%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP188^1 : 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 : n001.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 0.49s 0.95s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP188^1 : 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 % 0.16/0.35 % Computer : n001.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 04:19:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.48/0.64 %----Proving TH0 % 0.49/0.95 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.49/0.95 % SZS status Theorem % 0.49/0.95 % SZS output start Proof % 0.49/0.95 ( % 0.49/0.95 (declare-sort tptp.pi 0) % 0.49/0.95 (declare-sort tptp.late_freeRes 0) % 0.49/0.95 (declare-sort tptp.name 0) % 0.49/0.95 (declare-sort tptp.noption_name 0) % 0.49/0.95 (declare-sort tptp.noptio1575811931_pi_pi 0) % 0.49/0.95 (declare-sort tptp.noption_Late_freeRes 0) % 0.49/0.95 (declare-sort tptp.produc1141751126_pi_pi 0) % 0.49/0.95 (declare-sort tptp.noption_pi 0) % 0.49/0.95 (declare-sort tptp.produc1462499409ion_pi 0) % 0.49/0.95 (declare-sort tptp.produc405342261i_name 0) % 0.49/0.95 (declare-sort tptp.produc2008547984reeRes 0) % 0.49/0.95 (declare-sort tptp.set_Pr1834926343_pi_pi 0) % 0.49/0.95 (declare-sort tptp.late_residual 0) % 0.49/0.95 (declare-sort tptp.produc53907987_pi_pi 0) % 0.49/0.95 (declare-sort tptp.product_prod_pi_name 0) % 0.49/0.95 (declare-sort tptp.produc367475239e_name 0) % 0.49/0.95 (declare-sort tptp.produc629157763_pi_pi 0) % 0.49/0.95 (declare-sort tptp.product_prod_name_pi 0) % 0.49/0.95 (declare-sort tptp.produc1834551554reeRes 0) % 0.49/0.95 (declare-sort tptp.product_prod_pi_pi 0) % 0.49/0.95 (declare-sort tptp.late_subject 0) % 0.49/0.95 (declare-sort tptp.produc992857746Res_pi 0) % 0.49/0.95 (declare-sort tptp.produc649380958reeRes 0) % 0.49/0.95 (declare-sort tptp.produc2052722628s_name 0) % 0.49/0.95 (declare-sort tptp.produc1357834675reeRes 0) % 0.49/0.95 (declare-const tptp.product_Pair_pi_pi (-> tptp.pi tptp.pi tptp.product_prod_pi_pi)) % 0.49/0.95 (declare-const tptp.member558706512_pi_pi (-> tptp.product_prod_pi_pi tptp.set_Pr1834926343_pi_pi Bool)) % 0.49/0.95 (declare-const tptp.late_FreeR (-> tptp.late_freeRes tptp.pi tptp.late_residual)) % 0.49/0.95 (declare-const tptp.late_transitions (-> tptp.pi tptp.late_residual Bool)) % 0.49/0.95 (declare-const tptp.strong2129052853vative (-> tptp.pi tptp.pi tptp.late_subject tptp.name tptp.set_Pr1834926343_pi_pi Bool)) % 0.49/0.95 (declare-const tptp.late_BoundR (-> tptp.late_subject tptp.name tptp.pi tptp.late_residual)) % 0.49/0.95 (declare-const tptp.fresh_name_pi (-> tptp.name tptp.pi Bool)) % 0.49/0.95 (declare-const tptp.if_name (-> Bool tptp.name tptp.name tptp.name)) % 0.49/0.95 (declare-const tptp.bang (-> tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.match (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.mismatch (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.late_InputS (-> tptp.name tptp.late_subject)) % 0.49/0.95 (declare-const tptp.fresh_1093033124n_name (-> tptp.name (-> tptp.name tptp.noption_name) Bool)) % 0.49/0.95 (declare-const tptp.fresh_2065563522_pi_pi (-> tptp.name (-> tptp.name tptp.noptio1575811931_pi_pi) Bool)) % 0.49/0.95 (declare-const tptp.fresh_785364841reeRes (-> tptp.name (-> tptp.name tptp.noption_Late_freeRes) Bool)) % 0.49/0.95 (declare-const tptp.fresh_2007541374s_name (-> tptp.name tptp.produc2052722628s_name Bool)) % 0.49/0.95 (declare-const tptp.late_BoundOutputS (-> tptp.name tptp.late_subject)) % 0.49/0.95 (declare-const tptp.produc1701355766s_name (-> tptp.late_freeRes tptp.name tptp.produc2052722628s_name)) % 0.49/0.95 (declare-const tptp.fresh_493808761reeRes (-> tptp.name tptp.produc1357834675reeRes Bool)) % 0.49/0.95 (declare-const tptp.produc1244821099reeRes (-> tptp.late_freeRes tptp.late_freeRes tptp.produc1357834675reeRes)) % 0.49/0.95 (declare-const tptp.fresh_1641682979reeRes (-> tptp.name tptp.late_freeRes Bool)) % 0.49/0.95 (declare-const tptp.produc1177552196Res_pi (-> tptp.late_freeRes tptp.pi tptp.produc992857746Res_pi)) % 0.49/0.95 (declare-const tptp.fresh_717452603ubject (-> tptp.name tptp.late_subject Bool)) % 0.49/0.95 (declare-const tptp.fresh_1376661020_pi_pi (-> tptp.name tptp.produc1141751126_pi_pi Bool)) % 0.49/0.95 (declare-const tptp.produc235456326_pi_pi (-> tptp.name tptp.product_prod_pi_pi tptp.produc1141751126_pi_pi)) % 0.49/0.95 (declare-const tptp.produc1342893193ion_pi (-> (-> tptp.name tptp.noption_pi) (-> tptp.name tptp.noption_pi) tptp.produc1462499409ion_pi)) % 0.49/0.95 (declare-const tptp.collec1051790738_pi_pi (-> (-> tptp.product_prod_pi_pi Bool) tptp.set_Pr1834926343_pi_pi)) % 0.49/0.95 (declare-const tptp.fresh_253309757_pi_pi (-> tptp.name tptp.produc629157763_pi_pi Bool)) % 0.49/0.95 (declare-const tptp.produc1820286517_pi_pi (-> (-> tptp.name tptp.noption_pi) tptp.pi tptp.produc629157763_pi_pi)) % 0.49/0.95 (declare-const tptp.sum (-> tptp.pi tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.u tptp.name) % 0.49/0.95 (declare-const tptp.late_OutputR (-> tptp.name tptp.name tptp.late_freeRes)) % 0.49/0.95 (declare-const tptp.fresh_261416607i_name (-> tptp.name tptp.product_prod_pi_name Bool)) % 0.49/0.95 (declare-const tptp.late_TauR tptp.late_freeRes) % 0.49/0.95 (declare-const tptp.input (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.fresh_975559885_pi_pi (-> tptp.name tptp.produc53907987_pi_pi Bool)) % 0.49/0.95 (declare-const tptp.produc1275980869_pi_pi (-> (-> tptp.name tptp.noption_pi) tptp.produc1141751126_pi_pi tptp.produc53907987_pi_pi)) % 0.49/0.95 (declare-const tptp.y tptp.name) % 0.49/0.95 (declare-const tptp.aa tptp.late_subject) % 0.49/0.95 (declare-const tptp.res (-> tptp.name tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.fresh_1963366730reeRes (-> tptp.name tptp.produc2008547984reeRes Bool)) % 0.49/0.95 (declare-const tptp.eqvt_pi (-> tptp.set_Pr1834926343_pi_pi Bool)) % 0.49/0.95 (declare-const tptp.subs (-> tptp.pi tptp.name tptp.name tptp.pi)) % 0.49/0.95 (declare-const tptp.output (-> tptp.name tptp.name tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.p tptp.pi) % 0.49/0.95 (declare-const tptp.p2 tptp.pi) % 0.49/0.95 (declare-const tptp.fresh_93646139ame_pi (-> tptp.name tptp.product_prod_name_pi Bool)) % 0.49/0.95 (declare-const tptp.rel tptp.set_Pr1834926343_pi_pi) % 0.49/0.95 (declare-const tptp.produc540578151i_name (-> (-> tptp.name tptp.noption_pi) tptp.name tptp.produc405342261i_name)) % 0.49/0.95 (declare-const tptp.produc1505598906reeRes (-> (-> tptp.name tptp.noption_pi) tptp.late_freeRes tptp.produc1834551554reeRes)) % 0.49/0.95 (declare-const tptp.fresh_1847501388Res_pi (-> tptp.name tptp.produc992857746Res_pi Bool)) % 0.49/0.95 (declare-const tptp.produc1531804426reeRes (-> tptp.name tptp.late_freeRes tptp.produc2008547984reeRes)) % 0.49/0.95 (declare-const tptp.produc1570949143e_name (-> tptp.name tptp.name tptp.produc367475239e_name)) % 0.49/0.95 (declare-const tptp.fresh_441084397e_name (-> tptp.name tptp.produc367475239e_name Bool)) % 0.49/0.95 (declare-const tptp.product_Pair_name_pi (-> tptp.name tptp.pi tptp.product_prod_name_pi)) % 0.49/0.95 (declare-const tptp.produc1638681944reeRes (-> tptp.pi tptp.late_freeRes tptp.produc649380958reeRes)) % 0.49/0.95 (declare-const tptp.fresh_1504024600reeRes (-> tptp.name tptp.produc649380958reeRes Bool)) % 0.49/0.95 (declare-const tptp.product_Pair_pi_name (-> tptp.pi tptp.name tptp.product_prod_pi_name)) % 0.49/0.95 (declare-const tptp.fresh_1627595501_pi_pi (-> tptp.name tptp.product_prod_pi_pi Bool)) % 0.49/0.95 (declare-const tptp.fresh_543891186ion_pi (-> tptp.name (-> tptp.name tptp.noption_pi) Bool)) % 0.49/0.95 (declare-const tptp.fresh_1711070152reeRes (-> tptp.name tptp.produc1834551554reeRes Bool)) % 0.49/0.95 (declare-const tptp.fresh_453496559i_name (-> tptp.name tptp.produc405342261i_name Bool)) % 0.49/0.95 (declare-const tptp.fresh_225680151ion_pi (-> tptp.name tptp.produc1462499409ion_pi Bool)) % 0.49/0.95 (declare-const tptp.par (-> tptp.pi tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.pxQ tptp.pi) % 0.49/0.95 (declare-const tptp.fresh_81631222sidual (-> tptp.name tptp.late_residual Bool)) % 0.49/0.95 (declare-const tptp.q tptp.pi) % 0.49/0.95 (declare-const tptp.piNil tptp.pi) % 0.49/0.95 (declare-const tptp.x tptp.name) % 0.49/0.95 (declare-const tptp.tau (-> tptp.pi tptp.pi)) % 0.49/0.95 (declare-const tptp.abs_fun_name_pi (-> tptp.name tptp.pi tptp.name tptp.noption_pi)) % 0.49/0.95 (declare-const tptp.abs_fun_name_name (-> tptp.name tptp.name tptp.name tptp.noption_name)) % 0.49/0.95 (declare-const tptp.abs_fu385186459_pi_pi (-> tptp.name tptp.produc1141751126_pi_pi tptp.name tptp.noptio1575811931_pi_pi)) % 0.49/0.95 (declare-const tptp.abs_fu681348580reeRes (-> tptp.name tptp.late_freeRes tptp.name tptp.noption_Late_freeRes)) % 0.49/0.95 (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 "X4" 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))))))))))))))))))))) % 0.49/0.95 (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)))))) % 0.49/0.95 (define tptp.subst_name () (let ((_let_1 (@var "A5" tptp.name))) (let ((_let_2 (@var "C4" 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)))))) % 0.49/0.95 (define @t1 () (_ (_ (_ tptp.subs tptp.q) tptp.y) tptp.u)) % 0.49/0.95 (define @t2 () (_ tptp.res tptp.x)) % 0.49/0.95 (define @t3 () (_ @t2 @t1)) % 0.49/0.95 (define @t4 () (_ @t2 tptp.q)) % 0.49/0.95 (define @t5 () (_ (_ (_ tptp.subs @t4) tptp.y) tptp.u)) % 0.49/0.95 (define @t6 () (= @t5 @t3)) % 0.49/0.95 (define @t7 () (_ (_ (_ tptp.subs tptp.p2) tptp.y) tptp.u)) % 0.49/0.95 (define @t8 () (_ tptp.fresh_name_pi tptp.x)) % 0.49/0.95 (define @t9 () (_ @t8 @t7)) % 0.49/0.95 (define @t10 () (_ tptp.par @t7)) % 0.49/0.95 (define @t11 () (_ @t10 @t1)) % 0.49/0.95 (define @t12 () (_ @t2 @t11)) % 0.49/0.95 (define @t13 () (_ (_ tptp.par tptp.p2) tptp.q)) % 0.49/0.95 (define @t14 () (_ @t2 @t13)) % 0.49/0.95 (define @t15 () (_ (_ (_ tptp.subs @t14) tptp.y) tptp.u)) % 0.49/0.95 (define @t16 () (= @t15 @t12)) % 0.49/0.95 (define @t17 () (_ tptp.fresh_name_pi tptp.y)) % 0.49/0.95 (define @t18 () (@var "S" tptp.pi)) % 0.49/0.95 (define @t19 () (@var "Y" tptp.name)) % 0.49/0.95 (define @t20 () (_ tptp.res @t19)) % 0.49/0.95 (define @t21 () (_ @t20 @t18)) % 0.49/0.95 (define @t22 () (@var "R" tptp.pi)) % 0.49/0.95 (define @t23 () (_ tptp.par @t22)) % 0.49/0.95 (define @t24 () (_ @t23 @t21)) % 0.49/0.95 (define @t25 () (_ @t23 @t18)) % 0.49/0.95 (define @t26 () (_ @t20 @t25)) % 0.49/0.95 (define @t27 () (_ (_ tptp.product_Pair_pi_pi @t26) @t24)) % 0.49/0.95 (define @t28 () (_ (_ tptp.member558706512_pi_pi @t27) tptp.rel)) % 0.49/0.95 (define @t29 () (_ tptp.fresh_name_pi @t19)) % 0.49/0.95 (define @t30 () (_ @t29 @t22)) % 0.49/0.95 (define @t31 () (@list @t19 @t22 @t18)) % 0.49/0.95 (define @t32 () (forall @t31 (=> @t30 @t28))) % 0.49/0.95 (define @t33 () (@var "Z" tptp.name)) % 0.49/0.95 (define @t34 () (_ tptp.res @t33)) % 0.49/0.95 (define @t35 () (_ tptp.par tptp.p)) % 0.49/0.95 (define @t36 () (_ @t35 @t4)) % 0.49/0.95 (define @t37 () (_ @t35 tptp.q)) % 0.49/0.95 (define @t38 () (_ @t2 @t37)) % 0.49/0.95 (define @t39 () (@var "D" tptp.name)) % 0.49/0.95 (define @t40 () (@var "C" tptp.name)) % 0.49/0.95 (define @t41 () (@var "Q" tptp.pi)) % 0.49/0.95 (define @t42 () (_ (_ (_ tptp.subs @t41) @t40) @t39)) % 0.49/0.95 (define @t43 () (@var "P" tptp.pi)) % 0.49/0.95 (define @t44 () (_ tptp.subs @t43)) % 0.49/0.95 (define @t45 () (_ (_ @t44 @t40) @t39)) % 0.49/0.95 (define @t46 () (_ tptp.par @t43)) % 0.49/0.95 (define @t47 () (_ @t46 @t41)) % 0.49/0.95 (define @t48 () (@list @t43 @t41 @t40 @t39)) % 0.49/0.95 (define @t49 () (@var "X" tptp.name)) % 0.49/0.95 (define @t50 () (_ tptp.res @t49)) % 0.49/0.95 (define @t51 () (_ @t50 @t43)) % 0.49/0.95 (define @t52 () (not (= @t49 @t39))) % 0.49/0.95 (define @t53 () (not (= @t49 @t40))) % 0.49/0.95 (define @t54 () (@var "A" tptp.name)) % 0.49/0.95 (define @t55 () (_ @t44 @t54)) % 0.49/0.95 (define @t56 () (@var "Y2" tptp.late_freeRes)) % 0.49/0.95 (define @t57 () (@var "X2" tptp.late_freeRes)) % 0.49/0.95 (define @t58 () (= @t57 @t56)) % 0.49/0.95 (define @t59 () (@var "Y1" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t60 () (@var "X1" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t61 () (= @t60 @t59)) % 0.49/0.95 (define @t62 () (@var "Y2" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t63 () (@var "X2" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t64 () (@var "Y2" tptp.name)) % 0.49/0.95 (define @t65 () (@var "X2" tptp.name)) % 0.49/0.95 (define @t66 () (= @t65 @t64)) % 0.49/0.95 (define @t67 () (@var "Y2" tptp.pi)) % 0.49/0.95 (define @t68 () (@var "X2" tptp.pi)) % 0.49/0.95 (define @t69 () (= @t68 @t67)) % 0.49/0.95 (define @t70 () (@var "Y2" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t71 () (@var "X2" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t72 () (@var "Y1" tptp.pi)) % 0.49/0.95 (define @t73 () (@var "X1" tptp.pi)) % 0.49/0.95 (define @t74 () (= @t73 @t72)) % 0.49/0.95 (define @t75 () (@var "Y2" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t76 () (@var "X2" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t77 () (@var "Y1" tptp.name)) % 0.49/0.95 (define @t78 () (@var "X1" tptp.name)) % 0.49/0.95 (define @t79 () (= @t78 @t77)) % 0.49/0.95 (define @t80 () (@var "B2" tptp.late_freeRes)) % 0.49/0.95 (define @t81 () (@var "B" tptp.late_freeRes)) % 0.49/0.95 (define @t82 () (= @t81 @t80)) % 0.49/0.95 (define @t83 () (@var "A2" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t84 () (@var "A" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t85 () (= @t84 @t83)) % 0.49/0.95 (define @t86 () (= (_ (_ tptp.produc1505598906reeRes @t84) @t81) (_ (_ tptp.produc1505598906reeRes @t83) @t80))) % 0.49/0.95 (define @t87 () (@list @t84 @t81 @t83 @t80)) % 0.49/0.95 (define @t88 () (@var "B2" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t89 () (@var "B" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t90 () (= @t89 @t88)) % 0.49/0.95 (define @t91 () (= (_ (_ tptp.produc1275980869_pi_pi @t84) @t89) (_ (_ tptp.produc1275980869_pi_pi @t83) @t88))) % 0.49/0.95 (define @t92 () (@list @t84 @t89 @t83 @t88)) % 0.49/0.95 (define @t93 () (@var "B2" tptp.name)) % 0.49/0.95 (define @t94 () (@var "B" tptp.name)) % 0.49/0.95 (define @t95 () (= @t94 @t93)) % 0.49/0.95 (define @t96 () (= (_ (_ tptp.produc540578151i_name @t84) @t94) (_ (_ tptp.produc540578151i_name @t83) @t93))) % 0.49/0.95 (define @t97 () (@list @t84 @t94 @t83 @t93)) % 0.49/0.95 (define @t98 () (@var "B2" tptp.pi)) % 0.49/0.95 (define @t99 () (@var "B" tptp.pi)) % 0.49/0.95 (define @t100 () (= @t99 @t98)) % 0.49/0.95 (define @t101 () (= (_ (_ tptp.produc1820286517_pi_pi @t84) @t99) (_ (_ tptp.produc1820286517_pi_pi @t83) @t98))) % 0.49/0.95 (define @t102 () (@list @t84 @t99 @t83 @t98)) % 0.49/0.95 (define @t103 () (@var "B2" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t104 () (@var "B" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t105 () (= @t104 @t103)) % 0.49/0.95 (define @t106 () (= (_ (_ tptp.produc1342893193ion_pi @t84) @t104) (_ (_ tptp.produc1342893193ion_pi @t83) @t103))) % 0.49/0.95 (define @t107 () (@list @t84 @t104 @t83 @t103)) % 0.49/0.95 (define @t108 () (@var "A2" tptp.pi)) % 0.49/0.95 (define @t109 () (@var "A" tptp.pi)) % 0.49/0.95 (define @t110 () (= @t109 @t108)) % 0.49/0.95 (define @t111 () (= (_ (_ tptp.product_Pair_pi_pi @t109) @t99) (_ (_ tptp.product_Pair_pi_pi @t108) @t98))) % 0.49/0.95 (define @t112 () (@list @t109 @t99 @t108 @t98)) % 0.49/0.95 (define @t113 () (@var "B2" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t114 () (@var "B" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t115 () (= @t114 @t113)) % 0.49/0.95 (define @t116 () (@var "A2" tptp.name)) % 0.49/0.95 (define @t117 () (= @t54 @t116)) % 0.49/0.95 (define @t118 () (= (_ (_ tptp.produc235456326_pi_pi @t54) @t114) (_ (_ tptp.produc235456326_pi_pi @t116) @t113))) % 0.49/0.95 (define @t119 () (@list @t54 @t114 @t116 @t113)) % 0.49/0.95 (define @t120 () (@var "Pi" tptp.pi)) % 0.49/0.95 (define @t121 () (@var "Name" tptp.name)) % 0.49/0.95 (define @t122 () (_ (_ tptp.res @t121) @t120)) % 0.49/0.95 (define @t123 () (@var "Pi2" tptp.pi)) % 0.49/0.95 (define @t124 () (@var "Pi1" tptp.pi)) % 0.49/0.95 (define @t125 () (_ (_ tptp.par @t124) @t123)) % 0.49/0.95 (define @t126 () (@list @t124 @t123 @t121 @t120)) % 0.49/0.95 (define @t127 () (_ tptp.par @t41)) % 0.49/0.95 (define @t128 () (@var "Rel" tptp.set_Pr1834926343_pi_pi)) % 0.49/0.95 (define @t129 () (@var "S2" tptp.pi)) % 0.49/0.95 (define @t130 () (@var "X3" tptp.name)) % 0.49/0.95 (define @t131 () (_ tptp.res @t130)) % 0.49/0.95 (define @t132 () (_ @t131 @t129)) % 0.49/0.95 (define @t133 () (@var "R2" tptp.pi)) % 0.49/0.95 (define @t134 () (_ tptp.par @t129)) % 0.49/0.95 (define @t135 () (_ @t55 @t94)) % 0.49/0.95 (define @t136 () (_ tptp.res @t94)) % 0.49/0.95 (define @t137 () (_ @t136 @t135)) % 0.49/0.95 (define @t138 () (_ (_ tptp.res @t54) @t43)) % 0.49/0.95 (define @t139 () (_ tptp.fresh_name_pi @t94)) % 0.49/0.95 (define @t140 () (_ @t139 @t43)) % 0.49/0.95 (define @t141 () (@list @t94 @t43 @t54)) % 0.49/0.95 (define @t142 () (_ tptp.fresh_name_pi @t54)) % 0.49/0.95 (define @t143 () (_ @t142 @t73)) % 0.49/0.95 (define @t144 () (and (_ @t142 @t68) @t143)) % 0.49/0.95 (define @t145 () (_ (_ tptp.par @t68) @t73)) % 0.49/0.95 (define @t146 () (@list @t54 @t68 @t73)) % 0.49/0.95 (define @t147 () (@var "X" tptp.late_freeRes)) % 0.49/0.95 (define @t148 () (@var "C2" tptp.name)) % 0.49/0.95 (define @t149 () (@list @t148)) % 0.49/0.95 (define @t150 () (@var "X" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t151 () (@var "X" tptp.pi)) % 0.49/0.95 (define @t152 () (= @t54 @t94)) % 0.49/0.95 (define @t153 () (not @t152)) % 0.49/0.95 (define @t154 () (@list @t54 @t94 @t43)) % 0.49/0.95 (define @t155 () (_ (_ @t44 @t94) @t40)) % 0.49/0.95 (define @t156 () (not (= @t54 @t40))) % 0.49/0.95 (define @t157 () (_ @t142 @t43)) % 0.49/0.95 (define @t158 () (@var "U" tptp.pi)) % 0.49/0.95 (define @t159 () (@var "T" tptp.pi)) % 0.49/0.95 (define @t160 () (_ (_ tptp.par @t159) @t158)) % 0.49/0.95 (define @t161 () (_ @t134 @t160)) % 0.49/0.95 (define @t162 () (_ @t134 @t159)) % 0.49/0.95 (define @t163 () (_ tptp.fresh_name_pi @t130)) % 0.49/0.95 (define @t164 () (@list @t129 @t159 @t158 @t130)) % 0.49/0.95 (define @t165 () (_ (_ tptp.par @t162) @t158)) % 0.49/0.95 (define @t166 () (@var "Prod" tptp.produc1834551554reeRes)) % 0.49/0.95 (define @t167 () (@var "P" (-> tptp.produc1834551554reeRes Bool))) % 0.49/0.95 (define @t168 () (@var "B3" tptp.late_freeRes)) % 0.49/0.95 (define @t169 () (@var "A3" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t170 () (_ (_ tptp.produc1505598906reeRes @t169) @t168)) % 0.49/0.95 (define @t171 () (@list @t169 @t168)) % 0.49/0.95 (define @t172 () (forall @t171 (_ @t167 @t170))) % 0.49/0.95 (define @t173 () (@var "Prod" tptp.produc53907987_pi_pi)) % 0.49/0.95 (define @t174 () (@var "P" (-> tptp.produc53907987_pi_pi Bool))) % 0.49/0.95 (define @t175 () (@var "B3" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t176 () (_ tptp.produc1275980869_pi_pi @t169)) % 0.49/0.95 (define @t177 () (_ @t176 @t175)) % 0.49/0.95 (define @t178 () (@list @t169 @t175)) % 0.49/0.95 (define @t179 () (forall @t178 (_ @t174 @t177))) % 0.49/0.95 (define @t180 () (@var "Prod" tptp.produc405342261i_name)) % 0.49/0.95 (define @t181 () (@var "P" (-> tptp.produc405342261i_name Bool))) % 0.49/0.95 (define @t182 () (@var "B3" tptp.name)) % 0.49/0.95 (define @t183 () (_ (_ tptp.produc540578151i_name @t169) @t182)) % 0.49/0.95 (define @t184 () (@list @t169 @t182)) % 0.49/0.95 (define @t185 () (forall @t184 (_ @t181 @t183))) % 0.49/0.95 (define @t186 () (@var "Prod" tptp.produc629157763_pi_pi)) % 0.49/0.95 (define @t187 () (@var "P" (-> tptp.produc629157763_pi_pi Bool))) % 0.49/0.95 (define @t188 () (@var "B3" tptp.pi)) % 0.49/0.95 (define @t189 () (_ (_ tptp.produc1820286517_pi_pi @t169) @t188)) % 0.49/0.95 (define @t190 () (@list @t169 @t188)) % 0.49/0.95 (define @t191 () (forall @t190 (_ @t187 @t189))) % 0.49/0.95 (define @t192 () (@var "Prod" tptp.produc1462499409ion_pi)) % 0.49/0.95 (define @t193 () (@var "P" (-> tptp.produc1462499409ion_pi Bool))) % 0.49/0.95 (define @t194 () (@var "B3" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t195 () (_ (_ tptp.produc1342893193ion_pi @t169) @t194)) % 0.49/0.95 (define @t196 () (@list @t169 @t194)) % 0.49/0.95 (define @t197 () (forall @t196 (_ @t193 @t195))) % 0.49/0.95 (define @t198 () (@var "Prod" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t199 () (@var "P" (-> tptp.product_prod_pi_pi Bool))) % 0.49/0.95 (define @t200 () (@var "A3" tptp.pi)) % 0.49/0.95 (define @t201 () (_ (_ tptp.product_Pair_pi_pi @t200) @t188)) % 0.49/0.95 (define @t202 () (@list @t200 @t188)) % 0.49/0.95 (define @t203 () (forall @t202 (_ @t199 @t201))) % 0.49/0.95 (define @t204 () (@var "Prod" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t205 () (@var "P" (-> tptp.produc1141751126_pi_pi Bool))) % 0.49/0.95 (define @t206 () (@var "B3" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t207 () (@var "A3" tptp.name)) % 0.49/0.95 (define @t208 () (_ tptp.produc235456326_pi_pi @t207)) % 0.49/0.95 (define @t209 () (_ @t208 @t206)) % 0.49/0.95 (define @t210 () (@list @t207 @t206)) % 0.49/0.95 (define @t211 () (forall @t210 (_ @t205 @t209))) % 0.49/0.95 (define @t212 () (@var "Y" tptp.produc1834551554reeRes)) % 0.49/0.95 (define @t213 () (@var "Y" tptp.produc53907987_pi_pi)) % 0.49/0.95 (define @t214 () (@list @t213)) % 0.49/0.95 (define @t215 () (@var "Y" tptp.produc405342261i_name)) % 0.49/0.95 (define @t216 () (@var "Y" tptp.produc629157763_pi_pi)) % 0.49/0.95 (define @t217 () (@var "Y" tptp.produc1462499409ion_pi)) % 0.49/0.95 (define @t218 () (@var "Y" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t219 () (@var "Y" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t220 () (@list @t219)) % 0.49/0.95 (define @t221 () (@var "X" tptp.produc53907987_pi_pi)) % 0.49/0.95 (define @t222 () (_ @t174 @t221)) % 0.49/0.95 (define @t223 () (@var "D2" tptp.pi)) % 0.49/0.95 (define @t224 () (@var "C2" tptp.pi)) % 0.49/0.95 (define @t225 () (_ tptp.produc235456326_pi_pi @t182)) % 0.49/0.95 (define @t226 () (_ @t176 (_ @t225 (_ (_ tptp.product_Pair_pi_pi @t224) @t223)))) % 0.49/0.95 (define @t227 () (@list @t169 @t182 @t224 @t223)) % 0.49/0.95 (define @t228 () (@list @t174 @t221)) % 0.49/0.95 (define @t229 () (@var "C2" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t230 () (_ @t176 (_ @t225 @t229))) % 0.49/0.95 (define @t231 () (@list @t169 @t182 @t229)) % 0.49/0.95 (define @t232 () (_ @t208 (_ (_ tptp.product_Pair_pi_pi @t188) @t224))) % 0.49/0.95 (define @t233 () (@list @t207 @t188 @t224)) % 0.49/0.95 (define @t234 () (@var "A" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t235 () (_ tptp.collec1051790738_pi_pi @t199)) % 0.49/0.95 (define @t236 () (@var "A4" tptp.set_Pr1834926343_pi_pi)) % 0.49/0.95 (define @t237 () (@var "X4" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t238 () (@var "Q" (-> tptp.product_prod_pi_pi Bool))) % 0.49/0.95 (define @t239 () (@var "X3" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t240 () (not @t100)) % 0.49/0.95 (define @t241 () (@var "P2" tptp.produc1834551554reeRes)) % 0.49/0.95 (define @t242 () (@var "P2" tptp.produc53907987_pi_pi)) % 0.49/0.95 (define @t243 () (@var "P2" tptp.produc405342261i_name)) % 0.49/0.95 (define @t244 () (@var "P2" tptp.produc629157763_pi_pi)) % 0.49/0.95 (define @t245 () (@var "P2" tptp.produc1462499409ion_pi)) % 0.49/0.95 (define @t246 () (@var "P2" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t247 () (@var "P2" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t248 () (@var "Y3" tptp.late_freeRes)) % 0.49/0.95 (define @t249 () (@var "X3" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t250 () (@var "Y3" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t251 () (@var "Y3" tptp.name)) % 0.49/0.95 (define @t252 () (@var "Y3" tptp.pi)) % 0.49/0.95 (define @t253 () (@var "Y3" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t254 () (@var "X3" tptp.pi)) % 0.49/0.95 (define @t255 () (@var "Y3" tptp.product_prod_pi_pi)) % 0.49/0.95 (define @t256 () (and @t69 @t74)) % 0.49/0.95 (define @t257 () (@list @t68 @t73 @t67 @t72)) % 0.49/0.95 (define @t258 () (@var "Y" tptp.late_freeRes)) % 0.49/0.95 (define @t259 () (_ tptp.fresh_1641682979reeRes @t54)) % 0.49/0.95 (define @t260 () (_ @t259 @t258)) % 0.49/0.95 (define @t261 () (_ @t259 @t147)) % 0.49/0.95 (define @t262 () (@list @t54 @t147 @t258)) % 0.49/0.95 (define @t263 () (_ tptp.fresh_name_name @t54)) % 0.49/0.95 (define @t264 () (_ @t263 @t19)) % 0.49/0.95 (define @t265 () (@var "Y" tptp.pi)) % 0.49/0.95 (define @t266 () (_ @t142 @t265)) % 0.49/0.95 (define @t267 () (_ @t263 @t49)) % 0.49/0.95 (define @t268 () (@list @t54 @t49 @t19)) % 0.49/0.95 (define @t269 () (_ @t142 @t151)) % 0.49/0.95 (define @t270 () (_ tptp.fresh_1627595501_pi_pi @t54)) % 0.49/0.95 (define @t271 () (_ @t270 (_ (_ tptp.product_Pair_pi_pi @t151) @t265))) % 0.49/0.95 (define @t272 () (@list @t54 @t151 @t265)) % 0.49/0.95 (define @t273 () (_ @t270 @t218)) % 0.49/0.95 (define @t274 () (_ tptp.fresh_1376661020_pi_pi @t54)) % 0.49/0.95 (define @t275 () (_ @t274 (_ (_ tptp.produc235456326_pi_pi @t49) @t218))) % 0.49/0.95 (define @t276 () (@list @t54 @t49 @t218)) % 0.49/0.95 (define @t277 () (@var "X" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t278 () (_ tptp.fresh_543891186ion_pi @t54)) % 0.49/0.95 (define @t279 () (_ @t278 @t277)) % 0.49/0.95 (define @t280 () (_ (_ tptp.fresh_1711070152reeRes @t54) (_ (_ tptp.produc1505598906reeRes @t277) @t258))) % 0.49/0.95 (define @t281 () (@list @t54 @t277 @t258)) % 0.49/0.95 (define @t282 () (_ (_ tptp.fresh_975559885_pi_pi @t54) (_ (_ tptp.produc1275980869_pi_pi @t277) @t219))) % 0.49/0.95 (define @t283 () (@list @t54 @t277 @t219)) % 0.49/0.95 (define @t284 () (_ (_ tptp.fresh_453496559i_name @t54) (_ (_ tptp.produc540578151i_name @t277) @t19))) % 0.49/0.95 (define @t285 () (@list @t54 @t277 @t19)) % 0.49/0.95 (define @t286 () (_ (_ tptp.fresh_253309757_pi_pi @t54) (_ (_ tptp.produc1820286517_pi_pi @t277) @t265))) % 0.49/0.95 (define @t287 () (@list @t54 @t277 @t265)) % 0.49/0.95 (define @t288 () (@var "Y" (-> tptp.name tptp.noption_pi))) % 0.49/0.95 (define @t289 () (_ (_ tptp.fresh_225680151ion_pi @t54) (_ (_ tptp.produc1342893193ion_pi @t277) @t288))) % 0.49/0.95 (define @t290 () (@list @t54 @t277 @t288)) % 0.49/0.95 (define @t291 () (_ (_ tptp.late_BoundR tptp.aa) tptp.y)) % 0.49/0.95 (define @t292 () (@var "P3" tptp.pi)) % 0.49/0.95 (define @t293 () (_ @t29 @t292)) % 0.49/0.95 (define @t294 () (not (= @t19 @t49))) % 0.49/0.95 (define @t295 () (_ @t29 @t43)) % 0.49/0.95 (define @t296 () (@var "A" tptp.late_subject)) % 0.49/0.95 (define @t297 () (_ tptp.late_BoundR @t296)) % 0.49/0.95 (define @t298 () (_ @t297 @t49)) % 0.49/0.95 (define @t299 () (_ @t298 @t292)) % 0.49/0.95 (define @t300 () (_ tptp.late_transitions @t43)) % 0.49/0.95 (define @t301 () (_ @t300 @t299)) % 0.49/0.95 (define @t302 () (@list @t43 @t296 @t49 @t292 @t19)) % 0.49/0.95 (define @t303 () (@var "Rs" tptp.late_residual)) % 0.49/0.95 (define @t304 () (_ tptp.fresh_name_pi @t49)) % 0.49/0.95 (define @t305 () (_ @t304 @t43)) % 0.49/0.95 (define @t306 () (_ @t300 @t303)) % 0.49/0.95 (define @t307 () (@var "PQ" tptp.pi)) % 0.49/0.95 (define @t308 () (@var "Prop" (-> tptp.pi Bool))) % 0.49/0.95 (define @t309 () (@var "Q2" tptp.pi)) % 0.49/0.95 (define @t310 () (_ tptp.late_transitions @t41)) % 0.49/0.95 (define @t311 () (@var "P4" tptp.pi)) % 0.49/0.95 (define @t312 () (_ tptp.par @t311)) % 0.49/0.95 (define @t313 () (_ @t300 (_ @t298 @t311))) % 0.49/0.95 (define @t314 () (@list @t311)) % 0.49/0.95 (define @t315 () (_ @t304 @t41)) % 0.49/0.95 (define @t316 () (_ tptp.late_transitions @t47)) % 0.49/0.95 (define @t317 () (@var "Q3" tptp.pi)) % 0.49/0.95 (define @t318 () (_ @t46 @t317)) % 0.49/0.95 (define @t319 () (_ @t316 (_ @t298 @t318))) % 0.49/0.95 (define @t320 () (_ @t310 (_ @t298 @t317))) % 0.49/0.95 (define @t321 () (@list @t41 @t296 @t49 @t317 @t43)) % 0.49/0.95 (define @t322 () (_ tptp.par @t292)) % 0.49/0.95 (define @t323 () (_ @t322 @t41)) % 0.49/0.95 (define @t324 () (_ @t316 (_ @t298 @t323))) % 0.49/0.95 (define @t325 () (@list @t43 @t296 @t49 @t292 @t41)) % 0.49/0.95 (define @t326 () (_ @t20 @t292)) % 0.49/0.95 (define @t327 () (_ tptp.late_transitions (_ @t20 @t43))) % 0.49/0.95 (define @t328 () (_ @t327 (_ @t298 @t326))) % 0.49/0.95 (define @t329 () (_ (_ tptp.fresh_717452603ubject @t19) @t296)) % 0.49/0.95 (define @t330 () (_ tptp.fresh_717452603ubject @t49)) % 0.49/0.95 (define @t331 () (_ @t330 @t296)) % 0.49/0.95 (define @t332 () (@var "A3" tptp.late_subject)) % 0.49/0.95 (define @t333 () (_ (_ tptp.fresh_717452603ubject @t130) @t332)) % 0.49/0.95 (define @t334 () (not @t333)) % 0.49/0.95 (define @t335 () (@var "Q4" tptp.pi)) % 0.49/0.95 (define @t336 () (@var "P5" tptp.pi)) % 0.49/0.95 (define @t337 () (_ @t163 @t336)) % 0.49/0.95 (define @t338 () (=> @t337 (=> (_ @t163 @t335) @t334))) % 0.49/0.95 (define @t339 () (_ tptp.late_BoundR @t332)) % 0.49/0.95 (define @t340 () (_ @t339 @t130)) % 0.49/0.95 (define @t341 () (_ @t340 @t309)) % 0.49/0.95 (define @t342 () (_ tptp.par @t336)) % 0.49/0.95 (define @t343 () (@var "B" tptp.late_subject)) % 0.49/0.95 (define @t344 () (_ (_ (_ tptp.late_BoundR @t343) @t19) @t292)) % 0.49/0.95 (define @t345 () (= @t47 (_ @t342 @t335))) % 0.49/0.95 (define @t346 () (_ tptp.late_transitions @t336)) % 0.49/0.95 (define @t347 () (_ @t346 (_ @t340 @t311))) % 0.49/0.95 (define @t348 () (_ (_ tptp.strong743114133lation @t43) @t128)) % 0.49/0.95 (define @t349 () (_ @t348 @t41)) % 0.49/0.95 (define @t350 () (@var "P6" tptp.pi)) % 0.49/0.95 (define @t351 () (_ tptp.product_Pair_pi_pi @t350)) % 0.49/0.95 (define @t352 () (_ (_ tptp.member558706512_pi_pi (_ @t351 @t309)) @t128)) % 0.49/0.95 (define @t353 () (@var "Alpha" tptp.late_freeRes)) % 0.49/0.95 (define @t354 () (_ tptp.late_FreeR @t353)) % 0.49/0.95 (define @t355 () (_ @t300 (_ @t354 @t350))) % 0.49/0.95 (define @t356 () (@list @t350)) % 0.49/0.95 (define @t357 () (_ @t310 (_ @t354 @t309))) % 0.49/0.95 (define @t358 () (=> (forall (@list @t353 @t309) (=> @t357 (exists @t356 (and @t355 @t352)))) @t349)) % 0.49/0.95 (define @t359 () (_ tptp.strong2129052853vative @t350)) % 0.49/0.95 (define @t360 () (_ (_ @t359 @t309) @t332)) % 0.49/0.95 (define @t361 () (exists @t356 (and (_ @t300 (_ @t340 @t350)) (_ (_ @t360 @t130) @t128)))) % 0.49/0.95 (define @t362 () (@var "C3" tptp.late_freeRes)) % 0.49/0.95 (define @t363 () (_ @t163 @t41)) % 0.49/0.95 (define @t364 () (_ @t163 @t43)) % 0.49/0.95 (define @t365 () (_ @t310 @t341)) % 0.49/0.95 (define @t366 () (@list @t332 @t130 @t309)) % 0.49/0.95 (define @t367 () (_ tptp.eqvt_pi @t128)) % 0.49/0.95 (define @t368 () (@var "C3" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t369 () (@var "C3" tptp.name)) % 0.49/0.95 (define @t370 () (@var "C3" tptp.pi)) % 0.49/0.95 (define @t371 () (_ @t46 tptp.piNil)) % 0.49/0.95 (define @t372 () (_ (_ tptp.par @t335) tptp.piNil)) % 0.49/0.95 (define @t373 () (@list @t335)) % 0.49/0.95 (define @t374 () (@list @t128 @t43)) % 0.49/0.95 (define @t375 () (_ tptp.fresh_717452603ubject @t54)) % 0.49/0.95 (define @t376 () (_ tptp.input @t54)) % 0.49/0.95 (define @t377 () (_ (_ @t376 @t49) @t43)) % 0.49/0.95 (define @t378 () (_ tptp.late_transitions @t377)) % 0.49/0.95 (define @t379 () (_ tptp.tau @t43)) % 0.49/0.95 (define @t380 () (_ tptp.late_transitions (_ @t50 @t379))) % 0.49/0.95 (define @t381 () (@list @t54)) % 0.49/0.95 (define @t382 () (_ tptp.tau @t73)) % 0.49/0.95 (define @t383 () (@list @t54 @t73)) % 0.49/0.95 (define @t384 () (@list @t43 @t40 @t39)) % 0.49/0.95 (define @t385 () (_ (_ tptp.late_FreeR @t57) @t73)) % 0.49/0.95 (define @t386 () (_ tptp.fresh_81631222sidual @t54)) % 0.49/0.95 (define @t387 () (@var "Alpha2" tptp.late_freeRes)) % 0.49/0.95 (define @t388 () (_ tptp.late_FreeR @t387)) % 0.49/0.95 (define @t389 () (_ @t388 @t292)) % 0.49/0.95 (define @t390 () (_ (_ tptp.strong743114133lation tptp.piNil) @t128)) % 0.49/0.95 (define @t391 () (_ tptp.tau @t120)) % 0.49/0.95 (define @t392 () (@list @t120)) % 0.49/0.95 (define @t393 () (@var "Name2" tptp.name)) % 0.49/0.95 (define @t394 () (@var "Name1" tptp.name)) % 0.49/0.95 (define @t395 () (_ (_ (_ tptp.input @t394) @t393) @t120)) % 0.49/0.95 (define @t396 () (@list @t394 @t393 @t120)) % 0.49/0.95 (define @t397 () (@var "Pi3" tptp.pi)) % 0.49/0.95 (define @t398 () (_ tptp.tau @t397)) % 0.49/0.95 (define @t399 () (@list @t397 @t394 @t393 @t120)) % 0.49/0.95 (define @t400 () (@list @t73 @t72)) % 0.49/0.95 (define @t401 () (_ tptp.late_transitions (_ @t50 (_ (_ @t376 @t19) @t43)))) % 0.49/0.95 (define @t402 () (@var "FreeRes" tptp.late_freeRes)) % 0.49/0.95 (define @t403 () (@var "Name3" tptp.name)) % 0.49/0.95 (define @t404 () (@var "Subject" tptp.late_subject)) % 0.49/0.95 (define @t405 () (@var "Residual" tptp.late_residual)) % 0.49/0.95 (define @t406 () (@var "P" (-> tptp.late_residual Bool))) % 0.49/0.95 (define @t407 () (@var "Pi4" tptp.pi)) % 0.49/0.95 (define @t408 () (@var "FreeRes2" tptp.late_freeRes)) % 0.49/0.95 (define @t409 () (_ (_ tptp.late_FreeR @t408) @t407)) % 0.49/0.95 (define @t410 () (@var "Name4" tptp.name)) % 0.49/0.95 (define @t411 () (@var "Subject2" tptp.late_subject)) % 0.49/0.95 (define @t412 () (_ (_ (_ tptp.late_BoundR @t411) @t410) @t407)) % 0.49/0.95 (define @t413 () (@var "Name22" tptp.name)) % 0.49/0.95 (define @t414 () (@var "Name12" tptp.name)) % 0.49/0.95 (define @t415 () (_ (_ (_ tptp.input @t414) @t413) @t397)) % 0.49/0.95 (define @t416 () (@list @t414 @t413 @t397 @t121 @t120)) % 0.49/0.95 (define @t417 () (@var "Pi22" tptp.pi)) % 0.49/0.95 (define @t418 () (@var "Pi12" tptp.pi)) % 0.49/0.95 (define @t419 () (_ (_ tptp.par @t418) @t417)) % 0.49/0.95 (define @t420 () (@list @t414 @t413 @t397 @t418 @t417)) % 0.49/0.95 (define @t421 () (@list @t397 @t418 @t417)) % 0.49/0.95 (define @t422 () (_ (_ tptp.fresh_1641682979reeRes @t19) @t387)) % 0.49/0.95 (define @t423 () (_ @t300 @t389)) % 0.49/0.95 (define @t424 () (@list @t43 @t387 @t292 @t19)) % 0.49/0.95 (define @t425 () (_ tptp.fresh_1641682979reeRes @t251)) % 0.49/0.95 (define @t426 () (=> (_ @t346 (_ @t354 @t311)) (not (_ @t425 @t353)))) % 0.49/0.95 (define @t427 () (_ tptp.res @t251)) % 0.49/0.95 (define @t428 () (_ @t427 @t311)) % 0.49/0.95 (define @t429 () (_ @t354 @t428)) % 0.49/0.95 (define @t430 () (_ @t427 @t336)) % 0.49/0.95 (define @t431 () (= @t51 @t430)) % 0.49/0.95 (define @t432 () (@list @t336 @t353 @t311 @t251)) % 0.49/0.95 (define @t433 () (_ tptp.late_transitions @t51)) % 0.49/0.95 (define @t434 () (@var "XP" tptp.pi)) % 0.49/0.95 (define @t435 () (@var "F" (-> tptp.pi Bool))) % 0.49/0.95 (define @t436 () (_ tptp.fresh_1641682979reeRes @t49)) % 0.49/0.95 (define @t437 () (_ @t300 (_ @t388 @t311))) % 0.49/0.95 (define @t438 () (_ @t310 (_ @t388 @t317))) % 0.49/0.95 (define @t439 () (_ @t339 @t251)) % 0.49/0.95 (define @t440 () (_ @t300 (_ @t439 @t350))) % 0.49/0.95 (define @t441 () (_ tptp.fresh_name_pi @t251)) % 0.49/0.95 (define @t442 () (_ @t310 (_ @t439 @t309))) % 0.49/0.95 (define @t443 () (_ tptp.late_transitions @t379)) % 0.49/0.95 (define @t444 () (@var "Z" tptp.late_freeRes)) % 0.49/0.95 (define @t445 () (@var "P" (-> tptp.late_freeRes tptp.late_residual Bool))) % 0.49/0.95 (define @t446 () (@var "Z2" tptp.late_freeRes)) % 0.49/0.95 (define @t447 () (_ @t445 @t446)) % 0.49/0.95 (define @t448 () (_ (_ tptp.fresh_717452603ubject @t410) @t411)) % 0.49/0.95 (define @t449 () (_ (_ tptp.fresh_1641682979reeRes @t410) @t446)) % 0.49/0.95 (define @t450 () (@var "Z" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t451 () (@var "P" (-> tptp.produc1141751126_pi_pi tptp.late_residual Bool))) % 0.49/0.95 (define @t452 () (@var "Z2" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t453 () (_ @t451 @t452)) % 0.49/0.95 (define @t454 () (_ (_ tptp.fresh_1376661020_pi_pi @t410) @t452)) % 0.49/0.95 (define @t455 () (@var "P" (-> tptp.name tptp.late_residual Bool))) % 0.49/0.95 (define @t456 () (@var "Z2" tptp.name)) % 0.49/0.95 (define @t457 () (_ @t455 @t456)) % 0.49/0.95 (define @t458 () (_ (_ tptp.fresh_name_name @t410) @t456)) % 0.49/0.95 (define @t459 () (@var "Z" tptp.pi)) % 0.49/0.95 (define @t460 () (@var "P" (-> tptp.pi tptp.late_residual Bool))) % 0.49/0.95 (define @t461 () (@var "Z2" tptp.pi)) % 0.49/0.95 (define @t462 () (_ @t460 @t461)) % 0.49/0.95 (define @t463 () (_ (_ tptp.fresh_name_pi @t410) @t461)) % 0.49/0.95 (define @t464 () (_ @t50 @t309)) % 0.49/0.95 (define @t465 () (=> (forall (@list @t309 @t353) (=> @t357 (=> (_ @t436 @t353) (exists @t356 (and @t355 (_ (_ tptp.member558706512_pi_pi (_ @t351 @t464)) @t128)))))) (_ @t348 (_ @t50 @t41)))) % 0.49/0.95 (define @t466 () (exists @t356 (and @t440 (_ (_ (_ (_ @t359 @t464) @t332) @t251) @t128)))) % 0.49/0.95 (define @t467 () (not (= @t49 @t251))) % 0.49/0.95 (define @t468 () (_ @t330 @t332)) % 0.49/0.95 (define @t469 () (@list @t309 @t332 @t251)) % 0.49/0.95 (define @t470 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t207))) % 0.49/0.95 (define @t471 () (_ tptp.late_OutputR @t207)) % 0.49/0.95 (define @t472 () (forall (@list @t309 @t207) (=> (_ @t310 (_ (_ tptp.late_FreeR (_ @t471 @t49)) @t309)) (=> (not (= @t207 @t49)) (exists @t356 (and (_ @t300 (_ (_ @t470 @t49) @t350)) @t352)))))) % 0.49/0.95 (define @t473 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t94))) % 0.49/0.95 (define @t474 () (_ (_ tptp.late_OutputR @t54) @t94)) % 0.49/0.95 (define @t475 () (_ tptp.late_FreeR @t474)) % 0.49/0.95 (define @t476 () (_ @t475 @t292)) % 0.49/0.95 (define @t477 () (_ (_ tptp.abs_fun_name_pi @t78) @t68)) % 0.49/0.95 (define @t478 () (_ @t278 @t477)) % 0.49/0.95 (define @t479 () (@var "X32" tptp.late_subject)) % 0.49/0.95 (define @t480 () (_ (_ (_ tptp.late_BoundR @t479) @t78) @t68)) % 0.49/0.95 (define @t481 () (_ tptp.late_FreeR tptp.late_TauR)) % 0.49/0.95 (define @t482 () (@list @t336)) % 0.49/0.95 (define @t483 () (_ (_ tptp.late_OutputR @t65) @t78)) % 0.49/0.95 (define @t484 () (_ tptp.late_BoundOutputS @t78)) % 0.49/0.95 (define @t485 () (@list @t78 @t77)) % 0.49/0.95 (define @t486 () (_ @t263 @t78)) % 0.49/0.95 (define @t487 () (@list @t54 @t78)) % 0.49/0.95 (define @t488 () (_ @t263 @t65)) % 0.49/0.95 (define @t489 () (_ (_ tptp.res @t78) @t68)) % 0.49/0.95 (define @t490 () (@var "X32" tptp.name)) % 0.49/0.95 (define @t491 () (_ @t263 @t490)) % 0.49/0.95 (define @t492 () (_ (_ (_ tptp.input @t490) @t78) @t68)) % 0.49/0.95 (define @t493 () (= @t49 @t19)) % 0.49/0.95 (define @t494 () (_ tptp.abs_fun_name_name @t54)) % 0.49/0.95 (define @t495 () (_ @t494 @t49)) % 0.49/0.95 (define @t496 () (_ tptp.abs_fu385186459_pi_pi @t54)) % 0.49/0.95 (define @t497 () (_ @t496 @t150)) % 0.49/0.95 (define @t498 () (_ tptp.abs_fu681348580reeRes @t54)) % 0.49/0.95 (define @t499 () (_ @t498 @t147)) % 0.49/0.95 (define @t500 () (_ tptp.abs_fun_name_pi @t54)) % 0.49/0.95 (define @t501 () (_ @t500 @t151)) % 0.49/0.95 (define @t502 () (@var "FreeRes3" tptp.late_freeRes)) % 0.49/0.95 (define @t503 () (@var "P" (-> tptp.late_freeRes Bool))) % 0.49/0.95 (define @t504 () (@var "Name23" tptp.name)) % 0.49/0.95 (define @t505 () (@var "Name13" tptp.name)) % 0.49/0.95 (define @t506 () (= @t477 (_ (_ tptp.abs_fun_name_pi @t77) @t67))) % 0.49/0.95 (define @t507 () (@var "Y32" tptp.late_subject)) % 0.49/0.95 (define @t508 () (_ tptp.fresh_1641682979reeRes @t94)) % 0.49/0.95 (define @t509 () (= @t94 @t54)) % 0.49/0.95 (define @t510 () (@var "Y32" tptp.name)) % 0.49/0.95 (define @t511 () (= @t490 @t510)) % 0.49/0.95 (define @t512 () (_ tptp.late_BoundR (_ tptp.late_BoundOutputS @t54))) % 0.49/0.95 (define @t513 () (_ @t300 @t476)) % 0.49/0.95 (define @t514 () (@list @t43 @t54 @t94 @t292)) % 0.49/0.95 (define @t515 () (=> @t347 (=> (_ (_ tptp.fresh_717452603ubject @t251) @t332) (=> (not (= @t251 @t130)) (=> @t337 @t334))))) % 0.49/0.95 (define @t516 () (_ @t340 @t428)) % 0.49/0.95 (define @t517 () (@list @t336 @t332 @t130 @t311 @t251)) % 0.49/0.95 (define @t518 () (= @t207 @t182)) % 0.49/0.95 (define @t519 () (_ tptp.late_FreeR (_ @t471 @t182))) % 0.49/0.95 (define @t520 () (=> (_ @t346 (_ @t519 @t311)) @t518)) % 0.49/0.95 (define @t521 () (_ (_ @t470 @t182) @t311)) % 0.49/0.95 (define @t522 () (_ (_ tptp.res @t182) @t336)) % 0.49/0.95 (define @t523 () (@list @t336 @t207 @t182)) % 0.49/0.95 (define @t524 () (@var "Y4" tptp.name)) % 0.49/0.95 (define @t525 () (_ (_ @t297 @t524) @t292)) % 0.49/0.95 (define @t526 () (@var "X5" tptp.name)) % 0.49/0.95 (define @t527 () (_ (_ tptp.res @t526) @t43)) % 0.49/0.95 (define @t528 () (@var "Prop" (-> tptp.late_freeRes tptp.pi Bool))) % 0.49/0.95 (define @t529 () (_ (_ @t528 @t387) @t292)) % 0.49/0.95 (define @t530 () (= @t43 @t292)) % 0.49/0.95 (define @t531 () (_ (_ tptp.subs @t317) @t49)) % 0.49/0.95 (define @t532 () (_ @t316 (_ @t481 (_ @t20 (_ @t322 (_ @t531 @t19)))))) % 0.49/0.95 (define @t533 () (not @t493)) % 0.49/0.95 (define @t534 () (not (= @t19 @t54))) % 0.49/0.95 (define @t535 () (_ @t304 @t292)) % 0.49/0.95 (define @t536 () (not (= @t49 @t54))) % 0.49/0.95 (define @t537 () (_ @t29 @t41)) % 0.49/0.95 (define @t538 () (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t54)) @t49)) % 0.49/0.95 (define @t539 () (_ @t310 (_ @t538 @t317))) % 0.49/0.95 (define @t540 () (_ @t512 @t19)) % 0.49/0.95 (define @t541 () (_ @t300 (_ @t540 @t292))) % 0.49/0.95 (define @t542 () (@list @t43 @t54 @t19 @t292 @t41 @t49 @t317)) % 0.49/0.95 (define @t543 () (_ (_ tptp.subs @t292) @t49)) % 0.49/0.95 (define @t544 () (_ @t316 (_ @t481 (_ @t20 (_ (_ tptp.par (_ @t543 @t19)) @t317))))) % 0.49/0.95 (define @t545 () (_ @t304 @t317)) % 0.49/0.95 (define @t546 () (_ @t310 (_ @t540 @t317))) % 0.49/0.95 (define @t547 () (_ @t300 (_ @t538 @t292))) % 0.49/0.95 (define @t548 () (@list @t43 @t54 @t49 @t292 @t41 @t19 @t317)) % 0.49/0.95 (define @t549 () (_ tptp.late_InputS @t78)) % 0.49/0.95 (define @t550 () (@var "P" (-> tptp.late_subject Bool))) % 0.49/0.95 (define @t551 () (@list @t410)) % 0.49/0.95 (define @t552 () (_ @t378 (_ @t538 @t43))) % 0.49/0.95 (define @t553 () (= @t54 @t207)) % 0.49/0.95 (define @t554 () (@list @t54 @t94 @t43 @t303)) % 0.49/0.95 (define @t555 () (_ @t316 (_ @t481 (_ (_ tptp.par (_ @t543 @t94)) @t317)))) % 0.49/0.95 (define @t556 () (_ @t310 (_ @t475 @t317))) % 0.49/0.95 (define @t557 () (@list @t43 @t54 @t49 @t292 @t41 @t94 @t317)) % 0.49/0.95 (define @t558 () (_ @t316 (_ @t481 (_ @t322 (_ @t531 @t94))))) % 0.49/0.95 (define @t559 () (@list @t43 @t54 @t94 @t292 @t41 @t49 @t317)) % 0.49/0.95 (define @t560 () (not (= @t49 @t94))) % 0.49/0.95 (define @t561 () (_ tptp.late_BoundOutputS @t65)) % 0.49/0.95 (define @t562 () (@var "Y12" tptp.name)) % 0.49/0.95 (define @t563 () (@var "X12" tptp.name)) % 0.49/0.95 (define @t564 () (@var "Y11" tptp.name)) % 0.49/0.95 (define @t565 () (@var "X11" tptp.name)) % 0.49/0.95 (define @t566 () (_ (_ tptp.late_OutputR @t565) @t563)) % 0.49/0.95 (define @t567 () (@var "X122" tptp.name)) % 0.49/0.95 (define @t568 () (@var "X112" tptp.name)) % 0.49/0.95 (define @t569 () (@var "X22" tptp.name)) % 0.49/0.95 (define @t570 () (@var "Y" tptp.late_subject)) % 0.49/0.95 (define @t571 () (@var "X13" tptp.name)) % 0.49/0.95 (define @t572 () (_ @t481 @t292)) % 0.49/0.95 (define @t573 () (_ tptp.output @t54)) % 0.49/0.95 (define @t574 () (_ (_ @t573 @t94) @t43)) % 0.49/0.95 (define @t575 () (_ tptp.late_transitions (_ @t50 @t574))) % 0.49/0.95 (define @t576 () (and @t491 @t488 @t143)) % 0.49/0.95 (define @t577 () (_ (_ (_ tptp.output @t490) @t65) @t73)) % 0.49/0.95 (define @t578 () (@list @t54 @t490 @t65 @t73)) % 0.49/0.95 (define @t579 () (_ (_ (_ tptp.output @t414) @t413) @t397)) % 0.49/0.95 (define @t580 () (@list @t414 @t413 @t397 @t394 @t393 @t120)) % 0.49/0.95 (define @t581 () (@list @t414 @t413 @t397 @t120)) % 0.49/0.95 (define @t582 () (and @t511 @t66 @t74)) % 0.49/0.95 (define @t583 () (@list @t490 @t65 @t73 @t510 @t64 @t72)) % 0.49/0.95 (define @t584 () (@var "C" tptp.late_subject)) % 0.49/0.95 (define @t585 () (_ tptp.late_transitions @t574)) % 0.49/0.95 (define @t586 () (_ @t585 @t389)) % 0.49/0.95 (define @t587 () (= @t43 @t336)) % 0.49/0.95 (define @t588 () (and @t553 (= @t94 @t182) @t587)) % 0.49/0.95 (define @t589 () (_ (_ (_ tptp.subst_name @t94) @t40) @t39)) % 0.49/0.95 (define @t590 () (_ tptp.subst_name @t54)) % 0.49/0.95 (define @t591 () (_ (_ @t590 @t40) @t39)) % 0.49/0.95 (define @t592 () (@list @t54 @t94 @t43 @t40 @t39)) % 0.49/0.95 (define @t593 () (_ tptp.subs @t377)) % 0.49/0.95 (define @t594 () (_ tptp.mismatch @t54)) % 0.49/0.95 (define @t595 () (_ (_ @t594 @t94) @t43)) % 0.49/0.95 (define @t596 () (_ (_ (_ tptp.match @t54) @t94) @t43)) % 0.49/0.95 (define @t597 () (_ (_ (_ tptp.match @t490) @t65) @t73)) % 0.49/0.95 (define @t598 () (_ (_ (_ tptp.mismatch @t490) @t65) @t73)) % 0.49/0.95 (define @t599 () (@var "F" (-> tptp.name tptp.name Bool))) % 0.49/0.95 (define @t600 () (_ @t599 @t54)) % 0.49/0.95 (define @t601 () (_ @t600 @t94)) % 0.49/0.95 (define @t602 () (_ (_ tptp.late_transitions @t596) @t303)) % 0.49/0.95 (define @t603 () (@list @t54 @t94 @t43 @t303 @t599)) % 0.49/0.95 (define @t604 () (_ @t346 @t303)) % 0.49/0.95 (define @t605 () (_ (_ tptp.late_transitions @t595) @t303)) % 0.49/0.95 (define @t606 () (_ (_ @t594 @t54) @t43)) % 0.49/0.95 (define @t607 () (_ (_ (_ tptp.match @t414) @t413) @t397)) % 0.49/0.95 (define @t608 () (_ (_ (_ tptp.mismatch @t414) @t413) @t397)) % 0.49/0.95 (define @t609 () (_ (_ (_ tptp.match @t394) @t393) @t120)) % 0.49/0.95 (define @t610 () (_ (_ (_ tptp.mismatch @t394) @t393) @t120)) % 0.49/0.95 (define @t611 () (@var "P" (-> tptp.late_freeRes tptp.pi Bool))) % 0.49/0.95 (define @t612 () (_ tptp.bang @t407)) % 0.49/0.95 (define @t613 () (_ @t611 @t446)) % 0.49/0.95 (define @t614 () (@var "Za" tptp.late_freeRes)) % 0.49/0.95 (define @t615 () (_ @t611 @t614)) % 0.49/0.95 (define @t616 () (@list @t614)) % 0.49/0.95 (define @t617 () (forall @t616 (_ @t615 @t407))) % 0.49/0.95 (define @t618 () (@list @t407 @t446)) % 0.49/0.95 (define @t619 () (_ (_ tptp.res @t410) @t407)) % 0.49/0.95 (define @t620 () (@var "Pi23" tptp.pi)) % 0.49/0.95 (define @t621 () (@var "Pi13" tptp.pi)) % 0.49/0.95 (define @t622 () (_ (_ tptp.par @t621) @t620)) % 0.49/0.95 (define @t623 () (forall @t616 (_ @t615 @t620))) % 0.49/0.95 (define @t624 () (forall @t616 (_ @t615 @t621))) % 0.49/0.95 (define @t625 () (@list @t621 @t620 @t446)) % 0.49/0.95 (define @t626 () (_ (_ tptp.sum @t621) @t620)) % 0.49/0.95 (define @t627 () (_ (_ (_ tptp.mismatch @t505) @t504) @t407)) % 0.49/0.95 (define @t628 () (@list @t505 @t504 @t407 @t446)) % 0.49/0.95 (define @t629 () (_ (_ (_ tptp.match @t505) @t504) @t407)) % 0.49/0.95 (define @t630 () (_ (_ (_ tptp.input @t505) @t504) @t407)) % 0.49/0.95 (define @t631 () (_ tptp.fresh_name_name @t504)) % 0.49/0.95 (define @t632 () (_ @t631 @t505)) % 0.49/0.95 (define @t633 () (_ tptp.tau @t407)) % 0.49/0.95 (define @t634 () (_ (_ (_ tptp.output @t505) @t504) @t407)) % 0.49/0.95 (define @t635 () (@var "P" (-> tptp.produc1141751126_pi_pi tptp.pi Bool))) % 0.49/0.95 (define @t636 () (_ @t635 @t452)) % 0.49/0.95 (define @t637 () (@var "Za" tptp.produc1141751126_pi_pi)) % 0.49/0.95 (define @t638 () (_ @t635 @t637)) % 0.49/0.95 (define @t639 () (@list @t637)) % 0.49/0.95 (define @t640 () (forall @t639 (_ @t638 @t407))) % 0.49/0.95 (define @t641 () (@list @t407 @t452)) % 0.49/0.95 (define @t642 () (forall @t639 (_ @t638 @t620))) % 0.49/0.95 (define @t643 () (forall @t639 (_ @t638 @t621))) % 0.49/0.95 (define @t644 () (@list @t621 @t620 @t452)) % 0.49/0.95 (define @t645 () (@list @t505 @t504 @t407 @t452)) % 0.49/0.95 (define @t646 () (@var "P" (-> tptp.name tptp.pi Bool))) % 0.49/0.95 (define @t647 () (_ @t646 @t456)) % 0.49/0.95 (define @t648 () (@var "Za" tptp.name)) % 0.49/0.95 (define @t649 () (_ @t646 @t648)) % 0.49/0.95 (define @t650 () (@list @t648)) % 0.49/0.95 (define @t651 () (forall @t650 (_ @t649 @t407))) % 0.49/0.95 (define @t652 () (@list @t407 @t456)) % 0.49/0.95 (define @t653 () (forall @t650 (_ @t649 @t620))) % 0.49/0.95 (define @t654 () (forall @t650 (_ @t649 @t621))) % 0.49/0.95 (define @t655 () (@list @t621 @t620 @t456)) % 0.49/0.95 (define @t656 () (@list @t505 @t504 @t407 @t456)) % 0.49/0.95 (define @t657 () (@var "P" (-> tptp.pi tptp.pi Bool))) % 0.49/0.95 (define @t658 () (_ @t657 @t461)) % 0.49/0.95 (define @t659 () (@var "Za" tptp.pi)) % 0.49/0.95 (define @t660 () (_ @t657 @t659)) % 0.49/0.95 (define @t661 () (@list @t659)) % 0.49/0.95 (define @t662 () (forall @t661 (_ @t660 @t407))) % 0.49/0.95 (define @t663 () (@list @t407 @t461)) % 0.49/0.95 (define @t664 () (forall @t661 (_ @t660 @t620))) % 0.49/0.95 (define @t665 () (forall @t661 (_ @t660 @t621))) % 0.49/0.95 (define @t666 () (@list @t621 @t620 @t461)) % 0.49/0.95 (define @t667 () (@list @t505 @t504 @t407 @t461)) % 0.49/0.95 (define @t668 () (_ tptp.bang @t73)) % 0.49/0.95 (define @t669 () (_ (_ tptp.sum @t68) @t73)) % 0.49/0.95 (define @t670 () (_ (_ tptp.sum @t43) @t41)) % 0.49/0.95 (define @t671 () (_ tptp.bang @t120)) % 0.49/0.95 (define @t672 () (_ (_ tptp.sum @t418) @t417)) % 0.49/0.95 (define @t673 () (@list @t124 @t123 @t120)) % 0.49/0.95 (define @t674 () (_ (_ tptp.late_transitions @t670) @t303)) % 0.49/0.95 (define @t675 () (_ @t310 @t303)) % 0.49/0.95 (define @t676 () (_ (_ tptp.sum @t124) @t123)) % 0.49/0.95 (define @t677 () (@var "P" Bool)) % 0.49/0.95 (define @t678 () (@list @t49 @t19)) % 0.49/0.95 (define @t679 () (_ @t10 @t5)) % 0.49/0.95 (define @t680 () (_ (_ tptp.product_Pair_pi_pi @t15) @t679)) % 0.49/0.95 (define @t681 () (_ (_ tptp.member558706512_pi_pi @t680) tptp.rel)) % 0.49/0.95 (define @t682 () (not @t681)) % 0.49/0.95 (define @t683 () (@var "Rel2" tptp.set_Pr1834926343_pi_pi)) % 0.49/0.95 (define @t684 () (@var "Q6" tptp.pi)) % 0.49/0.95 (define @t685 () (@var "P8" tptp.pi)) % 0.49/0.95 (define @t686 () (@var "Alpha3" tptp.late_freeRes)) % 0.49/0.95 (define @t687 () (_ tptp.late_FreeR @t686)) % 0.49/0.95 (define @t688 () (@var "P7" tptp.pi)) % 0.49/0.95 (define @t689 () (_ tptp.late_transitions @t688)) % 0.49/0.95 (define @t690 () (@list @t685)) % 0.49/0.95 (define @t691 () (@var "Q5" tptp.pi)) % 0.49/0.95 (define @t692 () (_ tptp.late_transitions @t691)) % 0.49/0.95 (define @t693 () (@var "X4" tptp.name)) % 0.49/0.95 (define @t694 () (@var "A5" tptp.late_subject)) % 0.49/0.95 (define @t695 () (_ (_ tptp.late_BoundR @t694) @t693)) % 0.49/0.95 (define @t696 () (lambda (@list @t688 @t683 @t691) (and (forall (@list @t694 @t693 @t684) (=> (and (_ @t692 (_ @t695 @t684)) (_ (_ tptp.fresh_name_pi @t693) @t688)) (exists @t690 (and (_ @t689 (_ @t695 @t685)) (_ (_ (_ (_ (_ tptp.strong2129052853vative @t685) @t684) @t694) @t693) @t683))))) (forall (@list @t686 @t684) (=> (_ @t692 (_ @t687 @t684)) (exists @t690 (and (_ @t689 (_ @t687 @t685)) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t685) @t684)) @t683)))))))) % 0.49/0.95 (define @t697 () (@var "B4" tptp.name)) % 0.49/0.95 (define @t698 () (@var "A5" tptp.name)) % 0.49/0.95 (define @t699 () (= @t698 @t697)) % 0.49/0.95 (define @t700 () (lambda (@list @t698 @t697) (not @t699))) % 0.49/0.95 (define @t701 () (@var "C4" tptp.name)) % 0.49/0.95 (define @t702 () (lambda (@list @t698 @t697 @t701) (_ (_ (_ tptp.if_name @t699) @t701) @t698))) % 0.49/0.95 (define @t703 () (tptp.res @t19 @t18)) % 0.49/0.95 (define @t704 () (tptp.par @t22 @t703)) % 0.49/0.95 (define @t705 () (tptp.par @t22 @t18)) % 0.49/0.95 (define @t706 () (tptp.res @t19 @t705)) % 0.49/0.95 (define @t707 () (tptp.product_Pair_pi_pi @t706 @t704)) % 0.49/0.95 (define @t708 () (tptp.member558706512_pi_pi @t707 tptp.rel)) % 0.49/0.95 (define @t709 () (tptp.fresh_name_pi @t19 @t22)) % 0.49/0.95 (define @t710 () (not @t30)) % 0.49/0.95 (define @t711 () (or @t710 @t28)) % 0.49/0.95 (define @t712 () (tptp.res tptp.x tptp.q)) % 0.49/0.95 (define @t713 () (tptp.subs @t712 tptp.y tptp.u)) % 0.49/0.95 (define @t714 () (tptp.subs tptp.p2 tptp.y tptp.u)) % 0.49/0.95 (define @t715 () (tptp.par @t714 @t713)) % 0.49/0.95 (define @t716 () (tptp.par tptp.p2 tptp.q)) % 0.49/0.95 (define @t717 () (tptp.res tptp.x @t716)) % 0.49/0.95 (define @t718 () (tptp.subs @t717 tptp.y tptp.u)) % 0.49/0.95 (define @t719 () (tptp.product_Pair_pi_pi @t718 @t715)) % 0.49/0.95 (define @t720 () (tptp.member558706512_pi_pi @t719 tptp.rel)) % 0.49/0.95 (define @t721 () (_ tptp.par @t714)) % 0.49/0.95 (define @t722 () (tptp.subs tptp.q tptp.y tptp.u)) % 0.49/0.95 (define @t723 () (tptp.res tptp.x @t722)) % 0.49/0.95 (define @t724 () (tptp.par @t714 @t723)) % 0.49/0.95 (define @t725 () (tptp.par @t714 @t722)) % 0.49/0.95 (define @t726 () (tptp.res tptp.x @t725)) % 0.49/0.95 (define @t727 () (tptp.product_Pair_pi_pi @t726 @t724)) % 0.49/0.95 (define @t728 () (tptp.member558706512_pi_pi @t727 tptp.rel)) % 0.49/0.95 (define @t729 () (tptp.fresh_name_pi tptp.x @t714)) % 0.49/0.95 (define @t730 () (not @t729)) % 0.49/0.95 (define @t731 () (or @t730 @t728)) % 0.49/0.95 (define @t732 () (not @t731)) % 0.49/0.95 (define @t733 () (forall @t31 (or (not @t709) @t708))) % 0.49/0.95 (assume @p1 (not (= tptp.x tptp.u))) % 0.49/0.95 (assume @p2 @t6) % 0.49/0.95 (assume @p3 (not (= tptp.y tptp.x))) % 0.49/0.95 (assume @p4 @t9) % 0.49/0.95 (assume @p5 (_ tptp.eqvt_pi tptp.rel)) % 0.49/0.95 (assume @p6 @t16) % 0.49/0.95 (assume @p7 (_ @t17 tptp.q)) % 0.49/0.95 (assume @p8 (_ @t8 tptp.p2)) % 0.49/0.95 (assume @p9 @t32) % 0.49/0.95 (assume @p10 (forall (@list @t19 @t22 @t33 @t18) (=> @t30 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t20 (_ @t34 @t25))) (_ @t34 @t24))) tptp.rel)))) % 0.49/0.95 (assume @p11 (_ @t17 @t4)) % 0.49/0.95 (assume @p12 (_ @t8 tptp.p)) % 0.49/0.95 (assume @p13 (_ @t17 @t36)) % 0.49/0.95 (assume @p14 (_ @t17 @t38)) % 0.49/0.95 (assume @p15 (forall @t48 (= (_ (_ (_ tptp.subs @t47) @t40) @t39) (_ (_ tptp.par @t45) @t42)))) % 0.49/0.95 (assume @p16 (forall (@list @t49 @t40 @t39 @t43) (=> @t53 (=> @t52 (= (_ (_ (_ tptp.subs @t51) @t40) @t39) (_ @t50 @t45)))))) % 0.49/0.95 (assume @p17 (forall (@list @t43 @t54) (= (_ @t55 @t54) @t43))) % 0.49/0.95 (assume @p18 (forall (@list @t60 @t57 @t59 @t56) (= (= (_ (_ tptp.produc1505598906reeRes @t60) @t57) (_ (_ tptp.produc1505598906reeRes @t59) @t56)) (and @t61 @t58)))) % 0.49/0.95 (assume @p19 (forall (@list @t60 @t63 @t59 @t62) (= (= (_ (_ tptp.produc1275980869_pi_pi @t60) @t63) (_ (_ tptp.produc1275980869_pi_pi @t59) @t62)) (and @t61 (= @t63 @t62))))) % 0.49/0.95 (assume @p20 (forall (@list @t60 @t65 @t59 @t64) (= (= (_ (_ tptp.produc540578151i_name @t60) @t65) (_ (_ tptp.produc540578151i_name @t59) @t64)) (and @t61 @t66)))) % 0.49/0.95 (assume @p21 (forall (@list @t60 @t68 @t59 @t67) (= (= (_ (_ tptp.produc1820286517_pi_pi @t60) @t68) (_ (_ tptp.produc1820286517_pi_pi @t59) @t67)) (and @t61 @t69)))) % 0.49/0.95 (assume @p22 (forall (@list @t60 @t71 @t59 @t70) (= (= (_ (_ tptp.produc1342893193ion_pi @t60) @t71) (_ (_ tptp.produc1342893193ion_pi @t59) @t70)) (and @t61 (= @t71 @t70))))) % 0.49/0.95 (assume @p23 (forall (@list @t73 @t68 @t72 @t67) (= (= (_ (_ tptp.product_Pair_pi_pi @t73) @t68) (_ (_ tptp.product_Pair_pi_pi @t72) @t67)) (and @t74 @t69)))) % 0.49/0.95 (assume @p24 (forall (@list @t78 @t76 @t77 @t75) (= (= (_ (_ tptp.produc235456326_pi_pi @t78) @t76) (_ (_ tptp.produc235456326_pi_pi @t77) @t75)) (and @t79 (= @t76 @t75))))) % 0.49/0.95 (assume @p25 (forall @t87 (= @t86 (and @t85 @t82)))) % 0.49/0.95 (assume @p26 (forall @t92 (= @t91 (and @t85 @t90)))) % 0.49/0.95 (assume @p27 (forall @t97 (= @t96 (and @t85 @t95)))) % 0.49/0.95 (assume @p28 (forall @t102 (= @t101 (and @t85 @t100)))) % 0.49/0.95 (assume @p29 (forall @t107 (= @t106 (and @t85 @t105)))) % 0.49/0.95 (assume @p30 (forall @t112 (= @t111 (and @t110 @t100)))) % 0.49/0.95 (assume @p31 (forall @t119 (= @t118 (and @t117 @t115)))) % 0.49/0.95 (assume @p32 (forall @t126 (not (= @t125 @t122)))) % 0.49/0.95 (assume @p33 (_ @t17 tptp.p)) % 0.49/0.95 (assume @p34 (_ (_ tptp.fresh_1376661020_pi_pi tptp.y) (_ (_ tptp.produc235456326_pi_pi tptp.x) (_ (_ tptp.product_Pair_pi_pi tptp.p) tptp.q)))) % 0.49/0.95 (assume @p35 (forall (@list @t128 @t43 @t41) (=> (forall (@list @t133 @t129) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par @t133) @t129)) (_ @t134 @t133))) @t128)) (=> (forall (@list @t133 @t129 @t130) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t133) @t129)) @t128) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t131 @t133)) @t132)) @t128))) (_ (_ (_ tptp.strong743114133lation @t47) @t128) (_ @t127 @t43)))))) % 0.49/0.95 (assume @p36 (forall @t141 (=> @t140 (= @t138 @t137)))) % 0.49/0.95 (assume @p37 (forall @t141 (=> @t140 (= (_ (_ (_ tptp.subs @t138) @t54) @t94) @t137)))) % 0.49/0.95 (assume @p38 (_ (_ tptp.fresh_717452603ubject tptp.y) tptp.aa)) % 0.49/0.95 (assume @p39 (_ (_ tptp.fresh_717452603ubject tptp.x) tptp.aa)) % 0.49/0.95 (assume @p40 (forall @t146 (= (_ @t142 @t145) @t144))) % 0.49/0.95 (assume @p41 (forall (@list @t147) (not (forall @t149 (not (_ (_ tptp.fresh_1641682979reeRes @t148) @t147)))))) % 0.49/0.95 (assume @p42 (forall (@list @t150) (not (forall @t149 (not (_ (_ tptp.fresh_1376661020_pi_pi @t148) @t150)))))) % 0.49/0.95 (assume @p43 (forall (@list @t49) (not (forall @t149 (not (_ (_ tptp.fresh_name_name @t148) @t49)))))) % 0.49/0.95 (assume @p44 (forall (@list @t151) (not (forall @t149 (not (_ (_ tptp.fresh_name_pi @t148) @t151)))))) % 0.49/0.95 (assume @p45 (forall (@list @t54 @t43) (_ @t142 @t138))) % 0.49/0.95 (assume @p46 (forall @t154 (=> @t153 (_ @t142 @t135)))) % 0.49/0.95 (assume @p47 (forall (@list @t54 @t43 @t40 @t94) (=> @t157 (=> @t156 (_ @t142 @t155))))) % 0.49/0.95 (assume @p48 (forall (@list @t54 @t43 @t94) (=> @t157 (= @t135 @t43)))) % 0.49/0.95 (assume @p49 (forall (@list @t128 @t43 @t41 @t22) (=> (forall (@list @t129 @t159 @t158) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t165) @t161)) @t128)) (=> (forall (@list @t129 @t159 @t130) (=> (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t129) @t159)) @t128) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t132) (_ @t131 @t159))) @t128))) (=> (forall @t164 (=> (_ @t163 @t129) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ @t131 @t165)) (_ @t134 (_ @t131 @t160)))) @t128))) (=> (forall @t164 (=> (_ @t163 @t158) (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi (_ (_ tptp.par (_ @t131 @t162)) @t158)) (_ @t131 @t161))) @t128))) (_ (_ (_ tptp.strong743114133lation (_ (_ tptp.par @t47) @t22)) @t128) (_ @t46 (_ @t127 @t22))))))))) % 0.49/0.95 (assume @p50 (forall (@list @t167 @t166) (=> @t172 (_ @t167 @t166)))) % 0.49/0.95 (assume @p51 (forall (@list @t174 @t173) (=> @t179 (_ @t174 @t173)))) % 0.49/0.95 (assume @p52 (forall (@list @t181 @t180) (=> @t185 (_ @t181 @t180)))) % 0.49/0.95 (assume @p53 (forall (@list @t187 @t186) (=> @t191 (_ @t187 @t186)))) % 0.49/0.95 (assume @p54 (forall (@list @t193 @t192) (=> @t197 (_ @t193 @t192)))) % 0.49/0.95 (assume @p55 (forall (@list @t199 @t198) (=> @t203 (_ @t199 @t198)))) % 0.49/0.95 (assume @p56 (forall (@list @t205 @t204) (=> @t211 (_ @t205 @t204)))) % 0.49/0.95 (assume @p57 (forall (@list @t212) (not (forall @t171 (not (= @t212 @t170)))))) % 0.49/0.95 (assume @p58 (forall @t214 (not (forall @t178 (not (= @t213 @t177)))))) % 0.49/0.95 (assume @p59 (forall (@list @t215) (not (forall @t184 (not (= @t215 @t183)))))) % 0.49/0.95 (assume @p60 (forall (@list @t216) (not (forall @t190 (not (= @t216 @t189)))))) % 0.49/0.95 (assume @p61 (forall (@list @t217) (not (forall @t196 (not (= @t217 @t195)))))) % 0.49/0.95 (assume @p62 (forall (@list @t218) (not (forall @t202 (not (= @t218 @t201)))))) % 0.49/0.95 (assume @p63 (forall @t220 (not (forall @t210 (not (= @t219 @t209)))))) % 0.49/0.95 (assume @p64 (forall @t228 (=> (forall @t227 (_ @t174 @t226)) @t222))) % 0.49/0.95 (assume @p65 (forall @t228 (=> (forall @t231 (_ @t174 @t230)) @t222))) % 0.49/0.95 (assume @p66 (forall (@list @t205 @t150) (=> (forall @t233 (_ @t205 @t232)) (_ @t205 @t150)))) % 0.49/0.95 (assume @p67 (forall @t214 (not (forall @t227 (not (= @t213 @t226)))))) % 0.49/0.95 (assume @p68 (forall (@list @t234 @t199) (= (_ (_ tptp.member558706512_pi_pi @t234) @t235) (_ @t199 @t234)))) % 0.49/0.95 (assume @p69 (forall (@list @t236) (= (_ tptp.collec1051790738_pi_pi (lambda (@list @t237) (_ (_ tptp.member558706512_pi_pi @t237) @t236))) @t236))) % 0.49/0.95 (assume @p70 (forall (@list @t199 @t238) (=> (forall (@list @t239) (= (_ @t199 @t239) (_ @t238 @t239))) (= @t235 (_ tptp.collec1051790738_pi_pi @t238))))) % 0.49/0.95 (assume @p71 (forall @t214 (not (forall @t231 (not (= @t213 @t230)))))) % 0.49/0.95 (assume @p72 (forall @t220 (not (forall @t233 (not (= @t219 @t232)))))) % 0.49/0.95 (assume @p73 (forall @t87 (=> @t86 (not (=> @t85 (not @t82)))))) % 0.49/0.95 (assume @p74 (forall @t92 (=> @t91 (not (=> @t85 (not @t90)))))) % 0.49/0.95 (assume @p75 (forall @t97 (=> @t96 (not (=> @t85 (not @t95)))))) % 0.49/0.95 (assume @p76 (forall @t102 (=> @t101 (not (=> @t85 @t240))))) % 0.49/0.95 (assume @p77 (forall @t107 (=> @t106 (not (=> @t85 (not @t105)))))) % 0.49/0.95 (assume @p78 (forall @t112 (=> @t111 (not (=> @t110 @t240))))) % 0.49/0.95 (assume @p79 (forall @t119 (=> @t118 (not (=> @t117 (not @t115)))))) % 0.49/0.95 (assume @p80 (forall (@list @t167 @t241) (=> @t172 (_ @t167 @t241)))) % 0.49/0.95 (assume @p81 (forall (@list @t174 @t242) (=> @t179 (_ @t174 @t242)))) % 0.49/0.95 (assume @p82 (forall (@list @t181 @t243) (=> @t185 (_ @t181 @t243)))) % 0.49/0.95 (assume @p83 (forall (@list @t187 @t244) (=> @t191 (_ @t187 @t244)))) % 0.49/0.95 (assume @p84 (forall (@list @t193 @t245) (=> @t197 (_ @t193 @t245)))) % 0.49/0.95 (assume @p85 (forall (@list @t199 @t246) (=> @t203 (_ @t199 @t246)))) % 0.49/0.95 (assume @p86 (forall (@list @t205 @t247) (=> @t211 (_ @t205 @t247)))) % 0.49/0.95 (assume @p87 (forall (@list @t241) (exists (@list @t249 @t248) (= @t241 (_ (_ tptp.produc1505598906reeRes @t249) @t248))))) % 0.49/0.95 (assume @p88 (forall (@list @t242) (exists (@list @t249 @t250) (= @t242 (_ (_ tptp.produc1275980869_pi_pi @t249) @t250))))) % 0.49/0.95 (assume @p89 (forall (@list @t243) (exists (@list @t249 @t251) (= @t243 (_ (_ tptp.produc540578151i_name @t249) @t251))))) % 0.49/0.95 (assume @p90 (forall (@list @t244) (exists (@list @t249 @t252) (= @t244 (_ (_ tptp.produc1820286517_pi_pi @t249) @t252))))) % 0.49/0.95 (assume @p91 (forall (@list @t245) (exists (@list @t249 @t253) (= @t245 (_ (_ tptp.produc1342893193ion_pi @t249) @t253))))) % 0.49/0.95 (assume @p92 (forall (@list @t246) (exists (@list @t254 @t252) (= @t246 (_ (_ tptp.product_Pair_pi_pi @t254) @t252))))) % 0.49/0.95 (assume @p93 (forall (@list @t247) (exists (@list @t130 @t255) (= @t247 (_ (_ tptp.produc235456326_pi_pi @t130) @t255))))) % 0.49/0.95 (assume @p94 (forall @t257 (= (= @t145 (_ (_ tptp.par @t67) @t72)) @t256))) % 0.49/0.95 (assume @p95 (forall @t262 (= (_ (_ tptp.fresh_493808761reeRes @t54) (_ (_ tptp.produc1244821099reeRes @t147) @t258)) (and @t261 @t260)))) % 0.49/0.95 (assume @p96 (forall (@list @t54 @t147 @t19) (= (_ (_ tptp.fresh_2007541374s_name @t54) (_ (_ tptp.produc1701355766s_name @t147) @t19)) (and @t261 @t264)))) % 0.49/0.95 (assume @p97 (forall (@list @t54 @t147 @t265) (= (_ (_ tptp.fresh_1847501388Res_pi @t54) (_ (_ tptp.produc1177552196Res_pi @t147) @t265)) (and @t261 @t266)))) % 0.49/0.95 (assume @p98 (forall (@list @t54 @t49 @t258) (= (_ (_ tptp.fresh_1963366730reeRes @t54) (_ (_ tptp.produc1531804426reeRes @t49) @t258)) (and @t267 @t260)))) % 0.49/0.95 (assume @p99 (forall @t268 (= (_ (_ tptp.fresh_441084397e_name @t54) (_ (_ tptp.produc1570949143e_name @t49) @t19)) (and @t267 @t264)))) % 0.49/0.95 (assume @p100 (forall (@list @t54 @t49 @t265) (= (_ (_ tptp.fresh_93646139ame_pi @t54) (_ (_ tptp.product_Pair_name_pi @t49) @t265)) (and @t267 @t266)))) % 0.49/0.95 (assume @p101 (forall (@list @t54 @t151 @t258) (= (_ (_ tptp.fresh_1504024600reeRes @t54) (_ (_ tptp.produc1638681944reeRes @t151) @t258)) (and @t269 @t260)))) % 0.49/0.95 (assume @p102 (forall (@list @t54 @t151 @t19) (= (_ (_ tptp.fresh_261416607i_name @t54) (_ (_ tptp.product_Pair_pi_name @t151) @t19)) (and @t269 @t264)))) % 0.49/0.95 (assume @p103 (forall @t272 (= @t271 (and @t269 @t266)))) % 0.49/0.95 (assume @p104 (forall @t276 (= @t275 (and @t267 @t273)))) % 0.49/0.95 (assume @p105 (forall (@list @t94 @t43 @t54 @t40) (=> @t140 (= (_ (_ (_ tptp.subs @t135) @t94) @t40) (_ @t55 @t40))))) % 0.49/0.95 (assume @p106 (forall @t281 (=> @t280 @t279))) % 0.49/0.95 (assume @p107 (forall @t283 (=> @t282 @t279))) % 0.49/0.95 (assume @p108 (forall @t285 (=> @t284 @t279))) % 0.49/0.95 (assume @p109 (forall @t287 (=> @t286 @t279))) % 0.49/0.95 (assume @p110 (forall @t290 (=> @t289 @t279))) % 0.49/0.95 (assume @p111 (forall @t272 (=> @t271 @t269))) % 0.49/0.95 (assume @p112 (forall @t276 (=> @t275 @t267))) % 0.49/0.95 (assume @p113 (forall @t281 (=> @t280 @t260))) % 0.49/0.95 (assume @p114 (forall @t283 (=> @t282 (_ @t274 @t219)))) % 0.49/0.95 (assume @p115 (forall @t285 (=> @t284 @t264))) % 0.49/0.95 (assume @p116 (forall @t287 (=> @t286 @t266))) % 0.49/0.95 (assume @p117 (forall @t290 (=> @t289 (_ @t278 @t288)))) % 0.49/0.95 (assume @p118 (forall @t272 (=> @t271 @t266))) % 0.49/0.95 (assume @p119 (forall @t276 (=> @t275 @t273))) % 0.49/0.95 (assume @p120 (_ (_ tptp.late_transitions @t36) (_ @t291 tptp.pxQ))) % 0.49/0.95 (assume @p121 (_ (_ tptp.late_transitions @t38) (_ @t291 @t14))) % 0.49/0.95 (assume @p122 (_ (_ tptp.late_transitions tptp.p) (_ @t291 tptp.p2))) % 0.49/0.95 (assume @p123 (_ (_ tptp.late_transitions @t37) (_ @t291 @t13))) % 0.49/0.95 (assume @p124 (forall @t302 (=> @t301 (=> @t295 (=> @t294 @t293))))) % 0.49/0.95 (assume @p125 (forall (@list @t43 @t303 @t49) (=> @t306 (=> @t305 (_ (_ tptp.fresh_81631222sidual @t49) @t303))))) % 0.49/0.95 (assume @p126 (forall (@list @t43 @t41 @t296 @t49 @t307 @t308) (=> (_ @t316 (_ @t298 @t307)) (=> @t305 (=> @t315 (=> (forall @t314 (=> @t313 (_ @t308 (_ @t312 @t41)))) (=> (forall (@list @t309) (=> (_ @t310 (_ @t298 @t309)) (_ @t308 (_ @t46 @t309)))) (_ @t308 @t307)))))))) % 0.49/0.95 (assume @p127 (forall @t321 (=> @t320 (=> @t305 @t319)))) % 0.49/0.95 (assume @p128 (forall @t325 (=> @t301 (=> @t315 @t324)))) % 0.49/0.95 (assume @p129 (forall @t302 (=> @t301 (=> @t329 (=> @t294 @t328))))) % 0.49/0.95 (assume @p130 (forall @t302 (=> @t301 (=> @t295 @t329)))) % 0.49/0.95 (assume @p131 (forall @t302 (=> @t301 (=> @t329 (=> @t294 (=> @t305 (=> @t331 @t328))))))) % 0.49/0.95 (assume @p132 (forall @t321 (=> @t320 (=> @t305 (=> @t315 (=> @t331 @t319)))))) % 0.49/0.95 (assume @p133 (forall @t325 (=> @t301 (=> @t305 (=> @t315 (=> @t331 @t324)))))) % 0.49/0.95 (assume @p134 (forall (@list @t43 @t41 @t343 @t19 @t292) (=> (_ @t316 @t344) (=> (forall (@list @t336 @t332 @t130 @t311 @t335) (=> @t345 (=> (= @t344 (_ @t340 (_ @t312 @t335))) (=> @t347 @t338)))) (not (forall (@list @t335 @t332 @t130 @t309 @t336) (=> @t345 (=> (= @t344 (_ @t340 (_ @t342 @t309))) (=> (_ (_ tptp.late_transitions @t335) @t341) @t338))))))))) % 0.49/0.95 (assume @p135 (forall (@list @t43 @t128 @t41 @t296 @t49 @t317) (=> @t349 (=> @t320 (=> @t305 (exists @t314 (and @t313 (_ (_ (_ (_ (_ tptp.strong2129052853vative @t311) @t317) @t296) @t49) @t128)))))))) % 0.49/0.95 (assume @p136 (forall (@list @t128 @t41 @t43 @t362) (=> @t367 (=> (forall @t366 (=> @t365 (=> @t364 (=> @t363 (=> @t333 (=> (_ (_ tptp.fresh_1641682979reeRes @t130) @t362) @t361)))))) @t358)))) % 0.49/0.95 (assume @p137 (forall (@list @t128 @t41 @t43 @t368) (=> @t367 (=> (forall @t366 (=> @t365 (=> @t364 (=> @t363 (=> @t333 (=> (_ (_ tptp.fresh_1376661020_pi_pi @t130) @t368) @t361)))))) @t358)))) % 0.49/0.95 (assume @p138 (forall (@list @t128 @t41 @t43 @t369) (=> @t367 (=> (forall @t366 (=> @t365 (=> @t364 (=> @t363 (=> @t333 (=> (_ (_ tptp.fresh_name_name @t130) @t369) @t361)))))) @t358)))) % 0.49/0.95 (assume @p139 (forall (@list @t128 @t41 @t43 @t370) (=> @t367 (=> (forall @t366 (=> @t365 (=> @t364 (=> @t363 (=> @t333 (=> (_ @t163 @t370) @t361)))))) @t358)))) % 0.49/0.95 (assume @p140 (forall @t374 (=> (forall @t373 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t372) @t335)) @t128)) (_ (_ (_ tptp.strong743114133lation @t371) @t128) @t43)))) % 0.49/0.95 (assume @p141 (forall @t374 (=> (forall @t373 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t335) @t372)) @t128)) (_ @t348 @t371)))) % 0.49/0.95 (assume @p142 (forall (@list @t54 @t49 @t43 @t343 @t19 @t292) (=> (_ @t378 @t344) (not (_ @t375 @t343))))) % 0.49/0.95 (assume @p143 (forall (@list @t49 @t43 @t296 @t19 @t292) (not (_ @t380 (_ (_ @t297 @t19) @t292))))) % 0.49/0.95 (assume @p144 (forall @t381 (_ @t142 tptp.piNil))) % 0.49/0.95 (assume @p145 (forall @t383 (= (_ @t142 @t382) @t143))) % 0.49/0.95 (assume @p146 (forall (@list @t40 @t39) (= (_ (_ (_ tptp.subs tptp.piNil) @t40) @t39) tptp.piNil))) % 0.49/0.95 (assume @p147 (forall @t384 (= (_ (_ (_ tptp.subs @t379) @t40) @t39) (_ tptp.tau @t45)))) % 0.49/0.95 (assume @p148 (forall (@list @t54 @t57 @t73) (= (_ @t386 @t385) (and (_ @t259 @t57) @t143)))) % 0.49/0.95 (assume @p149 (forall (@list @t54 @t49 @t43 @t387 @t292) (not (_ @t378 @t389)))) % 0.49/0.95 (assume @p150 (forall (@list @t57 @t73 @t56 @t72) (= (= @t385 (_ (_ tptp.late_FreeR @t56) @t72)) (and @t58 @t74)))) % 0.49/0.95 (assume @p151 (forall (@list @t128 @t54 @t49 @t43) (not (_ @t390 @t377)))) % 0.49/0.95 (assume @p152 (forall @t374 (not (_ @t390 @t379)))) % 0.49/0.95 (assume @p153 (forall @t392 (not (= tptp.piNil @t391)))) % 0.49/0.95 (assume @p154 (forall @t396 (not (= tptp.piNil @t395)))) % 0.49/0.95 (assume @p155 (forall @t399 (not (= @t398 @t395)))) % 0.49/0.95 (assume @p156 (forall @t400 (= (= @t382 (_ tptp.tau @t72)) @t74))) % 0.49/0.95 (assume @p157 (forall (@list @t49 @t54 @t19 @t43 @t387 @t292) (not (_ @t401 @t389)))) % 0.49/0.95 (assume @p158 (forall (@list @t404 @t403 @t397 @t402 @t120) (not (= (_ (_ (_ tptp.late_BoundR @t404) @t403) @t397) (_ (_ tptp.late_FreeR @t402) @t120))))) % 0.49/0.95 (assume @p159 (forall (@list @t406 @t405) (=> (forall (@list @t411 @t410 @t407) (_ @t406 @t412)) (=> (forall (@list @t408 @t407) (_ @t406 @t409)) (_ @t406 @t405))))) % 0.49/0.95 (assume @p160 (forall @t416 (not (= @t415 @t122)))) % 0.49/0.95 (assume @p161 (forall @t420 (not (= @t415 @t419)))) % 0.49/0.95 (assume @p162 (forall (@list @t397 @t121 @t120) (not (= @t398 @t122)))) % 0.49/0.95 (assume @p163 (forall @t421 (not (= @t398 @t419)))) % 0.49/0.95 (assume @p164 (forall (@list @t303) (not (_ (_ tptp.late_transitions tptp.piNil) @t303)))) % 0.49/0.95 (assume @p165 (forall (@list @t121 @t120) (not (= tptp.piNil @t122)))) % 0.49/0.95 (assume @p166 (forall (@list @t418 @t417) (not (= tptp.piNil @t419)))) % 0.49/0.95 (assume @p167 (forall (@list @t43 @t128) (_ @t348 tptp.piNil))) % 0.49/0.95 (assume @p168 (forall @t424 (=> @t423 (=> @t422 (_ @t327 (_ @t388 @t326)))))) % 0.49/0.95 (assume @p169 (forall (@list @t49 @t43 @t387 @t292) (=> (_ @t433 @t389) (not (forall @t432 (=> @t431 (=> (= @t389 @t429) @t426))))))) % 0.49/0.95 (assume @p170 (forall (@list @t49 @t43 @t387 @t434 @t435) (=> (_ @t433 (_ @t388 @t434)) (=> (forall @t314 (=> @t437 (=> (_ @t436 @t387) (_ @t435 (_ @t50 @t311))))) (_ @t435 @t434))))) % 0.49/0.95 (assume @p171 (forall (@list @t43 @t387 @t292 @t41) (=> @t423 (_ @t316 (_ @t388 @t323))))) % 0.49/0.95 (assume @p172 (forall (@list @t41 @t387 @t317 @t43) (=> @t438 (_ @t316 (_ @t388 @t318))))) % 0.49/0.95 (assume @p173 (forall @t424 (=> @t423 (=> @t295 @t422)))) % 0.49/0.95 (assume @p174 (forall @t424 (=> @t423 (=> @t295 @t293)))) % 0.49/0.95 (assume @p175 (forall (@list @t43 @t128 @t41 @t387 @t317) (=> @t349 (=> @t438 (exists @t314 (and @t437 (_ (_ tptp.member558706512_pi_pi (_ (_ tptp.product_Pair_pi_pi @t311) @t317)) @t128))))))) % 0.49/0.95 (assume @p176 (forall (@list @t49 @t19 @t43 @t303) (not (_ (_ tptp.late_transitions (_ @t50 (_ (_ (_ tptp.input @t49) @t19) @t43))) @t303)))) % 0.49/0.95 (assume @p177 (forall (@list @t41 @t43 @t128) (=> (forall (@list @t332 @t251 @t309) (=> @t442 (=> (_ @t441 @t43) (exists @t356 (and @t440 (_ (_ @t360 @t251) @t128)))))) @t358))) % 0.49/0.95 (assume @p178 (forall (@list @t43 @t296 @t49 @t292) (not (_ @t443 @t299)))) % 0.49/0.95 (assume @p179 (forall (@list @t49 @t303) (not (_ (_ tptp.late_transitions (_ @t50 tptp.piNil)) @t303)))) % 0.49/0.95 (assume @p180 (forall (@list @t445 @t444 @t405) (=> (forall (@list @t411 @t410 @t407 @t446) (=> @t449 (=> @t448 (_ @t447 @t412)))) (=> (forall (@list @t408 @t407 @t446) (_ @t447 @t409)) (_ (_ @t445 @t444) @t405))))) % 0.49/0.95 (assume @p181 (forall (@list @t451 @t450 @t405) (=> (forall (@list @t411 @t410 @t407 @t452) (=> @t454 (=> @t448 (_ @t453 @t412)))) (=> (forall (@list @t408 @t407 @t452) (_ @t453 @t409)) (_ (_ @t451 @t450) @t405))))) % 0.49/0.95 (assume @p182 (forall (@list @t455 @t33 @t405) (=> (forall (@list @t411 @t410 @t407 @t456) (=> @t458 (=> @t448 (_ @t457 @t412)))) (=> (forall (@list @t408 @t407 @t456) (_ @t457 @t409)) (_ (_ @t455 @t33) @t405))))) % 0.49/0.95 (assume @p183 (forall (@list @t460 @t459 @t405) (=> (forall (@list @t411 @t410 @t407 @t461) (=> @t463 (=> @t448 (_ @t462 @t412)))) (=> (forall (@list @t408 @t407 @t461) (_ @t462 @t409)) (_ (_ @t460 @t459) @t405))))) % 0.49/0.95 (assume @p184 (forall (@list @t128 @t41 @t49 @t43 @t362) (=> @t367 (=> @t472 (=> (forall @t469 (=> @t442 (=> @t468 (=> @t467 (=> (_ @t425 @t362) @t466))))) @t465))))) % 0.49/0.95 (assume @p185 (forall (@list @t128 @t41 @t49 @t43 @t368) (=> @t367 (=> @t472 (=> (forall @t469 (=> @t442 (=> @t468 (=> @t467 (=> (_ (_ tptp.fresh_1376661020_pi_pi @t251) @t368) @t466))))) @t465))))) % 0.49/0.95 (assume @p186 (forall (@list @t128 @t41 @t49 @t43 @t369) (=> @t367 (=> @t472 (=> (forall @t469 (=> @t442 (=> @t468 (=> @t467 (=> (_ (_ tptp.fresh_name_name @t251) @t369) @t466))))) @t465))))) % 0.49/0.95 (assume @p187 (forall (@list @t128 @t41 @t49 @t43 @t370) (=> @t367 (=> @t472 (=> (forall @t469 (=> @t442 (=> @t468 (=> @t467 (=> (_ @t441 @t370) @t466))))) @t465))))) % 0.49/0.95 (assume @p188 (forall (@list @t49 @t54 @t19 @t43 @t94 @t33 @t292) (not (_ @t401 (_ (_ @t473 @t33) @t292))))) % 0.49/0.95 (assume @p189 (forall (@list @t49 @t43 @t54 @t94 @t292) (not (_ @t380 @t476)))) % 0.49/0.95 (assume @p190 (forall (@list @t54 @t479 @t78 @t68) (= (_ @t386 @t480) (and (_ @t375 @t479) @t478)))) % 0.49/0.95 (assume @p191 (forall (@list @t43) (_ @t443 (_ @t481 @t43)))) % 0.49/0.95 (assume @p192 (forall (@list @t43 @t303) (=> (_ @t443 @t303) (not (forall @t482 (=> (= @t379 (_ tptp.tau @t336)) (not (= @t303 (_ @t481 @t336))))))))) % 0.49/0.95 (assume @p193 (forall (@list @t65 @t78 @t64 @t77) (= (= @t483 (_ (_ tptp.late_OutputR @t64) @t77)) (and @t66 @t79)))) % 0.49/0.95 (assume @p194 (forall @t485 (= (= @t484 (_ tptp.late_BoundOutputS @t77)) @t79))) % 0.49/0.95 (assume @p195 (forall @t487 (= (_ @t375 @t484) @t486))) % 0.49/0.95 (assume @p196 (forall (@list @t54 @t65 @t78) (= (_ @t259 @t483) (and @t488 @t486)))) % 0.49/0.95 (assume @p197 (forall @t381 (_ @t259 tptp.late_TauR))) % 0.49/0.95 (assume @p198 (forall (@list @t54 @t78 @t68) (= (_ @t142 @t489) @t478))) % 0.49/0.95 (assume @p199 (forall (@list @t54 @t490 @t78 @t68) (= (_ @t142 @t492) (and @t491 @t478)))) % 0.49/0.95 (assume @p200 (forall (@list @t414 @t413) (not (= (_ (_ tptp.late_OutputR @t414) @t413) tptp.late_TauR)))) % 0.49/0.95 (assume @p201 (forall @t268 (= (= @t495 (_ @t494 @t19)) @t493))) % 0.49/0.95 (assume @p202 (forall (@list @t54 @t150 @t219) (= (= @t497 (_ @t496 @t219)) (= @t150 @t219)))) % 0.49/0.95 (assume @p203 (forall @t262 (= (= @t499 (_ @t498 @t258)) (= @t147 @t258)))) % 0.49/0.95 (assume @p204 (forall @t272 (= (= @t501 (_ @t500 @t265)) (= @t151 @t265)))) % 0.49/0.95 (assume @p205 (forall (@list @t503 @t502) (=> (forall (@list @t505 @t504) (_ @t503 (_ (_ tptp.late_OutputR @t505) @t504))) (=> (_ @t503 tptp.late_TauR) (_ @t503 @t502))))) % 0.49/0.95 (assume @p206 (forall (@list @t78 @t68 @t77 @t67) (= (= @t489 (_ (_ tptp.res @t77) @t67)) @t506))) % 0.49/0.95 (assume @p207 (forall (@list @t479 @t78 @t68 @t507 @t77 @t67) (= (= @t480 (_ (_ (_ tptp.late_BoundR @t507) @t77) @t67)) (and (= @t479 @t507) @t506)))) % 0.49/0.95 (assume @p208 (forall (@list @t94 @t54 @t147) (= (_ (_ tptp.fresh_785364841reeRes @t94) @t499) (or @t509 (_ @t508 @t147))))) % 0.49/0.95 (assume @p209 (forall (@list @t94 @t54 @t150) (= (_ (_ tptp.fresh_2065563522_pi_pi @t94) @t497) (or @t509 (_ (_ tptp.fresh_1376661020_pi_pi @t94) @t150))))) % 0.49/0.95 (assume @p210 (forall (@list @t94 @t54 @t49) (= (_ (_ tptp.fresh_1093033124n_name @t94) @t495) (or @t509 (_ (_ tptp.fresh_name_name @t94) @t49))))) % 0.49/0.95 (assume @p211 (forall (@list @t94 @t54 @t151) (= (_ (_ tptp.fresh_543891186ion_pi @t94) @t501) (or @t509 (_ @t139 @t151))))) % 0.49/0.95 (assume @p212 (forall (@list @t490 @t78 @t68 @t510 @t77 @t67) (= (= @t492 (_ (_ (_ tptp.input @t510) @t77) @t67)) (and @t511 @t506)))) % 0.49/0.95 (assume @p213 (forall @t514 (=> @t513 (=> @t153 (_ (_ tptp.late_transitions (_ @t136 @t43)) (_ (_ @t512 @t94) @t292)))))) % 0.49/0.95 (assume @p214 (forall (@list @t49 @t43 @t303) (=> (_ @t433 @t303) (=> (forall @t523 (=> (= @t51 @t522) (forall @t314 (=> (= @t303 @t521) @t520)))) (=> (forall @t517 (=> @t431 (=> (= @t303 @t516) @t515))) (not (forall @t432 (=> @t431 (=> (= @t303 @t429) @t426))))))))) % 0.49/0.95 (assume @p215 (forall (@list @t526 @t43 @t296 @t524 @t292) (=> (_ (_ tptp.late_transitions @t527) @t525) (=> (forall @t523 (=> (= @t527 @t522) (forall @t314 (=> (= @t525 @t521) @t520)))) (not (forall @t517 (=> (= @t527 @t430) (=> (= @t525 @t516) @t515)))))))) % 0.49/0.95 (assume @p216 (forall @t514 (not (_ @t443 @t476)))) % 0.49/0.95 (assume @p217 (forall (@list @t54 @t49 @t43 @t94 @t19 @t292) (not (_ @t378 (_ (_ @t473 @t19) @t292))))) % 0.49/0.95 (assume @p218 (forall (@list @t43 @t387 @t292 @t528) (=> (_ @t443 @t389) (=> (=> (= @t387 tptp.late_TauR) (=> @t530 (_ (_ @t528 tptp.late_TauR) @t43))) @t529)))) % 0.49/0.95 (assume @p219 (forall @t542 (=> @t541 (=> @t539 (=> @t305 (=> @t315 (=> @t295 (=> @t537 (=> @t536 (=> @t535 (=> @t534 (=> (_ @t29 @t317) (=> @t533 @t532))))))))))))) % 0.49/0.95 (assume @p220 (forall @t548 (=> @t547 (=> @t546 (=> @t305 (=> @t315 (=> @t295 (=> @t537 (=> @t536 (=> @t545 (=> @t534 (=> @t293 (=> @t533 @t544))))))))))))) % 0.49/0.95 (assume @p221 (forall @t542 (=> @t541 (=> @t539 (=> @t537 @t532))))) % 0.49/0.95 (assume @p222 (forall @t548 (=> @t547 (=> @t546 (=> @t295 @t544))))) % 0.49/0.95 (assume @p223 (forall @t487 (= (_ @t375 @t549) @t486))) % 0.49/0.95 (assume @p224 (forall (@list @t550 @t404) (=> (forall @t551 (_ @t550 (_ tptp.late_InputS @t410))) (=> (forall @t551 (_ @t550 (_ tptp.late_BoundOutputS @t410))) (_ @t550 @t404))))) % 0.49/0.95 (assume @p225 (forall (@list @t403 @t121) (not (= (_ tptp.late_InputS @t403) (_ tptp.late_BoundOutputS @t121))))) % 0.49/0.95 (assume @p226 (forall (@list @t54 @t49 @t43) @t552)) % 0.49/0.95 (assume @p227 (forall (@list @t49 @t54 @t43) (=> @t536 @t552))) % 0.49/0.95 (assume @p228 (forall @t554 (=> (_ (_ tptp.late_transitions (_ (_ @t376 @t94) @t43)) @t303) (not (forall (@list @t130 @t207 @t336) (=> (and @t553 (= (_ (_ tptp.abs_fun_name_pi @t94) @t43) (_ (_ tptp.abs_fun_name_pi @t130) @t336))) (=> (= @t303 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t207)) @t130) @t336)) (= @t130 @t207)))))))) % 0.49/0.95 (assume @p229 (forall @t557 (=> @t547 (=> @t556 @t555)))) % 0.49/0.95 (assume @p230 (forall @t559 (=> @t513 (=> @t539 @t558)))) % 0.49/0.95 (assume @p231 (forall @t559 (=> @t513 (=> @t539 (=> @t305 (=> @t315 (=> @t536 (=> @t560 (=> @t535 @t558))))))))) % 0.49/0.95 (assume @p232 (forall @t557 (=> @t547 (=> @t556 (=> @t305 (=> @t315 (=> @t536 (=> @t560 (=> @t545 @t555))))))))) % 0.49/0.95 (assume @p233 (forall @t485 (= (= @t549 (_ tptp.late_InputS @t77)) @t79))) % 0.49/0.95 (assume @p234 (forall (@list @t65 @t64) (= (= @t561 (_ tptp.late_BoundOutputS @t64)) @t66))) % 0.49/0.95 (assume @p235 (forall (@list @t565 @t563 @t564 @t562) (= (= @t566 (_ (_ tptp.late_OutputR @t564) @t562)) (and (= @t565 @t564) (= @t563 @t562))))) % 0.49/0.95 (assume @p236 (forall (@list @t258) (=> (forall (@list @t568 @t567) (not (= @t258 (_ (_ tptp.late_OutputR @t568) @t567)))) (= @t258 tptp.late_TauR)))) % 0.49/0.95 (assume @p237 (forall (@list @t565 @t563) (not (= @t566 tptp.late_TauR)))) % 0.49/0.95 (assume @p238 (forall (@list @t78 @t65) (not (= @t549 @t561)))) % 0.49/0.95 (assume @p239 (forall (@list @t570) (=> (forall (@list @t571) (not (= @t570 (_ tptp.late_InputS @t571)))) (not (forall (@list @t569) (not (= @t570 (_ tptp.late_BoundOutputS @t569)))))))) % 0.49/0.95 (assume @p240 (forall (@list @t49 @t54 @t94 @t43 @t292) (not (_ @t575 @t572)))) % 0.49/0.95 (assume @p241 (forall (@list @t49 @t54 @t94 @t43 @t40 @t19 @t292) (not (_ @t575 (_ (_ (_ tptp.late_BoundR (_ tptp.late_InputS @t40)) @t19) @t292))))) % 0.49/0.95 (assume @p242 (forall (@list @t49 @t54 @t43 @t94 @t19 @t292) (not (_ (_ tptp.late_transitions (_ @t50 (_ (_ @t573 @t49) @t43))) (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t94) @t19)) @t292))))) % 0.49/0.95 (assume @p243 (forall @t578 (= (_ @t142 @t577) @t576))) % 0.49/0.95 (assume @p244 (forall @t416 (not (= @t579 @t122)))) % 0.49/0.95 (assume @p245 (forall @t420 (not (= @t579 @t419)))) % 0.49/0.95 (assume @p246 (forall @t580 (not (= @t579 @t395)))) % 0.49/0.95 (assume @p247 (forall @t396 (not (= tptp.piNil (_ (_ (_ tptp.output @t394) @t393) @t120))))) % 0.49/0.95 (assume @p248 (forall @t581 (not (= @t579 @t391)))) % 0.49/0.95 (assume @p249 (forall @t583 (= (= @t577 (_ (_ (_ tptp.output @t510) @t64) @t72)) @t582))) % 0.49/0.95 (assume @p250 (forall (@list @t49 @t94 @t43 @t303) (not (_ (_ tptp.late_transitions (_ @t50 (_ (_ (_ tptp.output @t49) @t94) @t43))) @t303)))) % 0.49/0.95 (assume @p251 (forall (@list @t54 @t94 @t43 @t584 @t49 @t292) (not (_ @t585 (_ (_ (_ tptp.late_BoundR @t584) @t49) @t292))))) % 0.49/0.95 (assume @p252 (forall (@list @t128 @t54 @t94 @t43) (not (_ @t390 @t574)))) % 0.49/0.95 (assume @p253 (forall (@list @t54 @t94 @t43 @t387 @t292 @t528) (=> @t586 (=> (=> (= @t387 @t474) (=> @t530 (_ (_ @t528 @t474) @t43))) @t529)))) % 0.49/0.95 (assume @p254 (forall @t554 (=> (_ @t585 @t303) (not (forall (@list @t207 @t182 @t336) (=> @t588 (not (= @t303 (_ @t519 @t336))))))))) % 0.49/0.95 (assume @p255 (forall (@list @t54 @t94 @t43 @t40 @t39 @t292) (=> (_ @t585 (_ (_ tptp.late_FreeR (_ (_ tptp.late_OutputR @t40) @t39)) @t292)) (not (or @t156 (not (= @t94 @t39))))))) % 0.49/0.95 (assume @p256 (forall @t154 (_ @t585 (_ @t475 @t43)))) % 0.49/0.95 (assume @p257 (forall (@list @t54 @t94 @t43 @t292) (not (_ @t585 @t572)))) % 0.49/0.95 (assume @p258 (forall (@list @t54 @t94 @t43 @t387 @t292) (=> @t586 (not (or (_ @t259 @t387) (_ @t508 @t387)))))) % 0.49/0.95 (assume @p259 (forall @t592 (= (_ (_ (_ tptp.subs @t574) @t40) @t39) (_ (_ (_ tptp.output @t591) @t589) @t45)))) % 0.49/0.95 (assume @p260 (forall (@list @t49 @t54 @t40 @t39 @t43) (=> @t536 (=> @t53 (=> @t52 (= (_ (_ @t593 @t40) @t39) (_ (_ (_ tptp.input @t591) @t49) @t45))))))) % 0.49/0.95 (assume @p261 (forall (@list @t49 @t94 @t40 @t54 @t43) (=> @t560 (=> @t53 (= (_ (_ @t593 @t94) @t40) (_ (_ (_ tptp.input (_ (_ @t590 @t94) @t40)) @t49) @t155)))))) % 0.49/0.95 (assume @p262 (forall @t592 (= (_ (_ (_ tptp.subs @t595) @t40) @t39) (_ (_ (_ tptp.mismatch @t591) @t589) @t45)))) % 0.49/0.95 (assume @p263 (forall @t592 (= (_ (_ (_ tptp.subs @t596) @t40) @t39) (_ (_ (_ tptp.match @t591) @t589) @t45)))) % 0.49/0.95 (assume @p264 (forall @t578 (= (_ @t142 @t597) @t576))) % 0.49/0.95 (assume @p265 (forall @t578 (= (_ @t142 @t598) @t576))) % 0.49/0.95 (assume @p266 (forall @t603 (=> @t602 (=> (=> @t306 (=> @t152 (_ @t600 @t54))) @t601)))) % 0.49/0.95 (assume @p267 (forall @t554 (=> @t602 @t152))) % 0.49/0.95 (assume @p268 (forall @t554 (=> @t602 (not (forall @t482 (=> (and @t509 @t587) (not @t604))))))) % 0.49/0.95 (assume @p269 (forall @t603 (=> @t605 (=> (=> @t306 (=> @t153 @t601)) @t601)))) % 0.49/0.95 (assume @p270 (forall (@list @t54 @t43 @t303) (not (_ (_ tptp.late_transitions @t606) @t303)))) % 0.49/0.95 (assume @p271 (forall @t554 (=> @t605 (not (forall @t523 (=> @t588 (=> @t604 @t518))))))) % 0.49/0.95 (assume @p272 (forall (@list @t43 @t303 @t94) (=> @t306 (_ (_ tptp.late_transitions (_ (_ (_ tptp.match @t94) @t94) @t43)) @t303)))) % 0.49/0.95 (assume @p273 (forall (@list @t43 @t303 @t54 @t94) (=> @t306 (=> @t153 @t605)))) % 0.49/0.95 (assume @p274 (forall @t416 (not (= @t607 @t122)))) % 0.49/0.95 (assume @p275 (forall @t416 (not (= @t608 @t122)))) % 0.49/0.95 (assume @p276 (forall @t420 (not (= @t607 @t419)))) % 0.49/0.95 (assume @p277 (forall @t420 (not (= @t608 @t419)))) % 0.49/0.95 (assume @p278 (forall @t580 (not (= @t415 @t609)))) % 0.49/0.95 (assume @p279 (forall @t580 (not (= @t415 @t610)))) % 0.49/0.95 (assume @p280 (forall @t396 (not (= tptp.piNil @t609)))) % 0.49/0.95 (assume @p281 (forall @t396 (not (= tptp.piNil @t610)))) % 0.49/0.95 (assume @p282 (forall @t399 (not (= @t398 @t609)))) % 0.49/0.95 (assume @p283 (forall @t399 (not (= @t398 @t610)))) % 0.49/0.95 (assume @p284 (forall @t583 (= (= @t598 (_ (_ (_ tptp.mismatch @t510) @t64) @t72)) @t582))) % 0.49/0.95 (assume @p285 (forall @t583 (= (= @t597 (_ (_ (_ tptp.match @t510) @t64) @t72)) @t582))) % 0.49/0.95 (assume @p286 (forall @t580 (not (= @t607 @t610)))) % 0.49/0.95 (assume @p287 (forall @t580 (not (= @t579 @t609)))) % 0.49/0.95 (assume @p288 (forall @t580 (not (= @t579 @t610)))) % 0.49/0.95 (assume @p289 (forall (@list @t54 @t94 @t128 @t43) (=> @t153 (_ @t390 @t596)))) % 0.49/0.95 (assume @p290 (forall (@list @t128 @t54 @t43) (_ @t390 @t606))) % 0.49/0.95 (assume @p291 (forall (@list @t611 @t444 @t397) (=> (forall (@list @t446) (_ @t613 tptp.piNil)) (=> (forall @t628 (=> @t617 (_ @t613 @t634))) (=> (forall @t618 (=> @t617 (_ @t613 @t633))) (=> (forall @t628 (=> (_ (_ tptp.fresh_1641682979reeRes @t504) @t446) (=> @t632 (=> @t617 (_ @t613 @t630))))) (=> (forall @t628 (=> @t617 (_ @t613 @t629))) (=> (forall @t628 (=> @t617 (_ @t613 @t627))) (=> (forall @t625 (=> @t624 (=> @t623 (_ @t613 @t626)))) (=> (forall @t625 (=> @t624 (=> @t623 (_ @t613 @t622)))) (=> (forall (@list @t410 @t407 @t446) (=> @t449 (=> @t617 (_ @t613 @t619)))) (=> (forall @t618 (=> @t617 (_ @t613 @t612))) (_ (_ @t611 @t444) @t397))))))))))))) % 0.49/0.95 (assume @p292 (forall (@list @t635 @t450 @t397) (=> (forall (@list @t452) (_ @t636 tptp.piNil)) (=> (forall @t645 (=> @t640 (_ @t636 @t634))) (=> (forall @t641 (=> @t640 (_ @t636 @t633))) (=> (forall @t645 (=> (_ (_ tptp.fresh_1376661020_pi_pi @t504) @t452) (=> @t632 (=> @t640 (_ @t636 @t630))))) (=> (forall @t645 (=> @t640 (_ @t636 @t629))) (=> (forall @t645 (=> @t640 (_ @t636 @t627))) (=> (forall @t644 (=> @t643 (=> @t642 (_ @t636 @t626)))) (=> (forall @t644 (=> @t643 (=> @t642 (_ @t636 @t622)))) (=> (forall (@list @t410 @t407 @t452) (=> @t454 (=> @t640 (_ @t636 @t619)))) (=> (forall @t641 (=> @t640 (_ @t636 @t612))) (_ (_ @t635 @t450) @t397))))))))))))) % 0.49/0.95 (assume @p293 (forall (@list @t646 @t33 @t397) (=> (forall (@list @t456) (_ @t647 tptp.piNil)) (=> (forall @t656 (=> @t651 (_ @t647 @t634))) (=> (forall @t652 (=> @t651 (_ @t647 @t633))) (=> (forall @t656 (=> (_ @t631 @t456) (=> @t632 (=> @t651 (_ @t647 @t630))))) (=> (forall @t656 (=> @t651 (_ @t647 @t629))) (=> (forall @t656 (=> @t651 (_ @t647 @t627))) (=> (forall @t655 (=> @t654 (=> @t653 (_ @t647 @t626)))) (=> (forall @t655 (=> @t654 (=> @t653 (_ @t647 @t622)))) (=> (forall (@list @t410 @t407 @t456) (=> @t458 (=> @t651 (_ @t647 @t619)))) (=> (forall @t652 (=> @t651 (_ @t647 @t612))) (_ (_ @t646 @t33) @t397))))))))))))) % 0.49/0.95 (assume @p294 (forall (@list @t657 @t459 @t397) (=> (forall (@list @t461) (_ @t658 tptp.piNil)) (=> (forall @t667 (=> @t662 (_ @t658 @t634))) (=> (forall @t663 (=> @t662 (_ @t658 @t633))) (=> (forall @t667 (=> (_ (_ tptp.fresh_name_pi @t504) @t461) (=> @t632 (=> @t662 (_ @t658 @t630))))) (=> (forall @t667 (=> @t662 (_ @t658 @t629))) (=> (forall @t667 (=> @t662 (_ @t658 @t627))) (=> (forall @t666 (=> @t665 (=> @t664 (_ @t658 @t626)))) (=> (forall @t666 (=> @t665 (=> @t664 (_ @t658 @t622)))) (=> (forall (@list @t410 @t407 @t461) (=> @t463 (=> @t662 (_ @t658 @t619)))) (=> (forall @t663 (=> @t662 (_ @t658 @t612))) (_ (_ @t657 @t459) @t397))))))))))))) % 0.49/0.95 (assume @p295 (forall @t383 (= (_ @t142 @t668) @t143))) % 0.49/0.95 (assume @p296 (forall @t146 (= (_ @t142 @t669) @t144))) % 0.49/0.95 (assume @p297 (forall @t384 (= (_ (_ (_ tptp.subs (_ tptp.bang @t43)) @t40) @t39) (_ tptp.bang @t45)))) % 0.49/0.95 (assume @p298 (forall @t48 (= (_ (_ (_ tptp.subs @t670) @t40) @t39) (_ (_ tptp.sum @t45) @t42)))) % 0.49/0.95 (assume @p299 (forall @t581 (not (= @t608 @t671)))) % 0.49/0.95 (assume @p300 (forall @t420 (not (= @t608 @t672)))) % 0.49/0.95 (assume @p301 (forall @t581 (not (= @t607 @t671)))) % 0.49/0.95 (assume @p302 (forall @t420 (not (= @t607 @t672)))) % 0.49/0.95 (assume @p303 (forall @t581 (not (= @t579 @t671)))) % 0.49/0.95 (assume @p304 (forall @t420 (not (= @t579 @t672)))) % 0.49/0.95 (assume @p305 (forall (@list @t403 @t397 @t120) (not (= (_ (_ tptp.res @t403) @t397) @t671)))) % 0.49/0.95 (assume @p306 (forall @t673 (not (= @t125 @t671)))) % 0.49/0.95 (assume @p307 (forall @t581 (not (= @t415 @t671)))) % 0.49/0.95 (assume @p308 (forall @t392 (not (= tptp.piNil @t671)))) % 0.49/0.95 (assume @p309 (forall (@list @t41 @t303 @t43) (=> @t675 @t674))) % 0.49/0.95 (assume @p310 (forall (@list @t43 @t303 @t41) (=> @t306 @t674))) % 0.49/0.95 (assume @p311 (forall (@list @t43 @t41 @t303) (=> @t674 (=> (not @t306) @t675)))) % 0.49/0.95 (assume @p312 (forall (@list @t397 @t120) (not (= @t398 @t671)))) % 0.49/0.95 (assume @p313 (forall @t126 (not (= @t676 @t122)))) % 0.49/0.95 (assume @p314 (forall (@list @t124 @t123 @t418 @t417) (not (= @t676 @t419)))) % 0.49/0.95 (assume @p315 (forall @t673 (not (= @t676 @t671)))) % 0.49/0.95 (assume @p316 (forall @t257 (= (= @t669 (_ (_ tptp.sum @t67) @t72)) @t256))) % 0.49/0.95 (assume @p317 (forall @t400 (= (= @t668 (_ tptp.bang @t72)) @t74))) % 0.49/0.95 (assume @p318 (forall @t421 (not (= @t398 @t672)))) % 0.49/0.95 (assume @p319 (forall (@list @t677) (or (= @t677 true) (= @t677 false)))) % 0.49/0.95 (assume @p320 (forall @t678 (= (_ (_ (_ tptp.if_name false) @t49) @t19) @t19))) % 0.49/0.95 (assume @p321 (forall @t678 (= (_ (_ (_ tptp.if_name true) @t49) @t19) @t49))) % 0.49/0.95 (assume @p322 @t682) % 0.49/0.95 (assume @p323 true) % 0.49/0.95 (step @p324 (= tptp.strong743114133lation @t696) :rule refl :args (@t696)) % 0.49/0.95 (step @p325 (= tptp.fresh_name_name @t700) :rule refl :args (@t700)) % 0.49/0.95 (step @p326 (= tptp.subst_name @t702) :rule refl :args (@t702)) % 0.49/0.95 (step @p327 :rule refl :args ((tptp.member558706512_pi_pi @t27 tptp.rel))) % 0.49/0.95 (step @p328 :rule refl :args (tptp.rel)) % 0.49/0.95 (step @p329 :rule refl :args ((tptp.product_Pair_pi_pi @t26 @t24))) % 0.49/0.95 (step @p330 :rule refl :args ((tptp.par @t22 @t21))) % 0.49/0.95 (step @p331 :rule refl :args (@t703)) % 0.49/0.95 (step @p332 :rule refl :args (@t22)) 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:args (@t24)) % 0.49/0.95 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 0.49/0.95 (step @p364 :rule refl :args (@t21)) % 0.49/0.95 (step @p365 :rule cong :premises (@p364 @p331) :args ((= @t21 @t703))) % 0.49/0.95 (step @p366 :rule symm :premises (@p365)) % 0.49/0.95 (step @p367 :rule eq_resolve :premises (@p364 @p366)) % 0.49/0.95 (step @p368 :rule ho_cong :premises (@p358 @p367)) % 0.49/0.95 (step @p369 :rule trans :premises (@p368 @p363)) % 0.49/0.95 (step @p370 :rule refl :args (@t20)) % 0.49/0.95 (step @p371 :rule ho_cong :premises (@p370 @p336)) % 0.49/0.95 (step @p372 :rule cong :premises (@p371 @p339) :args ((= (_ @t20 @t705) @t706))) % 0.49/0.95 (step @p373 :rule symm :premises (@p372)) % 0.49/0.95 (step @p374 :rule refl :args (@t26)) % 0.49/0.95 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 0.49/0.95 (step @p376 :rule refl :args (@t25)) % 0.49/0.95 (step @p377 :rule cong :premises (@p376 @p336) :args ((= @t25 @t705))) % 0.49/0.95 (step @p378 :rule symm 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:rule refl :args (@t714)) % 0.49/0.95 (step @p410 :rule cong :premises (@p409 @p408) :args (@t715)) % 0.49/0.95 (step @p411 :rule trans :premises (@p410 @p402)) % 0.49/0.95 (step @p412 :rule refl :args ((tptp.subs @t14 tptp.y tptp.u))) % 0.49/0.95 (step @p413 :rule refl :args ((tptp.res tptp.x @t13))) % 0.49/0.95 (step @p414 :rule refl :args (@t716)) % 0.49/0.95 (step @p415 :rule refl :args (tptp.x)) % 0.49/0.95 (step @p416 :rule cong :premises (@p415 @p414) :args (@t717)) % 0.49/0.95 (step @p417 :rule trans :premises (@p416 @p413)) % 0.49/0.95 (step @p418 :rule cong :premises (@p417 @p405 @p404) :args (@t718)) % 0.49/0.95 (step @p419 :rule trans :premises (@p418 @p412)) % 0.49/0.95 (step @p420 :rule cong :premises (@p419 @p411) :args (@t719)) % 0.49/0.95 (step @p421 :rule trans :premises (@p420 @p401)) % 0.49/0.95 (step @p422 :rule cong :premises (@p421 @p328) :args (@t720)) % 0.49/0.95 (step @p423 :rule trans :premises (@p422 @p400)) % 0.49/0.95 (step @p424 :rule ho_cong :premises (@p344 @p421)) % 0.49/0.95 (step @p425 :rule ho_cong :premises (@p424 @p328)) % 0.49/0.95 (step @p426 :rule cong :premises (@p425 @p423) :args ((= (_ (_ tptp.member558706512_pi_pi @t719) tptp.rel) @t720))) % 0.49/0.95 (step @p427 :rule symm :premises (@p426)) % 0.49/0.95 (step @p428 :rule refl :args (@t681)) % 0.49/0.95 (step @p429 :rule eq_resolve :premises (@p428 @p427)) % 0.49/0.95 (step @p430 :rule refl :args (tptp.rel)) % 0.49/0.95 (step @p431 :rule ho_cong :premises (@p351 @p419)) % 0.49/0.95 (step @p432 :rule ho_cong :premises (@p431 @p411)) % 0.49/0.95 (step @p433 :rule cong :premises (@p432 @p421) :args ((= (_ (_ tptp.product_Pair_pi_pi @t718) @t715) @t719))) % 0.49/0.95 (step @p434 :rule symm :premises (@p433)) % 0.49/0.95 (step @p435 :rule refl :args (@t680)) % 0.49/0.95 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 0.49/0.95 (step @p437 :rule refl :args (tptp.par)) % 0.49/0.95 (step @p438 :rule ho_cong :premises (@p437 @p409)) % 0.49/0.95 (step @p439 :rule ho_cong :premises (@p438 @p408)) % 0.49/0.95 (step @p440 :rule cong :premises (@p439 @p411) :args ((= (_ @t721 @t713) @t715))) % 0.49/0.95 (step @p441 :rule symm :premises (@p440)) % 0.49/0.95 (step @p442 :rule refl :args (@t679)) % 0.49/0.95 (step @p443 :rule eq_resolve :premises (@p442 @p441)) % 0.49/0.95 (step @p444 :rule refl :args (tptp.subs)) % 0.49/0.95 (step @p445 :rule ho_cong :premises (@p444 @p406)) % 0.49/0.95 (step @p446 :rule ho_cong :premises (@p445 @p405)) % 0.49/0.95 (step @p447 :rule ho_cong :premises (@p446 @p404)) % 0.49/0.95 (step @p448 :rule cong :premises (@p447 @p408) :args ((= (_ (_ (_ tptp.subs @t712) tptp.y) tptp.u) @t713))) % 0.49/0.95 (step @p449 :rule symm :premises (@p448)) % 0.49/0.95 (step @p450 :rule refl :args (@t5)) % 0.49/0.95 (step @p451 :rule eq_resolve :premises (@p450 @p449)) % 0.49/0.95 (step @p452 :rule refl :args (tptp.u)) % 0.49/0.95 (step @p453 :rule refl :args (tptp.y)) % 0.49/0.95 (step @p454 :rule refl :args (@t4)) % 0.49/0.95 (step @p455 :rule cong :premises (@p454 @p406) :args ((= @t4 @t712))) % 0.49/0.95 (step @p456 :rule symm :premises (@p455)) % 0.49/0.95 (step @p457 :rule eq_resolve :premises (@p454 @p456)) % 0.49/0.95 (step @p458 :rule refl :args (tptp.subs)) % 0.49/0.95 (step @p459 :rule ho_cong :premises (@p458 @p457)) % 0.49/0.95 (step @p460 :rule ho_cong :premises (@p459 @p453)) % 0.49/0.95 (step @p461 :rule ho_cong :premises (@p460 @p452)) % 0.49/0.95 (step @p462 :rule trans :premises (@p461 @p451)) % 0.49/0.95 (step @p463 :rule refl :args (@t7)) % 0.49/0.95 (step @p464 :rule cong :premises (@p463 @p409) :args ((= @t7 @t714))) % 0.49/0.95 (step @p465 :rule symm :premises (@p464)) % 0.49/0.95 (step @p466 :rule eq_resolve :premises (@p463 @p465)) % 0.49/0.95 (step @p467 :rule refl :args (tptp.par)) % 0.49/0.95 (step @p468 :rule ho_cong :premises (@p467 @p466)) % 0.49/0.95 (step @p469 :rule ho_cong :premises (@p468 @p462)) % 0.49/0.95 (step @p470 :rule trans :premises (@p469 @p443)) % 0.49/0.95 (step @p471 :rule ho_cong :premises (@p444 @p417)) % 0.49/0.95 (step @p472 :rule ho_cong :premises (@p471 @p405)) % 0.49/0.95 (step @p473 :rule ho_cong :premises (@p472 @p404)) % 0.49/0.95 (step @p474 :rule cong :premises (@p473 @p419) :args ((= (_ (_ (_ tptp.subs @t717) tptp.y) tptp.u) @t718))) % 0.49/0.95 (step @p475 :rule symm :premises (@p474)) % 0.49/0.95 (step @p476 :rule refl :args (@t15)) % 0.49/0.95 (step @p477 :rule eq_resolve :premises (@p476 @p475)) % 0.49/0.95 (step @p478 :rule refl :args (@t2)) % 0.49/0.95 (step @p479 :rule ho_cong :premises (@p478 @p414)) % 0.49/0.95 (step @p480 :rule cong :premises (@p479 @p417) :args ((= (_ @t2 @t716) @t717))) % 0.49/0.95 (step @p481 :rule symm :premises (@p480)) % 0.49/0.95 (step @p482 :rule refl :args (@t14)) % 0.49/0.95 (step @p483 :rule eq_resolve :premises (@p482 @p481)) % 0.49/0.95 (step @p484 :rule refl :args (@t13)) % 0.49/0.95 (step @p485 :rule cong :premises (@p484 @p414) :args ((= @t13 @t716))) % 0.49/0.95 (step @p486 :rule symm :premises (@p485)) % 0.49/0.95 (step @p487 :rule eq_resolve :premises (@p484 @p486)) % 0.49/0.95 (step @p488 :rule refl :args (@t2)) % 0.49/0.95 (step @p489 :rule ho_cong :premises (@p488 @p487)) % 0.49/0.95 (step @p490 :rule trans :premises (@p489 @p483)) % 0.49/0.95 (step @p491 :rule ho_cong :premises (@p458 @p490)) % 0.49/0.95 (step @p492 :rule ho_cong :premises (@p491 @p453)) % 0.49/0.95 (step @p493 :rule ho_cong :premises (@p492 @p452)) % 0.49/0.95 (step @p494 :rule trans :premises (@p493 @p477)) % 0.49/0.95 (step @p495 :rule refl :args (tptp.product_Pair_pi_pi)) % 0.49/0.95 (step @p496 :rule ho_cong :premises (@p495 @p494)) % 0.49/0.95 (step @p497 :rule ho_cong :premises (@p496 @p470)) % 0.49/0.95 (step @p498 :rule trans :premises (@p497 @p436)) % 0.49/0.95 (step @p499 :rule refl :args (tptp.member558706512_pi_pi)) % 0.49/0.95 (step @p500 :rule ho_cong :premises (@p499 @p498)) % 0.49/0.95 (step @p501 :rule ho_cong :premises (@p500 @p430)) % 0.49/0.95 (step @p502 :rule trans :premises (@p501 @p429)) % 0.49/0.95 (step @p503 :rule cong :premises (@p502) :args (@t682)) % 0.49/0.95 (step @p504 :rule eq_resolve :premises (@p322 @p503)) % 0.49/0.95 (step @p505 :rule false_intro :premises (@p504)) % 0.49/0.95 (step @p506 :rule eq-symm :args (@t713 @t723)) % 0.49/0.95 (step @p507 :rule refl :args ((tptp.res tptp.x @t1))) % 0.49/0.95 (step @p508 :rule refl :args (@t722)) % 0.49/0.95 (step @p509 :rule cong :premises (@p415 @p508) :args (@t723)) % 0.49/0.95 (step @p510 :rule trans :premises (@p509 @p507)) % 0.49/0.95 (step @p511 :rule ho_cong :premises (@p478 @p508)) % 0.49/0.95 (step @p512 :rule cong :premises (@p511 @p510) :args ((= (_ @t2 @t722) @t723))) % 0.49/0.95 (step @p513 :rule symm :premises (@p512)) % 0.49/0.95 (step @p514 :rule refl :args (@t3)) % 0.49/0.95 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 0.49/0.95 (step @p516 :rule refl :args (@t1)) % 0.49/0.95 (step @p517 :rule cong :premises (@p516 @p508) :args ((= @t1 @t722))) % 0.49/0.95 (step @p518 :rule symm :premises (@p517)) % 0.49/0.95 (step @p519 :rule eq_resolve :premises (@p516 @p518)) % 0.49/0.95 (step @p520 :rule ho_cong :premises (@p488 @p519)) % 0.49/0.95 (step @p521 :rule trans :premises (@p520 @p515)) % 0.49/0.95 (step @p522 :rule cong :premises (@p462 @p521) :args (@t6)) % 0.49/0.95 (step @p523 :rule trans :premises (@p522 @p506)) % 0.49/0.95 (step @p524 :rule eq_resolve :premises (@p2 @p523)) % 0.49/0.95 (step @p525 :rule refl :args (@t714)) % 0.49/0.95 (step @p526 :rule cong :premises (@p525 @p524) :args (@t724)) % 0.49/0.95 (step @p527 :rule eq-symm :args (@t718 @t726)) % 0.49/0.95 (step @p528 :rule refl :args ((tptp.res tptp.x @t11))) % 0.49/0.95 (step @p529 :rule refl :args ((tptp.par @t7 @t1))) % 0.49/0.95 (step @p530 :rule cong :premises (@p409 @p508) :args (@t725)) % 0.49/0.95 (step @p531 :rule trans :premises (@p530 @p529)) % 0.49/0.95 (step @p532 :rule cong :premises (@p415 @p531) :args (@t726)) % 0.49/0.95 (step @p533 :rule trans :premises (@p532 @p528)) % 0.49/0.95 (step @p534 :rule ho_cong :premises (@p478 @p531)) % 0.49/0.95 (step @p535 :rule cong :premises (@p534 @p533) :args ((= (_ @t2 @t725) @t726))) % 0.49/0.95 (step @p536 :rule symm :premises (@p535)) % 0.49/0.95 (step @p537 :rule refl :args (@t12)) % 0.49/0.95 (step @p538 :rule eq_resolve :premises (@p537 @p536)) % 0.49/0.95 (step @p539 :rule ho_cong :premises (@p438 @p508)) % 0.49/0.95 (step @p540 :rule cong :premises (@p539 @p531) :args ((= (_ @t721 @t722) @t725))) % 0.49/0.95 (step @p541 :rule symm :premises (@p540)) % 0.49/0.95 (step @p542 :rule refl :args (@t11)) % 0.49/0.95 (step @p543 :rule eq_resolve :premises (@p542 @p541)) % 0.49/0.95 (step @p544 :rule ho_cong :premises (@p468 @p519)) % 0.49/0.95 (step @p545 :rule trans :premises (@p544 @p543)) % 0.49/0.95 (step @p546 :rule ho_cong :premises (@p488 @p545)) % 0.49/0.95 (step @p547 :rule trans :premises (@p546 @p538)) % 0.49/0.95 (step @p548 :rule cong :premises (@p494 @p547) :args (@t16)) % 0.49/0.95 (step @p549 :rule trans :premises (@p548 @p527)) % 0.49/0.95 (step @p550 :rule eq_resolve :premises (@p6 @p549)) % 0.49/0.95 (step @p551 :rule cong :premises (@p550 @p526) :args (@t727)) % 0.49/0.95 (step @p552 :rule cong :premises (@p551 @p430) :args (@t728)) % 0.49/0.95 (step @p553 :rule trans :premises (@p552 @p505)) % 0.49/0.95 (step @p554 :rule false_elim :premises (@p553)) % 0.49/0.95 (step @p555 :rule refl :args ((tptp.fresh_name_pi tptp.x @t7))) % 0.49/0.95 (step @p556 :rule cong :premises (@p415 @p409) :args (@t729)) % 0.49/0.95 (step @p557 :rule trans :premises (@p556 @p555)) % 0.49/0.95 (step @p558 :rule refl :args (@t8)) % 0.49/0.95 (step @p559 :rule ho_cong :premises (@p558 @p409)) % 0.49/0.95 (step @p560 :rule cong :premises (@p559 @p557) :args ((= (_ @t8 @t714) @t729))) % 0.49/0.95 (step @p561 :rule symm :premises (@p560)) % 0.49/0.95 (step @p562 :rule refl :args (@t9)) % 0.49/0.95 (step @p563 :rule eq_resolve :premises (@p562 @p561)) % 0.49/0.95 (step @p564 :rule refl :args (@t8)) % 0.49/0.95 (step @p565 :rule ho_cong :premises (@p564 @p466)) % 0.49/0.95 (step @p566 :rule trans :premises (@p565 @p563)) % 0.49/0.95 (step @p567 :rule eq_resolve :premises (@p4 @p566)) % 0.49/0.95 (step @p568 :rule cnf_or_pos :args (@t731)) % 0.49/0.95 (step @p569 :rule reordering :premises (@p568) :args ((or @t730 @t728 @t732))) % 0.49/0.95 (step @p570 :rule chain_m_resolution :premises (@p569 @p567 @p554) :args (@t732 (@list false true) (@list @t729 @t728))) % 0.49/0.95 (assume-push @p577 @t733) % 0.49/0.95 (step @p572 :rule instantiate :premises (@p399) :args ((@list tptp.x @t714 @t722))) % 0.49/0.95 (step-pop @p578 :rule scope :premises (@p572)) % 0.49/0.95 (step @p573 :rule process_scope :premises (@p578) :args (@t731)) % 0.49/0.95 (step @p575 :rule implies_elim :premises (@p573)) % 0.49/0.95 (step @p576 false :rule chain_m_resolution :premises (@p575 @p570 @p399) :args (false (@list true false) (@list @t731 @t733))) % 0.49/0.95 ) % 0.49/0.95 % SZS output end Proof % 0.49/0.95 % cvc5 exiting %------------------------------------------------------------------------------