%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP192^1 : 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 : n011.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 08:25:20 AM UTC 2026 % Result : Theorem 0.84s 1.05s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP192^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:18:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.38/0.64 %----Proving TH0 % 0.84/1.05 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.84/1.05 % SZS status Theorem % 0.84/1.05 % SZS output start Proof % 0.84/1.05 ( % 0.84/1.05 (declare-sort tptp.late_subject 0) % 0.84/1.05 (declare-sort tptp.pi 0) % 0.84/1.05 (declare-sort tptp.name 0) % 0.84/1.05 (declare-sort tptp.noption_name 0) % 0.84/1.05 (declare-sort tptp.noption_Late_subject 0) % 0.84/1.05 (declare-sort tptp.noption_Late_freeRes 0) % 0.84/1.05 (declare-sort tptp.noption_pi 0) % 0.84/1.05 (declare-sort tptp.produc1998742700t_name 0) % 0.84/1.05 (declare-sort tptp.produc2052722628s_name 0) % 0.84/1.05 (declare-sort tptp.late_freeRes 0) % 0.84/1.05 (declare-sort tptp.produc355105483reeRes 0) % 0.84/1.05 (declare-sort tptp.set_Pr1834926343_pi_pi 0) % 0.84/1.05 (declare-sort tptp.produc140253050ect_pi 0) % 0.84/1.05 (declare-sort tptp.produc1834551554reeRes 0) % 0.84/1.05 (declare-sort tptp.produc1359399907ubject 0) % 0.84/1.05 (declare-sort tptp.produc865358760ubject 0) % 0.84/1.05 (declare-sort tptp.late_residual 0) % 0.84/1.05 (declare-sort tptp.produc405342261i_name 0) % 0.84/1.05 (declare-sort tptp.product_prod_pi_pi 0) % 0.84/1.05 (declare-sort tptp.produc2008547984reeRes 0) % 0.84/1.05 (declare-sort tptp.produc214645451ubject 0) % 0.84/1.05 (declare-sort tptp.produc629157763_pi_pi 0) % 0.84/1.05 (declare-sort tptp.produc1357834675reeRes 0) % 0.84/1.05 (declare-sort tptp.produc1462499409ion_pi 0) % 0.84/1.05 (declare-sort tptp.produc992857746Res_pi 0) % 0.84/1.05 (declare-sort tptp.produc691362330ubject 0) % 0.84/1.05 (declare-const tptp.product_Pair_pi_pi (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) % 0.84/1.05 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) % 0.84/1.05 (declare-const tptp.member558706512_pi_pi (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) % 0.84/1.05 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) % 0.84/1.05 (declare-const tptp.strong2129052853vative (-> tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi Bool)) % 0.84/1.05 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) % 0.84/1.05 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) % 0.84/1.05 (declare-const tptp.if_name (-> Bool tptp.name tptp.name tptp.name)) % 0.84/1.05 (declare-const tptp.bang (-> tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.match (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.mismatch (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.piNil tptp.pi) % 0.84/1.05 (declare-const tptp.fresh_1093033124n_name (-> tptp.name (-> tptp.name tptp.noption_name) Bool)) % 0.84/1.05 (declare-const tptp.fresh_785364841reeRes (-> tptp.name (-> tptp.name tptp.noption_Late_freeRes) Bool)) % 0.84/1.05 (declare-const tptp.fresh_728038529ubject (-> tptp.name (-> tptp.name tptp.noption_Late_subject) Bool)) % 0.84/1.05 (declare-const tptp.abs_fu1904601852ubject (-> tptp.name tptp.late_subject tptp.name tptp.noption_Late_subject)) % 0.84/1.05 (declare-const tptp.abs_fu681348580reeRes (-> tptp.name tptp.late_freeRes tptp.name tptp.noption_Late_freeRes)) % 0.84/1.05 (declare-const tptp.abs_fun_name_name (-> tptp.name tptp.name tptp.name tptp.noption_name)) % 0.84/1.05 (declare-const tptp.abs_fun_name_pi (-> tptp.name tptp.pi tptp.name tptp.noption_pi)) % 0.84/1.05 (declare-const tptp.output (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.produc324947500ect_pi (-> tptp.late_subject tptp.pi tptp.produc140253050ect_pi)) % 0.84/1.05 (declare-const tptp.fresh_1638563217reeRes (-> tptp.name tptp.produc355105483reeRes Bool)) % 0.84/1.05 (declare-const tptp.produc242091907reeRes (-> tptp.late_subject tptp.late_freeRes tptp.produc355105483reeRes)) % 0.84/1.05 (declare-const tptp.fresh_495373993ubject (-> tptp.name tptp.produc1359399907ubject Bool)) % 0.84/1.05 (declare-const tptp.produc1465345179ubject (-> tptp.late_subject tptp.late_subject tptp.produc1359399907ubject)) % 0.84/1.05 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.collec1051790738_pi_pi (-> (-> tptp.product_prod_pi_pi Bool) tptp.set_Pr1834926343_pi_pi)) % 0.84/1.05 (declare-const tptp.fresh_567880928ubject (-> tptp.name tptp.produc691362330ubject Bool)) % 0.84/1.05 (declare-const tptp.par (-> tptp.pi tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.fresh_253309757_pi_pi (-> tptp.name tptp.produc629157763_pi_pi Bool)) % 0.84/1.05 (declare-const tptp.xPQ tptp.pi) % 0.84/1.05 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) % 0.84/1.05 (declare-const tptp.fresh_1953561446t_name (-> tptp.name tptp.produc1998742700t_name Bool)) % 0.84/1.05 (declare-const tptp.fresh_2007541374s_name (-> tptp.name tptp.produc2052722628s_name Bool)) % 0.84/1.05 (declare-const tptp.late_TauR tptp.late_freeRes) % 0.84/1.05 (declare-const tptp.fresh_1847501388Res_pi (-> tptp.name tptp.produc992857746Res_pi Bool)) % 0.84/1.05 (declare-const tptp.pq tptp.pi) % 0.84/1.05 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.eqvt_pi (-> tptp.set_Pr1834926343_pi_pi Bool)) % 0.84/1.05 (declare-const tptp.p tptp.pi) % 0.84/1.05 (declare-const tptp.y tptp.name) % 0.84/1.05 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) % 0.84/1.05 (declare-const tptp.q2 tptp.pi) % 0.84/1.05 (declare-const tptp.produc1647375838t_name (-> tptp.late_subject tptp.name tptp.produc1998742700t_name)) % 0.84/1.05 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) % 0.84/1.05 (declare-const tptp.fresh_994896692ect_pi (-> tptp.name tptp.produc140253050ect_pi Bool)) % 0.84/1.05 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) % 0.84/1.05 (declare-const tptp.aa tptp.name) % 0.84/1.05 (declare-const tptp.fresh_1498103185ubject (-> tptp.name tptp.produc214645451ubject Bool)) % 0.84/1.05 (declare-const tptp.sum (-> tptp.pi tptp.pi tptp.pi)) % 0.84/1.05 (declare-const tptp.p2 tptp.pi) % 0.84/1.05 (declare-const tptp.z tptp.name) % 0.84/1.05 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) % 0.84/1.05 (declare-const tptp.x tptp.name) % 0.84/1.05 (declare-const tptp.alpha tptp.late_freeRes) % 0.84/1.05 (declare-const tptp.fresh_493808761reeRes (-> tptp.name tptp.produc1357834675reeRes Bool)) % 0.84/1.05 (declare-const tptp.produc320590723ubject (-> tptp.late_freeRes tptp.late_subject tptp.produc214645451ubject)) % 0.84/1.05 (declare-const tptp.produc1244821099reeRes (-> tptp.late_freeRes tptp.late_freeRes tptp.produc1357834675reeRes)) % 0.84/1.05 (declare-const tptp.produc1701355766s_name (-> tptp.late_freeRes tptp.name tptp.produc2052722628s_name)) % 0.84/1.05 (declare-const tptp.produc1177552196Res_pi (-> tptp.late_freeRes tptp.pi tptp.produc992857746Res_pi)) % 0.84/1.05 (declare-const tptp.produc607574050ubject (-> tptp.name tptp.late_subject tptp.produc865358760ubject)) % 0.84/1.05 (declare-const tptp.fresh_820177506ubject (-> tptp.name tptp.produc865358760ubject Bool)) % 0.84/1.05 (declare-const tptp.produc1531804426reeRes (-> tptp.name tptp.late_freeRes tptp.produc2008547984reeRes)) % 0.84/1.05 (declare-const tptp.fresh_1963366730reeRes (-> tptp.name tptp.produc2008547984reeRes Bool)) % 0.84/1.05 (declare-const tptp.rel tptp.set_Pr1834926343_pi_pi) % 0.84/1.05 (declare-const tptp.subs (-> tptp.pi tptp.name tptp.name tptp.pi)) % 0.84/1.05 (declare-const tptp.produc581368530ubject (-> (-> tptp.name tptp.noption_pi) tptp.late_subject tptp.produc691362330ubject)) % 0.84/1.05 (declare-const tptp.produc1505598906reeRes (-> (-> tptp.name tptp.noption_pi) tptp.late_freeRes tptp.produc1834551554reeRes)) % 0.84/1.05 (declare-const tptp.produc540578151i_name (-> (-> tptp.name tptp.noption_pi) tptp.name tptp.produc405342261i_name)) % 0.84/1.05 (declare-const tptp.produc1820286517_pi_pi (-> (-> tptp.name tptp.noption_pi) tptp.pi tptp.produc629157763_pi_pi)) % 0.84/1.05 (declare-const tptp.produc1342893193ion_pi (-> (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.produc1462499409ion_pi)) % 0.84/1.05 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) % 0.84/1.05 (declare-const tptp.fresh_1711070152reeRes (-> tptp.name tptp.produc1834551554reeRes Bool)) % 0.84/1.05 (declare-const tptp.fresh_453496559i_name (-> tptp.name tptp.produc405342261i_name Bool)) % 0.84/1.05 (declare-const tptp.fresh_543891186ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) Bool)) % 0.84/1.05 (declare-const tptp.fresh_225680151ion_pi (-> tptp.name tptp.produc1462499409ion_pi Bool)) % 0.84/1.05 (declare-const tptp.fresh_1627595501_pi_pi (-> tptp.name tptp.product_prod_pi_pi Bool)) % 0.84/1.05 (declare-const tptp.q tptp.pi) % 0.84/1.05 (declare-const tptp.tau (-> tptp.pi tptp.pi)) % 0.84/1.05 (define tptp.fresh_name_name () (let ((_let_1 (@var "B" tptp.name))) (let ((_let_2 (@var "A2" tptp.name))) (lambda (@list _let_2 _let_1) (not (= _let_2 _let_1)))))) % 0.84/1.05 (define tptp.strong743114133lation () (let ((_let_1 (@var "Rel2" tptp.set_Pr1834926343_pi_pi))) (let ((_let_2 (@var "Q6" tptp.pi))) (let ((_let_3 (@var "P8" tptp.pi))) (let ((_let_4 (@var "Alpha3" tptp.late_freeRes))) (let ((_let_5 (_ tptp.late_FreeR _let_4))) (let ((_let_6 (@var "P7" 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))))))))))))))))))))) % 0.84/1.05 (define tptp.subst_name () (let ((_let_1 (@var "A2" tptp.name))) (let ((_let_2 (@var "C4" tptp.name))) (let ((_let_3 (@var "B" tptp.name))) (lambda (@list _let_1 _let_3 _let_2) (_ (_ (_ tptp.if_name (= _let_1 _let_3)) _let_2) _let_1)))))) % 0.84/1.05 (define @t1 () (_ tptp.fresh_name_pi tptp.y)) % 0.84/1.05 (define @t2 () (_ (_ tptp.fresh_name_pi tptp.x) tptp.p)) % 0.84/1.05 (define @t3 () (_ tptp.fresh_name_pi tptp.z)) % 0.84/1.05 (define @t4 () (_ tptp.late_transitions tptp.p)) % 0.84/1.05 (define @t5 () (_ tptp.late_FreeR tptp.alpha)) % 0.84/1.05 (define @t6 () (_ (_ tptp.par tptp.p) tptp.q)) % 0.84/1.05 (define @t7 () (@var "A" tptp.name)) % 0.84/1.05 (define @t8 () (_ tptp.fresh_1641682979reeRes @t7)) % 0.84/1.05 (define @t9 () (@list @t7)) % 0.84/1.05 (define @t10 () (@var "X1" tptp.pi)) % 0.84/1.05 (define @t11 () (_ tptp.fresh_name_pi @t7)) % 0.84/1.05 (define @t12 () (_ @t11 @t10)) % 0.84/1.05 (define @t13 () (@var "X2" tptp.pi)) % 0.84/1.05 (define @t14 () (and (_ @t11 @t13) @t12)) % 0.84/1.05 (define @t15 () (_ (_ tptp.par @t13) @t10)) % 0.84/1.05 (define @t16 () (@list @t7 @t13 @t10)) % 0.84/1.05 (define @t17 () (@var "Alpha" tptp.late_freeRes)) % 0.84/1.05 (define @t18 () (@var "Y" tptp.name)) % 0.84/1.05 (define @t19 () (_ (_ tptp.fresh_1641682979reeRes @t18) @t17)) % 0.84/1.05 (define @t20 () (@var "P" tptp.pi)) % 0.84/1.05 (define @t21 () (_ tptp.fresh_name_pi @t18)) % 0.84/1.05 (define @t22 () (_ @t21 @t20)) % 0.84/1.05 (define @t23 () (@var "P2" tptp.pi)) % 0.84/1.05 (define @t24 () (_ tptp.late_FreeR @t17)) % 0.84/1.05 (define @t25 () (_ @t24 @t23)) % 0.84/1.05 (define @t26 () (_ tptp.late_transitions @t20)) % 0.84/1.05 (define @t27 () (_ @t26 @t25)) % 0.84/1.05 (define @t28 () (@list @t20 @t17 @t23 @t18)) % 0.84/1.05 (define @t29 () (@var "XP" tptp.pi)) % 0.84/1.05 (define @t30 () (@var "F" (-> tptp.pi Bool))) % 0.84/1.05 (define @t31 () (@var "P3" tptp.pi)) % 0.84/1.05 (define @t32 () (@var "X" tptp.name)) % 0.84/1.05 (define @t33 () (_ tptp.res @t32)) % 0.84/1.05 (define @t34 () (_ tptp.fresh_1641682979reeRes @t32)) % 0.84/1.05 (define @t35 () (_ @t26 (_ @t24 @t31))) % 0.84/1.05 (define @t36 () (@list @t31)) % 0.84/1.05 (define @t37 () (_ @t33 @t20)) % 0.84/1.05 (define @t38 () (_ tptp.late_transitions @t37)) % 0.84/1.05 (define @t39 () (@var "Alpha2" tptp.late_freeRes)) % 0.84/1.05 (define @t40 () (@var "Y2" tptp.name)) % 0.84/1.05 (define @t41 () (_ tptp.fresh_1641682979reeRes @t40)) % 0.84/1.05 (define @t42 () (_ tptp.late_FreeR @t39)) % 0.84/1.05 (define @t43 () (@var "P4" tptp.pi)) % 0.84/1.05 (define @t44 () (_ tptp.late_transitions @t43)) % 0.84/1.05 (define @t45 () (=> (_ @t44 (_ @t42 @t31)) (not (_ @t41 @t39)))) % 0.84/1.05 (define @t46 () (_ tptp.res @t40)) % 0.84/1.05 (define @t47 () (_ @t46 @t31)) % 0.84/1.05 (define @t48 () (_ @t42 @t47)) % 0.84/1.05 (define @t49 () (_ @t46 @t43)) % 0.84/1.05 (define @t50 () (= @t37 @t49)) % 0.84/1.05 (define @t51 () (@list @t43 @t39 @t31 @t40)) % 0.84/1.05 (define @t52 () (_ tptp.res @t18)) % 0.84/1.05 (define @t53 () (_ @t52 @t23)) % 0.84/1.05 (define @t54 () (_ tptp.late_transitions (_ @t52 @t20))) % 0.84/1.05 (define @t55 () (@var "S" tptp.pi)) % 0.84/1.05 (define @t56 () (@var "R" tptp.pi)) % 0.84/1.05 (define @t57 () (_ tptp.par @t56)) % 0.84/1.05 (define @t58 () (_ @t57 @t55)) % 0.84/1.05 (define @t59 () (_ @t57 (_ @t52 @t55))) % 0.84/1.05 (define @t60 () (_ @t21 @t56)) % 0.84/1.05 (define @t61 () (@var "Z" tptp.name)) % 0.84/1.05 (define @t62 () (_ tptp.res @t61)) % 0.84/1.05 (define @t63 () (@var "Q" tptp.pi)) % 0.84/1.05 (define @t64 () (_ tptp.par @t23)) % 0.84/1.05 (define @t65 () (_ @t64 @t63)) % 0.84/1.05 (define @t66 () (@var "A" tptp.late_subject)) % 0.84/1.05 (define @t67 () (_ tptp.late_BoundR @t66)) % 0.84/1.05 (define @t68 () (_ @t67 @t32)) % 0.84/1.05 (define @t69 () (_ tptp.par @t20)) % 0.84/1.05 (define @t70 () (_ @t69 @t63)) % 0.84/1.05 (define @t71 () (_ tptp.late_transitions @t70)) % 0.84/1.05 (define @t72 () (_ @t71 (_ @t68 @t65))) % 0.84/1.05 (define @t73 () (_ tptp.fresh_name_pi @t32)) % 0.84/1.05 (define @t74 () (_ @t73 @t63)) % 0.84/1.05 (define @t75 () (_ @t68 @t23)) % 0.84/1.05 (define @t76 () (_ @t26 @t75)) % 0.84/1.05 (define @t77 () (@list @t20 @t66 @t32 @t23 @t63)) % 0.84/1.05 (define @t78 () (@var "Q2" tptp.pi)) % 0.84/1.05 (define @t79 () (_ @t69 @t78)) % 0.84/1.05 (define @t80 () (_ @t71 (_ @t68 @t79))) % 0.84/1.05 (define @t81 () (_ @t73 @t20)) % 0.84/1.05 (define @t82 () (_ tptp.late_transitions @t63)) % 0.84/1.05 (define @t83 () (_ @t82 (_ @t68 @t78))) % 0.84/1.05 (define @t84 () (@list @t63 @t66 @t32 @t78 @t20)) % 0.84/1.05 (define @t85 () (@var "Y1" tptp.name)) % 0.84/1.05 (define @t86 () (@var "X1" tptp.name)) % 0.84/1.05 (define @t87 () (= @t86 @t85)) % 0.84/1.05 (define @t88 () (_ tptp.late_BoundOutputS @t86)) % 0.84/1.05 (define @t89 () (@list @t86 @t85)) % 0.84/1.05 (define @t90 () (@var "X" tptp.late_subject)) % 0.84/1.05 (define @t91 () (@var "C" tptp.name)) % 0.84/1.05 (define @t92 () (@list @t91)) % 0.84/1.05 (define @t93 () (@var "X" tptp.late_freeRes)) % 0.84/1.05 (define @t94 () (@var "X" tptp.pi)) % 0.84/1.05 (define @t95 () (@var "Y1" tptp.pi)) % 0.84/1.05 (define @t96 () (= @t10 @t95)) % 0.84/1.05 (define @t97 () (@var "Y22" tptp.pi)) % 0.84/1.05 (define @t98 () (= @t13 @t97)) % 0.84/1.05 (define @t99 () (and @t98 @t96)) % 0.84/1.05 (define @t100 () (@list @t13 @t10 @t97 @t95)) % 0.84/1.05 (define @t101 () (@var "Y22" tptp.late_freeRes)) % 0.84/1.05 (define @t102 () (@var "X2" tptp.late_freeRes)) % 0.84/1.05 (define @t103 () (= @t102 @t101)) % 0.84/1.05 (define @t104 () (_ (_ tptp.late_FreeR @t102) @t10)) % 0.84/1.05 (define @t105 () (@var "Pi" tptp.pi)) % 0.84/1.05 (define @t106 () (@var "Name" tptp.name)) % 0.84/1.05 (define @t107 () (_ (_ tptp.res @t106) @t105)) % 0.84/1.05 (define @t108 () (@var "Pi2" tptp.pi)) % 0.84/1.05 (define @t109 () (@var "Pi1" tptp.pi)) % 0.84/1.05 (define @t110 () (_ (_ tptp.par @t109) @t108)) % 0.84/1.05 (define @t111 () (@list @t109 @t108 @t106 @t105)) % 0.84/1.05 (define @t112 () (_ (_ tptp.res @t7) @t20)) % 0.84/1.05 (define @t113 () (@var "Residual" tptp.late_residual)) % 0.84/1.05 (define @t114 () (@var "P" (-> tptp.late_residual Bool))) % 0.84/1.05 (define @t115 () (@var "Pi3" tptp.pi)) % 0.84/1.05 (define @t116 () (@var "FreeRes" tptp.late_freeRes)) % 0.84/1.05 (define @t117 () (_ (_ tptp.late_FreeR @t116) @t115)) % 0.84/1.05 (define @t118 () (@var "Name2" tptp.name)) % 0.84/1.05 (define @t119 () (@var "Subject" tptp.late_subject)) % 0.84/1.05 (define @t120 () (_ (_ (_ tptp.late_BoundR @t119) @t118) @t115)) % 0.84/1.05 (define @t121 () (@var "FreeRes2" tptp.late_freeRes)) % 0.84/1.05 (define @t122 () (@var "Pi4" tptp.pi)) % 0.84/1.05 (define @t123 () (@var "Name3" tptp.name)) % 0.84/1.05 (define @t124 () (@var "Subject2" tptp.late_subject)) % 0.84/1.05 (define @t125 () (@var "P" (-> tptp.late_subject Bool))) % 0.84/1.05 (define @t126 () (@list @t118)) % 0.84/1.05 (define @t127 () (_ @t82 (_ @t24 @t78))) % 0.84/1.05 (define @t128 () (_ @t21 @t23)) % 0.84/1.05 (define @t129 () (not (= @t18 @t32))) % 0.84/1.05 (define @t130 () (@list @t20 @t66 @t32 @t23 @t18)) % 0.84/1.05 (define @t131 () (@var "A" tptp.product_prod_pi_pi)) % 0.84/1.05 (define @t132 () (@var "P" (-> tptp.product_prod_pi_pi Bool))) % 0.84/1.05 (define @t133 () (_ tptp.collec1051790738_pi_pi @t132)) % 0.84/1.05 (define @t134 () (@var "A3" tptp.set_Pr1834926343_pi_pi)) % 0.84/1.05 (define @t135 () (@var "X3" tptp.product_prod_pi_pi)) % 0.84/1.05 (define @t136 () (@var "Q" (-> tptp.product_prod_pi_pi Bool))) % 0.84/1.05 (define @t137 () (@var "X4" tptp.product_prod_pi_pi)) % 0.84/1.05 (define @t138 () (@var "Z" tptp.late_subject)) % 0.84/1.05 (define @t139 () (@var "P" (-> tptp.late_subject tptp.late_residual Bool))) % 0.84/1.05 (define @t140 () (@var "Z2" tptp.late_subject)) % 0.84/1.05 (define @t141 () (_ @t139 @t140)) % 0.84/1.05 (define @t142 () (_ tptp.fresh_717452603ubject @t118)) % 0.84/1.05 (define @t143 () (_ @t142 @t119)) % 0.84/1.05 (define @t144 () (_ @t142 @t140)) % 0.84/1.05 (define @t145 () (@var "Z" tptp.late_freeRes)) % 0.84/1.05 (define @t146 () (@var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) % 0.84/1.05 (define @t147 () (@var "Z2" tptp.late_freeRes)) % 0.84/1.05 (define @t148 () (_ @t146 @t147)) % 0.84/1.05 (define @t149 () (_ (_ tptp.fresh_1641682979reeRes @t118) @t147)) % 0.84/1.05 (define @t150 () (@var "P" (-> tptp.name tptp.late_residual Bool))) % 0.84/1.05 (define @t151 () (@var "Z2" tptp.name)) % 0.84/1.05 (define @t152 () (_ @t150 @t151)) % 0.84/1.05 (define @t153 () (_ (_ tptp.fresh_name_name @t118) @t151)) % 0.84/1.05 (define @t154 () (@var "Z" tptp.pi)) % 0.84/1.05 (define @t155 () (@var "P" (-> tptp.pi tptp.late_residual Bool))) % 0.84/1.05 (define @t156 () (@var "Z2" tptp.pi)) % 0.84/1.05 (define @t157 () (_ @t155 @t156)) % 0.84/1.05 (define @t158 () (_ (_ tptp.fresh_name_pi @t118) @t156)) % 0.84/1.05 (define @t159 () (@var "PQ" tptp.pi)) % 0.84/1.05 (define @t160 () (@var "Prop" (-> tptp.pi Bool))) % 0.84/1.05 (define @t161 () (@var "Q3" tptp.pi)) % 0.84/1.05 (define @t162 () (_ tptp.par @t31)) % 0.84/1.05 (define @t163 () (_ @t26 (_ @t68 @t31))) % 0.84/1.05 (define @t164 () (@var "Y" tptp.late_subject)) % 0.84/1.05 (define @t165 () (_ tptp.fresh_717452603ubject @t7)) % 0.84/1.05 (define @t166 () (_ @t165 @t164)) % 0.84/1.05 (define @t167 () (_ @t165 @t90)) % 0.84/1.05 (define @t168 () (@list @t7 @t90 @t164)) % 0.84/1.05 (define @t169 () (@var "Y" tptp.late_freeRes)) % 0.84/1.05 (define @t170 () (_ @t8 @t169)) % 0.84/1.05 (define @t171 () (_ tptp.fresh_name_name @t7)) % 0.84/1.05 (define @t172 () (_ @t171 @t18)) % 0.84/1.05 (define @t173 () (@var "Y" tptp.pi)) % 0.84/1.05 (define @t174 () (_ @t11 @t173)) % 0.84/1.05 (define @t175 () (_ @t8 @t93)) % 0.84/1.05 (define @t176 () (@list @t7 @t93 @t169)) % 0.84/1.05 (define @t177 () (_ @t171 @t32)) % 0.84/1.05 (define @t178 () (_ (_ tptp.subs @t78) @t32)) % 0.84/1.05 (define @t179 () (_ tptp.late_FreeR tptp.late_TauR)) % 0.84/1.05 (define @t180 () (_ @t71 (_ @t179 (_ @t52 (_ @t64 (_ @t178 @t18)))))) % 0.84/1.05 (define @t181 () (= @t32 @t18)) % 0.84/1.05 (define @t182 () (not @t181)) % 0.84/1.05 (define @t183 () (not (= @t18 @t7))) % 0.84/1.05 (define @t184 () (_ @t73 @t23)) % 0.84/1.05 (define @t185 () (not (= @t32 @t7))) % 0.84/1.05 (define @t186 () (_ @t21 @t63)) % 0.84/1.05 (define @t187 () (_ tptp.late_InputS @t7)) % 0.84/1.05 (define @t188 () (_ (_ tptp.late_BoundR @t187) @t32)) % 0.84/1.05 (define @t189 () (_ @t82 (_ @t188 @t78))) % 0.84/1.05 (define @t190 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t7))) % 0.84/1.05 (define @t191 () (_ @t190 @t18)) % 0.84/1.05 (define @t192 () (_ @t26 (_ @t191 @t23))) % 0.84/1.05 (define @t193 () (@list @t20 @t7 @t18 @t23 @t63 @t32 @t78)) % 0.84/1.05 (define @t194 () (_ (_ tptp.subs @t23) @t32)) % 0.84/1.05 (define @t195 () (_ @t71 (_ @t179 (_ @t52 (_ (_ tptp.par (_ @t194 @t18)) @t78))))) % 0.84/1.05 (define @t196 () (_ @t73 @t78)) % 0.84/1.05 (define @t197 () (_ @t82 (_ @t191 @t78))) % 0.84/1.05 (define @t198 () (_ @t26 (_ @t188 @t23))) % 0.84/1.05 (define @t199 () (@list @t20 @t7 @t32 @t23 @t63 @t18 @t78)) % 0.84/1.05 (define @t200 () (_ tptp.late_InputS @t86)) % 0.84/1.05 (define @t201 () (@var "Y22" tptp.name)) % 0.84/1.05 (define @t202 () (@var "X2" tptp.name)) % 0.84/1.05 (define @t203 () (= @t202 @t201)) % 0.84/1.05 (define @t204 () (_ tptp.late_BoundOutputS @t202)) % 0.84/1.05 (define @t205 () (@var "B3" tptp.late_subject)) % 0.84/1.05 (define @t206 () (@var "B2" tptp.late_subject)) % 0.84/1.05 (define @t207 () (= @t206 @t205)) % 0.84/1.05 (define @t208 () (@var "A4" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t209 () (@var "A" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t210 () (= @t209 @t208)) % 0.84/1.05 (define @t211 () (= (_ (_ tptp.produc581368530ubject @t209) @t206) (_ (_ tptp.produc581368530ubject @t208) @t205))) % 0.84/1.05 (define @t212 () (@list @t209 @t206 @t208 @t205)) % 0.84/1.05 (define @t213 () (@var "B3" tptp.late_freeRes)) % 0.84/1.05 (define @t214 () (@var "B2" tptp.late_freeRes)) % 0.84/1.05 (define @t215 () (= @t214 @t213)) % 0.84/1.05 (define @t216 () (= (_ (_ tptp.produc1505598906reeRes @t209) @t214) (_ (_ tptp.produc1505598906reeRes @t208) @t213))) % 0.84/1.05 (define @t217 () (@list @t209 @t214 @t208 @t213)) % 0.84/1.05 (define @t218 () (@var "B3" tptp.name)) % 0.84/1.05 (define @t219 () (@var "B2" tptp.name)) % 0.84/1.05 (define @t220 () (= @t219 @t218)) % 0.84/1.05 (define @t221 () (= (_ (_ tptp.produc540578151i_name @t209) @t219) (_ (_ tptp.produc540578151i_name @t208) @t218))) % 0.84/1.05 (define @t222 () (@list @t209 @t219 @t208 @t218)) % 0.84/1.05 (define @t223 () (@var "B3" tptp.pi)) % 0.84/1.05 (define @t224 () (@var "B2" tptp.pi)) % 0.84/1.05 (define @t225 () (= @t224 @t223)) % 0.84/1.05 (define @t226 () (= (_ (_ tptp.produc1820286517_pi_pi @t209) @t224) (_ (_ tptp.produc1820286517_pi_pi @t208) @t223))) % 0.84/1.05 (define @t227 () (@list @t209 @t224 @t208 @t223)) % 0.84/1.05 (define @t228 () (@var "B3" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t229 () (@var "B2" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t230 () (= @t229 @t228)) % 0.84/1.05 (define @t231 () (= (_ (_ tptp.produc1342893193ion_pi @t209) @t229) (_ (_ tptp.produc1342893193ion_pi @t208) @t228))) % 0.84/1.05 (define @t232 () (@list @t209 @t229 @t208 @t228)) % 0.84/1.05 (define @t233 () (@var "A4" tptp.pi)) % 0.84/1.05 (define @t234 () (@var "A" tptp.pi)) % 0.84/1.05 (define @t235 () (= @t234 @t233)) % 0.84/1.05 (define @t236 () (= (_ (_ tptp.product_Pair_pi_pi @t234) @t224) (_ (_ tptp.product_Pair_pi_pi @t233) @t223))) % 0.84/1.05 (define @t237 () (@list @t234 @t224 @t233 @t223)) % 0.84/1.05 (define @t238 () (@var "Y22" tptp.late_subject)) % 0.84/1.05 (define @t239 () (@var "X2" tptp.late_subject)) % 0.84/1.05 (define @t240 () (@var "Y1" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t241 () (@var "X1" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t242 () (= @t241 @t240)) % 0.84/1.05 (define @t243 () (@var "Y22" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t244 () (@var "X2" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t245 () (_ tptp.subs @t20)) % 0.84/1.05 (define @t246 () (_ @t245 @t7)) % 0.84/1.05 (define @t247 () (@var "D" tptp.name)) % 0.84/1.05 (define @t248 () (@var "C2" tptp.name)) % 0.84/1.05 (define @t249 () (_ (_ @t245 @t248) @t247)) % 0.84/1.05 (define @t250 () (not (= @t32 @t247))) % 0.84/1.05 (define @t251 () (not (= @t32 @t248))) % 0.84/1.05 (define @t252 () (_ (_ (_ tptp.subs @t63) @t248) @t247)) % 0.84/1.05 (define @t253 () (@list @t20 @t63 @t248 @t247)) % 0.84/1.05 (define @t254 () (_ @t246 @t219)) % 0.84/1.05 (define @t255 () (_ tptp.fresh_name_pi @t219)) % 0.84/1.05 (define @t256 () (_ @t255 @t20)) % 0.84/1.05 (define @t257 () (_ tptp.fresh_81631222sidual @t7)) % 0.84/1.05 (define @t258 () (_ @t171 @t86)) % 0.84/1.05 (define @t259 () (@list @t7 @t86)) % 0.84/1.05 (define @t260 () (_ @t11 @t20)) % 0.84/1.05 (define @t261 () (_ (_ @t245 @t219) @t248)) % 0.84/1.05 (define @t262 () (not (= @t7 @t248))) % 0.84/1.05 (define @t263 () (= @t7 @t219)) % 0.84/1.05 (define @t264 () (not @t263)) % 0.84/1.05 (define @t265 () (@list @t7 @t219 @t20)) % 0.84/1.05 (define @t266 () (@var "Rs" tptp.late_residual)) % 0.84/1.05 (define @t267 () (_ @t26 @t266)) % 0.84/1.05 (define @t268 () (_ tptp.res @t219)) % 0.84/1.05 (define @t269 () (_ @t268 @t254)) % 0.84/1.05 (define @t270 () (@list @t219 @t20 @t7)) % 0.84/1.05 (define @t271 () (_ @t54 (_ @t68 @t53))) % 0.84/1.05 (define @t272 () (_ (_ tptp.fresh_717452603ubject @t18) @t66)) % 0.84/1.05 (define @t273 () (=> @t22 @t272)) % 0.84/1.05 (define @t274 () (forall @t130 (=> @t76 @t273))) % 0.84/1.05 (define @t275 () (@var "Y2" tptp.late_subject)) % 0.84/1.05 (define @t276 () (@var "X4" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t277 () (@var "P5" tptp.produc691362330ubject)) % 0.84/1.05 (define @t278 () (@var "Y2" tptp.late_freeRes)) % 0.84/1.05 (define @t279 () (@var "P5" tptp.produc1834551554reeRes)) % 0.84/1.05 (define @t280 () (@var "P5" tptp.produc405342261i_name)) % 0.84/1.05 (define @t281 () (@var "Y2" tptp.pi)) % 0.84/1.05 (define @t282 () (@var "P5" tptp.produc629157763_pi_pi)) % 0.84/1.05 (define @t283 () (@var "Y2" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t284 () (@var "P5" tptp.produc1462499409ion_pi)) % 0.84/1.05 (define @t285 () (@var "X4" tptp.pi)) % 0.84/1.05 (define @t286 () (@var "P5" tptp.product_prod_pi_pi)) % 0.84/1.05 (define @t287 () (@var "P" (-> tptp.produc691362330ubject Bool))) % 0.84/1.05 (define @t288 () (@var "B4" tptp.late_subject)) % 0.84/1.05 (define @t289 () (@var "A5" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t290 () (_ (_ tptp.produc581368530ubject @t289) @t288)) % 0.84/1.05 (define @t291 () (@list @t289 @t288)) % 0.84/1.05 (define @t292 () (forall @t291 (_ @t287 @t290))) % 0.84/1.05 (define @t293 () (@var "P" (-> tptp.produc1834551554reeRes Bool))) % 0.84/1.05 (define @t294 () (@var "B4" tptp.late_freeRes)) % 0.84/1.05 (define @t295 () (_ (_ tptp.produc1505598906reeRes @t289) @t294)) % 0.84/1.05 (define @t296 () (@list @t289 @t294)) % 0.84/1.05 (define @t297 () (forall @t296 (_ @t293 @t295))) % 0.84/1.05 (define @t298 () (@var "P" (-> tptp.produc405342261i_name Bool))) % 0.84/1.05 (define @t299 () (@var "B4" tptp.name)) % 0.84/1.05 (define @t300 () (_ (_ tptp.produc540578151i_name @t289) @t299)) % 0.84/1.05 (define @t301 () (@list @t289 @t299)) % 0.84/1.05 (define @t302 () (forall @t301 (_ @t298 @t300))) % 0.84/1.05 (define @t303 () (@var "P" (-> tptp.produc629157763_pi_pi Bool))) % 0.84/1.05 (define @t304 () (@var "B4" tptp.pi)) % 0.84/1.05 (define @t305 () (_ (_ tptp.produc1820286517_pi_pi @t289) @t304)) % 0.84/1.05 (define @t306 () (@list @t289 @t304)) % 0.84/1.05 (define @t307 () (forall @t306 (_ @t303 @t305))) % 0.84/1.05 (define @t308 () (@var "P" (-> tptp.produc1462499409ion_pi Bool))) % 0.84/1.05 (define @t309 () (@var "B4" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t310 () (_ (_ tptp.produc1342893193ion_pi @t289) @t309)) % 0.84/1.05 (define @t311 () (@list @t289 @t309)) % 0.84/1.05 (define @t312 () (forall @t311 (_ @t308 @t310))) % 0.84/1.05 (define @t313 () (@var "A5" tptp.pi)) % 0.84/1.05 (define @t314 () (_ (_ tptp.product_Pair_pi_pi @t313) @t304)) % 0.84/1.05 (define @t315 () (@list @t313 @t304)) % 0.84/1.05 (define @t316 () (forall @t315 (_ @t132 @t314))) % 0.84/1.05 (define @t317 () (not @t225)) % 0.84/1.05 (define @t318 () (@var "Y" tptp.produc691362330ubject)) % 0.84/1.05 (define @t319 () (@var "Y" tptp.produc1834551554reeRes)) % 0.84/1.05 (define @t320 () (@var "Y" tptp.produc405342261i_name)) % 0.84/1.05 (define @t321 () (@var "Y" tptp.produc629157763_pi_pi)) % 0.84/1.05 (define @t322 () (@var "Y" tptp.produc1462499409ion_pi)) % 0.84/1.05 (define @t323 () (@var "Y" tptp.product_prod_pi_pi)) % 0.84/1.05 (define @t324 () (@var "Prod" tptp.produc691362330ubject)) % 0.84/1.05 (define @t325 () (@var "Prod" tptp.produc1834551554reeRes)) % 0.84/1.05 (define @t326 () (@var "Prod" tptp.produc405342261i_name)) % 0.84/1.05 (define @t327 () (@var "Prod" tptp.produc629157763_pi_pi)) % 0.84/1.05 (define @t328 () (@var "Prod" tptp.produc1462499409ion_pi)) % 0.84/1.05 (define @t329 () (@var "Prod" tptp.product_prod_pi_pi)) % 0.84/1.05 (define @t330 () (_ tptp.fresh_717452603ubject @t32)) % 0.84/1.05 (define @t331 () (_ @t330 @t66)) % 0.84/1.05 (define @t332 () (@var "A5" tptp.late_subject)) % 0.84/1.05 (define @t333 () (@var "X4" tptp.name)) % 0.84/1.05 (define @t334 () (_ tptp.fresh_717452603ubject @t333)) % 0.84/1.05 (define @t335 () (_ @t334 @t332)) % 0.84/1.05 (define @t336 () (not @t335)) % 0.84/1.05 (define @t337 () (@var "Q4" tptp.pi)) % 0.84/1.05 (define @t338 () (_ tptp.fresh_name_pi @t333)) % 0.84/1.05 (define @t339 () (_ @t338 @t43)) % 0.84/1.05 (define @t340 () (=> @t339 (=> (_ @t338 @t337) @t336))) % 0.84/1.05 (define @t341 () (_ tptp.late_BoundR @t332)) % 0.84/1.05 (define @t342 () (_ @t341 @t333)) % 0.84/1.05 (define @t343 () (_ @t342 @t161)) % 0.84/1.05 (define @t344 () (_ tptp.par @t43)) % 0.84/1.05 (define @t345 () (_ (_ (_ tptp.late_BoundR @t206) @t18) @t23)) % 0.84/1.05 (define @t346 () (= @t70 (_ @t344 @t337))) % 0.84/1.05 (define @t347 () (_ @t44 (_ @t342 @t31))) % 0.84/1.05 (define @t348 () (@var "X" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t349 () (_ (_ tptp.fresh_567880928ubject @t7) (_ (_ tptp.produc581368530ubject @t348) @t164))) % 0.84/1.05 (define @t350 () (@list @t7 @t348 @t164)) % 0.84/1.05 (define @t351 () (_ (_ tptp.fresh_1711070152reeRes @t7) (_ (_ tptp.produc1505598906reeRes @t348) @t169))) % 0.84/1.05 (define @t352 () (@list @t7 @t348 @t169)) % 0.84/1.05 (define @t353 () (_ (_ tptp.fresh_453496559i_name @t7) (_ (_ tptp.produc540578151i_name @t348) @t18))) % 0.84/1.05 (define @t354 () (@list @t7 @t348 @t18)) % 0.84/1.05 (define @t355 () (_ (_ tptp.fresh_253309757_pi_pi @t7) (_ (_ tptp.produc1820286517_pi_pi @t348) @t173))) % 0.84/1.05 (define @t356 () (@list @t7 @t348 @t173)) % 0.84/1.05 (define @t357 () (@var "Y" (-> tptp.name tptp.noption_pi))) % 0.84/1.05 (define @t358 () (_ tptp.fresh_543891186ion_pi @t7)) % 0.84/1.05 (define @t359 () (_ (_ tptp.fresh_225680151ion_pi @t7) (_ (_ tptp.produc1342893193ion_pi @t348) @t357))) % 0.84/1.05 (define @t360 () (@list @t7 @t348 @t357)) % 0.84/1.05 (define @t361 () (_ (_ tptp.fresh_1627595501_pi_pi @t7) (_ (_ tptp.product_Pair_pi_pi @t94) @t173))) % 0.84/1.05 (define @t362 () (@list @t7 @t94 @t173)) % 0.84/1.05 (define @t363 () (_ @t358 @t348)) % 0.84/1.05 (define @t364 () (@var "X22" tptp.name)) % 0.84/1.05 (define @t365 () (@var "X12" tptp.name)) % 0.84/1.05 (define @t366 () (_ tptp.fresh_717452603ubject @t40)) % 0.84/1.05 (define @t367 () (=> @t347 (=> (_ @t366 @t332) (=> (not (= @t40 @t333)) (=> @t339 @t336))))) % 0.84/1.05 (define @t368 () (_ @t342 @t47)) % 0.84/1.05 (define @t369 () (@list @t43 @t332 @t333 @t31 @t40)) % 0.84/1.05 (define @t370 () (@var "A5" tptp.name)) % 0.84/1.05 (define @t371 () (= @t370 @t299)) % 0.84/1.05 (define @t372 () (_ tptp.late_OutputR @t370)) % 0.84/1.05 (define @t373 () (_ tptp.late_FreeR (_ @t372 @t299))) % 0.84/1.05 (define @t374 () (=> (_ @t44 (_ @t373 @t31)) @t371)) % 0.84/1.05 (define @t375 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t370))) % 0.84/1.05 (define @t376 () (_ (_ @t375 @t299) @t31)) % 0.84/1.05 (define @t377 () (_ (_ tptp.res @t299) @t43)) % 0.84/1.05 (define @t378 () (@list @t43 @t370 @t299)) % 0.84/1.05 (define @t379 () (_ @t71 (_ @t179 (_ (_ tptp.par (_ @t194 @t219)) @t78)))) % 0.84/1.05 (define @t380 () (not (= @t32 @t219))) % 0.84/1.05 (define @t381 () (_ (_ tptp.late_OutputR @t7) @t219)) % 0.84/1.05 (define @t382 () (_ tptp.late_FreeR @t381)) % 0.84/1.05 (define @t383 () (_ @t82 (_ @t382 @t78))) % 0.84/1.05 (define @t384 () (@list @t20 @t7 @t32 @t23 @t63 @t219 @t78)) % 0.84/1.05 (define @t385 () (_ @t71 (_ @t179 (_ @t64 (_ @t178 @t219))))) % 0.84/1.05 (define @t386 () (_ @t382 @t23)) % 0.84/1.05 (define @t387 () (_ @t26 @t386)) % 0.84/1.05 (define @t388 () (@list @t20 @t7 @t219 @t23 @t63 @t32 @t78)) % 0.84/1.05 (define @t389 () (@var "Y3" tptp.name)) % 0.84/1.05 (define @t390 () (_ (_ @t67 @t389) @t23)) % 0.84/1.05 (define @t391 () (@var "X5" tptp.name)) % 0.84/1.05 (define @t392 () (_ (_ tptp.res @t391) @t20)) % 0.84/1.05 (define @t393 () (@var "Y12" tptp.name)) % 0.84/1.05 (define @t394 () (@var "X122" tptp.name)) % 0.84/1.05 (define @t395 () (@var "Y11" tptp.name)) % 0.84/1.05 (define @t396 () (@var "X11" tptp.name)) % 0.84/1.05 (define @t397 () (_ (_ tptp.late_OutputR @t396) @t394)) % 0.84/1.05 (define @t398 () (_ (_ tptp.late_OutputR @t202) @t86)) % 0.84/1.05 (define @t399 () (_ @t171 @t202)) % 0.84/1.05 (define @t400 () (@var "FreeRes3" tptp.late_freeRes)) % 0.84/1.05 (define @t401 () (@var "P" (-> tptp.late_freeRes Bool))) % 0.84/1.05 (define @t402 () (@var "Name22" tptp.name)) % 0.84/1.05 (define @t403 () (@var "Name1" tptp.name)) % 0.84/1.05 (define @t404 () (@var "Name23" tptp.name)) % 0.84/1.05 (define @t405 () (@var "Name12" tptp.name)) % 0.84/1.05 (define @t406 () (@var "X123" tptp.name)) % 0.84/1.05 (define @t407 () (@var "X112" tptp.name)) % 0.84/1.05 (define @t408 () (@list @t20 @t7 @t219 @t23)) % 0.84/1.05 (define @t409 () (@var "Rel" tptp.set_Pr1834926343_pi_pi)) % 0.84/1.05 (define @t410 () (_ (_ tptp.strong743114133lation @t20) @t409)) % 0.84/1.05 (define @t411 () (_ @t33 @t161)) % 0.84/1.05 (define @t412 () (@var "P6" tptp.pi)) % 0.84/1.05 (define @t413 () (_ tptp.product_Pair_pi_pi @t412)) % 0.84/1.05 (define @t414 () (_ @t26 (_ @t42 @t412))) % 0.84/1.05 (define @t415 () (@list @t412)) % 0.84/1.05 (define @t416 () (_ @t82 (_ @t42 @t161))) % 0.84/1.05 (define @t417 () (=> (forall (@list @t161 @t39) (=> @t416 (=> (_ @t34 @t39) (exists @t415 (and @t414 (_ (_ tptp.member558706512_pi_pi (_ @t413 @t411)) @t409)))))) (_ @t410 (_ @t33 @t63)))) % 0.84/1.05 (define @t418 () (_ tptp.strong2129052853vative @t412)) % 0.84/1.05 (define @t419 () (_ @t341 @t40)) % 0.84/1.05 (define @t420 () (_ @t26 (_ @t419 @t412))) % 0.84/1.05 (define @t421 () (exists @t415 (and @t420 (_ (_ (_ (_ @t418 @t411) @t332) @t40) @t409)))) % 0.84/1.05 (define @t422 () (@var "C3" tptp.late_subject)) % 0.84/1.05 (define @t423 () (not (= @t32 @t40))) % 0.84/1.05 (define @t424 () (_ @t330 @t332)) % 0.84/1.05 (define @t425 () (_ @t82 (_ @t419 @t161))) % 0.84/1.05 (define @t426 () (@list @t161 @t332 @t40)) % 0.84/1.05 (define @t427 () (_ (_ tptp.member558706512_pi_pi (_ @t413 @t161)) @t409)) % 0.84/1.05 (define @t428 () (forall (@list @t161 @t370) (=> (_ @t82 (_ (_ tptp.late_FreeR (_ @t372 @t32)) @t161)) (=> (not (= @t370 @t32)) (exists @t415 (and (_ @t26 (_ (_ @t375 @t32) @t412)) @t427)))))) % 0.84/1.05 (define @t429 () (_ tptp.eqvt_pi @t409)) % 0.84/1.05 (define @t430 () (@var "C3" tptp.late_freeRes)) % 0.84/1.05 (define @t431 () (@var "C3" tptp.name)) % 0.84/1.05 (define @t432 () (@var "C3" tptp.pi)) % 0.84/1.05 (define @t433 () (_ tptp.fresh_name_pi @t40)) % 0.84/1.05 (define @t434 () (_ @t410 @t63)) % 0.84/1.05 (define @t435 () (=> (forall (@list @t39 @t161) (=> @t416 (exists @t415 (and @t414 @t427)))) @t434)) % 0.84/1.05 (define @t436 () (_ (_ @t418 @t161) @t332)) % 0.84/1.05 (define @t437 () (_ tptp.par @t63)) % 0.84/1.05 (define @t438 () (@var "S2" tptp.pi)) % 0.84/1.05 (define @t439 () (_ tptp.res @t333)) % 0.84/1.05 (define @t440 () (_ @t439 @t438)) % 0.84/1.05 (define @t441 () (@var "R2" tptp.pi)) % 0.84/1.05 (define @t442 () (_ tptp.par @t438)) % 0.84/1.05 (define @t443 () (exists @t415 (and (_ @t26 (_ @t342 @t412)) (_ (_ @t436 @t333) @t409)))) % 0.84/1.05 (define @t444 () (_ @t338 @t63)) % 0.84/1.05 (define @t445 () (_ @t338 @t20)) % 0.84/1.05 (define @t446 () (_ @t82 @t343)) % 0.84/1.05 (define @t447 () (@list @t332 @t333 @t161)) % 0.84/1.05 (define @t448 () (@var "U" tptp.pi)) % 0.84/1.05 (define @t449 () (@var "T" tptp.pi)) % 0.84/1.05 (define @t450 () (_ (_ tptp.par @t449) @t448)) % 0.84/1.05 (define @t451 () (_ @t442 @t450)) % 0.84/1.05 (define @t452 () (_ @t442 @t449)) % 0.84/1.05 (define @t453 () (@list @t438 @t449 @t448 @t333)) % 0.84/1.05 (define @t454 () (_ (_ tptp.par @t452) @t448)) % 0.84/1.05 (define @t455 () (_ tptp.tau @t20)) % 0.84/1.05 (define @t456 () (_ tptp.late_transitions (_ @t33 @t455))) % 0.84/1.05 (define @t457 () (_ @t179 @t23)) % 0.84/1.05 (define @t458 () (_ tptp.output @t7)) % 0.84/1.05 (define @t459 () (_ (_ @t458 @t219) @t20)) % 0.84/1.05 (define @t460 () (_ tptp.late_transitions (_ @t33 @t459))) % 0.84/1.05 (define @t461 () (_ tptp.tau @t10)) % 0.84/1.05 (define @t462 () (@list @t7 @t10)) % 0.84/1.05 (define @t463 () (@list @t20 @t248 @t247)) % 0.84/1.05 (define @t464 () (@var "X32" tptp.name)) % 0.84/1.05 (define @t465 () (_ @t171 @t464)) % 0.84/1.05 (define @t466 () (and @t465 @t399 @t12)) % 0.84/1.05 (define @t467 () (_ (_ (_ tptp.output @t464) @t202) @t10)) % 0.84/1.05 (define @t468 () (@list @t7 @t464 @t202 @t10)) % 0.84/1.05 (define @t469 () (@list @t10 @t95)) % 0.84/1.05 (define @t470 () (@var "Y32" tptp.name)) % 0.84/1.05 (define @t471 () (= @t464 @t470)) % 0.84/1.05 (define @t472 () (and @t471 @t203 @t96)) % 0.84/1.05 (define @t473 () (@list @t464 @t202 @t10 @t470 @t201 @t95)) % 0.84/1.05 (define @t474 () (_ tptp.tau @t105)) % 0.84/1.05 (define @t475 () (_ (_ (_ tptp.output @t405) @t404) @t122)) % 0.84/1.05 (define @t476 () (@list @t405 @t404 @t122 @t105)) % 0.84/1.05 (define @t477 () (@list @t405 @t404 @t122 @t106 @t105)) % 0.84/1.05 (define @t478 () (@var "Pi22" tptp.pi)) % 0.84/1.05 (define @t479 () (@var "Pi12" tptp.pi)) % 0.84/1.05 (define @t480 () (_ (_ tptp.par @t479) @t478)) % 0.84/1.05 (define @t481 () (@list @t405 @t404 @t122 @t479 @t478)) % 0.84/1.05 (define @t482 () (_ tptp.tau @t122)) % 0.84/1.05 (define @t483 () (@list @t122 @t479 @t478)) % 0.84/1.05 (define @t484 () (@var "C2" tptp.late_subject)) % 0.84/1.05 (define @t485 () (_ tptp.late_transitions @t459)) % 0.84/1.05 (define @t486 () (_ tptp.late_transitions @t455)) % 0.84/1.05 (define @t487 () (= @t20 @t43)) % 0.84/1.05 (define @t488 () (= @t7 @t370)) % 0.84/1.05 (define @t489 () (and @t488 (= @t219 @t299) @t487)) % 0.84/1.05 (define @t490 () (@list @t7 @t219 @t20 @t266)) % 0.84/1.05 (define @t491 () (@var "Prop" (-> tptp.late_freeRes tptp.pi Bool))) % 0.84/1.05 (define @t492 () (_ (_ @t491 @t17) @t23)) % 0.84/1.05 (define @t493 () (= @t20 @t23)) % 0.84/1.05 (define @t494 () (_ @t485 @t25)) % 0.84/1.05 (define @t495 () (@list @t43)) % 0.84/1.05 (define @t496 () (@list @t20 @t266)) % 0.84/1.05 (define @t497 () (_ tptp.fresh_1641682979reeRes @t219)) % 0.84/1.05 (define @t498 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t219))) % 0.84/1.05 (define @t499 () (_ tptp.input @t7)) % 0.84/1.05 (define @t500 () (_ tptp.late_transitions (_ @t33 (_ (_ @t499 @t18) @t20)))) % 0.84/1.05 (define @t501 () (_ (_ tptp.abs_fun_name_pi @t86) @t13)) % 0.84/1.05 (define @t502 () (_ @t358 @t501)) % 0.84/1.05 (define @t503 () (@var "X32" tptp.late_subject)) % 0.84/1.05 (define @t504 () (_ (_ (_ tptp.late_BoundR @t503) @t86) @t13)) % 0.84/1.05 (define @t505 () (_ (_ (_ tptp.subst_name @t219) @t248) @t247)) % 0.84/1.05 (define @t506 () (_ tptp.subst_name @t7)) % 0.84/1.05 (define @t507 () (_ (_ @t506 @t248) @t247)) % 0.84/1.05 (define @t508 () (@list @t7 @t219 @t20 @t248 @t247)) % 0.84/1.05 (define @t509 () (_ (_ @t499 @t32) @t20)) % 0.84/1.05 (define @t510 () (_ tptp.subs @t509)) % 0.84/1.05 (define @t511 () (_ (_ tptp.res @t86) @t13)) % 0.84/1.05 (define @t512 () (_ (_ (_ tptp.input @t464) @t86) @t13)) % 0.84/1.05 (define @t513 () (_ (_ (_ tptp.input @t405) @t404) @t122)) % 0.84/1.05 (define @t514 () (= @t501 (_ (_ tptp.abs_fun_name_pi @t85) @t97))) % 0.84/1.05 (define @t515 () (_ tptp.abs_fun_name_name @t7)) % 0.84/1.05 (define @t516 () (_ @t515 @t32)) % 0.84/1.05 (define @t517 () (_ tptp.abs_fu681348580reeRes @t7)) % 0.84/1.05 (define @t518 () (_ @t517 @t93)) % 0.84/1.05 (define @t519 () (_ tptp.abs_fu1904601852ubject @t7)) % 0.84/1.05 (define @t520 () (_ @t519 @t90)) % 0.84/1.05 (define @t521 () (_ tptp.abs_fun_name_pi @t7)) % 0.84/1.05 (define @t522 () (_ @t521 @t94)) % 0.84/1.05 (define @t523 () (= @t219 @t7)) % 0.84/1.05 (define @t524 () (@var "Y32" tptp.late_subject)) % 0.84/1.05 (define @t525 () (@var "Name24" tptp.name)) % 0.84/1.05 (define @t526 () (@var "Name13" tptp.name)) % 0.84/1.05 (define @t527 () (_ (_ (_ tptp.input @t526) @t525) @t105)) % 0.84/1.05 (define @t528 () (@list @t405 @t404 @t122 @t526 @t525 @t105)) % 0.84/1.05 (define @t529 () (@list @t122 @t526 @t525 @t105)) % 0.84/1.05 (define @t530 () (_ tptp.late_transitions @t509)) % 0.84/1.05 (define @t531 () (_ @t188 @t20)) % 0.84/1.05 (define @t532 () (_ @t530 @t531)) % 0.84/1.05 (define @t533 () (forall (@list @t7 @t32 @t20) @t532)) % 0.84/1.05 (define @t534 () (_ @t165 @t206)) % 0.84/1.05 (define @t535 () (not @t534)) % 0.84/1.05 (define @t536 () (_ @t530 @t345)) % 0.84/1.05 (define @t537 () (@list @t7 @t32 @t20 @t206 @t18 @t23)) % 0.84/1.05 (define @t538 () (forall @t537 (=> @t536 @t535))) % 0.84/1.05 (define @t539 () (_ @t69 tptp.piNil)) % 0.84/1.05 (define @t540 () (_ (_ tptp.par @t337) tptp.piNil)) % 0.84/1.05 (define @t541 () (@list @t337)) % 0.84/1.05 (define @t542 () (@list @t409 @t20)) % 0.84/1.05 (define @t543 () (_ tptp.mismatch @t7)) % 0.84/1.05 (define @t544 () (_ (_ @t543 @t219) @t20)) % 0.84/1.05 (define @t545 () (_ (_ (_ tptp.mismatch @t464) @t202) @t10)) % 0.84/1.05 (define @t546 () (@list @t526 @t525 @t105)) % 0.84/1.05 (define @t547 () (_ (_ (_ tptp.mismatch @t526) @t525) @t105)) % 0.84/1.05 (define @t548 () (_ (_ (_ tptp.mismatch @t405) @t404) @t122)) % 0.84/1.05 (define @t549 () (_ (_ @t543 @t7) @t20)) % 0.84/1.05 (define @t550 () (_ (_ tptp.strong743114133lation tptp.piNil) @t409)) % 0.84/1.05 (define @t551 () (@var "F" (-> tptp.name tptp.name Bool))) % 0.84/1.05 (define @t552 () (_ @t551 @t7)) % 0.84/1.05 (define @t553 () (_ @t552 @t219)) % 0.84/1.05 (define @t554 () (_ (_ tptp.late_transitions @t544) @t266)) % 0.84/1.05 (define @t555 () (@list @t7 @t219 @t20 @t266 @t551)) % 0.84/1.05 (define @t556 () (_ @t44 @t266)) % 0.84/1.05 (define @t557 () (_ (_ (_ tptp.match @t7) @t219) @t20)) % 0.84/1.05 (define @t558 () (_ (_ (_ tptp.match @t464) @t202) @t10)) % 0.84/1.05 (define @t559 () (_ (_ (_ tptp.match @t405) @t404) @t122)) % 0.84/1.05 (define @t560 () (_ (_ (_ tptp.match @t526) @t525) @t105)) % 0.84/1.05 (define @t561 () (_ (_ tptp.late_transitions @t557) @t266)) % 0.84/1.05 (define @t562 () (@var "P" (-> tptp.late_subject tptp.pi Bool))) % 0.84/1.05 (define @t563 () (_ tptp.bang @t115)) % 0.84/1.05 (define @t564 () (_ @t562 @t140)) % 0.84/1.05 (define @t565 () (@var "Za" tptp.late_subject)) % 0.84/1.05 (define @t566 () (_ @t562 @t565)) % 0.84/1.05 (define @t567 () (@list @t565)) % 0.84/1.05 (define @t568 () (forall @t567 (_ @t566 @t115))) % 0.84/1.05 (define @t569 () (@list @t115 @t140)) % 0.84/1.05 (define @t570 () (_ (_ tptp.res @t118) @t115)) % 0.84/1.05 (define @t571 () (@var "Pi23" tptp.pi)) % 0.84/1.05 (define @t572 () (@var "Pi13" tptp.pi)) % 0.84/1.05 (define @t573 () (_ (_ tptp.par @t572) @t571)) % 0.84/1.05 (define @t574 () (forall @t567 (_ @t566 @t571))) % 0.84/1.05 (define @t575 () (forall @t567 (_ @t566 @t572))) % 0.84/1.05 (define @t576 () (@list @t572 @t571 @t140)) % 0.84/1.05 (define @t577 () (_ (_ tptp.sum @t572) @t571)) % 0.84/1.05 (define @t578 () (_ (_ (_ tptp.mismatch @t403) @t402) @t115)) % 0.84/1.05 (define @t579 () (@list @t403 @t402 @t115 @t140)) % 0.84/1.05 (define @t580 () (_ (_ (_ tptp.match @t403) @t402) @t115)) % 0.84/1.05 (define @t581 () (_ (_ (_ tptp.input @t403) @t402) @t115)) % 0.84/1.05 (define @t582 () (_ tptp.fresh_name_name @t402)) % 0.84/1.05 (define @t583 () (_ @t582 @t403)) % 0.84/1.05 (define @t584 () (_ tptp.tau @t115)) % 0.84/1.05 (define @t585 () (_ (_ (_ tptp.output @t403) @t402) @t115)) % 0.84/1.05 (define @t586 () (@var "P" (-> tptp.late_freeRes tptp.pi Bool))) % 0.84/1.05 (define @t587 () (_ @t586 @t147)) % 0.84/1.05 (define @t588 () (@var "Za" tptp.late_freeRes)) % 0.84/1.05 (define @t589 () (_ @t586 @t588)) % 0.84/1.05 (define @t590 () (@list @t588)) % 0.84/1.05 (define @t591 () (forall @t590 (_ @t589 @t115))) % 0.84/1.05 (define @t592 () (@list @t115 @t147)) % 0.84/1.05 (define @t593 () (forall @t590 (_ @t589 @t571))) % 0.84/1.05 (define @t594 () (forall @t590 (_ @t589 @t572))) % 0.84/1.05 (define @t595 () (@list @t572 @t571 @t147)) % 0.84/1.05 (define @t596 () (@list @t403 @t402 @t115 @t147)) % 0.84/1.05 (define @t597 () (@var "P" (-> tptp.name tptp.pi Bool))) % 0.84/1.05 (define @t598 () (_ @t597 @t151)) % 0.84/1.05 (define @t599 () (@var "Za" tptp.name)) % 0.84/1.05 (define @t600 () (_ @t597 @t599)) % 0.84/1.05 (define @t601 () (@list @t599)) % 0.84/1.05 (define @t602 () (forall @t601 (_ @t600 @t115))) % 0.84/1.05 (define @t603 () (@list @t115 @t151)) % 0.84/1.05 (define @t604 () (forall @t601 (_ @t600 @t571))) % 0.84/1.05 (define @t605 () (forall @t601 (_ @t600 @t572))) % 0.84/1.05 (define @t606 () (@list @t572 @t571 @t151)) % 0.84/1.05 (define @t607 () (@list @t403 @t402 @t115 @t151)) % 0.84/1.05 (define @t608 () (@var "P" (-> tptp.pi tptp.pi Bool))) % 0.84/1.05 (define @t609 () (_ @t608 @t156)) % 0.84/1.05 (define @t610 () (@var "Za" tptp.pi)) % 0.84/1.05 (define @t611 () (_ @t608 @t610)) % 0.84/1.05 (define @t612 () (@list @t610)) % 0.84/1.05 (define @t613 () (forall @t612 (_ @t611 @t115))) % 0.84/1.05 (define @t614 () (@list @t115 @t156)) % 0.84/1.05 (define @t615 () (forall @t612 (_ @t611 @t571))) % 0.84/1.05 (define @t616 () (forall @t612 (_ @t611 @t572))) % 0.84/1.05 (define @t617 () (@list @t572 @t571 @t156)) % 0.84/1.05 (define @t618 () (@list @t403 @t402 @t115 @t156)) % 0.84/1.05 (define @t619 () (_ tptp.bang @t10)) % 0.84/1.05 (define @t620 () (_ (_ tptp.sum @t13) @t10)) % 0.84/1.05 (define @t621 () (_ tptp.bang @t20)) % 0.84/1.05 (define @t622 () (_ (_ tptp.sum @t20) @t63)) % 0.84/1.05 (define @t623 () (_ (_ tptp.sum @t479) @t478)) % 0.84/1.05 (define @t624 () (_ tptp.bang @t105)) % 0.84/1.05 (define @t625 () (_ tptp.bang @t43)) % 0.84/1.05 (define @t626 () (_ (_ tptp.late_transitions @t621) @t266)) % 0.84/1.05 (define @t627 () (@list @t109 @t108 @t105)) % 0.84/1.05 (define @t628 () (_ @t82 @t266)) % 0.84/1.05 (define @t629 () (_ (_ tptp.late_transitions @t622) @t266)) % 0.84/1.05 (define @t630 () (_ (_ tptp.sum @t109) @t108)) % 0.84/1.05 (define @t631 () (@var "P" Bool)) % 0.84/1.05 (define @t632 () (@list @t32 @t18)) % 0.84/1.05 (define @t633 () (= tptp.x tptp.aa)) % 0.84/1.05 (define @t634 () (@var "B" tptp.name)) % 0.84/1.05 (define @t635 () (@var "A2" tptp.name)) % 0.84/1.05 (define @t636 () (= @t635 @t634)) % 0.84/1.05 (define @t637 () (lambda (@list @t635 @t634) (not @t636))) % 0.84/1.05 (define @t638 () (@var "Rel2" tptp.set_Pr1834926343_pi_pi)) % 0.84/1.05 (define @t639 () (@var "Q6" tptp.pi)) % 0.84/1.05 (define @t640 () (@var "P8" tptp.pi)) % 0.84/1.05 (define @t641 () (@var "Alpha3" tptp.late_freeRes)) % 0.84/1.05 (define @t642 () (_ tptp.late_FreeR @t641)) % 0.84/1.05 (define @t643 () (@var "P7" tptp.pi)) % 0.84/1.05 (define @t644 () (_ tptp.late_transitions @t643)) % 0.84/1.05 (define @t645 () (@list @t640)) % 0.84/1.05 (define @t646 () (@var "Q5" tptp.pi)) % 0.84/1.05 (define @t647 () (_ tptp.late_transitions @t646)) % 0.84/1.05 (define @t648 () (@var "X3" tptp.name)) % 0.84/1.05 (define @t649 () (@var "A2" tptp.late_subject)) % 0.84/1.05 (define @t650 () (_ (_ tptp.late_BoundR @t649) @t648)) % 0.84/1.05 (define @t651 () (lambda (@list @t643 @t638 @t646) (and (forall (@list @t649 @t648 @t639) (=> (and (_ @t647 (_ @t650 @t639)) (_ (_ tptp.fresh_name_pi @t648) @t643)) (exists @t645 (and (_ @t644 (_ @t650 @t640)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t640) @t639) @t649) @t648) @t638))))) (forall (@list @t641 @t639) (=> (_ @t647 (_ @t642 @t639)) (exists @t645 (and (_ @t644 (_ @t642 @t640)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t640) @t639)) @t638)))))))) % 0.84/1.05 (define @t652 () (@var "C4" tptp.name)) % 0.84/1.05 (define @t653 () (lambda (@list @t635 @t634 @t652) (_ (_ (_ tptp.if_name @t636) @t652) @t635))) % 0.84/1.05 (define @t654 () (tptp.late_InputS @t7)) % 0.84/1.05 (define @t655 () (tptp.late_BoundR @t654 @t32 @t20)) % 0.84/1.05 (define @t656 () (tptp.input @t7 @t32 @t20)) % 0.84/1.05 (define @t657 () (tptp.late_transitions @t656 @t655)) % 0.84/1.05 (define @t658 () (_ tptp.late_transitions @t656)) % 0.84/1.05 (define @t659 () (tptp.fresh_717452603ubject @t7 @t206)) % 0.84/1.05 (define @t660 () (tptp.late_BoundR @t206 @t18 @t23)) % 0.84/1.05 (define @t661 () (tptp.late_transitions @t656 @t660)) % 0.84/1.05 (define @t662 () (not @t536)) % 0.84/1.05 (define @t663 () (or @t662 @t535)) % 0.84/1.05 (define @t664 () (tptp.late_InputS tptp.x)) % 0.84/1.05 (define @t665 () (tptp.fresh_717452603ubject @t18 @t66)) % 0.84/1.05 (define @t666 () (tptp.fresh_name_pi @t18 @t20)) % 0.84/1.05 (define @t667 () (not @t22)) % 0.84/1.05 (define @t668 () (tptp.late_BoundR @t66 @t32 @t23)) % 0.84/1.05 (define @t669 () (tptp.late_transitions @t20 @t668)) % 0.84/1.05 (define @t670 () (not @t76)) % 0.84/1.05 (define @t671 () (or @t670 @t667 @t272)) % 0.84/1.05 (define @t672 () (_ tptp.late_InputS tptp.x)) % 0.84/1.05 (define @t673 () (_ (_ (_ tptp.late_BoundR @t672) tptp.y) tptp.p2)) % 0.84/1.05 (define @t674 () (tptp.late_BoundR @t664 tptp.y tptp.p2)) % 0.84/1.05 (define @t675 () (tptp.late_transitions tptp.p @t674)) % 0.84/1.05 (define @t676 () (tptp.fresh_name_pi tptp.x tptp.p)) % 0.84/1.05 (define @t677 () (tptp.fresh_717452603ubject tptp.x @t664)) % 0.84/1.05 (define @t678 () (not @t676)) % 0.84/1.05 (define @t679 () (not @t675)) % 0.84/1.05 (define @t680 () (or @t679 @t678 @t677)) % 0.84/1.05 (define @t681 () (@list false false false)) % 0.84/1.05 (define @t682 () (not @t677)) % 0.84/1.05 (define @t683 () (tptp.late_transitions (tptp.input tptp.x tptp.y tptp.p2) @t674)) % 0.84/1.05 (define @t684 () (not @t683)) % 0.84/1.05 (define @t685 () (or @t684 @t682)) % 0.84/1.05 (assume @p1 (_ @t1 tptp.p)) % 0.84/1.05 (assume @p2 (_ @t1 tptp.q2)) % 0.84/1.05 (assume @p3 (not (= tptp.y tptp.z))) % 0.84/1.05 (assume @p4 @t2) % 0.84/1.05 (assume @p5 (_ (_ tptp.fresh_name_name tptp.y) tptp.x)) % 0.84/1.05 (assume @p6 (not (= tptp.y tptp.aa))) % 0.84/1.05 (assume @p7 (_ @t1 tptp.q)) % 0.84/1.05 (assume @p8 (_ @t3 tptp.p2)) % 0.84/1.05 (assume @p9 (_ @t4 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS tptp.aa)) tptp.y) tptp.p2))) % 0.84/1.05 (assume @p10 (not (= tptp.z tptp.aa))) % 0.84/1.05 (assume @p11 (_ (_ tptp.fresh_name_name tptp.z) tptp.x)) % 0.84/1.05 (assume @p12 (_ @t3 tptp.p)) % 0.84/1.05 (assume @p13 (_ (_ tptp.fresh_1641682979reeRes tptp.x) tptp.alpha)) % 0.84/1.05 (assume @p14 (_ tptp.eqvt_pi tptp.rel)) % 0.84/1.05 (assume @p15 (= tptp.alpha tptp.late_TauR)) % 0.84/1.05 (assume @p16 (_ (_ tptp.late_transitions tptp.q) (_ (_ (_ tptp.late_BoundR (_ tptp.late_BoundOutputS tptp.aa)) tptp.z) tptp.q2))) % 0.84/1.05 (assume @p17 (_ @t3 tptp.q)) % 0.84/1.05 (assume @p18 (_ (_ tptp.late_transitions (_ (_ tptp.res tptp.x) @t6)) (_ @t5 tptp.xPQ))) % 0.84/1.05 (assume @p19 (_ (_ tptp.late_transitions @t6) (_ @t5 tptp.pq))) % 0.84/1.05 (assume @p20 (forall @t9 (_ @t8 tptp.late_TauR))) % 0.84/1.05 (assume @p21 (forall @t16 (= (_ @t11 @t15) @t14))) % 0.84/1.05 (assume @p22 (forall @t28 (=> @t27 (=> @t22 @t19)))) % 0.84/1.05 (assume @p23 (forall (@list @t32 @t20 @t17 @t29 @t30) (=> (_ @t38 (_ @t24 @t29)) (=> (forall @t36 (=> @t35 (=> (_ @t34 @t17) (_ @t30 (_ @t33 @t31))))) (_ @t30 @t29))))) % 0.84/1.05 (assume @p24 (forall (@list @t32 @t20 @t17 @t23) (=> (_ @t38 @t25) (not (forall @t51 (=> @t50 (=> (= @t25 @t48) @t45))))))) % 0.84/1.05 (assume @p25 (forall @t28 (=> @t27 (=> @t19 (_ @t54 (_ @t24 @t53)))))) % 0.84/1.05 (assume @p26 (forall (@list @t18 @t56 @t55) (=> @t60 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t59) (_ @t52 @t58))) tptp.rel)))) % 0.84/1.05 (assume @p27 (forall (@list @t18 @t56 @t61 @t55) (=> @t60 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t62 @t59)) (_ @t52 (_ @t62 @t58)))) tptp.rel)))) % 0.84/1.05 (assume @p28 (forall @t77 (=> @t76 (=> @t74 @t72)))) % 0.84/1.05 (assume @p29 (forall @t84 (=> @t83 (=> @t81 @t80)))) % 0.84/1.05 (assume @p30 (forall @t89 (= (= @t88 (_ tptp.late_BoundOutputS @t85)) @t87))) % 0.84/1.05 (assume @p31 (forall (@list @t90) (not (forall @t92 (not (_ (_ tptp.fresh_717452603ubject @t91) @t90)))))) % 0.84/1.05 (assume @p32 (forall (@list @t93) (not (forall @t92 (not (_ (_ tptp.fresh_1641682979reeRes @t91) @t93)))))) % 0.84/1.05 (assume @p33 (forall (@list @t32) (not (forall @t92 (not (_ (_ tptp.fresh_name_name @t91) @t32)))))) % 0.84/1.05 (assume @p34 (forall (@list @t94) (not (forall @t92 (not (_ (_ tptp.fresh_name_pi @t91) @t94)))))) % 0.84/1.05 (assume @p35 (forall @t100 (= (= @t15 (_ (_ tptp.par @t97) @t95)) @t99))) % 0.84/1.05 (assume @p36 (forall (@list @t102 @t10 @t101 @t95) (= (= @t104 (_ (_ tptp.late_FreeR @t101) @t95)) (and @t103 @t96)))) % 0.84/1.05 (assume @p37 (forall @t111 (not (= @t110 @t107)))) % 0.84/1.05 (assume @p38 (forall (@list @t7 @t20) (_ @t11 @t112))) % 0.84/1.05 (assume @p39 (forall (@list @t114 @t113) (=> (forall (@list @t119 @t118 @t115) (_ @t114 @t120)) (=> (forall (@list @t116 @t115) (_ @t114 @t117)) (_ @t114 @t113))))) % 0.84/1.05 (assume @p40 (forall (@list @t124 @t123 @t122 @t121 @t105) (not (= (_ (_ (_ tptp.late_BoundR @t124) @t123) @t122) (_ (_ tptp.late_FreeR @t121) @t105))))) % 0.84/1.05 (assume @p41 (forall (@list @t125 @t124) (=> (forall @t126 (_ @t125 (_ tptp.late_InputS @t118))) (=> (forall @t126 (_ @t125 (_ tptp.late_BoundOutputS @t118))) (_ @t125 @t124))))) % 0.84/1.05 (assume @p42 (forall (@list @t123 @t106) (not (= (_ tptp.late_InputS @t123) (_ tptp.late_BoundOutputS @t106))))) % 0.84/1.05 (assume @p43 (forall (@list @t63 @t17 @t78 @t20) (=> @t127 (_ @t71 (_ @t24 @t79))))) % 0.84/1.05 (assume @p44 (forall (@list @t20 @t17 @t23 @t63) (=> @t27 (_ @t71 (_ @t24 @t65))))) % 0.84/1.05 (assume @p45 (forall @t130 (=> @t76 (=> @t22 (=> @t129 @t128))))) % 0.84/1.05 (assume @p46 (forall (@list @t131 @t132) (= (_ (_ tptp.member558706512_pi_pi @t131) @t133) (_ @t132 @t131)))) % 0.84/1.05 (assume @p47 (forall (@list @t134) (= (_ tptp.collec1051790738_pi_pi (lambda (@list @t135) (_ (_ tptp.member558706512_pi_pi @t135) @t134))) @t134))) % 0.84/1.05 (assume @p48 (forall (@list @t132 @t136) (=> (forall (@list @t137) (= (_ @t132 @t137) (_ @t136 @t137))) (= @t133 (_ tptp.collec1051790738_pi_pi @t136))))) % 0.84/1.05 (assume @p49 (forall (@list @t139 @t138 @t113) (=> (forall (@list @t119 @t118 @t115 @t140) (=> @t144 (=> @t143 (_ @t141 @t120)))) (=> (forall (@list @t116 @t115 @t140) (_ @t141 @t117)) (_ (_ @t139 @t138) @t113))))) % 0.84/1.05 (assume @p50 (forall (@list @t146 @t145 @t113) (=> (forall (@list @t119 @t118 @t115 @t147) (=> @t149 (=> @t143 (_ @t148 @t120)))) (=> (forall (@list @t116 @t115 @t147) (_ @t148 @t117)) (_ (_ @t146 @t145) @t113))))) % 0.84/1.05 (assume @p51 (forall (@list @t150 @t61 @t113) (=> (forall (@list @t119 @t118 @t115 @t151) (=> @t153 (=> @t143 (_ @t152 @t120)))) (=> (forall (@list @t116 @t115 @t151) (_ @t152 @t117)) (_ (_ @t150 @t61) @t113))))) % 0.84/1.05 (assume @p52 (forall (@list @t155 @t154 @t113) (=> (forall (@list @t119 @t118 @t115 @t156) (=> @t158 (=> @t143 (_ @t157 @t120)))) (=> (forall (@list @t116 @t115 @t156) (_ @t157 @t117)) (_ (_ @t155 @t154) @t113))))) % 0.84/1.05 (assume @p53 (forall @t28 (=> @t27 (=> @t22 @t128)))) % 0.84/1.05 (assume @p54 (forall (@list @t20 @t63 @t66 @t32 @t159 @t160) (=> (_ @t71 (_ @t68 @t159)) (=> @t81 (=> @t74 (=> (forall @t36 (=> @t163 (_ @t160 (_ @t162 @t63)))) (=> (forall (@list @t161) (=> (_ @t82 (_ @t68 @t161)) (_ @t160 (_ @t69 @t161)))) (_ @t160 @t159)))))))) % 0.84/1.05 (assume @p55 (forall @t168 (= (_ (_ tptp.fresh_495373993ubject @t7) (_ (_ tptp.produc1465345179ubject @t90) @t164)) (and @t167 @t166)))) % 0.84/1.05 (assume @p56 (forall (@list @t7 @t90 @t169) (= (_ (_ tptp.fresh_1638563217reeRes @t7) (_ (_ tptp.produc242091907reeRes @t90) @t169)) (and @t167 @t170)))) % 0.84/1.05 (assume @p57 (forall (@list @t7 @t90 @t18) (= (_ (_ tptp.fresh_1953561446t_name @t7) (_ (_ tptp.produc1647375838t_name @t90) @t18)) (and @t167 @t172)))) % 0.84/1.05 (assume @p58 (forall (@list @t7 @t90 @t173) (= (_ (_ tptp.fresh_994896692ect_pi @t7) (_ (_ tptp.produc324947500ect_pi @t90) @t173)) (and @t167 @t174)))) % 0.84/1.05 (assume @p59 (forall (@list @t7 @t93 @t164) (= (_ (_ tptp.fresh_1498103185ubject @t7) (_ (_ tptp.produc320590723ubject @t93) @t164)) (and @t175 @t166)))) % 0.84/1.05 (assume @p60 (forall @t176 (= (_ (_ tptp.fresh_493808761reeRes @t7) (_ (_ tptp.produc1244821099reeRes @t93) @t169)) (and @t175 @t170)))) % 0.84/1.05 (assume @p61 (forall (@list @t7 @t93 @t18) (= (_ (_ tptp.fresh_2007541374s_name @t7) (_ (_ tptp.produc1701355766s_name @t93) @t18)) (and @t175 @t172)))) % 0.84/1.05 (assume @p62 (forall (@list @t7 @t93 @t173) (= (_ (_ tptp.fresh_1847501388Res_pi @t7) (_ (_ tptp.produc1177552196Res_pi @t93) @t173)) (and @t175 @t174)))) % 0.84/1.05 (assume @p63 (forall (@list @t7 @t32 @t164) (= (_ (_ tptp.fresh_820177506ubject @t7) (_ (_ tptp.produc607574050ubject @t32) @t164)) (and @t177 @t166)))) % 0.84/1.05 (assume @p64 (forall (@list @t7 @t32 @t169) (= (_ (_ tptp.fresh_1963366730reeRes @t7) (_ (_ tptp.produc1531804426reeRes @t32) @t169)) (and @t177 @t170)))) % 0.84/1.05 (assume @p65 (forall @t193 (=> @t192 (=> @t189 (=> @t81 (=> @t74 (=> @t22 (=> @t186 (=> @t185 (=> @t184 (=> @t183 (=> (_ @t21 @t78) (=> @t182 @t180))))))))))))) % 0.84/1.05 (assume @p66 (forall @t199 (=> @t198 (=> @t197 (=> @t81 (=> @t74 (=> @t22 (=> @t186 (=> @t185 (=> @t196 (=> @t183 (=> @t128 (=> @t182 @t195))))))))))))) % 0.84/1.05 (assume @p67 (forall @t193 (=> @t192 (=> @t189 (=> @t186 @t180))))) % 0.84/1.05 (assume @p68 (forall @t199 (=> @t198 (=> @t197 (=> @t22 @t195))))) % 0.84/1.05 (assume @p69 (forall @t89 (= (= @t200 (_ tptp.late_InputS @t85)) @t87))) % 0.84/1.05 (assume @p70 (forall (@list @t202 @t201) (= (= @t204 (_ tptp.late_BoundOutputS @t201)) @t203))) % 0.84/1.05 (assume @p71 (forall @t212 (= @t211 (and @t210 @t207)))) % 0.84/1.05 (assume @p72 (forall @t217 (= @t216 (and @t210 @t215)))) % 0.84/1.05 (assume @p73 (forall @t222 (= @t221 (and @t210 @t220)))) % 0.84/1.05 (assume @p74 (forall @t227 (= @t226 (and @t210 @t225)))) % 0.84/1.05 (assume @p75 (forall @t232 (= @t231 (and @t210 @t230)))) % 0.84/1.05 (assume @p76 (forall @t237 (= @t236 (and @t235 @t225)))) % 0.84/1.05 (assume @p77 (forall (@list @t241 @t239 @t240 @t238) (= (= (_ (_ tptp.produc581368530ubject @t241) @t239) (_ (_ tptp.produc581368530ubject @t240) @t238)) (and @t242 (= @t239 @t238))))) % 0.84/1.05 (assume @p78 (forall (@list @t241 @t102 @t240 @t101) (= (= (_ (_ tptp.produc1505598906reeRes @t241) @t102) (_ (_ tptp.produc1505598906reeRes @t240) @t101)) (and @t242 @t103)))) % 0.84/1.05 (assume @p79 (forall (@list @t241 @t202 @t240 @t201) (= (= (_ (_ tptp.produc540578151i_name @t241) @t202) (_ (_ tptp.produc540578151i_name @t240) @t201)) (and @t242 @t203)))) % 0.84/1.05 (assume @p80 (forall (@list @t241 @t13 @t240 @t97) (= (= (_ (_ tptp.produc1820286517_pi_pi @t241) @t13) (_ (_ tptp.produc1820286517_pi_pi @t240) @t97)) (and @t242 @t98)))) % 0.84/1.05 (assume @p81 (forall (@list @t241 @t244 @t240 @t243) (= (= (_ (_ tptp.produc1342893193ion_pi @t241) @t244) (_ (_ tptp.produc1342893193ion_pi @t240) @t243)) (and @t242 (= @t244 @t243))))) % 0.84/1.05 (assume @p82 (forall (@list @t10 @t13 @t95 @t97) (= (= (_ (_ tptp.product_Pair_pi_pi @t10) @t13) (_ (_ tptp.product_Pair_pi_pi @t95) @t97)) (and @t96 @t98)))) % 0.84/1.05 (assume @p83 (forall (@list @t20 @t7) (= (_ @t246 @t7) @t20))) % 0.84/1.05 (assume @p84 (forall (@list @t32 @t248 @t247 @t20) (=> @t251 (=> @t250 (= (_ (_ (_ tptp.subs @t37) @t248) @t247) (_ @t33 @t249)))))) % 0.84/1.05 (assume @p85 (forall @t253 (= (_ (_ (_ tptp.subs @t70) @t248) @t247) (_ (_ tptp.par @t249) @t252)))) % 0.84/1.05 (assume @p86 (forall (@list @t219 @t20 @t7 @t248) (=> @t256 (= (_ (_ (_ tptp.subs @t254) @t219) @t248) (_ @t246 @t248))))) % 0.84/1.05 (assume @p87 (forall (@list @t7 @t102 @t10) (= (_ @t257 @t104) (and (_ @t8 @t102) @t12)))) % 0.84/1.05 (assume @p88 (forall @t259 (= (_ @t165 @t88) @t258))) % 0.84/1.05 (assume @p89 (forall @t259 (= (_ @t165 @t200) @t258))) % 0.84/1.05 (assume @p90 (forall (@list @t7 @t20 @t219) (=> @t260 (= @t254 @t20)))) % 0.84/1.05 (assume @p91 (forall (@list @t7 @t20 @t248 @t219) (=> @t260 (=> @t262 (_ @t11 @t261))))) % 0.84/1.05 (assume @p92 (forall @t265 (=> @t264 (_ @t11 @t254)))) % 0.84/1.05 (assume @p93 (forall (@list @t20 @t266 @t32) (=> @t267 (=> @t81 (_ (_ tptp.fresh_81631222sidual @t32) @t266))))) % 0.84/1.05 (assume @p94 (forall @t270 (=> @t256 (= @t112 @t269)))) % 0.84/1.05 (assume @p95 (forall @t270 (=> @t256 (= (_ (_ (_ tptp.subs @t112) @t7) @t219) @t269)))) % 0.84/1.05 (assume @p96 (forall @t130 (=> @t76 (=> @t272 (=> @t129 @t271))))) % 0.84/1.05 (assume @p97 @t274) % 0.84/1.05 (assume @p98 (forall (@list @t277) (exists (@list @t276 @t275) (= @t277 (_ (_ tptp.produc581368530ubject @t276) @t275))))) % 0.84/1.05 (assume @p99 (forall (@list @t279) (exists (@list @t276 @t278) (= @t279 (_ (_ tptp.produc1505598906reeRes @t276) @t278))))) % 0.84/1.05 (assume @p100 (forall (@list @t280) (exists (@list @t276 @t40) (= @t280 (_ (_ tptp.produc540578151i_name @t276) @t40))))) % 0.84/1.05 (assume @p101 (forall (@list @t282) (exists (@list @t276 @t281) (= @t282 (_ (_ tptp.produc1820286517_pi_pi @t276) @t281))))) % 0.84/1.05 (assume @p102 (forall (@list @t284) (exists (@list @t276 @t283) (= @t284 (_ (_ tptp.produc1342893193ion_pi @t276) @t283))))) % 0.84/1.05 (assume @p103 (forall (@list @t286) (exists (@list @t285 @t281) (= @t286 (_ (_ tptp.product_Pair_pi_pi @t285) @t281))))) % 0.84/1.05 (assume @p104 (forall (@list @t287 @t277) (=> @t292 (_ @t287 @t277)))) % 0.84/1.05 (assume @p105 (forall (@list @t293 @t279) (=> @t297 (_ @t293 @t279)))) % 0.84/1.05 (assume @p106 (forall (@list @t298 @t280) (=> @t302 (_ @t298 @t280)))) % 0.84/1.05 (assume @p107 (forall (@list @t303 @t282) (=> @t307 (_ @t303 @t282)))) % 0.84/1.05 (assume @p108 (forall (@list @t308 @t284) (=> @t312 (_ @t308 @t284)))) % 0.84/1.05 (assume @p109 (forall (@list @t132 @t286) (=> @t316 (_ @t132 @t286)))) % 0.84/1.05 (assume @p110 (forall @t212 (=> @t211 (not (=> @t210 (not @t207)))))) % 0.84/1.05 (assume @p111 (forall @t217 (=> @t216 (not (=> @t210 (not @t215)))))) % 0.84/1.05 (assume @p112 (forall @t222 (=> @t221 (not (=> @t210 (not @t220)))))) % 0.84/1.05 (assume @p113 (forall @t227 (=> @t226 (not (=> @t210 @t317))))) % 0.84/1.05 (assume @p114 (forall @t232 (=> @t231 (not (=> @t210 (not @t230)))))) % 0.84/1.05 (assume @p115 (forall @t237 (=> @t236 (not (=> @t235 @t317))))) % 0.84/1.05 (assume @p116 (forall (@list @t318) (not (forall @t291 (not (= @t318 @t290)))))) % 0.84/1.05 (assume @p117 (forall (@list @t319) (not (forall @t296 (not (= @t319 @t295)))))) % 0.84/1.05 (assume @p118 (forall (@list @t320) (not (forall @t301 (not (= @t320 @t300)))))) % 0.84/1.05 (assume @p119 (forall (@list @t321) (not (forall @t306 (not (= @t321 @t305)))))) % 0.84/1.05 (assume @p120 (forall (@list @t322) (not (forall @t311 (not (= @t322 @t310)))))) % 0.84/1.05 (assume @p121 (forall (@list @t323) (not (forall @t315 (not (= @t323 @t314)))))) % 0.84/1.05 (assume @p122 (forall (@list @t287 @t324) (=> @t292 (_ @t287 @t324)))) % 0.84/1.05 (assume @p123 (forall (@list @t293 @t325) (=> @t297 (_ @t293 @t325)))) % 0.84/1.05 (assume @p124 (forall (@list @t298 @t326) (=> @t302 (_ @t298 @t326)))) % 0.84/1.05 (assume @p125 (forall (@list @t303 @t327) (=> @t307 (_ @t303 @t327)))) % 0.84/1.05 (assume @p126 (forall (@list @t308 @t328) (=> @t312 (_ @t308 @t328)))) % 0.84/1.05 (assume @p127 (forall (@list @t132 @t329) (=> @t316 (_ @t132 @t329)))) % 0.84/1.05 (assume @p128 (forall @t130 (=> @t76 (=> @t272 (=> @t129 (=> @t81 (=> @t331 @t271))))))) % 0.84/1.05 (assume @p129 (forall (@list @t20 @t63 @t206 @t18 @t23) (=> (_ @t71 @t345) (=> (forall (@list @t43 @t332 @t333 @t31 @t337) (=> @t346 (=> (= @t345 (_ @t342 (_ @t162 @t337))) (=> @t347 @t340)))) (not (forall (@list @t337 @t332 @t333 @t161 @t43) (=> @t346 (=> (= @t345 (_ @t342 (_ @t344 @t161))) (=> (_ (_ tptp.late_transitions @t337) @t343) @t340))))))))) % 0.84/1.05 (assume @p130 (forall @t77 (=> @t76 (=> @t81 (=> @t74 (=> @t331 @t72)))))) % 0.84/1.05 (assume @p131 (forall @t84 (=> @t83 (=> @t81 (=> @t74 (=> @t331 @t80)))))) % 0.84/1.05 (assume @p132 (forall @t350 (=> @t349 @t166))) % 0.84/1.05 (assume @p133 (forall @t352 (=> @t351 @t170))) % 0.84/1.05 (assume @p134 (forall @t354 (=> @t353 @t172))) % 0.84/1.05 (assume @p135 (forall @t356 (=> @t355 @t174))) % 0.84/1.05 (assume @p136 (forall @t360 (=> @t359 (_ @t358 @t357)))) % 0.84/1.05 (assume @p137 (forall @t362 (=> @t361 @t174))) % 0.84/1.05 (assume @p138 (forall @t350 (=> @t349 @t363))) % 0.84/1.05 (assume @p139 (forall @t352 (=> @t351 @t363))) % 0.84/1.05 (assume @p140 (forall @t354 (=> @t353 @t363))) % 0.84/1.05 (assume @p141 (forall @t356 (=> @t355 @t363))) % 0.84/1.05 (assume @p142 (forall @t360 (=> @t359 @t363))) % 0.84/1.05 (assume @p143 (forall @t362 (=> @t361 (_ @t11 @t94)))) % 0.84/1.05 (assume @p144 (forall (@list @t86 @t202) (not (= @t200 @t204)))) % 0.84/1.05 (assume @p145 (forall (@list @t164) (=> (forall (@list @t365) (not (= @t164 (_ tptp.late_InputS @t365)))) (not (forall (@list @t364) (not (= @t164 (_ tptp.late_BoundOutputS @t364)))))))) % 0.84/1.05 (assume @p146 (forall (@list @t32 @t20 @t266) (=> (_ @t38 @t266) (=> (forall @t378 (=> (= @t37 @t377) (forall @t36 (=> (= @t266 @t376) @t374)))) (=> (forall @t369 (=> @t50 (=> (= @t266 @t368) @t367))) (not (forall @t51 (=> @t50 (=> (= @t266 @t48) @t45))))))))) % 0.84/1.05 (assume @p147 (forall @t384 (=> @t198 (=> @t383 (=> @t81 (=> @t74 (=> @t185 (=> @t380 (=> @t196 @t379))))))))) % 0.84/1.05 (assume @p148 (forall @t388 (=> @t387 (=> @t189 (=> @t81 (=> @t74 (=> @t185 (=> @t380 (=> @t184 @t385))))))))) % 0.84/1.05 (assume @p149 (forall @t384 (=> @t198 (=> @t383 @t379)))) % 0.84/1.05 (assume @p150 (forall @t388 (=> @t387 (=> @t189 @t385)))) % 0.84/1.05 (assume @p151 (forall (@list @t391 @t20 @t66 @t389 @t23) (=> (_ (_ tptp.late_transitions @t392) @t390) (=> (forall @t378 (=> (= @t392 @t377) (forall @t36 (=> (= @t390 @t376) @t374)))) (not (forall @t369 (=> (= @t392 @t49) (=> (= @t390 @t368) @t367)))))))) % 0.84/1.05 (assume @p152 (forall (@list @t396 @t394 @t395 @t393) (= (= @t397 (_ (_ tptp.late_OutputR @t395) @t393)) (and (= @t396 @t395) (= @t394 @t393))))) % 0.84/1.05 (assume @p153 (forall (@list @t202 @t86 @t201 @t85) (= (= @t398 (_ (_ tptp.late_OutputR @t201) @t85)) (and @t203 @t87)))) % 0.84/1.05 (assume @p154 (forall (@list @t7 @t202 @t86) (= (_ @t8 @t398) (and @t399 @t258)))) % 0.84/1.05 (assume @p155 (forall (@list @t401 @t400) (=> (forall (@list @t403 @t402) (_ @t401 (_ (_ tptp.late_OutputR @t403) @t402))) (=> (_ @t401 tptp.late_TauR) (_ @t401 @t400))))) % 0.84/1.05 (assume @p156 (forall (@list @t405 @t404) (not (= (_ (_ tptp.late_OutputR @t405) @t404) tptp.late_TauR)))) % 0.84/1.05 (assume @p157 (forall (@list @t169) (=> (forall (@list @t407 @t406) (not (= @t169 (_ (_ tptp.late_OutputR @t407) @t406)))) (= @t169 tptp.late_TauR)))) % 0.84/1.05 (assume @p158 (forall (@list @t396 @t394) (not (= @t397 tptp.late_TauR)))) % 0.84/1.05 (assume @p159 (forall @t408 (=> @t387 (=> @t264 (_ (_ tptp.late_transitions (_ @t268 @t20)) (_ (_ @t190 @t219) @t23)))))) % 0.84/1.05 (assume @p160 (forall (@list @t409 @t63 @t32 @t20 @t422) (=> @t429 (=> @t428 (=> (forall @t426 (=> @t425 (=> @t424 (=> @t423 (=> (_ @t366 @t422) @t421))))) @t417))))) % 0.84/1.05 (assume @p161 (forall (@list @t409 @t63 @t32 @t20 @t430) (=> @t429 (=> @t428 (=> (forall @t426 (=> @t425 (=> @t424 (=> @t423 (=> (_ @t41 @t430) @t421))))) @t417))))) % 0.84/1.05 (assume @p162 (forall (@list @t409 @t63 @t32 @t20 @t431) (=> @t429 (=> @t428 (=> (forall @t426 (=> @t425 (=> @t424 (=> @t423 (=> (_ (_ tptp.fresh_name_name @t40) @t431) @t421))))) @t417))))) % 0.84/1.05 (assume @p163 (forall (@list @t409 @t63 @t32 @t20 @t432) (=> @t429 (=> @t428 (=> (forall @t426 (=> @t425 (=> @t424 (=> @t423 (=> (_ @t433 @t432) @t421))))) @t417))))) % 0.84/1.05 (assume @p164 (forall (@list @t20 @t409 @t63 @t66 @t32 @t78) (=> @t434 (=> @t83 (=> @t81 (exists @t36 (and @t163 (_ (_ (_ (_ (_ tptp.strong2129052853vative @t31) @t78) @t66) @t32) @t409)))))))) % 0.84/1.05 (assume @p165 (forall (@list @t20 @t409 @t63 @t17 @t78) (=> @t434 (=> @t127 (exists @t36 (and @t35 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t31) @t78)) @t409))))))) % 0.84/1.05 (assume @p166 (forall (@list @t63 @t20 @t409) (=> (forall (@list @t332 @t40 @t161) (=> @t425 (=> (_ @t433 @t20) (exists @t415 (and @t420 (_ (_ @t436 @t40) @t409)))))) @t435))) % 0.84/1.05 (assume @p167 (forall (@list @t409 @t20 @t63) (=> (forall (@list @t441 @t438) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par @t441) @t438)) (_ @t442 @t441))) @t409)) (=> (forall (@list @t441 @t438 @t333) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t441) @t438)) @t409) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t439 @t441)) @t440)) @t409))) (_ (_ (_ tptp.strong743114133lation @t70) @t409) (_ @t437 @t20)))))) % 0.84/1.05 (assume @p168 (forall (@list @t409 @t63 @t20 @t422) (=> @t429 (=> (forall @t447 (=> @t446 (=> @t445 (=> @t444 (=> @t335 (=> (_ @t334 @t422) @t443)))))) @t435)))) % 0.84/1.05 (assume @p169 (forall (@list @t409 @t63 @t20 @t430) (=> @t429 (=> (forall @t447 (=> @t446 (=> @t445 (=> @t444 (=> @t335 (=> (_ (_ tptp.fresh_1641682979reeRes @t333) @t430) @t443)))))) @t435)))) % 0.84/1.05 (assume @p170 (forall (@list @t409 @t63 @t20 @t431) (=> @t429 (=> (forall @t447 (=> @t446 (=> @t445 (=> @t444 (=> @t335 (=> (_ (_ tptp.fresh_name_name @t333) @t431) @t443)))))) @t435)))) % 0.84/1.05 (assume @p171 (forall (@list @t409 @t63 @t20 @t432) (=> @t429 (=> (forall @t447 (=> @t446 (=> @t445 (=> @t444 (=> @t335 (=> (_ @t338 @t432) @t443)))))) @t435)))) % 0.84/1.05 (assume @p172 (forall (@list @t409 @t20 @t63 @t56) (=> (forall (@list @t438 @t449 @t448) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t454) @t451)) @t409)) (=> (forall (@list @t438 @t449 @t333) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t438) @t449)) @t409) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t440) (_ @t439 @t449))) @t409))) (=> (forall @t453 (=> (_ @t338 @t438) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t439 @t454)) (_ @t442 (_ @t439 @t450)))) @t409))) (=> (forall @t453 (=> (_ @t338 @t448) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par (_ @t439 @t452)) @t448)) (_ @t439 @t451))) @t409))) (_ (_ (_ tptp.strong743114133lation (_ (_ tptp.par @t70) @t56)) @t409) (_ @t69 (_ @t437 @t56))))))))) % 0.84/1.05 (assume @p173 (forall (@list @t32 @t20 @t7 @t219 @t23) (not (_ @t456 @t386)))) % 0.84/1.05 (assume @p174 (forall (@list @t32 @t7 @t219 @t20 @t23) (not (_ @t460 @t457)))) % 0.84/1.05 (assume @p175 (forall (@list @t32 @t7 @t219 @t20 @t248 @t18 @t23) (not (_ @t460 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t248)) @t18) @t23))))) % 0.84/1.05 (assume @p176 (forall (@list @t32 @t7 @t20 @t219 @t18 @t23) (not (_ (_ tptp.late_transitions (_ @t33 (_ (_ @t458 @t32) @t20))) (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t219) @t18)) @t23))))) % 0.84/1.05 (assume @p177 (forall @t462 (= (_ @t11 @t461) @t12))) % 0.84/1.05 (assume @p178 (forall @t463 (= (_ (_ (_ tptp.subs @t455) @t248) @t247) (_ tptp.tau @t249)))) % 0.84/1.05 (assume @p179 (forall @t468 (= (_ @t11 @t467) @t466))) % 0.84/1.05 (assume @p180 (forall @t469 (= (= @t461 (_ tptp.tau @t95)) @t96))) % 0.84/1.05 (assume @p181 (forall @t473 (= (= @t467 (_ (_ (_ tptp.output @t470) @t201) @t95)) @t472))) % 0.84/1.05 (assume @p182 (forall @t476 (not (= @t475 @t474)))) % 0.84/1.05 (assume @p183 (forall @t477 (not (= @t475 @t107)))) % 0.84/1.05 (assume @p184 (forall @t481 (not (= @t475 @t480)))) % 0.84/1.05 (assume @p185 (forall (@list @t122 @t106 @t105) (not (= @t482 @t107)))) % 0.84/1.05 (assume @p186 (forall @t483 (not (= @t482 @t480)))) % 0.84/1.05 (assume @p187 (forall (@list @t32 @t219 @t20 @t266) (not (_ (_ tptp.late_transitions (_ @t33 (_ (_ (_ tptp.output @t32) @t219) @t20))) @t266)))) % 0.84/1.05 (assume @p188 (forall (@list @t7 @t219 @t20 @t484 @t32 @t23) (not (_ @t485 (_ (_ (_ tptp.late_BoundR @t484) @t32) @t23))))) % 0.84/1.05 (assume @p189 (forall (@list @t20 @t66 @t32 @t23) (not (_ @t486 @t75)))) % 0.84/1.05 (assume @p190 (forall (@list @t32 @t20 @t66 @t18 @t23) (not (_ @t456 (_ (_ @t67 @t18) @t23))))) % 0.84/1.05 (assume @p191 (forall @t265 (_ @t485 (_ @t382 @t20)))) % 0.84/1.05 (assume @p192 (forall (@list @t7 @t219 @t20 @t248 @t247 @t23) (=> (_ @t485 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t248) @t247)) @t23)) (not (or @t262 (not (= @t219 @t247))))))) % 0.84/1.05 (assume @p193 (forall @t490 (=> (_ @t485 @t266) (not (forall (@list @t370 @t299 @t43) (=> @t489 (not (= @t266 (_ @t373 @t43))))))))) % 0.84/1.05 (assume @p194 (forall (@list @t7 @t219 @t20 @t17 @t23 @t491) (=> @t494 (=> (=> (= @t17 @t381) (=> @t493 (_ (_ @t491 @t381) @t20))) @t492)))) % 0.84/1.05 (assume @p195 (forall (@list @t7 @t219 @t20 @t23) (not (_ @t485 @t457)))) % 0.84/1.05 (assume @p196 (forall @t408 (not (_ @t486 @t386)))) % 0.84/1.05 (assume @p197 (forall (@list @t20) (_ @t486 (_ @t179 @t20)))) % 0.84/1.05 (assume @p198 (forall @t496 (=> (_ @t486 @t266) (not (forall @t495 (=> (= @t455 (_ tptp.tau @t43)) (not (= @t266 (_ @t179 @t43))))))))) % 0.84/1.05 (assume @p199 (forall (@list @t20 @t17 @t23 @t491) (=> (_ @t486 @t25) (=> (=> (= @t17 tptp.late_TauR) (=> @t493 (_ (_ @t491 tptp.late_TauR) @t20))) @t492)))) % 0.84/1.05 (assume @p200 (forall (@list @t7 @t219 @t20 @t17 @t23) (=> @t494 (not (or (_ @t8 @t17) (_ @t497 @t17)))))) % 0.84/1.05 (assume @p201 (forall (@list @t32 @t7 @t18 @t20 @t219 @t61 @t23) (not (_ @t500 (_ (_ @t498 @t61) @t23))))) % 0.84/1.05 (assume @p202 (forall (@list @t7 @t503 @t86 @t13) (= (_ @t257 @t504) (and (_ @t165 @t503) @t502)))) % 0.84/1.05 (assume @p203 (forall @t508 (= (_ (_ (_ tptp.subs @t459) @t248) @t247) (_ (_ (_ tptp.output @t507) @t505) @t249)))) % 0.84/1.05 (assume @p204 (forall (@list @t32 @t7 @t248 @t247 @t20) (=> @t185 (=> @t251 (=> @t250 (= (_ (_ @t510 @t248) @t247) (_ (_ (_ tptp.input @t507) @t32) @t249))))))) % 0.84/1.05 (assume @p205 (forall (@list @t32 @t219 @t248 @t7 @t20) (=> @t380 (=> @t251 (= (_ (_ @t510 @t219) @t248) (_ (_ (_ tptp.input (_ (_ @t506 @t219) @t248)) @t32) @t261)))))) % 0.84/1.05 (assume @p206 (forall (@list @t7 @t86 @t13) (= (_ @t11 @t511) @t502))) % 0.84/1.05 (assume @p207 (forall (@list @t7 @t464 @t86 @t13) (= (_ @t11 @t512) (and @t465 @t502)))) % 0.84/1.05 (assume @p208 (forall @t477 (not (= @t513 @t107)))) % 0.84/1.05 (assume @p209 (forall @t481 (not (= @t513 @t480)))) % 0.84/1.05 (assume @p210 (forall (@list @t86 @t13 @t85 @t97) (= (= @t511 (_ (_ tptp.res @t85) @t97)) @t514))) % 0.84/1.05 (assume @p211 (forall (@list @t464 @t86 @t13 @t470 @t85 @t97) (= (= @t512 (_ (_ (_ tptp.input @t470) @t85) @t97)) (and @t471 @t514)))) % 0.84/1.05 (assume @p212 (forall (@list @t7 @t32 @t18) (= (= @t516 (_ @t515 @t18)) @t181))) % 0.84/1.05 (assume @p213 (forall @t176 (= (= @t518 (_ @t517 @t169)) (= @t93 @t169)))) % 0.84/1.05 (assume @p214 (forall @t168 (= (= @t520 (_ @t519 @t164)) (= @t90 @t164)))) % 0.84/1.05 (assume @p215 (forall @t362 (= (= @t522 (_ @t521 @t173)) (= @t94 @t173)))) % 0.84/1.05 (assume @p216 (forall (@list @t219 @t7 @t90) (= (_ (_ tptp.fresh_728038529ubject @t219) @t520) (or @t523 (_ (_ tptp.fresh_717452603ubject @t219) @t90))))) % 0.84/1.05 (assume @p217 (forall (@list @t219 @t7 @t93) (= (_ (_ tptp.fresh_785364841reeRes @t219) @t518) (or @t523 (_ @t497 @t93))))) % 0.84/1.05 (assume @p218 (forall (@list @t219 @t7 @t32) (= (_ (_ tptp.fresh_1093033124n_name @t219) @t516) (or @t523 (_ (_ tptp.fresh_name_name @t219) @t32))))) % 0.84/1.05 (assume @p219 (forall (@list @t219 @t7 @t94) (= (_ (_ tptp.fresh_543891186ion_pi @t219) @t522) (or @t523 (_ @t255 @t94))))) % 0.84/1.05 (assume @p220 (forall (@list @t503 @t86 @t13 @t524 @t85 @t97) (= (= @t504 (_ (_ (_ tptp.late_BoundR @t524) @t85) @t97)) (and (= @t503 @t524) @t514)))) % 0.84/1.05 (assume @p221 (forall @t528 (not (= @t475 @t527)))) % 0.84/1.05 (assume @p222 (forall @t529 (not (= @t482 @t527)))) % 0.84/1.05 (assume @p223 (forall @t490 (=> (_ (_ tptp.late_transitions (_ (_ @t499 @t219) @t20)) @t266) (not (forall (@list @t333 @t370 @t43) (=> (and @t488 (= (_ (_ tptp.abs_fun_name_pi @t219) @t20) (_ (_ tptp.abs_fun_name_pi @t333) @t43))) (=> (= @t266 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t370)) @t333) @t43)) (= @t333 @t370)))))))) % 0.84/1.05 (assume @p224 (forall (@list @t32 @t18 @t20 @t266) (not (_ (_ tptp.late_transitions (_ @t33 (_ (_ (_ tptp.input @t32) @t18) @t20))) @t266)))) % 0.84/1.05 (assume @p225 (forall (@list @t7 @t32 @t20 @t17 @t23) (not (_ @t530 @t25)))) % 0.84/1.05 (assume @p226 (forall (@list @t32 @t7 @t18 @t20 @t17 @t23) (not (_ @t500 @t25)))) % 0.84/1.05 (assume @p227 @t533) % 0.84/1.05 (assume @p228 (forall (@list @t32 @t7 @t20) (=> @t185 @t532))) % 0.84/1.05 (assume @p229 (forall (@list @t7 @t32 @t20 @t219 @t18 @t23) (not (_ @t530 (_ (_ @t498 @t18) @t23))))) % 0.84/1.05 (assume @p230 @t538) % 0.84/1.05 (assume @p231 (forall @t542 (=> (forall @t541 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t337) @t540)) @t409)) (_ @t410 @t539)))) % 0.84/1.05 (assume @p232 (forall @t542 (=> (forall @t541 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t540) @t337)) @t409)) (_ (_ (_ tptp.strong743114133lation @t539) @t409) @t20)))) % 0.84/1.05 (assume @p233 (forall @t508 (= (_ (_ (_ tptp.subs @t544) @t248) @t247) (_ (_ (_ tptp.mismatch @t507) @t505) @t249)))) % 0.84/1.05 (assume @p234 (forall @t9 (_ @t11 tptp.piNil))) % 0.84/1.05 (assume @p235 (forall (@list @t248 @t247) (= (_ (_ (_ tptp.subs tptp.piNil) @t248) @t247) tptp.piNil))) % 0.84/1.05 (assume @p236 (forall @t468 (= (_ @t11 @t545) @t466))) % 0.84/1.05 (assume @p237 (forall @t546 (not (= tptp.piNil @t527)))) % 0.84/1.05 (assume @p238 (forall @t528 (not (= @t513 @t547)))) % 0.84/1.05 (assume @p239 (forall @t477 (not (= @t548 @t107)))) % 0.84/1.05 (assume @p240 (forall @t481 (not (= @t548 @t480)))) % 0.84/1.05 (assume @p241 (forall (@list @t106 @t105) (not (= tptp.piNil @t107)))) % 0.84/1.05 (assume @p242 (forall (@list @t479 @t478) (not (= tptp.piNil @t480)))) % 0.84/1.05 (assume @p243 (forall @t528 (not (= @t475 @t547)))) % 0.84/1.05 (assume @p244 (forall (@list @t20 @t409) (_ @t410 tptp.piNil))) % 0.84/1.05 (assume @p245 (forall @t546 (not (= tptp.piNil (_ (_ (_ tptp.output @t526) @t525) @t105))))) % 0.84/1.05 (assume @p246 (forall @t529 (not (= @t482 @t547)))) % 0.84/1.05 (assume @p247 (forall (@list @t105) (not (= tptp.piNil @t474)))) % 0.84/1.05 (assume @p248 (forall (@list @t409 @t7 @t20) (_ @t550 @t549))) % 0.84/1.05 (assume @p249 (forall @t473 (= (= @t545 (_ (_ (_ tptp.mismatch @t470) @t201) @t95)) @t472))) % 0.84/1.05 (assume @p250 (forall @t546 (not (= tptp.piNil @t547)))) % 0.84/1.05 (assume @p251 (forall (@list @t266) (not (_ (_ tptp.late_transitions tptp.piNil) @t266)))) % 0.84/1.05 (assume @p252 (forall @t555 (=> @t554 (=> (=> @t267 (=> @t264 @t553)) @t553)))) % 0.84/1.05 (assume @p253 (forall (@list @t7 @t20 @t266) (not (_ (_ tptp.late_transitions @t549) @t266)))) % 0.84/1.05 (assume @p254 (forall @t490 (=> @t554 (not (forall @t378 (=> @t489 (=> @t556 @t371))))))) % 0.84/1.05 (assume @p255 (forall (@list @t20 @t266 @t7 @t219) (=> @t267 (=> @t264 @t554)))) % 0.84/1.05 (assume @p256 (forall (@list @t32 @t266) (not (_ (_ tptp.late_transitions (_ @t33 tptp.piNil)) @t266)))) % 0.84/1.05 (assume @p257 (forall (@list @t409 @t7 @t32 @t20) (not (_ @t550 @t509)))) % 0.84/1.05 (assume @p258 (forall (@list @t409 @t7 @t219 @t20) (not (_ @t550 @t459)))) % 0.84/1.05 (assume @p259 (forall @t542 (not (_ @t550 @t455)))) % 0.84/1.05 (assume @p260 (forall @t508 (= (_ (_ (_ tptp.subs @t557) @t248) @t247) (_ (_ (_ tptp.match @t507) @t505) @t249)))) % 0.84/1.05 (assume @p261 (forall @t468 (= (_ @t11 @t558) @t466))) % 0.84/1.05 (assume @p262 (forall @t528 (not (= @t559 @t547)))) % 0.84/1.05 (assume @p263 (forall @t546 (not (= tptp.piNil @t560)))) % 0.84/1.05 (assume @p264 (forall (@list @t20 @t266 @t219) (=> @t267 (_ (_ tptp.late_transitions (_ (_ (_ tptp.match @t219) @t219) @t20)) @t266)))) % 0.84/1.05 (assume @p265 (forall @t490 (=> @t561 (not (forall @t495 (=> (and @t523 @t487) (not @t556))))))) % 0.84/1.05 (assume @p266 (forall @t490 (=> @t561 @t263))) % 0.84/1.05 (assume @p267 (forall @t555 (=> @t561 (=> (=> @t267 (=> @t263 (_ @t552 @t7))) @t553)))) % 0.84/1.05 (assume @p268 (forall @t473 (= (= @t558 (_ (_ (_ tptp.match @t470) @t201) @t95)) @t472))) % 0.84/1.05 (assume @p269 (forall @t529 (not (= @t482 @t560)))) % 0.84/1.05 (assume @p270 (forall @t528 (not (= @t475 @t560)))) % 0.84/1.05 (assume @p271 (forall @t481 (not (= @t559 @t480)))) % 0.84/1.05 (assume @p272 (forall @t477 (not (= @t559 @t107)))) % 0.84/1.05 (assume @p273 (forall @t528 (not (= @t513 @t560)))) % 0.84/1.05 (assume @p274 (forall (@list @t7 @t219 @t409 @t20) (=> @t264 (_ @t550 @t557)))) % 0.84/1.05 (assume @p275 (forall (@list @t562 @t138 @t122) (=> (forall (@list @t140) (_ @t564 tptp.piNil)) (=> (forall @t579 (=> @t568 (_ @t564 @t585))) (=> (forall @t569 (=> @t568 (_ @t564 @t584))) (=> (forall @t579 (=> (_ (_ tptp.fresh_717452603ubject @t402) @t140) (=> @t583 (=> @t568 (_ @t564 @t581))))) (=> (forall @t579 (=> @t568 (_ @t564 @t580))) (=> (forall @t579 (=> @t568 (_ @t564 @t578))) (=> (forall @t576 (=> @t575 (=> @t574 (_ @t564 @t577)))) (=> (forall @t576 (=> @t575 (=> @t574 (_ @t564 @t573)))) (=> (forall (@list @t118 @t115 @t140) (=> @t144 (=> @t568 (_ @t564 @t570)))) (=> (forall @t569 (=> @t568 (_ @t564 @t563))) (_ (_ @t562 @t138) @t122))))))))))))) % 0.84/1.05 (assume @p276 (forall (@list @t586 @t145 @t122) (=> (forall (@list @t147) (_ @t587 tptp.piNil)) (=> (forall @t596 (=> @t591 (_ @t587 @t585))) (=> (forall @t592 (=> @t591 (_ @t587 @t584))) (=> (forall @t596 (=> (_ (_ tptp.fresh_1641682979reeRes @t402) @t147) (=> @t583 (=> @t591 (_ @t587 @t581))))) (=> (forall @t596 (=> @t591 (_ @t587 @t580))) (=> (forall @t596 (=> @t591 (_ @t587 @t578))) (=> (forall @t595 (=> @t594 (=> @t593 (_ @t587 @t577)))) (=> (forall @t595 (=> @t594 (=> @t593 (_ @t587 @t573)))) (=> (forall (@list @t118 @t115 @t147) (=> @t149 (=> @t591 (_ @t587 @t570)))) (=> (forall @t592 (=> @t591 (_ @t587 @t563))) (_ (_ @t586 @t145) @t122))))))))))))) % 0.84/1.05 (assume @p277 (forall (@list @t597 @t61 @t122) (=> (forall (@list @t151) (_ @t598 tptp.piNil)) (=> (forall @t607 (=> @t602 (_ @t598 @t585))) (=> (forall @t603 (=> @t602 (_ @t598 @t584))) (=> (forall @t607 (=> (_ @t582 @t151) (=> @t583 (=> @t602 (_ @t598 @t581))))) (=> (forall @t607 (=> @t602 (_ @t598 @t580))) (=> (forall @t607 (=> @t602 (_ @t598 @t578))) (=> (forall @t606 (=> @t605 (=> @t604 (_ @t598 @t577)))) (=> (forall @t606 (=> @t605 (=> @t604 (_ @t598 @t573)))) (=> (forall (@list @t118 @t115 @t151) (=> @t153 (=> @t602 (_ @t598 @t570)))) (=> (forall @t603 (=> @t602 (_ @t598 @t563))) (_ (_ @t597 @t61) @t122))))))))))))) % 0.84/1.05 (assume @p278 (forall (@list @t608 @t154 @t122) (=> (forall (@list @t156) (_ @t609 tptp.piNil)) (=> (forall @t618 (=> @t613 (_ @t609 @t585))) (=> (forall @t614 (=> @t613 (_ @t609 @t584))) (=> (forall @t618 (=> (_ (_ tptp.fresh_name_pi @t402) @t156) (=> @t583 (=> @t613 (_ @t609 @t581))))) (=> (forall @t618 (=> @t613 (_ @t609 @t580))) (=> (forall @t618 (=> @t613 (_ @t609 @t578))) (=> (forall @t617 (=> @t616 (=> @t615 (_ @t609 @t577)))) (=> (forall @t617 (=> @t616 (=> @t615 (_ @t609 @t573)))) (=> (forall (@list @t118 @t115 @t156) (=> @t158 (=> @t613 (_ @t609 @t570)))) (=> (forall @t614 (=> @t613 (_ @t609 @t563))) (_ (_ @t608 @t154) @t122))))))))))))) % 0.84/1.05 (assume @p279 (forall @t462 (= (_ @t11 @t619) @t12))) % 0.84/1.05 (assume @p280 (forall @t16 (= (_ @t11 @t620) @t14))) % 0.84/1.05 (assume @p281 (forall @t463 (= (_ (_ (_ tptp.subs @t621) @t248) @t247) (_ tptp.bang @t249)))) % 0.84/1.05 (assume @p282 (forall @t253 (= (_ (_ (_ tptp.subs @t622) @t248) @t247) (_ (_ tptp.sum @t249) @t252)))) % 0.84/1.05 (assume @p283 (forall @t481 (not (= @t559 @t623)))) % 0.84/1.05 (assume @p284 (forall @t476 (not (= @t559 @t624)))) % 0.84/1.05 (assume @p285 (forall @t496 (=> @t626 (not (forall @t495 (=> (= @t621 @t625) (not (_ (_ tptp.late_transitions (_ @t344 @t625)) @t266)))))))) % 0.84/1.05 (assume @p286 (forall @t496 (=> (_ (_ tptp.late_transitions (_ @t69 @t621)) @t266) @t626))) % 0.84/1.05 (assume @p287 (forall @t481 (not (= @t513 @t623)))) % 0.84/1.05 (assume @p288 (forall @t476 (not (= @t513 @t624)))) % 0.84/1.05 (assume @p289 (forall (@list @t123 @t122 @t105) (not (= (_ (_ tptp.res @t123) @t122) @t624)))) % 0.84/1.05 (assume @p290 (forall @t627 (not (= @t110 @t624)))) % 0.84/1.05 (assume @p291 (forall (@list @t20 @t63 @t266) (=> @t629 (=> (not @t267) @t628)))) % 0.84/1.05 (assume @p292 (forall (@list @t20 @t266 @t63) (=> @t267 @t629))) % 0.84/1.05 (assume @p293 (forall (@list @t63 @t266 @t20) (=> @t628 @t629))) % 0.84/1.05 (assume @p294 (forall @t111 (not (= @t630 @t107)))) % 0.84/1.05 (assume @p295 (forall (@list @t109 @t108 @t479 @t478) (not (= @t630 @t480)))) % 0.84/1.05 (assume @p296 (forall @t469 (= (= @t619 (_ tptp.bang @t95)) @t96))) % 0.84/1.05 (assume @p297 (forall @t100 (= (= @t620 (_ (_ tptp.sum @t97) @t95)) @t99))) % 0.84/1.05 (assume @p298 (forall @t627 (not (= @t630 @t624)))) % 0.84/1.05 (assume @p299 (forall @t481 (not (= @t475 @t623)))) % 0.84/1.05 (assume @p300 (forall @t476 (not (= @t475 @t624)))) % 0.84/1.05 (assume @p301 (forall @t483 (not (= @t482 @t623)))) % 0.84/1.05 (assume @p302 (forall (@list @t631) (or (= @t631 true) (= @t631 false)))) % 0.84/1.05 (assume @p303 (forall @t632 (= (_ (_ (_ tptp.if_name false) @t32) @t18) @t18))) % 0.84/1.05 (assume @p304 (forall @t632 (= (_ (_ (_ tptp.if_name true) @t32) @t18) @t32))) % 0.84/1.05 (assume @p305 (not (not @t633))) % 0.84/1.05 (assume @p306 true) % 0.84/1.05 (step @p307 (= tptp.fresh_name_name @t637) :rule refl :args (@t637)) % 0.84/1.05 (step @p308 (= tptp.strong743114133lation @t651) :rule refl :args (@t651)) % 0.84/1.05 (step @p309 (= tptp.subst_name @t653) :rule refl :args (@t653)) % 0.84/1.05 (step @p310 :rule refl :args ((tptp.late_transitions @t509 @t531))) % 0.84/1.05 (step @p311 :rule refl :args ((tptp.late_BoundR @t187 @t32 @t20))) % 0.84/1.05 (step @p312 :rule refl :args (@t20)) % 0.84/1.05 (step @p313 :rule refl :args (@t32)) % 0.84/1.05 (step @p314 :rule refl :args (@t654)) % 0.84/1.05 (step @p315 :rule cong :premises (@p314 @p313 @p312) :args (@t655)) % 0.84/1.05 (step @p316 :rule trans :premises (@p315 @p311)) % 0.84/1.05 (step @p317 :rule refl :args (@t656)) % 0.84/1.05 (step @p318 :rule cong :premises (@p317 @p316) :args (@t657)) % 0.84/1.05 (step @p319 :rule trans :premises (@p318 @p310)) % 0.84/1.05 (step @p320 :rule refl :args (tptp.late_transitions)) % 0.84/1.05 (step @p321 :rule ho_cong :premises (@p320 @p317)) % 0.84/1.05 (step @p322 :rule ho_cong :premises (@p321 @p316)) % 0.84/1.05 (step @p323 :rule cong :premises (@p322 @p319) :args ((= (_ @t658 @t655) @t657))) % 0.84/1.05 (step @p324 :rule symm :premises (@p323)) % 0.84/1.05 (step @p325 :rule refl :args (@t532)) % 0.84/1.05 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 0.84/1.05 (step @p327 :rule refl :args (tptp.late_BoundR)) % 0.84/1.05 (step @p328 :rule ho_cong :premises (@p327 @p314)) % 0.84/1.05 (step @p329 :rule ho_cong :premises (@p328 @p313)) % 0.84/1.05 (step @p330 :rule ho_cong :premises (@p329 @p312)) % 0.84/1.05 (step @p331 :rule cong :premises (@p330 @p316) :args ((= (_ (_ (_ tptp.late_BoundR @t654) @t32) @t20) @t655))) % 0.84/1.05 (step @p332 :rule symm :premises (@p331)) % 0.84/1.05 (step @p333 :rule refl :args (@t531)) % 0.84/1.05 (step @p334 :rule eq_resolve :premises (@p333 @p332)) % 0.84/1.05 (step @p335 :rule refl :args (@t187)) % 0.84/1.05 (step @p336 :rule cong :premises (@p335 @p314) :args ((= @t187 @t654))) % 0.84/1.05 (step @p337 :rule symm :premises (@p336)) % 0.84/1.05 (step @p338 :rule eq_resolve :premises (@p335 @p337)) % 0.84/1.05 (step @p339 :rule ho_cong :premises (@p327 @p338)) % 0.84/1.05 (step @p340 :rule ho_cong :premises (@p339 @p313)) % 0.84/1.05 (step @p341 :rule ho_cong :premises (@p340 @p312)) % 0.84/1.05 (step @p342 :rule trans :premises (@p341 @p334)) % 0.84/1.05 (step @p343 :rule refl :args (@t509)) % 0.84/1.05 (step @p344 :rule cong :premises (@p343 @p317) :args ((= @t509 @t656))) % 0.84/1.05 (step @p345 :rule symm :premises (@p344)) % 0.84/1.05 (step @p346 :rule eq_resolve :premises (@p343 @p345)) % 0.84/1.05 (step @p347 :rule ho_cong :premises (@p320 @p346)) % 0.84/1.05 (step @p348 :rule ho_cong :premises (@p347 @p342)) % 0.84/1.05 (step @p349 :rule trans :premises (@p348 @p326)) % 0.84/1.05 (step @p350 :rule cong :premises (@p349) :args (@t533)) % 0.84/1.05 (step @p351 :rule eq_resolve :premises (@p227 @p350)) % 0.84/1.05 (step @p352 :rule instantiate :premises (@p351) :args ((@list tptp.x tptp.y tptp.p2))) % 0.84/1.05 (step @p353 :rule refl :args (@t659)) % 0.84/1.06 (step @p354 :rule refl :args (@t534)) % 0.84/1.06 (step @p355 :rule cong :premises (@p354 @p353) :args ((= @t534 @t659))) % 0.84/1.06 (step @p356 :rule symm :premises (@p355)) % 0.84/1.06 (step @p357 :rule eq_resolve :premises (@p354 @p356)) % 0.84/1.06 (step @p358 :rule cong :premises (@p357) :args (@t535)) % 0.84/1.06 (step @p359 :rule refl :args ((tptp.late_transitions @t509 @t345))) % 0.84/1.06 (step @p360 :rule refl :args (@t660)) % 0.84/1.06 (step @p361 :rule cong :premises (@p317 @p360) :args (@t661)) % 0.84/1.06 (step @p362 :rule trans :premises (@p361 @p359)) % 0.84/1.06 (step @p363 :rule ho_cong :premises (@p321 @p360)) % 0.84/1.06 (step @p364 :rule cong :premises (@p363 @p362) :args ((= (_ @t658 @t660) @t661))) % 0.84/1.06 (step @p365 :rule symm :premises (@p364)) % 0.84/1.06 (step @p366 :rule refl :args (@t536)) % 0.84/1.06 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.84/1.06 (step @p368 :rule refl :args (@t345)) % 0.84/1.06 (step @p369 :rule cong :premises (@p368 @p360) :args ((= @t345 @t660))) % 0.84/1.06 (step @p370 :rule symm :premises (@p369)) % 0.84/1.06 (step @p371 :rule eq_resolve :premises (@p368 @p370)) % 0.84/1.06 (step @p372 :rule ho_cong :premises (@p347 @p371)) % 0.84/1.06 (step @p373 :rule trans :premises (@p372 @p367)) % 0.84/1.06 (step @p374 :rule cong :premises (@p373) :args (@t662)) % 0.84/1.06 (step @p375 :rule nary_cong :premises (@p374 @p358) :args (@t663)) % 0.84/1.06 (step @p376 :rule cong :premises (@p375) :args ((forall @t537 @t663))) % 0.84/1.06 (step @p377 :rule bool-impl-elim :args (@t536 @t535)) % 0.84/1.06 (step @p378 :rule cong :premises (@p377) :args (@t538)) % 0.84/1.06 (step @p379 :rule trans :premises (@p378 @p376)) % 0.84/1.06 (step @p380 :rule eq_resolve :premises (@p230 @p379)) % 0.84/1.06 (step @p381 :rule instantiate :premises (@p380) :args ((@list tptp.x tptp.y tptp.p2 @t664 tptp.y tptp.p2))) % 0.84/1.06 (step @p382 :rule refl :args (@t665)) % 0.84/1.06 (step @p383 :rule refl :args (@t272)) % 0.84/1.06 (step @p384 :rule cong :premises (@p383 @p382) :args ((= @t272 @t665))) % 0.84/1.06 (step @p385 :rule symm :premises (@p384)) % 0.84/1.06 (step @p386 :rule eq_resolve :premises (@p383 @p385)) % 0.84/1.06 (step @p387 :rule refl :args (@t666)) % 0.84/1.06 (step @p388 :rule refl :args (@t22)) % 0.84/1.06 (step @p389 :rule cong :premises (@p388 @p387) :args ((= @t22 @t666))) % 0.84/1.06 (step @p390 :rule symm :premises (@p389)) % 0.84/1.06 (step @p391 :rule eq_resolve :premises (@p388 @p390)) % 0.84/1.06 (step @p392 :rule cong :premises (@p391) :args (@t667)) % 0.84/1.06 (step @p393 :rule refl :args ((tptp.late_transitions @t20 @t75))) % 0.84/1.06 (step @p394 :rule refl :args (@t668)) % 0.84/1.06 (step @p395 :rule cong :premises (@p312 @p394) :args (@t669)) % 0.84/1.06 (step @p396 :rule trans :premises (@p395 @p393)) % 0.84/1.06 (step @p397 :rule refl :args (@t26)) % 0.84/1.06 (step @p398 :rule ho_cong :premises (@p397 @p394)) % 0.84/1.06 (step @p399 :rule cong :premises (@p398 @p396) :args ((= (_ @t26 @t668) @t669))) % 0.84/1.06 (step @p400 :rule symm :premises (@p399)) % 0.84/1.06 (step @p401 :rule refl :args (@t76)) % 0.84/1.06 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 0.84/1.06 (step @p403 :rule refl :args (@t75)) % 0.84/1.06 (step @p404 :rule cong :premises (@p403 @p394) :args ((= @t75 @t668))) % 0.84/1.06 (step @p405 :rule symm :premises (@p404)) % 0.84/1.06 (step @p406 :rule eq_resolve :premises (@p403 @p405)) % 0.84/1.06 (step @p407 :rule ho_cong :premises (@p397 @p406)) % 0.84/1.06 (step @p408 :rule trans :premises (@p407 @p402)) % 0.84/1.06 (step @p409 :rule cong :premises (@p408) :args (@t670)) % 0.84/1.06 (step @p410 :rule nary_cong :premises (@p409 @p392 @p386) :args (@t671)) % 0.84/1.06 (step @p411 :rule cong :premises (@p410) :args ((forall @t130 @t671))) % 0.84/1.06 (step @p412 :rule aci_norm :args ((= (or @t670 (or @t667 @t272)) @t671))) % 0.84/1.06 (step @p413 :rule bool-impl-elim :args (@t22 @t272)) % 0.84/1.06 (step @p414 :rule refl :args (@t670)) % 0.84/1.06 (step @p415 :rule nary_cong :premises (@p414 @p413) :args ((or @t670 @t273))) % 0.84/1.06 (step @p416 :rule trans :premises (@p415 @p412)) % 0.84/1.06 (step @p417 :rule bool-impl-elim :args (@t76 @t273)) % 0.84/1.06 (step @p418 :rule trans :premises (@p417 @p416)) % 0.84/1.06 (step @p419 :rule cong :premises (@p418) :args (@t274)) % 0.84/1.06 (step @p420 :rule trans :premises (@p419 @p411)) % 0.84/1.06 (step @p421 :rule eq_resolve :premises (@p97 @p420)) % 0.84/1.06 (step @p422 :rule instantiate :premises (@p421) :args ((@list tptp.p @t664 tptp.y tptp.p2 tptp.x))) % 0.84/1.06 (step @p423 :rule refl :args ((tptp.late_transitions tptp.p @t673))) % 0.84/1.06 (step @p424 :rule refl :args ((tptp.late_BoundR @t672 tptp.y tptp.p2))) % 0.84/1.06 (step @p425 :rule refl :args (tptp.p2)) % 0.84/1.06 (step @p426 :rule refl :args (tptp.y)) % 0.84/1.06 (step @p427 :rule refl :args (@t664)) % 0.84/1.06 (step @p428 :rule cong :premises (@p427 @p426 @p425) :args (@t674)) % 0.84/1.06 (step @p429 :rule trans :premises (@p428 @p424)) % 0.84/1.06 (step @p430 :rule refl :args (tptp.p)) % 0.84/1.06 (step @p431 :rule cong :premises (@p430 @p429) :args (@t675)) % 0.84/1.06 (step @p432 :rule trans :premises (@p431 @p423)) % 0.84/1.06 (step @p433 :rule refl :args (@t4)) % 0.84/1.06 (step @p434 :rule ho_cong :premises (@p433 @p429)) % 0.84/1.06 (step @p435 :rule cong :premises (@p434 @p432) :args ((= (_ @t4 @t674) @t675))) % 0.84/1.06 (step @p436 :rule symm :premises (@p435)) % 0.84/1.06 (step @p437 :rule refl :args ((_ @t4 @t673))) % 0.84/1.06 (step @p438 :rule eq_resolve :premises (@p437 @p436)) % 0.84/1.06 (step @p439 :rule ho_cong :premises (@p327 @p427)) % 0.84/1.06 (step @p440 :rule ho_cong :premises (@p439 @p426)) % 0.84/1.06 (step @p441 :rule ho_cong :premises (@p440 @p425)) % 0.84/1.06 (step @p442 :rule cong :premises (@p441 @p429) :args ((= (_ (_ (_ tptp.late_BoundR @t664) tptp.y) tptp.p2) @t674))) % 0.84/1.06 (step @p443 :rule symm :premises (@p442)) % 0.84/1.06 (step @p444 :rule refl :args (@t673)) % 0.84/1.06 (step @p445 :rule eq_resolve :premises (@p444 @p443)) % 0.84/1.06 (step @p446 :rule refl :args (tptp.p2)) % 0.84/1.06 (step @p447 :rule refl :args (tptp.y)) % 0.84/1.06 (step @p448 :rule refl :args (@t672)) % 0.84/1.06 (step @p449 :rule cong :premises (@p448 @p427) :args ((= @t672 @t664))) % 0.84/1.06 (step @p450 :rule symm :premises (@p449)) % 0.84/1.06 (step @p451 :rule eq_resolve :premises (@p448 @p450)) % 0.84/1.06 (step @p452 :rule refl :args (tptp.late_BoundR)) % 0.84/1.06 (step @p453 :rule ho_cong :premises (@p452 @p451)) % 0.84/1.06 (step @p454 :rule ho_cong :premises (@p453 @p447)) % 0.84/1.06 (step @p455 :rule ho_cong :premises (@p454 @p446)) % 0.84/1.06 (step @p456 :rule trans :premises (@p455 @p445)) % 0.84/1.06 (step @p457 :rule refl :args (@t4)) % 0.84/1.06 (step @p458 :rule ho_cong :premises (@p457 @p456)) % 0.84/1.06 (step @p459 :rule trans :premises (@p458 @p438)) % 0.84/1.06 (step @p460 :rule eq-symm :args (tptp.x tptp.aa)) % 0.84/1.06 (step @p461 :rule bool-double-not-elim :args (@t633)) % 0.84/1.06 (step @p462 :rule trans :premises (@p461 @p460)) % 0.84/1.06 (step @p463 :rule eq_resolve :premises (@p305 @p462)) % 0.84/1.06 (step @p464 :rule refl :args (tptp.late_InputS)) % 0.84/1.06 (step @p465 :rule ho_cong :premises (@p464 @p463)) % 0.84/1.06 (step @p466 :rule ho_cong :premises (@p452 @p465)) % 0.84/1.06 (step @p467 :rule ho_cong :premises (@p466 @p447)) % 0.84/1.06 (step @p468 :rule ho_cong :premises (@p467 @p446)) % 0.84/1.06 (step @p469 :rule ho_cong :premises (@p457 @p468)) % 0.84/1.06 (step @p470 :rule trans :premises (@p469 @p459)) % 0.84/1.06 (step @p471 :rule eq_resolve :premises (@p9 @p470)) % 0.84/1.06 (step @p472 :rule refl :args (@t676)) % 0.84/1.06 (step @p473 :rule refl :args (@t2)) % 0.84/1.06 (step @p474 :rule cong :premises (@p473 @p472) :args ((= @t2 @t676))) % 0.84/1.06 (step @p475 :rule symm :premises (@p474)) % 0.84/1.06 (step @p476 :rule eq_resolve :premises (@p473 @p475)) % 0.84/1.06 (step @p477 :rule eq_resolve :premises (@p4 @p476)) % 0.84/1.06 (step @p478 :rule cnf_or_pos :args (@t680)) % 0.84/1.06 (step @p479 :rule reordering :premises (@p478) :args ((or @t678 @t679 @t677 (not @t680)))) % 0.84/1.06 (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p471 @p422) :args (@t677 @t681 (@list @t676 @t675 @t680))) % 0.84/1.06 (step @p481 :rule cnf_or_pos :args (@t685)) % 0.84/1.06 (step @p482 :rule reordering :premises (@p481) :args ((or @t684 @t682 (not @t685)))) % 0.84/1.06 (step @p483 false :rule chain_m_resolution :premises (@p482 @p480 @p381 @p352) :args (false @t681 (@list @t677 @t685 @t683))) % 0.84/1.06 ) % 0.84/1.06 % SZS output end Proof % 0.84/1.06 % cvc5 exiting %------------------------------------------------------------------------------