%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP030^1 : 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 : n025.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 08:24:50 AM UTC 2026 % Result : Theorem 0.44s 0.72s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP030^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:11:01 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.60 %----Proving TH0 % 0.44/0.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.72 % SZS status Theorem % 0.44/0.72 % SZS output start Proof % 0.44/0.72 ( % 0.44/0.72 (declare-sort tptp.a 0) % 0.44/0.72 (declare-sort tptp.option_a 0) % 0.44/0.72 (declare-sort tptp.set_option_a 0) % 0.44/0.72 (declare-sort tptp.set_a 0) % 0.44/0.72 (declare-sort tptp.binary1176601351tion_a 0) % 0.44/0.72 (declare-sort tptp.option_option_a 0) % 0.44/0.72 (declare-sort tptp.set_option_option_a 0) % 0.44/0.72 (declare-sort tptp.int 0) % 0.44/0.72 (declare-sort tptp.binary1439146945Tree_a 0) % 0.44/0.72 (declare-const tptp.binary1117200954tion_a (-> tptp.binary1176601351tion_a tptp.set_option_a)) % 0.44/0.72 (declare-const tptp.member_option_a (-> tptp.option_a tptp.set_option_a Bool)) % 0.44/0.72 (declare-const tptp.binary995005080tion_a (-> (-> tptp.option_a tptp.int) tptp.binary1176601351tion_a Bool)) % 0.44/0.72 (declare-const tptp.binary945792244etOf_a (-> tptp.binary1439146945Tree_a tptp.set_a)) % 0.44/0.72 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 0.44/0.72 (declare-const tptp.binary1721989714Tree_a (-> (-> tptp.a tptp.int) tptp.binary1439146945Tree_a Bool)) % 0.44/0.72 (declare-const tptp.binary779405791okup_a (-> (-> tptp.a tptp.int) tptp.int tptp.binary1439146945Tree_a tptp.option_a)) % 0.44/0.72 (declare-const tptp.the_a2 (-> tptp.option_a tptp.a)) % 0.44/0.72 (declare-const tptp.none_a tptp.option_a) % 0.44/0.72 (declare-const tptp.bot_bot_o Bool) % 0.44/0.72 (declare-const tptp.bot_bot_set_a tptp.set_a) % 0.44/0.72 (declare-const tptp.bot_bot_set_option_a tptp.set_option_a) % 0.44/0.72 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 0.44/0.72 (declare-const tptp.collect_option_a (-> (-> tptp.option_a Bool) tptp.set_option_a)) % 0.44/0.72 (declare-const tptp.ord_less_option_a_o (-> (-> tptp.option_a Bool) (-> tptp.option_a Bool) Bool)) % 0.44/0.72 (declare-const tptp.ord_less_a_o (-> (-> tptp.a Bool) (-> tptp.a Bool) Bool)) % 0.44/0.72 (declare-const tptp.the_a (-> (-> tptp.a Bool) tptp.a)) % 0.44/0.72 (declare-const tptp.the_option_a (-> (-> tptp.option_a Bool) tptp.option_a)) % 0.44/0.72 (declare-const tptp.image_option_a_a (-> (-> tptp.option_a tptp.a) tptp.set_option_a tptp.set_a)) % 0.44/0.72 (declare-const tptp.top_top_set_a tptp.set_a) % 0.44/0.72 (declare-const tptp.image_139503237tion_a (-> (-> tptp.option_a tptp.option_a) tptp.set_option_a tptp.set_option_a)) % 0.44/0.72 (declare-const tptp.image_a_option_a (-> (-> tptp.a tptp.option_a) tptp.set_a tptp.set_option_a)) % 0.44/0.72 (declare-const tptp.sup_sup_set_option_a (-> tptp.set_option_a tptp.set_option_a tptp.set_option_a)) % 0.44/0.72 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.44/0.72 (declare-const tptp.some_option_a (-> tptp.option_a tptp.option_option_a)) % 0.44/0.72 (declare-const tptp.binary1040190117tion_a (-> (-> tptp.option_a tptp.int) tptp.int tptp.binary1176601351tion_a tptp.option_option_a)) % 0.44/0.72 (declare-const tptp.none_option_a tptp.option_option_a) % 0.44/0.72 (declare-const tptp.x tptp.a) % 0.44/0.72 (declare-const tptp.binary717961607le_T_a (-> tptp.binary1439146945Tree_a tptp.a tptp.binary1439146945Tree_a tptp.binary1439146945Tree_a)) % 0.44/0.72 (declare-const tptp.binary471442758tion_a tptp.binary1176601351tion_a) % 0.44/0.72 (declare-const tptp.t tptp.binary1439146945Tree_a) % 0.44/0.72 (declare-const tptp.set_option_option_a2 (-> tptp.option_option_a tptp.set_option_a)) % 0.44/0.72 (declare-const tptp.member553679923tion_a (-> tptp.option_option_a tptp.set_option_option_a Bool)) % 0.44/0.72 (declare-const tptp.set_option_a2 (-> tptp.option_a tptp.set_a)) % 0.44/0.72 (declare-const tptp.binary1007279693tion_a (-> tptp.binary1176601351tion_a tptp.option_a tptp.binary1176601351tion_a tptp.binary1176601351tion_a)) % 0.44/0.72 (declare-const tptp.h (-> tptp.a tptp.int)) % 0.44/0.72 (declare-const tptp.the_option_a2 (-> tptp.option_option_a tptp.option_a)) % 0.44/0.72 (declare-const tptp.image_a_a (-> (-> tptp.a tptp.a) tptp.set_a tptp.set_a)) % 0.44/0.72 (declare-const tptp.undefined_a tptp.a) % 0.44/0.72 (declare-const tptp.binary256242811Tree_a (-> tptp.binary1439146945Tree_a tptp.set_a)) % 0.44/0.72 (declare-const tptp.case_option_a_a (-> tptp.a (-> tptp.a tptp.a) tptp.option_a tptp.a)) % 0.44/0.72 (declare-const tptp.some_a (-> tptp.a tptp.option_a)) % 0.44/0.72 (declare-const tptp.binary476621312_Tip_a tptp.binary1439146945Tree_a) % 0.44/0.72 (declare-const tptp.these_option_a (-> tptp.set_option_option_a tptp.set_option_a)) % 0.44/0.72 (declare-const tptp.sup_sup_a_o (-> (-> tptp.a Bool) (-> tptp.a Bool) tptp.a Bool)) % 0.44/0.72 (declare-const tptp.insert1662731738tion_a (-> tptp.option_option_a tptp.set_option_option_a tptp.set_option_option_a)) % 0.44/0.72 (declare-const tptp.bot_bo1607647958tion_a tptp.set_option_option_a) % 0.44/0.72 (define tptp.binary1691793817tion_a () (let ((_let_1 (@var "B2" tptp.option_a))) (let ((_let_2 (@var "A2" tptp.option_a))) (let ((_let_3 (@var "H2" (-> tptp.option_a tptp.int)))) (let ((_let_4 (@var "T2" tptp.binary1176601351tion_a))) (let ((_let_5 (_ tptp.binary1117200954tion_a _let_4))) (lambda (@list _let_3 _let_2 _let_1 _let_4) (=> (and (_ (_ tptp.binary995005080tion_a _let_3) _let_4) (_ (_ tptp.member_option_a _let_2) _let_5) (_ (_ tptp.member_option_a _let_1) _let_5) (= (_ _let_3 _let_2) (_ _let_3 _let_1))) (= _let_2 _let_1))))))))) % 0.44/0.72 (define tptp.binary670562003pred_a () (let ((_let_1 (@var "B2" tptp.a))) (let ((_let_2 (@var "A2" tptp.a))) (let ((_let_3 (@var "H2" (-> tptp.a tptp.int)))) (let ((_let_4 (@var "T2" tptp.binary1439146945Tree_a))) (let ((_let_5 (_ tptp.binary945792244etOf_a _let_4))) (lambda (@list _let_3 _let_2 _let_1 _let_4) (=> (and (_ (_ tptp.binary1721989714Tree_a _let_3) _let_4) (_ (_ tptp.member_a _let_2) _let_5) (_ (_ tptp.member_a _let_1) _let_5) (= (_ _let_3 _let_2) (_ _let_3 _let_1))) (= _let_2 _let_1))))))))) % 0.44/0.72 (define tptp.case_option_o_a () (let ((_let_1 (@var "Option3" tptp.option_a))) (let ((_let_2 (@var "F22" (-> tptp.a Bool)))) (let ((_let_3 (= _let_1 tptp.none_a))) (let ((_let_4 (@var "F12" Bool))) (lambda (@list _let_4 _let_2 _let_1) (and (=> _let_3 _let_4) (=> (not _let_3) (_ _let_2 (_ tptp.the_a2 _let_1)))))))))) % 0.44/0.72 (define tptp.binary2053421120memb_a () (let ((_let_1 (@var "T2" tptp.binary1439146945Tree_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (@var "H2" (-> tptp.a tptp.int)))) (let ((_let_4 (@var "Z" tptp.a))) (let ((_let_5 (@var "Y2" tptp.a))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.case_option_o_a false) (_ (lambda (@list _let_5 _let_4) (= _let_5 _let_4)) _let_2)) (_ (_ (_ tptp.binary779405791okup_a _let_3) (_ _let_3 _let_2)) _let_1))))))))) % 0.44/0.72 (define tptp.bot_bot_a_o () (lambda (@list (@var "X3" tptp.a)) tptp.bot_bot_o)) % 0.44/0.72 (define tptp.is_empty_a () (let ((_let_1 (@var "A5" tptp.set_a))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_a)))) % 0.44/0.72 (define tptp.is_empty_option_a () (let ((_let_1 (@var "A5" tptp.set_option_a))) (lambda (@list _let_1) (= _let_1 tptp.bot_bot_set_option_a)))) % 0.44/0.72 (define tptp.binary504661350_eqs_a () (let ((_let_1 (@var "X3" tptp.a))) (let ((_let_2 (@var "H2" (-> tptp.a tptp.int)))) (let ((_let_3 (@var "Y3" tptp.a))) (lambda (@list _let_2 _let_1) (_ tptp.collect_a (lambda (@list _let_3) (= (_ _let_2 _let_3) (_ _let_2 _let_1))))))))) % 0.44/0.72 (define tptp.binary301690796tion_a () (let ((_let_1 (@var "X3" tptp.option_a))) (let ((_let_2 (@var "H2" (-> tptp.option_a tptp.int)))) (let ((_let_3 (@var "Y3" tptp.option_a))) (lambda (@list _let_2 _let_1) (_ tptp.collect_option_a (lambda (@list _let_3) (= (_ _let_2 _let_3) (_ _let_2 _let_1))))))))) % 0.44/0.72 (define tptp.bot_bot_option_a_o () (let ((_let_1 (@var "X3" tptp.option_a))) (lambda (@list _let_1) (_ (_ tptp.member_option_a _let_1) tptp.bot_bot_set_option_a)))) % 0.44/0.72 (define tptp.ord_le1280890064tion_a () (let ((_let_1 (@var "B5" tptp.set_option_a))) (let ((_let_2 (@var "X3" tptp.option_a))) (let ((_let_3 (_ tptp.member_option_a _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "A5" tptp.set_option_a))) (lambda (@list _let_5 _let_1) (_ (_ tptp.ord_less_option_a_o (lambda _let_4 (_ _let_3 _let_5))) (lambda _let_4 (_ _let_3 _let_1)))))))))) % 0.44/0.72 (define tptp.ord_less_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@list _let_2))) (let ((_let_5 (@var "A5" tptp.set_a))) (lambda (@list _let_5 _let_1) (_ (_ tptp.ord_less_a_o (lambda _let_4 (_ _let_3 _let_5))) (lambda _let_4 (_ _let_3 _let_1)))))))))) % 0.44/0.72 (define tptp.insert_option_a () (let ((_let_1 (@var "B5" tptp.set_option_a))) (let ((_let_2 (@var "X3" tptp.option_a))) (let ((_let_3 (@var "A2" tptp.option_a))) (lambda (@list _let_3 _let_1) (_ tptp.collect_option_a (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member_option_a _let_2) _let_1))))))))) % 0.44/0.72 (define tptp.insert_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (@var "A2" tptp.a))) (lambda (@list _let_3 _let_1) (_ tptp.collect_a (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member_a _let_2) _let_1))))))))) % 0.44/0.72 (define tptp.the_elem_a () (let ((_let_1 (@var "X3" tptp.a))) (let ((_let_2 (@var "X6" tptp.set_a))) (lambda (@list _let_2) (_ tptp.the_a (lambda (@list _let_1) (= _let_2 (_ (_ tptp.insert_a _let_1) tptp.bot_bot_set_a)))))))) % 0.44/0.72 (define tptp.is_singleton_a () (let ((_let_1 (@var "A5" tptp.set_a))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert_a (_ tptp.the_elem_a _let_1)) tptp.bot_bot_set_a))))) % 0.44/0.72 (define tptp.the_elem_option_a () (let ((_let_1 (@var "X3" tptp.option_a))) (let ((_let_2 (@var "X6" tptp.set_option_a))) (lambda (@list _let_2) (_ tptp.the_option_a (lambda (@list _let_1) (= _let_2 (_ (_ tptp.insert_option_a _let_1) tptp.bot_bot_set_option_a)))))))) % 0.44/0.72 (define tptp.is_sin1624444472tion_a () (let ((_let_1 (@var "A5" tptp.set_option_a))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert_option_a (_ tptp.the_elem_option_a _let_1)) tptp.bot_bot_set_option_a))))) % 0.44/0.72 (define tptp.these_a () (let ((_let_1 (@var "X3" tptp.option_a))) (let ((_let_2 (@var "A5" tptp.set_option_a))) (lambda (@list _let_2) (_ (_ tptp.image_option_a_a tptp.the_a2) (_ tptp.collect_option_a (lambda (@list _let_1) (and (_ (_ tptp.member_option_a _let_1) _let_2) (not (= _let_1 tptp.none_a)))))))))) % 0.44/0.72 (define tptp.sup_sup_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X3" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A5" tptp.set_a))) (lambda (@list _let_4 _let_1) (_ tptp.collect_a (lambda (@list _let_2) (or (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))) % 0.44/0.72 (define @t1 () (_ tptp.binary945792244etOf_a tptp.t)) % 0.44/0.72 (define @t2 () (@var "T" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t3 () (@var "B" tptp.a)) % 0.44/0.72 (define @t4 () (@var "A" tptp.a)) % 0.44/0.72 (define @t5 () (@var "H" (-> tptp.a tptp.int))) % 0.44/0.72 (define @t6 () (_ tptp.h tptp.x)) % 0.44/0.72 (define @t7 () (not (= @t6 @t6))) % 0.44/0.72 (define @t8 () (@var "X" tptp.a)) % 0.44/0.72 (define @t9 () (_ tptp.member_a @t8)) % 0.44/0.72 (define @t10 () (@list @t8)) % 0.44/0.72 (define @t11 () (_ tptp.binary1721989714Tree_a @t5)) % 0.44/0.72 (define @t12 () (@var "T1" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t13 () (_ @t11 @t12)) % 0.44/0.72 (define @t14 () (@var "T22" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t15 () (@var "X2" tptp.a)) % 0.44/0.72 (define @t16 () (_ (_ (_ tptp.binary717961607le_T_a @t12) @t15) @t14)) % 0.44/0.72 (define @t17 () (_ @t11 @t16)) % 0.44/0.72 (define @t18 () (@list @t5 @t12 @t15 @t14)) % 0.44/0.72 (define @t19 () (_ @t11 @t14)) % 0.44/0.72 (define @t20 () (@var "K" tptp.int)) % 0.44/0.72 (define @t21 () (_ tptp.binary945792244etOf_a @t2)) % 0.44/0.72 (define @t22 () (_ tptp.binary779405791okup_a @t5)) % 0.44/0.72 (define @t23 () (_ @t22 @t20)) % 0.44/0.72 (define @t24 () (_ @t23 @t2)) % 0.44/0.72 (define @t25 () (_ @t11 @t2)) % 0.44/0.72 (define @t26 () (@var "X2" tptp.option_a)) % 0.44/0.72 (define @t27 () (@var "H" (-> tptp.option_a tptp.int))) % 0.44/0.72 (define @t28 () (@var "T" tptp.binary1176601351tion_a)) % 0.44/0.72 (define @t29 () (_ tptp.binary1117200954tion_a @t28)) % 0.44/0.72 (define @t30 () (_ tptp.member_option_a @t26)) % 0.44/0.72 (define @t31 () (_ tptp.some_option_a @t26)) % 0.44/0.72 (define @t32 () (_ tptp.binary1040190117tion_a @t27)) % 0.44/0.72 (define @t33 () (_ (_ tptp.binary995005080tion_a @t27) @t28)) % 0.44/0.72 (define @t34 () (_ @t5 @t15)) % 0.44/0.72 (define @t35 () (_ tptp.member_a @t15)) % 0.44/0.72 (define @t36 () (_ tptp.some_a @t15)) % 0.44/0.72 (define @t37 () (@var "Y" tptp.option_a)) % 0.44/0.72 (define @t38 () (@var "Y" tptp.a)) % 0.44/0.72 (define @t39 () (_ tptp.member_a @t38)) % 0.44/0.72 (define @t40 () (@var "X3" tptp.a)) % 0.44/0.72 (define @t41 () (_ @t5 @t40)) % 0.44/0.72 (define @t42 () (_ tptp.ord_less_int @t34)) % 0.44/0.72 (define @t43 () (_ tptp.binary945792244etOf_a @t14)) % 0.44/0.72 (define @t44 () (_ tptp.member_a @t40)) % 0.44/0.72 (define @t45 () (@list @t40)) % 0.44/0.72 (define @t46 () (_ tptp.binary945792244etOf_a @t12)) % 0.44/0.72 (define @t47 () (@var "Y23" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t48 () (@var "X23" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t49 () (@var "Y22" tptp.a)) % 0.44/0.72 (define @t50 () (@var "X22" tptp.a)) % 0.44/0.72 (define @t51 () (@var "Y21" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t52 () (@var "X21" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t53 () (_ (_ (_ tptp.binary717961607le_T_a @t52) @t50) @t48)) % 0.44/0.72 (define @t54 () (@var "X232" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t55 () (@var "X222" tptp.a)) % 0.44/0.72 (define @t56 () (@var "X212" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t57 () (@var "Y" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t58 () (@var "Tree" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t59 () (@var "P" (-> tptp.binary1439146945Tree_a Bool))) % 0.44/0.72 (define @t60 () (@var "X32" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t61 () (@var "X24" tptp.a)) % 0.44/0.72 (define @t62 () (@var "X1" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t63 () (_ @t23 @t16)) % 0.44/0.72 (define @t64 () (_ @t42 @t20)) % 0.44/0.72 (define @t65 () (_ (_ tptp.ord_less_int @t20) @t34)) % 0.44/0.72 (define @t66 () (@list @t52 @t50 @t48)) % 0.44/0.72 (define @t67 () (= @t26 tptp.none_a)) % 0.44/0.72 (define @t68 () (@var "Y3" tptp.a)) % 0.44/0.72 (define @t69 () (= @t26 (_ tptp.some_a @t68))) % 0.44/0.72 (define @t70 () (@list @t68)) % 0.44/0.72 (define @t71 () (@list @t26)) % 0.44/0.72 (define @t72 () (@var "Y4" tptp.a)) % 0.44/0.72 (define @t73 () (@var "Q" (-> tptp.a Bool))) % 0.44/0.72 (define @t74 () (@list @t72)) % 0.44/0.72 (define @t75 () (@var "P" Bool)) % 0.44/0.72 (define @t76 () (_ (_ (_ tptp.case_option_o_a @t75) @t73) @t26)) % 0.44/0.72 (define @t77 () (@var "G" (-> tptp.a Bool))) % 0.44/0.72 (define @t78 () (@var "F" Bool)) % 0.44/0.72 (define @t79 () (@var "R" (-> Bool Bool))) % 0.44/0.72 (define @t80 () (@var 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tptp.member_option_a @t117)) % 0.44/0.72 (define @t119 () (@list @t117)) % 0.44/0.72 (define @t120 () (_ tptp.member_a @t4)) % 0.44/0.72 (define @t121 () (@list @t4)) % 0.44/0.72 (define @t122 () (_ @t118 @t104)) % 0.44/0.72 (define @t123 () (not @t122)) % 0.44/0.72 (define @t124 () (_ @t120 @t109)) % 0.44/0.72 (define @t125 () (not @t124)) % 0.44/0.72 (define @t126 () (@var "Y4" tptp.option_a)) % 0.44/0.72 (define @t127 () (_ (_ tptp.member_option_a @t126) @t104)) % 0.44/0.72 (define @t128 () (_ (_ tptp.member_a @t72) @t109)) % 0.44/0.72 (define @t129 () (not @t105)) % 0.44/0.72 (define @t130 () (not @t110)) % 0.44/0.72 (define @t131 () (@var "F2" (-> tptp.a Bool))) % 0.44/0.72 (define @t132 () (@var "H" (-> Bool Bool))) % 0.44/0.72 (define @t133 () (@var "F1" Bool)) % 0.44/0.72 (define @t134 () (_ (_ tptp.case_option_o_a @t133) @t131)) % 0.44/0.72 (define @t135 () (_ @t134 @t81)) % 0.44/0.72 (define @t136 () (@list @t88)) % 0.44/0.72 (define @t137 () (= @t37 tptp.none_a)) % 0.44/0.72 (define @t138 () (@var "X4" tptp.a)) % 0.44/0.72 (define @t139 () (@list @t138)) % 0.44/0.72 (define @t140 () (_ @t96 @t117)) % 0.44/0.72 (define @t141 () (@list @t117 @t96)) % 0.44/0.72 (define @t142 () (_ @t90 @t4)) % 0.44/0.72 (define @t143 () (@list @t4 @t90)) % 0.44/0.72 (define @t144 () (_ @t90 @t138)) % 0.44/0.72 (define @t145 () (@var "Q" (-> tptp.option_a Bool))) % 0.44/0.72 (define @t146 () (@var "X4" tptp.option_a)) % 0.44/0.72 (define @t147 () (@list @t146)) % 0.44/0.72 (define @t148 () (@var "P3" (-> tptp.option_a Bool))) % 0.44/0.72 (define @t149 () (_ @t148 (_ tptp.some_a @t40))) % 0.44/0.72 (define @t150 () (_ @t148 tptp.none_a)) % 0.44/0.72 (define @t151 () (@list @t148)) % 0.44/0.72 (define @t152 () (@var "X5" tptp.option_a)) % 0.44/0.72 (define @t153 () (@var "P2" (-> tptp.option_a Bool))) % 0.44/0.72 (define @t154 () (_ @t153 @t152)) % 0.44/0.72 (define @t155 () (@list @t152)) % 0.44/0.72 (define @t156 () (@list @t153)) % 0.44/0.72 (define @t157 () (@var "P" (-> tptp.option_a tptp.option_a Bool))) % 0.44/0.72 (define @t158 () (_ (_ @t157 @t26) @t37)) % 0.44/0.72 (define @t159 () (@var "B3" tptp.a)) % 0.44/0.72 (define @t160 () (@var "A4" tptp.a)) % 0.44/0.72 (define @t161 () (@var "A" tptp.set_option_a)) % 0.44/0.72 (define @t162 () (@list @t161)) % 0.44/0.72 (define @t163 () (@var "A" tptp.set_a)) % 0.44/0.72 (define @t164 () (_ tptp.ord_less_set_a @t163)) % 0.44/0.72 (define @t165 () (@list @t163)) % 0.44/0.72 (define @t166 () (@var "A" (-> tptp.a Bool))) % 0.44/0.72 (define @t167 () (_ tptp.ord_less_a_o @t166)) % 0.44/0.72 (define @t168 () (@list @t166)) % 0.44/0.72 (define @t169 () (_ tptp.the_a2 @t81)) % 0.44/0.72 (define @t170 () (@var "P" (-> Bool Bool))) % 0.44/0.72 (define @t171 () (_ @t170 (_ @t131 @t169))) % 0.44/0.72 (define @t172 () (_ tptp.some_a @t169)) % 0.44/0.72 (define @t173 () (= @t81 @t172)) % 0.44/0.72 (define @t174 () (_ @t170 @t133)) % 0.44/0.72 (define @t175 () (_ @t170 @t135)) % 0.44/0.72 (define @t176 () (@list @t170 @t133 @t131 @t81)) % 0.44/0.72 (define @t177 () (@var "Xo" tptp.option_option_a)) % 0.44/0.72 (define @t178 () (_ tptp.set_option_option_a2 @t177)) % 0.44/0.72 (define @t179 () (@var "Xo" tptp.option_a)) % 0.44/0.72 (define @t180 () (_ tptp.set_option_a2 @t179)) % 0.44/0.72 (define @t181 () (@var "A" tptp.option_option_a)) % 0.44/0.72 (define @t182 () (_ tptp.set_option_option_a2 @t181)) % 0.44/0.72 (define @t183 () (_ tptp.set_option_a2 @t117)) % 0.44/0.72 (define @t184 () (_ tptp.ord_le1280890064tion_a @t104)) % 0.44/0.72 (define @t185 () (_ tptp.ord_less_set_a @t109)) % 0.44/0.72 (define @t186 () (@var "Option2" tptp.option_a)) % 0.44/0.72 (define @t187 () (= @t186 tptp.none_a)) % 0.44/0.72 (define @t188 () (@var "X25" tptp.option_a)) % 0.44/0.72 (define @t189 () (_ tptp.set_option_option_a2 (_ tptp.some_option_a @t188))) % 0.44/0.72 (define @t190 () (@list @t188)) % 0.44/0.72 (define @t191 () (_ tptp.set_option_a2 @t89)) % 0.44/0.72 (define @t192 () (@var "E" tptp.option_a)) % 0.44/0.72 (define @t193 () (@var "E" tptp.a)) % 0.44/0.72 (define @t194 () (_ tptp.member_a @t193)) % 0.44/0.72 (define @t195 () (@var "A3" tptp.option_a)) % 0.44/0.72 (define @t196 () (_ tptp.member_a @t138)) % 0.44/0.72 (define @t197 () (@var "B" tptp.int)) % 0.44/0.72 (define @t198 () (@var "A" tptp.int)) % 0.44/0.72 (define @t199 () (= @t198 @t197)) % 0.44/0.72 (define @t200 () (not @t199)) % 0.44/0.72 (define @t201 () (_ tptp.ord_less_int @t197)) % 0.44/0.72 (define @t202 () (_ @t201 @t198)) % 0.44/0.72 (define @t203 () (@list @t197 @t198)) % 0.44/0.72 (define @t204 () (@var "B" tptp.set_a)) % 0.44/0.72 (define @t205 () (= @t163 @t204)) % 0.44/0.72 (define @t206 () (not @t205)) % 0.44/0.72 (define @t207 () (_ tptp.ord_less_set_a @t204)) % 0.44/0.72 (define @t208 () (_ @t207 @t163)) % 0.44/0.72 (define @t209 () (@list @t204 @t163)) % 0.44/0.72 (define @t210 () (@var "B" (-> tptp.a Bool))) % 0.44/0.72 (define @t211 () (= @t166 @t210)) % 0.44/0.72 (define @t212 () (not @t211)) % 0.44/0.72 (define @t213 () (_ tptp.ord_less_a_o @t210)) % 0.44/0.72 (define @t214 () (_ @t213 @t166)) % 0.44/0.72 (define @t215 () (@list @t210 @t166)) % 0.44/0.72 (define @t216 () (_ tptp.ord_less_int @t198)) % 0.44/0.72 (define @t217 () (_ @t216 @t197)) % 0.44/0.72 (define @t218 () (@list @t198 @t197)) % 0.44/0.72 (define @t219 () (_ @t164 @t204)) % 0.44/0.72 (define @t220 () (@list @t163 @t204)) % 0.44/0.72 (define @t221 () (_ @t167 @t210)) % 0.44/0.72 (define @t222 () (@list @t166 @t210)) % 0.44/0.72 (define @t223 () (@var "Y" tptp.int)) % 0.44/0.72 (define @t224 () (@var "X2" tptp.int)) % 0.44/0.72 (define @t225 () (= @t224 @t223)) % 0.44/0.72 (define @t226 () (_ tptp.ord_less_int @t223)) % 0.44/0.72 (define @t227 () (_ @t226 @t224)) % 0.44/0.72 (define @t228 () (_ tptp.ord_less_int @t224)) % 0.44/0.72 (define @t229 () (_ @t228 @t223)) % 0.44/0.72 (define @t230 () (not @t229)) % 0.44/0.72 (define @t231 () (@list @t224 @t223)) % 0.44/0.72 (define @t232 () (@var "C" tptp.int)) % 0.44/0.72 (define @t233 () (_ tptp.ord_less_int @t232)) % 0.44/0.72 (define @t234 () (@var "C" tptp.set_a)) % 0.44/0.72 (define @t235 () (_ tptp.ord_less_set_a @t234)) % 0.44/0.72 (define @t236 () (@var "C" (-> tptp.a Bool))) % 0.44/0.72 (define @t237 () (_ tptp.ord_less_a_o @t236)) % 0.44/0.72 (define @t238 () (@var "P" (-> tptp.int tptp.int Bool))) % 0.44/0.72 (define @t239 () (@var "B3" tptp.int)) % 0.44/0.72 (define @t240 () (@var "A4" tptp.int)) % 0.44/0.72 (define @t241 () (_ @t238 @t240)) % 0.44/0.72 (define @t242 () (_ @t241 @t239)) % 0.44/0.72 (define @t243 () (@list @t240 @t239)) % 0.44/0.72 (define @t244 () (not @t227)) % 0.44/0.72 (define @t245 () (@var "X2" tptp.set_a)) % 0.44/0.72 (define @t246 () (@var "Y" tptp.set_a)) % 0.44/0.72 (define @t247 () (_ tptp.ord_less_set_a @t246)) % 0.44/0.72 (define @t248 () (_ @t247 @t245)) % 0.44/0.72 (define @t249 () (_ tptp.ord_less_set_a @t245)) % 0.44/0.72 (define @t250 () (_ @t249 @t246)) % 0.44/0.72 (define @t251 () (@list @t245 @t246)) % 0.44/0.72 (define @t252 () (@var "X2" (-> tptp.a Bool))) % 0.44/0.72 (define @t253 () (@var "Y" (-> tptp.a Bool))) % 0.44/0.72 (define @t254 () (_ tptp.ord_less_a_o @t253)) % 0.44/0.72 (define @t255 () (_ @t254 @t252)) % 0.44/0.72 (define @t256 () (_ tptp.ord_less_a_o @t252)) % 0.44/0.72 (define @t257 () (_ @t256 @t253)) % 0.44/0.72 (define @t258 () (@list @t252 @t253)) % 0.44/0.72 (define @t259 () (_ @t216 @t232)) % 0.44/0.72 (define @t260 () (_ @t201 @t232)) % 0.44/0.72 (define @t261 () (=> @t260 @t259)) % 0.44/0.72 (define @t262 () (@list @t198 @t197 @t232)) % 0.44/0.72 (define @t263 () (_ @t164 @t234)) % 0.44/0.72 (define @t264 () (_ @t207 @t234)) % 0.44/0.72 (define @t265 () (=> @t264 @t263)) % 0.44/0.72 (define @t266 () (@list @t163 @t204 @t234)) % 0.44/0.72 (define @t267 () (_ @t167 @t236)) % 0.44/0.72 (define @t268 () (_ @t213 @t236)) % 0.44/0.72 (define @t269 () (=> @t268 @t267)) % 0.44/0.72 (define @t270 () (@list @t166 @t210 @t236)) % 0.44/0.72 (define @t271 () (not @t225)) % 0.44/0.72 (define @t272 () (@list @t224)) % 0.44/0.72 (define @t273 () (@var "Z2" tptp.int)) % 0.44/0.72 (define @t274 () (@var "Z2" tptp.set_a)) % 0.44/0.72 (define @t275 () (@var "Z2" (-> tptp.a Bool))) % 0.44/0.72 (define @t276 () (@var "X_1" tptp.int)) % 0.44/0.72 (define @t277 () (@var "Y4" tptp.int)) % 0.44/0.72 (define @t278 () (@var "F" (-> tptp.int tptp.int))) % 0.44/0.72 (define @t279 () (@var "X4" tptp.int)) % 0.44/0.72 (define @t280 () (_ (_ tptp.ord_less_int @t279) @t277)) % 0.44/0.72 (define @t281 () (@list @t279 @t277)) % 0.44/0.72 (define @t282 () (forall @t281 (=> @t280 (_ (_ tptp.ord_less_int (_ @t278 @t279)) (_ @t278 @t277))))) % 0.44/0.72 (define @t283 () (=> @t282 (_ (_ tptp.ord_less_int (_ @t278 @t198)) @t232))) % 0.44/0.72 (define @t284 () (_ @t278 @t197)) % 0.44/0.72 (define @t285 () (@list @t198 @t197 @t278 @t232)) % 0.44/0.72 (define @t286 () (@var "F" (-> tptp.int tptp.set_a))) % 0.44/0.72 (define @t287 () (forall @t281 (=> @t280 (_ (_ tptp.ord_less_set_a (_ @t286 @t279)) (_ @t286 @t277))))) % 0.44/0.72 (define @t288 () (=> @t287 (_ (_ tptp.ord_less_set_a (_ @t286 @t198)) @t234))) % 0.44/0.72 (define @t289 () (_ @t286 @t197)) % 0.44/0.72 (define @t290 () (@list @t198 @t197 @t286 @t234)) % 0.44/0.72 (define @t291 () (@var "F" (-> tptp.int tptp.a Bool))) % 0.44/0.72 (define @t292 () (forall @t281 (=> @t280 (_ (_ tptp.ord_less_a_o (_ @t291 @t279)) (_ @t291 @t277))))) % 0.44/0.72 (define @t293 () (=> @t292 (_ (_ tptp.ord_less_a_o (_ @t291 @t198)) @t236))) % 0.44/0.72 (define @t294 () (_ @t291 @t197)) % 0.44/0.72 (define @t295 () (@list @t198 @t197 @t291 @t236)) % 0.44/0.72 (define @t296 () (@var "F" (-> tptp.set_a tptp.int))) % 0.44/0.72 (define @t297 () (@var "Y4" tptp.set_a)) % 0.44/0.72 (define @t298 () (@var "X4" tptp.set_a)) % 0.44/0.72 (define @t299 () (_ (_ tptp.ord_less_set_a @t298) @t297)) % 0.44/0.72 (define @t300 () (@list @t298 @t297)) % 0.44/0.72 (define @t301 () (forall @t300 (=> @t299 (_ (_ tptp.ord_less_int (_ @t296 @t298)) (_ @t296 @t297))))) % 0.44/0.72 (define @t302 () (=> @t301 (_ (_ tptp.ord_less_int (_ @t296 @t163)) @t232))) % 0.44/0.72 (define @t303 () (_ @t296 @t204)) % 0.44/0.72 (define @t304 () (@list @t163 @t204 @t296 @t232)) % 0.44/0.72 (define @t305 () (@var "F" (-> tptp.set_a tptp.set_a))) % 0.44/0.72 (define @t306 () (forall @t300 (=> @t299 (_ (_ tptp.ord_less_set_a (_ @t305 @t298)) (_ @t305 @t297))))) % 0.44/0.72 (define @t307 () (=> @t306 (_ (_ tptp.ord_less_set_a (_ @t305 @t163)) @t234))) % 0.44/0.72 (define @t308 () (_ @t305 @t204)) % 0.44/0.72 (define @t309 () (@list @t163 @t204 @t305 @t234)) % 0.44/0.72 (define @t310 () (@var "F" (-> tptp.set_a tptp.a Bool))) % 0.44/0.72 (define @t311 () (forall @t300 (=> @t299 (_ (_ tptp.ord_less_a_o (_ @t310 @t298)) (_ @t310 @t297))))) % 0.44/0.72 (define @t312 () (=> @t311 (_ (_ tptp.ord_less_a_o (_ @t310 @t163)) @t236))) % 0.44/0.72 (define @t313 () (_ @t310 @t204)) % 0.44/0.72 (define @t314 () (@list @t163 @t204 @t310 @t236)) % 0.44/0.72 (define @t315 () (@var "F" (-> (-> tptp.a Bool) tptp.int))) % 0.44/0.72 (define @t316 () (@var "Y4" (-> tptp.a Bool))) % 0.44/0.72 (define @t317 () (@var "X4" (-> tptp.a Bool))) % 0.44/0.72 (define @t318 () (_ (_ tptp.ord_less_a_o @t317) @t316)) % 0.44/0.72 (define @t319 () (@list @t317 @t316)) % 0.44/0.72 (define @t320 () (forall @t319 (=> @t318 (_ (_ tptp.ord_less_int (_ @t315 @t317)) (_ @t315 @t316))))) % 0.44/0.72 (define @t321 () (=> @t320 (_ (_ tptp.ord_less_int (_ @t315 @t166)) @t232))) % 0.44/0.72 (define @t322 () (_ @t315 @t210)) % 0.44/0.72 (define @t323 () (@list @t166 @t210 @t315 @t232)) % 0.44/0.72 (define @t324 () (@var "F" (-> (-> tptp.a Bool) tptp.set_a))) % 0.44/0.72 (define @t325 () (forall @t319 (=> @t318 (_ (_ tptp.ord_less_set_a (_ @t324 @t317)) (_ @t324 @t316))))) % 0.44/0.72 (define @t326 () (=> @t325 (_ (_ tptp.ord_less_set_a (_ @t324 @t166)) @t234))) % 0.44/0.72 (define @t327 () (_ @t324 @t210)) % 0.44/0.72 (define @t328 () (@list @t166 @t210 @t324 @t234)) % 0.44/0.72 (define @t329 () (@var "F" (-> (-> tptp.a Bool) tptp.a Bool))) % 0.44/0.72 (define @t330 () (forall @t319 (=> @t318 (_ (_ tptp.ord_less_a_o (_ @t329 @t317)) (_ @t329 @t316))))) % 0.44/0.72 (define @t331 () (=> @t330 (_ (_ tptp.ord_less_a_o (_ @t329 @t166)) @t236))) % 0.44/0.72 (define @t332 () (_ @t329 @t210)) % 0.44/0.72 (define @t333 () (@list @t166 @t210 @t329 @t236)) % 0.44/0.72 (define @t334 () (=> @t260 (=> @t282 (_ @t216 (_ @t278 @t232))))) % 0.44/0.72 (define @t335 () (@list @t198 @t278 @t197 @t232)) % 0.44/0.72 (define @t336 () (=> @t264 (=> @t301 (_ @t216 (_ @t296 @t234))))) % 0.44/0.72 (define @t337 () (@list @t198 @t296 @t204 @t234)) % 0.44/0.72 (define @t338 () (=> @t268 (=> @t320 (_ @t216 (_ @t315 @t236))))) % 0.44/0.72 (define @t339 () (@list @t198 @t315 @t210 @t236)) % 0.44/0.72 (define @t340 () (=> @t260 (=> @t287 (_ @t164 (_ @t286 @t232))))) % 0.44/0.72 (define @t341 () (@list @t163 @t286 @t197 @t232)) % 0.44/0.72 (define @t342 () (=> @t264 (=> @t306 (_ @t164 (_ @t305 @t234))))) % 0.44/0.72 (define @t343 () (@list @t163 @t305 @t204 @t234)) % 0.44/0.72 (define @t344 () (=> @t268 (=> @t325 (_ @t164 (_ @t324 @t236))))) % 0.44/0.72 (define @t345 () (@list @t163 @t324 @t210 @t236)) % 0.44/0.72 (define @t346 () (=> @t260 (=> @t292 (_ @t167 (_ @t291 @t232))))) % 0.44/0.72 (define @t347 () (@list @t166 @t291 @t197 @t232)) % 0.44/0.72 (define @t348 () (=> @t264 (=> @t311 (_ @t167 (_ @t310 @t234))))) % 0.44/0.72 (define @t349 () (@list @t166 @t310 @t204 @t234)) % 0.44/0.72 (define @t350 () (=> @t268 (=> @t330 (_ @t167 (_ @t329 @t236))))) % 0.44/0.72 (define @t351 () (@list @t166 @t329 @t210 @t236)) % 0.44/0.72 (define @t352 () (@var "X26" tptp.a)) % 0.44/0.72 (define @t353 () (_ tptp.insert_a @t15)) % 0.44/0.72 (define @t354 () (_ @t353 @t109)) % 0.44/0.72 (define @t355 () (@list @t15 @t109)) % 0.44/0.72 (define @t356 () (_ tptp.insert_option_a @t26)) % 0.44/0.72 (define @t357 () (_ @t356 @t104)) % 0.44/0.72 (define @t358 () (@list @t26 @t104)) % 0.44/0.72 (define @t359 () (@var "B" tptp.option_a)) % 0.44/0.72 (define @t360 () (= @t117 @t359)) % 0.44/0.72 (define @t361 () (_ tptp.insert_option_a @t359)) % 0.44/0.72 (define @t362 () (_ @t118 (_ @t361 @t104))) % 0.44/0.72 (define @t363 () (@list @t117 @t359 @t104)) % 0.44/0.72 (define @t364 () (= @t4 @t3)) % 0.44/0.72 (define @t365 () (_ tptp.insert_a @t3)) % 0.44/0.72 (define @t366 () (_ @t120 (_ @t365 @t109))) % 0.44/0.72 (define @t367 () (@list @t4 @t3 @t109)) % 0.44/0.72 (define @t368 () (@var "B4" tptp.set_option_a)) % 0.44/0.72 (define @t369 () (_ @t361 @t368)) % 0.44/0.72 (define @t370 () (_ @t118 @t369)) % 0.44/0.72 (define @t371 () (_ @t118 @t368)) % 0.44/0.72 (define @t372 () (@list @t117 @t368 @t359)) % 0.44/0.72 (define @t373 () (@var "B4" tptp.set_a)) % 0.44/0.72 (define @t374 () (_ @t365 @t373)) % 0.44/0.72 (define @t375 () (_ @t120 @t374)) % 0.44/0.72 (define @t376 () (_ @t120 @t373)) % 0.44/0.72 (define @t377 () (@list @t4 @t373 @t3)) % 0.44/0.72 (define @t378 () (_ tptp.insert_option_a @t117)) % 0.44/0.72 (define @t379 () (_ @t378 tptp.bot_bot_set_option_a)) % 0.44/0.72 (define @t380 () (_ tptp.insert_a @t4)) % 0.44/0.72 (define @t381 () (_ @t380 tptp.bot_bot_set_a)) % 0.44/0.72 (define @t382 () (= @t40 @t4)) % 0.44/0.72 (define @t383 () (= @t95 @t117)) % 0.44/0.72 (define @t384 () (@var "Z" tptp.a)) % 0.44/0.72 (define @t385 () (@var "Y2" tptp.a)) % 0.44/0.72 (define @t386 () (lambda (@list @t385 @t384) (= @t385 @t384))) % 0.44/0.72 (define @t387 () (@var "Z" tptp.option_a)) % 0.44/0.72 (define @t388 () (@var "Y2" tptp.option_a)) % 0.44/0.72 (define @t389 () (@var "C2" tptp.set_a)) % 0.44/0.72 (define @t390 () (_ @t185 @t373)) % 0.44/0.72 (define @t391 () (@list @t109 @t373 @t389)) % 0.44/0.72 (define @t392 () (_ @t114 @t368)) % 0.44/0.72 (define @t393 () (_ @t114 @t104)) % 0.44/0.72 (define @t394 () (_ @t116 @t373)) % 0.44/0.72 (define @t395 () (_ @t116 @t109)) % 0.44/0.72 (define @t396 () (@var "B6" tptp.set_option_a)) % 0.44/0.72 (define @t397 () (@list @t396)) % 0.44/0.72 (define @t398 () (@list @t117 @t104)) % 0.44/0.72 (define @t399 () (@var "B6" tptp.set_a)) % 0.44/0.72 (define @t400 () (@list @t399)) % 0.44/0.72 (define @t401 () (@list @t4 @t109)) % 0.44/0.72 (define @t402 () (_ tptp.insert_a @t38)) % 0.44/0.72 (define @t403 () (_ tptp.insert_option_a @t37)) % 0.44/0.72 (define @t404 () (@var "C3" tptp.set_option_a)) % 0.44/0.72 (define @t405 () (_ tptp.member_option_a @t359)) % 0.44/0.72 (define @t406 () (not @t360)) % 0.44/0.72 (define @t407 () (= @t104 @t368)) % 0.44/0.72 (define @t408 () (_ @t378 @t104)) % 0.44/0.72 (define @t409 () (@var "C3" tptp.set_a)) % 0.44/0.72 (define @t410 () (_ tptp.member_a @t3)) % 0.44/0.72 (define @t411 () (not @t364)) % 0.44/0.72 (define @t412 () (= @t109 @t373)) % 0.44/0.72 (define @t413 () (_ @t380 @t109)) % 0.44/0.72 (define @t414 () (_ @t30 @t104)) % 0.44/0.72 (define @t415 () (_ @t35 @t109)) % 0.44/0.72 (define @t416 () (_ @t378 @t368)) % 0.44/0.72 (define @t417 () (_ @t380 @t373)) % 0.44/0.72 (define @t418 () (@var "U" tptp.a)) % 0.44/0.72 (define @t419 () (@var "U" tptp.option_a)) % 0.44/0.72 (define @t420 () (= @t359 @t117)) % 0.44/0.72 (define @t421 () (_ @t405 @t379)) % 0.44/0.72 (define @t422 () (@list @t359 @t117)) % 0.44/0.72 (define @t423 () (= @t3 @t4)) % 0.44/0.72 (define @t424 () (_ @t410 @t381)) % 0.44/0.72 (define @t425 () (@list @t3 @t4)) % 0.44/0.72 (define @t426 () (@var "D" tptp.a)) % 0.44/0.72 (define @t427 () (_ @t365 tptp.bot_bot_set_a)) % 0.44/0.72 (define @t428 () (@var "D" tptp.option_a)) % 0.44/0.72 (define @t429 () (_ @t361 tptp.bot_bot_set_option_a)) % 0.44/0.72 (define @t430 () (_ tptp.collect_a (lambda @t45 (and @t382 @t91)))) % 0.44/0.72 (define @t431 () (not @t142)) % 0.44/0.72 (define @t432 () (@list @t90 @t4)) % 0.44/0.72 (define @t433 () (_ tptp.collect_option_a (lambda @t98 (and @t383 @t97)))) % 0.44/0.72 (define @t434 () (not @t140)) % 0.44/0.72 (define @t435 () (@list @t96 @t117)) % 0.44/0.72 (define @t436 () (_ tptp.collect_a (lambda @t45 (and (= @t4 @t40) @t91)))) % 0.44/0.72 (define @t437 () (_ tptp.collect_option_a (lambda @t98 (and (= @t117 @t95) @t97)))) % 0.44/0.72 (define @t438 () (_ @t353 tptp.bot_bot_set_a)) % 0.44/0.72 (define @t439 () (@list @t15)) % 0.44/0.72 (define @t440 () (_ @t356 tptp.bot_bot_set_option_a)) % 0.44/0.72 (define @t441 () (@var "A3" tptp.set_option_option_a)) % 0.44/0.72 (define @t442 () (_ tptp.these_option_a @t441)) % 0.44/0.72 (define @t443 () (@list @t26 @t441)) % 0.44/0.72 (define @t444 () (_ tptp.these_a @t104)) % 0.44/0.72 (define @t445 () (@list @t15 @t104)) % 0.44/0.72 (define @t446 () (_ tptp.is_singleton_a @t109)) % 0.44/0.72 (define @t447 () (_ tptp.is_sin1624444472tion_a @t104)) % 0.44/0.72 (define @t448 () (_ tptp.insert_option_a tptp.none_a)) % 0.44/0.72 (define @t449 () (_ @t196 @t109)) % 0.44/0.72 (define @t450 () (@var "B4" tptp.set_option_option_a)) % 0.44/0.72 (define @t451 () (= @t450 (_ (_ tptp.insert1662731738tion_a tptp.none_option_a) tptp.bot_bo1607647958tion_a))) % 0.44/0.72 (define @t452 () (= @t450 tptp.bot_bo1607647958tion_a)) % 0.44/0.72 (define @t453 () (= (_ tptp.these_option_a @t450) tptp.bot_bot_set_option_a)) % 0.44/0.72 (define @t454 () (@list @t450)) % 0.44/0.72 (define @t455 () (= @t368 (_ @t448 tptp.bot_bot_set_option_a))) % 0.44/0.72 (define @t456 () (= @t368 tptp.bot_bot_set_option_a)) % 0.44/0.72 (define @t457 () (= (_ tptp.these_a @t368) tptp.bot_bot_set_a)) % 0.44/0.72 (define @t458 () (@list @t368)) % 0.44/0.72 (define @t459 () (_ (_ tptp.insert_a @t40) tptp.bot_bot_set_a)) % 0.44/0.72 (define @t460 () (@var "A5" tptp.set_a)) % 0.44/0.72 (define @t461 () (@list @t460)) % 0.44/0.72 (define @t462 () (_ (_ tptp.insert_option_a @t95) tptp.bot_bot_set_option_a)) % 0.44/0.72 (define @t463 () (@var "A5" tptp.set_option_a)) % 0.44/0.72 (define @t464 () (@list @t463)) % 0.44/0.72 (define @t465 () (@var "T22" tptp.binary1176601351tion_a)) % 0.44/0.72 (define @t466 () (@var "T1" tptp.binary1176601351tion_a)) % 0.44/0.72 (define @t467 () (@var "F" (-> tptp.a tptp.option_a))) % 0.44/0.72 (define @t468 () (_ tptp.image_a_option_a @t467)) % 0.44/0.72 (define @t469 () (_ @t468 @t109)) % 0.44/0.72 (define @t470 () (_ @t467 @t15)) % 0.44/0.72 (define @t471 () (@var "F" (-> tptp.option_a tptp.a))) % 0.44/0.72 (define @t472 () (_ tptp.image_option_a_a @t471)) % 0.44/0.72 (define @t473 () (_ @t472 @t104)) % 0.44/0.72 (define @t474 () (_ @t471 @t26)) % 0.44/0.72 (define @t475 () (@var "F" (-> tptp.option_a tptp.option_a))) % 0.44/0.72 (define @t476 () (_ tptp.image_139503237tion_a @t475)) % 0.44/0.72 (define @t477 () (_ @t476 @t104)) % 0.44/0.72 (define @t478 () (_ @t405 @t477)) % 0.44/0.72 (define @t479 () (_ @t475 @t26)) % 0.44/0.72 (define @t480 () (= @t359 @t479)) % 0.44/0.72 (define @t481 () (@var "F" (-> tptp.a tptp.a))) % 0.44/0.72 (define @t482 () (_ tptp.image_a_a @t481)) % 0.44/0.72 (define @t483 () (_ @t482 @t109)) % 0.44/0.72 (define @t484 () (_ @t410 @t483)) % 0.44/0.72 (define @t485 () (_ @t481 @t15)) % 0.44/0.72 (define @t486 () (= @t3 @t485)) % 0.44/0.72 (define @t487 () (_ tptp.sup_sup_set_option_a @t104)) % 0.44/0.72 (define @t488 () (_ @t487 @t368)) % 0.44/0.72 (define @t489 () (_ @t114 @t488)) % 0.44/0.72 (define @t490 () (_ tptp.sup_sup_set_a @t109)) % 0.44/0.72 (define @t491 () (_ @t490 @t373)) % 0.44/0.72 (define @t492 () (_ @t116 @t491)) % 0.44/0.72 (define @t493 () (@list @t115 @t109 @t373)) % 0.44/0.72 (define @t494 () (@list @t115 @t373 @t109)) % 0.44/0.72 (define @t495 () (@var "Y5" tptp.set_a)) % 0.44/0.72 (define @t496 () (@list @t481 @t109)) % 0.44/0.72 (define @t497 () (@list @t471 @t104)) % 0.44/0.72 (define @t498 () (@list @t467 @t109)) % 0.44/0.72 (define @t499 () (@list @t475 @t104)) % 0.44/0.72 (define @t500 () (@list @t15 @t109 @t481)) % 0.44/0.72 (define @t501 () (@list @t109 @t373)) % 0.44/0.72 (define @t502 () (@var "C2" tptp.set_option_a)) % 0.44/0.72 (define @t503 () (_ tptp.sup_sup_set_a @t373)) % 0.44/0.72 (define @t504 () (_ @t503 @t389)) % 0.44/0.72 (define @t505 () (@var "__flatten_var_0" tptp.set_option_a)) % 0.44/0.72 (define @t506 () (@var "A2" tptp.option_a)) % 0.44/0.72 (define @t507 () (= @t95 @t506)) % 0.44/0.72 (define @t508 () (@var "__flatten_var_0" tptp.set_a)) % 0.44/0.72 (define @t509 () (@var "A2" tptp.a)) % 0.44/0.72 (define @t510 () (= @t40 @t509)) % 0.44/0.72 (define @t511 () (@var "B5" tptp.set_a)) % 0.44/0.72 (define @t512 () (_ @t44 @t511)) % 0.44/0.72 (define @t513 () (lambda @t45 @t512)) % 0.44/0.72 (define @t514 () (_ @t44 @t460)) % 0.44/0.72 (define @t515 () (lambda @t45 @t514)) % 0.44/0.72 (define @t516 () (@list @t460 @t511)) % 0.44/0.72 (define @t517 () (@var "S" tptp.set_a)) % 0.44/0.72 (define @t518 () (@var "R" tptp.set_a)) % 0.44/0.72 (define @t519 () (_ tptp.image_a_option_a tptp.some_a)) % 0.44/0.72 (define @t520 () (not (= @t95 tptp.none_a))) % 0.44/0.72 (define @t521 () (_ tptp.binary256242811Tree_a @t48)) % 0.44/0.72 (define @t522 () (_ tptp.binary256242811Tree_a @t52)) % 0.44/0.72 (define @t523 () (_ tptp.binary256242811Tree_a @t53)) % 0.44/0.72 (define @t524 () (@var "Ya" tptp.a)) % 0.44/0.72 (define @t525 () (_ tptp.member_a @t524)) % 0.44/0.72 (define @t526 () (@var "Z3" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t527 () (@var "Z22" tptp.a)) % 0.44/0.72 (define @t528 () (@var "Z1" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t529 () (_ tptp.binary717961607le_T_a @t528)) % 0.44/0.72 (define @t530 () (@var "A" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t531 () (= @t530 (_ (_ @t529 @t527) @t526))) % 0.44/0.72 (define @t532 () (@var "B2" tptp.option_a)) % 0.44/0.72 (define @t533 () (@var "H2" (-> tptp.option_a tptp.int))) % 0.44/0.72 (define @t534 () (@var "T2" tptp.binary1176601351tion_a)) % 0.44/0.72 (define @t535 () (_ tptp.binary1117200954tion_a @t534)) % 0.44/0.72 (define @t536 () (lambda (@list @t533 @t506 @t532 @t534) (=> (and (_ (_ tptp.binary995005080tion_a @t533) @t534) (_ (_ tptp.member_option_a @t506) @t535) (_ (_ tptp.member_option_a @t532) @t535) (= (_ @t533 @t506) (_ @t533 @t532))) (= @t506 @t532)))) % 0.44/0.72 (define @t537 () (@var "B2" tptp.a)) % 0.44/0.72 (define @t538 () (@var "H2" (-> tptp.a tptp.int))) % 0.44/0.72 (define @t539 () (@var "T2" tptp.binary1439146945Tree_a)) % 0.44/0.72 (define @t540 () (_ tptp.binary945792244etOf_a @t539)) % 0.44/0.72 (define @t541 () (lambda (@list @t538 @t509 @t537 @t539) (=> (and (_ (_ tptp.binary1721989714Tree_a @t538) @t539) (_ (_ tptp.member_a @t509) @t540) (_ (_ tptp.member_a @t537) @t540) (= (_ @t538 @t509) (_ @t538 @t537))) (= @t509 @t537)))) % 0.44/0.72 (define @t542 () (_ @t538 @t40)) % 0.44/0.72 (define @t543 () (lambda (@list @t538 @t40 @t539) (_ (_ @t85 (_ @t386 @t40)) (_ (_ (_ tptp.binary779405791okup_a @t538) @t542) @t539)))) % 0.44/0.72 (define @t544 () (lambda @t45 tptp.bot_bot_o)) % 0.44/0.72 (define @t545 () (lambda @t461 (= @t460 tptp.bot_bot_set_a))) % 0.44/0.72 (define @t546 () (lambda @t464 (= @t463 tptp.bot_bot_set_option_a))) % 0.44/0.72 (define @t547 () (lambda (@list @t538 @t40) (_ tptp.collect_a (lambda @t70 (= (_ @t538 @t68) @t542))))) % 0.44/0.72 (define @t548 () (@var "Y3" tptp.option_a)) % 0.44/0.72 (define @t549 () (lambda (@list @t533 @t95) (_ tptp.collect_option_a (lambda (@list @t548) (= (_ @t533 @t548) (_ @t533 @t95)))))) % 0.44/0.72 (define @t550 () (@var "Option3" tptp.option_a)) % 0.44/0.72 (define @t551 () (@var "F22" (-> tptp.a Bool))) % 0.44/0.72 (define @t552 () (= @t550 tptp.none_a)) % 0.44/0.72 (define @t553 () (@var "F12" Bool)) % 0.44/0.72 (define @t554 () (lambda (@list @t553 @t551 @t550) (and (=> @t552 @t553) (=> (not @t552) (_ @t551 (_ tptp.the_a2 @t550)))))) % 0.44/0.72 (define @t555 () (lambda @t98 (_ @t106 tptp.bot_bot_set_option_a))) % 0.44/0.72 (define @t556 () (@var "B5" tptp.set_option_a)) % 0.44/0.72 (define @t557 () (_ @t106 @t556)) % 0.44/0.72 (define @t558 () (_ @t106 @t463)) % 0.44/0.72 (define @t559 () (lambda (@list @t463 @t556) (_ (_ tptp.ord_less_option_a_o (lambda @t98 @t558)) (lambda @t98 @t557)))) % 0.44/0.72 (define @t560 () (lambda @t516 (_ (_ tptp.ord_less_a_o @t515) @t513))) % 0.44/0.72 (define @t561 () (lambda (@list @t506 @t556) (_ tptp.collect_option_a (lambda @t98 (or @t507 @t557))))) % 0.44/0.72 (define @t562 () (lambda (@list @t509 @t511) (_ tptp.collect_a (lambda @t45 (or @t510 @t512))))) % 0.44/0.72 (define @t563 () (lambda @t461 (= @t460 (_ (_ tptp.insert_a (_ tptp.the_elem_a @t460)) tptp.bot_bot_set_a)))) % 0.44/0.72 (define @t564 () (lambda @t464 (= @t463 (_ (_ tptp.insert_option_a (_ tptp.the_elem_option_a @t463)) tptp.bot_bot_set_option_a)))) % 0.44/0.72 (define @t565 () (@var "X6" tptp.set_a)) % 0.44/0.72 (define @t566 () (lambda (@list @t565) (_ tptp.the_a (lambda @t45 (= @t565 @t459))))) % 0.44/0.72 (define @t567 () (@var "X6" tptp.set_option_a)) % 0.44/0.72 (define @t568 () (lambda (@list @t567) (_ tptp.the_option_a (lambda @t98 (= @t567 @t462))))) % 0.44/0.72 (define @t569 () (lambda @t464 (_ (_ tptp.image_option_a_a tptp.the_a2) (_ tptp.collect_option_a (lambda @t98 (and @t558 @t520)))))) % 0.44/0.72 (define @t570 () (lambda @t516 (_ tptp.collect_a (lambda @t45 (or @t514 @t512))))) % 0.44/0.72 (assume @p1 (_ (_ tptp.member_a tptp.x) @t1)) % 0.44/0.72 (assume @p2 (forall (@list @t5 @t4 @t3 @t2) (_ (_ (_ (_ tptp.binary670562003pred_a @t5) @t4) @t3) @t2))) % 0.44/0.72 (assume @p3 (_ (_ tptp.binary1721989714Tree_a tptp.h) tptp.t)) % 0.44/0.72 (assume @p4 (not (_ (_ (_ tptp.binary2053421120memb_a tptp.h) tptp.x) tptp.t))) % 0.44/0.72 (assume @p5 @t7) % 0.44/0.72 (assume @p6 (forall @t10 (=> (_ @t9 @t1) (not (= (_ tptp.h @t8) @t6))))) % 0.44/0.72 (assume @p7 (= (_ (_ (_ tptp.binary779405791okup_a tptp.h) @t6) tptp.t) tptp.none_a)) % 0.44/0.72 (assume @p8 (forall (@list @t5) (_ @t11 tptp.binary476621312_Tip_a))) % 0.44/0.72 (assume @p9 (forall @t18 (=> @t17 @t13))) % 0.44/0.72 (assume @p10 (forall @t18 (=> @t17 @t19))) % 0.44/0.72 (assume @p11 (forall (@list @t5 @t2 @t20) (=> (and @t25 (= @t24 tptp.none_a)) (forall @t10 (=> (_ @t9 @t21) (not (= (_ @t5 @t8) @t20))))))) % 0.44/0.72 (assume @p12 (forall (@list @t27 @t28 @t20 @t26) (=> (and @t33 (= (_ (_ @t32 @t20) @t28) @t31)) (and (_ @t30 @t29) (= (_ @t27 @t26) @t20))))) % 0.44/0.72 (assume @p13 (forall (@list @t5 @t2 @t20 @t15) (=> (and @t25 (= @t24 @t36)) (and (_ @t35 @t21) (= @t34 @t20))))) % 0.44/0.72 (assume @p14 (forall (@list @t27 @t28 @t37) (=> (and @t33 (_ (_ tptp.member_option_a @t37) @t29)) (= (_ (_ @t32 (_ @t27 @t37)) @t28) (_ tptp.some_option_a @t37))))) % 0.44/0.72 (assume @p15 (forall (@list @t5 @t2 @t38) (=> (and @t25 (_ @t39 @t21)) (= (_ (_ @t22 (_ @t5 @t38)) @t2) (_ tptp.some_a @t38))))) % 0.44/0.72 (assume @p16 (forall @t18 (= @t17 (and @t13 (forall @t45 (=> (_ @t44 @t46) (_ (_ tptp.ord_less_int @t41) @t34))) (forall @t45 (=> (_ @t44 @t43) (_ @t42 @t41))) @t19)))) % 0.44/0.72 (assume @p17 (= (_ tptp.binary1117200954tion_a tptp.binary471442758tion_a) tptp.bot_bot_set_option_a)) % 0.44/0.72 (assume @p18 (= (_ tptp.binary945792244etOf_a tptp.binary476621312_Tip_a) tptp.bot_bot_set_a)) % 0.44/0.72 (assume @p19 (forall (@list @t52 @t50 @t48 @t51 @t49 @t47) (= (= @t53 (_ (_ (_ tptp.binary717961607le_T_a @t51) @t49) @t47)) (and (= @t52 @t51) (= @t50 @t49) (= @t48 @t47))))) % 0.44/0.72 (assume @p20 (forall (@list @t57) (=> (not (= @t57 tptp.binary476621312_Tip_a)) (not (forall (@list @t56 @t55 @t54) (not (= @t57 (_ (_ (_ tptp.binary717961607le_T_a @t56) @t55) @t54)))))))) % 0.44/0.72 (assume @p21 (forall (@list @t59 @t58) (=> (_ @t59 tptp.binary476621312_Tip_a) (=> (forall (@list @t62 @t61 @t60) (=> (_ @t59 @t62) (=> (_ @t59 @t60) (_ @t59 (_ (_ (_ tptp.binary717961607le_T_a @t62) @t61) @t60))))) (_ @t59 @t58))))) % 0.44/0.72 (assume @p22 (forall (@list @t5 @t20) (= (_ @t23 tptp.binary476621312_Tip_a) tptp.none_a))) % 0.44/0.72 (assume @p23 (forall (@list @t20 @t5 @t15 @t12 @t14) (and (=> @t65 (= @t63 (_ @t23 @t12))) (=> (not @t65) (and (=> @t64 (= @t63 (_ @t23 @t14))) (=> (not @t64) (= @t63 @t36))))))) % 0.44/0.72 (assume @p24 (forall @t66 (not (= tptp.binary476621312_Tip_a @t53)))) % 0.44/0.72 (assume @p25 (forall @t71 (= (forall @t70 (not @t69)) @t67))) % 0.44/0.72 (assume @p26 (forall @t71 (= (not @t67) (exists @t70 @t69)))) % 0.44/0.72 (assume @p27 (forall (@list @t75 @t73 @t26) (=> @t76 (=> (=> @t67 (not @t75)) (not (forall @t74 (=> (= @t26 (_ tptp.some_a @t72)) (not (_ @t73 @t72))))))))) % 0.44/0.72 (assume @p28 (forall (@list @t75 @t73 @t26 @t79 @t78 @t77) (=> @t76 (=> (=> @t75 (_ @t79 @t78)) (=> (forall (@list @t80) (=> (_ @t73 @t80) (_ @t79 (_ @t77 @t80)))) (_ @t79 (_ (_ (_ tptp.case_option_o_a @t78) @t77) @t26))))))) % 0.44/0.72 (assume @p29 (forall @t84 (= @t83 (_ (_ (_ tptp.case_option_o_a true) (lambda @t82 false)) @t81)))) % 0.44/0.72 (assume @p30 (forall @t84 (= @t86 (_ (_ @t85 (lambda @t82 true)) @t81)))) % 0.44/0.72 (assume @p31 (forall (@list @t88 @t87) (= (= @t89 (_ tptp.some_a @t87)) (= @t88 @t87)))) % 0.44/0.72 (assume @p32 (forall @t94 (= (= tptp.bot_bot_set_a @t93) @t92))) % 0.44/0.72 (assume @p33 (forall @t101 (= (= tptp.bot_bot_set_option_a @t100) @t99))) % 0.44/0.72 (assume @p34 (forall @t94 (= @t102 @t92))) % 0.44/0.72 (assume @p35 (forall @t101 (= @t103 @t99))) % 0.44/0.72 (assume @p36 (forall @t108 (= (forall @t98 (not @t107)) @t105))) % 0.44/0.72 (assume @p37 (forall @t112 (= (forall @t45 (not @t111)) @t110))) % 0.44/0.72 (assume @p38 (forall (@list @t113) (not (_ @t114 tptp.bot_bot_set_option_a)))) % 0.44/0.72 (assume @p39 (forall (@list @t115) (not (_ @t116 tptp.bot_bot_set_a)))) % 0.44/0.72 (assume @p40 (forall @t119 (not (_ @t118 tptp.bot_bot_set_option_a)))) % 0.44/0.72 (assume @p41 (forall @t121 (not (_ @t120 tptp.bot_bot_set_a)))) % 0.44/0.72 (assume @p42 (forall (@list @t104 @t117) (=> @t105 @t123))) % 0.44/0.72 (assume @p43 (forall (@list @t109 @t4) (=> @t110 @t125))) % 0.44/0.72 (assume @p44 (forall @t108 (=> (forall (@list @t126) (not @t127)) @t105))) % 0.44/0.72 (assume @p45 (forall @t112 (=> (forall @t74 (not @t128)) @t110))) % 0.44/0.72 (assume @p46 (forall @t108 (= (exists @t98 @t107) @t129))) % 0.44/0.72 (assume @p47 (forall @t112 (= (exists @t45 @t111) @t130))) % 0.44/0.72 (assume @p48 (= tptp.bot_bot_set_a (_ tptp.collect_a (lambda @t45 false)))) % 0.44/0.72 (assume @p49 (= tptp.bot_bot_set_option_a (_ tptp.collect_option_a (lambda @t98 false)))) % 0.44/0.72 (assume @p50 (forall (@list @t132 @t133 @t131 @t81) (= (_ @t132 @t135) (_ (_ (_ tptp.case_option_o_a (_ @t132 @t133)) (lambda @t45 (_ @t132 (_ @t131 @t40)))) @t81)))) % 0.44/0.72 (assume @p51 (forall @t136 (not (= tptp.none_a @t89)))) % 0.44/0.72 (assume @p52 (forall (@list @t81 @t88) (=> (= @t81 @t89) @t86))) % 0.44/0.72 (assume @p53 (forall (@list @t37) (=> (not @t137) (not (forall (@list @t61) (not (= @t37 (_ tptp.some_a @t61)))))))) % 0.44/0.72 (assume @p54 (forall (@list @t96 @t81) (=> (_ @t96 tptp.none_a) (=> (forall @t139 (_ @t96 (_ tptp.some_a @t138))) (_ @t96 @t81))))) % 0.44/0.72 (assume @p55 (forall @t141 (= (_ @t118 @t100) @t140))) % 0.44/0.72 (assume @p56 (forall @t143 (= (_ @t120 @t93) @t142))) % 0.44/0.72 (assume @p57 (forall @t108 (= (_ tptp.collect_option_a (lambda @t98 @t107)) @t104))) % 0.44/0.72 (assume @p58 (forall @t112 (= (_ tptp.collect_a (lambda @t45 @t111)) @t109))) % 0.44/0.72 (assume @p59 (forall (@list @t90 @t73) (=> (forall @t139 (= @t144 (_ @t73 @t138))) (= @t93 (_ tptp.collect_a @t73))))) % 0.44/0.72 (assume @p60 (forall (@list @t96 @t145) (=> (forall @t147 (= (_ @t96 @t146) (_ @t145 @t146))) (= @t100 (_ tptp.collect_option_a @t145))))) % 0.44/0.72 (assume @p61 (= (lambda @t156 (exists @t155 @t154)) (lambda @t151 (or @t150 (exists @t45 @t149))))) % 0.44/0.72 (assume @p62 (= (lambda @t156 (forall @t155 @t154)) (lambda @t151 (and @t150 (forall @t45 @t149))))) % 0.44/0.72 (assume @p63 (forall (@list @t26 @t157 @t37) (=> (=> @t67 @t158) (=> (=> @t137 @t158) (=> (forall (@list @t160 @t159) (=> (= @t26 (_ tptp.some_a @t160)) (=> (= @t37 (_ tptp.some_a @t159)) @t158))) @t158))))) % 0.44/0.72 (assume @p64 (forall (@list @t133 @t131) (= (_ @t134 tptp.none_a) @t133))) % 0.44/0.72 (assume @p65 (forall (@list @t133 @t131 @t88) (= (_ @t134 @t89) (_ @t131 @t88)))) % 0.44/0.72 (assume @p66 (forall @t162 (not (_ (_ tptp.ord_le1280890064tion_a @t161) tptp.bot_bot_set_option_a)))) % 0.44/0.72 (assume @p67 (forall @t165 (not (_ @t164 tptp.bot_bot_set_a)))) % 0.44/0.72 (assume @p68 (forall @t168 (not (_ @t167 tptp.bot_bot_a_o)))) % 0.44/0.72 (assume @p69 (forall @t162 (= (not (= @t161 tptp.bot_bot_set_option_a)) (_ (_ tptp.ord_le1280890064tion_a tptp.bot_bot_set_option_a) @t161)))) % 0.44/0.72 (assume @p70 (forall @t165 (= (not (= @t163 tptp.bot_bot_set_a)) (_ (_ tptp.ord_less_set_a tptp.bot_bot_set_a) @t163)))) % 0.44/0.72 (assume @p71 (forall @t168 (= (not (= @t166 tptp.bot_bot_a_o)) (_ (_ tptp.ord_less_a_o tptp.bot_bot_a_o) @t166)))) % 0.44/0.72 (assume @p72 (forall @t176 (= @t175 (and (=> @t83 @t174) (=> @t173 @t171))))) % 0.44/0.72 (assume @p73 (forall @t176 (= @t175 (not (or (and @t83 (not @t174)) (and @t173 (not @t171))))))) % 0.44/0.72 (assume @p74 (forall (@list @t177) (= (= @t178 tptp.bot_bot_set_option_a) (= @t177 tptp.none_option_a)))) % 0.44/0.72 (assume @p75 (forall (@list @t179) (= (= @t180 tptp.bot_bot_set_a) (= @t179 tptp.none_a)))) % 0.44/0.72 (assume @p76 (forall (@list @t26 @t177) (= (_ @t30 @t178) (= @t177 @t31)))) % 0.44/0.72 (assume @p77 (forall (@list @t15 @t179) (= (_ @t35 @t180) (= @t179 @t36)))) % 0.44/0.72 (assume @p78 (forall @t84 (=> @t86 (= @t172 @t81)))) % 0.44/0.72 (assume @p79 (forall (@list @t181) (=> (not (= @t181 tptp.none_option_a)) (_ (_ tptp.member_option_a (_ tptp.the_option_a2 @t181)) @t182)))) % 0.44/0.72 (assume @p80 (forall @t119 (=> (not (= @t117 tptp.none_a)) (_ (_ tptp.member_a (_ tptp.the_a2 @t117)) @t183)))) % 0.44/0.72 (assume @p81 (= tptp.bot_bot_set_a (_ tptp.collect_a tptp.bot_bot_a_o))) % 0.44/0.72 (assume @p82 (= tptp.bot_bot_set_option_a (_ tptp.collect_option_a tptp.bot_bot_option_a_o))) % 0.44/0.72 (assume @p83 (forall @t108 (not (_ @t184 tptp.bot_bot_set_option_a)))) % 0.44/0.72 (assume @p84 (forall @t112 (not (_ @t185 tptp.bot_bot_set_a)))) % 0.44/0.72 (assume @p85 (forall (@list @t81 @t186) (=> (= @t83 @t187) (=> (=> @t86 (=> (not @t187) (= @t169 (_ tptp.the_a2 @t186)))) (= @t81 @t186))))) % 0.44/0.72 (assume @p86 (forall @t136 (= (_ tptp.the_a2 @t89) @t88))) % 0.44/0.72 (assume @p87 (forall @t190 (_ (_ tptp.member_option_a @t188) @t189))) % 0.44/0.72 (assume @p88 (forall @t136 (_ (_ tptp.member_a @t88) @t191))) % 0.44/0.72 (assume @p89 (forall (@list @t192 @t181) (=> (_ (_ tptp.member_option_a @t192) @t182) (= @t181 (_ tptp.some_option_a @t192))))) % 0.44/0.72 (assume @p90 (forall (@list @t193 @t117) (=> (_ @t194 @t183) (= @t117 (_ tptp.some_a @t193))))) % 0.44/0.72 (assume @p91 (forall (@list @t195 @t90 @t15) (=> (forall @t139 (=> (_ @t196 (_ tptp.set_option_a2 @t195)) @t144)) (=> (= @t195 @t36) (_ @t90 @t15))))) % 0.44/0.72 (assume @p92 (forall @t84 (=> @t86 @t173))) % 0.44/0.72 (assume @p93 (= (_ tptp.set_option_option_a2 tptp.none_option_a) tptp.bot_bot_set_option_a)) % 0.44/0.72 (assume @p94 (= (_ tptp.set_option_a2 tptp.none_a) tptp.bot_bot_set_a)) % 0.44/0.72 (assume @p95 (forall @t203 (=> @t202 @t200))) % 0.44/0.72 (assume @p96 (forall @t209 (=> @t208 @t206))) % 0.44/0.72 (assume @p97 (forall @t215 (=> @t214 @t212))) % 0.44/0.72 (assume @p98 (forall @t218 (=> @t217 @t200))) % 0.44/0.72 (assume @p99 (forall @t220 (=> @t219 @t206))) % 0.44/0.72 (assume @p100 (forall @t222 (=> @t221 @t212))) % 0.44/0.72 (assume @p101 (forall @t231 (= @t230 (or @t227 @t225)))) % 0.44/0.72 (assume @p102 (forall (@list @t197 @t198 @t232) (=> @t202 (=> (_ @t233 @t197) (_ @t233 @t198))))) % 0.44/0.72 (assume @p103 (forall (@list @t204 @t163 @t234) (=> @t208 (=> (_ @t235 @t204) (_ @t235 @t163))))) % 0.44/0.72 (assume @p104 (forall (@list @t210 @t166 @t236) (=> @t214 (=> (_ @t237 @t210) (_ @t237 @t166))))) % 0.44/0.72 (assume @p105 (forall (@list @t238 @t198 @t197) (=> (forall @t243 (=> (_ (_ tptp.ord_less_int @t240) @t239) @t242)) (=> (forall (@list @t240) (_ @t241 @t240)) (=> (forall @t243 (=> (_ (_ @t238 @t239) @t240) @t242)) (_ (_ @t238 @t198) @t197)))))) % 0.44/0.72 (assume @p106 (forall @t231 (=> @t229 @t244))) % 0.44/0.72 (assume @p107 (forall @t251 (=> @t250 (not @t248)))) % 0.44/0.72 (assume @p108 (forall @t258 (=> @t257 (not @t255)))) % 0.44/0.72 (assume @p109 (forall @t262 (=> @t217 @t261))) % 0.44/0.72 (assume @p110 (forall @t266 (=> @t219 @t265))) % 0.44/0.72 (assume @p111 (forall @t270 (=> @t221 @t269))) % 0.44/0.72 (assume @p112 (forall (@list @t198) (not (_ @t216 @t198)))) % 0.44/0.72 (assume @p113 (forall @t165 (not (_ @t164 @t163)))) % 0.44/0.72 (assume @p114 (forall @t168 (not (_ @t167 @t166)))) % 0.44/0.72 (assume @p115 (forall @t231 (=> @t230 (=> @t271 @t227)))) % 0.44/0.72 (assume @p116 (forall (@list @t224 @t223 @t75) (=> @t229 (=> @t227 @t75)))) % 0.44/0.72 (assume @p117 (forall (@list @t245 @t246 @t75) (=> @t250 (=> @t248 @t75)))) % 0.44/0.72 (assume @p118 (forall (@list @t252 @t253 @t75) (=> @t257 (=> @t255 @t75)))) % 0.44/0.72 (assume @p119 (forall @t231 (=> @t229 (not (= @t223 @t224))))) % 0.44/0.72 (assume @p120 (forall @t251 (=> @t250 (not (= @t246 @t245))))) % 0.44/0.72 (assume @p121 (forall @t258 (=> @t257 (not (= @t253 @t252))))) % 0.44/0.72 (assume @p122 (forall (@list @t223 @t224) (=> @t244 (= @t230 @t225)))) % 0.44/0.72 (assume @p123 (forall @t231 (=> @t229 @t271))) % 0.44/0.72 (assume @p124 (forall @t251 (=> @t250 (not (= @t245 @t246))))) % 0.44/0.72 (assume @p125 (forall @t258 (=> @t257 (not (= @t252 @t253))))) % 0.44/0.72 (assume @p126 (forall @t203 (=> @t202 (not @t217)))) % 0.44/0.72 (assume @p127 (forall @t209 (=> @t208 (not @t219)))) % 0.44/0.72 (assume @p128 (forall @t215 (=> @t214 (not @t221)))) % 0.44/0.72 (assume @p129 (forall @t262 (=> @t217 (=> (= @t197 @t232) @t259)))) % 0.44/0.72 (assume @p130 (forall @t266 (=> @t219 (=> (= @t204 @t234) @t263)))) % 0.44/0.72 (assume @p131 (forall @t270 (=> @t221 (=> (= @t210 @t236) @t267)))) % 0.44/0.72 (assume @p132 (forall @t262 (=> @t199 @t261))) % 0.44/0.72 (assume @p133 (forall @t266 (=> @t205 @t265))) % 0.44/0.72 (assume @p134 (forall @t270 (=> @t211 @t269))) % 0.44/0.72 (assume @p135 (forall @t272 (not (_ @t228 @t224)))) % 0.44/0.72 (assume @p136 (forall (@list @t245) (not (_ @t249 @t245)))) % 0.44/0.72 (assume @p137 (forall (@list @t252) (not (_ @t256 @t252)))) % 0.44/0.72 (assume @p138 (forall @t231 (or @t229 @t225 @t227))) % 0.44/0.72 (assume @p139 (forall (@list @t224 @t223 @t273) (=> @t229 (=> (_ @t226 @t273) (_ @t228 @t273))))) % 0.44/0.72 (assume @p140 (forall (@list @t245 @t246 @t274) (=> @t250 (=> (_ @t247 @t274) (_ @t249 @t274))))) % 0.44/0.72 (assume @p141 (forall (@list @t252 @t253 @t275) (=> @t257 (=> (_ @t254 @t275) (_ @t256 @t275))))) % 0.44/0.72 (assume @p142 (forall @t218 (=> @t217 (not @t202)))) % 0.44/0.72 (assume @p143 (forall @t220 (=> @t219 (not @t208)))) % 0.44/0.72 (assume @p144 (forall @t222 (=> @t221 (not @t214)))) % 0.44/0.72 (assume @p145 (forall @t231 (= @t271 (or @t229 @t227)))) % 0.44/0.72 (assume @p146 (forall @t231 (=> @t271 (=> @t230 @t227)))) % 0.44/0.72 (assume @p147 (forall @t272 (exists (@list @t276) (_ @t228 @t276)))) % 0.44/0.72 (assume @p148 (forall @t272 (exists (@list @t277) (_ (_ tptp.ord_less_int @t277) @t224)))) % 0.44/0.72 (assume @p149 (forall @t285 (=> @t217 (=> (_ (_ tptp.ord_less_int @t284) @t232) @t283)))) % 0.44/0.72 (assume @p150 (forall @t290 (=> @t217 (=> (_ (_ tptp.ord_less_set_a @t289) @t234) @t288)))) % 0.44/0.72 (assume @p151 (forall @t295 (=> @t217 (=> (_ (_ tptp.ord_less_a_o @t294) @t236) @t293)))) % 0.44/0.72 (assume @p152 (forall @t304 (=> @t219 (=> (_ (_ tptp.ord_less_int @t303) @t232) @t302)))) % 0.44/0.72 (assume @p153 (forall @t309 (=> @t219 (=> (_ (_ tptp.ord_less_set_a @t308) @t234) @t307)))) % 0.44/0.72 (assume @p154 (forall @t314 (=> @t219 (=> (_ (_ tptp.ord_less_a_o @t313) @t236) @t312)))) % 0.44/0.72 (assume @p155 (forall @t323 (=> @t221 (=> (_ (_ tptp.ord_less_int @t322) @t232) @t321)))) % 0.44/0.72 (assume @p156 (forall @t328 (=> @t221 (=> (_ (_ tptp.ord_less_set_a @t327) @t234) @t326)))) % 0.44/0.72 (assume @p157 (forall @t333 (=> @t221 (=> (_ (_ tptp.ord_less_a_o @t332) @t236) @t331)))) % 0.44/0.72 (assume @p158 (forall @t335 (=> (_ @t216 @t284) @t334))) % 0.44/0.72 (assume @p159 (forall @t337 (=> (_ @t216 @t303) @t336))) % 0.44/0.72 (assume @p160 (forall @t339 (=> (_ @t216 @t322) @t338))) % 0.44/0.72 (assume @p161 (forall @t341 (=> (_ @t164 @t289) @t340))) % 0.44/0.72 (assume @p162 (forall @t343 (=> (_ @t164 @t308) @t342))) % 0.44/0.72 (assume @p163 (forall @t345 (=> (_ @t164 @t327) @t344))) % 0.44/0.72 (assume @p164 (forall @t347 (=> (_ @t167 @t294) @t346))) % 0.44/0.72 (assume @p165 (forall @t349 (=> (_ @t167 @t313) @t348))) % 0.44/0.72 (assume @p166 (forall @t351 (=> (_ @t167 @t332) @t350))) % 0.44/0.72 (assume @p167 (forall @t285 (=> @t217 (=> (= @t284 @t232) @t283)))) % 0.44/0.72 (assume @p168 (forall @t290 (=> @t217 (=> (= @t289 @t234) @t288)))) % 0.44/0.72 (assume @p169 (forall @t295 (=> @t217 (=> (= @t294 @t236) @t293)))) % 0.44/0.72 (assume @p170 (forall @t304 (=> @t219 (=> (= @t303 @t232) @t302)))) % 0.44/0.72 (assume @p171 (forall @t309 (=> @t219 (=> (= @t308 @t234) @t307)))) % 0.44/0.72 (assume @p172 (forall @t314 (=> @t219 (=> (= @t313 @t236) @t312)))) % 0.44/0.72 (assume @p173 (forall @t323 (=> @t221 (=> (= @t322 @t232) @t321)))) % 0.44/0.72 (assume @p174 (forall @t328 (=> @t221 (=> (= @t327 @t234) @t326)))) % 0.44/0.72 (assume @p175 (forall @t333 (=> @t221 (=> (= @t332 @t236) @t331)))) % 0.44/0.72 (assume @p176 (forall @t335 (=> (= @t198 @t284) @t334))) % 0.44/0.72 (assume @p177 (forall @t341 (=> (= @t163 @t289) @t340))) % 0.44/0.72 (assume @p178 (forall @t347 (=> (= @t166 @t294) @t346))) % 0.44/0.72 (assume @p179 (forall @t337 (=> (= @t198 @t303) @t336))) % 0.44/0.72 (assume @p180 (forall @t343 (=> (= @t163 @t308) @t342))) % 0.44/0.72 (assume @p181 (forall @t349 (=> (= @t166 @t313) @t348))) % 0.44/0.72 (assume @p182 (forall @t339 (=> (= @t198 @t322) @t338))) % 0.44/0.72 (assume @p183 (forall @t345 (=> (= @t163 @t327) @t344))) % 0.44/0.72 (assume @p184 (forall @t351 (=> (= @t166 @t332) @t350))) % 0.44/0.72 (assume @p185 (forall @t190 (= @t189 (_ (_ tptp.insert_option_a @t188) tptp.bot_bot_set_option_a)))) % 0.44/0.72 (assume @p186 (forall @t136 (= @t191 (_ (_ tptp.insert_a @t88) tptp.bot_bot_set_a)))) % 0.44/0.72 (assume @p187 (= tptp.the_a2 (_ (_ tptp.case_option_a_a tptp.undefined_a) (lambda (@list @t352) @t352)))) % 0.44/0.72 (assume @p188 (= tptp.bot_bot_a_o (lambda @t45 (_ @t44 tptp.bot_bot_set_a)))) % 0.44/0.72 (assume @p189 (forall @t94 (= @t102 (= @t90 tptp.bot_bot_a_o)))) % 0.44/0.72 (assume @p190 (forall @t101 (= @t103 (= @t96 tptp.bot_bot_option_a_o)))) % 0.44/0.72 (assume @p191 (forall @t355 (= (_ @t353 @t354) @t354))) % 0.44/0.72 (assume @p192 (forall @t358 (= (_ @t356 @t357) @t357))) % 0.44/0.72 (assume @p193 (forall @t363 (= @t362 (or @t360 @t122)))) % 0.44/0.73 (assume @p194 (forall @t367 (= @t366 (or @t364 @t124)))) % 0.44/0.73 (assume @p195 (forall @t372 (=> (=> (not @t371) @t360) @t370))) % 0.44/0.73 (assume @p196 (forall @t377 (=> (=> (not @t376) @t364) @t375))) % 0.44/0.73 (assume @p197 (forall @t119 (_ @t118 @t379))) % 0.44/0.73 (assume @p198 (forall @t121 (_ @t120 @t381))) % 0.44/0.73 (assume @p199 (forall @t121 (= (_ tptp.collect_a (lambda @t45 @t382)) @t381))) % 0.44/0.73 (assume @p200 (forall @t119 (= (_ tptp.collect_option_a (lambda @t98 @t383)) @t379))) % 0.44/0.73 (assume @p201 (forall @t121 (= (_ tptp.collect_a (_ @t386 @t4)) @t381))) % 0.44/0.73 (assume @p202 (forall @t119 (= (_ tptp.collect_option_a (_ (lambda (@list @t388 @t387) (= @t388 @t387)) @t117)) @t379))) % 0.44/0.73 (assume @p203 (forall @t391 (=> @t390 (=> (_ (_ tptp.ord_less_set_a @t373) @t389) (_ @t185 @t389))))) % 0.44/0.73 (assume @p204 (forall (@list @t104 @t368 @t113) (=> (_ @t184 @t368) (=> @t393 @t392)))) % 0.44/0.73 (assume @p205 (forall (@list @t109 @t373 @t115) (=> @t390 (=> @t395 @t394)))) % 0.44/0.73 (assume @p206 (forall @t398 (=> @t122 (exists @t397 (and (= @t104 (_ @t378 @t396)) (not (_ @t118 @t396))))))) % 0.44/0.73 (assume @p207 (forall @t401 (=> @t124 (exists @t400 (and (= @t109 (_ @t380 @t399)) (not (_ @t120 @t399))))))) % 0.44/0.73 (assume @p208 (forall (@list @t15 @t38 @t109) (= (_ @t353 (_ @t402 @t109)) (_ @t402 @t354)))) % 0.44/0.73 (assume @p209 (forall (@list @t26 @t37 @t104) (= (_ @t356 (_ @t403 @t104)) (_ @t403 @t357)))) % 0.44/0.73 (assume @p210 (forall (@list @t117 @t104 @t359 @t368) (=> @t123 (=> (not (_ @t405 @t368)) (= (= @t408 @t369) (and (=> @t360 @t407) (=> @t406 (exists (@list @t404) (and (= @t104 (_ @t361 @t404)) (not (_ @t405 @t404)) (= @t368 (_ @t378 @t404)) (not (_ @t118 @t404))))))))))) % 0.44/0.73 (assume @p211 (forall (@list @t4 @t109 @t3 @t373) (=> @t125 (=> (not (_ @t410 @t373)) (= (= @t413 @t374) (and (=> @t364 @t412) (=> @t411 (exists (@list @t409) (and (= @t109 (_ @t365 @t409)) (not (_ @t410 @t409)) (= @t373 (_ @t380 @t409)) (not (_ @t120 @t409))))))))))) % 0.44/0.73 (assume @p212 (forall @t398 (=> @t122 (= @t408 @t104)))) % 0.44/0.73 (assume @p213 (forall @t401 (=> @t124 (= @t413 @t109)))) % 0.44/0.73 (assume @p214 (forall (@list @t26 @t104 @t368) (=> (not @t414) (=> (not (_ @t30 @t368)) (= (= @t357 (_ @t356 @t368)) @t407))))) % 0.44/0.73 (assume @p215 (forall (@list @t15 @t109 @t373) (=> (not @t415) (=> (not (_ @t35 @t373)) (= (= @t354 (_ @t353 @t373)) @t412))))) % 0.44/0.73 (assume @p216 (forall @t358 (=> @t414 (not (forall @t397 (=> (= @t104 (_ @t356 @t396)) (_ @t30 @t396))))))) % 0.44/0.73 (assume @p217 (forall @t355 (=> @t415 (not (forall @t400 (=> (= @t109 (_ @t353 @t399)) (_ @t35 @t399))))))) % 0.44/0.73 (assume @p218 (forall @t372 (=> @t371 @t370))) % 0.44/0.73 (assume @p219 (forall @t377 (=> @t376 @t375))) % 0.44/0.73 (assume @p220 (forall (@list @t117 @t368) (_ @t118 @t416))) % 0.44/0.73 (assume @p221 (forall (@list @t4 @t373) (_ @t120 @t417))) % 0.44/0.73 (assume @p222 (forall @t363 (=> @t362 (=> @t406 @t122)))) % 0.44/0.73 (assume @p223 (forall @t367 (=> @t366 (=> @t411 @t124)))) % 0.44/0.73 (assume @p224 (forall @t143 (= (_ @t380 @t93) (_ tptp.collect_a (lambda (@list @t418) (=> (not (= @t418 @t4)) (_ @t90 @t418))))))) % 0.44/0.73 (assume @p225 (forall @t141 (= (_ @t378 @t100) (_ tptp.collect_option_a (lambda (@list @t419) (=> (not (= @t419 @t117)) (_ @t96 @t419))))))) % 0.44/0.73 (assume @p226 (forall @t422 (=> @t421 @t420))) % 0.44/0.73 (assume @p227 (forall @t425 (=> @t424 @t423))) % 0.44/0.73 (assume @p228 (forall @t422 (= @t421 @t420))) % 0.44/0.73 (assume @p229 (forall @t425 (= @t424 @t423))) % 0.44/0.73 (assume @p230 (forall (@list @t4 @t3 @t115 @t426) (= (= (_ @t380 @t427) (_ (_ tptp.insert_a @t115) (_ (_ tptp.insert_a @t426) tptp.bot_bot_set_a))) (or (and (= @t4 @t115) (= @t3 @t426)) (and (= @t4 @t426) (= @t3 @t115)))))) % 0.44/0.73 (assume @p231 (forall (@list @t117 @t359 @t113 @t428) (= (= (_ @t378 @t429) (_ (_ tptp.insert_option_a @t113) (_ (_ tptp.insert_option_a @t428) tptp.bot_bot_set_option_a))) (or (and (= @t117 @t113) (= @t359 @t428)) (and (= @t117 @t428) (= @t359 @t113)))))) % 0.44/0.73 (assume @p232 (forall @t401 (not (= @t413 tptp.bot_bot_set_a)))) % 0.44/0.73 (assume @p233 (forall @t398 (not (= @t408 tptp.bot_bot_set_option_a)))) % 0.44/0.73 (assume @p234 (forall (@list @t4 @t3) (=> (= @t381 @t427) @t364))) % 0.44/0.73 (assume @p235 (forall (@list @t117 @t359) (=> (= @t379 @t429) @t360))) % 0.44/0.73 (assume @p236 (forall @t432 (and (=> @t142 (= @t430 @t381)) (=> @t431 (= @t430 tptp.bot_bot_set_a))))) % 0.44/0.73 (assume @p237 (forall @t435 (and (=> @t140 (= @t433 @t379)) (=> @t434 (= @t433 tptp.bot_bot_set_option_a))))) % 0.44/0.73 (assume @p238 (forall @t432 (and (=> @t142 (= @t436 @t381)) (=> @t431 (= @t436 tptp.bot_bot_set_a))))) % 0.44/0.73 (assume @p239 (forall @t435 (and (=> @t140 (= @t437 @t379)) (=> @t434 (= @t437 tptp.bot_bot_set_option_a))))) % 0.44/0.73 (assume @p240 (forall @t439 (= (_ tptp.the_elem_a @t438) @t15))) % 0.44/0.73 (assume @p241 (forall @t71 (= (_ tptp.the_elem_option_a @t440) @t26))) % 0.44/0.73 (assume @p242 (forall @t439 (_ tptp.is_singleton_a @t438))) % 0.44/0.73 (assume @p243 (forall @t71 (_ tptp.is_sin1624444472tion_a @t440))) % 0.44/0.73 (assume @p244 (forall @t443 (= (_ tptp.these_option_a (_ (_ tptp.insert1662731738tion_a @t31) @t441)) (_ @t356 @t442)))) % 0.44/0.73 (assume @p245 (forall @t445 (= (_ tptp.these_a (_ (_ tptp.insert_option_a @t36) @t104)) (_ @t353 @t444)))) % 0.44/0.73 (assume @p246 (forall @t112 (=> @t446 (not (forall @t139 (not (= @t109 (_ (_ tptp.insert_a @t138) tptp.bot_bot_set_a)))))))) % 0.44/0.73 (assume @p247 (forall @t108 (=> @t447 (not (forall @t147 (not (= @t104 (_ (_ tptp.insert_option_a @t146) tptp.bot_bot_set_option_a)))))))) % 0.44/0.73 (assume @p248 (= (_ tptp.these_option_a tptp.bot_bo1607647958tion_a) tptp.bot_bot_set_option_a)) % 0.44/0.73 (assume @p249 (= (_ tptp.these_a tptp.bot_bot_set_option_a) tptp.bot_bot_set_a)) % 0.44/0.73 (assume @p250 (forall @t108 (= (_ tptp.these_a (_ @t448 @t104)) @t444))) % 0.44/0.73 (assume @p251 (forall @t443 (= (_ @t30 @t442) (_ (_ tptp.member553679923tion_a @t31) @t441)))) % 0.44/0.73 (assume @p252 (forall @t445 (= (_ @t35 @t444) (_ (_ tptp.member_option_a @t36) @t104)))) % 0.44/0.73 (assume @p253 (forall @t108 (=> @t129 (=> (forall (@list @t146 @t126) (=> (_ (_ tptp.member_option_a @t146) @t104) (=> @t127 (= @t146 @t126)))) @t447)))) % 0.44/0.73 (assume @p254 (forall @t112 (=> @t130 (=> (forall (@list @t138 @t72) (=> @t449 (=> @t128 (= @t138 @t72)))) @t446)))) % 0.44/0.73 (assume @p255 (forall @t454 (= (not @t453) (and (not @t452) (not @t451))))) % 0.44/0.73 (assume @p256 (forall @t458 (= (not @t457) (and (not @t456) (not @t455))))) % 0.44/0.73 (assume @p257 (forall @t454 (= @t453 (or @t452 @t451)))) % 0.44/0.73 (assume @p258 (forall @t458 (= @t457 (or @t456 @t455)))) % 0.44/0.73 (assume @p259 (= tptp.is_singleton_a (lambda @t461 (exists @t45 (= @t460 @t459))))) % 0.44/0.73 (assume @p260 (= tptp.is_sin1624444472tion_a (lambda @t464 (exists @t98 (= @t463 @t462))))) % 0.44/0.73 (assume @p261 (forall (@list @t466 @t26 @t465) (= (_ tptp.binary1117200954tion_a (_ (_ (_ tptp.binary1007279693tion_a @t466) @t26) @t465)) (_ (_ tptp.sup_sup_set_option_a (_ (_ tptp.sup_sup_set_option_a (_ tptp.binary1117200954tion_a @t466)) (_ tptp.binary1117200954tion_a @t465))) @t440)))) % 0.44/0.73 (assume @p262 (forall (@list @t12 @t15 @t14) (= (_ tptp.binary945792244etOf_a @t16) (_ (_ tptp.sup_sup_set_a (_ (_ tptp.sup_sup_set_a @t46) @t43)) @t438)))) % 0.44/0.73 (assume @p263 (forall (@list @t359 @t467 @t15 @t109) (=> (= @t359 @t470) (=> @t415 (_ @t405 @t469))))) % 0.44/0.73 (assume @p264 (forall (@list @t3 @t471 @t26 @t104) (=> (= @t3 @t474) (=> @t414 (_ @t410 @t473))))) % 0.44/0.73 (assume @p265 (forall (@list @t359 @t475 @t26 @t104) (=> @t480 (=> @t414 @t478)))) % 0.44/0.73 (assume @p266 (forall (@list @t3 @t481 @t15 @t109) (=> @t486 (=> @t415 @t484)))) % 0.44/0.73 (assume @p267 (forall (@list @t113 @t104 @t368) (= @t489 (or @t393 @t392)))) % 0.44/0.73 (assume @p268 (forall @t493 (= @t492 (or @t395 @t394)))) % 0.44/0.73 (assume @p269 (forall (@list @t113 @t368 @t104) (=> (=> (not @t392) @t393) @t489))) % 0.44/0.73 (assume @p270 (forall @t494 (=> (=> (not @t394) @t395) @t492))) % 0.44/0.73 (assume @p271 (forall (@list @t495) (= (_ (_ tptp.image_a_a (lambda @t45 @t40)) @t495) @t495))) % 0.44/0.73 (assume @p272 (forall @t496 (= (= @t483 tptp.bot_bot_set_a) @t110))) % 0.44/0.73 (assume @p273 (forall @t497 (= (= @t473 tptp.bot_bot_set_a) @t105))) % 0.44/0.73 (assume @p274 (forall @t498 (= (= @t469 tptp.bot_bot_set_option_a) @t110))) % 0.44/0.73 (assume @p275 (forall @t499 (= (= @t477 tptp.bot_bot_set_option_a) @t105))) % 0.44/0.73 (assume @p276 (forall @t496 (= (= tptp.bot_bot_set_a @t483) @t110))) % 0.44/0.73 (assume @p277 (forall @t497 (= (= tptp.bot_bot_set_a @t473) @t105))) % 0.44/0.73 (assume @p278 (forall @t498 (= (= tptp.bot_bot_set_option_a @t469) @t110))) % 0.44/0.73 (assume @p279 (forall @t499 (= (= tptp.bot_bot_set_option_a @t477) @t105))) % 0.44/0.73 (assume @p280 (forall (@list @t481) (= (_ @t482 tptp.bot_bot_set_a) tptp.bot_bot_set_a))) % 0.44/0.73 (assume @p281 (forall (@list @t467) (= (_ @t468 tptp.bot_bot_set_a) tptp.bot_bot_set_option_a))) % 0.44/0.73 (assume @p282 (forall (@list @t471) (= (_ @t472 tptp.bot_bot_set_option_a) tptp.bot_bot_set_a))) % 0.44/0.73 (assume @p283 (forall (@list @t475) (= (_ @t476 tptp.bot_bot_set_option_a) tptp.bot_bot_set_option_a))) % 0.44/0.73 (assume @p284 (forall (@list @t481 @t4 @t373) (= (_ @t482 @t417) (_ (_ tptp.insert_a (_ @t481 @t4)) (_ @t482 @t373))))) % 0.44/0.73 (assume @p285 (forall (@list @t467 @t4 @t373) (= (_ @t468 @t417) (_ (_ tptp.insert_option_a (_ @t467 @t4)) (_ @t468 @t373))))) % 0.44/0.73 (assume @p286 (forall (@list @t471 @t117 @t368) (= (_ @t472 @t416) (_ (_ tptp.insert_a (_ @t471 @t117)) (_ @t472 @t368))))) % 0.44/0.73 (assume @p287 (forall (@list @t475 @t117 @t368) (= (_ @t476 @t416) (_ (_ tptp.insert_option_a (_ @t475 @t117)) (_ @t476 @t368))))) % 0.44/0.73 (assume @p288 (forall @t500 (=> @t415 (= (_ (_ tptp.insert_a @t485) @t483) @t483)))) % 0.44/0.73 (assume @p289 (forall (@list @t15 @t109 @t467) (=> @t415 (= (_ (_ tptp.insert_option_a @t470) @t469) @t469)))) % 0.44/0.73 (assume @p290 (forall (@list @t26 @t104 @t471) (=> @t414 (= (_ (_ tptp.insert_a @t474) @t473) @t473)))) % 0.44/0.73 (assume @p291 (forall (@list @t26 @t104 @t475) (=> @t414 (= (_ (_ tptp.insert_option_a @t479) @t477) @t477)))) % 0.44/0.73 (assume @p292 (forall @t501 (= (= @t491 tptp.bot_bot_set_a) (and @t110 (= @t373 tptp.bot_bot_set_a))))) % 0.44/0.73 (assume @p293 (forall (@list @t104 @t368) (= (= @t488 tptp.bot_bot_set_option_a) (and @t105 @t456)))) % 0.44/0.73 (assume @p294 (forall (@list @t117 @t368 @t502) (= (_ (_ tptp.sup_sup_set_option_a @t416) @t502) (_ @t378 (_ (_ tptp.sup_sup_set_option_a @t368) @t502))))) % 0.44/0.73 (assume @p295 (forall (@list @t4 @t373 @t389) (= (_ (_ tptp.sup_sup_set_a @t417) @t389) (_ @t380 @t504)))) % 0.44/0.73 (assume @p296 (forall (@list @t104 @t117 @t368) (= (_ @t487 @t416) (_ @t378 @t488)))) % 0.44/0.73 (assume @p297 (forall (@list @t109 @t4 @t373) (= (_ @t490 @t417) (_ @t380 @t491)))) % 0.44/0.73 (assume @p298 (= tptp.insert_option_a (lambda (@list @t506 @t505) (_ (_ tptp.sup_sup_set_option_a (_ tptp.collect_option_a (lambda @t98 @t507))) @t505)))) % 0.44/0.73 (assume @p299 (= tptp.insert_a (lambda (@list @t509 @t508) (_ (_ tptp.sup_sup_set_a (_ tptp.collect_a (lambda @t45 @t510))) @t508)))) % 0.44/0.73 (assume @p300 (forall @t391 (= (_ @t490 @t504) (_ @t503 (_ @t490 @t389))))) % 0.44/0.73 (assume @p301 (forall @t501 (= (_ @t490 @t491) @t491))) % 0.44/0.73 (assume @p302 (forall (@list @t26 @t104 @t359 @t475) (=> @t414 (=> @t480 @t478)))) % 0.44/0.73 (assume @p303 (forall (@list @t15 @t109 @t3 @t481) (=> @t415 (=> @t486 @t484)))) % 0.44/0.73 (assume @p304 (forall @t500 (=> @t415 (_ (_ tptp.member_a @t485) @t483)))) % 0.44/0.73 (assume @p305 (forall @t494 (=> @t394 @t492))) % 0.44/0.73 (assume @p306 (forall @t493 (=> @t395 @t492))) % 0.44/0.73 (assume @p307 (forall @t493 (=> @t492 (=> (not @t395) @t394)))) % 0.44/0.73 (assume @p308 (forall (@list @t3 @t481 @t109) (=> @t484 (not (forall @t139 (=> (= @t3 (_ @t481 @t138)) (not @t449))))))) % 0.44/0.73 (assume @p309 (forall (@list @t481 @t109 @t90) (= (_ tptp.collect_a (lambda @t45 (and (_ @t44 @t483) @t91))) (_ @t482 (_ tptp.collect_a (lambda @t45 (and @t111 (_ @t90 (_ @t481 @t40))))))))) % 0.44/0.73 (assume @p310 (= tptp.sup_sup_set_a (lambda @t516 (_ tptp.collect_a (_ (_ tptp.sup_sup_a_o @t515) @t513))))) % 0.44/0.73 (assume @p311 (forall (@list @t518 @t517) (= (_ (_ tptp.sup_sup_a_o (lambda @t45 (_ @t44 @t518))) (lambda @t45 (_ @t44 @t517))) (lambda @t45 (_ @t44 (_ (_ tptp.sup_sup_set_a @t518) @t517)))))) % 0.44/0.73 (assume @p312 (forall @t112 (not (_ (_ tptp.member_option_a tptp.none_a) (_ @t519 @t109))))) % 0.44/0.73 (assume @p313 (forall @t108 (= (_ @t519 @t444) (_ tptp.collect_option_a (lambda @t98 (and @t107 @t520)))))) % 0.44/0.73 (assume @p314 (forall @t66 (= @t523 (_ (_ tptp.sup_sup_set_a (_ (_ tptp.sup_sup_set_a @t522) (_ (_ tptp.insert_a @t50) tptp.bot_bot_set_a))) @t521)))) % 0.44/0.73 (assume @p315 (forall (@list @t524 @t48 @t52 @t50) (=> (_ @t525 @t521) (_ @t525 @t523)))) % 0.44/0.73 (assume @p316 (forall (@list @t50 @t52 @t48) (_ (_ tptp.member_a @t50) @t523))) % 0.44/0.73 (assume @p317 (forall (@list @t38 @t52 @t50 @t48) (=> (_ @t39 @t522) (_ @t39 @t523)))) % 0.44/0.73 (assume @p318 (forall (@list @t193 @t530) (=> (_ @t194 (_ tptp.binary256242811Tree_a @t530)) (=> (forall (@list @t528) (=> (exists (@list @t527 @t526) @t531) (not (_ @t194 (_ tptp.binary256242811Tree_a @t528))))) (=> (forall (@list @t528 @t526) (not (= @t530 (_ (_ @t529 @t193) @t526)))) (not (forall (@list @t528 @t527 @t526) (=> @t531 (not (_ @t194 (_ tptp.binary256242811Tree_a @t526))))))))))) % 0.44/0.73 (assume @p319 (= (_ tptp.binary256242811Tree_a tptp.binary476621312_Tip_a) tptp.bot_bot_set_a)) % 0.44/0.73 (assume @p320 (forall @t439 (_ @t35 tptp.top_top_set_a))) % 0.44/0.73 (assume @p321 (not false)) % 0.44/0.73 (assume @p322 true) % 0.44/0.73 (step @p323 (= tptp.binary1691793817tion_a @t536) :rule refl :args (@t536)) % 0.44/0.73 (step @p324 (= tptp.binary670562003pred_a @t541) :rule refl :args (@t541)) % 0.44/0.73 (step @p325 (= tptp.binary2053421120memb_a @t543) :rule refl :args (@t543)) % 0.44/0.73 (step @p326 (= tptp.bot_bot_a_o @t544) :rule refl :args (@t544)) % 0.44/0.73 (step @p327 (= tptp.is_empty_a @t545) :rule refl :args (@t545)) % 0.44/0.73 (step @p328 (= tptp.is_empty_option_a @t546) :rule refl :args (@t546)) % 0.44/0.73 (step @p329 (= tptp.binary504661350_eqs_a @t547) :rule refl :args (@t547)) % 0.44/0.73 (step @p330 (= tptp.binary301690796tion_a @t549) :rule refl :args (@t549)) % 0.44/0.73 (step @p331 (= tptp.case_option_o_a @t554) :rule refl :args (@t554)) % 0.44/0.73 (step @p332 (= tptp.bot_bot_option_a_o @t555) :rule refl :args (@t555)) % 0.44/0.73 (step @p333 (= tptp.ord_le1280890064tion_a @t559) :rule refl :args (@t559)) % 0.44/0.73 (step @p334 (= tptp.ord_less_set_a @t560) :rule refl :args (@t560)) % 0.44/0.73 (step @p335 (= tptp.insert_option_a @t561) :rule refl :args (@t561)) % 0.44/0.73 (step @p336 (= tptp.insert_a @t562) :rule refl :args (@t562)) % 0.44/0.73 (step @p337 (= tptp.is_singleton_a @t563) :rule refl :args (@t563)) % 0.44/0.73 (step @p338 (= tptp.is_sin1624444472tion_a @t564) :rule refl :args (@t564)) % 0.44/0.73 (step @p339 (= tptp.the_elem_a @t566) :rule refl :args (@t566)) % 0.44/0.73 (step @p340 (= tptp.the_elem_option_a @t568) :rule refl :args (@t568)) % 0.44/0.73 (step @p341 (= tptp.these_a @t569) :rule refl :args (@t569)) % 0.44/0.73 (step @p342 (= tptp.sup_sup_set_a @t570) :rule refl :args (@t570)) % 0.44/0.73 (step @p343 :rule evaluate :args ((not true))) % 0.44/0.73 (step @p344 :rule eq-refl :args (@t6)) % 0.44/0.73 (step @p345 :rule cong :premises (@p344) :args (@t7)) % 0.44/0.73 (step @p346 :rule trans :premises (@p345 @p343)) % 0.44/0.73 (step @p347 false :rule eq_resolve :premises (@p5 @p346)) % 0.44/0.73 ) % 0.44/0.73 % SZS output end Proof % 0.44/0.73 % cvc5 exiting %------------------------------------------------------------------------------