%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP165^1 : 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 : n003.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 08:25:15 AM UTC 2026 % Result : Theorem 1.01s 1.27s % Output : Proof 1.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP165^1 : 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 % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:16:59 EDT 2026 % 0.15/0.34 % CPUTime : % 0.37/0.60 %----Proving TH0 % 1.01/1.27 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.01/1.27 % SZS status Theorem % 1.01/1.27 % SZS output start Proof % 1.01/1.27 ( % 1.01/1.27 (declare-sort tptp.refine424419629nres_a 0) % 1.01/1.27 (declare-sort tptp.refine787176636t_unit 0) % 1.01/1.27 (declare-sort tptp.a 0) % 1.01/1.27 (declare-sort tptp.product_unit 0) % 1.01/1.27 (declare-sort tptp.set_a 0) % 1.01/1.27 (declare-sort tptp.set_Product_unit 0) % 1.01/1.27 (declare-const tptp.refine1001002027nres_a (-> tptp.refine424419629nres_a tptp.a Bool)) % 1.01/1.27 (declare-const tptp.refine1198353288_RES_a (-> tptp.set_a tptp.refine424419629nres_a)) % 1.01/1.27 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 1.01/1.27 (declare-const tptp.refine558004794t_unit (-> tptp.refine787176636t_unit tptp.product_unit Bool)) % 1.01/1.27 (declare-const tptp.refine1777164439t_unit (-> tptp.set_Product_unit tptp.refine787176636t_unit)) % 1.01/1.27 (declare-const tptp.member_Product_unit (-> tptp.product_unit tptp.set_Product_unit Bool)) % 1.01/1.27 (declare-const tptp.bot_bot_set_a tptp.set_a) % 1.01/1.27 (declare-const tptp.insert_a (-> tptp.a tptp.set_a tptp.set_a)) % 1.01/1.27 (declare-const tptp.bot_bo658782032t_unit tptp.refine787176636t_unit) % 1.01/1.27 (declare-const tptp.b Bool) % 1.01/1.27 (declare-const tptp.s1 tptp.refine424419629nres_a) % 1.01/1.27 (declare-const tptp.phi (-> tptp.a Bool)) % 1.01/1.27 (declare-const tptp.top_top_set_a tptp.set_a) % 1.01/1.27 (declare-const tptp.top_to231829469nres_a tptp.refine424419629nres_a) % 1.01/1.27 (declare-const tptp.top_to177290092t_unit tptp.refine787176636t_unit) % 1.01/1.27 (declare-const tptp.partia906949161nres_a (-> tptp.refine424419629nres_a tptp.refine424419629nres_a tptp.refine424419629nres_a Bool)) % 1.01/1.27 (declare-const tptp.partia1658438072t_unit (-> tptp.refine787176636t_unit tptp.refine787176636t_unit tptp.refine787176636t_unit Bool)) % 1.01/1.27 (declare-const tptp.if_o_R1705037948nres_a (-> Bool (-> Bool tptp.refine424419629nres_a) (-> Bool tptp.refine424419629nres_a) Bool tptp.refine424419629nres_a)) % 1.01/1.27 (declare-const tptp.uminus_uminus_set_a (-> tptp.set_a tptp.set_a)) % 1.01/1.27 (declare-const tptp.refine1420258419t_unit (-> tptp.product_unit tptp.refine787176636t_unit)) % 1.01/1.27 (declare-const tptp.refine1822134885_RES_a (-> tptp.refine424419629nres_a tptp.set_a)) % 1.01/1.27 (declare-const tptp.if_Ref1369692790t_unit (-> Bool tptp.refine787176636t_unit tptp.refine787176636t_unit tptp.refine787176636t_unit)) % 1.01/1.27 (declare-const tptp.refine119808503unit_a (-> tptp.refine787176636t_unit (-> tptp.product_unit tptp.refine424419629nres_a) tptp.refine424419629nres_a)) % 1.01/1.27 (declare-const tptp.refine1208325748t_unit (-> tptp.refine787176636t_unit tptp.set_Product_unit)) % 1.01/1.27 (declare-const tptp.refine23983189ASSUME (-> Bool tptp.refine787176636t_unit)) % 1.01/1.27 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 1.01/1.27 (declare-const tptp.collect_Product_unit (-> (-> tptp.product_unit Bool) tptp.set_Product_unit)) % 1.01/1.27 (declare-const tptp.order_Greatest_set_a (-> (-> tptp.set_a Bool) tptp.set_a)) % 1.01/1.27 (declare-const tptp.is_singleton_a (-> tptp.set_a Bool)) % 1.01/1.27 (declare-const tptp.order_245837199nres_a (-> (-> (-> Bool tptp.refine424419629nres_a) Bool) Bool tptp.refine424419629nres_a)) % 1.01/1.27 (declare-const tptp.if_Ref1724547303nres_a (-> Bool tptp.refine424419629nres_a tptp.refine424419629nres_a tptp.refine424419629nres_a)) % 1.01/1.27 (declare-const tptp.refine96995669t_unit (-> tptp.refine424419629nres_a (-> tptp.a tptp.refine787176636t_unit) tptp.refine787176636t_unit)) % 1.01/1.27 (declare-const tptp.order_453013155t_unit (-> (-> tptp.refine787176636t_unit Bool) tptp.refine787176636t_unit)) % 1.01/1.27 (declare-const tptp.s2 tptp.refine424419629nres_a) % 1.01/1.27 (declare-const tptp.order_1714329108nres_a (-> (-> tptp.refine424419629nres_a Bool) tptp.refine424419629nres_a)) % 1.01/1.27 (declare-const tptp.bot_bo1087887705t_unit tptp.set_Product_unit) % 1.01/1.27 (declare-const tptp.if_set_a (-> Bool tptp.set_a tptp.set_a tptp.set_a)) % 1.01/1.27 (declare-const tptp.refine436832838nd_a_a (-> tptp.refine424419629nres_a (-> tptp.a tptp.refine424419629nres_a) tptp.refine424419629nres_a)) % 1.01/1.27 (declare-const tptp.refine681446406t_unit (-> tptp.refine787176636t_unit (-> tptp.product_unit tptp.refine787176636t_unit) tptp.refine787176636t_unit)) % 1.01/1.27 (declare-const tptp.refine464223677AILi_a tptp.refine424419629nres_a) % 1.01/1.27 (declare-const tptp.bot_bo529555393nres_a tptp.refine424419629nres_a) % 1.01/1.27 (define tptp.refine412683989fail_a () (let ((_let_1 (@var "M7" tptp.set_a))) (let ((_let_2 (@var "M6" tptp.refine424419629nres_a))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ tptp.refine1198353288_RES_a _let_1))))))) % 1.01/1.27 (define tptp.ord_le519537037nres_a () (let ((_let_1 (@var "X5" tptp.a))) (let ((_let_2 (@var "S4" tptp.refine424419629nres_a))) (let ((_let_3 (@var "S3" tptp.refine424419629nres_a))) (lambda (@list _let_3 _let_2) (=> (_ tptp.refine412683989fail_a _let_2) (and (_ tptp.refine412683989fail_a _let_3) (forall (@list _let_1) (=> (_ (_ tptp.refine1001002027nres_a _let_3) _let_1) (_ (_ tptp.refine1001002027nres_a _let_2) _let_1)))))))))) % 1.01/1.27 (define tptp.ord_le516598614nres_a () (let ((_let_1 (@var "X5" Bool))) (let ((_let_2 (@var "G2" (-> Bool tptp.refine424419629nres_a)))) (let ((_let_3 (@var "F2" (-> Bool tptp.refine424419629nres_a)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (_ (_ tptp.ord_le519537037nres_a (_ _let_3 _let_1)) (_ _let_2 _let_1)))))))) % 1.01/1.27 (define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B4" tptp.set_a))) (let ((_let_2 (@var "T3" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A4" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 1.01/1.27 (define tptp.ord_less_eq_o_set_a () (let ((_let_1 (@var "Y8" (-> Bool tptp.set_a)))) (let ((_let_2 (@var "X6" (-> Bool tptp.set_a)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_less_eq_set_a (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_less_eq_set_a (_ _let_2 true)) (_ _let_1 true))))))) % 1.01/1.27 (define tptp.ord_le1960259811nres_a () (let ((_let_1 (@var "Y8" (-> Bool Bool tptp.refine424419629nres_a)))) (let ((_let_2 (@var "X6" (-> Bool Bool tptp.refine424419629nres_a)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_le516598614nres_a (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_le516598614nres_a (_ _let_2 true)) (_ _let_1 true))))))) % 1.01/1.27 (define tptp.refine579265252t_unit () (let ((_let_1 (@var "M7" tptp.set_Product_unit))) (let ((_let_2 (@var "M6" tptp.refine787176636t_unit))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ tptp.refine1777164439t_unit _let_1))))))) % 1.01/1.27 (define tptp.ord_le1051254044t_unit () (let ((_let_1 (@var "X5" tptp.product_unit))) (let ((_let_2 (@var "S4" tptp.refine787176636t_unit))) (let ((_let_3 (@var "S3" tptp.refine787176636t_unit))) (lambda (@list _let_3 _let_2) (=> (_ tptp.refine579265252t_unit _let_2) (and (_ tptp.refine579265252t_unit _let_3) (forall (@list _let_1) (=> (_ (_ tptp.refine558004794t_unit _let_3) _let_1) (_ (_ tptp.refine558004794t_unit _let_2) _let_1)))))))))) % 1.01/1.27 (define tptp.ord_le1633311077t_unit () (let ((_let_1 (@var "Y8" (-> Bool tptp.refine787176636t_unit)))) (let ((_let_2 (@var "X6" (-> Bool tptp.refine787176636t_unit)))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.ord_le1051254044t_unit (_ _let_2 false)) (_ _let_1 false)) (_ (_ tptp.ord_le1051254044t_unit (_ _let_2 true)) (_ _let_1 true))))))) % 1.01/1.27 (define tptp.refine983493746t_unit () (let ((_let_1 (@var "X5" tptp.product_unit))) (let ((_let_2 (@var "M6" tptp.refine787176636t_unit))) (lambda (@list _let_2 _let_1) (and (_ tptp.refine579265252t_unit _let_2) (_ (_ tptp.refine558004794t_unit _let_2) _let_1)))))) % 1.01/1.27 (define tptp.refine1312857699nres_a () (let ((_let_1 (@var "X5" tptp.a))) (let ((_let_2 (@var "M6" tptp.refine424419629nres_a))) (lambda (@list _let_2 _let_1) (and (_ tptp.refine412683989fail_a _let_2) (_ (_ tptp.refine1001002027nres_a _let_2) _let_1)))))) % 1.01/1.27 (define tptp.ord_le1023748749t_unit () (let ((_let_1 (@var "B4" tptp.set_Product_unit))) (let ((_let_2 (@var "T3" tptp.product_unit))) (let ((_let_3 (_ tptp.member_Product_unit _let_2))) (let ((_let_4 (@var "A4" tptp.set_Product_unit))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 1.01/1.27 (define tptp.refine2063221604TURN_a () (let ((_let_1 (@var "X5" tptp.a))) (lambda (@list _let_1) (_ tptp.refine1198353288_RES_a (_ (_ tptp.insert_a _let_1) tptp.bot_bot_set_a))))) % 1.01/1.27 (define tptp.refine459374679t_unit () (let ((_let_1 (@var "F2" (-> tptp.refine787176636t_unit tptp.refine787176636t_unit)))) (lambda (@list _let_1) (= (_ _let_1 tptp.bot_bo658782032t_unit) tptp.bot_bo658782032t_unit)))) % 1.01/1.27 (define tptp.bot_bot_a_o () (let ((_let_1 (@var "X5" tptp.a))) (lambda (@list _let_1) (_ (_ tptp.member_a _let_1) tptp.bot_bot_set_a)))) % 1.01/1.27 (define @t1 () (@var "Y" tptp.set_Product_unit)) % 1.01/1.27 (define @t2 () (@var "X" tptp.set_Product_unit)) % 1.01/1.27 (define @t3 () (_ tptp.refine1777164439t_unit @t1)) % 1.01/1.27 (define @t4 () (_ tptp.refine1777164439t_unit @t2)) % 1.01/1.27 (define @t5 () (@list @t2 @t1)) % 1.01/1.27 (define @t6 () (@var "Y" tptp.set_a)) % 1.01/1.27 (define @t7 () (@var "X" tptp.set_a)) % 1.01/1.27 (define @t8 () (_ tptp.refine1198353288_RES_a @t6)) % 1.01/1.27 (define @t9 () (_ tptp.refine1198353288_RES_a @t7)) % 1.01/1.27 (define @t10 () (@list @t7 @t6)) % 1.01/1.27 (define @t11 () (@var "Y2" tptp.set_Product_unit)) % 1.01/1.27 (define @t12 () (@var "X2" tptp.set_Product_unit)) % 1.01/1.27 (define @t13 () (@var "Y2" tptp.set_a)) % 1.01/1.27 (define @t14 () (@var "X2" tptp.set_a)) % 1.01/1.27 (define @t15 () (_ tptp.refine1198353288_RES_a @t14)) % 1.01/1.27 (define @t16 () (@var "Phi" (-> tptp.product_unit Bool))) % 1.01/1.27 (define @t17 () (_ tptp.refine1777164439t_unit (_ tptp.collect_Product_unit @t16))) % 1.01/1.27 (define @t18 () (@var "S" tptp.set_Product_unit)) % 1.01/1.27 (define @t19 () (@var "X3" tptp.product_unit)) % 1.01/1.27 (define @t20 () (_ @t16 @t19)) % 1.01/1.27 (define @t21 () (_ tptp.member_Product_unit @t19)) % 1.01/1.27 (define @t22 () (@list @t19)) % 1.01/1.27 (define @t23 () (@var "Phi" (-> tptp.a Bool))) % 1.01/1.27 (define @t24 () (_ tptp.refine1198353288_RES_a (_ tptp.collect_a @t23))) % 1.01/1.27 (define @t25 () (@var "S" tptp.set_a)) % 1.01/1.27 (define @t26 () (@var "X3" tptp.a)) % 1.01/1.27 (define @t27 () (_ @t23 @t26)) % 1.01/1.27 (define @t28 () (_ tptp.member_a @t26)) % 1.01/1.27 (define @t29 () (_ @t28 @t25)) % 1.01/1.27 (define @t30 () (@list @t26)) % 1.01/1.27 (define @t31 () (@var "Phi2" (-> tptp.product_unit Bool))) % 1.01/1.27 (define @t32 () (@var "Phi2" (-> tptp.a Bool))) % 1.01/1.27 (define @t33 () (@var "Postcond" (-> tptp.product_unit Bool))) % 1.01/1.27 (define @t34 () (_ tptp.refine1777164439t_unit (_ tptp.collect_Product_unit @t33))) % 1.01/1.27 (define @t35 () (@var "X4" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t36 () (_ tptp.ord_le1051254044t_unit @t35)) % 1.01/1.27 (define @t37 () (@var "Y3" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t38 () (_ tptp.ord_le1051254044t_unit @t37)) % 1.01/1.27 (define @t39 () (_ @t36 @t37)) % 1.01/1.27 (define @t40 () (@var "Postcond" (-> tptp.a Bool))) % 1.01/1.27 (define @t41 () (_ tptp.refine1198353288_RES_a (_ tptp.collect_a @t40))) % 1.01/1.27 (define @t42 () (@var "X4" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t43 () (_ tptp.ord_le519537037nres_a @t42)) % 1.01/1.27 (define @t44 () (@var "Y3" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t45 () (_ tptp.ord_le519537037nres_a @t44)) % 1.01/1.27 (define @t46 () (_ @t43 @t44)) % 1.01/1.27 (define @t47 () (@var "Psi" (-> tptp.product_unit Bool))) % 1.01/1.27 (define @t48 () (@var "M" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t49 () (_ tptp.ord_le1051254044t_unit @t48)) % 1.01/1.27 (define @t50 () (@var "Psi" (-> tptp.a Bool))) % 1.01/1.27 (define @t51 () (@var "M" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t52 () (_ tptp.ord_le519537037nres_a @t51)) % 1.01/1.27 (define @t53 () (@var "X4" tptp.product_unit)) % 1.01/1.27 (define @t54 () (_ tptp.member_Product_unit @t53)) % 1.01/1.27 (define @t55 () (@var "X4" tptp.a)) % 1.01/1.27 (define @t56 () (_ tptp.member_a @t55)) % 1.01/1.27 (define @t57 () (@list @t7 @t55)) % 1.01/1.27 (define @t58 () (_ @t16 @t53)) % 1.01/1.27 (define @t59 () (@list @t16 @t53)) % 1.01/1.27 (define @t60 () (_ @t23 @t55)) % 1.01/1.27 (define @t61 () (@list @t23 @t55)) % 1.01/1.27 (define @t62 () (@var "X4" tptp.set_a)) % 1.01/1.27 (define @t63 () (_ tptp.ord_less_eq_set_a @t62)) % 1.01/1.27 (define @t64 () (@var "X4" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t65 () (_ tptp.ord_le516598614nres_a @t64)) % 1.01/1.27 (define @t66 () (@list @t2)) % 1.01/1.27 (define @t67 () (@list @t7)) % 1.01/1.27 (define @t68 () (_ tptp.refine1420258419t_unit @t53)) % 1.01/1.27 (define @t69 () (_ tptp.ord_le1051254044t_unit @t68)) % 1.01/1.27 (define @t70 () (_ tptp.refine2063221604TURN_a @t55)) % 1.01/1.27 (define @t71 () (_ tptp.ord_le519537037nres_a @t70)) % 1.01/1.27 (define @t72 () (@var "X4" Bool)) % 1.01/1.27 (define @t73 () (@var "G" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t74 () (_ @t73 @t72)) % 1.01/1.27 (define @t75 () (@var "F" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t76 () (_ @t75 @t72)) % 1.01/1.27 (define @t77 () (_ (_ tptp.ord_le516598614nres_a @t75) @t73)) % 1.01/1.27 (define @t78 () (@list @t75 @t73 @t72)) % 1.01/1.27 (define @t79 () (@var "X3" Bool)) % 1.01/1.27 (define @t80 () (@var "M22" tptp.set_a)) % 1.01/1.27 (define @t81 () (@var "M12" tptp.set_a)) % 1.01/1.27 (define @t82 () (@var "B" Bool)) % 1.01/1.27 (define @t83 () (_ tptp.if_set_a @t82)) % 1.01/1.27 (define @t84 () (@var "M2" tptp.set_a)) % 1.01/1.27 (define @t85 () (@var "M1" tptp.set_a)) % 1.01/1.27 (define @t86 () (not @t82)) % 1.01/1.27 (define @t87 () (@var "M22" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t88 () (@var "M12" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t89 () (_ tptp.if_o_R1705037948nres_a @t82)) % 1.01/1.27 (define @t90 () (@var "M2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t91 () (@var "M1" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t92 () (@var "M22" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t93 () (@var "M12" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t94 () (_ tptp.if_Ref1369692790t_unit @t82)) % 1.01/1.27 (define @t95 () (@var "M2" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t96 () (@var "M1" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t97 () (@var "M22" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t98 () (@var "M12" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t99 () (_ tptp.if_Ref1724547303nres_a @t82)) % 1.01/1.27 (define @t100 () (@var "M2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t101 () (@var "M1" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t102 () (@var "Y3" tptp.a)) % 1.01/1.27 (define @t103 () (= @t55 @t102)) % 1.01/1.27 (define @t104 () (_ tptp.refine2063221604TURN_a @t102)) % 1.01/1.27 (define @t105 () (@list @t55 @t102)) % 1.01/1.27 (define @t106 () (@var "Y3" tptp.product_unit)) % 1.01/1.27 (define @t107 () (= @t53 @t106)) % 1.01/1.27 (define @t108 () (_ tptp.refine1420258419t_unit @t106)) % 1.01/1.27 (define @t109 () (@list @t53 @t106)) % 1.01/1.27 (define @t110 () (@var "B" tptp.set_Product_unit)) % 1.01/1.27 (define @t111 () (@var "A" tptp.set_Product_unit)) % 1.01/1.27 (define @t112 () (@var "B" tptp.set_a)) % 1.01/1.27 (define @t113 () (@var "A" tptp.set_a)) % 1.01/1.27 (define @t114 () (_ tptp.ord_less_eq_set_a @t113)) % 1.01/1.27 (define @t115 () (_ @t114 @t112)) % 1.01/1.27 (define @t116 () (@list @t113 @t112)) % 1.01/1.27 (define @t117 () (_ tptp.ord_less_eq_set_a @t7)) % 1.01/1.27 (define @t118 () (_ tptp.ord_le519537037nres_a @t9)) % 1.01/1.27 (define @t119 () (@var "V" tptp.product_unit)) % 1.01/1.27 (define @t120 () (@var "Z" tptp.product_unit)) % 1.01/1.27 (define @t121 () (@var "Y4" tptp.product_unit)) % 1.01/1.27 (define @t122 () (lambda (@list @t121 @t120) (= @t121 @t120))) % 1.01/1.27 (define @t123 () (@var "V" tptp.a)) % 1.01/1.27 (define @t124 () (@var "Z" tptp.a)) % 1.01/1.27 (define @t125 () (@var "Y4" tptp.a)) % 1.01/1.27 (define @t126 () (lambda (@list @t125 @t124) (= @t125 @t124))) % 1.01/1.27 (define @t127 () (@var "E2" tptp.set_a)) % 1.01/1.27 (define @t128 () (@var "T2" tptp.set_a)) % 1.01/1.27 (define @t129 () (@var "E" tptp.set_a)) % 1.01/1.27 (define @t130 () (@var "T" tptp.set_a)) % 1.01/1.27 (define @t131 () (@var "E2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t132 () (@var "T2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t133 () (@var "E" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t134 () (@var "T" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t135 () (@var "E2" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t136 () (@var "T2" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t137 () (@var "E" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t138 () (@var "T" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t139 () (@var "E2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t140 () (@var "T2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t141 () (@var "E" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t142 () (@var "T" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t143 () (= @t113 @t112)) % 1.01/1.27 (define @t144 () (_ tptp.ord_less_eq_set_a @t112)) % 1.01/1.27 (define @t145 () (_ @t144 @t113)) % 1.01/1.27 (define @t146 () (@var "B" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t147 () (@var "A" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t148 () (= @t147 @t146)) % 1.01/1.27 (define @t149 () (_ tptp.ord_le516598614nres_a @t147)) % 1.01/1.27 (define @t150 () (_ @t149 @t146)) % 1.01/1.27 (define @t151 () (_ tptp.ord_le516598614nres_a @t146)) % 1.01/1.27 (define @t152 () (_ @t151 @t147)) % 1.01/1.27 (define @t153 () (@var "B" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t154 () (@var "A" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t155 () (= @t154 @t153)) % 1.01/1.27 (define @t156 () (_ tptp.ord_le1051254044t_unit @t154)) % 1.01/1.27 (define @t157 () (_ @t156 @t153)) % 1.01/1.27 (define @t158 () (_ tptp.ord_le1051254044t_unit @t153)) % 1.01/1.27 (define @t159 () (_ @t158 @t154)) % 1.01/1.27 (define @t160 () (@var "B" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t161 () (@var "A" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t162 () (= @t161 @t160)) % 1.01/1.27 (define @t163 () (_ tptp.ord_le519537037nres_a @t161)) % 1.01/1.27 (define @t164 () (_ @t163 @t160)) % 1.01/1.27 (define @t165 () (_ tptp.ord_le519537037nres_a @t160)) % 1.01/1.27 (define @t166 () (_ @t165 @t161)) % 1.01/1.27 (define @t167 () (@var "B2" tptp.set_a)) % 1.01/1.27 (define @t168 () (@var "A2" tptp.set_a)) % 1.01/1.27 (define @t169 () (_ (_ tptp.ord_less_eq_set_a @t168) @t167)) % 1.01/1.27 (define @t170 () (_ (_ tptp.ord_less_eq_set_a @t167) @t168)) % 1.01/1.27 (define @t171 () (@list @t168 @t167)) % 1.01/1.27 (define @t172 () (@var "Z" tptp.set_a)) % 1.01/1.27 (define @t173 () (@var "Y4" tptp.set_a)) % 1.01/1.27 (define @t174 () (lambda (@list @t173 @t172) (= @t173 @t172))) % 1.01/1.27 (define @t175 () (@var "B2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t176 () (@var "A2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t177 () (_ (_ tptp.ord_le516598614nres_a @t176) @t175)) % 1.01/1.27 (define @t178 () (_ (_ tptp.ord_le516598614nres_a @t175) @t176)) % 1.01/1.27 (define @t179 () (@list @t176 @t175)) % 1.01/1.27 (define @t180 () (@var "Z" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t181 () (@var "Y4" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t182 () (lambda (@list @t181 @t180) (= @t181 @t180))) % 1.01/1.27 (define @t183 () (@var "B2" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t184 () (@var "A2" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t185 () (_ (_ tptp.ord_le1051254044t_unit @t184) @t183)) % 1.01/1.27 (define @t186 () (_ (_ tptp.ord_le1051254044t_unit @t183) @t184)) % 1.01/1.27 (define @t187 () (@list @t184 @t183)) % 1.01/1.27 (define @t188 () (@var "Z" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t189 () (@var "Y4" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t190 () (lambda (@list @t189 @t188) (= @t189 @t188))) % 1.01/1.27 (define @t191 () (@var "B2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t192 () (@var "A2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t193 () (_ (_ tptp.ord_le519537037nres_a @t192) @t191)) % 1.01/1.27 (define @t194 () (_ (_ tptp.ord_le519537037nres_a @t191) @t192)) % 1.01/1.27 (define @t195 () (@list @t192 @t191)) % 1.01/1.27 (define @t196 () (@var "Z" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t197 () (@var "Y4" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t198 () (lambda (@list @t197 @t196) (= @t197 @t196))) % 1.01/1.27 (define @t199 () (@var "C" tptp.set_a)) % 1.01/1.27 (define @t200 () (_ tptp.ord_less_eq_set_a @t199)) % 1.01/1.27 (define @t201 () (@var "C" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t202 () (_ tptp.ord_le516598614nres_a @t201)) % 1.01/1.27 (define @t203 () (@var "C" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t204 () (_ tptp.ord_le1051254044t_unit @t203)) % 1.01/1.27 (define @t205 () (@var "C" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t206 () (_ tptp.ord_le519537037nres_a @t205)) % 1.01/1.27 (define @t207 () (@list @t154)) % 1.01/1.27 (define @t208 () (@list @t161)) % 1.01/1.27 (define @t209 () (@var "Z2" tptp.set_a)) % 1.01/1.27 (define @t210 () (@var "Y3" tptp.set_a)) % 1.01/1.27 (define @t211 () (_ tptp.ord_less_eq_set_a @t210)) % 1.01/1.27 (define @t212 () (_ @t63 @t210)) % 1.01/1.27 (define @t213 () (@var "Z2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t214 () (@var "Y3" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t215 () (_ tptp.ord_le516598614nres_a @t214)) % 1.01/1.27 (define @t216 () (_ @t65 @t214)) % 1.01/1.27 (define @t217 () (@var "Z2" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t218 () (@var "Z2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t219 () (_ @t114 @t199)) % 1.01/1.27 (define @t220 () (@list @t113 @t112 @t199)) % 1.01/1.27 (define @t221 () (_ @t149 @t201)) % 1.01/1.27 (define @t222 () (@list @t147 @t146 @t201)) % 1.01/1.27 (define @t223 () (_ @t156 @t203)) % 1.01/1.27 (define @t224 () (@list @t154 @t153 @t203)) % 1.01/1.27 (define @t225 () (_ @t163 @t205)) % 1.01/1.27 (define @t226 () (@list @t161 @t160 @t205)) % 1.01/1.27 (define @t227 () (_ @t144 @t199)) % 1.01/1.27 (define @t228 () (=> @t227 @t219)) % 1.01/1.27 (define @t229 () (_ @t151 @t201)) % 1.01/1.27 (define @t230 () (=> @t229 @t221)) % 1.01/1.27 (define @t231 () (_ @t158 @t203)) % 1.01/1.27 (define @t232 () (=> @t231 @t223)) % 1.01/1.27 (define @t233 () (_ @t165 @t205)) % 1.01/1.27 (define @t234 () (=> @t233 @t225)) % 1.01/1.27 (define @t235 () (= @t62 @t210)) % 1.01/1.27 (define @t236 () (_ @t211 @t62)) % 1.01/1.27 (define @t237 () (= @t64 @t214)) % 1.01/1.27 (define @t238 () (_ @t215 @t64)) % 1.01/1.27 (define @t239 () (= @t35 @t37)) % 1.01/1.27 (define @t240 () (_ @t38 @t35)) % 1.01/1.27 (define @t241 () (= @t42 @t44)) % 1.01/1.27 (define @t242 () (_ @t45 @t42)) % 1.01/1.27 (define @t243 () (@list @t62 @t210)) % 1.01/1.27 (define @t244 () (@list @t64 @t214)) % 1.01/1.27 (define @t245 () (@list @t35 @t37)) % 1.01/1.27 (define @t246 () (@list @t42 @t44)) % 1.01/1.27 (define @t247 () (@var "X5" tptp.set_a)) % 1.01/1.27 (define @t248 () (@var "Y5" tptp.set_a)) % 1.01/1.27 (define @t249 () (@var "X5" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t250 () (@var "Y5" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t251 () (@var "X5" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t252 () (@var "Y5" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t253 () (@var "X5" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t254 () (@var "Y5" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t255 () (@var "F" (-> tptp.refine424419629nres_a tptp.refine424419629nres_a))) % 1.01/1.27 (define @t256 () (@var "Y6" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t257 () (@var "X3" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t258 () (_ (_ tptp.ord_le519537037nres_a @t257) @t256)) % 1.01/1.27 (define @t259 () (@list @t257 @t256)) % 1.01/1.27 (define @t260 () (forall @t259 (=> @t258 (_ (_ tptp.ord_le519537037nres_a (_ @t255 @t257)) (_ @t255 @t256))))) % 1.01/1.27 (define @t261 () (=> @t260 (_ (_ tptp.ord_le519537037nres_a (_ @t255 @t161)) @t205))) % 1.01/1.27 (define @t262 () (_ @t255 @t160)) % 1.01/1.27 (define @t263 () (@list @t161 @t160 @t255 @t205)) % 1.01/1.27 (define @t264 () (@var "F" (-> tptp.refine424419629nres_a tptp.set_a))) % 1.01/1.27 (define @t265 () (forall @t259 (=> @t258 (_ (_ tptp.ord_less_eq_set_a (_ @t264 @t257)) (_ @t264 @t256))))) % 1.01/1.27 (define @t266 () (=> @t265 (_ (_ tptp.ord_less_eq_set_a (_ @t264 @t161)) @t199))) % 1.01/1.27 (define @t267 () (_ @t264 @t160)) % 1.01/1.27 (define @t268 () (@list @t161 @t160 @t264 @t199)) % 1.01/1.27 (define @t269 () (@var "F" (-> tptp.refine424419629nres_a tptp.refine787176636t_unit))) % 1.01/1.27 (define @t270 () (forall @t259 (=> @t258 (_ (_ tptp.ord_le1051254044t_unit (_ @t269 @t257)) (_ @t269 @t256))))) % 1.01/1.27 (define @t271 () (=> @t270 (_ (_ tptp.ord_le1051254044t_unit (_ @t269 @t161)) @t203))) % 1.01/1.27 (define @t272 () (_ @t269 @t160)) % 1.01/1.27 (define @t273 () (@list @t161 @t160 @t269 @t203)) % 1.01/1.27 (define @t274 () (@var "F" (-> tptp.set_a tptp.refine424419629nres_a))) % 1.01/1.27 (define @t275 () (@var "Y6" tptp.set_a)) % 1.01/1.27 (define @t276 () (@var "X3" tptp.set_a)) % 1.01/1.27 (define @t277 () (_ (_ tptp.ord_less_eq_set_a @t276) @t275)) % 1.01/1.27 (define @t278 () (@list @t276 @t275)) % 1.01/1.27 (define @t279 () (forall @t278 (=> @t277 (_ (_ tptp.ord_le519537037nres_a (_ @t274 @t276)) (_ @t274 @t275))))) % 1.01/1.27 (define @t280 () (=> @t279 (_ (_ tptp.ord_le519537037nres_a (_ @t274 @t113)) @t205))) % 1.01/1.27 (define @t281 () (_ @t274 @t112)) % 1.01/1.27 (define @t282 () (@list @t113 @t112 @t274 @t205)) % 1.01/1.27 (define @t283 () (@var "F" (-> tptp.set_a tptp.set_a))) % 1.01/1.27 (define @t284 () (forall @t278 (=> @t277 (_ (_ tptp.ord_less_eq_set_a (_ @t283 @t276)) (_ @t283 @t275))))) % 1.01/1.27 (define @t285 () (=> @t284 (_ (_ tptp.ord_less_eq_set_a (_ @t283 @t113)) @t199))) % 1.01/1.27 (define @t286 () (_ @t283 @t112)) % 1.01/1.27 (define @t287 () (@list @t113 @t112 @t283 @t199)) % 1.01/1.27 (define @t288 () (@var "F" (-> tptp.set_a tptp.refine787176636t_unit))) % 1.01/1.27 (define @t289 () (forall @t278 (=> @t277 (_ (_ tptp.ord_le1051254044t_unit (_ @t288 @t276)) (_ @t288 @t275))))) % 1.01/1.27 (define @t290 () (=> @t289 (_ (_ tptp.ord_le1051254044t_unit (_ @t288 @t113)) @t203))) % 1.01/1.27 (define @t291 () (_ @t288 @t112)) % 1.01/1.27 (define @t292 () (@list @t113 @t112 @t288 @t203)) % 1.01/1.27 (define @t293 () (@var "F" (-> tptp.refine787176636t_unit tptp.refine424419629nres_a))) % 1.01/1.27 (define @t294 () (@var "Y6" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t295 () (@var "X3" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t296 () (_ (_ tptp.ord_le1051254044t_unit @t295) @t294)) % 1.01/1.27 (define @t297 () (@list @t295 @t294)) % 1.01/1.27 (define @t298 () (forall @t297 (=> @t296 (_ (_ tptp.ord_le519537037nres_a (_ @t293 @t295)) (_ @t293 @t294))))) % 1.01/1.27 (define @t299 () (=> @t298 (_ (_ tptp.ord_le519537037nres_a (_ @t293 @t154)) @t205))) % 1.01/1.27 (define @t300 () (_ @t293 @t153)) % 1.01/1.27 (define @t301 () (@list @t154 @t153 @t293 @t205)) % 1.01/1.27 (define @t302 () (@var "F" (-> tptp.refine787176636t_unit tptp.set_a))) % 1.01/1.27 (define @t303 () (forall @t297 (=> @t296 (_ (_ tptp.ord_less_eq_set_a (_ @t302 @t295)) (_ @t302 @t294))))) % 1.01/1.27 (define @t304 () (=> @t303 (_ (_ tptp.ord_less_eq_set_a (_ @t302 @t154)) @t199))) % 1.01/1.27 (define @t305 () (_ @t302 @t153)) % 1.01/1.27 (define @t306 () (@list @t154 @t153 @t302 @t199)) % 1.01/1.27 (define @t307 () (@var "F" (-> tptp.refine787176636t_unit tptp.refine787176636t_unit))) % 1.01/1.27 (define @t308 () (forall @t297 (=> @t296 (_ (_ tptp.ord_le1051254044t_unit (_ @t307 @t295)) (_ @t307 @t294))))) % 1.01/1.27 (define @t309 () (=> @t308 (_ (_ tptp.ord_le1051254044t_unit (_ @t307 @t154)) @t203))) % 1.01/1.27 (define @t310 () (_ @t307 @t153)) % 1.01/1.27 (define @t311 () (@list @t154 @t153 @t307 @t203)) % 1.01/1.27 (define @t312 () (@var "F" (-> tptp.refine424419629nres_a Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t313 () (forall @t259 (=> @t258 (_ (_ tptp.ord_le516598614nres_a (_ @t312 @t257)) (_ @t312 @t256))))) % 1.01/1.27 (define @t314 () (=> @t313 (_ (_ tptp.ord_le516598614nres_a (_ @t312 @t161)) @t201))) % 1.01/1.27 (define @t315 () (_ @t312 @t160)) % 1.01/1.27 (define @t316 () (@list @t161 @t160 @t312 @t201)) % 1.01/1.27 (define @t317 () (@var "A" tptp.product_unit)) % 1.01/1.27 (define @t318 () (@var "P" (-> tptp.product_unit Bool))) % 1.01/1.27 (define @t319 () (_ tptp.collect_Product_unit @t318)) % 1.01/1.27 (define @t320 () (@var "A" tptp.a)) % 1.01/1.27 (define @t321 () (@var "P" (-> tptp.a Bool))) % 1.01/1.27 (define @t322 () (_ tptp.collect_a @t321)) % 1.01/1.27 (define @t323 () (_ tptp.member_a @t320)) % 1.01/1.27 (define @t324 () (@var "A3" tptp.set_Product_unit)) % 1.01/1.27 (define @t325 () (@var "X5" tptp.product_unit)) % 1.01/1.27 (define @t326 () (_ tptp.member_Product_unit @t325)) % 1.01/1.27 (define @t327 () (@list @t325)) % 1.01/1.27 (define @t328 () (@var "A3" tptp.set_a)) % 1.01/1.27 (define @t329 () (@var "X5" tptp.a)) % 1.01/1.27 (define @t330 () (_ tptp.member_a @t329)) % 1.01/1.27 (define @t331 () (_ @t330 @t328)) % 1.01/1.27 (define @t332 () (@list @t329)) % 1.01/1.27 (define @t333 () (@list @t328)) % 1.01/1.27 (define @t334 () (@var "Q" (-> tptp.product_unit Bool))) % 1.01/1.27 (define @t335 () (_ tptp.collect_Product_unit @t334)) % 1.01/1.27 (define @t336 () (_ @t334 @t19)) % 1.01/1.27 (define @t337 () (_ @t318 @t19)) % 1.01/1.27 (define @t338 () (@list @t318 @t334)) % 1.01/1.27 (define @t339 () (@var "Q" (-> tptp.a Bool))) % 1.01/1.27 (define @t340 () (_ tptp.collect_a @t339)) % 1.01/1.27 (define @t341 () (_ @t339 @t26)) % 1.01/1.27 (define @t342 () (_ @t321 @t26)) % 1.01/1.27 (define @t343 () (@list @t321 @t339)) % 1.01/1.27 (define @t344 () (=> @t233 (=> @t260 (_ @t163 (_ @t255 @t205))))) % 1.01/1.27 (define @t345 () (@list @t161 @t255 @t160 @t205)) % 1.01/1.27 (define @t346 () (=> @t233 (=> @t265 (_ @t114 (_ @t264 @t205))))) % 1.01/1.27 (define @t347 () (@list @t113 @t264 @t160 @t205)) % 1.01/1.27 (define @t348 () (=> @t233 (=> @t270 (_ @t156 (_ @t269 @t205))))) % 1.01/1.27 (define @t349 () (@list @t154 @t269 @t160 @t205)) % 1.01/1.27 (define @t350 () (=> @t227 (=> @t279 (_ @t163 (_ @t274 @t199))))) % 1.01/1.27 (define @t351 () (@list @t161 @t274 @t112 @t199)) % 1.01/1.27 (define @t352 () (=> @t227 (=> @t284 (_ @t114 (_ @t283 @t199))))) % 1.01/1.27 (define @t353 () (@list @t113 @t283 @t112 @t199)) % 1.01/1.27 (define @t354 () (=> @t227 (=> @t289 (_ @t156 (_ @t288 @t199))))) % 1.01/1.27 (define @t355 () (@list @t154 @t288 @t112 @t199)) % 1.01/1.27 (define @t356 () (=> @t231 (=> @t298 (_ @t163 (_ @t293 @t203))))) % 1.01/1.27 (define @t357 () (@list @t161 @t293 @t153 @t203)) % 1.01/1.27 (define @t358 () (=> @t231 (=> @t303 (_ @t114 (_ @t302 @t203))))) % 1.01/1.27 (define @t359 () (@list @t113 @t302 @t153 @t203)) % 1.01/1.27 (define @t360 () (=> @t231 (=> @t308 (_ @t156 (_ @t307 @t203))))) % 1.01/1.27 (define @t361 () (@list @t154 @t307 @t153 @t203)) % 1.01/1.27 (define @t362 () (@var "F" (-> (-> Bool tptp.refine424419629nres_a) tptp.refine424419629nres_a))) % 1.01/1.27 (define @t363 () (@var "Y6" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t364 () (@var "X3" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t365 () (@var "P" (-> tptp.set_a Bool))) % 1.01/1.27 (define @t366 () (_ tptp.order_Greatest_set_a @t365)) % 1.01/1.27 (define @t367 () (forall (@list @t275) (=> (_ @t365 @t275) (_ (_ tptp.ord_less_eq_set_a @t275) @t62)))) % 1.01/1.27 (define @t368 () (_ @t365 @t62)) % 1.01/1.27 (define @t369 () (@var "P" (-> (-> Bool tptp.refine424419629nres_a) Bool))) % 1.01/1.27 (define @t370 () (_ tptp.order_245837199nres_a @t369)) % 1.01/1.27 (define @t371 () (forall (@list @t363) (=> (_ @t369 @t363) (_ (_ tptp.ord_le516598614nres_a @t363) @t64)))) % 1.01/1.27 (define @t372 () (_ @t369 @t64)) % 1.01/1.27 (define @t373 () (@var "P" (-> tptp.refine787176636t_unit Bool))) % 1.01/1.27 (define @t374 () (_ tptp.order_453013155t_unit @t373)) % 1.01/1.27 (define @t375 () (forall (@list @t294) (=> (_ @t373 @t294) (_ (_ tptp.ord_le1051254044t_unit @t294) @t35)))) % 1.01/1.27 (define @t376 () (_ @t373 @t35)) % 1.01/1.27 (define @t377 () (@var "P" (-> tptp.refine424419629nres_a Bool))) % 1.01/1.27 (define @t378 () (_ tptp.order_1714329108nres_a @t377)) % 1.01/1.27 (define @t379 () (forall (@list @t256) (=> (_ @t377 @t256) (_ (_ tptp.ord_le519537037nres_a @t256) @t42)))) % 1.01/1.27 (define @t380 () (_ @t377 @t42)) % 1.01/1.27 (define @t381 () (@var "Q" (-> tptp.set_a Bool))) % 1.01/1.27 (define @t382 () (@var "Y7" tptp.set_a)) % 1.01/1.27 (define @t383 () (@list @t276)) % 1.01/1.27 (define @t384 () (@var "Q" (-> (-> Bool tptp.refine424419629nres_a) Bool))) % 1.01/1.27 (define @t385 () (@var "Y7" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t386 () (@var "Q" (-> tptp.refine787176636t_unit Bool))) % 1.01/1.27 (define @t387 () (@var "Y7" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t388 () (@var "Q" (-> tptp.refine424419629nres_a Bool))) % 1.01/1.27 (define @t389 () (@var "Y7" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t390 () (@var "Y8" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t391 () (@var "X6" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t392 () (@var "D" tptp.set_a)) % 1.01/1.27 (define @t393 () (@var "D" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t394 () (@var "D" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t395 () (@var "D" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t396 () (@var "F3" (-> tptp.a tptp.refine424419629nres_a))) % 1.01/1.27 (define @t397 () (@var "M3" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t398 () (@var "F" (-> tptp.a tptp.refine424419629nres_a))) % 1.01/1.27 (define @t399 () (_ @t396 @t26)) % 1.01/1.27 (define @t400 () (_ @t398 @t26)) % 1.01/1.27 (define @t401 () (_ tptp.ord_le519537037nres_a (_ tptp.refine2063221604TURN_a @t26))) % 1.01/1.27 (define @t402 () (@var "F3" (-> tptp.product_unit tptp.refine787176636t_unit))) % 1.01/1.27 (define @t403 () (@var "M3" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t404 () (@var "F" (-> tptp.product_unit tptp.refine787176636t_unit))) % 1.01/1.27 (define @t405 () (_ @t402 @t19)) % 1.01/1.27 (define @t406 () (_ @t404 @t19)) % 1.01/1.27 (define @t407 () (_ tptp.ord_le1051254044t_unit (_ tptp.refine1420258419t_unit @t19))) % 1.01/1.27 (define @t408 () (_ @t407 @t403)) % 1.01/1.27 (define @t409 () (= @t48 @t403)) % 1.01/1.27 (define @t410 () (@var "F3" (-> tptp.product_unit tptp.refine424419629nres_a))) % 1.01/1.27 (define @t411 () (@var "F" (-> tptp.product_unit tptp.refine424419629nres_a))) % 1.01/1.27 (define @t412 () (_ @t410 @t19)) % 1.01/1.27 (define @t413 () (_ @t411 @t19)) % 1.01/1.27 (define @t414 () (@var "F3" (-> tptp.a tptp.refine787176636t_unit))) % 1.01/1.27 (define @t415 () (@var "M5" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t416 () (@var "F" (-> tptp.a tptp.refine787176636t_unit))) % 1.01/1.27 (define @t417 () (@var "M4" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t418 () (_ (_ tptp.refine96995669t_unit @t417) @t416)) % 1.01/1.27 (define @t419 () (_ tptp.ord_le1051254044t_unit @t418)) % 1.01/1.27 (define @t420 () (_ tptp.ord_le1051254044t_unit (_ @t416 @t26))) % 1.01/1.27 (define @t421 () (_ @t401 @t417)) % 1.01/1.27 (define @t422 () (_ tptp.ord_le519537037nres_a @t417)) % 1.01/1.27 (define @t423 () (_ @t422 @t415)) % 1.01/1.27 (define @t424 () (@var "M5" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t425 () (@var "M4" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t426 () (_ tptp.refine681446406t_unit @t425)) % 1.01/1.27 (define @t427 () (_ @t426 @t404)) % 1.01/1.27 (define @t428 () (_ tptp.ord_le1051254044t_unit @t427)) % 1.01/1.27 (define @t429 () (_ tptp.ord_le1051254044t_unit @t406)) % 1.01/1.27 (define @t430 () (_ @t407 @t425)) % 1.01/1.27 (define @t431 () (_ tptp.ord_le1051254044t_unit @t425)) % 1.01/1.27 (define @t432 () (_ @t431 @t424)) % 1.01/1.27 (define @t433 () (_ (_ tptp.refine119808503unit_a @t425) @t411)) % 1.01/1.27 (define @t434 () (_ tptp.ord_le519537037nres_a @t433)) % 1.01/1.27 (define @t435 () (_ tptp.ord_le519537037nres_a @t413)) % 1.01/1.27 (define @t436 () (_ tptp.refine436832838nd_a_a @t417)) % 1.01/1.27 (define @t437 () (_ @t436 @t398)) % 1.01/1.27 (define @t438 () (_ tptp.ord_le519537037nres_a @t437)) % 1.01/1.27 (define @t439 () (_ tptp.ord_le519537037nres_a @t400)) % 1.01/1.27 (define @t440 () (@list @t55)) % 1.01/1.27 (define @t441 () (@list @t53)) % 1.01/1.27 (define @t442 () (@list @t417)) % 1.01/1.27 (define @t443 () (@list @t425)) % 1.01/1.27 (define @t444 () (_ @t318 @t325)) % 1.01/1.27 (define @t445 () (_ @t321 @t329)) % 1.01/1.27 (define @t446 () (_ @t330 @t25)) % 1.01/1.27 (define @t447 () (@var "S" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t448 () (_ tptp.refine412683989fail_a @t447)) % 1.01/1.27 (define @t449 () (@var "S2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t450 () (_ tptp.refine412683989fail_a @t449)) % 1.01/1.27 (define @t451 () (=> @t450 @t448)) % 1.01/1.27 (define @t452 () (_ (_ tptp.ord_le519537037nres_a @t447) @t449)) % 1.01/1.27 (define @t453 () (@list @t447 @t449)) % 1.01/1.27 (define @t454 () (@var "S" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t455 () (_ tptp.refine579265252t_unit @t454)) % 1.01/1.27 (define @t456 () (@var "S2" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t457 () (_ tptp.refine579265252t_unit @t456)) % 1.01/1.27 (define @t458 () (=> @t457 @t455)) % 1.01/1.27 (define @t459 () (_ (_ tptp.ord_le1051254044t_unit @t454) @t456)) % 1.01/1.27 (define @t460 () (@list @t454 @t456)) % 1.01/1.27 (define @t461 () (@var "B3" tptp.set_Product_unit)) % 1.01/1.27 (define @t462 () (_ (_ tptp.ord_le1023748749t_unit @t324) @t461)) % 1.01/1.27 (define @t463 () (@var "B3" tptp.set_a)) % 1.01/1.27 (define @t464 () (_ tptp.ord_less_eq_set_a @t328)) % 1.01/1.27 (define @t465 () (_ @t464 @t463)) % 1.01/1.27 (define @t466 () (_ @t28 @t328)) % 1.01/1.27 (define @t467 () (@list @t328 @t463)) % 1.01/1.27 (define @t468 () (= @t328 @t463)) % 1.01/1.27 (define @t469 () (_ tptp.ord_less_eq_set_a @t463)) % 1.01/1.27 (define @t470 () (_ @t469 @t328)) % 1.01/1.27 (define @t471 () (_ @t419 @t454)) % 1.01/1.27 (define @t472 () (_ tptp.refine1001002027nres_a @t417)) % 1.01/1.27 (define @t473 () (_ @t472 @t26)) % 1.01/1.27 (define @t474 () (_ tptp.refine412683989fail_a @t417)) % 1.01/1.27 (define @t475 () (=> @t455 @t474)) % 1.01/1.27 (define @t476 () (_ @t438 @t447)) % 1.01/1.27 (define @t477 () (=> @t448 @t474)) % 1.01/1.27 (define @t478 () (_ @t434 @t447)) % 1.01/1.27 (define @t479 () (_ tptp.refine558004794t_unit @t425)) % 1.01/1.27 (define @t480 () (_ @t479 @t19)) % 1.01/1.27 (define @t481 () (_ tptp.refine579265252t_unit @t425)) % 1.01/1.27 (define @t482 () (=> @t448 @t481)) % 1.01/1.27 (define @t483 () (_ @t428 @t454)) % 1.01/1.27 (define @t484 () (=> @t455 @t481)) % 1.01/1.27 (define @t485 () (_ @t416 @t329)) % 1.01/1.27 (define @t486 () (_ @t472 @t329)) % 1.01/1.27 (define @t487 () (and @t474 @t486)) % 1.01/1.27 (define @t488 () (_ @t398 @t329)) % 1.01/1.27 (define @t489 () (_ @t411 @t325)) % 1.01/1.27 (define @t490 () (_ @t479 @t325)) % 1.01/1.27 (define @t491 () (and @t481 @t490)) % 1.01/1.27 (define @t492 () (_ @t404 @t325)) % 1.01/1.27 (define @t493 () (@var "R2" tptp.set_a)) % 1.01/1.27 (define @t494 () (@var "R" tptp.set_a)) % 1.01/1.27 (define @t495 () (_ (_ tptp.ord_less_eq_set_a @t494) @t493)) % 1.01/1.27 (define @t496 () (_ @t56 @t463)) % 1.01/1.27 (define @t497 () (_ @t56 @t328)) % 1.01/1.27 (define @t498 () (@var "C" tptp.product_unit)) % 1.01/1.27 (define @t499 () (_ tptp.member_Product_unit @t498)) % 1.01/1.27 (define @t500 () (@var "C" tptp.a)) % 1.01/1.27 (define @t501 () (_ tptp.member_a @t500)) % 1.01/1.27 (define @t502 () (_ @t501 @t328)) % 1.01/1.27 (define @t503 () (_ tptp.refine1001002027nres_a @t449)) % 1.01/1.27 (define @t504 () (_ tptp.refine1001002027nres_a @t447)) % 1.01/1.27 (define @t505 () (_ @t504 @t55)) % 1.01/1.27 (define @t506 () (_ tptp.refine558004794t_unit @t456)) % 1.01/1.27 (define @t507 () (_ tptp.refine558004794t_unit @t454)) % 1.01/1.27 (define @t508 () (_ @t507 @t53)) % 1.01/1.27 (define @t509 () (_ @t503 @t26)) % 1.01/1.27 (define @t510 () (_ @t504 @t26)) % 1.01/1.27 (define @t511 () (_ @t506 @t19)) % 1.01/1.27 (define @t512 () (_ @t507 @t19)) % 1.01/1.27 (define @t513 () (= @t455 @t457)) % 1.01/1.27 (define @t514 () (@var "S4" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t515 () (_ (_ tptp.refine1001002027nres_a @t514) @t329)) % 1.01/1.27 (define @t516 () (@var "S3" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t517 () (_ (_ tptp.refine1001002027nres_a @t516) @t329)) % 1.01/1.27 (define @t518 () (_ tptp.refine412683989fail_a @t514)) % 1.01/1.27 (define @t519 () (_ tptp.refine412683989fail_a @t516)) % 1.01/1.27 (define @t520 () (@list @t516 @t514)) % 1.01/1.27 (define @t521 () (@var "S4" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t522 () (_ (_ tptp.refine558004794t_unit @t521) @t325)) % 1.01/1.27 (define @t523 () (@var "S3" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t524 () (_ (_ tptp.refine558004794t_unit @t523) @t325)) % 1.01/1.27 (define @t525 () (_ tptp.refine579265252t_unit @t521)) % 1.01/1.27 (define @t526 () (_ tptp.refine579265252t_unit @t523)) % 1.01/1.27 (define @t527 () (@list @t523 @t521)) % 1.01/1.27 (define @t528 () (not @t455)) % 1.01/1.27 (define @t529 () (=> @t510 @t509)) % 1.01/1.27 (define @t530 () (@list @t449 @t447)) % 1.01/1.27 (define @t531 () (=> @t512 @t511)) % 1.01/1.27 (define @t532 () (@list @t456 @t454)) % 1.01/1.27 (define @t533 () (_ (_ tptp.ord_le1023748749t_unit @t319) @t335)) % 1.01/1.27 (define @t534 () (_ (_ tptp.ord_less_eq_set_a @t322) @t340)) % 1.01/1.27 (define @t535 () (@var "A4" tptp.set_a)) % 1.01/1.27 (define @t536 () (@var "B4" tptp.set_a)) % 1.01/1.27 (define @t537 () (@list @t535 @t536)) % 1.01/1.27 (define @t538 () (@var "C2" tptp.set_a)) % 1.01/1.27 (define @t539 () (@var "B4" tptp.set_Product_unit)) % 1.01/1.27 (define @t540 () (@var "A4" tptp.set_Product_unit)) % 1.01/1.27 (define @t541 () (@list @t540 @t539)) % 1.01/1.27 (define @t542 () (@var "Y3" Bool)) % 1.01/1.27 (define @t543 () (@var "Uv" tptp.set_a)) % 1.01/1.27 (define @t544 () (_ tptp.refine1198353288_RES_a @t543)) % 1.01/1.27 (define @t545 () (@var "Xa" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t546 () (= @t545 @t544)) % 1.01/1.27 (define @t547 () (@list @t543)) % 1.01/1.27 (define @t548 () (= @t42 tptp.refine464223677AILi_a)) % 1.01/1.27 (define @t549 () (@var "B5" tptp.set_a)) % 1.01/1.27 (define @t550 () (@var "A5" tptp.set_a)) % 1.01/1.27 (define @t551 () (_ (_ tptp.ord_less_eq_set_a @t550) @t549)) % 1.01/1.27 (define @t552 () (not @t551)) % 1.01/1.27 (define @t553 () (_ tptp.refine1198353288_RES_a @t549)) % 1.01/1.27 (define @t554 () (= @t545 @t553)) % 1.01/1.27 (define @t555 () (@list @t549)) % 1.01/1.27 (define @t556 () (_ tptp.refine1198353288_RES_a @t550)) % 1.01/1.27 (define @t557 () (= @t42 @t556)) % 1.01/1.27 (define @t558 () (@list @t550)) % 1.01/1.27 (define @t559 () (= @t545 tptp.refine464223677AILi_a)) % 1.01/1.27 (define @t560 () (_ @t43 @t545)) % 1.01/1.27 (define @t561 () (@list @t42 @t545)) % 1.01/1.27 (define @t562 () (@var "Uv2" tptp.set_a)) % 1.01/1.27 (define @t563 () (= @t328 tptp.bot_bot_set_a)) % 1.01/1.27 (define @t564 () (forall @t332 (not @t445))) % 1.01/1.27 (define @t565 () (= @t322 tptp.bot_bot_set_a)) % 1.01/1.27 (define @t566 () (@list @t321)) % 1.01/1.27 (define @t567 () (@var "B" tptp.a)) % 1.01/1.27 (define @t568 () (_ tptp.insert_a @t567)) % 1.01/1.27 (define @t569 () (_ @t568 @t463)) % 1.01/1.27 (define @t570 () (_ @t323 @t569)) % 1.01/1.27 (define @t571 () (= @t320 @t567)) % 1.01/1.27 (define @t572 () (_ @t323 @t463)) % 1.01/1.27 (define @t573 () (@list @t320 @t463 @t567)) % 1.01/1.27 (define @t574 () (_ @t323 @t328)) % 1.01/1.27 (define @t575 () (_ @t323 (_ @t568 @t328))) % 1.01/1.27 (define @t576 () (@list @t320 @t567 @t328)) % 1.01/1.27 (define @t577 () (_ tptp.insert_a @t320)) % 1.01/1.27 (define @t578 () (_ @t577 tptp.bot_bot_set_a)) % 1.01/1.27 (define @t579 () (@list @t320)) % 1.01/1.27 (define @t580 () (_ tptp.insert_a @t55)) % 1.01/1.27 (define @t581 () (_ @t580 @t328)) % 1.01/1.27 (define @t582 () (@list @t55 @t328 @t463)) % 1.01/1.27 (define @t583 () (_ @t580 tptp.bot_bot_set_a)) % 1.01/1.27 (define @t584 () (not @t571)) % 1.01/1.27 (define @t585 () (not @t574)) % 1.01/1.27 (define @t586 () (@var "Y6" tptp.a)) % 1.01/1.27 (define @t587 () (_ (_ tptp.member_a @t586) @t328)) % 1.01/1.27 (define @t588 () (not @t563)) % 1.01/1.27 (define @t589 () (@var "B6" tptp.set_a)) % 1.01/1.27 (define @t590 () (@list @t589)) % 1.01/1.27 (define @t591 () (= @t567 @t320)) % 1.01/1.27 (define @t592 () (_ tptp.member_a @t567)) % 1.01/1.27 (define @t593 () (_ @t592 @t578)) % 1.01/1.27 (define @t594 () (@list @t567 @t320)) % 1.01/1.27 (define @t595 () (_ @t580 @t463)) % 1.01/1.27 (define @t596 () (not @t497)) % 1.01/1.27 (define @t597 () (_ @t577 @t328)) % 1.01/1.27 (define @t598 () (@list @t320 @t328)) % 1.01/1.27 (define @t599 () (@var "C3" tptp.set_a)) % 1.01/1.27 (define @t600 () (not (= @t25 tptp.bot_bot_set_a))) % 1.01/1.27 (define @t601 () (@list @t25)) % 1.01/1.27 (define @t602 () (_ tptp.ord_le1051254044t_unit tptp.bot_bo658782032t_unit)) % 1.01/1.27 (define @t603 () (_ tptp.ord_le519537037nres_a tptp.bot_bo529555393nres_a)) % 1.01/1.27 (define @t604 () (= @t154 tptp.bot_bo658782032t_unit)) % 1.01/1.27 (define @t605 () (_ @t156 tptp.bot_bo658782032t_unit)) % 1.01/1.27 (define @t606 () (= @t161 tptp.bot_bo529555393nres_a)) % 1.01/1.27 (define @t607 () (_ @t163 tptp.bot_bo529555393nres_a)) % 1.01/1.27 (define @t608 () (@var "Nres" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t609 () (@var "X22" tptp.set_a)) % 1.01/1.27 (define @t610 () (@var "A1" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t611 () (@var "A0" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t612 () (@var "P" (-> tptp.refine424419629nres_a tptp.refine424419629nres_a Bool))) % 1.01/1.27 (define @t613 () (_ (_ @t612 @t611) @t610)) % 1.01/1.27 (define @t614 () (forall (@list @t550 @t549) (_ (_ @t612 @t556) @t553))) % 1.01/1.27 (define @t615 () (=> @t614 @t613)) % 1.01/1.27 (define @t616 () (@var "V2" tptp.set_a)) % 1.01/1.27 (define @t617 () (_ @t612 tptp.refine464223677AILi_a)) % 1.01/1.27 (define @t618 () (@var "Uu" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t619 () (forall (@list @t618) (_ (_ @t612 @t618) tptp.refine464223677AILi_a))) % 1.01/1.27 (define @t620 () (@list @t612 @t611 @t610)) % 1.01/1.27 (define @t621 () (@var "X_1" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t622 () (@var "Uu2" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t623 () (@list (@var "Uu3" tptp.product_unit))) % 1.01/1.27 (define @t624 () (= @t2 tptp.bot_bo1087887705t_unit)) % 1.01/1.27 (define @t625 () (= @t7 tptp.bot_bot_set_a)) % 1.01/1.27 (define @t626 () (= (_ @t307 tptp.bot_bo658782032t_unit) tptp.bot_bo658782032t_unit)) % 1.01/1.27 (define @t627 () (_ tptp.refine459374679t_unit @t307)) % 1.01/1.27 (define @t628 () (@list @t307)) % 1.01/1.27 (define @t629 () (_ @t501 (_ tptp.uminus_uminus_set_a @t328))) % 1.01/1.27 (define @t630 () (not @t502)) % 1.01/1.27 (define @t631 () (@list @t500 @t328)) % 1.01/1.27 (define @t632 () (forall @t327 (= (_ @t507 @t325) (_ @t506 @t325)))) % 1.01/1.27 (define @t633 () (@var "X7" tptp.product_unit)) % 1.01/1.27 (define @t634 () (_ tptp.partia1658438072t_unit tptp.bot_bo658782032t_unit)) % 1.01/1.27 (define @t635 () (@var "Phi" Bool)) % 1.01/1.27 (define @t636 () (_ tptp.refine23983189ASSUME @t635)) % 1.01/1.27 (define @t637 () (= @t417 tptp.top_to231829469nres_a)) % 1.01/1.27 (define @t638 () (_ tptp.ord_le519537037nres_a tptp.top_to231829469nres_a)) % 1.01/1.27 (define @t639 () (= @t161 tptp.top_to231829469nres_a)) % 1.01/1.27 (define @t640 () (_ @t638 @t161)) % 1.01/1.27 (define @t641 () (@list @t454)) % 1.01/1.27 (define @t642 () (@var "X8" tptp.set_a)) % 1.01/1.27 (define @t643 () (_ tptp.if_Ref1724547303nres_a false)) % 1.01/1.27 (define @t644 () (_ (_ @t643 @t42) @t44)) % 1.01/1.27 (define @t645 () (forall @t246 (= @t644 @t44))) % 1.01/1.27 (define @t646 () (_ (_ (_ tptp.if_Ref1724547303nres_a true) @t42) @t44)) % 1.01/1.27 (define @t647 () (forall @t246 (= @t646 @t42))) % 1.01/1.27 (define @t648 () (@var "P" Bool)) % 1.01/1.27 (define @t649 () (_ tptp.collect_a tptp.phi)) % 1.01/1.27 (define @t650 () (_ tptp.refine1198353288_RES_a @t649)) % 1.01/1.27 (define @t651 () (=> tptp.b (_ (_ tptp.ord_le519537037nres_a tptp.s1) @t650))) % 1.01/1.27 (define @t652 () (not tptp.b)) % 1.01/1.27 (define @t653 () (=> @t652 (_ (_ tptp.ord_le519537037nres_a tptp.s2) @t650))) % 1.01/1.27 (define @t654 () (_ tptp.if_Ref1724547303nres_a tptp.b)) % 1.01/1.27 (define @t655 () (_ (_ @t654 tptp.s1) tptp.s2)) % 1.01/1.27 (define @t656 () (not (_ (_ tptp.ord_le519537037nres_a @t655) @t650))) % 1.01/1.27 (define @t657 () (@var "X5" Bool)) % 1.01/1.27 (define @t658 () (@var "G2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t659 () (@var "F2" (-> Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t660 () (lambda (@list @t659 @t658) (forall (@list @t657) (_ (_ tptp.ord_le519537037nres_a (_ @t659 @t657)) (_ @t658 @t657))))) % 1.01/1.27 (define @t661 () (@var "Y8" (-> Bool tptp.set_a))) % 1.01/1.27 (define @t662 () (@var "X6" (-> Bool tptp.set_a))) % 1.01/1.27 (define @t663 () (lambda (@list @t662 @t661) (and (_ (_ tptp.ord_less_eq_set_a (_ @t662 false)) (_ @t661 false)) (_ (_ tptp.ord_less_eq_set_a (_ @t662 true)) (_ @t661 true))))) % 1.01/1.27 (define @t664 () (@var "Y8" (-> Bool Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t665 () (@var "X6" (-> Bool Bool tptp.refine424419629nres_a))) % 1.01/1.27 (define @t666 () (lambda (@list @t665 @t664) (and (_ (_ tptp.ord_le516598614nres_a (_ @t665 false)) (_ @t664 false)) (_ (_ tptp.ord_le516598614nres_a (_ @t665 true)) (_ @t664 true))))) % 1.01/1.27 (define @t667 () (@var "Y8" (-> Bool tptp.refine787176636t_unit))) % 1.01/1.27 (define @t668 () (@var "X6" (-> Bool tptp.refine787176636t_unit))) % 1.01/1.27 (define @t669 () (lambda (@list @t668 @t667) (and (_ (_ tptp.ord_le1051254044t_unit (_ @t668 false)) (_ @t667 false)) (_ (_ tptp.ord_le1051254044t_unit (_ @t668 true)) (_ @t667 true))))) % 1.01/1.27 (define @t670 () (@var "M7" tptp.set_Product_unit)) % 1.01/1.27 (define @t671 () (@var "M6" tptp.refine787176636t_unit)) % 1.01/1.27 (define @t672 () (lambda (@list @t671) (exists (@list @t670) (= @t671 (_ tptp.refine1777164439t_unit @t670))))) % 1.01/1.27 (define @t673 () (@var "M7" tptp.set_a)) % 1.01/1.27 (define @t674 () (_ tptp.refine1198353288_RES_a @t673)) % 1.01/1.27 (define @t675 () (@var "M6" tptp.refine424419629nres_a)) % 1.01/1.27 (define @t676 () (= @t675 @t674)) % 1.01/1.27 (define @t677 () (@list @t673)) % 1.01/1.27 (define @t678 () (exists @t677 @t676)) % 1.01/1.27 (define @t679 () (@list @t675)) % 1.01/1.27 (define @t680 () (lambda @t679 @t678)) % 1.01/1.27 (define @t681 () (forall @t332 (=> @t517 @t515))) % 1.01/1.27 (define @t682 () (and @t519 @t681)) % 1.01/1.27 (define @t683 () (=> @t518 @t682)) % 1.01/1.27 (define @t684 () (lambda @t520 @t683)) % 1.01/1.27 (define @t685 () (lambda @t527 (=> @t525 (and @t526 (forall @t327 (=> @t524 @t522)))))) % 1.01/1.27 (define @t686 () (lambda (@list @t671 @t325) (and (_ tptp.refine579265252t_unit @t671) (_ (_ tptp.refine558004794t_unit @t671) @t325)))) % 1.01/1.27 (define @t687 () (lambda (@list @t675 @t329) (and (_ tptp.refine412683989fail_a @t675) (_ (_ tptp.refine1001002027nres_a @t675) @t329)))) % 1.01/1.27 (define @t688 () (@var "T3" tptp.product_unit)) % 1.01/1.27 (define @t689 () (_ tptp.member_Product_unit @t688)) % 1.01/1.27 (define @t690 () (lambda @t541 (forall (@list @t688) (=> (_ @t689 @t540) (_ @t689 @t539))))) % 1.01/1.27 (define @t691 () (@var "T3" tptp.a)) % 1.01/1.27 (define @t692 () (_ tptp.member_a @t691)) % 1.01/1.27 (define @t693 () (lambda @t537 (forall (@list @t691) (=> (_ @t692 @t535) (_ @t692 @t536))))) % 1.01/1.27 (define @t694 () (lambda @t332 (_ tptp.refine1198353288_RES_a (_ (_ tptp.insert_a @t329) tptp.bot_bot_set_a)))) % 1.01/1.27 (define @t695 () (@var "F2" (-> tptp.refine787176636t_unit tptp.refine787176636t_unit))) % 1.01/1.27 (define @t696 () (lambda (@list @t695) (= (_ @t695 tptp.bot_bo658782032t_unit) tptp.bot_bo658782032t_unit))) % 1.01/1.27 (define @t697 () (lambda @t332 (_ @t330 tptp.bot_bot_set_a))) % 1.01/1.27 (define @t698 () (@purify true)) % 1.01/1.27 (define @t699 () (tptp.collect_a tptp.phi)) % 1.01/1.27 (define @t700 () (tptp.refine1198353288_RES_a @t699)) % 1.01/1.27 (define @t701 () (tptp.refine1001002027nres_a @t700 @t329)) % 1.01/1.27 (define @t702 () (not (tptp.refine1001002027nres_a tptp.s2 @t329))) % 1.01/1.27 (define @t703 () (forall @t332 (or @t702 @t701))) % 1.01/1.27 (define @t704 () (tptp.refine1198353288_RES_a @t673)) % 1.01/1.27 (define @t705 () (forall @t677 (not (= tptp.s2 @t704)))) % 1.01/1.27 (define @t706 () (not @t705)) % 1.01/1.27 (define @t707 () (and @t706 @t703)) % 1.01/1.27 (define @t708 () (forall @t677 (not (= @t704 @t700)))) % 1.01/1.27 (define @t709 () (not @t708)) % 1.01/1.27 (define @t710 () (=> @t709 @t707)) % 1.01/1.27 (define @t711 () (tptp.refine1001002027nres_a @t650 @t329)) % 1.01/1.27 (define @t712 () (or @t702 @t711)) % 1.01/1.27 (define @t713 () (forall @t332 @t712)) % 1.01/1.27 (define @t714 () (and @t706 @t713)) % 1.01/1.27 (define @t715 () (= @t704 @t650)) % 1.01/1.27 (define @t716 () (not @t715)) % 1.01/1.27 (define @t717 () (forall @t677 @t716)) % 1.01/1.27 (define @t718 () (not @t717)) % 1.01/1.27 (define @t719 () (=> @t718 @t714)) % 1.01/1.27 (define @t720 () (tptp.refine1001002027nres_a @t514 @t329)) % 1.01/1.27 (define @t721 () (forall @t332 (or @t702 @t720))) % 1.01/1.27 (define @t722 () (not (forall @t677 (not (= @t704 @t514))))) % 1.01/1.27 (define @t723 () (@list @t514)) % 1.01/1.27 (define @t724 () (not (= @t704 tptp.s2))) % 1.01/1.27 (define @t725 () (forall @t677 @t724)) % 1.01/1.27 (define @t726 () (not @t725)) % 1.01/1.27 (define @t727 () (and @t726 @t721)) % 1.01/1.27 (define @t728 () (=> @t722 @t727)) % 1.01/1.27 (define @t729 () (lambda @t723 @t728)) % 1.01/1.27 (define @t730 () (tptp.refine1001002027nres_a @t516 @t329)) % 1.01/1.27 (define @t731 () (lambda @t520 (=> @t722 (and (not (forall @t677 (not (= @t704 @t516)))) (forall @t332 (or (not @t730) @t720)))))) % 1.01/1.27 (define @t732 () (_ @t731 tptp.s2)) % 1.01/1.27 (define @t733 () (not @t517)) % 1.01/1.27 (define @t734 () (or @t733 @t515)) % 1.01/1.27 (define @t735 () (not (= @t516 @t704))) % 1.01/1.27 (define @t736 () (forall @t677 @t735)) % 1.01/1.27 (define @t737 () (not @t736)) % 1.01/1.27 (define @t738 () (lambda @t679 (not (forall @t677 (not (= @t675 @t704)))))) % 1.01/1.27 (define @t739 () (_ @t738 @t516)) % 1.01/1.27 (define @t740 () (and @t739 @t681)) % 1.01/1.27 (define @t741 () (not (= @t514 @t704))) % 1.01/1.27 (define @t742 () (forall @t677 @t741)) % 1.01/1.27 (define @t743 () (not @t742)) % 1.01/1.27 (define @t744 () (_ @t738 @t514)) % 1.01/1.27 (define @t745 () (not @t676)) % 1.01/1.27 (define @t746 () (forall @t677 @t745)) % 1.01/1.27 (define @t747 () (not @t746)) % 1.01/1.27 (define @t748 () (@purify tptp.b)) % 1.01/1.27 (define @t749 () (tptp.if_Ref1724547303nres_a tptp.b tptp.s1 tptp.s2)) % 1.01/1.27 (define @t750 () (not (tptp.refine1001002027nres_a @t749 @t329))) % 1.01/1.27 (define @t751 () (or @t750 @t711)) % 1.01/1.27 (define @t752 () (forall @t332 @t751)) % 1.01/1.27 (define @t753 () (forall @t677 (not (= @t704 @t749)))) % 1.01/1.27 (define @t754 () (not @t753)) % 1.01/1.27 (define @t755 () (and @t754 @t752)) % 1.01/1.27 (define @t756 () (=> @t718 @t755)) % 1.01/1.27 (define @t757 () (tptp.refine1001002027nres_a @t655 @t329)) % 1.01/1.27 (define @t758 () (not @t757)) % 1.01/1.27 (define @t759 () (or @t758 @t720)) % 1.01/1.27 (define @t760 () (forall @t332 @t759)) % 1.01/1.27 (define @t761 () (= @t704 @t655)) % 1.01/1.27 (define @t762 () (not @t761)) % 1.01/1.27 (define @t763 () (forall @t677 @t762)) % 1.01/1.27 (define @t764 () (not @t763)) % 1.01/1.27 (define @t765 () (and @t764 @t760)) % 1.01/1.27 (define @t766 () (=> @t722 @t765)) % 1.01/1.27 (define @t767 () (lambda @t723 @t766)) % 1.01/1.27 (define @t768 () (_ @t731 @t655)) % 1.01/1.27 (define @t769 () (not @t710)) % 1.01/1.27 (define @t770 () (not @t709)) % 1.01/1.27 (define @t771 () (not @t707)) % 1.01/1.27 (define @t772 () (@quantifiers_skolemize @t705 0)) % 1.01/1.27 (define @t773 () (tptp.refine1198353288_RES_a @t772)) % 1.01/1.27 (define @t774 () (= tptp.s2 @t773)) % 1.01/1.27 (define @t775 () (not @t774)) % 1.01/1.27 (define @t776 () (not @t775)) % 1.01/1.27 (define @t777 () (forall @t332 (or @t750 @t701))) % 1.01/1.27 (define @t778 () (@quantifiers_skolemize @t777 0)) % 1.01/1.27 (define @t779 () (@list @t778)) % 1.01/1.27 (define @t780 () (tptp.refine1001002027nres_a @t700 @t778)) % 1.01/1.27 (define @t781 () (tptp.refine1001002027nres_a tptp.s2 @t778)) % 1.01/1.27 (define @t782 () (not @t781)) % 1.01/1.27 (define @t783 () (or @t782 @t780)) % 1.01/1.27 (define @t784 () (@purify false)) % 1.01/1.27 (define @t785 () (_ tptp.if_Ref1724547303nres_a @t748)) % 1.01/1.27 (define @t786 () (@purify @t785)) % 1.01/1.27 (define @t787 () (_ @t786 tptp.s1 tptp.s2)) % 1.01/1.27 (define @t788 () (tptp.if_Ref1724547303nres_a @t748 tptp.s1 tptp.s2)) % 1.01/1.27 (define @t789 () (_ (_ @t785 tptp.s1) tptp.s2)) % 1.01/1.27 (define @t790 () (= @t789 @t787)) % 1.01/1.27 (define @t791 () (= @t785 @t786)) % 1.01/1.27 (define @t792 () (and @t791 @t790)) % 1.01/1.27 (define @t793 () (_ @t654 tptp.s1 tptp.s2)) % 1.01/1.27 (define @t794 () (= @t655 @t793)) % 1.01/1.27 (define @t795 () (tptp.if_Ref1724547303nres_a false @t42 @t44)) % 1.01/1.27 (define @t796 () (= @t44 @t644)) % 1.01/1.27 (define @t797 () (not @t784)) % 1.01/1.27 (define @t798 () (tptp.if_Ref1724547303nres_a false tptp.s1 tptp.s2)) % 1.01/1.27 (define @t799 () (= tptp.s2 @t798)) % 1.01/1.27 (define @t800 () (forall @t246 (= @t44 @t795))) % 1.01/1.27 (define @t801 () (@list tptp.s1 tptp.s2)) % 1.01/1.27 (define @t802 () (tptp.if_Ref1724547303nres_a @t784 tptp.s1 tptp.s2)) % 1.01/1.27 (define @t803 () (= tptp.s2 @t802)) % 1.01/1.27 (define @t804 () (@list false)) % 1.01/1.27 (define @t805 () (_ tptp.if_Ref1724547303nres_a @t784)) % 1.01/1.27 (define @t806 () (@purify @t805)) % 1.01/1.27 (define @t807 () (_ @t806 tptp.s1 tptp.s2)) % 1.01/1.27 (define @t808 () (_ (_ @t805 tptp.s1) tptp.s2)) % 1.01/1.27 (define @t809 () (= @t808 @t807)) % 1.01/1.27 (define @t810 () (= @t805 @t806)) % 1.01/1.27 (define @t811 () (and @t810 @t809)) % 1.01/1.27 (define @t812 () (_ (_ @t643 tptp.s1) tptp.s2)) % 1.01/1.27 (define @t813 () (_ @t643 tptp.s1 tptp.s2)) % 1.01/1.27 (define @t814 () (= @t812 @t813)) % 1.01/1.27 (define @t815 () (= @t773 @t788)) % 1.01/1.27 (define @t816 () (= @t802 @t807)) % 1.01/1.27 (define @t817 () (not @t816)) % 1.01/1.27 (define @t818 () (not @t810)) % 1.01/1.27 (define @t819 () (not @t803)) % 1.01/1.27 (define @t820 () (= @t788 @t787)) % 1.01/1.27 (define @t821 () (not @t820)) % 1.01/1.27 (define @t822 () (not @t791)) % 1.01/1.27 (define @t823 () (not @t748)) % 1.01/1.27 (define @t824 () (not @t823)) % 1.01/1.27 (define @t825 () (not @t797)) % 1.01/1.27 (define @t826 () (and @t797 @t774 @t823 @t791 @t820 @t803 @t810 @t816)) % 1.01/1.27 (define @t827 () (= @t749 @t773)) % 1.01/1.27 (define @t828 () (not @t827)) % 1.01/1.27 (define @t829 () (not (= @t773 @t749))) % 1.01/1.27 (define @t830 () (not @t777)) % 1.01/1.27 (define @t831 () (tptp.refine1001002027nres_a @t788 @t778)) % 1.01/1.27 (define @t832 () (not @t831)) % 1.01/1.27 (define @t833 () (or @t832 @t780)) % 1.01/1.27 (define @t834 () (not @t833)) % 1.01/1.27 (define @t835 () (tptp.refine1001002027nres_a @t749 @t778)) % 1.01/1.27 (define @t836 () (not @t835)) % 1.01/1.27 (define @t837 () (or @t836 @t780)) % 1.01/1.27 (define @t838 () (not @t837)) % 1.01/1.27 (define @t839 () (and @t797 @t823 @t791 @t820 @t803 @t831 @t810 @t816)) % 1.01/1.27 (define @t840 () (@list tptp.b)) % 1.01/1.27 (define @t841 () (tptp.if_Ref1724547303nres_a true @t42 @t44)) % 1.01/1.27 (define @t842 () (= @t42 @t646)) % 1.01/1.27 (define @t843 () (tptp.if_Ref1724547303nres_a true tptp.s1 tptp.s2)) % 1.01/1.27 (define @t844 () (= tptp.s1 @t843)) % 1.01/1.27 (define @t845 () (forall @t246 (= @t42 @t841))) % 1.01/1.27 (define @t846 () (tptp.if_Ref1724547303nres_a @t698 tptp.s1 tptp.s2)) % 1.01/1.27 (define @t847 () (= tptp.s1 @t846)) % 1.01/1.27 (define @t848 () (not (tptp.refine1001002027nres_a tptp.s1 @t329))) % 1.01/1.27 (define @t849 () (or @t848 @t711)) % 1.01/1.27 (define @t850 () (forall @t332 @t849)) % 1.01/1.27 (define @t851 () (forall @t677 (not (= tptp.s1 @t704)))) % 1.01/1.27 (define @t852 () (not @t851)) % 1.01/1.27 (define @t853 () (and @t852 @t850)) % 1.01/1.27 (define @t854 () (=> @t718 @t853)) % 1.01/1.27 (define @t855 () (forall @t332 (or @t848 @t720))) % 1.01/1.27 (define @t856 () (not (= @t704 tptp.s1))) % 1.01/1.27 (define @t857 () (forall @t677 @t856)) % 1.01/1.27 (define @t858 () (not @t857)) % 1.01/1.27 (define @t859 () (and @t858 @t855)) % 1.01/1.27 (define @t860 () (=> @t722 @t859)) % 1.01/1.27 (define @t861 () (lambda @t723 @t860)) % 1.01/1.27 (define @t862 () (_ @t731 tptp.s1)) % 1.01/1.27 (define @t863 () (forall @t332 (or @t848 @t701))) % 1.01/1.27 (define @t864 () (and @t852 @t863)) % 1.01/1.27 (define @t865 () (=> @t709 @t864)) % 1.01/1.27 (define @t866 () (not @t865)) % 1.01/1.27 (define @t867 () (@list true false)) % 1.01/1.27 (define @t868 () (not @t864)) % 1.01/1.27 (define @t869 () (@list @t864)) % 1.01/1.27 (define @t870 () (@quantifiers_skolemize @t851 0)) % 1.01/1.27 (define @t871 () (tptp.refine1198353288_RES_a @t870)) % 1.01/1.27 (define @t872 () (= tptp.s1 @t871)) % 1.01/1.27 (define @t873 () (not (not @t872))) % 1.01/1.27 (define @t874 () (@list true)) % 1.01/1.27 (define @t875 () (= @t788 @t871)) % 1.01/1.27 (define @t876 () (and @t698 @t748 @t872 @t847)) % 1.01/1.27 (define @t877 () (= @t749 @t871)) % 1.01/1.27 (define @t878 () (not @t877)) % 1.01/1.27 (define @t879 () (not (= @t871 @t749))) % 1.01/1.27 (define @t880 () (@list @t833)) % 1.01/1.27 (define @t881 () (tptp.refine1001002027nres_a tptp.s1 @t778)) % 1.01/1.27 (define @t882 () (not @t881)) % 1.01/1.27 (define @t883 () (or @t882 @t780)) % 1.01/1.27 (define @t884 () (and @t698 @t748 @t831 @t847)) % 1.01/1.27 (assume @p1 (forall @t5 (= (= @t4 @t3) (= @t2 @t1)))) % 1.01/1.27 (assume @p2 (forall @t10 (= (= @t9 @t8) (= @t7 @t6)))) % 1.01/1.27 (assume @p3 (forall (@list @t12 @t11) (= (= (_ tptp.refine1777164439t_unit @t12) (_ tptp.refine1777164439t_unit @t11)) (= @t12 @t11)))) % 1.01/1.27 (assume @p4 (forall (@list @t14 @t13) (= (= @t15 (_ tptp.refine1198353288_RES_a @t13)) (= @t14 @t13)))) % 1.01/1.27 (assume @p5 (forall (@list @t18 @t16) (=> (forall @t22 (=> (_ @t21 @t18) @t20)) (_ (_ tptp.ord_le1051254044t_unit (_ tptp.refine1777164439t_unit @t18)) @t17)))) % 1.01/1.27 (assume @p6 (forall (@list @t25 @t23) (=> (forall @t30 (=> @t29 @t27)) (_ (_ tptp.ord_le519537037nres_a (_ tptp.refine1198353288_RES_a @t25)) @t24)))) % 1.01/1.27 (assume @p7 (forall (@list @t16 @t31) (=> (forall @t22 (=> @t20 (_ @t31 @t19))) (_ (_ tptp.ord_le1051254044t_unit @t17) (_ tptp.refine1777164439t_unit (_ tptp.collect_Product_unit @t31)))))) % 1.01/1.27 (assume @p8 (forall (@list @t23 @t32) (=> (forall @t30 (=> @t27 (_ @t32 @t26))) (_ (_ tptp.ord_le519537037nres_a @t24) (_ tptp.refine1198353288_RES_a (_ tptp.collect_a @t32)))))) % 1.01/1.27 (assume @p9 (forall (@list @t35 @t37 @t33) (=> @t39 (=> (_ @t38 @t34) (_ @t36 @t34))))) % 1.01/1.27 (assume @p10 (forall (@list @t42 @t44 @t40) (=> @t46 (=> (_ @t45 @t41) (_ @t43 @t41))))) % 1.01/1.27 (assume @p11 (forall (@list @t48 @t16 @t47) (=> (_ @t49 @t17) (=> (forall @t22 (=> @t20 (_ @t47 @t19))) (_ @t49 (_ tptp.refine1777164439t_unit (_ tptp.collect_Product_unit @t47))))))) % 1.01/1.27 (assume @p12 (forall (@list @t51 @t23 @t50) (=> (_ @t52 @t24) (=> (forall @t30 (=> @t27 (_ @t50 @t26))) (_ @t52 (_ tptp.refine1198353288_RES_a (_ tptp.collect_a @t50))))))) % 1.01/1.27 (assume @p13 (forall (@list @t2 @t53) (= (_ (_ tptp.refine983493746t_unit @t4) @t53) (_ @t54 @t2)))) % 1.01/1.27 (assume @p14 (forall @t57 (= (_ (_ tptp.refine1312857699nres_a @t9) @t55) (_ @t56 @t7)))) % 1.01/1.27 (assume @p15 (forall @t59 (= (_ (_ tptp.refine983493746t_unit @t17) @t53) @t58))) % 1.01/1.27 (assume @p16 (forall @t61 (= (_ (_ tptp.refine1312857699nres_a @t24) @t55) @t60))) % 1.01/1.27 (assume @p17 (forall (@list @t62) (_ @t63 @t62))) % 1.01/1.27 (assume @p18 (forall (@list @t64) (_ @t65 @t64))) % 1.01/1.27 (assume @p19 (forall (@list @t35) (_ @t36 @t35))) % 1.01/1.27 (assume @p20 (forall (@list @t42) (_ @t43 @t42))) % 1.01/1.27 (assume @p21 (forall @t66 (= (_ tptp.refine1208325748t_unit @t4) @t2))) % 1.01/1.27 (assume @p22 (forall @t67 (= (_ tptp.refine1822134885_RES_a @t9) @t7))) % 1.01/1.27 (assume @p23 (forall (@list @t53 @t1) (= (_ @t69 @t3) (_ @t54 @t1)))) % 1.01/1.27 (assume @p24 (forall (@list @t55 @t6) (= (_ @t71 @t8) (_ @t56 @t6)))) % 1.01/1.27 (assume @p25 (forall @t78 (=> @t77 (_ (_ tptp.ord_le519537037nres_a @t76) @t74)))) % 1.01/1.27 (assume @p26 (forall (@list @t75 @t73) (=> (forall (@list @t79) (_ (_ tptp.ord_le519537037nres_a (_ @t75 @t79)) (_ @t73 @t79))) @t77))) % 1.01/1.27 (assume @p27 (forall (@list @t82 @t85 @t81 @t84 @t80) (=> (=> @t82 (_ (_ tptp.ord_less_eq_set_a @t85) @t81)) (=> (=> @t86 (_ (_ tptp.ord_less_eq_set_a @t84) @t80)) (_ (_ tptp.ord_less_eq_set_a (_ (_ @t83 @t85) @t84)) (_ (_ @t83 @t81) @t80)))))) % 1.01/1.27 (assume @p28 (forall (@list @t82 @t91 @t88 @t90 @t87) (=> (=> @t82 (_ (_ tptp.ord_le516598614nres_a @t91) @t88)) (=> (=> @t86 (_ (_ tptp.ord_le516598614nres_a @t90) @t87)) (_ (_ tptp.ord_le516598614nres_a (_ (_ @t89 @t91) @t90)) (_ (_ @t89 @t88) @t87)))))) % 1.01/1.27 (assume @p29 (forall (@list @t82 @t96 @t93 @t95 @t92) (=> (=> @t82 (_ (_ tptp.ord_le1051254044t_unit @t96) @t93)) (=> (=> @t86 (_ (_ tptp.ord_le1051254044t_unit @t95) @t92)) (_ (_ tptp.ord_le1051254044t_unit (_ (_ @t94 @t96) @t95)) (_ (_ @t94 @t93) @t92)))))) % 1.01/1.27 (assume @p30 (forall (@list @t82 @t101 @t98 @t100 @t97) (=> (=> @t82 (_ (_ tptp.ord_le519537037nres_a @t101) @t98)) (=> (=> @t86 (_ (_ tptp.ord_le519537037nres_a @t100) @t97)) (_ (_ tptp.ord_le519537037nres_a (_ (_ @t99 @t101) @t100)) (_ (_ @t99 @t98) @t97)))))) % 1.01/1.27 (assume @p31 (forall @t105 (= (= @t70 @t104) @t103))) % 1.01/1.27 (assume @p32 (forall @t109 (= (= @t68 @t108) @t107))) % 1.01/1.27 (assume @p33 (forall @t109 (= (_ @t69 @t108) @t107))) % 1.01/1.27 (assume @p34 (forall @t105 (= (_ @t71 @t104) @t103))) % 1.01/1.27 (assume @p35 (forall (@list @t111 @t110) (= (_ (_ tptp.ord_le1051254044t_unit (_ tptp.refine1777164439t_unit @t111)) (_ tptp.refine1777164439t_unit @t110)) (_ (_ tptp.ord_le1023748749t_unit @t111) @t110)))) % 1.01/1.27 (assume @p36 (forall @t116 (= (_ (_ tptp.ord_le519537037nres_a (_ tptp.refine1198353288_RES_a @t113)) (_ tptp.refine1198353288_RES_a @t112)) @t115))) % 1.01/1.27 (assume @p37 (forall @t5 (= (_ (_ tptp.ord_le1051254044t_unit @t4) @t3) (_ (_ tptp.ord_le1023748749t_unit @t2) @t1)))) % 1.01/1.27 (assume @p38 (forall @t10 (= (_ @t118 @t8) (_ @t117 @t6)))) % 1.01/1.27 (assume @p39 (forall (@list @t48 @t119) (=> (_ @t49 (_ tptp.refine1777164439t_unit (_ tptp.collect_Product_unit (_ @t122 @t119)))) (_ @t49 (_ tptp.refine1420258419t_unit @t119))))) % 1.01/1.27 (assume @p40 (forall (@list @t51 @t123) (=> (_ @t52 (_ tptp.refine1198353288_RES_a (_ tptp.collect_a (_ @t126 @t123)))) (_ @t52 (_ tptp.refine2063221604TURN_a @t123))))) % 1.01/1.27 (assume @p41 (forall @t59 (=> @t58 (_ @t69 @t17)))) % 1.01/1.27 (assume @p42 (forall @t61 (=> @t60 (_ @t71 @t24)))) % 1.01/1.27 (assume @p43 (forall (@list @t130 @t128 @t129 @t127 @t82) (=> (_ (_ tptp.ord_less_eq_set_a @t130) @t128) (=> (_ (_ tptp.ord_less_eq_set_a @t129) @t127) (_ (_ tptp.ord_less_eq_set_a (_ (_ @t83 @t130) @t129)) (_ (_ @t83 @t128) @t127)))))) % 1.01/1.27 (assume @p44 (forall (@list @t134 @t132 @t133 @t131 @t82) (=> (_ (_ tptp.ord_le516598614nres_a @t134) @t132) (=> (_ (_ tptp.ord_le516598614nres_a @t133) @t131) (_ (_ tptp.ord_le516598614nres_a (_ (_ @t89 @t134) @t133)) (_ (_ @t89 @t132) @t131)))))) % 1.01/1.27 (assume @p45 (forall (@list @t138 @t136 @t137 @t135 @t82) (=> (_ (_ tptp.ord_le1051254044t_unit @t138) @t136) (=> (_ (_ tptp.ord_le1051254044t_unit @t137) @t135) (_ (_ tptp.ord_le1051254044t_unit (_ (_ @t94 @t138) @t137)) (_ (_ @t94 @t136) @t135)))))) % 1.01/1.27 (assume @p46 (forall (@list @t142 @t140 @t141 @t139 @t82) (=> (_ (_ tptp.ord_le519537037nres_a @t142) @t140) (=> (_ (_ tptp.ord_le519537037nres_a @t141) @t139) (_ (_ tptp.ord_le519537037nres_a (_ (_ @t99 @t142) @t141)) (_ (_ @t99 @t140) @t139)))))) % 1.01/1.27 (assume @p47 (forall (@list @t112 @t113) (=> @t145 (=> @t115 @t143)))) % 1.01/1.27 (assume @p48 (forall (@list @t146 @t147) (=> @t152 (=> @t150 @t148)))) % 1.01/1.27 (assume @p49 (forall (@list @t153 @t154) (=> @t159 (=> @t157 @t155)))) % 1.01/1.27 (assume @p50 (forall (@list @t160 @t161) (=> @t166 (=> @t164 @t162)))) % 1.01/1.27 (assume @p51 (= @t174 (lambda @t171 (and @t170 @t169)))) % 1.01/1.27 (assume @p52 (= @t182 (lambda @t179 (and @t178 @t177)))) % 1.01/1.27 (assume @p53 (= @t190 (lambda @t187 (and @t186 @t185)))) % 1.01/1.27 (assume @p54 (= @t198 (lambda @t195 (and @t194 @t193)))) % 1.01/1.27 (assume @p55 (forall (@list @t112 @t113 @t199) (=> @t145 (=> (_ @t200 @t112) (_ @t200 @t113))))) % 1.01/1.27 (assume @p56 (forall (@list @t146 @t147 @t201) (=> @t152 (=> (_ @t202 @t146) (_ @t202 @t147))))) % 1.01/1.27 (assume @p57 (forall (@list @t153 @t154 @t203) (=> @t159 (=> (_ @t204 @t153) (_ @t204 @t154))))) % 1.01/1.27 (assume @p58 (forall (@list @t160 @t161 @t205) (=> @t166 (=> (_ @t206 @t160) (_ @t206 @t161))))) % 1.01/1.27 (assume @p59 (forall (@list @t113) (_ @t114 @t113))) % 1.01/1.27 (assume @p60 (forall (@list @t147) (_ @t149 @t147))) % 1.01/1.27 (assume @p61 (forall @t207 (_ @t156 @t154))) % 1.01/1.27 (assume @p62 (forall @t208 (_ @t163 @t161))) % 1.01/1.27 (assume @p63 (forall (@list @t62 @t210 @t209) (=> @t212 (=> (_ @t211 @t209) (_ @t63 @t209))))) % 1.01/1.27 (assume @p64 (forall (@list @t64 @t214 @t213) (=> @t216 (=> (_ @t215 @t213) (_ @t65 @t213))))) % 1.01/1.27 (assume @p65 (forall (@list @t35 @t37 @t217) (=> @t39 (=> (_ @t38 @t217) (_ @t36 @t217))))) % 1.01/1.27 (assume @p66 (forall (@list @t42 @t44 @t218) (=> @t46 (=> (_ @t45 @t218) (_ @t43 @t218))))) % 1.01/1.27 (assume @p67 (forall @t116 (=> @t115 (=> @t145 @t143)))) % 1.01/1.27 (assume @p68 (forall (@list @t147 @t146) (=> @t150 (=> @t152 @t148)))) % 1.01/1.27 (assume @p69 (forall (@list @t154 @t153) (=> @t157 (=> @t159 @t155)))) % 1.01/1.27 (assume @p70 (forall (@list @t161 @t160) (=> @t164 (=> @t166 @t162)))) % 1.01/1.27 (assume @p71 (forall @t220 (=> @t115 (=> (= @t112 @t199) @t219)))) % 1.01/1.27 (assume @p72 (forall @t222 (=> @t150 (=> (= @t146 @t201) @t221)))) % 1.01/1.27 (assume @p73 (forall @t224 (=> @t157 (=> (= @t153 @t203) @t223)))) % 1.01/1.27 (assume @p74 (forall @t226 (=> @t164 (=> (= @t160 @t205) @t225)))) % 1.01/1.27 (assume @p75 (forall @t220 (=> @t143 @t228))) % 1.01/1.27 (assume @p76 (forall @t222 (=> @t148 @t230))) % 1.01/1.27 (assume @p77 (forall @t224 (=> @t155 @t232))) % 1.01/1.27 (assume @p78 (forall @t226 (=> @t162 @t234))) % 1.01/1.27 (assume @p79 (= @t174 (lambda @t171 (and @t169 @t170)))) % 1.01/1.27 (assume @p80 (= @t182 (lambda @t179 (and @t177 @t178)))) % 1.01/1.27 (assume @p81 (= @t190 (lambda @t187 (and @t185 @t186)))) % 1.01/1.27 (assume @p82 (= @t198 (lambda @t195 (and @t193 @t194)))) % 1.01/1.27 (assume @p83 (forall (@list @t210 @t62) (=> @t236 (= @t212 @t235)))) % 1.01/1.27 (assume @p84 (forall (@list @t214 @t64) (=> @t238 (= @t216 @t237)))) % 1.01/1.27 (assume @p85 (forall (@list @t37 @t35) (=> @t240 (= @t39 @t239)))) % 1.01/1.27 (assume @p86 (forall (@list @t44 @t42) (=> @t242 (= @t46 @t241)))) % 1.01/1.27 (assume @p87 (forall @t220 (=> @t115 @t228))) % 1.01/1.27 (assume @p88 (forall @t222 (=> @t150 @t230))) % 1.01/1.27 (assume @p89 (forall @t224 (=> @t157 @t232))) % 1.01/1.27 (assume @p90 (forall @t226 (=> @t164 @t234))) % 1.01/1.27 (assume @p91 (forall @t243 (=> @t235 @t212))) % 1.01/1.27 (assume @p92 (forall @t244 (=> @t237 @t216))) % 1.01/1.27 (assume @p93 (forall @t245 (=> @t239 @t39))) % 1.01/1.27 (assume @p94 (forall @t246 (=> @t241 @t46))) % 1.01/1.27 (assume @p95 (forall @t243 (=> @t212 (=> @t236 @t235)))) % 1.01/1.27 (assume @p96 (forall @t244 (=> @t216 (=> @t238 @t237)))) % 1.01/1.27 (assume @p97 (forall @t245 (=> @t39 (=> @t240 @t239)))) % 1.01/1.27 (assume @p98 (forall @t246 (=> @t46 (=> @t242 @t241)))) % 1.01/1.27 (assume @p99 (= @t174 (lambda (@list @t247 @t248) (and (_ (_ tptp.ord_less_eq_set_a @t247) @t248) (_ (_ tptp.ord_less_eq_set_a @t248) @t247))))) % 1.01/1.27 (assume @p100 (= @t182 (lambda (@list @t249 @t250) (and (_ (_ tptp.ord_le516598614nres_a @t249) @t250) (_ (_ tptp.ord_le516598614nres_a @t250) @t249))))) % 1.01/1.27 (assume @p101 (= @t190 (lambda (@list @t251 @t252) (and (_ (_ tptp.ord_le1051254044t_unit @t251) @t252) (_ (_ tptp.ord_le1051254044t_unit @t252) @t251))))) % 1.01/1.27 (assume @p102 (= @t198 (lambda (@list @t253 @t254) (and (_ (_ tptp.ord_le519537037nres_a @t253) @t254) (_ (_ tptp.ord_le519537037nres_a @t254) @t253))))) % 1.01/1.27 (assume @p103 (forall @t263 (=> @t164 (=> (= @t262 @t205) @t261)))) % 1.01/1.27 (assume @p104 (forall @t268 (=> @t164 (=> (= @t267 @t199) @t266)))) % 1.01/1.27 (assume @p105 (forall @t273 (=> @t164 (=> (= @t272 @t203) @t271)))) % 1.01/1.27 (assume @p106 (forall @t282 (=> @t115 (=> (= @t281 @t205) @t280)))) % 1.01/1.27 (assume @p107 (forall @t287 (=> @t115 (=> (= @t286 @t199) @t285)))) % 1.01/1.27 (assume @p108 (forall @t292 (=> @t115 (=> (= @t291 @t203) @t290)))) % 1.01/1.27 (assume @p109 (forall @t301 (=> @t157 (=> (= @t300 @t205) @t299)))) % 1.01/1.27 (assume @p110 (forall @t306 (=> @t157 (=> (= @t305 @t199) @t304)))) % 1.01/1.27 (assume @p111 (forall @t311 (=> @t157 (=> (= @t310 @t203) @t309)))) % 1.01/1.27 (assume @p112 (forall @t316 (=> @t164 (=> (= @t315 @t201) @t314)))) % 1.01/1.27 (assume @p113 (forall (@list @t317 @t318) (= (_ (_ tptp.member_Product_unit @t317) @t319) (_ @t318 @t317)))) % 1.01/1.27 (assume @p114 (forall (@list @t320 @t321) (= (_ @t323 @t322) (_ @t321 @t320)))) % 1.01/1.27 (assume @p115 (forall (@list @t324) (= (_ tptp.collect_Product_unit (lambda @t327 (_ @t326 @t324))) @t324))) % 1.01/1.27 (assume @p116 (forall @t333 (= (_ tptp.collect_a (lambda @t332 @t331)) @t328))) % 1.01/1.27 (assume @p117 (forall @t338 (=> (forall @t22 (= @t337 @t336)) (= @t319 @t335)))) % 1.01/1.27 (assume @p118 (forall @t343 (=> (forall @t30 (= @t342 @t341)) (= @t322 @t340)))) % 1.01/1.27 (assume @p119 (forall @t345 (=> (= @t161 @t262) @t344))) % 1.01/1.27 (assume @p120 (forall @t347 (=> (= @t113 @t267) @t346))) % 1.01/1.27 (assume @p121 (forall @t349 (=> (= @t154 @t272) @t348))) % 1.01/1.27 (assume @p122 (forall @t351 (=> (= @t161 @t281) @t350))) % 1.01/1.27 (assume @p123 (forall @t353 (=> (= @t113 @t286) @t352))) % 1.01/1.27 (assume @p124 (forall @t355 (=> (= @t154 @t291) @t354))) % 1.01/1.27 (assume @p125 (forall @t357 (=> (= @t161 @t300) @t356))) % 1.01/1.27 (assume @p126 (forall @t359 (=> (= @t113 @t305) @t358))) % 1.01/1.27 (assume @p127 (forall @t361 (=> (= @t154 @t310) @t360))) % 1.01/1.27 (assume @p128 (forall (@list @t147 @t312 @t160 @t205) (=> (= @t147 @t315) (=> @t233 (=> @t313 (_ @t149 (_ @t312 @t205))))))) % 1.01/1.27 (assume @p129 (forall @t263 (=> @t164 (=> (_ (_ tptp.ord_le519537037nres_a @t262) @t205) @t261)))) % 1.01/1.27 (assume @p130 (forall @t268 (=> @t164 (=> (_ (_ tptp.ord_less_eq_set_a @t267) @t199) @t266)))) % 1.01/1.27 (assume @p131 (forall @t273 (=> @t164 (=> (_ (_ tptp.ord_le1051254044t_unit @t272) @t203) @t271)))) % 1.01/1.27 (assume @p132 (forall @t282 (=> @t115 (=> (_ (_ tptp.ord_le519537037nres_a @t281) @t205) @t280)))) % 1.01/1.27 (assume @p133 (forall @t287 (=> @t115 (=> (_ (_ tptp.ord_less_eq_set_a @t286) @t199) @t285)))) % 1.01/1.27 (assume @p134 (forall @t292 (=> @t115 (=> (_ (_ tptp.ord_le1051254044t_unit @t291) @t203) @t290)))) % 1.01/1.27 (assume @p135 (forall @t301 (=> @t157 (=> (_ (_ tptp.ord_le519537037nres_a @t300) @t205) @t299)))) % 1.01/1.27 (assume @p136 (forall @t306 (=> @t157 (=> (_ (_ tptp.ord_less_eq_set_a @t305) @t199) @t304)))) % 1.01/1.27 (assume @p137 (forall @t311 (=> @t157 (=> (_ (_ tptp.ord_le1051254044t_unit @t310) @t203) @t309)))) % 1.01/1.27 (assume @p138 (forall @t316 (=> @t164 (=> (_ (_ tptp.ord_le516598614nres_a @t315) @t201) @t314)))) % 1.01/1.27 (assume @p139 (forall @t345 (=> (_ @t163 @t262) @t344))) % 1.01/1.27 (assume @p140 (forall @t351 (=> (_ @t163 @t281) @t350))) % 1.01/1.27 (assume @p141 (forall @t357 (=> (_ @t163 @t300) @t356))) % 1.01/1.27 (assume @p142 (forall @t347 (=> (_ @t114 @t267) @t346))) % 1.01/1.27 (assume @p143 (forall @t353 (=> (_ @t114 @t286) @t352))) % 1.01/1.27 (assume @p144 (forall @t359 (=> (_ @t114 @t305) @t358))) % 1.01/1.27 (assume @p145 (forall @t349 (=> (_ @t156 @t272) @t348))) % 1.01/1.27 (assume @p146 (forall @t355 (=> (_ @t156 @t291) @t354))) % 1.01/1.27 (assume @p147 (forall @t361 (=> (_ @t156 @t310) @t360))) % 1.01/1.27 (assume @p148 (forall (@list @t161 @t362 @t146 @t201) (=> (_ @t163 (_ @t362 @t146)) (=> @t229 (=> (forall (@list @t364 @t363) (=> (_ (_ tptp.ord_le516598614nres_a @t364) @t363) (_ (_ tptp.ord_le519537037nres_a (_ @t362 @t364)) (_ @t362 @t363)))) (_ @t163 (_ @t362 @t201))))))) % 1.01/1.27 (assume @p149 (forall (@list @t48) (=> (_ tptp.refine579265252t_unit @t48) (= (_ tptp.refine1777164439t_unit (_ tptp.refine1208325748t_unit @t48)) @t48)))) % 1.01/1.27 (assume @p150 (forall (@list @t51) (=> (_ tptp.refine412683989fail_a @t51) (= (_ tptp.refine1198353288_RES_a (_ tptp.refine1822134885_RES_a @t51)) @t51)))) % 1.01/1.27 (assume @p151 (forall (@list @t365 @t62) (=> @t368 (=> @t367 (= @t366 @t62))))) % 1.01/1.27 (assume @p152 (forall (@list @t369 @t64) (=> @t372 (=> @t371 (= @t370 @t64))))) % 1.01/1.27 (assume @p153 (forall (@list @t373 @t35) (=> @t376 (=> @t375 (= @t374 @t35))))) % 1.01/1.27 (assume @p154 (forall (@list @t377 @t42) (=> @t380 (=> @t379 (= @t378 @t42))))) % 1.01/1.27 (assume @p155 (forall (@list @t365 @t62 @t381) (=> @t368 (=> @t367 (=> (forall @t383 (=> (_ @t365 @t276) (=> (forall (@list @t382) (=> (_ @t365 @t382) (_ (_ tptp.ord_less_eq_set_a @t382) @t276))) (_ @t381 @t276)))) (_ @t381 @t366)))))) % 1.01/1.27 (assume @p156 (forall (@list @t369 @t64 @t384) (=> @t372 (=> @t371 (=> (forall (@list @t364) (=> (_ @t369 @t364) (=> (forall (@list @t385) (=> (_ @t369 @t385) (_ (_ tptp.ord_le516598614nres_a @t385) @t364))) (_ @t384 @t364)))) (_ @t384 @t370)))))) % 1.01/1.27 (assume @p157 (forall (@list @t373 @t35 @t386) (=> @t376 (=> @t375 (=> (forall (@list @t295) (=> (_ @t373 @t295) (=> (forall (@list @t387) (=> (_ @t373 @t387) (_ (_ tptp.ord_le1051254044t_unit @t387) @t295))) (_ @t386 @t295)))) (_ @t386 @t374)))))) % 1.01/1.27 (assume @p158 (forall (@list @t377 @t42 @t388) (=> @t380 (=> @t379 (=> (forall (@list @t257) (=> (_ @t377 @t257) (=> (forall (@list @t389) (=> (_ @t377 @t389) (_ (_ tptp.ord_le519537037nres_a @t389) @t257))) (_ @t388 @t257)))) (_ @t388 @t378)))))) % 1.01/1.27 (assume @p159 (= tptp.ord_le516598614nres_a (lambda (@list @t391 @t390) (and (_ (_ tptp.ord_le519537037nres_a (_ @t391 false)) (_ @t390 false)) (_ (_ tptp.ord_le519537037nres_a (_ @t391 true)) (_ @t390 true)))))) % 1.01/1.27 (assume @p160 (forall (@list @t113 @t112 @t199 @t392) (=> @t143 (=> @t227 (=> (= @t199 @t392) (_ @t114 @t392)))))) % 1.01/1.27 (assume @p161 (forall (@list @t147 @t146 @t201 @t393) (=> @t148 (=> @t229 (=> (= @t201 @t393) (_ @t149 @t393)))))) % 1.01/1.27 (assume @p162 (forall (@list @t154 @t153 @t203 @t394) (=> @t155 (=> @t231 (=> (= @t203 @t394) (_ @t156 @t394)))))) % 1.01/1.27 (assume @p163 (forall (@list @t161 @t160 @t205 @t395) (=> @t162 (=> @t233 (=> (= @t205 @t395) (_ @t163 @t395)))))) % 1.01/1.27 (assume @p164 (forall (@list @t51 @t397 @t398 @t396) (=> (= @t51 @t397) (=> (forall @t30 (=> (_ @t401 @t397) (= @t400 @t399))) (= (_ (_ tptp.refine436832838nd_a_a @t51) @t398) (_ (_ tptp.refine436832838nd_a_a @t397) @t396)))))) % 1.01/1.27 (assume @p165 (forall (@list @t48 @t403 @t404 @t402) (=> @t409 (=> (forall @t22 (=> @t408 (= @t406 @t405))) (= (_ (_ tptp.refine681446406t_unit @t48) @t404) (_ (_ tptp.refine681446406t_unit @t403) @t402)))))) % 1.01/1.27 (assume @p166 (forall (@list @t48 @t403 @t411 @t410) (=> @t409 (=> (forall @t22 (=> @t408 (= @t413 @t412))) (= (_ (_ tptp.refine119808503unit_a @t48) @t411) (_ (_ tptp.refine119808503unit_a @t403) @t410)))))) % 1.01/1.27 (assume @p167 (forall (@list @t417 @t415 @t416 @t414) (=> @t423 (=> (forall @t30 (=> @t421 (_ @t420 (_ @t414 @t26)))) (_ @t419 (_ (_ tptp.refine96995669t_unit @t415) @t414)))))) % 1.01/1.27 (assume @p168 (forall (@list @t425 @t424 @t404 @t402) (=> @t432 (=> (forall @t22 (=> @t430 (_ @t429 @t405))) (_ @t428 (_ (_ tptp.refine681446406t_unit @t424) @t402)))))) % 1.01/1.27 (assume @p169 (forall (@list @t425 @t424 @t411 @t410) (=> @t432 (=> (forall @t22 (=> @t430 (_ @t435 @t412))) (_ @t434 (_ (_ tptp.refine119808503unit_a @t424) @t410)))))) % 1.01/1.27 (assume @p170 (forall (@list @t417 @t415 @t398 @t396) (=> @t423 (=> (forall @t30 (=> @t421 (_ @t439 @t399))) (_ @t438 (_ (_ tptp.refine436832838nd_a_a @t415) @t396)))))) % 1.01/1.27 (assume @p171 (forall @t66 (_ tptp.refine579265252t_unit @t4))) % 1.01/1.27 (assume @p172 (forall @t67 (_ tptp.refine412683989fail_a @t9))) % 1.01/1.27 (assume @p173 (forall @t440 (_ tptp.refine412683989fail_a @t70))) % 1.01/1.27 (assume @p174 (forall @t441 (_ tptp.refine579265252t_unit @t68))) % 1.01/1.27 (assume @p175 (forall @t442 (= (_ @t436 tptp.refine2063221604TURN_a) @t417))) % 1.01/1.27 (assume @p176 (forall @t443 (= (_ @t426 tptp.refine1420258419t_unit) @t425))) % 1.01/1.27 (assume @p177 (forall (@list @t55 @t398) (= (_ (_ tptp.refine436832838nd_a_a @t70) @t398) (_ @t398 @t55)))) % 1.01/1.27 (assume @p178 (forall (@list @t53 @t404) (= (_ (_ tptp.refine681446406t_unit @t68) @t404) (_ @t404 @t53)))) % 1.01/1.27 (assume @p179 (forall (@list @t53 @t411) (= (_ (_ tptp.refine119808503unit_a @t68) @t411) (_ @t411 @t53)))) % 1.01/1.27 (assume @p180 (forall (@list @t18 @t318) (= (_ (_ tptp.ord_le1023748749t_unit @t18) @t319) (forall @t327 (=> (_ @t326 @t18) @t444))))) % 1.01/1.27 (assume @p181 (forall (@list @t25 @t321) (= (_ (_ tptp.ord_less_eq_set_a @t25) @t322) (forall @t332 (=> @t446 @t445))))) % 1.01/1.27 (assume @p182 (forall @t78 (=> @t77 (=> (_ tptp.refine412683989fail_a @t74) (_ tptp.refine412683989fail_a @t76))))) % 1.01/1.27 (assume @p183 (forall @t453 (=> @t452 @t451))) % 1.01/1.27 (assume @p184 (forall @t460 (=> @t459 @t458))) % 1.01/1.27 (assume @p185 (forall (@list @t415 @t417) (=> (=> (_ tptp.refine412683989fail_a @t415) @t423) @t423))) % 1.01/1.27 (assume @p186 (forall (@list @t424 @t425) (=> (=> (_ tptp.refine579265252t_unit @t424) @t432) @t432))) % 1.01/1.27 (assume @p187 (forall (@list @t324 @t461) (=> (forall @t22 (=> (_ @t21 @t324) (_ @t21 @t461))) @t462))) % 1.01/1.27 (assume @p188 (forall @t467 (=> (forall @t30 (=> @t466 (_ @t28 @t463))) @t465))) % 1.01/1.27 (assume @p189 (forall @t467 (=> @t465 (=> @t470 @t468)))) % 1.01/1.27 (assume @p190 (forall (@list @t454 @t417 @t416) (=> @t475 (=> (forall @t30 (=> @t474 (=> @t473 (_ @t420 @t454)))) @t471)))) % 1.01/1.27 (assume @p191 (forall (@list @t447 @t417 @t398) (=> @t477 (=> (forall @t30 (=> @t474 (=> @t473 (_ @t439 @t447)))) @t476)))) % 1.01/1.27 (assume @p192 (forall (@list @t447 @t425 @t411) (=> @t482 (=> (forall @t22 (=> @t481 (=> @t480 (_ @t435 @t447)))) @t478)))) % 1.01/1.27 (assume @p193 (forall (@list @t454 @t425 @t404) (=> @t484 (=> (forall @t22 (=> @t481 (=> @t480 (_ @t429 @t454)))) @t483)))) % 1.01/1.27 (assume @p194 (forall (@list @t417 @t416 @t454) (= @t471 (and @t475 (forall @t332 (=> @t487 (_ (_ tptp.ord_le1051254044t_unit @t485) @t454))))))) % 1.01/1.27 (assume @p195 (forall (@list @t417 @t398 @t447) (= @t476 (and @t477 (forall @t332 (=> @t487 (_ (_ tptp.ord_le519537037nres_a @t488) @t447))))))) % 1.01/1.27 (assume @p196 (forall (@list @t425 @t411 @t447) (= @t478 (and @t482 (forall @t327 (=> @t491 (_ (_ tptp.ord_le519537037nres_a @t489) @t447))))))) % 1.01/1.27 (assume @p197 (forall (@list @t425 @t404 @t454) (= @t483 (and @t484 (forall @t327 (=> @t491 (_ (_ tptp.ord_le1051254044t_unit @t492) @t454))))))) % 1.01/1.27 (assume @p198 (forall (@list @t494 @t493) (=> @t495 @t495))) % 1.01/1.27 (assume @p199 (forall (@list @t324 @t461 @t53) (=> @t462 (=> (_ @t54 @t324) (_ @t54 @t461))))) % 1.01/1.27 (assume @p200 (forall (@list @t328 @t463 @t55) (=> @t465 (=> @t497 @t496)))) % 1.01/1.27 (assume @p201 (forall (@list @t324 @t461 @t498) (=> @t462 (=> (_ @t499 @t324) (_ @t499 @t461))))) % 1.01/1.27 (assume @p202 (forall (@list @t328 @t463 @t500) (=> @t465 (=> @t502 (_ @t501 @t463))))) % 1.01/1.27 (assume @p203 (forall @t66 (= (_ tptp.refine558004794t_unit @t4) (lambda @t327 (_ @t326 @t2))))) % 1.01/1.27 (assume @p204 (forall @t67 (= (_ tptp.refine1001002027nres_a @t9) (lambda @t332 (_ @t330 @t7))))) % 1.01/1.27 (assume @p205 (forall @t440 (= (_ tptp.refine1001002027nres_a @t70) (_ @t126 @t55)))) % 1.01/1.27 (assume @p206 (forall @t441 (= (_ tptp.refine558004794t_unit @t68) (_ @t122 @t53)))) % 1.01/1.27 (assume @p207 (forall (@list @t447 @t449 @t55) (=> @t452 (=> @t505 (_ @t503 @t55))))) % 1.01/1.27 (assume @p208 (forall (@list @t454 @t456 @t53) (=> @t459 (=> @t508 (_ @t506 @t53))))) % 1.01/1.27 (assume @p209 (forall @t453 (=> (= @t448 @t450) (=> (forall @t30 (= @t510 @t509)) (= @t447 @t449))))) % 1.01/1.27 (assume @p210 (forall @t460 (=> @t513 (=> (forall @t22 (= @t512 @t511)) (= @t454 @t456))))) % 1.01/1.27 (assume @p211 (= @t198 (lambda @t520 (and (= @t519 @t518) (forall @t332 (= @t517 @t515)))))) % 1.01/1.27 (assume @p212 (= @t190 (lambda @t527 (and (= @t526 @t525) (forall @t327 (= @t524 @t522)))))) % 1.01/1.27 (assume @p213 (forall (@list @t447 @t55) (=> (not @t448) @t505))) % 1.01/1.27 (assume @p214 (forall (@list @t454 @t53) (=> @t528 @t508))) % 1.01/1.27 (assume @p215 (forall @t530 (=> @t451 (=> (forall @t30 (=> @t450 @t529)) @t452)))) % 1.01/1.27 (assume @p216 (forall @t532 (=> @t458 (=> (forall @t22 (=> @t457 @t531)) @t459)))) % 1.01/1.27 (assume @p217 (forall @t530 (=> (=> @t450 (and @t448 (forall @t30 @t529))) @t452))) % 1.01/1.27 (assume @p218 (forall @t532 (=> (=> @t457 (and @t455 (forall @t22 @t531))) @t459))) % 1.01/1.27 (assume @p219 (forall (@list @t417 @t416) (= (_ tptp.refine579265252t_unit @t418) (and @t474 (forall @t332 (=> @t486 (_ tptp.refine579265252t_unit @t485))))))) % 1.01/1.27 (assume @p220 (forall (@list @t425 @t411) (= (_ tptp.refine412683989fail_a @t433) (and @t481 (forall @t327 (=> @t490 (_ tptp.refine412683989fail_a @t489))))))) % 1.01/1.27 (assume @p221 (forall (@list @t417 @t398) (= (_ tptp.refine412683989fail_a @t437) (and @t474 (forall @t332 (=> @t486 (_ tptp.refine412683989fail_a @t488))))))) % 1.01/1.27 (assume @p222 (forall (@list @t425 @t404) (= (_ tptp.refine579265252t_unit @t427) (and @t481 (forall @t327 (=> @t490 (_ tptp.refine579265252t_unit @t492))))))) % 1.01/1.27 (assume @p223 (= tptp.refine1001002027nres_a (lambda (@list @t516 @t329) (_ (_ tptp.ord_le519537037nres_a (_ tptp.refine2063221604TURN_a @t329)) @t516)))) % 1.01/1.27 (assume @p224 (= tptp.refine558004794t_unit (lambda (@list @t523 @t325) (_ (_ tptp.ord_le1051254044t_unit (_ tptp.refine1420258419t_unit @t325)) @t523)))) % 1.01/1.27 (assume @p225 (forall @t338 (= @t533 (forall @t327 (=> @t444 (_ @t334 @t325)))))) % 1.01/1.27 (assume @p226 (forall @t343 (= @t534 (forall @t332 (=> @t445 (_ @t339 @t329)))))) % 1.01/1.27 (assume @p227 (= @t174 (lambda @t537 (and (_ (_ tptp.ord_less_eq_set_a @t535) @t536) (_ (_ tptp.ord_less_eq_set_a @t536) @t535))))) % 1.01/1.27 (assume @p228 (forall (@list @t328 @t463 @t538) (=> @t465 (=> (_ @t469 @t538) (_ @t464 @t538))))) % 1.01/1.27 (assume @p229 (forall @t338 (=> (forall @t22 (=> @t337 @t336)) @t533))) % 1.01/1.27 (assume @p230 (forall @t343 (=> (forall @t30 (=> @t342 @t341)) @t534))) % 1.01/1.27 (assume @p231 (forall @t333 (_ @t464 @t328))) % 1.01/1.27 (assume @p232 (forall @t467 (=> @t468 @t470))) % 1.01/1.27 (assume @p233 (forall @t467 (=> @t468 @t465))) % 1.01/1.27 (assume @p234 (= tptp.ord_le1023748749t_unit (lambda @t541 (forall @t327 (=> (_ @t326 @t540) (_ @t326 @t539)))))) % 1.01/1.27 (assume @p235 (= tptp.ord_less_eq_set_a (lambda @t537 (forall @t332 (=> (_ @t330 @t535) (_ @t330 @t536)))))) % 1.01/1.27 (assume @p236 (forall (@list @t42 @t545 @t542) (=> (= @t560 @t542) (=> (=> @t559 (not @t542)) (=> (forall @t558 (=> @t557 (forall @t555 (=> @t554 (= @t542 @t552))))) (not (=> @t548 (=> (exists @t547 @t546) @t542)))))))) % 1.01/1.27 (assume @p237 (forall @t561 (=> @t560 (=> (not @t559) (not (forall @t558 (=> @t557 (forall @t555 (=> @t554 @t552))))))))) % 1.01/1.27 (assume @p238 (forall @t561 (=> (not @t560) (=> (forall @t558 (=> @t557 (forall @t555 (=> @t554 @t551)))) (not (=> @t548 (forall @t547 (not @t546)))))))) % 1.01/1.27 (assume @p239 (forall (@list @t7 @t102) (= (_ @t118 @t104) (_ @t117 (_ (_ tptp.insert_a @t102) tptp.bot_bot_set_a))))) % 1.01/1.27 (assume @p240 (forall (@list @t562) (not (_ (_ tptp.ord_le519537037nres_a tptp.refine464223677AILi_a) (_ tptp.refine1198353288_RES_a @t562))))) % 1.01/1.27 (assume @p241 (forall (@list @t500) (not (_ @t501 tptp.bot_bot_set_a)))) % 1.01/1.27 (assume @p242 (forall @t333 (= (forall @t332 (not @t331)) @t563))) % 1.01/1.27 (assume @p243 (forall @t566 (= @t565 @t564))) % 1.01/1.27 (assume @p244 (forall @t566 (= (= tptp.bot_bot_set_a @t322) @t564))) % 1.01/1.27 (assume @p245 (forall @t573 (=> (=> (not @t572) @t571) @t570))) % 1.01/1.27 (assume @p246 (forall @t576 (= @t575 (or @t571 @t574)))) % 1.01/1.27 (assume @p247 (forall @t579 (_ @t323 @t578))) % 1.01/1.27 (assume @p248 (forall @t582 (= (_ (_ tptp.ord_less_eq_set_a @t581) @t463) (and @t496 @t465)))) % 1.01/1.27 (assume @p249 (forall (@list @t55 @t7) (= (= @t70 @t9) (= @t583 @t7)))) % 1.01/1.27 (assume @p250 (forall @t57 (= (= @t9 @t70) (= @t7 @t583)))) % 1.01/1.27 (assume @p251 (forall @t579 (not (_ @t323 tptp.bot_bot_set_a)))) % 1.01/1.27 (assume @p252 (forall @t576 (=> @t575 (=> @t584 @t574)))) % 1.01/1.27 (assume @p253 (forall (@list @t328 @t320) (=> @t563 @t585))) % 1.01/1.27 (assume @p254 (forall @t333 (=> (forall (@list @t586) (not @t587)) @t563))) % 1.01/1.27 (assume @p255 (forall (@list @t320 @t463) (_ @t323 (_ @t577 @t463)))) % 1.01/1.27 (assume @p256 (forall @t573 (=> @t572 @t570))) % 1.01/1.27 (assume @p257 (forall @t333 (= (exists @t332 @t331) @t588))) % 1.01/1.27 (assume @p258 (forall (@list @t55 @t328) (=> @t497 (not (forall @t590 (=> (= @t328 (_ @t580 @t589)) (_ @t56 @t589))))))) % 1.01/1.27 (assume @p259 (forall @t594 (=> @t593 @t591))) % 1.01/1.27 (assume @p260 (forall @t582 (=> @t596 (=> (not @t496) (= (= @t581 @t595) @t468))))) % 1.01/1.27 (assume @p261 (forall @t598 (=> @t574 (= @t597 @t328)))) % 1.01/1.27 (assume @p262 (forall (@list @t320 @t328 @t567 @t463) (=> @t585 (=> (not (_ @t592 @t463)) (= (= @t597 @t569) (and (=> @t571 @t468) (=> @t584 (exists (@list @t599) (and (= @t328 (_ @t568 @t599)) (not (_ @t592 @t599)) (= @t463 (_ @t577 @t599)) (not (_ @t323 @t599))))))))))) % 1.01/1.27 (assume @p263 (forall @t594 (= @t593 @t591))) % 1.01/1.27 (assume @p264 (forall @t598 (=> @t574 (exists @t590 (and (= @t328 (_ @t577 @t589)) (not (_ @t323 @t589))))))) % 1.01/1.27 (assume @p265 (forall @t601 (=> @t600 (not (forall @t30 (not @t29)))))) % 1.01/1.27 (assume @p266 (forall (@list @t55 @t25) (=> (_ @t56 @t25) @t600))) % 1.01/1.27 (assume @p267 (forall @t207 (_ @t602 @t154))) % 1.01/1.27 (assume @p268 (forall @t208 (_ @t603 @t161))) % 1.01/1.27 (assume @p269 (forall @t207 (= @t605 @t604))) % 1.01/1.27 (assume @p270 (forall @t208 (= @t607 @t606))) % 1.01/1.27 (assume @p271 (forall @t207 (=> @t605 @t604))) % 1.01/1.27 (assume @p272 (forall @t208 (=> @t607 @t606))) % 1.01/1.27 (assume @p273 (forall @t582 (=> @t596 (= (_ @t464 @t595) @t465)))) % 1.01/1.27 (assume @p274 (forall (@list @t14) (not (= tptp.refine464223677AILi_a @t15)))) % 1.01/1.27 (assume @p275 (forall (@list @t377 @t608) (=> (_ @t377 tptp.refine464223677AILi_a) (=> (forall @t383 (_ @t377 (_ tptp.refine1198353288_RES_a @t276))) (_ @t377 @t608))))) % 1.01/1.27 (assume @p276 (forall (@list @t44) (=> (not (= @t44 tptp.refine464223677AILi_a)) (not (forall (@list @t609) (not (= @t44 (_ tptp.refine1198353288_RES_a @t609)))))))) % 1.01/1.27 (assume @p277 (forall @t620 (=> @t619 (=> (forall (@list @t616) (_ @t617 (_ tptp.refine1198353288_RES_a @t616))) @t615)))) % 1.01/1.27 (assume @p278 (forall @t620 (=> (forall (@list @t621) (_ @t617 @t621)) (=> (forall @t547 (_ (_ @t612 @t544) tptp.refine464223677AILi_a)) @t615)))) % 1.01/1.27 (assume @p279 (forall @t620 (=> @t619 (=> @t614 (=> (forall @t547 (_ @t617 @t544)) @t613))))) % 1.01/1.27 (assume @p280 (forall (@list @t622) (_ (_ tptp.ord_le519537037nres_a @t622) tptp.refine464223677AILi_a))) % 1.01/1.27 (assume @p281 (forall (@list @t55 @t328 @t7) (=> @t497 (=> (_ @t117 @t328) (_ (_ tptp.ord_less_eq_set_a (_ @t580 @t7)) @t328))))) % 1.01/1.27 (assume @p282 (forall @t333 (=> (forall @t30 (not @t466)) (_ @t464 tptp.bot_bot_set_a)))) % 1.01/1.27 (assume @p283 (forall @t443 (= (_ @t431 tptp.bot_bo658782032t_unit) (= @t425 tptp.bot_bo658782032t_unit)))) % 1.01/1.27 (assume @p284 (forall @t442 (= (_ @t422 tptp.bot_bo529555393nres_a) (= @t417 tptp.bot_bo529555393nres_a)))) % 1.01/1.27 (assume @p285 (_ tptp.refine579265252t_unit tptp.bot_bo658782032t_unit)) % 1.01/1.27 (assume @p286 (= (_ tptp.refine558004794t_unit tptp.bot_bo658782032t_unit) (lambda @t623 false))) % 1.01/1.27 (assume @p287 (forall (@list @t404) (= (_ (_ tptp.refine681446406t_unit tptp.bot_bo658782032t_unit) @t404) tptp.bot_bo658782032t_unit))) % 1.01/1.27 (assume @p288 (forall @t66 (= (= @t4 tptp.bot_bo658782032t_unit) @t624))) % 1.01/1.27 (assume @p289 (forall @t67 (= (= @t9 tptp.bot_bo529555393nres_a) @t625))) % 1.01/1.27 (assume @p290 (forall @t66 (= (= tptp.bot_bo658782032t_unit @t4) @t624))) % 1.01/1.27 (assume @p291 (forall @t67 (= (= tptp.bot_bo529555393nres_a @t9) @t625))) % 1.01/1.27 (assume @p292 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 1.01/1.27 (assume @p293 (forall @t443 (_ @t602 @t425))) % 1.01/1.27 (assume @p294 (forall @t442 (_ @t603 @t417))) % 1.01/1.27 (assume @p295 (forall @t441 (not (= tptp.bot_bo658782032t_unit @t68)))) % 1.01/1.27 (assume @p296 (= tptp.bot_bo658782032t_unit (_ tptp.refine1777164439t_unit tptp.bot_bo1087887705t_unit))) % 1.01/1.27 (assume @p297 (= tptp.bot_bo529555393nres_a (_ tptp.refine1198353288_RES_a tptp.bot_bot_set_a))) % 1.01/1.27 (assume @p298 (forall (@list @t16) (_ @t602 @t17))) % 1.01/1.27 (assume @p299 (forall (@list @t23) (_ @t603 @t24))) % 1.01/1.27 (assume @p300 (forall @t333 (=> @t588 (=> (forall (@list @t26 @t586) (=> @t466 (=> @t587 (= @t26 @t586)))) (_ tptp.is_singleton_a @t328))))) % 1.01/1.27 (assume @p301 (forall (@list @t328 @t567) (= (_ @t464 (_ tptp.uminus_uminus_set_a (_ @t568 tptp.bot_bot_set_a))) (not (_ @t592 @t328))))) % 1.01/1.27 (assume @p302 (forall @t628 (=> @t627 @t626))) % 1.01/1.27 (assume @p303 (forall @t566 (= @t565 (= @t321 tptp.bot_bot_a_o)))) % 1.01/1.27 (assume @p304 (forall @t631 (=> @t630 @t629))) % 1.01/1.27 (assume @p305 (forall @t631 (= @t629 @t630))) % 1.01/1.27 (assume @p306 (forall @t631 (=> @t629 @t630))) % 1.01/1.27 (assume @p307 (forall @t628 (=> @t626 @t627))) % 1.01/1.27 (assume @p308 (= (_ tptp.refine23983189ASSUME false) tptp.bot_bo658782032t_unit)) % 1.01/1.27 (assume @p309 (forall @t460 (= (_ (_ @t634 @t454) @t456) (=> (exists (@list @t633) (_ @t507 @t633)) (and @t513 @t632))))) % 1.01/1.27 (assume @p310 (forall (@list @t635 @t53) (= (_ (_ tptp.refine558004794t_unit @t636) @t53) @t635))) % 1.01/1.27 (assume @p311 (forall (@list @t635) (_ tptp.refine579265252t_unit @t636))) % 1.01/1.27 (assume @p312 (forall @t245 (=> (_ (_ @t634 @t35) @t37) @t39))) % 1.01/1.27 (assume @p313 (forall @t246 (=> (_ (_ (_ tptp.partia906949161nres_a tptp.bot_bo529555393nres_a) @t42) @t44) @t46))) % 1.01/1.27 (assume @p314 (forall @t460 (= (_ (_ (_ tptp.partia1658438072t_unit tptp.top_to177290092t_unit) @t454) @t456) (=> @t455 (and @t457 @t632))))) % 1.01/1.27 (assume @p315 (forall @t442 (= (_ @t638 @t417) @t637))) % 1.01/1.27 (assume @p316 (not (_ tptp.refine579265252t_unit tptp.top_to177290092t_unit))) % 1.01/1.27 (assume @p317 (= (_ tptp.refine558004794t_unit tptp.top_to177290092t_unit) (lambda @t623 true))) % 1.01/1.27 (assume @p318 (forall @t246 (=> (_ (_ (_ tptp.partia906949161nres_a tptp.top_to231829469nres_a) @t42) @t44) @t242))) % 1.01/1.27 (assume @p319 (forall @t208 (_ @t163 tptp.top_to231829469nres_a))) % 1.01/1.27 (assume @p320 (forall @t208 (= @t640 @t639))) % 1.01/1.27 (assume @p321 (forall @t208 (=> @t640 @t639))) % 1.01/1.27 (assume @p322 (forall (@list @t51 @t42) (=> (= @t51 tptp.top_to231829469nres_a) (_ @t43 @t51)))) % 1.01/1.27 (assume @p323 (forall @t641 (= @t528 (= @t454 tptp.top_to177290092t_unit)))) % 1.01/1.27 (assume @p324 (= tptp.refine579265252t_unit (lambda (@list @t523) (not (= @t523 tptp.top_to177290092t_unit))))) % 1.01/1.27 (assume @p325 (forall @t641 (= (not (= tptp.top_to177290092t_unit @t454)) @t455))) % 1.01/1.27 (assume @p326 (forall @t442 (_ @t422 tptp.top_to231829469nres_a))) % 1.01/1.27 (assume @p327 (forall @t67 (not (= tptp.top_to231829469nres_a @t9)))) % 1.01/1.27 (assume @p328 (forall @t442 (=> (not @t637) (not (forall (@list @t642) (not (= @t417 (_ tptp.refine1198353288_RES_a @t642)))))))) % 1.01/1.27 (assume @p329 (not (= tptp.bot_bo658782032t_unit tptp.top_to177290092t_unit))) % 1.01/1.27 (assume @p330 (not (= tptp.top_to177290092t_unit tptp.bot_bo658782032t_unit))) % 1.01/1.27 (assume @p331 (forall @t440 (_ @t56 tptp.top_top_set_a))) % 1.01/1.27 (assume @p332 (forall @t601 (= (= @t25 tptp.top_top_set_a) (forall @t332 @t446)))) % 1.01/1.27 (assume @p333 (forall @t243 (= (_ (_ (_ tptp.if_set_a false) @t62) @t210) @t210))) % 1.01/1.27 (assume @p334 (forall @t243 (= (_ (_ (_ tptp.if_set_a true) @t62) @t210) @t62))) % 1.01/1.27 (assume @p335 @t645) % 1.01/1.27 (assume @p336 @t647) % 1.01/1.27 (assume @p337 (forall @t244 (= (_ (_ (_ tptp.if_o_R1705037948nres_a false) @t64) @t214) @t214))) % 1.01/1.27 (assume @p338 (forall @t244 (= (_ (_ (_ tptp.if_o_R1705037948nres_a true) @t64) @t214) @t64))) % 1.01/1.27 (assume @p339 (forall (@list @t648) (or (= @t648 true) (= @t648 false)))) % 1.01/1.27 (assume @p340 (forall @t245 (= (_ (_ (_ tptp.if_Ref1369692790t_unit false) @t35) @t37) @t37))) % 1.01/1.27 (assume @p341 (forall @t245 (= (_ (_ (_ tptp.if_Ref1369692790t_unit true) @t35) @t37) @t35))) % 1.01/1.27 (assume @p342 @t651) % 1.01/1.27 (assume @p343 @t653) % 1.01/1.27 (assume @p344 @t656) % 1.01/1.27 (assume @p345 true) % 1.01/1.27 (step @p346 (= tptp.ord_le516598614nres_a @t660) :rule refl :args (@t660)) % 1.01/1.27 (step @p347 (= tptp.ord_less_eq_o_set_a @t663) :rule refl :args (@t663)) % 1.01/1.27 (step @p348 (= tptp.ord_le1960259811nres_a @t666) :rule refl :args (@t666)) % 1.01/1.27 (step @p349 (= tptp.ord_le1633311077t_unit @t669) :rule refl :args (@t669)) % 1.01/1.27 (step @p350 (= tptp.refine579265252t_unit @t672) :rule refl :args (@t672)) % 1.01/1.27 (step @p351 (= tptp.refine412683989fail_a @t680) :rule refl :args (@t680)) % 1.01/1.27 (step @p352 (= tptp.ord_le519537037nres_a @t684) :rule refl :args (@t684)) % 1.01/1.27 (step @p353 (= tptp.ord_le1051254044t_unit @t685) :rule refl :args (@t685)) % 1.01/1.27 (step @p354 (= tptp.refine983493746t_unit @t686) :rule refl :args (@t686)) % 1.01/1.27 (step @p355 (= tptp.refine1312857699nres_a @t687) :rule refl :args (@t687)) % 1.01/1.27 (step @p356 (= tptp.ord_le1023748749t_unit @t690) :rule refl :args (@t690)) % 1.01/1.27 (step @p357 (= tptp.ord_less_eq_set_a @t693) :rule refl :args (@t693)) % 1.01/1.27 (step @p358 (= tptp.refine2063221604TURN_a @t694) :rule refl :args (@t694)) % 1.01/1.27 (step @p359 (= tptp.refine459374679t_unit @t696) :rule refl :args (@t696)) % 1.01/1.27 (step @p360 (= tptp.bot_bot_a_o @t697) :rule refl :args (@t697)) % 1.01/1.27 (step @p361 :rule bool-eq-true :args (@t698)) % 1.01/1.27 (step @p362 :rule skolem_intro :args (@t698)) % 1.01/1.27 (step @p363 :rule eq_resolve :premises (@p362 @p361)) % 1.01/1.27 (step @p364 :rule refl :args (@t710)) % 1.01/1.27 (step @p365 :rule bool-double-not-elim :args (tptp.b)) % 1.01/1.27 (step @p366 :rule nary_cong :premises (@p365 @p364) :args ((or (not @t652) @t710))) % 1.01/1.27 (step @p367 :rule refl :args (@t329)) % 1.01/1.27 (step @p368 :rule refl :args ((tptp.refine1198353288_RES_a @t649))) % 1.01/1.27 (step @p369 :rule refl :args (@t699)) % 1.01/1.27 (step @p370 :rule cong :premises (@p369) :args (@t700)) % 1.01/1.27 (step @p371 :rule trans :premises (@p370 @p368)) % 1.01/1.27 (step @p372 :rule refl :args (tptp.refine1198353288_RES_a)) % 1.01/1.27 (step @p373 :rule ho_cong :premises (@p372 @p369)) % 1.01/1.27 (step @p374 :rule cong :premises (@p373 @p371) :args ((= (_ tptp.refine1198353288_RES_a @t699) @t700))) % 1.01/1.27 (step @p375 :rule symm :premises (@p374)) % 1.01/1.27 (step @p376 :rule refl :args (@t650)) % 1.01/1.27 (step @p377 :rule eq_resolve :premises (@p376 @p375)) % 1.01/1.27 (step @p378 :rule refl :args (@t649)) % 1.01/1.27 (step @p379 :rule cong :premises (@p378 @p369) :args ((= @t649 @t699))) % 1.01/1.27 (step @p380 :rule symm :premises (@p379)) % 1.01/1.27 (step @p381 :rule eq_resolve :premises (@p378 @p380)) % 1.01/1.27 (step @p382 :rule ho_cong :premises (@p372 @p381)) % 1.01/1.27 (step @p383 :rule trans :premises (@p382 @p377)) % 1.01/1.27 (step @p384 :rule cong :premises (@p383 @p367) :args (@t711)) % 1.01/1.27 (step @p385 :rule refl :args (@t702)) % 1.01/1.27 (step @p386 :rule nary_cong :premises (@p385 @p384) :args (@t712)) % 1.01/1.27 (step @p387 :rule cong :premises (@p386) :args (@t713)) % 1.01/1.27 (step @p388 :rule refl :args (@t706)) % 1.01/1.27 (step @p389 :rule nary_cong :premises (@p388 @p387) :args (@t714)) % 1.01/1.27 (step @p390 :rule refl :args (@t704)) % 1.01/1.27 (step @p391 :rule cong :premises (@p390 @p383) :args (@t715)) % 1.01/1.27 (step @p392 :rule cong :premises (@p391) :args (@t716)) % 1.01/1.27 (step @p393 :rule cong :premises (@p392) :args (@t717)) % 1.01/1.27 (step @p394 :rule cong :premises (@p393) :args (@t718)) % 1.01/1.27 (step @p395 :rule cong :premises (@p394 @p389) :args (@t719)) % 1.01/1.27 (step @p396 :rule beta-reduce :args ((= (_ (lambda @t723 (=> @t722 (and @t706 @t721))) @t650) @t719))) % 1.01/1.27 (step @p397 :rule trans :premises (@p396 @p395)) % 1.01/1.27 (step @p398 :rule refl :args (@t650)) % 1.01/1.27 (step @p399 :rule refl :args (@t721)) % 1.01/1.27 (step @p400 :rule eq-symm :args (@t704 tptp.s2)) % 1.01/1.27 (step @p401 :rule cong :premises (@p400) :args (@t724)) % 1.01/1.27 (step @p402 :rule cong :premises (@p401) :args (@t725)) % 1.01/1.27 (step @p403 :rule cong :premises (@p402) :args (@t726)) % 1.01/1.27 (step @p404 :rule nary_cong :premises (@p403 @p399) :args (@t727)) % 1.01/1.27 (step @p405 :rule refl :args (@t722)) % 1.01/1.27 (step @p406 :rule cong :premises (@p405 @p404) :args (@t728)) % 1.01/1.27 (step @p407 :rule cong :premises (@p406) :args (@t729)) % 1.01/1.27 (step @p408 :rule beta-reduce :args ((= @t732 @t729))) % 1.01/1.27 (step @p409 :rule trans :premises (@p408 @p407)) % 1.01/1.27 (step @p410 :rule ho_cong :premises (@p409 @p398)) % 1.01/1.27 (step @p411 :rule trans :premises (@p410 @p397)) % 1.01/1.27 (step @p412 :rule refl :args (@t652)) % 1.01/1.27 (step @p413 :rule cong :premises (@p412 @p411) :args ((=> @t652 (_ @t732 @t650)))) % 1.01/1.27 (step @p414 :rule refl :args (tptp.s2)) % 1.01/1.27 (step @p415 :rule refl :args (@t720)) % 1.01/1.27 (step @p416 :rule refl :args (@t515)) % 1.01/1.27 (step @p417 :rule cong :premises (@p416 @p415) :args ((= @t515 @t720))) % 1.01/1.27 (step @p418 :rule symm :premises (@p417)) % 1.01/1.27 (step @p419 :rule eq_resolve :premises (@p416 @p418)) % 1.01/1.27 (step @p420 :rule refl :args (@t730)) % 1.01/1.27 (step @p421 :rule refl :args (@t517)) % 1.01/1.27 (step @p422 :rule cong :premises (@p421 @p420) :args ((= @t517 @t730))) % 1.01/1.27 (step @p423 :rule symm :premises (@p422)) % 1.01/1.27 (step @p424 :rule eq_resolve :premises (@p421 @p423)) % 1.01/1.27 (step @p425 :rule cong :premises (@p424) :args (@t733)) % 1.01/1.27 (step @p426 :rule nary_cong :premises (@p425 @p419) :args (@t734)) % 1.01/1.27 (step @p427 :rule cong :premises (@p426) :args ((forall @t332 @t734))) % 1.01/1.27 (step @p428 :rule bool-impl-elim :args (@t517 @t515)) % 1.01/1.27 (step @p429 :rule cong :premises (@p428) :args (@t681)) % 1.01/1.27 (step @p430 :rule trans :premises (@p429 @p427)) % 1.01/1.27 (step @p431 :rule eq-symm :args (@t516 @t704)) % 1.01/1.27 (step @p432 :rule cong :premises (@p431) :args (@t735)) % 1.01/1.27 (step @p433 :rule cong :premises (@p432) :args (@t736)) % 1.01/1.27 (step @p434 :rule cong :premises (@p433) :args (@t737)) % 1.01/1.27 (step @p435 :rule beta-reduce :args ((= @t739 @t737))) % 1.01/1.27 (step @p436 :rule trans :premises (@p435 @p434)) % 1.01/1.27 (step @p437 :rule nary_cong :premises (@p436 @p430) :args (@t740)) % 1.01/1.27 (step @p438 :rule eq-symm :args (@t514 @t704)) % 1.01/1.27 (step @p439 :rule cong :premises (@p438) :args (@t741)) % 1.01/1.27 (step @p440 :rule cong :premises (@p439) :args (@t742)) % 1.01/1.27 (step @p441 :rule cong :premises (@p440) :args (@t743)) % 1.01/1.27 (step @p442 :rule beta-reduce :args ((= @t744 @t743))) % 1.01/1.27 (step @p443 :rule trans :premises (@p442 @p441)) % 1.01/1.27 (step @p444 :rule cong :premises (@p443 @p437) :args ((=> @t744 @t740))) % 1.01/1.27 (step @p445 :rule refl :args (@t681)) % 1.01/1.27 (step @p446 :rule refl :args (@t516)) % 1.01/1.27 (step @p447 :rule refl :args (@t704)) % 1.01/1.27 (step @p448 :rule refl :args (@t674)) % 1.01/1.27 (step @p449 :rule cong :premises (@p448 @p447) :args ((= @t674 @t704))) % 1.01/1.27 (step @p450 :rule symm :premises (@p449)) % 1.01/1.27 (step @p451 :rule eq_resolve :premises (@p448 @p450)) % 1.01/1.27 (step @p452 :rule refl :args (@t675)) % 1.01/1.27 (step @p453 :rule cong :premises (@p452 @p451) :args (@t676)) % 1.01/1.27 (step @p454 :rule cong :premises (@p453) :args (@t745)) % 1.01/1.27 (step @p455 :rule cong :premises (@p454) :args (@t746)) % 1.01/1.27 (step @p456 :rule cong :premises (@p455) :args (@t747)) % 1.01/1.27 (step @p457 :rule exists-elim :args ((= @t678 @t747))) % 1.01/1.27 (step @p458 :rule trans :premises (@p457 @p456)) % 1.01/1.27 (step @p459 :rule cong :premises (@p458) :args (@t680)) % 1.01/1.27 (step @p460 :rule trans :premises (@p351 @p459)) % 1.01/1.27 (step @p461 :rule ho_cong :premises (@p460 @p446)) % 1.01/1.27 (step @p462 :rule nary_cong :premises (@p461 @p445) :args (@t682)) % 1.01/1.27 (step @p463 :rule refl :args (@t514)) % 1.01/1.27 (step @p464 :rule ho_cong :premises (@p460 @p463)) % 1.01/1.27 (step @p465 :rule cong :premises (@p464 @p462) :args (@t683)) % 1.01/1.27 (step @p466 :rule trans :premises (@p465 @p444)) % 1.01/1.27 (step @p467 :rule cong :premises (@p466) :args (@t684)) % 1.01/1.27 (step @p468 :rule trans :premises (@p352 @p467)) % 1.01/1.27 (step @p469 :rule ho_cong :premises (@p468 @p414)) % 1.01/1.27 (step @p470 :rule ho_cong :premises (@p469 @p398)) % 1.01/1.27 (step @p471 :rule cong :premises (@p412 @p470) :args (@t653)) % 1.01/1.27 (step @p472 :rule trans :premises (@p471 @p413)) % 1.01/1.27 (step @p473 :rule eq_resolve :premises (@p343 @p472)) % 1.01/1.27 (step @p474 :rule implies_elim :premises (@p473)) % 1.01/1.27 (step @p475 :rule eq_resolve :premises (@p474 @p366)) % 1.01/1.27 (step @p476 :rule skolem_intro :args (@t748)) % 1.01/1.27 (step @p477 :rule symm :premises (@p476)) % 1.01/1.27 (step @p478 :rule equiv_elim2 :premises (@p477)) % 1.01/1.27 (step @p479 :rule refl :args (@t750)) % 1.01/1.27 (step @p480 :rule nary_cong :premises (@p479 @p384) :args (@t751)) % 1.01/1.27 (step @p481 :rule cong :premises (@p480) :args (@t752)) % 1.01/1.27 (step @p482 :rule refl :args (@t754)) % 1.01/1.27 (step @p483 :rule nary_cong :premises (@p482 @p481) :args (@t755)) % 1.01/1.27 (step @p484 :rule cong :premises (@p394 @p483) :args (@t756)) % 1.01/1.27 (step @p485 :rule beta-reduce :args ((= (_ (lambda @t723 (=> @t722 (and @t754 (forall @t332 (or @t750 @t720))))) @t650) @t756))) % 1.01/1.27 (step @p486 :rule trans :premises (@p485 @p484)) % 1.01/1.27 (step @p487 :rule refl :args (@t720)) % 1.01/1.27 (step @p488 :rule refl :args (@t749)) % 1.01/1.27 (step @p489 :rule refl :args (@t655)) % 1.01/1.27 (step @p490 :rule cong :premises (@p489 @p488) :args ((= @t655 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(step @p505 :rule trans :premises (@p504 @p503)) % 1.01/1.27 (step @p506 :rule ho_cong :premises (@p505 @p398)) % 1.01/1.27 (step @p507 :rule trans :premises (@p506 @p486)) % 1.01/1.27 (step @p508 :rule cong :premises (@p507) :args ((not (_ @t768 @t650)))) % 1.01/1.27 (step @p509 :rule refl :args (@t655)) % 1.01/1.27 (step @p510 :rule ho_cong :premises (@p468 @p509)) % 1.01/1.27 (step @p511 :rule ho_cong :premises (@p510 @p398)) % 1.01/1.27 (step @p512 :rule cong :premises (@p511) :args (@t656)) % 1.01/1.27 (step @p513 :rule trans :premises (@p512 @p508)) % 1.01/1.27 (step @p514 :rule eq_resolve :premises (@p344 @p513)) % 1.01/1.27 (step @p515 :rule not_implies_elim1 :premises (@p514)) % 1.01/1.27 (step @p516 :rule refl :args (@t707)) % 1.01/1.27 (step @p517 :rule bool-double-not-elim :args (@t708)) % 1.01/1.27 (step @p518 :rule refl :args (@t769)) % 1.01/1.27 (step @p519 :rule nary_cong :premises (@p518 @p517 @p516) :args ((or @t769 @t770 @t707))) % 1.01/1.27 (step @p520 :rule cnf_implies_pos :args (@t710)) % 1.01/1.27 (step @p521 :rule eq_resolve :premises (@p520 @p519)) % 1.01/1.27 (step @p522 :rule reordering :premises (@p521) :args ((or @t708 @t707 @t769))) % 1.01/1.27 (step @p523 :rule cnf_and_pos :args (@t707 0)) % 1.01/1.27 (step @p524 :rule reordering :premises (@p523) :args ((or @t706 @t771))) % 1.01/1.27 (step @p525 :rule cnf_and_pos :args (@t707 1)) % 1.01/1.27 (step @p526 :rule reordering :premises (@p525) :args ((or @t703 @t771))) % 1.01/1.27 (step @p527 :rule refl :args (@t774)) % 1.01/1.27 (step @p528 :rule bool-double-not-elim :args (@t705)) % 1.01/1.27 (step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or (not @t706) @t774))) % 1.01/1.27 (step @p530 :rule bool-double-not-elim :args (@t774)) % 1.01/1.27 (step @p531 :rule cong :premises (@p388 @p530) :args ((=> @t706 @t776))) % 1.01/1.27 (assume-push @p985 @t706) % 1.01/1.27 (step @p533 :rule skolemize :premises (@p985)) % 1.01/1.27 (step-pop @p986 :rule scope :premises (@p533)) % 1.01/1.27 (step @p534 :rule process_scope :premises (@p986) :args (@t776)) % 1.01/1.27 (step @p536 :rule eq_resolve :premises (@p534 @p531)) % 1.01/1.27 (step @p537 :rule implies_elim :premises (@p536)) % 1.01/1.27 (step @p538 :rule eq_resolve :premises (@p537 @p529)) % 1.01/1.27 (assume-push @p987 @t703) % 1.01/1.27 (step @p540 :rule instantiate :premises (@p987) :args (@t779)) % 1.01/1.27 (step-pop @p988 :rule scope :premises (@p540)) % 1.01/1.27 (step @p541 :rule process_scope :premises (@p988) :args (@t783)) % 1.01/1.27 (step @p543 :rule implies_elim :premises (@p541)) % 1.01/1.27 (step @p544 :rule bool-eq-false :args (@t784)) % 1.01/1.27 (step @p545 :rule skolem_intro :args (@t784)) % 1.01/1.27 (step @p546 :rule eq_resolve :premises (@p545 @p544)) % 1.01/1.27 (step @p547 :rule refl :args (@t787)) % 1.01/1.27 (step @p548 :rule refl :args (@t788)) % 1.01/1.27 (step @p549 :rule refl :args (@t789)) % 1.01/1.27 (step @p550 :rule cong :premises (@p549 @p548) :args ((= @t789 @t788))) % 1.01/1.27 (step @p551 :rule symm :premises (@p550)) % 1.01/1.27 (step @p552 :rule eq_resolve :premises (@p549 @p551)) % 1.01/1.27 (step @p553 :rule cong :premises (@p552 @p547) :args (@t790)) % 1.01/1.27 (step @p554 :rule refl :args (@t791)) % 1.01/1.27 (step @p555 :rule nary_cong :premises (@p554 @p553) :args (@t792)) % 1.01/1.27 (step @p556 :rule eq-symm :args (@t787 @t789)) % 1.01/1.27 (step @p557 :rule eq-symm :args (@t786 @t785)) % 1.01/1.27 (step @p558 :rule nary_cong :premises (@p557 @p556) :args ((and (= @t786 @t785) (= @t787 @t789)))) % 1.01/1.27 (step @p559 :rule trans :premises (@p558 @p555)) % 1.01/1.27 (step @p560 :rule evaluate :args ((and true true))) % 1.01/1.27 (step @p561 :rule eq-refl :args (@t655)) % 1.01/1.27 (step @p562 :rule refl :args (@t793)) % 1.01/1.27 (step @p563 :rule cong :premises (@p509 @p562) :args (@t794)) % 1.01/1.27 (step @p564 :rule trans :premises (@p563 @p561)) % 1.01/1.27 (step @p565 :rule eq-refl :args (@t654)) % 1.01/1.27 (step @p566 :rule 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@p1055 :rule scope :premises (@p1054)) % 1.01/1.27 (step-pop @p1056 :rule scope :premises (@p1055)) % 1.01/1.27 (step-pop @p1057 :rule scope :premises (@p1056)) % 1.01/1.27 (step-pop @p1058 :rule scope :premises (@p1057)) % 1.01/1.27 (step @p800 :rule process_scope :premises (@p1058) :args (@t781)) % 1.01/1.27 (step @p809 :rule implies_elim :premises (@p800)) % 1.01/1.27 (step @p810 :rule cnf_and_neg :args (@t839)) % 1.01/1.27 (step @p811 :rule resolution :premises (@p810 @p809) :args (true @t839)) % 1.01/1.27 (step @p812 :rule eq_resolve :premises (@p811 @p761)) % 1.01/1.27 (step @p813 :rule chain_m_resolution :premises (@p812 @p648 @p647 @p613 @p583 @p582 @p546 @p758 @p756 @p755 @p749 @p732 @p726 @p708 @p648 @p647 @p613 @p583 @p582 @p546 @p543 @p538 @p526 @p524 @p522 @p515 @p478 @p475) :args (tptp.b (@list false false false false false true true true false true true true false false false false false false true false false false true false true true false) (@list @t816 @t810 @t803 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@p823)) % 1.01/1.27 (step @p827 :rule eq_resolve :premises (@p336 @p826)) % 1.01/1.27 (step @p828 :rule symm :premises (@p362)) % 1.01/1.27 (step @p829 :rule cong :premises (@p828 @p568 @p414) :args (@t843)) % 1.01/1.27 (step @p830 :rule cong :premises (@p568 @p829) :args (@t844)) % 1.01/1.27 (step @p831 :rule refl :args (@t845)) % 1.01/1.27 (step @p832 :rule cong :premises (@p831 @p830) :args ((=> @t845 @t844))) % 1.01/1.27 (assume-push @p1059 @t845) % 1.01/1.27 (step @p834 :rule instantiate :premises (@p827) :args (@t801)) % 1.01/1.27 (step-pop @p1060 :rule scope :premises (@p834)) % 1.01/1.27 (step @p835 :rule process_scope :premises (@p1060) :args (@t844)) % 1.01/1.27 (step @p837 :rule eq_resolve :premises (@p835 @p832)) % 1.01/1.27 (step @p838 :rule implies_elim :premises (@p837)) % 1.01/1.27 (step @p839 :rule chain_m_resolution :premises (@p838 @p827) :args (@t847 @t804 (@list @t845))) % 1.01/1.27 (step @p840 :rule refl :args (@t848)) % 1.01/1.27 (step @p841 :rule nary_cong :premises (@p840 @p384) :args (@t849)) % 1.01/1.27 (step @p842 :rule cong :premises (@p841) :args (@t850)) % 1.01/1.27 (step @p843 :rule refl :args (@t852)) % 1.01/1.27 (step @p844 :rule nary_cong :premises (@p843 @p842) :args (@t853)) % 1.01/1.27 (step @p845 :rule cong :premises (@p394 @p844) :args (@t854)) % 1.01/1.27 (step @p846 :rule beta-reduce :args ((= (_ (lambda @t723 (=> @t722 (and @t852 @t855))) @t650) @t854))) % 1.01/1.27 (step @p847 :rule trans :premises (@p846 @p845)) % 1.01/1.27 (step @p848 :rule refl :args (@t855)) % 1.01/1.27 (step @p849 :rule eq-symm :args (@t704 tptp.s1)) % 1.01/1.27 (step @p850 :rule cong :premises (@p849) :args (@t856)) % 1.01/1.27 (step @p851 :rule cong :premises (@p850) :args (@t857)) % 1.01/1.27 (step @p852 :rule cong :premises (@p851) :args (@t858)) % 1.01/1.27 (step @p853 :rule nary_cong :premises (@p852 @p848) :args (@t859)) % 1.01/1.27 (step @p854 :rule cong :premises (@p405 @p853) :args (@t860)) % 1.01/1.27 (step @p855 :rule cong :premises (@p854) :args (@t861)) % 1.01/1.27 (step @p856 :rule beta-reduce :args ((= @t862 @t861))) % 1.01/1.27 (step @p857 :rule trans :premises (@p856 @p855)) % 1.01/1.27 (step @p858 :rule ho_cong :premises (@p857 @p398)) % 1.01/1.27 (step @p859 :rule trans :premises (@p858 @p847)) % 1.01/1.27 (step @p860 :rule refl :args (tptp.b)) % 1.01/1.27 (step @p861 :rule cong :premises (@p860 @p859) :args ((=> tptp.b (_ @t862 @t650)))) % 1.01/1.27 (step @p862 :rule ho_cong :premises (@p468 @p568)) % 1.01/1.27 (step @p863 :rule ho_cong :premises (@p862 @p398)) % 1.01/1.27 (step @p864 :rule cong :premises (@p860 @p863) :args (@t651)) % 1.01/1.27 (step @p865 :rule trans :premises (@p864 @p861)) % 1.01/1.27 (step @p866 :rule eq_resolve :premises (@p342 @p865)) % 1.01/1.27 (step @p867 :rule implies_elim :premises (@p866)) % 1.01/1.27 (step @p868 :rule chain_m_resolution :premises (@p867 @p813) :args (@t865 @t804 @t840)) % 1.01/1.27 (step @p869 :rule refl :args (@t864)) % 1.01/1.27 (step @p870 :rule refl :args (@t866)) % 1.01/1.27 (step @p871 :rule nary_cong :premises (@p870 @p517 @p869) :args ((or @t866 @t770 @t864))) % 1.01/1.27 (step @p872 :rule cnf_implies_pos :args (@t865)) % 1.01/1.27 (step @p873 :rule eq_resolve :premises (@p872 @p871)) % 1.01/1.27 (step @p874 :rule reordering :premises (@p873) :args ((or @t708 @t864 @t866))) % 1.01/1.27 (step @p875 :rule chain_m_resolution :premises (@p874 @p515 @p868) :args (@t864 @t867 (@list @t708 @t865))) % 1.01/1.27 (step @p876 :rule cnf_and_pos :args (@t864 0)) % 1.01/1.27 (step @p877 :rule reordering :premises (@p876) :args ((or @t852 @t868))) % 1.01/1.27 (step @p878 :rule chain_m_resolution :premises (@p877 @p875) :args (@t852 @t804 @t869)) % 1.01/1.27 (step @p879 :rule refl :args (@t872)) % 1.01/1.27 (step @p880 :rule bool-double-not-elim :args (@t851)) % 1.01/1.27 (step @p881 :rule nary_cong :premises (@p880 @p879) :args ((or (not @t852) @t872))) % 1.01/1.27 (step @p882 :rule bool-double-not-elim :args (@t872)) % 1.01/1.27 (step @p883 :rule cong :premises (@p843 @p882) :args ((=> @t852 @t873))) % 1.01/1.27 (assume-push @p1061 @t852) % 1.01/1.27 (step @p885 :rule skolemize :premises (@p1061)) % 1.01/1.27 (step-pop @p1062 :rule scope :premises (@p885)) % 1.01/1.27 (step @p886 :rule process_scope :premises (@p1062) :args (@t873)) % 1.01/1.27 (step @p888 :rule eq_resolve :premises (@p886 @p883)) % 1.01/1.27 (step @p889 :rule implies_elim :premises (@p888)) % 1.01/1.27 (step @p890 :rule eq_resolve :premises (@p889 @p881)) % 1.01/1.27 (step @p891 :rule chain_m_resolution :premises (@p890 @p878) :args (@t872 @t874 (@list @t851))) % 1.01/1.27 (assume-push @p1063 @t698) % 1.01/1.27 (assume-push @p1064 @t748) % 1.01/1.27 (assume-push @p1065 @t872) % 1.01/1.27 (assume-push @p1066 @t847) % 1.01/1.27 (assume-push @p1067 @t872) % 1.01/1.27 (assume-push @p1068 @t847) % 1.01/1.27 (assume-push @p1069 @t698) % 1.01/1.27 (assume-push @p1070 @t748) % 1.01/1.27 (step @p900 :rule symm :premises (@p839)) % 1.01/1.27 (step @p901 :rule true_intro :premises (@p1064)) % 1.01/1.27 (step @p902 :rule trans :premises (@p901 @p828)) % 1.01/1.27 (step @p903 :rule cong :premises (@p902 @p568 @p414) :args (@t788)) % 1.01/1.27 (step @p904 :rule trans :premises (@p903 @p900 @p1065)) % 1.01/1.27 (step-pop @p1071 :rule scope :premises (@p904)) % 1.01/1.27 (step-pop @p1072 :rule scope :premises (@p1071)) % 1.01/1.27 (step-pop @p1073 :rule scope :premises (@p1072)) % 1.01/1.27 (step-pop @p1074 :rule scope :premises (@p1073)) % 1.01/1.27 (step @p905 :rule process_scope :premises (@p1074) :args (@t875)) % 1.01/1.27 (step @p910 :rule and_intro :premises (@p1065 @p839 @p363 @p1064)) % 1.01/1.27 (step @p911 :rule modus_ponens :premises (@p910 @p905)) % 1.01/1.27 (step-pop @p1075 :rule scope :premises (@p911)) % 1.01/1.27 (step-pop @p1076 :rule scope :premises (@p1075)) % 1.01/1.27 (step-pop @p1077 :rule scope :premises (@p1076)) % 1.01/1.27 (step-pop @p1078 :rule scope :premises (@p1077)) % 1.01/1.27 (step @p912 :rule process_scope :premises (@p1078) :args (@t875)) % 1.01/1.27 (step @p917 :rule implies_elim :premises (@p912)) % 1.01/1.27 (step @p918 :rule cnf_and_neg :args (@t876)) % 1.01/1.27 (step @p919 :rule resolution :premises (@p918 @p917) :args (true @t876)) % 1.01/1.27 (step @p920 :rule chain_m_resolution :premises (@p919 @p363 @p815 @p891 @p839) :args (@t875 (@list false false false false) (@list @t698 @t748 @t872 @t847))) % 1.01/1.27 (step @p921 :rule refl :args (@t871)) % 1.01/1.27 (step @p922 :rule cong :premises (@p711 @p921) :args (@t877)) % 1.01/1.27 (step @p923 :rule cong :premises (@p922) :args (@t878)) % 1.01/1.27 (step @p924 :rule cong :premises (@p715 @p923) :args ((=> @t753 @t878))) % 1.01/1.27 (step @p925 :rule eq-symm :args (@t871 @t749)) % 1.01/1.27 (step @p926 :rule cong :premises (@p925) :args (@t879)) % 1.01/1.27 (step @p927 :rule cong :premises (@p715 @p926) :args ((=> @t753 @t879))) % 1.01/1.27 (assume-push @p1079 @t753) % 1.01/1.27 (step @p929 :rule instantiate :premises (@p1079) :args ((@list @t870))) % 1.01/1.27 (step-pop @p1080 :rule scope :premises (@p929)) % 1.01/1.27 (step @p930 :rule process_scope :premises (@p1080) :args (@t879)) % 1.01/1.27 (step @p932 :rule eq_resolve :premises (@p930 @p927)) % 1.01/1.27 (step @p933 :rule eq_resolve :premises (@p932 @p924)) % 1.01/1.27 (step @p934 :rule implies_elim :premises (@p933)) % 1.01/1.27 (step @p935 :rule chain_m_resolution :premises (@p934 @p920) :args (@t754 @t804 (@list @t875))) % 1.01/1.27 (step @p936 :rule chain_m_resolution :premises (@p732 @p935) :args (@t830 @t874 (@list @t753))) % 1.01/1.27 (step @p937 :rule chain_m_resolution :premises (@p749 @p936) :args (@t834 @t874 (@list @t777))) % 1.01/1.27 (step @p938 :rule chain_m_resolution :premises (@p755 @p937) :args (@t831 @t874 @t880)) % 1.01/1.27 (step @p939 :rule cnf_and_pos :args (@t864 1)) % 1.01/1.27 (step @p940 :rule reordering :premises (@p939) :args ((or @t863 @t868))) % 1.01/1.27 (step @p941 :rule chain_m_resolution :premises (@p940 @p875) :args (@t863 @t804 @t869)) % 1.01/1.27 (assume-push @p1081 @t863) % 1.01/1.27 (step @p943 :rule instantiate :premises (@p1081) :args (@t779)) % 1.01/1.27 (step-pop @p1082 :rule scope :premises (@p943)) % 1.01/1.27 (step @p944 :rule process_scope :premises (@p1082) :args (@t883)) % 1.01/1.27 (step @p946 :rule implies_elim :premises (@p944)) % 1.01/1.27 (step @p947 :rule chain_m_resolution :premises (@p946 @p941) :args (@t883 @t804 (@list @t863))) % 1.01/1.27 (step @p948 :rule chain_m_resolution :premises (@p756 @p937) :args ((not @t780) @t874 @t880)) % 1.01/1.27 (step @p949 :rule cnf_or_pos :args (@t883)) % 1.01/1.27 (step @p950 :rule reordering :premises (@p949) :args ((or @t780 @t882 (not @t883)))) % 1.01/1.27 (step @p951 :rule chain_m_resolution :premises (@p950 @p948 @p947) :args (@t882 @t867 (@list @t780 @t883))) % 1.01/1.27 (assume-push @p1083 @t698) % 1.01/1.27 (assume-push @p1084 @t748) % 1.01/1.27 (assume-push @p1085 @t831) % 1.01/1.27 (assume-push @p1086 @t847) % 1.01/1.27 (assume-push @p1087 @t831) % 1.01/1.27 (assume-push @p1088 @t748) % 1.01/1.27 (assume-push @p1089 @t698) % 1.01/1.27 (assume-push @p1090 @t847) % 1.01/1.27 (step @p960 :rule true_intro :premises (@p1085)) % 1.01/1.27 (step @p961 :rule true_intro :premises (@p1084)) % 1.01/1.27 (step @p962 :rule symm :premises (@p961)) % 1.01/1.27 (step @p963 :rule trans :premises (@p362 @p962)) % 1.01/1.27 (step @p964 :rule cong :premises (@p963 @p568 @p414) :args (@t846)) % 1.01/1.27 (step @p965 :rule trans :premises (@p839 @p964)) % 1.01/1.27 (step @p966 :rule cong :premises (@p965 @p737) :args (@t881)) % 1.01/1.27 (step @p967 :rule trans :premises (@p966 @p960)) % 1.01/1.27 (step @p968 :rule true_elim :premises (@p967)) % 1.01/1.27 (step-pop @p1091 :rule scope :premises (@p968)) % 1.01/1.27 (step-pop @p1092 :rule scope :premises (@p1091)) % 1.01/1.27 (step-pop @p1093 :rule scope :premises (@p1092)) % 1.01/1.27 (step-pop @p1094 :rule scope :premises (@p1093)) % 1.01/1.27 (step @p969 :rule process_scope :premises (@p1094) :args (@t881)) % 1.01/1.27 (step @p974 :rule and_intro :premises (@p1085 @p1084 @p363 @p839)) % 1.01/1.27 (step @p975 :rule modus_ponens :premises (@p974 @p969)) % 1.01/1.27 (step-pop @p1095 :rule scope :premises (@p975)) % 1.01/1.27 (step-pop @p1096 :rule scope :premises (@p1095)) % 1.01/1.27 (step-pop @p1097 :rule scope :premises (@p1096)) % 1.01/1.27 (step-pop @p1098 :rule scope :premises (@p1097)) % 1.01/1.27 (step @p976 :rule process_scope :premises (@p1098) :args (@t881)) % 1.01/1.27 (step @p981 :rule implies_elim :premises (@p976)) % 1.01/1.27 (step @p982 :rule cnf_and_neg :args (@t884)) % 1.01/1.27 (step @p983 :rule resolution :premises (@p982 @p981) :args (true @t884)) % 1.01/1.27 (step @p984 false :rule chain_m_resolution :premises (@p983 @p951 @p938 @p839 @p815 @p363) :args (false (@list true false false false false) (@list @t881 @t831 @t847 @t748 @t698))) % 1.01/1.27 ) % 1.01/1.27 % SZS output end Proof % 1.01/1.27 % cvc5 exiting %------------------------------------------------------------------------------