%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP187^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:19 AM UTC 2026 % Result : Theorem 0.51s 0.94s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP187^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 04:17:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.40/0.64 %----Proving TH0 % 0.51/0.94 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.94 % SZS status Theorem % 0.51/0.94 % SZS output start Proof % 0.51/0.94 ( % 0.51/0.94 (declare-sort tptp.late_subject 0) % 0.51/0.94 (declare-sort tptp.pi 0) % 0.51/0.94 (declare-sort tptp.set_Pr1834926343_pi_pi 0) % 0.51/0.94 (declare-sort tptp.name 0) % 0.51/0.94 (declare-sort tptp.noption_name 0) % 0.51/0.94 (declare-sort tptp.noption_Late_freeRes 0) % 0.51/0.94 (declare-sort tptp.noption_Late_subject 0) % 0.51/0.94 (declare-sort tptp.late_freeRes 0) % 0.51/0.94 (declare-sort tptp.noption_pi 0) % 0.51/0.94 (declare-sort tptp.late_residual 0) % 0.51/0.94 (declare-sort tptp.produc691362330ubject 0) % 0.51/0.94 (declare-sort tptp.produc405342261i_name 0) % 0.51/0.94 (declare-sort tptp.produc2008547984reeRes 0) % 0.51/0.94 (declare-sort tptp.produc1834551554reeRes 0) % 0.51/0.94 (declare-sort tptp.produc1462499409ion_pi 0) % 0.51/0.94 (declare-sort tptp.produc629157763_pi_pi 0) % 0.51/0.94 (declare-sort tptp.produc214645451ubject 0) % 0.51/0.94 (declare-sort tptp.product_prod_pi_pi 0) % 0.51/0.94 (declare-sort tptp.produc1359399907ubject 0) % 0.51/0.94 (declare-sort tptp.produc865358760ubject 0) % 0.51/0.94 (declare-sort tptp.produc1998742700t_name 0) % 0.51/0.94 (declare-sort tptp.produc355105483reeRes 0) % 0.51/0.94 (declare-sort tptp.produc140253050ect_pi 0) % 0.51/0.94 (declare-sort tptp.produc2052722628s_name 0) % 0.51/0.94 (declare-sort tptp.produc1357834675reeRes 0) % 0.51/0.94 (declare-sort tptp.produc992857746Res_pi 0) % 0.51/0.94 (declare-const tptp.if_name (-> Bool tptp.name tptp.name tptp.name)) % 0.51/0.94 (declare-const tptp.product_Pair_pi_pi (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) % 0.51/0.94 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) % 0.51/0.94 (declare-const tptp.member558706512_pi_pi (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) % 0.51/0.94 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) % 0.51/0.94 (declare-const tptp.strong2129052853vative (-> tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi Bool)) % 0.51/0.94 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) % 0.51/0.94 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) % 0.51/0.94 (declare-const tptp.bang (-> tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.mismatch (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.match (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.piNil tptp.pi) % 0.51/0.94 (declare-const tptp.eqvt_pi (-> tptp.set_Pr1834926343_pi_pi Bool)) % 0.51/0.94 (declare-const tptp.fresh_1093033124n_name (-> tptp.name (-> tptp.name tptp.noption_name) Bool)) % 0.51/0.94 (declare-const tptp.fresh_785364841reeRes (-> tptp.name (-> tptp.name tptp.noption_Late_freeRes) Bool)) % 0.51/0.94 (declare-const tptp.fresh_728038529ubject (-> tptp.name (-> tptp.name tptp.noption_Late_subject) Bool)) % 0.51/0.94 (declare-const tptp.abs_fu1904601852ubject (-> tptp.name tptp.late_subject tptp.name tptp.noption_Late_subject)) % 0.51/0.94 (declare-const tptp.abs_fu681348580reeRes (-> tptp.name tptp.late_freeRes tptp.name tptp.noption_Late_freeRes)) % 0.51/0.94 (declare-const tptp.abs_fun_name_name (-> tptp.name tptp.name tptp.name tptp.noption_name)) % 0.51/0.94 (declare-const tptp.abs_fun_name_pi (-> tptp.name tptp.pi tptp.name tptp.noption_pi)) % 0.51/0.94 (declare-const tptp.produc242091907reeRes (-> tptp.late_subject tptp.late_freeRes tptp.produc355105483reeRes)) % 0.51/0.94 (declare-const tptp.fresh_495373993ubject (-> tptp.name tptp.produc1359399907ubject Bool)) % 0.51/0.94 (declare-const tptp.produc1465345179ubject (-> tptp.late_subject tptp.late_subject tptp.produc1359399907ubject)) % 0.51/0.94 (declare-const tptp.qr tptp.pi) % 0.51/0.94 (declare-const tptp.produc1820286517_pi_pi (-> (-> tptp.name tptp.noption_pi) tptp.pi tptp.produc629157763_pi_pi)) % 0.51/0.94 (declare-const tptp.produc540578151i_name (-> (-> tptp.name tptp.noption_pi) tptp.name tptp.produc405342261i_name)) % 0.51/0.94 (declare-const tptp.fresh_567880928ubject (-> tptp.name tptp.produc691362330ubject Bool)) % 0.51/0.94 (declare-const tptp.produc1505598906reeRes (-> (-> tptp.name tptp.noption_pi) tptp.late_freeRes tptp.produc1834551554reeRes)) % 0.51/0.94 (declare-const tptp.produc581368530ubject (-> (-> tptp.name tptp.noption_pi) tptp.late_subject tptp.produc691362330ubject)) % 0.51/0.94 (declare-const tptp.p tptp.pi) % 0.51/0.94 (declare-const tptp.fresh_2007541374s_name (-> tptp.name tptp.produc2052722628s_name Bool)) % 0.51/0.94 (declare-const tptp.late_TauR tptp.late_freeRes) % 0.51/0.94 (declare-const tptp.fresh_1847501388Res_pi (-> tptp.name tptp.produc992857746Res_pi Bool)) % 0.51/0.94 (declare-const tptp.sum (-> tptp.pi tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.p2 tptp.pi) % 0.51/0.94 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) % 0.51/0.94 (declare-const tptp.x tptp.name) % 0.51/0.94 (declare-const tptp.alpha tptp.late_freeRes) % 0.51/0.94 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) % 0.51/0.94 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) % 0.51/0.94 (declare-const tptp.y tptp.name) % 0.51/0.94 (declare-const tptp.fresh_994896692ect_pi (-> tptp.name tptp.produc140253050ect_pi Bool)) % 0.51/0.94 (declare-const tptp.a tptp.name) % 0.51/0.94 (declare-const tptp.fresh_1953561446t_name (-> tptp.name tptp.produc1998742700t_name Bool)) % 0.51/0.94 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) % 0.51/0.94 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) % 0.51/0.94 (declare-const tptp.rel tptp.set_Pr1834926343_pi_pi) % 0.51/0.94 (declare-const tptp.fresh_1498103185ubject (-> tptp.name tptp.produc214645451ubject Bool)) % 0.51/0.94 (declare-const tptp.produc1342893193ion_pi (-> (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.produc1462499409ion_pi)) % 0.51/0.94 (declare-const tptp.par (-> tptp.pi tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.fresh_253309757_pi_pi (-> tptp.name tptp.produc629157763_pi_pi Bool)) % 0.51/0.94 (declare-const tptp.pqr tptp.pi) % 0.51/0.94 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.r tptp.pi) % 0.51/0.94 (declare-const tptp.subs (-> tptp.pi tptp.name tptp.name tptp.pi)) % 0.51/0.94 (declare-const tptp.q2 tptp.pi) % 0.51/0.94 (declare-const tptp.fresh_493808761reeRes (-> tptp.name tptp.produc1357834675reeRes Bool)) % 0.51/0.94 (declare-const tptp.fresh_1638563217reeRes (-> tptp.name tptp.produc355105483reeRes Bool)) % 0.51/0.94 (declare-const tptp.produc1647375838t_name (-> tptp.late_subject tptp.name tptp.produc1998742700t_name)) % 0.51/0.94 (declare-const tptp.produc324947500ect_pi (-> tptp.late_subject tptp.pi tptp.produc140253050ect_pi)) % 0.51/0.94 (declare-const tptp.collec1051790738_pi_pi (-> (-> tptp.product_prod_pi_pi Bool) tptp.set_Pr1834926343_pi_pi)) % 0.51/0.94 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.produc320590723ubject (-> tptp.late_freeRes tptp.late_subject tptp.produc214645451ubject)) % 0.51/0.94 (declare-const tptp.produc1244821099reeRes (-> tptp.late_freeRes tptp.late_freeRes tptp.produc1357834675reeRes)) % 0.51/0.94 (declare-const tptp.produc1701355766s_name (-> tptp.late_freeRes tptp.name tptp.produc2052722628s_name)) % 0.51/0.94 (declare-const tptp.produc1177552196Res_pi (-> tptp.late_freeRes tptp.pi tptp.produc992857746Res_pi)) % 0.51/0.94 (declare-const tptp.produc607574050ubject (-> tptp.name tptp.late_subject tptp.produc865358760ubject)) % 0.51/0.94 (declare-const tptp.fresh_820177506ubject (-> tptp.name tptp.produc865358760ubject Bool)) % 0.51/0.94 (declare-const tptp.produc1531804426reeRes (-> tptp.name tptp.late_freeRes tptp.produc2008547984reeRes)) % 0.51/0.94 (declare-const tptp.fresh_1963366730reeRes (-> tptp.name tptp.produc2008547984reeRes Bool)) % 0.51/0.94 (declare-const tptp.fresh_1711070152reeRes (-> tptp.name tptp.produc1834551554reeRes Bool)) % 0.51/0.94 (declare-const tptp.fresh_453496559i_name (-> tptp.name tptp.produc405342261i_name Bool)) % 0.51/0.94 (declare-const tptp.output (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.51/0.94 (declare-const tptp.fresh_543891186ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) Bool)) % 0.51/0.94 (declare-const tptp.fresh_225680151ion_pi (-> tptp.name tptp.produc1462499409ion_pi Bool)) % 0.51/0.94 (declare-const tptp.fresh_1627595501_pi_pi (-> tptp.name tptp.product_prod_pi_pi Bool)) % 0.51/0.94 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) % 0.51/0.94 (declare-const tptp.q tptp.pi) % 0.51/0.94 (declare-const tptp.tau (-> tptp.pi tptp.pi)) % 0.51/0.94 (define tptp.fresh_name_name () (let ((_let_1 (@var "B4" tptp.name))) (let ((_let_2 (@var "A5" tptp.name))) (lambda (@list _let_2 _let_1) (not (= _let_2 _let_1)))))) % 0.51/0.94 (define tptp.subst_name () (let ((_let_1 (@var "A5" tptp.name))) (let ((_let_2 (@var "C3" tptp.name))) (let ((_let_3 (@var "B4" tptp.name))) (lambda (@list _let_1 _let_3 _let_2) (_ (_ (_ tptp.if_name (= _let_1 _let_3)) _let_2) _let_1)))))) % 0.51/0.94 (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 "A5" tptp.late_subject))) (let ((_let_13 (_ (_ tptp.late_BoundR _let_12) _let_11))) (lambda (@list _let_6 _let_1 _let_9) (and (forall (@list _let_12 _let_11 _let_2) (=> (and (_ _let_10 (_ _let_13 _let_2)) (_ (_ tptp.fresh_name_pi _let_11) _let_6)) (exists _let_8 (and (_ _let_7 (_ _let_13 _let_3)) (_ (_ (_ (_ (_ tptp.strong2129052853vative _let_3) _let_2) _let_12) _let_11) _let_1))))) (forall (@list _let_4 _let_2) (=> (_ _let_10 (_ _let_5 _let_2)) (exists _let_8 (and (_ _let_7 (_ _let_5 _let_3)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi _let_3) _let_2)) _let_1))))))))))))))))))))) % 0.51/0.94 (define @t1 () (@var "U" tptp.pi)) % 0.51/0.94 (define @t2 () (@var "T" tptp.pi)) % 0.51/0.94 (define @t3 () (_ (_ tptp.par @t2) @t1)) % 0.51/0.94 (define @t4 () (@var "S" tptp.pi)) % 0.51/0.94 (define @t5 () (_ tptp.par @t4)) % 0.51/0.94 (define @t6 () (_ @t5 @t3)) % 0.51/0.94 (define @t7 () (_ @t5 @t2)) % 0.51/0.94 (define @t8 () (_ (_ tptp.par @t7) @t1)) % 0.51/0.94 (define @t9 () (@var "X" tptp.name)) % 0.51/0.94 (define @t10 () (_ tptp.res @t9)) % 0.51/0.94 (define @t11 () (_ (_ tptp.par tptp.q2) tptp.r)) % 0.51/0.94 (define @t12 () (_ (_ (_ tptp.subs @t11) tptp.x) tptp.y)) % 0.51/0.94 (define @t13 () (_ tptp.par tptp.p2)) % 0.51/0.94 (define @t14 () (_ @t13 @t12)) % 0.51/0.94 (define @t15 () (_ tptp.res tptp.y)) % 0.51/0.94 (define @t16 () (_ @t15 @t14)) % 0.51/0.94 (define @t17 () (_ (_ (_ tptp.subs tptp.q2) tptp.x) tptp.y)) % 0.51/0.94 (define @t18 () (_ @t13 @t17)) % 0.51/0.94 (define @t19 () (_ @t15 @t18)) % 0.51/0.94 (define @t20 () (_ (_ tptp.par @t19) tptp.r)) % 0.51/0.94 (define @t21 () (_ tptp.product_Pair_pi_pi @t20)) % 0.51/0.94 (define @t22 () (_ @t21 @t16)) % 0.51/0.94 (define @t23 () (_ (_ tptp.member558706512_pi_pi @t22) tptp.rel)) % 0.51/0.94 (define @t24 () (_ tptp.late_FreeR tptp.late_TauR)) % 0.51/0.94 (define @t25 () (_ tptp.par tptp.p)) % 0.51/0.94 (define @t26 () (_ @t25 tptp.q)) % 0.51/0.94 (define @t27 () (_ (_ tptp.par @t26) tptp.r)) % 0.51/0.94 (define @t28 () (_ tptp.late_transitions @t27)) % 0.51/0.94 (define @t29 () (_ tptp.late_FreeR tptp.alpha)) % 0.51/0.94 (define @t30 () (_ (_ tptp.par tptp.q) tptp.r)) % 0.51/0.94 (define @t31 () (_ tptp.fresh_name_pi tptp.y)) % 0.51/0.94 (define @t32 () (_ tptp.fresh_name_pi tptp.x)) % 0.51/0.94 (define @t33 () (@var "D" tptp.name)) % 0.51/0.94 (define @t34 () (@var "C" tptp.name)) % 0.51/0.94 (define @t35 () (@var "P" tptp.pi)) % 0.51/0.94 (define @t36 () (_ tptp.subs @t35)) % 0.51/0.94 (define @t37 () (_ (_ @t36 @t34) @t33)) % 0.51/0.94 (define @t38 () (_ @t10 @t35)) % 0.51/0.94 (define @t39 () (not (= @t9 @t33))) % 0.51/0.94 (define @t40 () (not (= @t9 @t34))) % 0.51/0.94 (define @t41 () (@var "Q" tptp.pi)) % 0.51/0.94 (define @t42 () (_ (_ (_ tptp.subs @t41) @t34) @t33)) % 0.51/0.94 (define @t43 () (_ tptp.par @t35)) % 0.51/0.94 (define @t44 () (_ @t43 @t41)) % 0.51/0.94 (define @t45 () (@list @t35 @t41 @t34 @t33)) % 0.51/0.94 (define @t46 () (_ tptp.fresh_name_pi @t9)) % 0.51/0.94 (define @t47 () (@var "P2" tptp.pi)) % 0.51/0.94 (define @t48 () (_ tptp.par @t47)) % 0.51/0.94 (define @t49 () (_ @t48 @t41)) % 0.51/0.94 (define @t50 () (@var "Alpha" tptp.late_freeRes)) % 0.51/0.94 (define @t51 () (_ tptp.late_FreeR @t50)) % 0.51/0.94 (define @t52 () (_ tptp.late_transitions @t44)) % 0.51/0.94 (define @t53 () (_ @t51 @t47)) % 0.51/0.94 (define @t54 () (_ tptp.late_transitions @t35)) % 0.51/0.94 (define @t55 () (_ @t54 @t53)) % 0.51/0.94 (define @t56 () (@var "Q2" tptp.pi)) % 0.51/0.94 (define @t57 () (_ @t43 @t56)) % 0.51/0.94 (define @t58 () (_ tptp.late_transitions @t41)) % 0.51/0.94 (define @t59 () (_ @t58 (_ @t51 @t56))) % 0.51/0.94 (define @t60 () (@var "A" tptp.name)) % 0.51/0.94 (define @t61 () (_ @t36 @t60)) % 0.51/0.94 (define @t62 () (@var "Y2" tptp.late_subject)) % 0.51/0.94 (define @t63 () (@var "X2" tptp.late_subject)) % 0.51/0.94 (define @t64 () (@var "Y1" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t65 () (@var "X1" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t66 () (= @t65 @t64)) % 0.51/0.94 (define @t67 () (@var "Y2" tptp.late_freeRes)) % 0.51/0.94 (define @t68 () (@var "X2" tptp.late_freeRes)) % 0.51/0.94 (define @t69 () (= @t68 @t67)) % 0.51/0.94 (define @t70 () (@var "Y2" tptp.name)) % 0.51/0.94 (define @t71 () (@var "X2" tptp.name)) % 0.51/0.94 (define @t72 () (= @t71 @t70)) % 0.51/0.94 (define @t73 () (@var "Y2" tptp.pi)) % 0.51/0.94 (define @t74 () (@var "X2" tptp.pi)) % 0.51/0.94 (define @t75 () (= @t74 @t73)) % 0.51/0.94 (define @t76 () (@var "Y2" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t77 () (@var "X2" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t78 () (@var "Y1" tptp.pi)) % 0.51/0.94 (define @t79 () (@var "X1" tptp.pi)) % 0.51/0.94 (define @t80 () (= @t79 @t78)) % 0.51/0.94 (define @t81 () (@var "B2" tptp.late_subject)) % 0.51/0.94 (define @t82 () (@var "B" tptp.late_subject)) % 0.51/0.94 (define @t83 () (= @t82 @t81)) % 0.51/0.94 (define @t84 () (@var "A2" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t85 () (@var "A" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t86 () (= @t85 @t84)) % 0.51/0.94 (define @t87 () (= (_ (_ tptp.produc581368530ubject @t85) @t82) (_ (_ tptp.produc581368530ubject @t84) @t81))) % 0.51/0.94 (define @t88 () (@list @t85 @t82 @t84 @t81)) % 0.51/0.94 (define @t89 () (@var "B2" tptp.late_freeRes)) % 0.51/0.94 (define @t90 () (@var "B" tptp.late_freeRes)) % 0.51/0.94 (define @t91 () (= @t90 @t89)) % 0.51/0.94 (define @t92 () (= (_ (_ tptp.produc1505598906reeRes @t85) @t90) (_ (_ tptp.produc1505598906reeRes @t84) @t89))) % 0.51/0.94 (define @t93 () (@list @t85 @t90 @t84 @t89)) % 0.51/0.94 (define @t94 () (@var "B2" tptp.name)) % 0.51/0.94 (define @t95 () (@var "B" tptp.name)) % 0.51/0.94 (define @t96 () (= @t95 @t94)) % 0.51/0.94 (define @t97 () (= (_ (_ tptp.produc540578151i_name @t85) @t95) (_ (_ tptp.produc540578151i_name @t84) @t94))) % 0.51/0.94 (define @t98 () (@list @t85 @t95 @t84 @t94)) % 0.51/0.94 (define @t99 () (@var "B2" tptp.pi)) % 0.51/0.94 (define @t100 () (@var "B" tptp.pi)) % 0.51/0.94 (define @t101 () (= @t100 @t99)) % 0.51/0.94 (define @t102 () (= (_ (_ tptp.produc1820286517_pi_pi @t85) @t100) (_ (_ tptp.produc1820286517_pi_pi @t84) @t99))) % 0.51/0.94 (define @t103 () (@list @t85 @t100 @t84 @t99)) % 0.51/0.94 (define @t104 () (@var "B2" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t105 () (@var "B" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t106 () (= @t105 @t104)) % 0.51/0.94 (define @t107 () (= (_ (_ tptp.produc1342893193ion_pi @t85) @t105) (_ (_ tptp.produc1342893193ion_pi @t84) @t104))) % 0.51/0.94 (define @t108 () (@list @t85 @t105 @t84 @t104)) % 0.51/0.94 (define @t109 () (@var "A2" tptp.pi)) % 0.51/0.94 (define @t110 () (@var "A" tptp.pi)) % 0.51/0.94 (define @t111 () (= @t110 @t109)) % 0.51/0.94 (define @t112 () (= (_ (_ tptp.product_Pair_pi_pi @t110) @t100) (_ (_ tptp.product_Pair_pi_pi @t109) @t99))) % 0.51/0.94 (define @t113 () (@list @t110 @t100 @t109 @t99)) % 0.51/0.94 (define @t114 () (_ tptp.fresh_name_pi @t60)) % 0.51/0.94 (define @t115 () (_ @t114 @t79)) % 0.51/0.94 (define @t116 () (and (_ @t114 @t74) @t115)) % 0.51/0.94 (define @t117 () (_ (_ tptp.par @t74) @t79)) % 0.51/0.94 (define @t118 () (@list @t60 @t74 @t79)) % 0.51/0.94 (define @t119 () (_ @t61 @t95)) % 0.51/0.94 (define @t120 () (_ tptp.fresh_name_pi @t95)) % 0.51/0.94 (define @t121 () (_ @t120 @t35)) % 0.51/0.94 (define @t122 () (@var "X" tptp.late_subject)) % 0.51/0.94 (define @t123 () (@var "C2" tptp.name)) % 0.51/0.94 (define @t124 () (@list @t123)) % 0.51/0.94 (define @t125 () (@var "X" tptp.late_freeRes)) % 0.51/0.94 (define @t126 () (@var "X" tptp.pi)) % 0.51/0.94 (define @t127 () (_ (_ tptp.res @t60) @t35)) % 0.51/0.94 (define @t128 () (= @t60 @t95)) % 0.51/0.94 (define @t129 () (not @t128)) % 0.51/0.94 (define @t130 () (@list @t60 @t95 @t35)) % 0.51/0.94 (define @t131 () (_ (_ @t36 @t95) @t34)) % 0.51/0.94 (define @t132 () (not (= @t60 @t34))) % 0.51/0.94 (define @t133 () (_ @t114 @t35)) % 0.51/0.94 (define @t134 () (@var "Y" tptp.name)) % 0.51/0.94 (define @t135 () (_ tptp.fresh_name_pi @t134)) % 0.51/0.94 (define @t136 () (_ @t135 @t47)) % 0.51/0.94 (define @t137 () (_ @t135 @t35)) % 0.51/0.94 (define @t138 () (@list @t35 @t50 @t47 @t134)) % 0.51/0.94 (define @t139 () (_ tptp.res @t95)) % 0.51/0.94 (define @t140 () (_ @t139 @t119)) % 0.51/0.94 (define @t141 () (@list @t95 @t35 @t60)) % 0.51/0.94 (define @t142 () (@var "Prod" tptp.produc691362330ubject)) % 0.51/0.94 (define @t143 () (@var "P" (-> tptp.produc691362330ubject Bool))) % 0.51/0.94 (define @t144 () (@var "B3" tptp.late_subject)) % 0.51/0.94 (define @t145 () (@var "A3" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t146 () (_ (_ tptp.produc581368530ubject @t145) @t144)) % 0.51/0.94 (define @t147 () (@list @t145 @t144)) % 0.51/0.94 (define @t148 () (forall @t147 (_ @t143 @t146))) % 0.51/0.94 (define @t149 () (@var "Prod" tptp.produc1834551554reeRes)) % 0.51/0.94 (define @t150 () (@var "P" (-> tptp.produc1834551554reeRes Bool))) % 0.51/0.94 (define @t151 () (@var "B3" tptp.late_freeRes)) % 0.51/0.94 (define @t152 () (_ (_ tptp.produc1505598906reeRes @t145) @t151)) % 0.51/0.94 (define @t153 () (@list @t145 @t151)) % 0.51/0.94 (define @t154 () (forall @t153 (_ @t150 @t152))) % 0.51/0.94 (define @t155 () (@var "Prod" tptp.produc405342261i_name)) % 0.51/0.94 (define @t156 () (@var "P" (-> tptp.produc405342261i_name Bool))) % 0.51/0.94 (define @t157 () (@var "B3" tptp.name)) % 0.51/0.94 (define @t158 () (_ (_ tptp.produc540578151i_name @t145) @t157)) % 0.51/0.94 (define @t159 () (@list @t145 @t157)) % 0.51/0.94 (define @t160 () (forall @t159 (_ @t156 @t158))) % 0.51/0.94 (define @t161 () (@var "Prod" tptp.produc629157763_pi_pi)) % 0.51/0.94 (define @t162 () (@var "P" (-> tptp.produc629157763_pi_pi Bool))) % 0.51/0.94 (define @t163 () (@var "B3" tptp.pi)) % 0.51/0.94 (define @t164 () (_ (_ tptp.produc1820286517_pi_pi @t145) @t163)) % 0.51/0.94 (define @t165 () (@list @t145 @t163)) % 0.51/0.94 (define @t166 () (forall @t165 (_ @t162 @t164))) % 0.51/0.94 (define @t167 () (@var "Prod" tptp.produc1462499409ion_pi)) % 0.51/0.94 (define @t168 () (@var "P" (-> tptp.produc1462499409ion_pi Bool))) % 0.51/0.94 (define @t169 () (@var "B3" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t170 () (_ (_ tptp.produc1342893193ion_pi @t145) @t169)) % 0.51/0.94 (define @t171 () (@list @t145 @t169)) % 0.51/0.94 (define @t172 () (forall @t171 (_ @t168 @t170))) % 0.51/0.94 (define @t173 () (@var "Prod" tptp.product_prod_pi_pi)) % 0.51/0.94 (define @t174 () (@var "P" (-> tptp.product_prod_pi_pi Bool))) % 0.51/0.94 (define @t175 () (@var "A3" tptp.pi)) % 0.51/0.94 (define @t176 () (_ (_ tptp.product_Pair_pi_pi @t175) @t163)) % 0.51/0.94 (define @t177 () (@list @t175 @t163)) % 0.51/0.94 (define @t178 () (forall @t177 (_ @t174 @t176))) % 0.51/0.94 (define @t179 () (@var "Y" tptp.produc691362330ubject)) % 0.51/0.94 (define @t180 () (@var "Y" tptp.produc1834551554reeRes)) % 0.51/0.94 (define @t181 () (@var "Y" tptp.produc405342261i_name)) % 0.51/0.94 (define @t182 () (@var "Y" tptp.produc629157763_pi_pi)) % 0.51/0.94 (define @t183 () (@var "Y" tptp.produc1462499409ion_pi)) % 0.51/0.94 (define @t184 () (@var "Y" tptp.product_prod_pi_pi)) % 0.51/0.94 (define @t185 () (@var "A" tptp.product_prod_pi_pi)) % 0.51/0.94 (define @t186 () (_ tptp.collec1051790738_pi_pi @t174)) % 0.51/0.94 (define @t187 () (@var "A4" tptp.set_Pr1834926343_pi_pi)) % 0.51/0.94 (define @t188 () (@var "X3" tptp.product_prod_pi_pi)) % 0.51/0.94 (define @t189 () (@var "Q" (-> tptp.product_prod_pi_pi Bool))) % 0.51/0.94 (define @t190 () (@var "X4" tptp.product_prod_pi_pi)) % 0.51/0.94 (define @t191 () (not @t101)) % 0.51/0.94 (define @t192 () (@var "P3" tptp.produc691362330ubject)) % 0.51/0.94 (define @t193 () (@var "P3" tptp.produc1834551554reeRes)) % 0.51/0.94 (define @t194 () (@var "P3" tptp.produc405342261i_name)) % 0.51/0.94 (define @t195 () (@var "P3" tptp.produc629157763_pi_pi)) % 0.51/0.94 (define @t196 () (@var "P3" tptp.produc1462499409ion_pi)) % 0.51/0.94 (define @t197 () (@var "P3" tptp.product_prod_pi_pi)) % 0.51/0.94 (define @t198 () (@var "Y3" tptp.late_subject)) % 0.51/0.94 (define @t199 () (@var "X4" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t200 () (@var "Y3" tptp.late_freeRes)) % 0.51/0.94 (define @t201 () (@var "Y3" tptp.name)) % 0.51/0.94 (define @t202 () (@var "Y3" tptp.pi)) % 0.51/0.94 (define @t203 () (@var "Y3" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t204 () (@var "X4" tptp.pi)) % 0.51/0.94 (define @t205 () (and @t75 @t80)) % 0.51/0.94 (define @t206 () (@list @t74 @t79 @t73 @t78)) % 0.51/0.94 (define @t207 () (_ (_ tptp.late_FreeR @t68) @t79)) % 0.51/0.94 (define @t208 () (@var "Pi" tptp.pi)) % 0.51/0.94 (define @t209 () (@var "Name" tptp.name)) % 0.51/0.94 (define @t210 () (_ (_ tptp.res @t209) @t208)) % 0.51/0.94 (define @t211 () (@var "Pi2" tptp.pi)) % 0.51/0.94 (define @t212 () (@var "Pi1" tptp.pi)) % 0.51/0.94 (define @t213 () (@list @t212 @t211 @t209 @t208)) % 0.51/0.94 (define @t214 () (_ (_ tptp.late_BoundR (_ tptp.late_InputS tptp.a)) tptp.x)) % 0.51/0.94 (define @t215 () (@var "Y" tptp.late_subject)) % 0.51/0.94 (define @t216 () (_ tptp.fresh_717452603ubject @t60)) % 0.51/0.94 (define @t217 () (_ @t216 @t215)) % 0.51/0.94 (define @t218 () (_ @t216 @t122)) % 0.51/0.94 (define @t219 () (@list @t60 @t122 @t215)) % 0.51/0.94 (define @t220 () (@var "Y" tptp.late_freeRes)) % 0.51/0.94 (define @t221 () (_ tptp.fresh_1641682979reeRes @t60)) % 0.51/0.94 (define @t222 () (_ @t221 @t220)) % 0.51/0.94 (define @t223 () (_ tptp.fresh_name_name @t60)) % 0.51/0.94 (define @t224 () (_ @t223 @t134)) % 0.51/0.94 (define @t225 () (@var "Y" tptp.pi)) % 0.51/0.94 (define @t226 () (_ @t114 @t225)) % 0.51/0.94 (define @t227 () (_ @t221 @t125)) % 0.51/0.94 (define @t228 () (@list @t60 @t125 @t220)) % 0.51/0.94 (define @t229 () (_ @t223 @t9)) % 0.51/0.94 (define @t230 () (@var "X" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t231 () (_ (_ tptp.fresh_567880928ubject @t60) (_ (_ tptp.produc581368530ubject @t230) @t215))) % 0.51/0.94 (define @t232 () (@list @t60 @t230 @t215)) % 0.51/0.94 (define @t233 () (_ (_ tptp.fresh_1711070152reeRes @t60) (_ (_ tptp.produc1505598906reeRes @t230) @t220))) % 0.51/0.94 (define @t234 () (@list @t60 @t230 @t220)) % 0.51/0.94 (define @t235 () (_ (_ tptp.fresh_453496559i_name @t60) (_ (_ tptp.produc540578151i_name @t230) @t134))) % 0.51/0.94 (define @t236 () (@list @t60 @t230 @t134)) % 0.51/0.94 (define @t237 () (_ (_ tptp.fresh_253309757_pi_pi @t60) (_ (_ tptp.produc1820286517_pi_pi @t230) @t225))) % 0.51/0.94 (define @t238 () (@list @t60 @t230 @t225)) % 0.51/0.94 (define @t239 () (@var "Y" (-> tptp.name tptp.noption_pi))) % 0.51/0.94 (define @t240 () (_ tptp.fresh_543891186ion_pi @t60)) % 0.51/0.94 (define @t241 () (_ (_ tptp.fresh_225680151ion_pi @t60) (_ (_ tptp.produc1342893193ion_pi @t230) @t239))) % 0.51/0.94 (define @t242 () (@list @t60 @t230 @t239)) % 0.51/0.94 (define @t243 () (_ (_ tptp.fresh_1627595501_pi_pi @t60) (_ (_ tptp.product_Pair_pi_pi @t126) @t225))) % 0.51/0.94 (define @t244 () (@list @t60 @t126 @t225)) % 0.51/0.94 (define @t245 () (_ @t240 @t230)) % 0.51/0.94 (define @t246 () (_ @t24 @t47)) % 0.51/0.94 (define @t247 () (_ tptp.output @t60)) % 0.51/0.94 (define @t248 () (_ (_ @t247 @t95) @t35)) % 0.51/0.94 (define @t249 () (_ tptp.late_transitions (_ @t10 @t248))) % 0.51/0.94 (define @t250 () (@var "X1" tptp.name)) % 0.51/0.94 (define @t251 () (_ @t223 @t250)) % 0.51/0.94 (define @t252 () (_ tptp.late_InputS @t250)) % 0.51/0.94 (define @t253 () (@list @t60 @t250)) % 0.51/0.94 (define @t254 () (_ tptp.late_BoundOutputS @t250)) % 0.51/0.94 (define @t255 () (@var "Y1" tptp.name)) % 0.51/0.94 (define @t256 () (= @t250 @t255)) % 0.51/0.94 (define @t257 () (@list @t250 @t255)) % 0.51/0.94 (define @t258 () (@list @t60)) % 0.51/0.94 (define @t259 () (_ tptp.fresh_81631222sidual @t60)) % 0.51/0.94 (define @t260 () (_ @t223 @t71)) % 0.51/0.94 (define @t261 () (@var "X32" tptp.name)) % 0.51/0.94 (define @t262 () (_ @t223 @t261)) % 0.51/0.94 (define @t263 () (and @t262 @t260 @t115)) % 0.51/0.94 (define @t264 () (_ (_ (_ tptp.output @t261) @t71) @t79)) % 0.51/0.94 (define @t265 () (@list @t60 @t261 @t71 @t79)) % 0.51/0.94 (define @t266 () (@var "Y32" tptp.name)) % 0.51/0.94 (define @t267 () (= @t261 @t266)) % 0.51/0.94 (define @t268 () (and @t267 @t72 @t80)) % 0.51/0.94 (define @t269 () (@list @t261 @t71 @t79 @t266 @t70 @t78)) % 0.51/0.94 (define @t270 () (@var "Name2" tptp.name)) % 0.51/0.94 (define @t271 () (@var "Subject" tptp.late_subject)) % 0.51/0.94 (define @t272 () (@var "P" (-> tptp.late_subject Bool))) % 0.51/0.94 (define @t273 () (@var "Name3" tptp.name)) % 0.51/0.94 (define @t274 () (@list @t273)) % 0.51/0.94 (define @t275 () (@var "C" tptp.late_subject)) % 0.51/0.94 (define @t276 () (_ tptp.late_transitions @t248)) % 0.51/0.94 (define @t277 () (_ tptp.res @t134)) % 0.51/0.94 (define @t278 () (_ @t277 @t47)) % 0.51/0.94 (define @t279 () (@var "A" tptp.late_subject)) % 0.51/0.94 (define @t280 () (_ tptp.late_BoundR @t279)) % 0.51/0.94 (define @t281 () (_ @t280 @t9)) % 0.51/0.94 (define @t282 () (_ tptp.late_transitions (_ @t277 @t35))) % 0.51/0.94 (define @t283 () (_ @t282 (_ @t281 @t278))) % 0.51/0.94 (define @t284 () (not (= @t134 @t9))) % 0.51/0.94 (define @t285 () (_ (_ tptp.fresh_717452603ubject @t134) @t279)) % 0.51/0.94 (define @t286 () (_ @t281 @t47)) % 0.51/0.94 (define @t287 () (_ @t54 @t286)) % 0.51/0.94 (define @t288 () (@list @t35 @t279 @t9 @t47 @t134)) % 0.51/0.94 (define @t289 () (_ tptp.fresh_1641682979reeRes @t95)) % 0.51/0.94 (define @t290 () (_ @t276 @t53)) % 0.51/0.94 (define @t291 () (@var "FreeRes" tptp.late_freeRes)) % 0.51/0.94 (define @t292 () (@var "Pi3" tptp.pi)) % 0.51/0.94 (define @t293 () (@var "Residual" tptp.late_residual)) % 0.51/0.94 (define @t294 () (@var "P" (-> tptp.late_residual Bool))) % 0.51/0.94 (define @t295 () (@var "Pi4" tptp.pi)) % 0.51/0.94 (define @t296 () (@var "FreeRes2" tptp.late_freeRes)) % 0.51/0.94 (define @t297 () (_ (_ tptp.late_FreeR @t296) @t295)) % 0.51/0.94 (define @t298 () (@var "Subject2" tptp.late_subject)) % 0.51/0.94 (define @t299 () (_ (_ (_ tptp.late_BoundR @t298) @t273) @t295)) % 0.51/0.94 (define @t300 () (@var "Pi22" tptp.pi)) % 0.51/0.94 (define @t301 () (@var "Pi12" tptp.pi)) % 0.51/0.94 (define @t302 () (_ (_ tptp.par @t301) @t300)) % 0.51/0.94 (define @t303 () (@var "Name22" tptp.name)) % 0.51/0.94 (define @t304 () (@var "Name1" tptp.name)) % 0.51/0.94 (define @t305 () (_ (_ (_ tptp.output @t304) @t303) @t292)) % 0.51/0.94 (define @t306 () (@list @t304 @t303 @t292 @t301 @t300)) % 0.51/0.94 (define @t307 () (@list @t304 @t303 @t292 @t209 @t208)) % 0.51/0.94 (define @t308 () (@var "A3" tptp.late_subject)) % 0.51/0.94 (define @t309 () (@var "X4" tptp.name)) % 0.51/0.94 (define @t310 () (_ tptp.fresh_717452603ubject @t309)) % 0.51/0.94 (define @t311 () (_ @t310 @t308)) % 0.51/0.94 (define @t312 () (not @t311)) % 0.51/0.94 (define @t313 () (@var "Q3" tptp.pi)) % 0.51/0.94 (define @t314 () (_ tptp.fresh_name_pi @t309)) % 0.51/0.94 (define @t315 () (@var "P4" tptp.pi)) % 0.51/0.94 (define @t316 () (_ @t314 @t315)) % 0.51/0.94 (define @t317 () (=> @t316 (=> (_ @t314 @t313) @t312))) % 0.51/0.94 (define @t318 () (@var "Q4" tptp.pi)) % 0.51/0.94 (define @t319 () (_ tptp.late_BoundR @t308)) % 0.51/0.94 (define @t320 () (_ @t319 @t309)) % 0.51/0.94 (define @t321 () (_ @t320 @t318)) % 0.51/0.94 (define @t322 () (_ tptp.par @t315)) % 0.51/0.94 (define @t323 () (_ (_ (_ tptp.late_BoundR @t82) @t134) @t47)) % 0.51/0.94 (define @t324 () (= @t44 (_ @t322 @t313))) % 0.51/0.94 (define @t325 () (@var "P5" tptp.pi)) % 0.51/0.94 (define @t326 () (_ tptp.late_transitions @t315)) % 0.51/0.94 (define @t327 () (_ @t326 (_ @t320 @t325))) % 0.51/0.94 (define @t328 () (_ tptp.par @t325)) % 0.51/0.94 (define @t329 () (_ @t52 (_ @t281 @t49))) % 0.51/0.94 (define @t330 () (_ tptp.fresh_717452603ubject @t9)) % 0.51/0.94 (define @t331 () (_ @t330 @t279)) % 0.51/0.94 (define @t332 () (_ @t46 @t41)) % 0.51/0.94 (define @t333 () (_ @t46 @t35)) % 0.51/0.94 (define @t334 () (@list @t35 @t279 @t9 @t47 @t41)) % 0.51/0.94 (define @t335 () (_ @t52 (_ @t281 @t57))) % 0.51/0.94 (define @t336 () (_ @t58 (_ @t281 @t56))) % 0.51/0.94 (define @t337 () (@list @t41 @t279 @t9 @t56 @t35)) % 0.51/0.94 (define @t338 () (@var "Rs" tptp.late_residual)) % 0.51/0.94 (define @t339 () (_ @t54 @t338)) % 0.51/0.94 (define @t340 () (@var "Z" tptp.late_subject)) % 0.51/0.94 (define @t341 () (@var "P" (-> tptp.late_subject tptp.late_residual Bool))) % 0.51/0.94 (define @t342 () (@var "Z2" tptp.late_subject)) % 0.51/0.94 (define @t343 () (_ @t341 @t342)) % 0.51/0.94 (define @t344 () (_ tptp.fresh_717452603ubject @t273)) % 0.51/0.94 (define @t345 () (_ @t344 @t298)) % 0.51/0.94 (define @t346 () (_ @t344 @t342)) % 0.51/0.94 (define @t347 () (@var "Z" tptp.late_freeRes)) % 0.51/0.94 (define @t348 () (@var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) % 0.51/0.94 (define @t349 () (@var "Z2" tptp.late_freeRes)) % 0.51/0.94 (define @t350 () (_ @t348 @t349)) % 0.51/0.94 (define @t351 () (_ (_ tptp.fresh_1641682979reeRes @t273) @t349)) % 0.51/0.94 (define @t352 () (@var "Z" tptp.name)) % 0.51/0.94 (define @t353 () (@var "P" (-> tptp.name tptp.late_residual Bool))) % 0.51/0.94 (define @t354 () (@var "Z2" tptp.name)) % 0.51/0.94 (define @t355 () (_ @t353 @t354)) % 0.51/0.94 (define @t356 () (_ (_ tptp.fresh_name_name @t273) @t354)) % 0.51/0.94 (define @t357 () (@var "Z" tptp.pi)) % 0.51/0.94 (define @t358 () (@var "P" (-> tptp.pi tptp.late_residual Bool))) % 0.51/0.94 (define @t359 () (@var "Z2" tptp.pi)) % 0.51/0.94 (define @t360 () (_ @t358 @t359)) % 0.51/0.94 (define @t361 () (_ (_ tptp.fresh_name_pi @t273) @t359)) % 0.51/0.94 (define @t362 () (_ (_ tptp.subs @t47) @t9)) % 0.51/0.94 (define @t363 () (_ @t52 (_ @t24 (_ @t277 (_ (_ tptp.par (_ @t362 @t134)) @t56))))) % 0.51/0.94 (define @t364 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t60))) % 0.51/0.94 (define @t365 () (_ @t364 @t134)) % 0.51/0.94 (define @t366 () (_ @t58 (_ @t365 @t56))) % 0.51/0.94 (define @t367 () (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t60)) @t9)) % 0.51/0.94 (define @t368 () (_ @t54 (_ @t367 @t47))) % 0.51/0.94 (define @t369 () (@list @t35 @t60 @t9 @t47 @t41 @t134 @t56)) % 0.51/0.94 (define @t370 () (_ (_ tptp.subs @t56) @t9)) % 0.51/0.94 (define @t371 () (_ @t52 (_ @t24 (_ @t277 (_ @t48 (_ @t370 @t134)))))) % 0.51/0.94 (define @t372 () (_ @t135 @t41)) % 0.51/0.94 (define @t373 () (_ @t58 (_ @t367 @t56))) % 0.51/0.94 (define @t374 () (_ @t54 (_ @t365 @t47))) % 0.51/0.94 (define @t375 () (@list @t35 @t60 @t134 @t47 @t41 @t9 @t56)) % 0.51/0.94 (define @t376 () (= @t9 @t134)) % 0.51/0.94 (define @t377 () (not @t376)) % 0.51/0.94 (define @t378 () (not (= @t134 @t60))) % 0.51/0.94 (define @t379 () (_ @t46 @t56)) % 0.51/0.94 (define @t380 () (not (= @t9 @t60))) % 0.51/0.94 (define @t381 () (_ @t46 @t47)) % 0.51/0.94 (define @t382 () (@var "XP" tptp.pi)) % 0.51/0.94 (define @t383 () (@var "F" (-> tptp.pi Bool))) % 0.51/0.94 (define @t384 () (_ tptp.fresh_1641682979reeRes @t9)) % 0.51/0.94 (define @t385 () (_ @t54 (_ @t51 @t325))) % 0.51/0.94 (define @t386 () (@list @t325)) % 0.51/0.94 (define @t387 () (_ tptp.late_transitions @t38)) % 0.51/0.94 (define @t388 () (@var "Alpha2" tptp.late_freeRes)) % 0.51/0.94 (define @t389 () (_ tptp.fresh_1641682979reeRes @t201)) % 0.51/0.94 (define @t390 () (_ tptp.late_FreeR @t388)) % 0.51/0.94 (define @t391 () (=> (_ @t326 (_ @t390 @t325)) (not (_ @t389 @t388)))) % 0.51/0.94 (define @t392 () (_ tptp.res @t201)) % 0.51/0.94 (define @t393 () (_ @t392 @t325)) % 0.51/0.94 (define @t394 () (_ @t390 @t393)) % 0.51/0.94 (define @t395 () (_ @t392 @t315)) % 0.51/0.94 (define @t396 () (= @t38 @t395)) % 0.51/0.94 (define @t397 () (@list @t315 @t388 @t325 @t201)) % 0.51/0.94 (define @t398 () (_ (_ tptp.fresh_1641682979reeRes @t134) @t50)) % 0.51/0.94 (define @t399 () (@var "PQ" tptp.pi)) % 0.51/0.94 (define @t400 () (@var "Prop" (-> tptp.pi Bool))) % 0.51/0.94 (define @t401 () (_ @t54 (_ @t281 @t325))) % 0.51/0.94 (define @t402 () (_ @t52 (_ @t24 (_ (_ tptp.par (_ @t362 @t95)) @t56)))) % 0.51/0.94 (define @t403 () (not (= @t9 @t95))) % 0.51/0.94 (define @t404 () (_ (_ tptp.late_OutputR @t60) @t95)) % 0.51/0.94 (define @t405 () (_ tptp.late_FreeR @t404)) % 0.51/0.94 (define @t406 () (_ @t58 (_ @t405 @t56))) % 0.51/0.94 (define @t407 () (@list @t35 @t60 @t9 @t47 @t41 @t95 @t56)) % 0.51/0.94 (define @t408 () (_ @t52 (_ @t24 (_ @t48 (_ @t370 @t95))))) % 0.51/0.94 (define @t409 () (_ @t405 @t47)) % 0.51/0.94 (define @t410 () (_ @t54 @t409)) % 0.51/0.94 (define @t411 () (@list @t35 @t60 @t95 @t47 @t41 @t9 @t56)) % 0.51/0.94 (define @t412 () (_ tptp.late_BoundOutputS @t71)) % 0.51/0.94 (define @t413 () (@var "X22" tptp.name)) % 0.51/0.94 (define @t414 () (@var "X12" tptp.name)) % 0.51/0.94 (define @t415 () (@var "Y12" tptp.name)) % 0.51/0.94 (define @t416 () (@var "X122" tptp.name)) % 0.51/0.94 (define @t417 () (@var "Y11" tptp.name)) % 0.51/0.94 (define @t418 () (@var "X11" tptp.name)) % 0.51/0.94 (define @t419 () (_ (_ tptp.late_OutputR @t418) @t416)) % 0.51/0.94 (define @t420 () (_ (_ tptp.late_OutputR @t71) @t250)) % 0.51/0.94 (define @t421 () (@var "X123" tptp.name)) % 0.51/0.94 (define @t422 () (@var "X112" tptp.name)) % 0.51/0.94 (define @t423 () (@var "FreeRes3" tptp.late_freeRes)) % 0.51/0.94 (define @t424 () (@var "P" (-> tptp.late_freeRes Bool))) % 0.51/0.94 (define @t425 () (@var "Name23" tptp.name)) % 0.51/0.94 (define @t426 () (@var "Name12" tptp.name)) % 0.51/0.94 (define @t427 () (@var "A3" tptp.name)) % 0.51/0.94 (define @t428 () (_ tptp.late_OutputR @t427)) % 0.51/0.94 (define @t429 () (_ tptp.late_FreeR (_ @t428 @t157))) % 0.51/0.94 (define @t430 () (= @t35 @t315)) % 0.51/0.94 (define @t431 () (= @t60 @t427)) % 0.51/0.94 (define @t432 () (and @t431 (= @t95 @t157) @t430)) % 0.51/0.94 (define @t433 () (@list @t60 @t95 @t35 @t338)) % 0.51/0.94 (define @t434 () (@var "Prop" (-> tptp.late_freeRes tptp.pi Bool))) % 0.51/0.94 (define @t435 () (_ (_ @t434 @t50) @t47)) % 0.51/0.94 (define @t436 () (= @t35 @t47)) % 0.51/0.94 (define @t437 () (@list @t35 @t60 @t95 @t47)) % 0.51/0.94 (define @t438 () (_ tptp.fresh_717452603ubject @t201)) % 0.51/0.94 (define @t439 () (=> @t327 (=> (_ @t438 @t308) (=> (not (= @t201 @t309)) (=> @t316 @t312))))) % 0.51/0.94 (define @t440 () (_ @t320 @t393)) % 0.51/0.94 (define @t441 () (@var "Y4" tptp.name)) % 0.51/0.94 (define @t442 () (_ (_ @t280 @t441) @t47)) % 0.51/0.94 (define @t443 () (@var "X5" tptp.name)) % 0.51/0.94 (define @t444 () (_ (_ tptp.res @t443) @t35)) % 0.51/0.94 (define @t445 () (@list @t315 @t308 @t309 @t325 @t201)) % 0.51/0.94 (define @t446 () (= @t427 @t157)) % 0.51/0.94 (define @t447 () (=> (_ @t326 (_ @t429 @t325)) @t446)) % 0.51/0.94 (define @t448 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t427))) % 0.51/0.94 (define @t449 () (_ (_ @t448 @t157) @t325)) % 0.51/0.94 (define @t450 () (_ (_ tptp.res @t157) @t315)) % 0.51/0.94 (define @t451 () (@list @t315 @t427 @t157)) % 0.51/0.94 (define @t452 () (_ tptp.tau @t35)) % 0.51/0.94 (define @t453 () (_ tptp.late_transitions (_ @t10 @t452))) % 0.51/0.94 (define @t454 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t95))) % 0.51/0.94 (define @t455 () (_ tptp.input @t60)) % 0.51/0.94 (define @t456 () (_ tptp.late_transitions (_ @t10 (_ (_ @t455 @t134) @t35)))) % 0.51/0.94 (define @t457 () (_ tptp.tau @t79)) % 0.51/0.94 (define @t458 () (@list @t60 @t79)) % 0.51/0.94 (define @t459 () (@list @t35 @t34 @t33)) % 0.51/0.94 (define @t460 () (@list @t79 @t78)) % 0.51/0.94 (define @t461 () (@var "Name24" tptp.name)) % 0.51/0.94 (define @t462 () (@var "Name13" tptp.name)) % 0.51/0.94 (define @t463 () (_ (_ (_ tptp.input @t462) @t461) @t208)) % 0.51/0.94 (define @t464 () (_ tptp.tau @t292)) % 0.51/0.94 (define @t465 () (@list @t292 @t462 @t461 @t208)) % 0.51/0.94 (define @t466 () (_ (_ (_ tptp.input @t304) @t303) @t292)) % 0.51/0.94 (define @t467 () (@list @t292 @t301 @t300)) % 0.51/0.94 (define @t468 () (@list @t304 @t303 @t292 @t462 @t461 @t208)) % 0.51/0.94 (define @t469 () (_ tptp.tau @t208)) % 0.51/0.94 (define @t470 () (@list @t304 @t303 @t292 @t208)) % 0.51/0.94 (define @t471 () (_ (_ @t455 @t9) @t35)) % 0.51/0.94 (define @t472 () (_ tptp.late_transitions @t471)) % 0.51/0.94 (define @t473 () (_ tptp.late_transitions @t452)) % 0.51/0.94 (define @t474 () (_ @t472 (_ @t367 @t35))) % 0.51/0.94 (define @t475 () (@list @t315)) % 0.51/0.94 (define @t476 () (_ (_ tptp.abs_fun_name_pi @t250) @t74)) % 0.51/0.94 (define @t477 () (_ @t240 @t476)) % 0.51/0.94 (define @t478 () (@var "X32" tptp.late_subject)) % 0.51/0.94 (define @t479 () (_ (_ (_ tptp.late_BoundR @t478) @t250) @t74)) % 0.51/0.94 (define @t480 () (_ (_ (_ tptp.subst_name @t95) @t34) @t33)) % 0.51/0.94 (define @t481 () (_ tptp.subst_name @t60)) % 0.51/0.94 (define @t482 () (_ (_ @t481 @t34) @t33)) % 0.51/0.94 (define @t483 () (@list @t60 @t95 @t35 @t34 @t33)) % 0.51/0.94 (define @t484 () (_ tptp.subs @t471)) % 0.51/0.94 (define @t485 () (_ (_ tptp.res @t250) @t74)) % 0.51/0.94 (define @t486 () (_ (_ (_ tptp.input @t261) @t250) @t74)) % 0.51/0.94 (define @t487 () (= @t476 (_ (_ tptp.abs_fun_name_pi @t255) @t73))) % 0.51/0.94 (define @t488 () (_ tptp.abs_fun_name_name @t60)) % 0.51/0.94 (define @t489 () (_ @t488 @t9)) % 0.51/0.94 (define @t490 () (_ tptp.abs_fu681348580reeRes @t60)) % 0.51/0.94 (define @t491 () (_ @t490 @t125)) % 0.51/0.94 (define @t492 () (_ tptp.abs_fu1904601852ubject @t60)) % 0.51/0.94 (define @t493 () (_ @t492 @t122)) % 0.51/0.94 (define @t494 () (_ tptp.abs_fun_name_pi @t60)) % 0.51/0.94 (define @t495 () (_ @t494 @t126)) % 0.51/0.94 (define @t496 () (= @t95 @t60)) % 0.51/0.94 (define @t497 () (@var "Y32" tptp.late_subject)) % 0.51/0.94 (define @t498 () (@var "Rel" tptp.set_Pr1834926343_pi_pi)) % 0.51/0.94 (define @t499 () (_ (_ tptp.strong743114133lation @t35) @t498)) % 0.51/0.94 (define @t500 () (_ @t10 @t318)) % 0.51/0.94 (define @t501 () (@var "P6" tptp.pi)) % 0.51/0.94 (define @t502 () (_ tptp.product_Pair_pi_pi @t501)) % 0.51/0.94 (define @t503 () (_ @t54 (_ @t390 @t501))) % 0.51/0.94 (define @t504 () (@list @t501)) % 0.51/0.94 (define @t505 () (_ @t58 (_ @t390 @t318))) % 0.51/0.94 (define @t506 () (=> (forall (@list @t318 @t388) (=> @t505 (=> (_ @t384 @t388) (exists @t504 (and @t503 (_ (_ tptp.member558706512_pi_pi (_ @t502 @t500)) @t498)))))) (_ @t499 (_ @t10 @t41)))) % 0.51/0.94 (define @t507 () (_ tptp.strong2129052853vative @t501)) % 0.51/0.94 (define @t508 () (_ @t319 @t201)) % 0.51/0.94 (define @t509 () (_ @t54 (_ @t508 @t501))) % 0.51/0.94 (define @t510 () (exists @t504 (and @t509 (_ (_ (_ (_ @t507 @t500) @t308) @t201) @t498)))) % 0.51/0.94 (define @t511 () (@var "C4" tptp.late_subject)) % 0.51/0.94 (define @t512 () (not (= @t9 @t201))) % 0.51/0.94 (define @t513 () (_ @t330 @t308)) % 0.51/0.94 (define @t514 () (_ @t58 (_ @t508 @t318))) % 0.51/0.94 (define @t515 () (@list @t318 @t308 @t201)) % 0.51/0.94 (define @t516 () (_ (_ tptp.member558706512_pi_pi (_ @t502 @t318)) @t498)) % 0.51/0.94 (define @t517 () (forall (@list @t318 @t427) (=> (_ @t58 (_ (_ tptp.late_FreeR (_ @t428 @t9)) @t318)) (=> (not (= @t427 @t9)) (exists @t504 (and (_ @t54 (_ (_ @t448 @t9) @t501)) @t516)))))) % 0.51/0.94 (define @t518 () (_ tptp.eqvt_pi @t498)) % 0.51/0.94 (define @t519 () (@var "C4" tptp.late_freeRes)) % 0.51/0.95 (define @t520 () (@var "C4" tptp.name)) % 0.51/0.95 (define @t521 () (@var "C4" tptp.pi)) % 0.51/0.95 (define @t522 () (_ tptp.fresh_name_pi @t201)) % 0.51/0.95 (define @t523 () (@var "S2" tptp.pi)) % 0.51/0.95 (define @t524 () (_ tptp.res @t309)) % 0.51/0.95 (define @t525 () (@var "R" tptp.pi)) % 0.51/0.95 (define @t526 () (_ @t499 @t41)) % 0.51/0.95 (define @t527 () (=> (forall (@list @t388 @t318) (=> @t505 (exists @t504 (and @t503 @t516)))) @t526)) % 0.51/0.95 (define @t528 () (_ (_ @t507 @t318) @t308)) % 0.51/0.95 (define @t529 () (exists @t504 (and (_ @t54 (_ @t320 @t501)) (_ (_ @t528 @t309) @t498)))) % 0.51/0.95 (define @t530 () (_ @t314 @t41)) % 0.51/0.95 (define @t531 () (_ @t314 @t35)) % 0.51/0.95 (define @t532 () (_ @t58 @t321)) % 0.51/0.95 (define @t533 () (@list @t308 @t309 @t318)) % 0.51/0.95 (define @t534 () (_ @t43 tptp.piNil)) % 0.51/0.95 (define @t535 () (_ (_ tptp.par @t313) tptp.piNil)) % 0.51/0.95 (define @t536 () (@list @t313)) % 0.51/0.95 (define @t537 () (@list @t498 @t35)) % 0.51/0.95 (define @t538 () (_ (_ (_ tptp.match @t60) @t95) @t35)) % 0.51/0.95 (define @t539 () (_ (_ (_ tptp.match @t261) @t71) @t79)) % 0.51/0.95 (define @t540 () (_ (_ tptp.strong743114133lation tptp.piNil) @t498)) % 0.51/0.95 (define @t541 () (_ (_ (_ tptp.match @t462) @t461) @t208)) % 0.51/0.95 (define @t542 () (@list @t462 @t461 @t208)) % 0.51/0.95 (define @t543 () (@var "F" (-> tptp.name tptp.name Bool))) % 0.51/0.95 (define @t544 () (_ @t543 @t60)) % 0.51/0.95 (define @t545 () (_ @t544 @t95)) % 0.51/0.95 (define @t546 () (_ (_ tptp.late_transitions @t538) @t338)) % 0.51/0.95 (define @t547 () (@list @t60 @t95 @t35 @t338 @t543)) % 0.51/0.95 (define @t548 () (_ @t326 @t338)) % 0.51/0.95 (define @t549 () (_ (_ (_ tptp.match @t304) @t303) @t292)) % 0.51/0.95 (define @t550 () (_ tptp.mismatch @t60)) % 0.51/0.95 (define @t551 () (_ (_ @t550 @t95) @t35)) % 0.51/0.95 (define @t552 () (_ (_ (_ tptp.mismatch @t261) @t71) @t79)) % 0.51/0.95 (define @t553 () (_ (_ (_ tptp.mismatch @t462) @t461) @t208)) % 0.51/0.95 (define @t554 () (_ (_ (_ tptp.mismatch @t304) @t303) @t292)) % 0.51/0.95 (define @t555 () (_ (_ tptp.late_transitions @t551) @t338)) % 0.51/0.95 (define @t556 () (_ (_ @t550 @t60) @t35)) % 0.51/0.95 (define @t557 () (@var "P" (-> tptp.late_subject tptp.pi Bool))) % 0.51/0.95 (define @t558 () (_ tptp.bang @t295)) % 0.51/0.95 (define @t559 () (_ @t557 @t342)) % 0.51/0.95 (define @t560 () (@var "Za" tptp.late_subject)) % 0.51/0.95 (define @t561 () (_ @t557 @t560)) % 0.51/0.95 (define @t562 () (@list @t560)) % 0.51/0.95 (define @t563 () (forall @t562 (_ @t561 @t295))) % 0.51/0.95 (define @t564 () (@list @t295 @t342)) % 0.51/0.95 (define @t565 () (_ (_ tptp.res @t273) @t295)) % 0.51/0.95 (define @t566 () (@var "Pi23" tptp.pi)) % 0.51/0.95 (define @t567 () (@var "Pi13" tptp.pi)) % 0.51/0.95 (define @t568 () (_ (_ tptp.par @t567) @t566)) % 0.51/0.95 (define @t569 () (forall @t562 (_ @t561 @t566))) % 0.51/0.95 (define @t570 () (forall @t562 (_ @t561 @t567))) % 0.51/0.95 (define @t571 () (@list @t567 @t566 @t342)) % 0.51/0.95 (define @t572 () (_ (_ tptp.sum @t567) @t566)) % 0.51/0.95 (define @t573 () (_ (_ (_ tptp.mismatch @t426) @t425) @t295)) % 0.51/0.95 (define @t574 () (@list @t426 @t425 @t295 @t342)) % 0.51/0.95 (define @t575 () (_ (_ (_ tptp.match @t426) @t425) @t295)) % 0.51/0.95 (define @t576 () (_ (_ (_ tptp.input @t426) @t425) @t295)) % 0.51/0.95 (define @t577 () (_ tptp.fresh_name_name @t425)) % 0.51/0.95 (define @t578 () (_ @t577 @t426)) % 0.51/0.95 (define @t579 () (_ tptp.tau @t295)) % 0.51/0.95 (define @t580 () (_ (_ (_ tptp.output @t426) @t425) @t295)) % 0.51/0.95 (define @t581 () (@var "P" (-> tptp.late_freeRes tptp.pi Bool))) % 0.51/0.95 (define @t582 () (_ @t581 @t349)) % 0.51/0.95 (define @t583 () (@var "Za" tptp.late_freeRes)) % 0.51/0.95 (define @t584 () (_ @t581 @t583)) % 0.51/0.95 (define @t585 () (@list @t583)) % 0.51/0.95 (define @t586 () (forall @t585 (_ @t584 @t295))) % 0.51/0.95 (define @t587 () (@list @t295 @t349)) % 0.51/0.95 (define @t588 () (forall @t585 (_ @t584 @t566))) % 0.51/0.95 (define @t589 () (forall @t585 (_ @t584 @t567))) % 0.51/0.95 (define @t590 () (@list @t567 @t566 @t349)) % 0.51/0.95 (define @t591 () (@list @t426 @t425 @t295 @t349)) % 0.51/0.95 (define @t592 () (@var "P" (-> tptp.name tptp.pi Bool))) % 0.51/0.95 (define @t593 () (_ @t592 @t354)) % 0.51/0.95 (define @t594 () (@var "Za" tptp.name)) % 0.51/0.95 (define @t595 () (_ @t592 @t594)) % 0.51/0.95 (define @t596 () (@list @t594)) % 0.51/0.95 (define @t597 () (forall @t596 (_ @t595 @t295))) % 0.51/0.95 (define @t598 () (@list @t295 @t354)) % 0.51/0.95 (define @t599 () (forall @t596 (_ @t595 @t566))) % 0.51/0.95 (define @t600 () (forall @t596 (_ @t595 @t567))) % 0.51/0.95 (define @t601 () (@list @t567 @t566 @t354)) % 0.51/0.95 (define @t602 () (@list @t426 @t425 @t295 @t354)) % 0.51/0.95 (define @t603 () (@var "P" (-> tptp.pi tptp.pi Bool))) % 0.51/0.95 (define @t604 () (_ @t603 @t359)) % 0.51/0.95 (define @t605 () (@var "Za" tptp.pi)) % 0.51/0.95 (define @t606 () (_ @t603 @t605)) % 0.51/0.95 (define @t607 () (@list @t605)) % 0.51/0.95 (define @t608 () (forall @t607 (_ @t606 @t295))) % 0.51/0.95 (define @t609 () (@list @t295 @t359)) % 0.51/0.95 (define @t610 () (forall @t607 (_ @t606 @t566))) % 0.51/0.95 (define @t611 () (forall @t607 (_ @t606 @t567))) % 0.51/0.95 (define @t612 () (@list @t567 @t566 @t359)) % 0.51/0.95 (define @t613 () (@list @t426 @t425 @t295 @t359)) % 0.51/0.95 (define @t614 () (_ tptp.bang @t79)) % 0.51/0.95 (define @t615 () (_ (_ tptp.sum @t74) @t79)) % 0.51/0.95 (define @t616 () (_ (_ tptp.sum @t35) @t41)) % 0.51/0.95 (define @t617 () (_ tptp.bang @t208)) % 0.51/0.95 (define @t618 () (_ (_ tptp.sum @t301) @t300)) % 0.51/0.95 (define @t619 () (_ (_ tptp.sum @t212) @t211)) % 0.51/0.95 (define @t620 () (_ @t58 @t338)) % 0.51/0.95 (define @t621 () (_ (_ tptp.late_transitions @t616) @t338)) % 0.51/0.95 (define @t622 () (@var "P" Bool)) % 0.51/0.95 (define @t623 () (@list @t9 @t134)) % 0.51/0.95 (define @t624 () (_ @t502 @t16)) % 0.51/0.95 (define @t625 () (_ (_ tptp.member558706512_pi_pi @t624) tptp.rel)) % 0.51/0.95 (define @t626 () (_ @t24 @t501)) % 0.51/0.95 (define @t627 () (_ @t28 @t626)) % 0.51/0.95 (define @t628 () (and @t627 @t625)) % 0.51/0.95 (define @t629 () (exists @t504 @t628)) % 0.51/0.95 (define @t630 () (not @t629)) % 0.51/0.95 (define @t631 () (@var "B4" tptp.name)) % 0.51/0.95 (define @t632 () (@var "A5" tptp.name)) % 0.51/0.95 (define @t633 () (= @t632 @t631)) % 0.51/0.95 (define @t634 () (lambda (@list @t632 @t631) (not @t633))) % 0.51/0.95 (define @t635 () (@var "C3" tptp.name)) % 0.51/0.95 (define @t636 () (lambda (@list @t632 @t631 @t635) (_ (_ (_ tptp.if_name @t633) @t635) @t632))) % 0.51/0.95 (define @t637 () (@var "Rel2" tptp.set_Pr1834926343_pi_pi)) % 0.51/0.95 (define @t638 () (@var "Q6" tptp.pi)) % 0.51/0.95 (define @t639 () (@var "P8" tptp.pi)) % 0.51/0.95 (define @t640 () (@var "Alpha3" tptp.late_freeRes)) % 0.51/0.95 (define @t641 () (_ tptp.late_FreeR @t640)) % 0.51/0.95 (define @t642 () (@var "P7" tptp.pi)) % 0.51/0.95 (define @t643 () (_ tptp.late_transitions @t642)) % 0.51/0.95 (define @t644 () (@list @t639)) % 0.51/0.95 (define @t645 () (@var "Q5" tptp.pi)) % 0.51/0.95 (define @t646 () (_ tptp.late_transitions @t645)) % 0.51/0.95 (define @t647 () (@var "X3" tptp.name)) % 0.51/0.95 (define @t648 () (@var "A5" tptp.late_subject)) % 0.51/0.95 (define @t649 () (_ (_ tptp.late_BoundR @t648) @t647)) % 0.51/0.95 (define @t650 () (lambda (@list @t642 @t637 @t645) (and (forall (@list @t648 @t647 @t638) (=> (and (_ @t646 (_ @t649 @t638)) (_ (_ tptp.fresh_name_pi @t647) @t642)) (exists @t644 (and (_ @t643 (_ @t649 @t639)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t639) @t638) @t648) @t647) @t637))))) (forall (@list @t640 @t638) (=> (_ @t646 (_ @t641 @t638)) (exists @t644 (and (_ @t643 (_ @t641 @t639)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t639) @t638)) @t637)))))))) % 0.51/0.95 (define @t651 () (tptp.par tptp.q2 tptp.r)) % 0.51/0.95 (define @t652 () (tptp.subs @t651 tptp.x tptp.y)) % 0.51/0.95 (define @t653 () (tptp.par tptp.p2 @t652)) % 0.51/0.95 (define @t654 () (tptp.res tptp.y @t653)) % 0.51/0.95 (define @t655 () (tptp.product_Pair_pi_pi @t501 @t654)) % 0.51/0.95 (define @t656 () (tptp.member558706512_pi_pi @t655 tptp.rel)) % 0.51/0.95 (define @t657 () (not @t656)) % 0.51/0.95 (define @t658 () (tptp.late_FreeR tptp.late_TauR @t501)) % 0.51/0.95 (define @t659 () (tptp.par tptp.p tptp.q)) % 0.51/0.95 (define @t660 () (tptp.par @t659 tptp.r)) % 0.51/0.95 (define @t661 () (tptp.late_transitions @t660 @t658)) % 0.51/0.95 (define @t662 () (not @t661)) % 0.51/0.95 (define @t663 () (or @t662 @t657)) % 0.51/0.95 (define @t664 () (forall @t504 @t663)) % 0.51/0.95 (define @t665 () (not @t625)) % 0.51/0.95 (define @t666 () (_ tptp.late_transitions @t660)) % 0.51/0.95 (define @t667 () (not @t627)) % 0.51/0.95 (define @t668 () (or @t667 @t665)) % 0.51/0.95 (define @t669 () (forall @t504 (not @t628))) % 0.51/0.95 (define @t670 () (not @t669)) % 0.51/0.95 (define @t671 () (_ @t29 @t20)) % 0.51/0.95 (define @t672 () (tptp.subs tptp.q2 tptp.x tptp.y)) % 0.51/0.95 (define @t673 () (tptp.par tptp.p2 @t672)) % 0.51/0.95 (define @t674 () (tptp.res tptp.y @t673)) % 0.51/0.95 (define @t675 () (tptp.par @t674 tptp.r)) % 0.51/0.95 (define @t676 () (tptp.late_FreeR tptp.alpha @t675)) % 0.51/0.95 (define @t677 () (tptp.late_transitions @t660 @t676)) % 0.51/0.95 (define @t678 () (tptp.product_Pair_pi_pi @t675 @t654)) % 0.51/0.95 (define @t679 () (tptp.member558706512_pi_pi @t678 tptp.rel)) % 0.51/0.95 (define @t680 () (not @t679)) % 0.51/0.95 (define @t681 () (not @t677)) % 0.51/0.95 (define @t682 () (or @t681 @t680)) % 0.51/0.95 (define @t683 () (not @t682)) % 0.51/0.95 (define @t684 () (forall @t504 (or (not (tptp.late_transitions @t660 (tptp.late_FreeR tptp.alpha @t501))) @t657))) % 0.51/0.95 (assume @p1 (= tptp.alpha tptp.late_TauR)) % 0.51/0.95 (assume @p2 (not (= tptp.x tptp.y))) % 0.51/0.95 (assume @p3 (not (= tptp.y tptp.a))) % 0.51/0.95 (assume @p4 (not (= tptp.x tptp.a))) % 0.51/0.95 (assume @p5 (forall (@list @t4 @t2 @t1) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t8) @t6)) tptp.rel))) % 0.51/0.95 (assume @p6 (forall (@list @t4 @t2 @t9) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t4) @t2)) tptp.rel) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t10 @t4)) (_ @t10 @t2))) tptp.rel)))) % 0.51/0.95 (assume @p7 @t23) % 0.51/0.95 (assume @p8 (_ @t28 (_ @t24 @t20))) % 0.51/0.95 (assume @p9 (_ (_ tptp.late_transitions (_ @t25 @t30)) (_ @t29 tptp.pqr))) % 0.51/0.95 (assume @p10 (_ (_ tptp.member558706512_pi_pi (_ @t21 (_ @t15 (_ @t13 (_ (_ tptp.par @t17) tptp.r))))) tptp.rel)) % 0.51/0.95 (assume @p11 (_ (_ tptp.late_transitions @t26) (_ @t24 @t19))) % 0.51/0.95 (assume @p12 (_ @t31 tptp.q)) % 0.51/0.95 (assume @p13 (_ @t32 tptp.q)) % 0.51/0.95 (assume @p14 (_ @t32 tptp.p2)) % 0.51/0.95 (assume @p15 (_ @t31 tptp.p)) % 0.51/0.95 (assume @p16 (_ @t32 tptp.p)) % 0.51/0.95 (assume @p17 (_ @t31 @t30)) % 0.51/0.95 (assume @p18 (_ @t32 @t30)) % 0.51/0.95 (assume @p19 (forall (@list @t9 @t34 @t33 @t35) (=> @t40 (=> @t39 (= (_ (_ (_ tptp.subs @t38) @t34) @t33) (_ @t10 @t37)))))) % 0.51/0.95 (assume @p20 (forall @t45 (= (_ (_ (_ tptp.subs @t44) @t34) @t33) (_ (_ tptp.par @t37) @t42)))) % 0.51/0.95 (assume @p21 (forall (@list @t9 @t4 @t2 @t1) (=> (_ @t46 @t4) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t10 @t8)) (_ @t5 (_ @t10 @t3)))) tptp.rel)))) % 0.51/0.95 (assume @p22 (forall (@list @t9 @t1 @t4 @t2) (=> (_ @t46 @t1) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par (_ @t10 @t7)) @t1)) (_ @t10 @t6))) tptp.rel)))) % 0.51/0.95 (assume @p23 (forall (@list @t35 @t50 @t47 @t41) (=> @t55 (_ @t52 (_ @t51 @t49))))) % 0.51/0.95 (assume @p24 (forall (@list @t41 @t50 @t56 @t35) (=> @t59 (_ @t52 (_ @t51 @t57))))) % 0.51/0.95 (assume @p25 (forall (@list @t35 @t60) (= (_ @t61 @t60) @t35))) % 0.51/0.95 (assume @p26 (_ @t32 tptp.r)) % 0.51/0.95 (assume @p27 (_ @t31 tptp.r)) % 0.51/0.95 (assume @p28 (forall (@list @t65 @t63 @t64 @t62) (= (= (_ (_ tptp.produc581368530ubject @t65) @t63) (_ (_ tptp.produc581368530ubject @t64) @t62)) (and @t66 (= @t63 @t62))))) % 0.51/0.95 (assume @p29 (forall (@list @t65 @t68 @t64 @t67) (= (= (_ (_ tptp.produc1505598906reeRes @t65) @t68) (_ (_ tptp.produc1505598906reeRes @t64) @t67)) (and @t66 @t69)))) % 0.51/0.95 (assume @p30 (forall (@list @t65 @t71 @t64 @t70) (= (= (_ (_ tptp.produc540578151i_name @t65) @t71) (_ (_ tptp.produc540578151i_name @t64) @t70)) (and @t66 @t72)))) % 0.51/0.95 (assume @p31 (forall (@list @t65 @t74 @t64 @t73) (= (= (_ (_ tptp.produc1820286517_pi_pi @t65) @t74) (_ (_ tptp.produc1820286517_pi_pi @t64) @t73)) (and @t66 @t75)))) % 0.51/0.95 (assume @p32 (forall (@list @t65 @t77 @t64 @t76) (= (= (_ (_ tptp.produc1342893193ion_pi @t65) @t77) (_ (_ tptp.produc1342893193ion_pi @t64) @t76)) (and @t66 (= @t77 @t76))))) % 0.51/0.95 (assume @p33 (forall (@list @t79 @t74 @t78 @t73) (= (= (_ (_ tptp.product_Pair_pi_pi @t79) @t74) (_ (_ tptp.product_Pair_pi_pi @t78) @t73)) (and @t80 @t75)))) % 0.51/0.95 (assume @p34 (forall @t88 (= @t87 (and @t86 @t83)))) % 0.51/0.95 (assume @p35 (forall @t93 (= @t92 (and @t86 @t91)))) % 0.51/0.95 (assume @p36 (forall @t98 (= @t97 (and @t86 @t96)))) % 0.51/0.95 (assume @p37 (forall @t103 (= @t102 (and @t86 @t101)))) % 0.51/0.95 (assume @p38 (forall @t108 (= @t107 (and @t86 @t106)))) % 0.51/0.95 (assume @p39 (forall @t113 (= @t112 (and @t111 @t101)))) % 0.51/0.95 (assume @p40 (_ @t31 tptp.qr)) % 0.51/0.95 (assume @p41 (forall @t118 (= (_ @t114 @t117) @t116))) % 0.51/0.95 (assume @p42 (forall (@list @t95 @t35 @t60 @t34) (=> @t121 (= (_ (_ (_ tptp.subs @t119) @t95) @t34) (_ @t61 @t34))))) % 0.51/0.95 (assume @p43 (forall (@list @t122) (not (forall @t124 (not (_ (_ tptp.fresh_717452603ubject @t123) @t122)))))) % 0.51/0.95 (assume @p44 (forall (@list @t125) (not (forall @t124 (not (_ (_ tptp.fresh_1641682979reeRes @t123) @t125)))))) % 0.51/0.95 (assume @p45 (forall (@list @t9) (not (forall @t124 (not (_ (_ tptp.fresh_name_name @t123) @t9)))))) % 0.51/0.95 (assume @p46 (forall (@list @t126) (not (forall @t124 (not (_ (_ tptp.fresh_name_pi @t123) @t126)))))) % 0.51/0.95 (assume @p47 (forall (@list @t60 @t35) (_ @t114 @t127))) % 0.51/0.95 (assume @p48 (forall @t130 (=> @t129 (_ @t114 @t119)))) % 0.51/0.95 (assume @p49 (forall (@list @t60 @t35 @t34 @t95) (=> @t133 (=> @t132 (_ @t114 @t131))))) % 0.51/0.95 (assume @p50 (forall (@list @t60 @t35 @t95) (=> @t133 (= @t119 @t35)))) % 0.51/0.95 (assume @p51 (forall @t138 (=> @t55 (=> @t137 @t136)))) % 0.51/0.95 (assume @p52 (forall @t141 (=> @t121 (= (_ (_ (_ tptp.subs @t127) @t60) @t95) @t140)))) % 0.51/0.95 (assume @p53 (forall @t141 (=> @t121 (= @t127 @t140)))) % 0.51/0.95 (assume @p54 (forall (@list @t143 @t142) (=> @t148 (_ @t143 @t142)))) % 0.51/0.95 (assume @p55 (forall (@list @t150 @t149) (=> @t154 (_ @t150 @t149)))) % 0.51/0.95 (assume @p56 (forall (@list @t156 @t155) (=> @t160 (_ @t156 @t155)))) % 0.51/0.95 (assume @p57 (forall (@list @t162 @t161) (=> @t166 (_ @t162 @t161)))) % 0.51/0.95 (assume @p58 (forall (@list @t168 @t167) (=> @t172 (_ @t168 @t167)))) % 0.51/0.95 (assume @p59 (forall (@list @t174 @t173) (=> @t178 (_ @t174 @t173)))) % 0.51/0.95 (assume @p60 (forall (@list @t179) (not (forall @t147 (not (= @t179 @t146)))))) % 0.51/0.95 (assume @p61 (forall (@list @t180) (not (forall @t153 (not (= @t180 @t152)))))) % 0.51/0.95 (assume @p62 (forall (@list @t181) (not (forall @t159 (not (= @t181 @t158)))))) % 0.51/0.95 (assume @p63 (forall (@list @t182) (not (forall @t165 (not (= @t182 @t164)))))) % 0.51/0.95 (assume @p64 (forall (@list @t183) (not (forall @t171 (not (= @t183 @t170)))))) % 0.51/0.95 (assume @p65 (forall (@list @t184) (not (forall @t177 (not (= @t184 @t176)))))) % 0.51/0.95 (assume @p66 (forall (@list @t185 @t174) (= (_ (_ tptp.member558706512_pi_pi @t185) @t186) (_ @t174 @t185)))) % 0.51/0.95 (assume @p67 (forall (@list @t187) (= (_ tptp.collec1051790738_pi_pi (lambda (@list @t188) (_ (_ tptp.member558706512_pi_pi @t188) @t187))) @t187))) % 0.51/0.95 (assume @p68 (forall (@list @t174 @t189) (=> (forall (@list @t190) (= (_ @t174 @t190) (_ @t189 @t190))) (= @t186 (_ tptp.collec1051790738_pi_pi @t189))))) % 0.51/0.95 (assume @p69 (forall @t88 (=> @t87 (not (=> @t86 (not @t83)))))) % 0.51/0.95 (assume @p70 (forall @t93 (=> @t92 (not (=> @t86 (not @t91)))))) % 0.51/0.95 (assume @p71 (forall @t98 (=> @t97 (not (=> @t86 (not @t96)))))) % 0.51/0.95 (assume @p72 (forall @t103 (=> @t102 (not (=> @t86 @t191))))) % 0.51/0.95 (assume @p73 (forall @t108 (=> @t107 (not (=> @t86 (not @t106)))))) % 0.51/0.95 (assume @p74 (forall @t113 (=> @t112 (not (=> @t111 @t191))))) % 0.51/0.95 (assume @p75 (forall (@list @t143 @t192) (=> @t148 (_ @t143 @t192)))) % 0.51/0.95 (assume @p76 (forall (@list @t150 @t193) (=> @t154 (_ @t150 @t193)))) % 0.51/0.95 (assume @p77 (forall (@list @t156 @t194) (=> @t160 (_ @t156 @t194)))) % 0.51/0.95 (assume @p78 (forall (@list @t162 @t195) (=> @t166 (_ @t162 @t195)))) % 0.51/0.95 (assume @p79 (forall (@list @t168 @t196) (=> @t172 (_ @t168 @t196)))) % 0.51/0.95 (assume @p80 (forall (@list @t174 @t197) (=> @t178 (_ @t174 @t197)))) % 0.51/0.95 (assume @p81 (forall (@list @t192) (exists (@list @t199 @t198) (= @t192 (_ (_ tptp.produc581368530ubject @t199) @t198))))) % 0.51/0.95 (assume @p82 (forall (@list @t193) (exists (@list @t199 @t200) (= @t193 (_ (_ tptp.produc1505598906reeRes @t199) @t200))))) % 0.51/0.95 (assume @p83 (forall (@list @t194) (exists (@list @t199 @t201) (= @t194 (_ (_ tptp.produc540578151i_name @t199) @t201))))) % 0.51/0.95 (assume @p84 (forall (@list @t195) (exists (@list @t199 @t202) (= @t195 (_ (_ tptp.produc1820286517_pi_pi @t199) @t202))))) % 0.51/0.95 (assume @p85 (forall (@list @t196) (exists (@list @t199 @t203) (= @t196 (_ (_ tptp.produc1342893193ion_pi @t199) @t203))))) % 0.51/0.95 (assume @p86 (forall (@list @t197) (exists (@list @t204 @t202) (= @t197 (_ (_ tptp.product_Pair_pi_pi @t204) @t202))))) % 0.51/0.95 (assume @p87 (forall @t206 (= (= @t117 (_ (_ tptp.par @t73) @t78)) @t205))) % 0.51/0.95 (assume @p88 (forall (@list @t68 @t79 @t67 @t78) (= (= @t207 (_ (_ tptp.late_FreeR @t67) @t78)) (and @t69 @t80)))) % 0.51/0.95 (assume @p89 (forall @t213 (not (= (_ (_ tptp.par @t212) @t211) @t210)))) % 0.51/0.95 (assume @p90 (_ (_ tptp.late_transitions @t30) (_ @t214 tptp.qr))) % 0.51/0.95 (assume @p91 (forall @t219 (= (_ (_ tptp.fresh_495373993ubject @t60) (_ (_ tptp.produc1465345179ubject @t122) @t215)) (and @t218 @t217)))) % 0.51/0.95 (assume @p92 (forall (@list @t60 @t122 @t220) (= (_ (_ tptp.fresh_1638563217reeRes @t60) (_ (_ tptp.produc242091907reeRes @t122) @t220)) (and @t218 @t222)))) % 0.51/0.95 (assume @p93 (forall (@list @t60 @t122 @t134) (= (_ (_ tptp.fresh_1953561446t_name @t60) (_ (_ tptp.produc1647375838t_name @t122) @t134)) (and @t218 @t224)))) % 0.51/0.95 (assume @p94 (forall (@list @t60 @t122 @t225) (= (_ (_ tptp.fresh_994896692ect_pi @t60) (_ (_ tptp.produc324947500ect_pi @t122) @t225)) (and @t218 @t226)))) % 0.51/0.95 (assume @p95 (forall (@list @t60 @t125 @t215) (= (_ (_ tptp.fresh_1498103185ubject @t60) (_ (_ tptp.produc320590723ubject @t125) @t215)) (and @t227 @t217)))) % 0.51/0.95 (assume @p96 (forall @t228 (= (_ (_ tptp.fresh_493808761reeRes @t60) (_ (_ tptp.produc1244821099reeRes @t125) @t220)) (and @t227 @t222)))) % 0.51/0.95 (assume @p97 (forall (@list @t60 @t125 @t134) (= (_ (_ tptp.fresh_2007541374s_name @t60) (_ (_ tptp.produc1701355766s_name @t125) @t134)) (and @t227 @t224)))) % 0.51/0.95 (assume @p98 (forall (@list @t60 @t125 @t225) (= (_ (_ tptp.fresh_1847501388Res_pi @t60) (_ (_ tptp.produc1177552196Res_pi @t125) @t225)) (and @t227 @t226)))) % 0.51/0.95 (assume @p99 (forall (@list @t60 @t9 @t215) (= (_ (_ tptp.fresh_820177506ubject @t60) (_ (_ tptp.produc607574050ubject @t9) @t215)) (and @t229 @t217)))) % 0.51/0.95 (assume @p100 (forall (@list @t60 @t9 @t220) (= (_ (_ tptp.fresh_1963366730reeRes @t60) (_ (_ tptp.produc1531804426reeRes @t9) @t220)) (and @t229 @t222)))) % 0.51/0.95 (assume @p101 (_ (_ tptp.late_transitions tptp.p) (_ (_ (_ tptp.late_BoundR (_ tptp.late_BoundOutputS tptp.a)) tptp.y) tptp.p2))) % 0.51/0.95 (assume @p102 (_ (_ tptp.late_transitions tptp.q) (_ @t214 tptp.q2))) % 0.51/0.95 (assume @p103 (forall @t232 (=> @t231 @t217))) % 0.51/0.95 (assume @p104 (forall @t234 (=> @t233 @t222))) % 0.51/0.95 (assume @p105 (forall @t236 (=> @t235 @t224))) % 0.51/0.95 (assume @p106 (forall @t238 (=> @t237 @t226))) % 0.51/0.95 (assume @p107 (forall @t242 (=> @t241 (_ @t240 @t239)))) % 0.51/0.95 (assume @p108 (forall @t244 (=> @t243 @t226))) % 0.51/0.95 (assume @p109 (forall @t232 (=> @t231 @t245))) % 0.51/0.95 (assume @p110 (forall @t234 (=> @t233 @t245))) % 0.51/0.95 (assume @p111 (forall @t236 (=> @t235 @t245))) % 0.51/0.95 (assume @p112 (forall @t238 (=> @t237 @t245))) % 0.51/0.95 (assume @p113 (forall @t242 (=> @t241 @t245))) % 0.51/0.95 (assume @p114 (forall @t244 (=> @t243 (_ @t114 @t126)))) % 0.51/0.95 (assume @p115 (forall (@list @t9 @t60 @t95 @t35 @t47) (not (_ @t249 @t246)))) % 0.51/0.95 (assume @p116 (forall @t253 (= (_ @t216 @t252) @t251))) % 0.51/0.95 (assume @p117 (forall @t253 (= (_ @t216 @t254) @t251))) % 0.51/0.95 (assume @p118 (forall @t257 (= (= @t254 (_ tptp.late_BoundOutputS @t255)) @t256))) % 0.51/0.95 (assume @p119 (forall @t258 (_ @t221 tptp.late_TauR))) % 0.51/0.95 (assume @p120 (forall (@list @t60 @t68 @t79) (= (_ @t259 @t207) (and (_ @t221 @t68) @t115)))) % 0.51/0.95 (assume @p121 (forall @t265 (= (_ @t114 @t264) @t263))) % 0.51/0.95 (assume @p122 (forall @t269 (= (= @t264 (_ (_ (_ tptp.output @t266) @t70) @t78)) @t268))) % 0.51/0.95 (assume @p123 (forall (@list @t270 @t209) (not (= (_ tptp.late_InputS @t270) (_ tptp.late_BoundOutputS @t209))))) % 0.51/0.95 (assume @p124 (forall (@list @t272 @t271) (=> (forall @t274 (_ @t272 (_ tptp.late_InputS @t273))) (=> (forall @t274 (_ @t272 (_ tptp.late_BoundOutputS @t273))) (_ @t272 @t271))))) % 0.51/0.95 (assume @p125 (forall (@list @t60 @t95 @t35 @t275 @t9 @t47) (not (_ @t276 (_ (_ (_ tptp.late_BoundR @t275) @t9) @t47))))) % 0.51/0.95 (assume @p126 (forall (@list @t9 @t60 @t95 @t35 @t34 @t134 @t47) (not (_ @t249 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t34)) @t134) @t47))))) % 0.51/0.95 (assume @p127 (forall @t288 (=> @t287 (=> @t285 (=> @t284 @t283))))) % 0.51/0.95 (assume @p128 (forall @t288 (=> @t287 (=> @t137 @t285)))) % 0.51/0.95 (assume @p129 (forall (@list @t60 @t95 @t35 @t50 @t47) (=> @t290 (not (or (_ @t221 @t50) (_ @t289 @t50)))))) % 0.51/0.95 (assume @p130 (forall (@list @t271 @t270 @t292 @t291 @t208) (not (= (_ (_ (_ tptp.late_BoundR @t271) @t270) @t292) (_ (_ tptp.late_FreeR @t291) @t208))))) % 0.51/0.95 (assume @p131 (forall (@list @t294 @t293) (=> (forall (@list @t298 @t273 @t295) (_ @t294 @t299)) (=> (forall (@list @t296 @t295) (_ @t294 @t297)) (_ @t294 @t293))))) % 0.51/0.95 (assume @p132 (forall @t306 (not (= @t305 @t302)))) % 0.51/0.95 (assume @p133 (forall @t307 (not (= @t305 @t210)))) % 0.51/0.95 (assume @p134 (forall (@list @t35 @t41 @t82 @t134 @t47) (=> (_ @t52 @t323) (=> (forall (@list @t315 @t308 @t309 @t325 @t313) (=> @t324 (=> (= @t323 (_ @t320 (_ @t328 @t313))) (=> @t327 @t317)))) (not (forall (@list @t313 @t308 @t309 @t318 @t315) (=> @t324 (=> (= @t323 (_ @t320 (_ @t322 @t318))) (=> (_ (_ tptp.late_transitions @t313) @t321) @t317))))))))) % 0.51/0.95 (assume @p135 (forall @t334 (=> @t287 (=> @t333 (=> @t332 (=> @t331 @t329)))))) % 0.51/0.95 (assume @p136 (forall @t337 (=> @t336 (=> @t333 (=> @t332 (=> @t331 @t335)))))) % 0.51/0.95 (assume @p137 (forall @t288 (=> @t287 (=> @t285 (=> @t284 (=> @t333 (=> @t331 @t283))))))) % 0.51/0.95 (assume @p138 (forall (@list @t35 @t338 @t9) (=> @t339 (=> @t333 (_ (_ tptp.fresh_81631222sidual @t9) @t338))))) % 0.51/0.95 (assume @p139 (forall @t288 (=> @t287 (=> @t137 (=> @t284 @t136))))) % 0.51/0.95 (assume @p140 (forall (@list @t341 @t340 @t293) (=> (forall (@list @t298 @t273 @t295 @t342) (=> @t346 (=> @t345 (_ @t343 @t299)))) (=> (forall (@list @t296 @t295 @t342) (_ @t343 @t297)) (_ (_ @t341 @t340) @t293))))) % 0.51/0.95 (assume @p141 (forall (@list @t348 @t347 @t293) (=> (forall (@list @t298 @t273 @t295 @t349) (=> @t351 (=> @t345 (_ @t350 @t299)))) (=> (forall (@list @t296 @t295 @t349) (_ @t350 @t297)) (_ (_ @t348 @t347) @t293))))) % 0.51/0.95 (assume @p142 (forall (@list @t353 @t352 @t293) (=> (forall (@list @t298 @t273 @t295 @t354) (=> @t356 (=> @t345 (_ @t355 @t299)))) (=> (forall (@list @t296 @t295 @t354) (_ @t355 @t297)) (_ (_ @t353 @t352) @t293))))) % 0.51/0.95 (assume @p143 (forall (@list @t358 @t357 @t293) (=> (forall (@list @t298 @t273 @t295 @t359) (=> @t361 (=> @t345 (_ @t360 @t299)))) (=> (forall (@list @t296 @t295 @t359) (_ @t360 @t297)) (_ (_ @t358 @t357) @t293))))) % 0.51/0.95 (assume @p144 (forall (@list @t9 @t95 @t35 @t338) (not (_ (_ tptp.late_transitions (_ @t10 (_ (_ (_ tptp.output @t9) @t95) @t35))) @t338)))) % 0.51/0.95 (assume @p145 (forall @t369 (=> @t368 (=> @t366 (=> @t137 @t363))))) % 0.51/0.95 (assume @p146 (forall @t375 (=> @t374 (=> @t373 (=> @t372 @t371))))) % 0.51/0.95 (assume @p147 (forall @t369 (=> @t368 (=> @t366 (=> @t333 (=> @t332 (=> @t137 (=> @t372 (=> @t380 (=> @t379 (=> @t378 (=> @t136 (=> @t377 @t363))))))))))))) % 0.51/0.95 (assume @p148 (forall @t375 (=> @t374 (=> @t373 (=> @t333 (=> @t332 (=> @t137 (=> @t372 (=> @t380 (=> @t381 (=> @t378 (=> (_ @t135 @t56) (=> @t377 @t371))))))))))))) % 0.51/0.95 (assume @p149 (forall (@list @t9 @t35 @t50 @t382 @t383) (=> (_ @t387 (_ @t51 @t382)) (=> (forall @t386 (=> @t385 (=> (_ @t384 @t50) (_ @t383 (_ @t10 @t325))))) (_ @t383 @t382))))) % 0.51/0.95 (assume @p150 (forall (@list @t9 @t35 @t50 @t47) (=> (_ @t387 @t53) (not (forall @t397 (=> @t396 (=> (= @t53 @t394) @t391))))))) % 0.51/0.95 (assume @p151 (forall @t138 (=> @t55 (=> @t398 (_ @t282 (_ @t51 @t278)))))) % 0.51/0.95 (assume @p152 (forall @t334 (=> @t287 (=> @t332 @t329)))) % 0.51/0.95 (assume @p153 (forall @t337 (=> @t336 (=> @t333 @t335)))) % 0.51/0.95 (assume @p154 (forall (@list @t35 @t41 @t279 @t9 @t399 @t400) (=> (_ @t52 (_ @t281 @t399)) (=> @t333 (=> @t332 (=> (forall @t386 (=> @t401 (_ @t400 (_ @t328 @t41)))) (=> (forall (@list @t318) (=> (_ @t58 (_ @t281 @t318)) (_ @t400 (_ @t43 @t318)))) (_ @t400 @t399)))))))) % 0.51/0.95 (assume @p155 (forall @t138 (=> @t55 (=> @t137 @t398)))) % 0.51/0.95 (assume @p156 (forall (@list @t60 @t95 @t35 @t47) (not (_ @t276 @t246)))) % 0.51/0.95 (assume @p157 (forall @t407 (=> @t368 (=> @t406 (=> @t333 (=> @t332 (=> @t380 (=> @t403 (=> @t379 @t402))))))))) % 0.51/0.95 (assume @p158 (forall @t411 (=> @t410 (=> @t373 (=> @t333 (=> @t332 (=> @t380 (=> @t403 (=> @t381 @t408))))))))) % 0.51/0.95 (assume @p159 (forall (@list @t71 @t70) (= (= @t412 (_ tptp.late_BoundOutputS @t70)) @t72))) % 0.51/0.95 (assume @p160 (forall @t257 (= (= @t252 (_ tptp.late_InputS @t255)) @t256))) % 0.51/0.95 (assume @p161 (forall @t407 (=> @t368 (=> @t406 @t402)))) % 0.51/0.95 (assume @p162 (forall @t411 (=> @t410 (=> @t373 @t408)))) % 0.51/0.95 (assume @p163 (forall (@list @t215) (=> (forall (@list @t414) (not (= @t215 (_ tptp.late_InputS @t414)))) (not (forall (@list @t413) (not (= @t215 (_ tptp.late_BoundOutputS @t413)))))))) % 0.51/0.95 (assume @p164 (forall (@list @t418 @t416 @t417 @t415) (= (= @t419 (_ (_ tptp.late_OutputR @t417) @t415)) (and (= @t418 @t417) (= @t416 @t415))))) % 0.51/0.95 (assume @p165 (forall (@list @t71 @t250 @t70 @t255) (= (= @t420 (_ (_ tptp.late_OutputR @t70) @t255)) (and @t72 @t256)))) % 0.51/0.95 (assume @p166 (forall (@list @t60 @t71 @t250) (= (_ @t221 @t420) (and @t260 @t251)))) % 0.51/0.95 (assume @p167 (forall (@list @t418 @t416) (not (= @t419 tptp.late_TauR)))) % 0.51/0.95 (assume @p168 (forall (@list @t220) (=> (forall (@list @t422 @t421) (not (= @t220 (_ (_ tptp.late_OutputR @t422) @t421)))) (= @t220 tptp.late_TauR)))) % 0.51/0.95 (assume @p169 (forall (@list @t424 @t423) (=> (forall (@list @t426 @t425) (_ @t424 (_ (_ tptp.late_OutputR @t426) @t425))) (=> (_ @t424 tptp.late_TauR) (_ @t424 @t423))))) % 0.51/0.95 (assume @p170 (forall (@list @t304 @t303) (not (= (_ (_ tptp.late_OutputR @t304) @t303) tptp.late_TauR)))) % 0.51/0.95 (assume @p171 (forall @t130 (_ @t276 (_ @t405 @t35)))) % 0.51/0.95 (assume @p172 (forall (@list @t60 @t95 @t35 @t34 @t33 @t47) (=> (_ @t276 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t34) @t33)) @t47)) (not (or @t132 (not (= @t95 @t33))))))) % 0.51/0.95 (assume @p173 (forall @t433 (=> (_ @t276 @t338) (not (forall (@list @t427 @t157 @t315) (=> @t432 (not (= @t338 (_ @t429 @t315))))))))) % 0.51/0.95 (assume @p174 (forall (@list @t60 @t95 @t35 @t50 @t47 @t434) (=> @t290 (=> (=> (= @t50 @t404) (=> @t436 (_ (_ @t434 @t404) @t35))) @t435)))) % 0.51/0.95 (assume @p175 (forall (@list @t9 @t60 @t35 @t95 @t134 @t47) (not (_ (_ tptp.late_transitions (_ @t10 (_ (_ @t247 @t9) @t35))) (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t95) @t134)) @t47))))) % 0.51/0.95 (assume @p176 (forall @t437 (=> @t410 (=> @t129 (_ (_ tptp.late_transitions (_ @t139 @t35)) (_ (_ @t364 @t95) @t47)))))) % 0.51/0.95 (assume @p177 (forall (@list @t443 @t35 @t279 @t441 @t47) (=> (_ (_ tptp.late_transitions @t444) @t442) (=> (forall @t451 (=> (= @t444 @t450) (forall @t386 (=> (= @t442 @t449) @t447)))) (not (forall @t445 (=> (= @t444 @t395) (=> (= @t442 @t440) @t439)))))))) % 0.51/0.95 (assume @p178 (forall (@list @t9 @t35 @t338) (=> (_ @t387 @t338) (=> (forall @t451 (=> (= @t38 @t450) (forall @t386 (=> (= @t338 @t449) @t447)))) (=> (forall @t445 (=> @t396 (=> (= @t338 @t440) @t439))) (not (forall @t397 (=> @t396 (=> (= @t338 @t394) @t391))))))))) % 0.51/0.95 (assume @p179 (forall (@list @t250 @t71) (not (= @t252 @t412)))) % 0.51/0.95 (assume @p180 (forall (@list @t9 @t35 @t60 @t95 @t47) (not (_ @t453 @t409)))) % 0.51/0.95 (assume @p181 (forall (@list @t9 @t60 @t134 @t35 @t95 @t352 @t47) (not (_ @t456 (_ (_ @t454 @t352) @t47))))) % 0.51/0.95 (assume @p182 (forall @t458 (= (_ @t114 @t457) @t115))) % 0.51/0.95 (assume @p183 (forall @t459 (= (_ (_ (_ tptp.subs @t452) @t34) @t33) (_ tptp.tau @t37)))) % 0.51/0.95 (assume @p184 (forall @t460 (= (= @t457 (_ tptp.tau @t78)) @t80))) % 0.51/0.95 (assume @p185 (forall @t465 (not (= @t464 @t463)))) % 0.51/0.95 (assume @p186 (forall @t306 (not (= @t466 @t302)))) % 0.51/0.95 (assume @p187 (forall @t307 (not (= @t466 @t210)))) % 0.51/0.95 (assume @p188 (forall @t467 (not (= @t464 @t302)))) % 0.51/0.95 (assume @p189 (forall (@list @t292 @t209 @t208) (not (= @t464 @t210)))) % 0.51/0.95 (assume @p190 (forall @t468 (not (= @t305 @t463)))) % 0.51/0.95 (assume @p191 (forall @t470 (not (= @t305 @t469)))) % 0.51/0.95 (assume @p192 (forall (@list @t9 @t134 @t35 @t338) (not (_ (_ tptp.late_transitions (_ @t10 (_ (_ (_ tptp.input @t9) @t134) @t35))) @t338)))) % 0.51/0.95 (assume @p193 (forall (@list @t60 @t9 @t35 @t50 @t47) (not (_ @t472 @t53)))) % 0.51/0.95 (assume @p194 (forall (@list @t35 @t279 @t9 @t47) (not (_ @t473 @t286)))) % 0.51/0.95 (assume @p195 (forall (@list @t9 @t60 @t134 @t35 @t50 @t47) (not (_ @t456 @t53)))) % 0.51/0.95 (assume @p196 (forall (@list @t60 @t9 @t35) @t474)) % 0.51/0.95 (assume @p197 (forall (@list @t9 @t60 @t35) (=> @t380 @t474))) % 0.51/0.95 (assume @p198 (forall (@list @t60 @t9 @t35 @t95 @t134 @t47) (not (_ @t472 (_ (_ @t454 @t134) @t47))))) % 0.51/0.95 (assume @p199 (forall (@list @t9 @t35 @t279 @t134 @t47) (not (_ @t453 (_ (_ @t280 @t134) @t47))))) % 0.51/0.95 (assume @p200 (forall (@list @t60 @t9 @t35 @t82 @t134 @t47) (=> (_ @t472 @t323) (not (_ @t216 @t82))))) % 0.51/0.95 (assume @p201 (forall @t437 (not (_ @t473 @t409)))) % 0.51/0.95 (assume @p202 (forall (@list @t35 @t50 @t47 @t434) (=> (_ @t473 @t53) (=> (=> (= @t50 tptp.late_TauR) (=> @t436 (_ (_ @t434 tptp.late_TauR) @t35))) @t435)))) % 0.51/0.95 (assume @p203 (forall (@list @t35 @t338) (=> (_ @t473 @t338) (not (forall @t475 (=> (= @t452 (_ tptp.tau @t315)) (not (= @t338 (_ @t24 @t315))))))))) % 0.51/0.95 (assume @p204 (forall (@list @t35) (_ @t473 (_ @t24 @t35)))) % 0.51/0.95 (assume @p205 (forall (@list @t60 @t478 @t250 @t74) (= (_ @t259 @t479) (and (_ @t216 @t478) @t477)))) % 0.51/0.95 (assume @p206 (forall @t483 (= (_ (_ (_ tptp.subs @t248) @t34) @t33) (_ (_ (_ tptp.output @t482) @t480) @t37)))) % 0.51/0.95 (assume @p207 (forall (@list @t9 @t95 @t34 @t60 @t35) (=> @t403 (=> @t40 (= (_ (_ @t484 @t95) @t34) (_ (_ (_ tptp.input (_ (_ @t481 @t95) @t34)) @t9) @t131)))))) % 0.51/0.95 (assume @p208 (forall (@list @t9 @t60 @t34 @t33 @t35) (=> @t380 (=> @t40 (=> @t39 (= (_ (_ @t484 @t34) @t33) (_ (_ (_ tptp.input @t482) @t9) @t37))))))) % 0.51/0.95 (assume @p209 (forall (@list @t60 @t250 @t74) (= (_ @t114 @t485) @t477))) % 0.51/0.95 (assume @p210 (forall (@list @t60 @t261 @t250 @t74) (= (_ @t114 @t486) (and @t262 @t477)))) % 0.51/0.95 (assume @p211 (forall (@list @t261 @t250 @t74 @t266 @t255 @t73) (= (= @t486 (_ (_ (_ tptp.input @t266) @t255) @t73)) (and @t267 @t487)))) % 0.51/0.95 (assume @p212 (forall (@list @t60 @t9 @t134) (= (= @t489 (_ @t488 @t134)) @t376))) % 0.51/0.95 (assume @p213 (forall @t228 (= (= @t491 (_ @t490 @t220)) (= @t125 @t220)))) % 0.51/0.95 (assume @p214 (forall @t219 (= (= @t493 (_ @t492 @t215)) (= @t122 @t215)))) % 0.51/0.95 (assume @p215 (forall @t244 (= (= @t495 (_ @t494 @t225)) (= @t126 @t225)))) % 0.51/0.95 (assume @p216 (forall (@list @t95 @t60 @t122) (= (_ (_ tptp.fresh_728038529ubject @t95) @t493) (or @t496 (_ (_ tptp.fresh_717452603ubject @t95) @t122))))) % 0.51/0.95 (assume @p217 (forall (@list @t95 @t60 @t125) (= (_ (_ tptp.fresh_785364841reeRes @t95) @t491) (or @t496 (_ @t289 @t125))))) % 0.51/0.95 (assume @p218 (forall (@list @t95 @t60 @t9) (= (_ (_ tptp.fresh_1093033124n_name @t95) @t489) (or @t496 (_ (_ tptp.fresh_name_name @t95) @t9))))) % 0.51/0.95 (assume @p219 (forall (@list @t95 @t60 @t126) (= (_ (_ tptp.fresh_543891186ion_pi @t95) @t495) (or @t496 (_ @t120 @t126))))) % 0.51/0.95 (assume @p220 (forall (@list @t478 @t250 @t74 @t497 @t255 @t73) (= (= @t479 (_ (_ (_ tptp.late_BoundR @t497) @t255) @t73)) (and (= @t478 @t497) @t487)))) % 0.51/0.95 (assume @p221 (forall (@list @t250 @t74 @t255 @t73) (= (= @t485 (_ (_ tptp.res @t255) @t73)) @t487))) % 0.51/0.95 (assume @p222 (forall @t433 (=> (_ (_ tptp.late_transitions (_ (_ @t455 @t95) @t35)) @t338) (not (forall (@list @t309 @t427 @t315) (=> (and @t431 (= (_ (_ tptp.abs_fun_name_pi @t95) @t35) (_ (_ tptp.abs_fun_name_pi @t309) @t315))) (=> (= @t338 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t427)) @t309) @t315)) (= @t309 @t427)))))))) % 0.51/0.95 (assume @p223 (forall (@list @t498 @t41 @t9 @t35 @t511) (=> @t518 (=> @t517 (=> (forall @t515 (=> @t514 (=> @t513 (=> @t512 (=> (_ @t438 @t511) @t510))))) @t506))))) % 0.51/0.95 (assume @p224 (forall (@list @t498 @t41 @t9 @t35 @t519) (=> @t518 (=> @t517 (=> (forall @t515 (=> @t514 (=> @t513 (=> @t512 (=> (_ @t389 @t519) @t510))))) @t506))))) % 0.51/0.95 (assume @p225 (forall (@list @t498 @t41 @t9 @t35 @t520) (=> @t518 (=> @t517 (=> (forall @t515 (=> @t514 (=> @t513 (=> @t512 (=> (_ (_ tptp.fresh_name_name @t201) @t520) @t510))))) @t506))))) % 0.51/0.95 (assume @p226 (forall (@list @t498 @t41 @t9 @t35 @t521) (=> @t518 (=> @t517 (=> (forall @t515 (=> @t514 (=> @t513 (=> @t512 (=> (_ @t522 @t521) @t510))))) @t506))))) % 0.51/0.95 (assume @p227 (forall (@list @t498 @t35 @t41) (=> (forall (@list @t525 @t523) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par @t525) @t523)) (_ (_ tptp.par @t523) @t525))) @t498)) (=> (forall (@list @t525 @t523 @t309) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t525) @t523)) @t498) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t524 @t525)) (_ @t524 @t523))) @t498))) (_ (_ (_ tptp.strong743114133lation @t44) @t498) (_ (_ tptp.par @t41) @t35)))))) % 0.51/0.95 (assume @p228 (forall (@list @t35 @t498 @t41 @t279 @t9 @t56) (=> @t526 (=> @t336 (=> @t333 (exists @t386 (and @t401 (_ (_ (_ (_ (_ tptp.strong2129052853vative @t325) @t56) @t279) @t9) @t498)))))))) % 0.51/0.95 (assume @p229 (forall (@list @t35 @t498 @t41 @t50 @t56) (=> @t526 (=> @t59 (exists @t386 (and @t385 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t325) @t56)) @t498))))))) % 0.51/0.95 (assume @p230 (forall (@list @t498 @t41 @t35 @t511) (=> @t518 (=> (forall @t533 (=> @t532 (=> @t531 (=> @t530 (=> @t311 (=> (_ @t310 @t511) @t529)))))) @t527)))) % 0.51/0.95 (assume @p231 (forall (@list @t498 @t41 @t35 @t519) (=> @t518 (=> (forall @t533 (=> @t532 (=> @t531 (=> @t530 (=> @t311 (=> (_ (_ tptp.fresh_1641682979reeRes @t309) @t519) @t529)))))) @t527)))) % 0.51/0.95 (assume @p232 (forall (@list @t498 @t41 @t35 @t520) (=> @t518 (=> (forall @t533 (=> @t532 (=> @t531 (=> @t530 (=> @t311 (=> (_ (_ tptp.fresh_name_name @t309) @t520) @t529)))))) @t527)))) % 0.51/0.95 (assume @p233 (forall (@list @t498 @t41 @t35 @t521) (=> @t518 (=> (forall @t533 (=> @t532 (=> @t531 (=> @t530 (=> @t311 (=> (_ @t314 @t521) @t529)))))) @t527)))) % 0.51/0.95 (assume @p234 (forall (@list @t41 @t35 @t498) (=> (forall (@list @t308 @t201 @t318) (=> @t514 (=> (_ @t522 @t35) (exists @t504 (and @t509 (_ (_ @t528 @t201) @t498)))))) @t527))) % 0.51/0.95 (assume @p235 (forall @t537 (=> (forall @t536 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t313) @t535)) @t498)) (_ @t499 @t534)))) % 0.51/0.95 (assume @p236 (forall @t537 (=> (forall @t536 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t535) @t313)) @t498)) (_ (_ (_ tptp.strong743114133lation @t534) @t498) @t35)))) % 0.51/0.95 (assume @p237 (forall @t483 (= (_ (_ (_ tptp.subs @t538) @t34) @t33) (_ (_ (_ tptp.match @t482) @t480) @t37)))) % 0.51/0.95 (assume @p238 (forall @t258 (_ @t114 tptp.piNil))) % 0.51/0.95 (assume @p239 (forall (@list @t34 @t33) (= (_ (_ (_ tptp.subs tptp.piNil) @t34) @t33) tptp.piNil))) % 0.51/0.95 (assume @p240 (forall @t265 (= (_ @t114 @t539) @t263))) % 0.51/0.95 (assume @p241 (forall (@list @t60 @t95 @t498 @t35) (=> @t129 (_ @t540 @t538)))) % 0.51/0.95 (assume @p242 (forall (@list @t35 @t498) (_ @t499 tptp.piNil))) % 0.51/0.95 (assume @p243 (forall @t468 (not (= @t466 @t541)))) % 0.51/0.95 (assume @p244 (forall @t542 (not (= tptp.piNil @t463)))) % 0.51/0.95 (assume @p245 (forall @t547 (=> @t546 (=> (=> @t339 (=> @t128 (_ @t544 @t60))) @t545)))) % 0.51/0.95 (assume @p246 (forall @t433 (=> @t546 @t128))) % 0.51/0.95 (assume @p247 (forall @t433 (=> @t546 (not (forall @t475 (=> (and @t496 @t430) (not @t548))))))) % 0.51/0.95 (assume @p248 (forall (@list @t35 @t338 @t95) (=> @t339 (_ (_ tptp.late_transitions (_ (_ (_ tptp.match @t95) @t95) @t35)) @t338)))) % 0.51/0.95 (assume @p249 (forall (@list @t338) (not (_ (_ tptp.late_transitions tptp.piNil) @t338)))) % 0.51/0.95 (assume @p250 (forall @t306 (not (= @t549 @t302)))) % 0.51/0.95 (assume @p251 (forall @t307 (not (= @t549 @t210)))) % 0.51/0.95 (assume @p252 (forall (@list @t301 @t300) (not (= tptp.piNil @t302)))) % 0.51/0.95 (assume @p253 (forall (@list @t209 @t208) (not (= tptp.piNil @t210)))) % 0.51/0.95 (assume @p254 (forall @t542 (not (= tptp.piNil @t541)))) % 0.51/0.95 (assume @p255 (forall @t269 (= (= @t539 (_ (_ (_ tptp.match @t266) @t70) @t78)) @t268))) % 0.51/0.95 (assume @p256 (forall (@list @t208) (not (= tptp.piNil @t469)))) % 0.51/0.95 (assume @p257 (forall @t465 (not (= @t464 @t541)))) % 0.51/0.95 (assume @p258 (forall @t542 (not (= tptp.piNil (_ (_ (_ tptp.output @t462) @t461) @t208))))) % 0.51/0.95 (assume @p259 (forall @t468 (not (= @t305 @t541)))) % 0.51/0.95 (assume @p260 (forall (@list @t9 @t338) (not (_ (_ tptp.late_transitions (_ @t10 tptp.piNil)) @t338)))) % 0.51/0.95 (assume @p261 (forall (@list @t498 @t60 @t9 @t35) (not (_ @t540 @t471)))) % 0.51/0.95 (assume @p262 (forall (@list @t498 @t60 @t95 @t35) (not (_ @t540 @t248)))) % 0.51/0.95 (assume @p263 (forall @t537 (not (_ @t540 @t452)))) % 0.51/0.95 (assume @p264 (forall @t483 (= (_ (_ (_ tptp.subs @t551) @t34) @t33) (_ (_ (_ tptp.mismatch @t482) @t480) @t37)))) % 0.51/0.95 (assume @p265 (forall @t265 (= (_ @t114 @t552) @t263))) % 0.51/0.95 (assume @p266 (forall @t542 (not (= tptp.piNil @t553)))) % 0.51/0.95 (assume @p267 (forall @t468 (not (= @t549 @t553)))) % 0.51/0.95 (assume @p268 (forall @t468 (not (= @t305 @t553)))) % 0.51/0.95 (assume @p269 (forall @t465 (not (= @t464 @t553)))) % 0.51/0.95 (assume @p270 (forall @t269 (= (= @t552 (_ (_ (_ tptp.mismatch @t266) @t70) @t78)) @t268))) % 0.51/0.95 (assume @p271 (forall @t307 (not (= @t554 @t210)))) % 0.51/0.95 (assume @p272 (forall @t306 (not (= @t554 @t302)))) % 0.51/0.95 (assume @p273 (forall (@list @t35 @t338 @t60 @t95) (=> @t339 (=> @t129 @t555)))) % 0.51/0.95 (assume @p274 (forall @t433 (=> @t555 (not (forall @t451 (=> @t432 (=> @t548 @t446))))))) % 0.51/0.95 (assume @p275 (forall (@list @t60 @t35 @t338) (not (_ (_ tptp.late_transitions @t556) @t338)))) % 0.51/0.95 (assume @p276 (forall @t547 (=> @t555 (=> (=> @t339 (=> @t129 @t545)) @t545)))) % 0.51/0.95 (assume @p277 (forall @t468 (not (= @t466 @t553)))) % 0.51/0.95 (assume @p278 (forall (@list @t498 @t60 @t35) (_ @t540 @t556))) % 0.51/0.95 (assume @p279 (forall (@list @t557 @t340 @t292) (=> (forall (@list @t342) (_ @t559 tptp.piNil)) (=> (forall @t574 (=> @t563 (_ @t559 @t580))) (=> (forall @t564 (=> @t563 (_ @t559 @t579))) (=> (forall @t574 (=> (_ (_ tptp.fresh_717452603ubject @t425) @t342) (=> @t578 (=> @t563 (_ @t559 @t576))))) (=> (forall @t574 (=> @t563 (_ @t559 @t575))) (=> (forall @t574 (=> @t563 (_ @t559 @t573))) (=> (forall @t571 (=> @t570 (=> @t569 (_ @t559 @t572)))) (=> (forall @t571 (=> @t570 (=> @t569 (_ @t559 @t568)))) (=> (forall (@list @t273 @t295 @t342) (=> @t346 (=> @t563 (_ @t559 @t565)))) (=> (forall @t564 (=> @t563 (_ @t559 @t558))) (_ (_ @t557 @t340) @t292))))))))))))) % 0.51/0.95 (assume @p280 (forall (@list @t581 @t347 @t292) (=> (forall (@list @t349) (_ @t582 tptp.piNil)) (=> (forall @t591 (=> @t586 (_ @t582 @t580))) (=> (forall @t587 (=> @t586 (_ @t582 @t579))) (=> (forall @t591 (=> (_ (_ tptp.fresh_1641682979reeRes @t425) @t349) (=> @t578 (=> @t586 (_ @t582 @t576))))) (=> (forall @t591 (=> @t586 (_ @t582 @t575))) (=> (forall @t591 (=> @t586 (_ @t582 @t573))) (=> (forall @t590 (=> @t589 (=> @t588 (_ @t582 @t572)))) (=> (forall @t590 (=> @t589 (=> @t588 (_ @t582 @t568)))) (=> (forall (@list @t273 @t295 @t349) (=> @t351 (=> @t586 (_ @t582 @t565)))) (=> (forall @t587 (=> @t586 (_ @t582 @t558))) (_ (_ @t581 @t347) @t292))))))))))))) % 0.51/0.95 (assume @p281 (forall (@list @t592 @t352 @t292) (=> (forall (@list @t354) (_ @t593 tptp.piNil)) (=> (forall @t602 (=> @t597 (_ @t593 @t580))) (=> (forall @t598 (=> @t597 (_ @t593 @t579))) (=> (forall @t602 (=> (_ @t577 @t354) (=> @t578 (=> @t597 (_ @t593 @t576))))) (=> (forall @t602 (=> @t597 (_ @t593 @t575))) (=> (forall @t602 (=> @t597 (_ @t593 @t573))) (=> (forall @t601 (=> @t600 (=> @t599 (_ @t593 @t572)))) (=> (forall @t601 (=> @t600 (=> @t599 (_ @t593 @t568)))) (=> (forall (@list @t273 @t295 @t354) (=> @t356 (=> @t597 (_ @t593 @t565)))) (=> (forall @t598 (=> @t597 (_ @t593 @t558))) (_ (_ @t592 @t352) @t292))))))))))))) % 0.51/0.95 (assume @p282 (forall (@list @t603 @t357 @t292) (=> (forall (@list @t359) (_ @t604 tptp.piNil)) (=> (forall @t613 (=> @t608 (_ @t604 @t580))) (=> (forall @t609 (=> @t608 (_ @t604 @t579))) (=> (forall @t613 (=> (_ (_ tptp.fresh_name_pi @t425) @t359) (=> @t578 (=> @t608 (_ @t604 @t576))))) (=> (forall @t613 (=> @t608 (_ @t604 @t575))) (=> (forall @t613 (=> @t608 (_ @t604 @t573))) (=> (forall @t612 (=> @t611 (=> @t610 (_ @t604 @t572)))) (=> (forall @t612 (=> @t611 (=> @t610 (_ @t604 @t568)))) (=> (forall (@list @t273 @t295 @t359) (=> @t361 (=> @t608 (_ @t604 @t565)))) (=> (forall @t609 (=> @t608 (_ @t604 @t558))) (_ (_ @t603 @t357) @t292))))))))))))) % 0.51/0.95 (assume @p283 (forall @t458 (= (_ @t114 @t614) @t115))) % 0.51/0.95 (assume @p284 (forall @t118 (= (_ @t114 @t615) @t116))) % 0.51/0.95 (assume @p285 (forall @t459 (= (_ (_ (_ tptp.subs (_ tptp.bang @t35)) @t34) @t33) (_ tptp.bang @t37)))) % 0.51/0.95 (assume @p286 (forall @t45 (= (_ (_ (_ tptp.subs @t616) @t34) @t33) (_ (_ tptp.sum @t37) @t42)))) % 0.51/0.95 (assume @p287 (forall @t470 (not (= @t554 @t617)))) % 0.51/0.95 (assume @p288 (forall @t306 (not (= @t554 @t618)))) % 0.51/0.95 (assume @p289 (forall @t470 (not (= @t466 @t617)))) % 0.51/0.95 (assume @p290 (forall @t306 (not (= @t466 @t618)))) % 0.51/0.95 (assume @p291 (forall (@list @t292 @t208) (not (= @t464 @t617)))) % 0.51/0.95 (assume @p292 (forall @t467 (not (= @t464 @t618)))) % 0.51/0.95 (assume @p293 (forall (@list @t212 @t211 @t301 @t300) (not (= @t619 @t302)))) % 0.51/0.95 (assume @p294 (forall @t213 (not (= @t619 @t210)))) % 0.51/0.95 (assume @p295 (forall @t306 (not (= @t305 @t618)))) % 0.51/0.95 (assume @p296 (forall (@list @t212 @t211 @t208) (not (= @t619 @t617)))) % 0.51/0.95 (assume @p297 (forall @t206 (= (= @t615 (_ (_ tptp.sum @t73) @t78)) @t205))) % 0.51/0.95 (assume @p298 (forall @t460 (= (= @t614 (_ tptp.bang @t78)) @t80))) % 0.51/0.95 (assume @p299 (forall (@list @t35 @t41 @t338) (=> @t621 (=> (not @t339) @t620)))) % 0.51/0.95 (assume @p300 (forall (@list @t35 @t338 @t41) (=> @t339 @t621))) % 0.51/0.95 (assume @p301 (forall (@list @t41 @t338 @t35) (=> @t620 @t621))) % 0.51/0.95 (assume @p302 (forall @t470 (not (= @t305 @t617)))) % 0.51/0.95 (assume @p303 (forall (@list @t270 @t292 @t208) (not (= (_ (_ tptp.res @t270) @t292) @t617)))) % 0.51/0.95 (assume @p304 (forall (@list @t622) (or (= @t622 true) (= @t622 false)))) % 0.51/0.95 (assume @p305 (forall @t623 (= (_ (_ (_ tptp.if_name false) @t9) @t134) @t134))) % 0.51/0.95 (assume @p306 (forall @t623 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tptp.product_Pair_pi_pi @t675) @t654) @t678))) % 0.51/0.95 (step @p538 :rule symm :premises (@p537)) % 0.51/0.95 (step @p539 :rule refl :args (@t22)) % 0.51/0.95 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 0.51/0.95 (step @p541 :rule refl :args (tptp.y)) % 0.51/0.95 (step @p542 :rule refl :args (tptp.x)) % 0.51/0.95 (step @p543 :rule refl :args (tptp.subs)) % 0.51/0.95 (step @p544 :rule ho_cong :premises (@p543 @p379)) % 0.51/0.95 (step @p545 :rule ho_cong :premises (@p544 @p542)) % 0.51/0.95 (step @p546 :rule ho_cong :premises (@p545 @p541)) % 0.51/0.95 (step @p547 :rule trans :premises (@p546 @p375)) % 0.51/0.95 (step @p548 :rule ho_cong :premises (@p493 @p547)) % 0.51/0.95 (step @p549 :rule trans :premises (@p548 @p367)) % 0.51/0.95 (step @p550 :rule ho_cong :premises (@p496 @p549)) % 0.51/0.95 (step @p551 :rule trans :premises (@p550 @p361)) % 0.51/0.95 (step @p552 :rule refl :args (tptp.product_Pair_pi_pi)) % 0.51/0.95 (step @p553 :rule ho_cong :premises (@p552 @p502)) % 0.51/0.95 (step @p554 :rule ho_cong :premises (@p553 @p551)) % 0.51/0.95 (step @p555 :rule trans :premises (@p554 @p540)) % 0.51/0.95 (step @p556 :rule refl :args (tptp.member558706512_pi_pi)) % 0.51/0.95 (step @p557 :rule ho_cong :premises (@p556 @p555)) % 0.51/0.95 (step @p558 :rule ho_cong :premises (@p557 @p533)) % 0.51/0.95 (step @p559 :rule trans :premises (@p558 @p532)) % 0.51/0.95 (step @p560 :rule eq_resolve :premises (@p7 @p559)) % 0.51/0.95 (step @p561 :rule cnf_or_pos :args (@t682)) % 0.51/0.95 (step @p562 :rule reordering :premises (@p561) :args ((or @t680 @t681 @t683))) % 0.51/0.95 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p520) :args (@t683 (@list false false) (@list @t679 @t677))) % 0.51/0.95 (assume-push @p570 @t684) % 0.51/0.95 (step @p565 :rule instantiate :premises (@p443) :args ((@list @t675))) % 0.51/0.95 (step-pop @p571 :rule scope :premises (@p565)) % 0.51/0.95 (step @p566 :rule process_scope :premises (@p571) :args (@t682)) % 0.51/0.95 (step @p568 :rule implies_elim :premises (@p566)) % 0.51/0.95 (step @p569 false :rule chain_m_resolution :premises (@p568 @p563 @p443) :args (false (@list true false) (@list @t682 @t684))) % 0.51/0.95 ) % 0.51/0.95 % SZS output end Proof % 0.51/0.95 % cvc5 exiting %------------------------------------------------------------------------------