%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP113^1 : 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 : n004.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 08:25:05 AM UTC 2026 % Result : Theorem 169.74s 170.05s % Output : Proof 169.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP113^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.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 04:14:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.58 %----Proving TH0 % 169.74/170.05 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 169.74/170.05 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 169.74/170.05 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 169.74/170.05 --- Run --ho-elim --full-saturate-quant at 18s... % 169.74/170.05 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 169.74/170.05 % SZS status Theorem % 169.74/170.05 % SZS output start Proof % 169.74/170.05 ( % 169.74/170.05 (declare-sort tptp.set_real 0) % 169.74/170.05 (declare-sort tptp.set_a 0) % 169.74/170.05 (declare-sort tptp.nat 0) % 169.74/170.05 (declare-sort tptp.a 0) % 169.74/170.05 (declare-sort tptp.product_prod_a_real 0) % 169.74/170.05 (declare-sort tptp.product_prod_nat_nat 0) % 169.74/170.05 (declare-sort tptp.produc845587165t_real 0) % 169.74/170.05 (declare-sort tptp.real 0) % 169.74/170.05 (declare-sort tptp.produc581916509al_nat 0) % 169.74/170.05 (declare-sort tptp.produc957004601l_real 0) % 169.74/170.05 (declare-sort tptp.produc792423270l_real 0) % 169.74/170.05 (declare-sort tptp.set_Pr1158285382l_real 0) % 169.74/170.05 (declare-sort tptp.extended_ereal 0) % 169.74/170.05 (declare-sort tptp.set_Pr147102617l_real 0) % 169.74/170.05 (declare-sort tptp.set_Pr1928503567a_real 0) % 169.74/170.05 (declare-sort tptp.produc1691597095_set_a 0) % 169.74/170.05 (declare-sort tptp.produc2021989178_set_a 0) % 169.74/170.05 (declare-sort tptp.produc1312517202t_real 0) % 169.74/170.05 (declare-sort tptp.produc25772804_set_a 0) % 169.74/170.05 (declare-sort tptp.produc304417648_set_a 0) % 169.74/170.05 (declare-sort tptp.produc1931999653t_real 0) % 169.74/170.05 (declare-sort tptp.produc211508562a_real 0) % 169.74/170.05 (declare-sort tptp.produc1350454001_set_a 0) % 169.74/170.05 (declare-sort tptp.produc232195311t_real 0) % 169.74/170.05 (declare-sort tptp.produc509513372a_real 0) % 169.74/170.05 (declare-const tptp.ord_less_eq_real (-> tptp.real tptp.real Bool)) % 169.74/170.05 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 169.74/170.05 (declare-const tptp.thesis Bool) % 169.74/170.05 (declare-const tptp.zero_zero_nat tptp.nat) % 169.74/170.05 (declare-const tptp.elemen1168706977e_real (-> tptp.set_real tptp.set_real)) % 169.74/170.05 (declare-const tptp.elementary_closure_a (-> tptp.set_a tptp.set_a)) % 169.74/170.05 (declare-const tptp.ord_le1586073967a_real (-> tptp.set_Pr1928503567a_real tptp.set_Pr1928503567a_real Bool)) % 169.74/170.05 (declare-const tptp.ord_less_eq_set_real (-> tptp.set_real tptp.set_real Bool)) % 169.74/170.05 (declare-const tptp.top_to1567080838real_o (-> tptp.product_prod_a_real Bool)) % 169.74/170.05 (declare-const tptp.top_top_real_o (-> tptp.real Bool)) % 169.74/170.05 (declare-const tptp.top_top_a_o (-> tptp.a Bool)) % 169.74/170.05 (declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a)) % 169.74/170.05 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 169.74/170.05 (declare-const tptp.produc150798858a_real (-> tptp.set_real tptp.set_Pr1928503567a_real tptp.produc211508562a_real)) % 169.74/170.05 (declare-const tptp.ord_le297355219_set_a (-> tptp.produc1691597095_set_a tptp.produc1691597095_set_a Bool)) % 169.74/170.05 (declare-const tptp.top_to829322572a_real tptp.produc509513372a_real) % 169.74/170.05 (declare-const tptp.member_a (-> tptp.a tptp.set_a Bool)) % 169.74/170.05 (declare-const tptp.top_to2037809826a_real tptp.produc211508562a_real) % 169.74/170.05 (declare-const tptp.member1103263856a_real (-> tptp.product_prod_a_real tptp.set_Pr1928503567a_real Bool)) % 169.74/170.05 (declare-const tptp.produc119681757t_real (-> tptp.set_real tptp.set_real tptp.produc1931999653t_real)) % 169.74/170.05 (declare-const tptp.top_to1153982881_set_a tptp.produc1350454001_set_a) % 169.74/170.05 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 169.74/170.05 (declare-const tptp.produc190993315_set_a (-> tptp.set_real tptp.set_a tptp.produc1350454001_set_a)) % 169.74/170.05 (declare-const tptp.ord_le1379034467a_real (-> tptp.set_Pr1928503567a_real tptp.set_Pr1928503567a_real Bool)) % 169.74/170.05 (declare-const tptp.top_to35724191t_real tptp.produc232195311t_real) % 169.74/170.05 (declare-const tptp.e tptp.real) % 169.74/170.05 (declare-const tptp.produc1266579561t_real (-> tptp.set_a tptp.set_real tptp.produc232195311t_real)) % 169.74/170.05 (declare-const tptp.top_top_set_real tptp.set_real) % 169.74/170.05 (declare-const tptp.x tptp.a) % 169.74/170.05 (declare-const tptp.elemen1695521870a_real (-> tptp.set_Pr1928503567a_real tptp.set_Pr1928503567a_real)) % 169.74/170.05 (declare-const tptp.produc383769494a_real (-> tptp.set_a tptp.set_Pr1928503567a_real tptp.produc509513372a_real)) % 169.74/170.05 (declare-const tptp.ord_less_set_a (-> tptp.set_a tptp.set_a Bool)) % 169.74/170.05 (declare-const tptp.top_to1477940855_set_a tptp.produc1691597095_set_a) % 169.74/170.05 (declare-const tptp.f (-> tptp.a tptp.extended_ereal)) % 169.74/170.05 (declare-const tptp.produc1928581911_set_a (-> tptp.set_a tptp.set_a tptp.produc1691597095_set_a)) % 169.74/170.05 (declare-const tptp.y tptp.real) % 169.74/170.05 (declare-const tptp.top_top_set_a tptp.set_a) % 169.74/170.05 (declare-const tptp.lower_930854854raph_a (-> tptp.set_a (-> tptp.a tptp.extended_ereal) tptp.set_Pr1928503567a_real)) % 169.74/170.05 (declare-const tptp.produc1220567734_set_a (-> tptp.set_Pr1928503567a_real tptp.set_a tptp.produc25772804_set_a)) % 169.74/170.05 (declare-const tptp.product_Pair_a_real (-> tptp.a tptp.real tptp.product_prod_a_real)) % 169.74/170.05 (declare-const tptp.real_V404783528a_real (-> tptp.product_prod_a_real tptp.product_prod_a_real tptp.real)) % 169.74/170.05 (declare-const tptp.z tptp.real) % 169.74/170.05 (declare-const tptp.top_to95743733t_real tptp.produc1931999653t_real) % 169.74/170.05 (declare-const tptp.zero_zero_real tptp.real) % 169.74/170.05 (declare-const tptp.top_to2138011583a_real tptp.set_Pr1928503567a_real) % 169.74/170.05 (declare-const tptp.top_to345582004_set_a tptp.produc25772804_set_a) % 169.74/170.05 (declare-const tptp.member1068169442l_real (-> tptp.produc957004601l_real tptp.set_Pr147102617l_real Bool)) % 169.74/170.05 (declare-const tptp.produc471223946t_real (-> tptp.set_Pr1928503567a_real tptp.set_real tptp.produc1312517202t_real)) % 169.74/170.05 (declare-const tptp.top_to991334818t_real tptp.produc1312517202t_real) % 169.74/170.05 (declare-const tptp.produc272677600_set_a (-> tptp.set_a tptp.produc1691597095_set_a tptp.produc304417648_set_a)) % 169.74/170.05 (declare-const tptp.ord_less_set_real (-> tptp.set_real tptp.set_real Bool)) % 169.74/170.05 (declare-const tptp.top_to724687040_set_a tptp.produc304417648_set_a) % 169.74/170.05 (declare-const tptp.produc1162518380_set_a (-> tptp.set_real tptp.produc1691597095_set_a tptp.produc2021989178_set_a)) % 169.74/170.05 (declare-const tptp.top_to522338794_set_a tptp.produc2021989178_set_a) % 169.74/170.05 (declare-const tptp.lower_1607476196h_real (-> tptp.set_real (-> tptp.real tptp.extended_ereal) tptp.set_Pr147102617l_real)) % 169.74/170.05 (declare-const tptp.produc705216881l_real (-> tptp.real tptp.real tptp.produc957004601l_real)) % 169.74/170.05 (declare-const tptp.lower_870348689a_real (-> tptp.set_Pr1928503567a_real (-> tptp.product_prod_a_real tptp.extended_ereal) tptp.set_Pr1158285382l_real)) % 169.74/170.05 (declare-const tptp.produc1541812501al_nat (-> tptp.real tptp.nat tptp.produc581916509al_nat)) % 169.74/170.05 (declare-const tptp.produc1214388894l_real (-> tptp.product_prod_a_real tptp.real tptp.produc792423270l_real)) % 169.74/170.05 (declare-const tptp.member565909519l_real (-> tptp.produc792423270l_real tptp.set_Pr1158285382l_real Bool)) % 169.74/170.05 (declare-const tptp.real_V1934908667t_real (-> tptp.real tptp.real tptp.real)) % 169.74/170.05 (declare-const tptp.ord_le486764743_set_a (-> tptp.produc1691597095_set_a tptp.produc1691597095_set_a Bool)) % 169.74/170.05 (declare-const tptp.real_V1514887919dist_a (-> tptp.a tptp.a tptp.real)) % 169.74/170.05 (declare-const tptp.ord_less_eq_set_a (-> tptp.set_a tptp.set_a Bool)) % 169.74/170.05 (declare-const tptp.collec1714955950a_real (-> (-> tptp.product_prod_a_real Bool) tptp.set_Pr1928503567a_real)) % 169.74/170.05 (declare-const tptp.ord_le1342644953l_real (-> tptp.produc957004601l_real tptp.produc957004601l_real Bool)) % 169.74/170.05 (declare-const tptp.ord_le1686998781al_nat (-> tptp.produc581916509al_nat tptp.produc581916509al_nat Bool)) % 169.74/170.05 (declare-const tptp.produc49576085t_real (-> tptp.nat tptp.real tptp.produc845587165t_real)) % 169.74/170.05 (declare-const tptp.ord_le1950669437t_real (-> tptp.produc845587165t_real tptp.produc845587165t_real Bool)) % 169.74/170.05 (declare-const tptp.product_Pair_nat_nat (-> tptp.nat tptp.nat tptp.product_prod_nat_nat)) % 169.74/170.05 (declare-const tptp.ord_le1302190241at_nat (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat Bool)) % 169.74/170.05 (define tptp.ord_less_real () (let ((_let_1 (@var "B3" tptp.real))) (let ((_let_2 (@var "A3" tptp.real))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_real _let_1) _let_2) (not (= _let_2 _let_1))))))) % 169.74/170.05 (define tptp.ord_less_nat () (let ((_let_1 (@var "B3" tptp.nat))) (let ((_let_2 (@var "A3" tptp.nat))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_nat _let_1) _let_2) (not (= _let_2 _let_1))))))) % 169.74/170.05 (define @t1 () (_ (_ tptp.product_Pair_a_real tptp.x) tptp.y)) % 169.74/170.05 (define @t2 () (@var "X" tptp.product_prod_a_real)) % 169.74/170.05 (define @t3 () (_ tptp.real_V404783528a_real @t2)) % 169.74/170.05 (define @t4 () (_ @t3 @t1)) % 169.74/170.05 (define @t5 () (_ tptp.lower_930854854raph_a tptp.top_top_set_a)) % 169.74/170.05 (define @t6 () (_ @t5 tptp.f)) % 169.74/170.05 (define @t7 () (_ tptp.member1103263856a_real @t2)) % 169.74/170.05 (define @t8 () (_ @t7 @t6)) % 169.74/170.05 (define @t9 () (and @t8 (_ (_ tptp.ord_less_real @t4) tptp.e))) % 169.74/170.05 (define @t10 () (@list @t2)) % 169.74/170.05 (define @t11 () (exists @t10 @t9)) % 169.74/170.05 (define @t12 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 169.74/170.05 (define @t13 () (@var "X2" tptp.product_prod_a_real)) % 169.74/170.05 (define @t14 () (_ tptp.member1103263856a_real @t13)) % 169.74/170.05 (define @t15 () (@list @t13)) % 169.74/170.05 (define @t16 () (@var "X2" tptp.real)) % 169.74/170.05 (define @t17 () (_ tptp.member_real @t16)) % 169.74/170.05 (define @t18 () (@list @t16)) % 169.74/170.05 (define @t19 () (@var "X2" tptp.a)) % 169.74/170.05 (define @t20 () (_ tptp.member_a @t19)) % 169.74/170.05 (define @t21 () (@var "Y2" tptp.set_a)) % 169.74/170.05 (define @t22 () (@var "X22" tptp.set_a)) % 169.74/170.05 (define @t23 () (@var "Y1" tptp.set_a)) % 169.74/170.05 (define @t24 () (@var "X1" tptp.set_a)) % 169.74/170.05 (define @t25 () (@var "Y2" tptp.real)) % 169.74/170.05 (define @t26 () (@var "X22" tptp.real)) % 169.74/170.05 (define @t27 () (@var "Y1" tptp.a)) % 169.74/170.05 (define @t28 () (@var "X1" tptp.a)) % 169.74/170.05 (define @t29 () (@var "B2" tptp.set_a)) % 169.74/170.05 (define @t30 () (@var "B" tptp.set_a)) % 169.74/170.05 (define @t31 () (= @t30 @t29)) % 169.74/170.05 (define @t32 () (@var "A2" tptp.set_a)) % 169.74/170.05 (define @t33 () (@var "A" tptp.set_a)) % 169.74/170.05 (define @t34 () (= @t33 @t32)) % 169.74/170.05 (define @t35 () (_ (_ tptp.produc1928581911_set_a @t33) @t30)) % 169.74/170.05 (define @t36 () (= @t35 (_ (_ tptp.produc1928581911_set_a @t32) @t29))) % 169.74/170.05 (define @t37 () (@list @t33 @t30 @t32 @t29)) % 169.74/170.05 (define @t38 () (@var "B2" tptp.real)) % 169.74/170.05 (define @t39 () (@var "B" tptp.real)) % 169.74/170.05 (define @t40 () (= @t39 @t38)) % 169.74/170.05 (define @t41 () (@var "A2" tptp.a)) % 169.74/170.05 (define @t42 () (@var "A" tptp.a)) % 169.74/170.05 (define @t43 () (= @t42 @t41)) % 169.74/170.05 (define @t44 () (= (_ (_ tptp.product_Pair_a_real @t42) @t39) (_ (_ tptp.product_Pair_a_real @t41) @t38))) % 169.74/170.05 (define @t45 () (@list @t42 @t39 @t41 @t38)) % 169.74/170.05 (define @t46 () (@var "E" tptp.real)) % 169.74/170.05 (define @t47 () (@var "Y" tptp.product_prod_a_real)) % 169.74/170.05 (define @t48 () (_ tptp.real_V404783528a_real @t13)) % 169.74/170.05 (define @t49 () (_ @t48 @t47)) % 169.74/170.05 (define @t50 () (_ tptp.ord_less_real @t49)) % 169.74/170.05 (define @t51 () (_ tptp.real_V404783528a_real @t47)) % 169.74/170.05 (define @t52 () (@list @t33)) % 169.74/170.05 (define @t53 () (@var "A" tptp.set_real)) % 169.74/170.05 (define @t54 () (@list @t53)) % 169.74/170.05 (define @t55 () (@var "A" tptp.set_Pr1928503567a_real)) % 169.74/170.05 (define @t56 () (@list @t55)) % 169.74/170.05 (define @t57 () (@var "A" tptp.produc1691597095_set_a)) % 169.74/170.05 (define @t58 () (@list @t57)) % 169.74/170.05 (define @t59 () (= @t33 tptp.top_top_set_a)) % 169.74/170.05 (define @t60 () (= @t53 tptp.top_top_set_real)) % 169.74/170.05 (define @t61 () (= @t55 tptp.top_to2138011583a_real)) % 169.74/170.05 (define @t62 () (= @t57 tptp.top_to1477940855_set_a)) % 169.74/170.05 (define @t63 () (@var "F" (-> tptp.real tptp.extended_ereal))) % 169.74/170.05 (define @t64 () (_ (_ tptp.lower_1607476196h_real tptp.top_top_set_real) @t63)) % 169.74/170.05 (define @t65 () (@var "Z" tptp.real)) % 169.74/170.05 (define @t66 () (_ tptp.produc705216881l_real @t16)) % 169.74/170.05 (define @t67 () (@var "Y" tptp.real)) % 169.74/170.05 (define @t68 () (_ tptp.ord_less_eq_real @t67)) % 169.74/170.05 (define @t69 () (_ @t68 @t65)) % 169.74/170.05 (define @t70 () (_ @t66 @t67)) % 169.74/170.05 (define @t71 () (@var "F" (-> tptp.product_prod_a_real tptp.extended_ereal))) % 169.74/170.05 (define @t72 () (_ (_ tptp.lower_870348689a_real tptp.top_to2138011583a_real) @t71)) % 169.74/170.05 (define @t73 () (_ tptp.produc1214388894l_real @t13)) % 169.74/170.05 (define @t74 () (@var "F" (-> tptp.a tptp.extended_ereal))) % 169.74/170.05 (define @t75 () (_ @t5 @t74)) % 169.74/170.05 (define @t76 () (_ tptp.product_Pair_a_real @t19)) % 169.74/170.05 (define @t77 () (@var "X3" tptp.real)) % 169.74/170.05 (define @t78 () (@var "S" tptp.set_real)) % 169.74/170.05 (define @t79 () (_ tptp.member_real @t77)) % 169.74/170.05 (define @t80 () (@list @t77)) % 169.74/170.05 (define @t81 () (= @t16 @t67)) % 169.74/170.05 (define @t82 () (@var "X3" tptp.a)) % 169.74/170.05 (define @t83 () (@var "Y" tptp.a)) % 169.74/170.05 (define @t84 () (@var "S" tptp.set_a)) % 169.74/170.05 (define @t85 () (_ tptp.member_a @t82)) % 169.74/170.05 (define @t86 () (@list @t82)) % 169.74/170.05 (define @t87 () (@var "X3" tptp.product_prod_a_real)) % 169.74/170.05 (define @t88 () (@var "S" tptp.set_Pr1928503567a_real)) % 169.74/170.05 (define @t89 () (_ tptp.member1103263856a_real @t87)) % 169.74/170.05 (define @t90 () (@list @t87)) % 169.74/170.05 (define @t91 () (= @t13 @t47)) % 169.74/170.05 (define @t92 () (_ tptp.ord_less_eq_real @t16)) % 169.74/170.05 (define @t93 () (@var "X2" tptp.nat)) % 169.74/170.05 (define @t94 () (_ tptp.ord_less_eq_nat @t93)) % 169.74/170.05 (define @t95 () (@list @t93)) % 169.74/170.05 (define @t96 () (@var "D" tptp.set_a)) % 169.74/170.05 (define @t97 () (@var "C" tptp.set_a)) % 169.74/170.05 (define @t98 () (_ tptp.ord_less_eq_set_a @t33)) % 169.74/170.05 (define @t99 () (@var "D" tptp.real)) % 169.74/170.05 (define @t100 () (_ tptp.ord_less_eq_real @t39)) % 169.74/170.05 (define @t101 () (_ @t100 @t99)) % 169.74/170.05 (define @t102 () (@var "C" tptp.real)) % 169.74/170.05 (define @t103 () (@var "A" tptp.real)) % 169.74/170.05 (define @t104 () (_ tptp.ord_less_eq_real @t103)) % 169.74/170.05 (define @t105 () (_ @t104 @t102)) % 169.74/170.05 (define @t106 () (@var "D" tptp.nat)) % 169.74/170.05 (define @t107 () (@var "B" tptp.nat)) % 169.74/170.05 (define @t108 () (_ tptp.ord_less_eq_nat @t107)) % 169.74/170.05 (define @t109 () (_ @t108 @t106)) % 169.74/170.05 (define @t110 () (@var "C" tptp.nat)) % 169.74/170.05 (define @t111 () (@var "A" tptp.nat)) % 169.74/170.05 (define @t112 () (_ tptp.ord_less_eq_nat @t111)) % 169.74/170.05 (define @t113 () (_ @t112 @t110)) % 169.74/170.05 (define @t114 () (@list @t13 @t47)) % 169.74/170.05 (define @t115 () (not @t91)) % 169.74/170.05 (define @t116 () (_ @t12 @t49)) % 169.74/170.05 (define @t117 () (@var "F" (-> tptp.real tptp.real))) % 169.74/170.05 (define @t118 () (_ @t117 @t102)) % 169.74/170.05 (define @t119 () (@var "Y3" tptp.real)) % 169.74/170.05 (define @t120 () (_ @t117 @t119)) % 169.74/170.05 (define @t121 () (@var "X" tptp.real)) % 169.74/170.05 (define @t122 () (_ @t117 @t121)) % 169.74/170.05 (define @t123 () (_ tptp.ord_less_eq_real @t121)) % 169.74/170.05 (define @t124 () (_ @t123 @t119)) % 169.74/170.05 (define @t125 () (@list @t121 @t119)) % 169.74/170.05 (define @t126 () (forall @t125 (=> @t124 (_ (_ tptp.ord_less_eq_real @t122) @t120)))) % 169.74/170.05 (define @t127 () (_ @t100 @t102)) % 169.74/170.05 (define @t128 () (=> @t127 (=> @t126 (_ @t104 @t118)))) % 169.74/170.05 (define @t129 () (_ @t117 @t39)) % 169.74/170.05 (define @t130 () (_ @t104 @t129)) % 169.74/170.05 (define @t131 () (@list @t103 @t117 @t39 @t102)) % 169.74/170.05 (define @t132 () (@var "F" (-> tptp.nat tptp.real))) % 169.74/170.05 (define @t133 () (_ @t132 @t110)) % 169.74/170.05 (define @t134 () (@var "Y3" tptp.nat)) % 169.74/170.05 (define @t135 () (_ @t132 @t134)) % 169.74/170.05 (define @t136 () (@var "X" tptp.nat)) % 169.74/170.05 (define @t137 () (_ @t132 @t136)) % 169.74/170.05 (define @t138 () (_ (_ tptp.ord_less_eq_nat @t136) @t134)) % 169.74/170.05 (define @t139 () (@list @t136 @t134)) % 169.74/170.05 (define @t140 () (forall @t139 (=> @t138 (_ (_ tptp.ord_less_eq_real @t137) @t135)))) % 169.74/170.05 (define @t141 () (_ @t108 @t110)) % 169.74/170.05 (define @t142 () (=> @t141 (=> @t140 (_ @t104 @t133)))) % 169.74/170.05 (define @t143 () (_ @t132 @t107)) % 169.74/170.05 (define @t144 () (_ @t104 @t143)) % 169.74/170.05 (define @t145 () (@list @t103 @t132 @t107 @t110)) % 169.74/170.05 (define @t146 () (@var "F" (-> tptp.real tptp.nat))) % 169.74/170.05 (define @t147 () (_ @t146 @t102)) % 169.74/170.05 (define @t148 () (_ @t146 @t119)) % 169.74/170.05 (define @t149 () (_ @t146 @t121)) % 169.74/170.05 (define @t150 () (forall @t125 (=> @t124 (_ (_ tptp.ord_less_eq_nat @t149) @t148)))) % 169.74/170.05 (define @t151 () (=> @t127 (=> @t150 (_ @t112 @t147)))) % 169.74/170.05 (define @t152 () (_ @t146 @t39)) % 169.74/170.05 (define @t153 () (_ @t112 @t152)) % 169.74/170.05 (define @t154 () (@list @t111 @t146 @t39 @t102)) % 169.74/170.05 (define @t155 () (@var "F" (-> tptp.nat tptp.nat))) % 169.74/170.05 (define @t156 () (_ @t155 @t110)) % 169.74/170.05 (define @t157 () (_ @t155 @t134)) % 169.74/170.05 (define @t158 () (_ @t155 @t136)) % 169.74/170.05 (define @t159 () (forall @t139 (=> @t138 (_ (_ tptp.ord_less_eq_nat @t158) @t157)))) % 169.74/170.05 (define @t160 () (=> @t141 (=> @t159 (_ @t112 @t156)))) % 169.74/170.05 (define @t161 () (_ @t155 @t107)) % 169.74/170.05 (define @t162 () (_ @t112 @t161)) % 169.74/170.05 (define @t163 () (@list @t111 @t155 @t107 @t110)) % 169.74/170.05 (define @t164 () (_ @t117 @t103)) % 169.74/170.05 (define @t165 () (=> @t126 (_ (_ tptp.ord_less_eq_real @t164) @t102))) % 169.74/170.05 (define @t166 () (_ (_ tptp.ord_less_eq_real @t129) @t102)) % 169.74/170.05 (define @t167 () (_ @t104 @t39)) % 169.74/170.05 (define @t168 () (@list @t103 @t39 @t117 @t102)) % 169.74/170.05 (define @t169 () (_ @t146 @t103)) % 169.74/170.05 (define @t170 () (=> @t150 (_ (_ tptp.ord_less_eq_nat @t169) @t110))) % 169.74/170.05 (define @t171 () (_ (_ tptp.ord_less_eq_nat @t152) @t110)) % 169.74/170.05 (define @t172 () (@list @t103 @t39 @t146 @t110)) % 169.74/170.05 (define @t173 () (_ @t132 @t111)) % 169.74/170.05 (define @t174 () (=> @t140 (_ (_ tptp.ord_less_eq_real @t173) @t102))) % 169.74/170.05 (define @t175 () (_ (_ tptp.ord_less_eq_real @t143) @t102)) % 169.74/170.05 (define @t176 () (_ @t112 @t107)) % 169.74/170.05 (define @t177 () (@list @t111 @t107 @t132 @t102)) % 169.74/170.05 (define @t178 () (_ @t155 @t111)) % 169.74/170.05 (define @t179 () (=> @t159 (_ (_ tptp.ord_less_eq_nat @t178) @t110))) % 169.74/170.05 (define @t180 () (_ (_ tptp.ord_less_eq_nat @t161) @t110)) % 169.74/170.05 (define @t181 () (@list @t111 @t107 @t155 @t110)) % 169.74/170.05 (define @t182 () (@var "Y4" tptp.set_a)) % 169.74/170.05 (define @t183 () (@var "X4" tptp.set_a)) % 169.74/170.05 (define @t184 () (@var "Y" tptp.set_a)) % 169.74/170.05 (define @t185 () (@var "X2" tptp.set_a)) % 169.74/170.05 (define @t186 () (@var "Y4" tptp.real)) % 169.74/170.05 (define @t187 () (@var "X4" tptp.real)) % 169.74/170.05 (define @t188 () (_ @t68 @t186)) % 169.74/170.05 (define @t189 () (_ @t92 @t187)) % 169.74/170.05 (define @t190 () (@var "Y4" tptp.nat)) % 169.74/170.05 (define @t191 () (@var "Y" tptp.nat)) % 169.74/170.05 (define @t192 () (_ tptp.ord_less_eq_nat @t191)) % 169.74/170.05 (define @t193 () (_ @t192 @t190)) % 169.74/170.05 (define @t194 () (@var "X4" tptp.nat)) % 169.74/170.05 (define @t195 () (_ @t94 @t194)) % 169.74/170.05 (define @t196 () (= @t103 @t129)) % 169.74/170.05 (define @t197 () (= @t111 @t152)) % 169.74/170.05 (define @t198 () (= @t103 @t143)) % 169.74/170.05 (define @t199 () (= @t111 @t161)) % 169.74/170.05 (define @t200 () (= @t129 @t102)) % 169.74/170.05 (define @t201 () (= @t152 @t110)) % 169.74/170.05 (define @t202 () (= @t143 @t102)) % 169.74/170.05 (define @t203 () (= @t161 @t110)) % 169.74/170.05 (define @t204 () (@var "Y6" tptp.real)) % 169.74/170.05 (define @t205 () (_ (_ tptp.ord_less_eq_real @t204) @t77)) % 169.74/170.05 (define @t206 () (_ (_ tptp.ord_less_eq_real @t77) @t204)) % 169.74/170.05 (define @t207 () (@list @t77 @t204)) % 169.74/170.05 (define @t208 () (@var "Z2" tptp.real)) % 169.74/170.05 (define @t209 () (@var "Y5" tptp.real)) % 169.74/170.05 (define @t210 () (lambda (@list @t209 @t208) (= @t209 @t208))) % 169.74/170.05 (define @t211 () (@var "X3" tptp.nat)) % 169.74/170.05 (define @t212 () (@var "Y6" tptp.nat)) % 169.74/170.05 (define @t213 () (_ (_ tptp.ord_less_eq_nat @t212) @t211)) % 169.74/170.05 (define @t214 () (_ (_ tptp.ord_less_eq_nat @t211) @t212)) % 169.74/170.05 (define @t215 () (@list @t211 @t212)) % 169.74/170.05 (define @t216 () (@var "Z2" tptp.nat)) % 169.74/170.05 (define @t217 () (@var "Y5" tptp.nat)) % 169.74/170.05 (define @t218 () (lambda (@list @t217 @t216) (= @t217 @t216))) % 169.74/170.05 (define @t219 () (_ @t68 @t16)) % 169.74/170.05 (define @t220 () (_ @t92 @t67)) % 169.74/170.05 (define @t221 () (@list @t16 @t67)) % 169.74/170.05 (define @t222 () (= @t93 @t191)) % 169.74/170.05 (define @t223 () (_ @t192 @t93)) % 169.74/170.05 (define @t224 () (_ @t94 @t191)) % 169.74/170.05 (define @t225 () (@list @t93 @t191)) % 169.74/170.05 (define @t226 () (not @t220)) % 169.74/170.05 (define @t227 () (not @t224)) % 169.74/170.05 (define @t228 () (=> @t127 @t105)) % 169.74/170.05 (define @t229 () (@list @t103 @t39 @t102)) % 169.74/170.05 (define @t230 () (=> @t141 @t113)) % 169.74/170.05 (define @t231 () (@list @t111 @t107 @t110)) % 169.74/170.05 (define @t232 () (_ tptp.ord_less_eq_real @t65)) % 169.74/170.05 (define @t233 () (_ @t232 @t16)) % 169.74/170.05 (define @t234 () (not @t219)) % 169.74/170.05 (define @t235 () (_ @t232 @t67)) % 169.74/170.05 (define @t236 () (_ @t92 @t65)) % 169.74/170.05 (define @t237 () (@list @t16 @t67 @t65)) % 169.74/170.05 (define @t238 () (@var "Z" tptp.nat)) % 169.74/170.05 (define @t239 () (_ tptp.ord_less_eq_nat @t238)) % 169.74/170.05 (define @t240 () (_ @t239 @t93)) % 169.74/170.05 (define @t241 () (_ @t192 @t238)) % 169.74/170.05 (define @t242 () (not @t223)) % 169.74/170.05 (define @t243 () (_ @t239 @t191)) % 169.74/170.05 (define @t244 () (_ @t94 @t238)) % 169.74/170.05 (define @t245 () (@list @t93 @t191 @t238)) % 169.74/170.05 (define @t246 () (= @t220 @t81)) % 169.74/170.05 (define @t247 () (@list @t67 @t16)) % 169.74/170.05 (define @t248 () (= @t224 @t222)) % 169.74/170.05 (define @t249 () (@list @t191 @t93)) % 169.74/170.05 (define @t250 () (@var "A3" tptp.real)) % 169.74/170.05 (define @t251 () (@var "B3" tptp.real)) % 169.74/170.05 (define @t252 () (_ (_ tptp.ord_less_eq_real @t251) @t250)) % 169.74/170.05 (define @t253 () (_ (_ tptp.ord_less_eq_real @t250) @t251)) % 169.74/170.05 (define @t254 () (@list @t250 @t251)) % 169.74/170.05 (define @t255 () (@var "A3" tptp.nat)) % 169.74/170.05 (define @t256 () (@var "B3" tptp.nat)) % 169.74/170.05 (define @t257 () (_ (_ tptp.ord_less_eq_nat @t256) @t255)) % 169.74/170.05 (define @t258 () (_ (_ tptp.ord_less_eq_nat @t255) @t256)) % 169.74/170.05 (define @t259 () (@list @t255 @t256)) % 169.74/170.05 (define @t260 () (= @t103 @t39)) % 169.74/170.05 (define @t261 () (= @t111 @t107)) % 169.74/170.05 (define @t262 () (= @t39 @t102)) % 169.74/170.05 (define @t263 () (= @t107 @t110)) % 169.74/170.05 (define @t264 () (_ @t100 @t103)) % 169.74/170.05 (define @t265 () (@list @t103 @t39)) % 169.74/170.05 (define @t266 () (_ @t108 @t111)) % 169.74/170.05 (define @t267 () (@list @t111 @t107)) % 169.74/170.05 (define @t268 () (@list @t103)) % 169.74/170.05 (define @t269 () (@list @t111)) % 169.74/170.05 (define @t270 () (@var "P" (-> tptp.real tptp.real Bool))) % 169.74/170.05 (define @t271 () (@var "B4" tptp.real)) % 169.74/170.05 (define @t272 () (@var "A4" tptp.real)) % 169.74/170.05 (define @t273 () (_ @t270 @t272)) % 169.74/170.05 (define @t274 () (_ @t273 @t271)) % 169.74/170.05 (define @t275 () (@list @t272 @t271)) % 169.74/170.05 (define @t276 () (=> (forall @t275 (=> (_ (_ @t270 @t271) @t272) @t274)) (_ (_ @t270 @t103) @t39))) % 169.74/170.05 (define @t277 () (@list @t270 @t103 @t39)) % 169.74/170.05 (define @t278 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 169.74/170.05 (define @t279 () (@var "B4" tptp.nat)) % 169.74/170.05 (define @t280 () (@var "A4" tptp.nat)) % 169.74/170.05 (define @t281 () (_ @t278 @t280)) % 169.74/170.05 (define @t282 () (_ @t281 @t279)) % 169.74/170.05 (define @t283 () (@list @t280 @t279)) % 169.74/170.05 (define @t284 () (=> (forall @t283 (=> (_ (_ @t278 @t279) @t280) @t282)) (_ (_ @t278 @t111) @t107))) % 169.74/170.05 (define @t285 () (@list @t278 @t111 @t107)) % 169.74/170.05 (define @t286 () (_ tptp.ord_less_eq_real @t102)) % 169.74/170.05 (define @t287 () (_ @t286 @t39)) % 169.74/170.05 (define @t288 () (@list @t39 @t103 @t102)) % 169.74/170.05 (define @t289 () (_ tptp.ord_less_eq_nat @t110)) % 169.74/170.05 (define @t290 () (_ @t289 @t107)) % 169.74/170.05 (define @t291 () (@list @t107 @t111 @t110)) % 169.74/170.05 (define @t292 () (@var "A" tptp.product_prod_a_real)) % 169.74/170.05 (define @t293 () (@var "P" (-> tptp.product_prod_a_real Bool))) % 169.74/170.05 (define @t294 () (@var "P" (-> tptp.real Bool))) % 169.74/170.05 (define @t295 () (@var "P" (-> tptp.a Bool))) % 169.74/170.05 (define @t296 () (@var "A5" tptp.set_Pr1928503567a_real)) % 169.74/170.05 (define @t297 () (@list @t296)) % 169.74/170.05 (define @t298 () (@var "A5" tptp.set_real)) % 169.74/170.05 (define @t299 () (@list @t298)) % 169.74/170.05 (define @t300 () (@var "A5" tptp.set_a)) % 169.74/170.05 (define @t301 () (@list @t300)) % 169.74/170.05 (define @t302 () (@list @t39 @t103)) % 169.74/170.05 (define @t303 () (@list @t107 @t111)) % 169.74/170.05 (define @t304 () (_ tptp.collect_a tptp.top_top_a_o)) % 169.74/170.05 (define @t305 () (_ tptp.ord_less_real @t103)) % 169.74/170.05 (define @t306 () (_ @t305 @t39)) % 169.74/170.05 (define @t307 () (not @t260)) % 169.74/170.05 (define @t308 () (_ tptp.ord_less_nat @t111)) % 169.74/170.05 (define @t309 () (_ @t308 @t107)) % 169.74/170.05 (define @t310 () (not @t261)) % 169.74/170.05 (define @t311 () (_ tptp.ord_less_real @t39)) % 169.74/170.05 (define @t312 () (_ @t311 @t103)) % 169.74/170.05 (define @t313 () (_ tptp.ord_less_nat @t107)) % 169.74/170.05 (define @t314 () (_ @t313 @t111)) % 169.74/170.05 (define @t315 () (= @t250 @t251)) % 169.74/170.05 (define @t316 () (@list @t251 @t250)) % 169.74/170.05 (define @t317 () (= @t255 @t256)) % 169.74/170.05 (define @t318 () (@list @t256 @t255)) % 169.74/170.05 (define @t319 () (@var "W" tptp.real)) % 169.74/170.05 (define @t320 () (_ tptp.ord_less_real @t319)) % 169.74/170.05 (define @t321 () (_ tptp.ord_less_real @t16)) % 169.74/170.05 (define @t322 () (@list @t319)) % 169.74/170.05 (define @t323 () (_ @t321 @t67)) % 169.74/170.05 (define @t324 () (_ tptp.ord_less_real @t65)) % 169.74/170.05 (define @t325 () (_ tptp.ord_less_real @t102)) % 169.74/170.05 (define @t326 () (_ @t325 @t103)) % 169.74/170.05 (define @t327 () (_ tptp.ord_less_nat @t110)) % 169.74/170.05 (define @t328 () (_ @t327 @t111)) % 169.74/170.05 (define @t329 () (=> (_ @t325 @t39) @t326)) % 169.74/170.05 (define @t330 () (=> (_ @t327 @t107) @t328)) % 169.74/170.05 (define @t331 () (not @t315)) % 169.74/170.05 (define @t332 () (not @t317)) % 169.74/170.05 (define @t333 () (_ @t305 @t102)) % 169.74/170.05 (define @t334 () (_ @t308 @t110)) % 169.74/170.05 (define @t335 () (_ @t311 @t102)) % 169.74/170.05 (define @t336 () (=> @t335 @t333)) % 169.74/170.05 (define @t337 () (_ @t313 @t110)) % 169.74/170.05 (define @t338 () (=> @t337 @t334)) % 169.74/170.05 (define @t339 () (_ tptp.ord_less_nat @t93)) % 169.74/170.05 (define @t340 () (_ @t339 @t191)) % 169.74/170.05 (define @t341 () (_ tptp.ord_less_real @t67)) % 169.74/170.05 (define @t342 () (_ @t341 @t16)) % 169.74/170.05 (define @t343 () (_ tptp.ord_less_nat @t191)) % 169.74/170.05 (define @t344 () (_ @t343 @t93)) % 169.74/170.05 (define @t345 () (_ tptp.ord_less_real @t121)) % 169.74/170.05 (define @t346 () (@list @t121)) % 169.74/170.05 (define @t347 () (_ @t321 @t65)) % 169.74/170.05 (define @t348 () (_ @t339 @t238)) % 169.74/170.05 (define @t349 () (=> (_ @t341 @t65) @t347)) % 169.74/170.05 (define @t350 () (=> (_ @t343 @t238) @t348)) % 169.74/170.05 (define @t351 () (not @t323)) % 169.74/170.05 (define @t352 () (= @t351 @t81)) % 169.74/170.05 (define @t353 () (not @t340)) % 169.74/170.05 (define @t354 () (= @t353 @t222)) % 169.74/170.05 (define @t355 () (_ (_ tptp.ord_less_real @t164) @t102)) % 169.74/170.05 (define @t356 () (_ @t345 @t119)) % 169.74/170.05 (define @t357 () (forall @t125 (=> @t356 (_ (_ tptp.ord_less_real @t122) @t120)))) % 169.74/170.05 (define @t358 () (=> @t357 @t355)) % 169.74/170.05 (define @t359 () (_ (_ tptp.ord_less_real @t173) @t102)) % 169.74/170.05 (define @t360 () (_ (_ tptp.ord_less_nat @t136) @t134)) % 169.74/170.05 (define @t361 () (forall @t139 (=> @t360 (_ (_ tptp.ord_less_real @t137) @t135)))) % 169.74/170.05 (define @t362 () (=> @t361 @t359)) % 169.74/170.05 (define @t363 () (_ (_ tptp.ord_less_nat @t169) @t110)) % 169.74/170.05 (define @t364 () (forall @t125 (=> @t356 (_ (_ tptp.ord_less_nat @t149) @t148)))) % 169.74/170.05 (define @t365 () (=> @t364 @t363)) % 169.74/170.05 (define @t366 () (_ (_ tptp.ord_less_nat @t178) @t110)) % 169.74/170.05 (define @t367 () (forall @t139 (=> @t360 (_ (_ tptp.ord_less_nat @t158) @t157)))) % 169.74/170.05 (define @t368 () (=> @t367 @t366)) % 169.74/170.05 (define @t369 () (_ @t305 @t118)) % 169.74/170.05 (define @t370 () (_ @t305 @t129)) % 169.74/170.05 (define @t371 () (_ @t308 @t147)) % 169.74/170.05 (define @t372 () (_ @t308 @t152)) % 169.74/170.05 (define @t373 () (_ @t305 @t133)) % 169.74/170.05 (define @t374 () (_ @t305 @t143)) % 169.74/170.05 (define @t375 () (_ @t308 @t156)) % 169.74/170.05 (define @t376 () (_ @t308 @t161)) % 169.74/170.05 (define @t377 () (_ (_ tptp.ord_less_real @t129) @t102)) % 169.74/170.05 (define @t378 () (_ (_ tptp.ord_less_nat @t152) @t110)) % 169.74/170.05 (define @t379 () (_ (_ tptp.ord_less_real @t143) @t102)) % 169.74/170.05 (define @t380 () (_ (_ tptp.ord_less_nat @t161) @t110)) % 169.74/170.05 (define @t381 () (=> @t335 (=> @t357 @t369))) % 169.74/170.05 (define @t382 () (=> @t337 (=> @t361 @t373))) % 169.74/170.05 (define @t383 () (=> @t335 (=> @t364 @t371))) % 169.74/170.05 (define @t384 () (=> @t337 (=> @t367 @t375))) % 169.74/170.05 (define @t385 () (= @t77 @t204)) % 169.74/170.05 (define @t386 () (= @t211 @t212)) % 169.74/170.05 (define @t387 () (_ (_ tptp.ord_less_eq_set_a tptp.top_top_set_a) @t33)) % 169.74/170.05 (define @t388 () (_ (_ tptp.ord_less_eq_set_real tptp.top_top_set_real) @t53)) % 169.74/170.05 (define @t389 () (_ (_ tptp.ord_le1586073967a_real tptp.top_to2138011583a_real) @t55)) % 169.74/170.05 (define @t390 () (_ (_ tptp.ord_le486764743_set_a tptp.top_to1477940855_set_a) @t57)) % 169.74/170.05 (define @t391 () (@var "M" tptp.nat)) % 169.74/170.05 (define @t392 () (@var "P3" (-> tptp.nat Bool))) % 169.74/170.05 (define @t393 () (@var "N" tptp.nat)) % 169.74/170.05 (define @t394 () (_ (_ tptp.ord_less_nat @t391) @t393)) % 169.74/170.05 (define @t395 () (@var "X5" tptp.nat)) % 169.74/170.05 (define @t396 () (@var "P2" (-> tptp.nat Bool))) % 169.74/170.05 (define @t397 () (not @t342)) % 169.74/170.05 (define @t398 () (not @t344)) % 169.74/170.05 (define @t399 () (not @t81)) % 169.74/170.05 (define @t400 () (not @t222)) % 169.74/170.05 (define @t401 () (@var "P" Bool)) % 169.74/170.05 (define @t402 () (@var "P" (-> tptp.nat Bool))) % 169.74/170.05 (define @t403 () (_ @t402 @t136)) % 169.74/170.05 (define @t404 () (@var "Y7" tptp.nat)) % 169.74/170.05 (define @t405 () (_ @t402 @t404)) % 169.74/170.05 (define @t406 () (@list @t404)) % 169.74/170.05 (define @t407 () (@list @t136)) % 169.74/170.05 (define @t408 () (@var "Z3" tptp.real)) % 169.74/170.05 (define @t409 () (@var "X_1" tptp.real)) % 169.74/170.05 (define @t410 () (@var "X_1" tptp.nat)) % 169.74/170.05 (define @t411 () (@list @t119)) % 169.74/170.05 (define @t412 () (@var "Prod" tptp.product_prod_a_real)) % 169.74/170.05 (define @t413 () (@var "A4" tptp.a)) % 169.74/170.05 (define @t414 () (_ (_ tptp.product_Pair_a_real @t413) @t271)) % 169.74/170.05 (define @t415 () (@list @t413 @t271)) % 169.74/170.05 (define @t416 () (forall @t415 (_ @t293 @t414))) % 169.74/170.05 (define @t417 () (@var "Prod" tptp.produc1691597095_set_a)) % 169.74/170.05 (define @t418 () (@var "P" (-> tptp.produc1691597095_set_a Bool))) % 169.74/170.05 (define @t419 () (@var "B4" tptp.set_a)) % 169.74/170.05 (define @t420 () (@var "A4" tptp.set_a)) % 169.74/170.05 (define @t421 () (_ (_ tptp.produc1928581911_set_a @t420) @t419)) % 169.74/170.05 (define @t422 () (@list @t420 @t419)) % 169.74/170.05 (define @t423 () (forall @t422 (_ @t418 @t421))) % 169.74/170.05 (define @t424 () (= @t47 @t414)) % 169.74/170.05 (define @t425 () (not @t424)) % 169.74/170.05 (define @t426 () (forall @t415 @t425)) % 169.74/170.05 (define @t427 () (not @t426)) % 169.74/170.05 (define @t428 () (@list @t47)) % 169.74/170.05 (define @t429 () (forall @t428 @t427)) % 169.74/170.05 (define @t430 () (@var "Y" tptp.produc1691597095_set_a)) % 169.74/170.05 (define @t431 () (@var "P4" tptp.product_prod_a_real)) % 169.74/170.05 (define @t432 () (@var "P4" tptp.produc1691597095_set_a)) % 169.74/170.05 (define @t433 () (@var "X" tptp.a)) % 169.74/170.05 (define @t434 () (@var "Y3" tptp.set_a)) % 169.74/170.05 (define @t435 () (@var "X" tptp.set_a)) % 169.74/170.05 (define @t436 () (_ tptp.member_a @t433)) % 169.74/170.05 (define @t437 () (@list @t433)) % 169.74/170.05 (define @t438 () (_ tptp.member_real @t121)) % 169.74/170.05 (define @t439 () (@var "Y6" tptp.product_prod_a_real)) % 169.74/170.05 (define @t440 () (= tptp.real_V404783528a_real (lambda (@list @t87 @t439) (_ (_ tptp.real_V404783528a_real @t439) @t87)))) % 169.74/170.05 (define @t441 () (@var "E2" tptp.real)) % 169.74/170.05 (define @t442 () (@var "S2" tptp.set_real)) % 169.74/170.05 (define @t443 () (_ @t12 @t441)) % 169.74/170.05 (define @t444 () (@list @t441)) % 169.74/170.05 (define @t445 () (@var "S2" tptp.set_a)) % 169.74/170.05 (define @t446 () (@var "S2" tptp.set_Pr1928503567a_real)) % 169.74/170.05 (define @t447 () (@var "N2" tptp.nat)) % 169.74/170.05 (define @t448 () (= @t447 tptp.zero_zero_nat)) % 169.74/170.05 (define @t449 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 169.74/170.05 (define @t450 () (_ @t449 @t447)) % 169.74/170.05 (define @t451 () (@list @t447)) % 169.74/170.05 (define @t452 () (_ tptp.ord_less_eq_nat @t447)) % 169.74/170.05 (define @t453 () (@var "M2" tptp.nat)) % 169.74/170.05 (define @t454 () (@var "E" (-> tptp.nat tptp.real))) % 169.74/170.05 (define @t455 () (_ @t454 @t453)) % 169.74/170.05 (define @t456 () (@var "N4" tptp.nat)) % 169.74/170.05 (define @t457 () (@var "D" (-> tptp.nat tptp.real))) % 169.74/170.05 (define @t458 () (_ tptp.ord_less_eq_nat @t453)) % 169.74/170.05 (define @t459 () (@var "N3" tptp.nat)) % 169.74/170.05 (define @t460 () (_ @t454 @t459)) % 169.74/170.05 (define @t461 () (_ @t458 @t459)) % 169.74/170.05 (define @t462 () (@list @t459)) % 169.74/170.05 (define @t463 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 169.74/170.05 (define @t464 () (not @t448)) % 169.74/170.05 (define @t465 () (_ tptp.ord_less_nat @t447)) % 169.74/170.05 (define @t466 () (= @t111 tptp.zero_zero_nat)) % 169.74/170.05 (define @t467 () (_ (_ tptp.ord_less_nat @t453) @t447)) % 169.74/170.05 (define @t468 () (@list @t453 @t447)) % 169.74/170.05 (define @t469 () (_ @t402 @t447)) % 169.74/170.05 (define @t470 () (@var "M3" tptp.nat)) % 169.74/170.05 (define @t471 () (_ @t402 @t470)) % 169.74/170.05 (define @t472 () (_ (_ tptp.ord_less_nat @t470) @t459)) % 169.74/170.05 (define @t473 () (@list @t470)) % 169.74/170.05 (define @t474 () (_ @t402 @t459)) % 169.74/170.05 (define @t475 () (=> (not @t474) (exists @t473 (and @t472 (not @t471))))) % 169.74/170.05 (define @t476 () (_ @t402 tptp.zero_zero_nat)) % 169.74/170.05 (define @t477 () (@list @t402 @t447)) % 169.74/170.05 (define @t478 () (_ @t112 tptp.zero_zero_nat)) % 169.74/170.05 (define @t479 () (@var "J" tptp.nat)) % 169.74/170.05 (define @t480 () (@var "I" tptp.nat)) % 169.74/170.05 (define @t481 () (_ tptp.ord_less_eq_nat @t480)) % 169.74/170.05 (define @t482 () (_ @t481 @t479)) % 169.74/170.05 (define @t483 () (@var "J2" tptp.nat)) % 169.74/170.05 (define @t484 () (@var "I2" tptp.nat)) % 169.74/170.05 (define @t485 () (= @t453 @t447)) % 169.74/170.05 (define @t486 () (not @t485)) % 169.74/170.05 (define @t487 () (_ @t458 @t447)) % 169.74/170.05 (define @t488 () (@var "K" tptp.nat)) % 169.74/170.05 (define @t489 () (= @t391 @t393)) % 169.74/170.05 (define @t490 () (@list @t391 @t393)) % 169.74/170.05 (define @t491 () (@var "K2" tptp.nat)) % 169.74/170.05 (define @t492 () (_ @t402 @t491)) % 169.74/170.05 (define @t493 () (@var "I3" tptp.nat)) % 169.74/170.05 (define @t494 () (_ @t402 @t493)) % 169.74/170.05 (define @t495 () (@list @t493)) % 169.74/170.05 (define @t496 () (_ (_ tptp.ord_less_eq_nat @t491) @t447)) % 169.74/170.05 (define @t497 () (@list @t491)) % 169.74/170.05 (define @t498 () (_ @t452 @t453)) % 169.74/170.05 (define @t499 () (@var "T" tptp.nat)) % 169.74/170.05 (define @t500 () (@var "S" tptp.nat)) % 169.74/170.05 (define @t501 () (_ @t465 @t453)) % 169.74/170.05 (define @t502 () (@var "Z4" tptp.real)) % 169.74/170.05 (define @t503 () (forall @t346 (=> (_ @t438 @t442) (_ @t123 @t502)))) % 169.74/170.05 (define @t504 () (@list @t502)) % 169.74/170.05 (define @t505 () (@var "X6" tptp.real)) % 169.74/170.05 (define @t506 () (_ (_ tptp.member_real @t505) @t442)) % 169.74/170.05 (define @t507 () (@list @t505)) % 169.74/170.05 (define @t508 () (@var "B5" tptp.real)) % 169.74/170.05 (define @t509 () (@var "A6" tptp.a)) % 169.74/170.05 (define @t510 () (_ (_ tptp.product_Pair_a_real @t509) @t508)) % 169.74/170.05 (define @t511 () (_ (_ tptp.real_V404783528a_real @t510) @t1)) % 169.74/170.05 (define @t512 () (_ (_ tptp.member1103263856a_real @t510) @t6)) % 169.74/170.05 (define @t513 () (and @t512 (_ (_ tptp.ord_less_real @t511) tptp.e))) % 169.74/170.05 (define @t514 () (=> @t513 tptp.thesis)) % 169.74/170.05 (define @t515 () (@list @t509 @t508)) % 169.74/170.05 (define @t516 () (forall @t515 @t514)) % 169.74/170.05 (define @t517 () (lambda @t316 (and @t252 @t331))) % 169.74/170.05 (define @t518 () (lambda @t318 (and @t257 @t332))) % 169.74/170.05 (define @t519 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.real tptp.product_prod_a_real)))) % 169.74/170.05 (define @t520 () (@const 1 (-> (@ho-elim-sort (-> tptp.a tptp.real tptp.product_prod_a_real)) tptp.a (@ho-elim-sort (-> tptp.real tptp.product_prod_a_real))))) % 169.74/170.05 (define @t521 () (@const 2 (-> (@ho-elim-sort (-> tptp.real tptp.product_prod_a_real)) tptp.real tptp.product_prod_a_real))) % 169.74/170.05 (define @t522 () (_ @t521 (_ @t520 @t519 tptp.x) tptp.y)) % 169.74/170.05 (define @t523 () (@const 3 (@ho-elim-sort (-> tptp.product_prod_a_real tptp.product_prod_a_real tptp.real)))) % 169.74/170.05 (define @t524 () (@const 4 (-> (@ho-elim-sort (-> tptp.product_prod_a_real tptp.product_prod_a_real tptp.real)) tptp.product_prod_a_real (@ho-elim-sort (-> tptp.product_prod_a_real tptp.real))))) % 169.74/170.05 (define @t525 () (@const 5 (-> (@ho-elim-sort (-> tptp.product_prod_a_real tptp.real)) tptp.product_prod_a_real tptp.real))) % 169.74/170.05 (define @t526 () (_ @t525 (_ @t524 @t523 @t2) @t522)) % 169.74/170.05 (define @t527 () (@const 6 (@ho-elim-sort (-> tptp.real tptp.real Bool)))) % 169.74/170.05 (define @t528 () (@const 7 (-> (@ho-elim-sort (-> tptp.real tptp.real Bool)) tptp.real (@ho-elim-sort (-> tptp.real Bool))))) % 169.74/170.05 (define @t529 () (@const 8 (-> (@ho-elim-sort (-> tptp.real Bool)) tptp.real Bool))) % 169.74/170.05 (define @t530 () (_ (@const 15 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.extended_ereal)) tptp.set_Pr1928503567a_real)) (@ho-elim-sort (-> tptp.a tptp.extended_ereal)) tptp.set_Pr1928503567a_real)) (_ (@const 14 (-> (@ho-elim-sort (-> tptp.set_a (@ho-elim-sort (-> tptp.a tptp.extended_ereal)) tptp.set_Pr1928503567a_real)) tptp.set_a (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.extended_ereal)) tptp.set_Pr1928503567a_real)))) (@const 13 (@ho-elim-sort (-> tptp.set_a (@ho-elim-sort (-> tptp.a tptp.extended_ereal)) tptp.set_Pr1928503567a_real))) (_ (@const 12 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.set_a)) (@ho-elim-sort (-> tptp.a Bool)) tptp.set_a)) (@const 11 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.set_a))) (@const 10 (@ho-elim-sort (-> tptp.a Bool))))) (@const 9 (@ho-elim-sort (-> tptp.a tptp.extended_ereal))))) % 169.74/170.05 (define @t531 () (@const 16 (@ho-elim-sort (-> tptp.product_prod_a_real tptp.set_Pr1928503567a_real Bool)))) % 169.74/170.05 (define @t532 () (@const 17 (-> (@ho-elim-sort (-> tptp.product_prod_a_real tptp.set_Pr1928503567a_real Bool)) tptp.product_prod_a_real (@ho-elim-sort (-> tptp.set_Pr1928503567a_real Bool))))) % 169.74/170.05 (define @t533 () (@const 18 (-> (@ho-elim-sort (-> tptp.set_Pr1928503567a_real Bool)) tptp.set_Pr1928503567a_real Bool))) % 169.74/170.05 (define @t534 () (forall @t10 (or (not (_ @t533 (_ @t532 @t531 @t2) @t530)) (not (_ @t529 (_ @t528 @t527 @t526) tptp.e)) (= tptp.e @t526)))) % 169.74/170.05 (define @t535 () (tptp.product_Pair_a_real tptp.x tptp.y)) % 169.74/170.05 (define @t536 () (tptp.real_V404783528a_real @t2 @t535)) % 169.74/170.05 (define @t537 () (= tptp.e @t536)) % 169.74/170.05 (define @t538 () (tptp.ord_less_eq_real @t536 tptp.e)) % 169.74/170.05 (define @t539 () (not @t538)) % 169.74/170.05 (define @t540 () (tptp.collect_a tptp.top_top_a_o)) % 169.74/170.05 (define @t541 () (tptp.lower_930854854raph_a @t540 tptp.f)) % 169.74/170.05 (define @t542 () (tptp.lower_930854854raph_a @t304 tptp.f)) % 169.74/170.05 (define @t543 () (tptp.member1103263856a_real @t2 @t542)) % 169.74/170.05 (define @t544 () (not @t543)) % 169.74/170.05 (define @t545 () (or @t544 @t539 @t537)) % 169.74/170.05 (define @t546 () (forall @t10 @t545)) % 169.74/170.05 (define @t547 () (tptp.lower_930854854raph_a tptp.top_top_set_a tptp.f)) % 169.74/170.05 (define @t548 () (tptp.member1103263856a_real @t2 @t547)) % 169.74/170.05 (define @t549 () (not @t548)) % 169.74/170.05 (define @t550 () (or @t549 @t539 @t537)) % 169.74/170.05 (define @t551 () (forall @t10 @t550)) % 169.74/170.05 (define @t552 () (= tptp.e @t4)) % 169.74/170.05 (define @t553 () (_ tptp.ord_less_eq_real @t4)) % 169.74/170.05 (define @t554 () (_ @t553 tptp.e)) % 169.74/170.05 (define @t555 () (not @t554)) % 169.74/170.05 (define @t556 () (not @t8)) % 169.74/170.05 (define @t557 () (or @t556 @t555 @t552)) % 169.74/170.05 (define @t558 () (not @t552)) % 169.74/170.05 (define @t559 () (not @t558)) % 169.74/170.05 (define @t560 () (or @t556 @t555 @t559)) % 169.74/170.05 (define @t561 () (and @t554 @t558)) % 169.74/170.05 (define @t562 () (and @t8 @t554 @t558)) % 169.74/170.05 (define @t563 () (forall @t10 (not @t562))) % 169.74/170.05 (define @t564 () (not @t563)) % 169.74/170.05 (define @t565 () (not (= @t4 tptp.e))) % 169.74/170.05 (define @t566 () (and @t554 @t565)) % 169.74/170.05 (define @t567 () (_ @t553 @t250)) % 169.74/170.05 (define @t568 () (@list @t250)) % 169.74/170.05 (define @t569 () (not (= @t250 @t4))) % 169.74/170.05 (define @t570 () (and @t567 @t569)) % 169.74/170.05 (define @t571 () (lambda @t568 @t570)) % 169.74/170.05 (define @t572 () (_ @t517 @t4)) % 169.74/170.05 (define @t573 () (and @t8 (_ @t572 tptp.e))) % 169.74/170.05 (define @t574 () (@quantifiers_skolemize @t534 0)) % 169.74/170.05 (define @t575 () (_ @t533 (_ @t532 @t531 @t574) @t530)) % 169.74/170.05 (define @t576 () (_ @t525 (_ @t524 @t523 @t574) @t522)) % 169.74/170.05 (define @t577 () (= tptp.e @t576)) % 169.74/170.05 (define @t578 () (_ @t529 (_ @t528 @t527 @t576) tptp.e)) % 169.74/170.05 (define @t579 () (not @t578)) % 169.74/170.05 (define @t580 () (not @t575)) % 169.74/170.05 (define @t581 () (or @t580 @t579 @t577)) % 169.74/170.05 (define @t582 () (@list true)) % 169.74/170.05 (define @t583 () (@list @t581)) % 169.74/170.05 (define @t584 () (_ @t521 (_ @t520 @t519 @t413) @t271)) % 169.74/170.05 (define @t585 () (forall @t428 (not (forall @t415 (not (= @t47 @t584)))))) % 169.74/170.05 (define @t586 () (tptp.product_Pair_a_real @t413 @t271)) % 169.74/170.05 (define @t587 () (not (= @t574 @t584))) % 169.74/170.05 (define @t588 () (forall @t415 @t587)) % 169.74/170.05 (define @t589 () (not @t588)) % 169.74/170.05 (define @t590 () (forall @t415 (not (= @t584 @t574)))) % 169.74/170.05 (define @t591 () (not @t590)) % 169.74/170.05 (define @t592 () (@quantifiers_skolemize @t590 1)) % 169.74/170.05 (define @t593 () (@quantifiers_skolemize @t590 0)) % 169.74/170.05 (define @t594 () (_ @t521 (_ @t520 @t519 @t593) @t592)) % 169.74/170.05 (define @t595 () (= @t574 @t594)) % 169.74/170.05 (define @t596 () (= @t594 @t574)) % 169.74/170.05 (define @t597 () (not (not @t596))) % 169.74/170.05 (define @t598 () (_ @t532 @t531 @t594)) % 169.74/170.05 (define @t599 () (_ @t533 @t598 @t530)) % 169.74/170.05 (define @t600 () (_ @t521 (_ @t520 @t519 @t509) @t508)) % 169.74/170.05 (define @t601 () (_ @t525 (_ @t524 @t523 @t600) @t522)) % 169.74/170.05 (define @t602 () (tptp.product_Pair_a_real @t509 @t508)) % 169.74/170.05 (define @t603 () (tptp.real_V404783528a_real @t602 @t535)) % 169.74/170.05 (define @t604 () (= tptp.e @t603)) % 169.74/170.05 (define @t605 () (tptp.ord_less_eq_real @t603 tptp.e)) % 169.74/170.05 (define @t606 () (not @t605)) % 169.74/170.05 (define @t607 () (tptp.member1103263856a_real @t602 @t542)) % 169.74/170.05 (define @t608 () (not @t607)) % 169.74/170.05 (define @t609 () (or @t608 @t606 @t604)) % 169.74/170.05 (define @t610 () (forall @t515 @t609)) % 169.74/170.05 (define @t611 () (tptp.member1103263856a_real @t602 @t547)) % 169.74/170.05 (define @t612 () (not @t611)) % 169.74/170.05 (define @t613 () (or @t612 @t606 @t604)) % 169.74/170.05 (define @t614 () (forall @t515 @t613)) % 169.74/170.05 (define @t615 () (= tptp.e @t511)) % 169.74/170.05 (define @t616 () (_ tptp.ord_less_eq_real @t511)) % 169.74/170.05 (define @t617 () (_ @t616 tptp.e)) % 169.74/170.05 (define @t618 () (not @t617)) % 169.74/170.05 (define @t619 () (not @t512)) % 169.74/170.05 (define @t620 () (or @t619 @t618 @t615)) % 169.74/170.05 (define @t621 () (forall @t515 @t620)) % 169.74/170.05 (define @t622 () (or tptp.thesis @t621)) % 169.74/170.05 (define @t623 () (or tptp.thesis @t620)) % 169.74/170.05 (define @t624 () (or @t619 @t618 @t615 tptp.thesis)) % 169.74/170.05 (define @t625 () (not @t615)) % 169.74/170.05 (define @t626 () (not @t625)) % 169.74/170.05 (define @t627 () (or @t619 @t618 @t626)) % 169.74/170.05 (define @t628 () (and @t617 @t625)) % 169.74/170.05 (define @t629 () (and @t512 @t617 @t625)) % 169.74/170.05 (define @t630 () (lambda @t568 (and (_ @t616 @t250) (not (= @t250 @t511))))) % 169.74/170.05 (define @t631 () (_ @t517 @t511)) % 169.74/170.05 (define @t632 () (and @t512 (_ @t631 tptp.e))) % 169.74/170.05 (define @t633 () (=> @t632 tptp.thesis)) % 169.74/170.05 (define @t634 () (@const 19 (@ho-elim-sort (-> tptp.product_prod_a_real tptp.product_prod_a_real tptp.real)))) % 169.74/170.05 (define @t635 () (= tptp.real_V404783528a_real (@const 20 (-> tptp.product_prod_a_real tptp.product_prod_a_real tptp.real)))) % 169.74/170.05 (define @t636 () (_ @t524 @t634 @t574)) % 169.74/170.05 (define @t637 () (_ @t524 @t523 @t594)) % 169.74/170.05 (define @t638 () (_ @t525 @t637 @t522)) % 169.74/170.05 (define @t639 () (= tptp.e @t638)) % 169.74/170.05 (define @t640 () (_ @t528 @t527 @t638)) % 169.74/170.05 (define @t641 () (_ @t529 @t640 tptp.e)) % 169.74/170.05 (define @t642 () (not @t641)) % 169.74/170.05 (define @t643 () (not @t599)) % 169.74/170.05 (define @t644 () (or @t643 @t642 @t639)) % 169.74/170.05 (assume @p1 @t11) % 169.74/170.05 (assume @p2 (_ @t12 tptp.e)) % 169.74/170.05 (assume @p3 (and (_ (_ tptp.member1103263856a_real @t1) (_ tptp.elemen1695521870a_real @t6)) (_ (_ tptp.ord_less_eq_real tptp.y) tptp.z))) % 169.74/170.05 (assume @p4 (forall @t15 (_ @t14 tptp.top_to2138011583a_real))) % 169.74/170.05 (assume @p5 (forall @t18 (_ @t17 tptp.top_top_set_real))) % 169.74/170.05 (assume @p6 (forall (@list @t19) (_ @t20 tptp.top_top_set_a))) % 169.74/170.05 (assume @p7 (forall (@list @t24 @t22 @t23 @t21) (= (= (_ (_ tptp.produc1928581911_set_a @t24) @t22) (_ (_ tptp.produc1928581911_set_a @t23) @t21)) (and (= @t24 @t23) (= @t22 @t21))))) % 169.74/170.05 (assume @p8 (forall (@list @t28 @t26 @t27 @t25) (= (= (_ (_ tptp.product_Pair_a_real @t28) @t26) (_ (_ tptp.product_Pair_a_real @t27) @t25)) (and (= @t28 @t27) (= @t26 @t25))))) % 169.74/170.05 (assume @p9 (forall @t37 (= @t36 (and @t34 @t31)))) % 169.74/170.05 (assume @p10 (forall @t45 (= @t44 (and @t43 @t40)))) % 169.74/170.05 (assume @p11 (forall (@list @t47 @t13 @t46) (=> (_ (_ tptp.ord_less_real (_ @t51 @t13)) @t46) (_ @t50 @t46)))) % 169.74/170.05 (assume @p12 (= tptp.top_to1477940855_set_a (_ (_ tptp.produc1928581911_set_a tptp.top_top_set_a) tptp.top_top_set_a))) % 169.74/170.05 (assume @p13 (= tptp.top_to35724191t_real (_ (_ tptp.produc1266579561t_real tptp.top_top_set_a) tptp.top_top_set_real))) % 169.74/170.05 (assume @p14 (= tptp.top_to1153982881_set_a (_ (_ tptp.produc190993315_set_a tptp.top_top_set_real) tptp.top_top_set_a))) % 169.74/170.05 (assume @p15 (= tptp.top_to95743733t_real (_ (_ tptp.produc119681757t_real tptp.top_top_set_real) tptp.top_top_set_real))) % 169.74/170.05 (assume @p16 (= tptp.top_to829322572a_real (_ (_ tptp.produc383769494a_real tptp.top_top_set_a) tptp.top_to2138011583a_real))) % 169.74/170.05 (assume @p17 (= tptp.top_to2037809826a_real (_ (_ tptp.produc150798858a_real tptp.top_top_set_real) tptp.top_to2138011583a_real))) % 169.74/170.05 (assume @p18 (= tptp.top_to345582004_set_a (_ (_ tptp.produc1220567734_set_a tptp.top_to2138011583a_real) tptp.top_top_set_a))) % 169.74/170.05 (assume @p19 (= tptp.top_to991334818t_real (_ (_ tptp.produc471223946t_real tptp.top_to2138011583a_real) tptp.top_top_set_real))) % 169.74/170.05 (assume @p20 (= tptp.top_to724687040_set_a (_ (_ tptp.produc272677600_set_a tptp.top_top_set_a) tptp.top_to1477940855_set_a))) % 169.74/170.05 (assume @p21 (= tptp.top_to522338794_set_a (_ (_ tptp.produc1162518380_set_a tptp.top_top_set_real) tptp.top_to1477940855_set_a))) % 169.74/170.05 (assume @p22 (forall @t52 (not (_ (_ tptp.ord_less_set_a tptp.top_top_set_a) @t33)))) % 169.74/170.05 (assume @p23 (forall @t54 (not (_ (_ tptp.ord_less_set_real tptp.top_top_set_real) @t53)))) % 169.74/170.05 (assume @p24 (forall @t56 (not (_ (_ tptp.ord_le1379034467a_real tptp.top_to2138011583a_real) @t55)))) % 169.74/170.05 (assume @p25 (forall @t58 (not (_ (_ tptp.ord_le297355219_set_a tptp.top_to1477940855_set_a) @t57)))) % 169.74/170.05 (assume @p26 (forall @t52 (= (not @t59) (_ (_ tptp.ord_less_set_a @t33) tptp.top_top_set_a)))) % 169.74/170.05 (assume @p27 (forall @t54 (= (not @t60) (_ (_ tptp.ord_less_set_real @t53) tptp.top_top_set_real)))) % 169.74/170.05 (assume @p28 (forall @t56 (= (not @t61) (_ (_ tptp.ord_le1379034467a_real @t55) tptp.top_to2138011583a_real)))) % 169.74/170.05 (assume @p29 (forall @t58 (= (not @t62) (_ (_ tptp.ord_le297355219_set_a @t57) tptp.top_to1477940855_set_a)))) % 169.74/170.05 (assume @p30 (forall (@list @t16 @t67 @t63 @t65) (=> (and (_ (_ tptp.member1068169442l_real @t70) @t64) @t69) (_ (_ tptp.member1068169442l_real (_ @t66 @t65)) @t64)))) % 169.74/170.05 (assume @p31 (forall (@list @t13 @t67 @t71 @t65) (=> (and (_ (_ tptp.member565909519l_real (_ @t73 @t67)) @t72) @t69) (_ (_ tptp.member565909519l_real (_ @t73 @t65)) @t72)))) % 169.74/170.05 (assume @p32 (forall (@list @t19 @t67 @t74 @t65) (=> (and (_ (_ tptp.member1103263856a_real (_ @t76 @t67)) @t75) @t69) (_ (_ tptp.member1103263856a_real (_ @t76 @t65)) @t75)))) % 169.74/170.05 (assume @p33 (forall (@list @t16 @t78 @t67) (=> (_ @t17 @t78) (=> (_ (_ tptp.member_real @t67) @t78) (= @t81 (forall @t80 (=> (_ @t79 @t78) (= (_ (_ tptp.real_V1934908667t_real @t16) @t77) (_ (_ tptp.real_V1934908667t_real @t67) @t77))))))))) % 169.74/170.05 (assume @p34 (forall (@list @t19 @t84 @t83) (=> (_ @t20 @t84) (=> (_ (_ tptp.member_a @t83) @t84) (= (= @t19 @t83) (forall @t86 (=> (_ @t85 @t84) (= (_ (_ tptp.real_V1514887919dist_a @t19) @t82) (_ (_ tptp.real_V1514887919dist_a @t83) @t82))))))))) % 169.74/170.05 (assume @p35 (forall (@list @t13 @t88 @t47) (=> (_ @t14 @t88) (=> (_ (_ tptp.member1103263856a_real @t47) @t88) (= @t91 (forall @t90 (=> (_ @t89 @t88) (= (_ @t48 @t87) (_ @t51 @t87))))))))) % 169.74/170.05 (assume @p36 (forall @t18 (_ @t92 @t16))) % 169.74/170.05 (assume @p37 (forall @t95 (_ @t94 @t93))) % 169.74/170.05 (assume @p38 (forall (@list @t33 @t30 @t97 @t96) (= (_ (_ tptp.ord_le486764743_set_a @t35) (_ (_ tptp.produc1928581911_set_a @t97) @t96)) (and (_ @t98 @t97) (_ (_ tptp.ord_less_eq_set_a @t30) @t96))))) % 169.74/170.05 (assume @p39 (forall (@list @t103 @t39 @t102 @t99) (= (_ (_ tptp.ord_le1342644953l_real (_ (_ tptp.produc705216881l_real @t103) @t39)) (_ (_ tptp.produc705216881l_real @t102) @t99)) (and @t105 @t101)))) % 169.74/170.05 (assume @p40 (forall (@list @t103 @t107 @t102 @t106) (= (_ (_ tptp.ord_le1686998781al_nat (_ (_ tptp.produc1541812501al_nat @t103) @t107)) (_ (_ tptp.produc1541812501al_nat @t102) @t106)) (and @t105 @t109)))) % 169.74/170.05 (assume @p41 (forall (@list @t111 @t39 @t110 @t99) (= (_ (_ tptp.ord_le1950669437t_real (_ (_ tptp.produc49576085t_real @t111) @t39)) (_ (_ tptp.produc49576085t_real @t110) @t99)) (and @t113 @t101)))) % 169.74/170.05 (assume @p42 (forall (@list @t111 @t107 @t110 @t106) (= (_ (_ tptp.ord_le1302190241at_nat (_ (_ tptp.product_Pair_nat_nat @t111) @t107)) (_ (_ tptp.product_Pair_nat_nat @t110) @t106)) (and @t113 @t109)))) % 169.74/170.05 (assume @p43 (forall @t114 (= (= @t49 tptp.zero_zero_real) @t91))) % 169.74/170.05 (assume @p44 (forall @t15 (= (_ @t48 @t13) tptp.zero_zero_real))) % 169.74/170.05 (assume @p45 (forall @t114 (= (_ (_ tptp.ord_less_eq_real @t49) tptp.zero_zero_real) @t91))) % 169.74/170.05 (assume @p46 (forall @t114 (= @t116 @t115))) % 169.74/170.05 (assume @p47 (forall @t131 (=> @t130 @t128))) % 169.74/170.05 (assume @p48 (forall @t145 (=> @t144 @t142))) % 169.74/170.05 (assume @p49 (forall @t154 (=> @t153 @t151))) % 169.74/170.05 (assume @p50 (forall @t163 (=> @t162 @t160))) % 169.74/170.05 (assume @p51 (forall @t168 (=> @t167 (=> @t166 @t165)))) % 169.74/170.05 (assume @p52 (forall @t172 (=> @t167 (=> @t171 @t170)))) % 169.74/170.05 (assume @p53 (forall @t177 (=> @t176 (=> @t175 @t174)))) % 169.74/170.05 (assume @p54 (forall @t181 (=> @t176 (=> @t180 @t179)))) % 169.74/170.05 (assume @p55 (forall (@list @t185 @t183 @t184 @t182) (=> (_ (_ tptp.ord_less_eq_set_a @t185) @t183) (=> (_ (_ tptp.ord_less_eq_set_a @t184) @t182) (_ (_ tptp.ord_le486764743_set_a (_ (_ tptp.produc1928581911_set_a @t185) @t184)) (_ (_ tptp.produc1928581911_set_a @t183) @t182)))))) % 169.74/170.05 (assume @p56 (forall (@list @t16 @t187 @t67 @t186) (=> @t189 (=> @t188 (_ (_ tptp.ord_le1342644953l_real @t70) (_ (_ tptp.produc705216881l_real @t187) @t186)))))) % 169.74/170.05 (assume @p57 (forall (@list @t16 @t187 @t191 @t190) (=> @t189 (=> @t193 (_ (_ tptp.ord_le1686998781al_nat (_ (_ tptp.produc1541812501al_nat @t16) @t191)) (_ (_ tptp.produc1541812501al_nat @t187) @t190)))))) % 169.74/170.05 (assume @p58 (forall (@list @t93 @t194 @t67 @t186) (=> @t195 (=> @t188 (_ (_ tptp.ord_le1950669437t_real (_ (_ tptp.produc49576085t_real @t93) @t67)) (_ (_ tptp.produc49576085t_real @t194) @t186)))))) % 169.74/170.05 (assume @p59 (forall (@list @t93 @t194 @t191 @t190) (=> @t195 (=> @t193 (_ (_ tptp.ord_le1302190241at_nat (_ (_ tptp.product_Pair_nat_nat @t93) @t191)) (_ (_ tptp.product_Pair_nat_nat @t194) @t190)))))) % 169.74/170.05 (assume @p60 (forall @t131 (=> @t196 @t128))) % 169.74/170.05 (assume @p61 (forall @t154 (=> @t197 @t151))) % 169.74/170.05 (assume @p62 (forall @t145 (=> @t198 @t142))) % 169.74/170.05 (assume @p63 (forall @t163 (=> @t199 @t160))) % 169.74/170.05 (assume @p64 (forall @t168 (=> @t167 (=> @t200 @t165)))) % 169.74/170.05 (assume @p65 (forall @t172 (=> @t167 (=> @t201 @t170)))) % 169.74/170.05 (assume @p66 (forall @t177 (=> @t176 (=> @t202 @t174)))) % 169.74/170.05 (assume @p67 (forall @t181 (=> @t176 (=> @t203 @t179)))) % 169.74/170.05 (assume @p68 (= @t210 (lambda @t207 (and @t206 @t205)))) % 169.74/170.05 (assume @p69 (= @t218 (lambda @t215 (and @t214 @t213)))) % 169.74/170.05 (assume @p70 (forall @t221 (=> @t220 (=> @t219 @t81)))) % 169.74/170.05 (assume @p71 (forall @t225 (=> @t224 (=> @t223 @t222)))) % 169.74/170.05 (assume @p72 (forall @t221 (or @t220 @t219))) % 169.74/170.05 (assume @p73 (forall @t225 (or @t224 @t223))) % 169.74/170.05 (assume @p74 (forall @t221 (=> @t81 @t220))) % 169.74/170.05 (assume @p75 (forall @t225 (=> @t222 @t224))) % 169.74/170.05 (assume @p76 (forall @t221 (=> @t226 @t219))) % 169.74/170.05 (assume @p77 (forall @t225 (=> @t227 @t223))) % 169.74/170.05 (assume @p78 (forall @t229 (=> @t167 @t228))) % 169.74/170.05 (assume @p79 (forall @t231 (=> @t176 @t230))) % 169.74/170.05 (assume @p80 (forall @t237 (=> (=> @t220 (not @t69)) (=> (=> @t219 (not @t236)) (=> (=> @t236 (not @t235)) (=> (=> @t235 @t234) (=> (=> @t69 (not @t233)) (not (=> @t233 @t226))))))))) % 169.74/170.05 (assume @p81 (forall @t245 (=> (=> @t224 (not @t241)) (=> (=> @t223 (not @t244)) (=> (=> @t244 (not @t243)) (=> (=> @t243 @t242) (=> (=> @t241 (not @t240)) (not (=> @t240 @t227))))))))) % 169.74/170.05 (assume @p82 (forall @t247 (=> @t219 @t246))) % 169.74/170.05 (assume @p83 (forall @t249 (=> @t223 @t248))) % 169.74/170.05 (assume @p84 (= @t210 (lambda @t254 (and @t253 @t252)))) % 169.74/170.05 (assume @p85 (= @t218 (lambda @t259 (and @t258 @t257)))) % 169.74/170.05 (assume @p86 (forall @t229 (=> @t260 @t228))) % 169.74/170.05 (assume @p87 (forall @t231 (=> @t261 @t230))) % 169.74/170.05 (assume @p88 (forall @t229 (=> @t167 (=> @t262 @t105)))) % 169.74/170.05 (assume @p89 (forall @t231 (=> @t176 (=> @t263 @t113)))) % 169.74/170.05 (assume @p90 (forall @t265 (=> @t167 (=> @t264 @t260)))) % 169.74/170.05 (assume @p91 (forall @t267 (=> @t176 (=> @t266 @t261)))) % 169.74/170.05 (assume @p92 (forall @t237 (=> @t220 (=> @t69 @t236)))) % 169.74/170.05 (assume @p93 (forall @t245 (=> @t224 (=> @t241 @t244)))) % 169.74/170.05 (assume @p94 (forall @t268 (_ @t104 @t103))) % 169.74/170.05 (assume @p95 (forall @t269 (_ @t112 @t111))) % 169.74/170.05 (assume @p96 (forall @t277 (=> (forall @t275 (=> (_ (_ tptp.ord_less_eq_real @t272) @t271) @t274)) @t276))) % 169.74/170.05 (assume @p97 (forall @t285 (=> (forall @t283 (=> (_ (_ tptp.ord_less_eq_nat @t280) @t279) @t282)) @t284))) % 169.74/170.05 (assume @p98 (forall @t288 (=> @t264 (=> @t287 (_ @t286 @t103))))) % 169.74/170.05 (assume @p99 (forall @t291 (=> @t266 (=> @t290 (_ @t289 @t111))))) % 169.74/170.05 (assume @p100 (forall (@list @t292 @t293) (= (_ (_ tptp.member1103263856a_real @t292) (_ tptp.collec1714955950a_real @t293)) (_ @t293 @t292)))) % 169.74/170.05 (assume @p101 (forall (@list @t103 @t294) (= (_ (_ tptp.member_real @t103) (_ tptp.collect_real @t294)) (_ @t294 @t103)))) % 169.74/170.05 (assume @p102 (forall (@list @t42 @t295) (= (_ (_ tptp.member_a @t42) (_ tptp.collect_a @t295)) (_ @t295 @t42)))) % 169.74/170.05 (assume @p103 (forall @t297 (= (_ tptp.collec1714955950a_real (lambda @t90 (_ @t89 @t296))) @t296))) % 169.74/170.05 (assume @p104 (forall @t299 (= (_ tptp.collect_real (lambda @t80 (_ @t79 @t298))) @t298))) % 169.74/170.05 (assume @p105 (forall @t301 (= (_ tptp.collect_a (lambda @t86 (_ @t85 @t300))) @t300))) % 169.74/170.05 (assume @p106 (= @t210 (lambda @t254 (and @t252 @t253)))) % 169.74/170.05 (assume @p107 (= @t218 (lambda @t259 (and @t257 @t258)))) % 169.74/170.05 (assume @p108 (forall @t302 (=> @t264 (=> @t167 @t260)))) % 169.74/170.05 (assume @p109 (forall @t303 (=> @t266 (=> @t176 @t261)))) % 169.74/170.05 (assume @p110 (forall @t114 (_ (_ tptp.ord_less_eq_real tptp.zero_zero_real) @t49))) % 169.74/170.05 (assume @p111 (= tptp.top_top_set_a @t304)) % 169.74/170.05 (assume @p112 (= tptp.top_top_set_real (_ tptp.collect_real tptp.top_top_real_o))) % 169.74/170.05 (assume @p113 (= tptp.top_to2138011583a_real (_ tptp.collec1714955950a_real tptp.top_to1567080838real_o))) % 169.74/170.05 (assume @p114 (forall @t265 (=> @t307 (=> @t167 @t306)))) % 169.74/170.05 (assume @p115 (forall @t267 (=> @t310 (=> @t176 @t309)))) % 169.74/170.05 (assume @p116 (forall @t302 (=> @t312 @t264))) % 169.74/170.05 (assume @p117 (forall @t303 (=> @t314 @t266))) % 169.74/170.05 (assume @p118 (= tptp.ord_less_eq_real (lambda @t316 (or (_ (_ tptp.ord_less_real @t251) @t250) @t315)))) % 169.74/170.05 (assume @p119 (= tptp.ord_less_eq_nat (lambda @t318 (or (_ (_ tptp.ord_less_nat @t256) @t255) @t317)))) % 169.74/170.05 (assume @p120 (forall @t265 (=> @t306 @t167))) % 169.74/170.05 (assume @p121 (forall @t267 (=> @t309 @t176))) % 169.74/170.05 (assume @p122 (forall @t237 (=> @t323 (=> (forall @t322 (=> (_ @t321 @t319) (=> (_ @t320 @t67) (_ (_ tptp.ord_less_eq_real @t319) @t65)))) @t69)))) % 169.74/170.05 (assume @p123 (forall (@list @t65 @t16 @t67) (=> (_ @t324 @t16) (=> (forall @t322 (=> (_ @t324 @t319) (=> (_ @t320 @t16) (_ @t68 @t319)))) @t69)))) % 169.74/170.05 (assume @p124 (forall @t288 (=> @t312 (=> @t287 @t326)))) % 169.74/170.05 (assume @p125 (forall @t291 (=> @t314 (=> @t290 @t328)))) % 169.74/170.05 (assume @p126 (forall @t288 (=> @t264 @t329))) % 169.74/170.05 (assume @p127 (forall @t291 (=> @t266 @t330))) % 169.74/170.05 (assume @p128 (= tptp.ord_less_real (lambda @t254 (and @t253 @t331)))) % 169.74/170.05 (assume @p129 (= tptp.ord_less_nat (lambda @t259 (and @t258 @t332)))) % 169.74/170.05 (assume @p130 (= tptp.ord_less_eq_real (lambda @t254 (or (_ (_ tptp.ord_less_real @t250) @t251) @t315)))) % 169.74/170.05 (assume @p131 (= tptp.ord_less_eq_nat (lambda @t259 (or (_ (_ tptp.ord_less_nat @t255) @t256) @t317)))) % 169.74/170.05 (assume @p132 (forall @t229 (=> @t306 (=> @t127 @t333)))) % 169.74/170.05 (assume @p133 (forall @t231 (=> @t309 (=> @t141 @t334)))) % 169.74/170.05 (assume @p134 (forall @t229 (=> @t167 @t336))) % 169.74/170.05 (assume @p135 (forall @t231 (=> @t176 @t338))) % 169.74/170.05 (assume @p136 (forall @t247 (=> @t234 @t323))) % 169.74/170.05 (assume @p137 (forall @t249 (=> @t242 @t340))) % 169.74/170.05 (assume @p138 (= tptp.ord_less_real (lambda @t207 (and @t206 (not @t205))))) % 169.74/170.05 (assume @p139 (= tptp.ord_less_nat (lambda @t215 (and @t214 (not @t213))))) % 169.74/170.05 (assume @p140 (forall @t221 (=> @t220 (or @t323 @t81)))) % 169.74/170.05 (assume @p141 (forall @t225 (=> @t224 (or @t340 @t222)))) % 169.74/170.05 (assume @p142 (forall @t221 (or @t220 @t342))) % 169.74/170.05 (assume @p143 (forall @t225 (or @t224 @t344))) % 169.74/170.05 (assume @p144 (forall (@list @t67 @t65) (=> (forall @t346 (=> (_ @t345 @t67) (_ @t123 @t65))) @t69))) % 169.74/170.05 (assume @p145 (forall (@list @t65 @t67) (=> (forall @t346 (=> (_ @t324 @t121) (_ @t68 @t121))) @t69))) % 169.74/170.05 (assume @p146 (forall @t237 (=> @t323 (=> @t69 @t347)))) % 169.74/170.05 (assume @p147 (forall @t245 (=> @t340 (=> @t241 @t348)))) % 169.74/170.05 (assume @p148 (forall @t237 (=> @t220 @t349))) % 169.74/170.05 (assume @p149 (forall @t245 (=> @t224 @t350))) % 169.74/170.05 (assume @p150 (forall @t221 (=> @t323 @t220))) % 169.74/170.05 (assume @p151 (forall @t225 (=> @t340 @t224))) % 169.74/170.05 (assume @p152 (forall @t221 (=> @t220 @t352))) % 169.74/170.05 (assume @p153 (forall @t225 (=> @t224 @t354))) % 169.74/170.05 (assume @p154 (forall @t221 (=> @t351 @t246))) % 169.74/170.05 (assume @p155 (forall @t225 (=> @t353 @t248))) % 169.74/170.05 (assume @p156 (forall @t265 (=> @t167 (=> @t307 @t306)))) % 169.74/170.05 (assume @p157 (forall @t267 (=> @t176 (=> @t310 @t309)))) % 169.74/170.05 (assume @p158 (forall @t221 (= @t351 @t219))) % 169.74/170.05 (assume @p159 (forall @t225 (= @t353 @t223))) % 169.74/170.05 (assume @p160 (forall @t221 (= @t226 @t342))) % 169.74/170.05 (assume @p161 (forall @t225 (= @t227 @t344))) % 169.74/170.05 (assume @p162 (forall @t168 (=> @t306 (=> @t166 @t358)))) % 169.74/170.05 (assume @p163 (forall @t177 (=> @t309 (=> @t175 @t362)))) % 169.74/170.05 (assume @p164 (forall @t172 (=> @t306 (=> @t171 @t365)))) % 169.74/170.05 (assume @p165 (forall @t181 (=> @t309 (=> @t180 @t368)))) % 169.74/170.05 (assume @p166 (forall @t131 (=> @t370 (=> @t127 (=> @t126 @t369))))) % 169.74/170.05 (assume @p167 (forall @t154 (=> @t372 (=> @t127 (=> @t150 @t371))))) % 169.74/170.05 (assume @p168 (forall @t145 (=> @t374 (=> @t141 (=> @t140 @t373))))) % 169.74/170.05 (assume @p169 (forall @t163 (=> @t376 (=> @t141 (=> @t159 @t375))))) % 169.74/170.05 (assume @p170 (forall @t168 (=> @t167 (=> @t377 (=> @t126 @t355))))) % 169.74/170.05 (assume @p171 (forall @t172 (=> @t167 (=> @t378 (=> @t150 @t363))))) % 169.74/170.05 (assume @p172 (forall @t177 (=> @t176 (=> @t379 (=> @t140 @t359))))) % 169.74/170.05 (assume @p173 (forall @t181 (=> @t176 (=> @t380 (=> @t159 @t366))))) % 169.74/170.05 (assume @p174 (forall @t131 (=> @t130 @t381))) % 169.74/170.05 (assume @p175 (forall @t145 (=> @t144 @t382))) % 169.74/170.05 (assume @p176 (forall @t154 (=> @t153 @t383))) % 169.74/170.05 (assume @p177 (forall @t163 (=> @t162 @t384))) % 169.74/170.05 (assume @p178 (= tptp.ord_less_real (lambda @t207 (and @t206 (not @t385))))) % 169.74/170.05 (assume @p179 (= tptp.ord_less_nat (lambda @t215 (and @t214 (not @t386))))) % 169.74/170.05 (assume @p180 (= tptp.ord_less_eq_real (lambda @t207 (or (_ (_ tptp.ord_less_real @t77) @t204) @t385)))) % 169.74/170.05 (assume @p181 (= tptp.ord_less_eq_nat (lambda @t215 (or (_ (_ tptp.ord_less_nat @t211) @t212) @t386)))) % 169.74/170.05 (assume @p182 (forall @t221 (=> @t351 @t219))) % 169.74/170.05 (assume @p183 (forall @t225 (=> @t353 @t223))) % 169.74/170.05 (assume @p184 (forall @t247 (=> @t219 @t351))) % 169.74/170.05 (assume @p185 (forall @t249 (=> @t223 @t353))) % 169.74/170.05 (assume @p186 (forall @t52 (=> @t387 @t59))) % 169.74/170.05 (assume @p187 (forall @t54 (=> @t388 @t60))) % 169.74/170.05 (assume @p188 (forall @t56 (=> @t389 @t61))) % 169.74/170.05 (assume @p189 (forall @t58 (=> @t390 @t62))) % 169.74/170.05 (assume @p190 (forall @t52 (= @t387 @t59))) % 169.74/170.05 (assume @p191 (forall @t54 (= @t388 @t60))) % 169.74/170.05 (assume @p192 (forall @t56 (= @t389 @t61))) % 169.74/170.05 (assume @p193 (forall @t58 (= @t390 @t62))) % 169.74/170.05 (assume @p194 (forall @t52 (_ @t98 tptp.top_top_set_a))) % 169.74/170.05 (assume @p195 (forall @t54 (_ (_ tptp.ord_less_eq_set_real @t53) tptp.top_top_set_real))) % 169.74/170.05 (assume @p196 (forall @t56 (_ (_ tptp.ord_le1586073967a_real @t55) tptp.top_to2138011583a_real))) % 169.74/170.05 (assume @p197 (forall @t58 (_ (_ tptp.ord_le486764743_set_a @t57) tptp.top_to1477940855_set_a))) % 169.74/170.05 (assume @p198 (forall @t114 (not (_ @t50 tptp.zero_zero_real)))) % 169.74/170.05 (assume @p199 (forall @t114 (=> @t115 @t116))) % 169.74/170.05 (assume @p200 (forall @t302 (=> @t312 @t307))) % 169.74/170.05 (assume @p201 (forall @t303 (=> @t314 @t310))) % 169.74/170.05 (assume @p202 (forall @t265 (=> @t306 @t307))) % 169.74/170.05 (assume @p203 (forall @t267 (=> @t309 @t310))) % 169.74/170.05 (assume @p204 (forall @t221 (= @t351 (or @t342 @t81)))) % 169.74/170.05 (assume @p205 (forall @t225 (= @t353 (or @t344 @t222)))) % 169.74/170.05 (assume @p206 (forall @t288 (=> @t312 @t329))) % 169.74/170.05 (assume @p207 (forall @t291 (=> @t314 @t330))) % 169.74/170.05 (assume @p208 (forall @t277 (=> (forall @t275 (=> (_ (_ tptp.ord_less_real @t272) @t271) @t274)) (=> (forall (@list @t272) (_ @t273 @t272)) @t276)))) % 169.74/170.05 (assume @p209 (forall @t285 (=> (forall @t283 (=> (_ (_ tptp.ord_less_nat @t280) @t279) @t282)) (=> (forall (@list @t280) (_ @t281 @t280)) @t284)))) % 169.74/170.05 (assume @p210 (= (lambda (@list @t396) (exists (@list @t395) (_ @t396 @t395))) (lambda (@list @t392) (exists (@list @t393) (and (_ @t392 @t393) (forall (@list @t391) (=> @t394 (not (_ @t392 @t391))))))))) % 169.74/170.05 (assume @p211 (forall @t221 (=> @t323 @t397))) % 169.74/170.05 (assume @p212 (forall @t225 (=> @t340 @t398))) % 169.74/170.05 (assume @p213 (forall @t229 (=> @t306 @t336))) % 169.74/170.05 (assume @p214 (forall @t231 (=> @t309 @t338))) % 169.74/170.05 (assume @p215 (forall @t268 (not (_ @t305 @t103)))) % 169.74/170.05 (assume @p216 (forall @t269 (not (_ @t308 @t111)))) % 169.74/170.05 (assume @p217 (forall @t221 (=> @t351 (=> @t399 @t342)))) % 169.74/170.05 (assume @p218 (forall @t225 (=> @t353 (=> @t400 @t344)))) % 169.74/170.05 (assume @p219 (forall (@list @t16 @t67 @t401) (=> @t323 (=> @t342 @t401)))) % 169.74/170.05 (assume @p220 (forall (@list @t93 @t191 @t401) (=> @t340 (=> @t344 @t401)))) % 169.74/170.05 (assume @p221 (forall @t221 (=> @t323 (not (= @t67 @t16))))) % 169.74/170.05 (assume @p222 (forall @t225 (=> @t340 (not (= @t191 @t93))))) % 169.74/170.05 (assume @p223 (forall @t247 (=> @t397 @t352))) % 169.74/170.05 (assume @p224 (forall @t249 (=> @t398 @t354))) % 169.74/170.05 (assume @p225 (forall (@list @t402 @t111) (=> (forall @t407 (=> (forall @t406 (=> (_ (_ tptp.ord_less_nat @t404) @t136) @t405)) @t403)) (_ @t402 @t111)))) % 169.74/170.05 (assume @p226 (forall @t221 (=> @t323 @t399))) % 169.74/170.05 (assume @p227 (forall @t225 (=> @t340 @t400))) % 169.74/170.05 (assume @p228 (forall @t302 (=> @t312 (not @t306)))) % 169.74/170.05 (assume @p229 (forall @t303 (=> @t314 (not @t309)))) % 169.74/170.05 (assume @p230 (forall @t229 (=> @t306 (=> @t262 @t333)))) % 169.74/170.05 (assume @p231 (forall @t231 (=> @t309 (=> @t263 @t334)))) % 169.74/170.05 (assume @p232 (forall @t229 (=> @t260 @t336))) % 169.74/170.05 (assume @p233 (forall @t231 (=> @t261 @t338))) % 169.74/170.05 (assume @p234 (forall @t18 (not (_ @t321 @t16)))) % 169.74/170.05 (assume @p235 (forall @t95 (not (_ @t339 @t93)))) % 169.74/170.05 (assume @p236 (forall @t221 (or @t323 @t81 @t342))) % 169.74/170.05 (assume @p237 (forall @t225 (or @t340 @t222 @t344))) % 169.74/170.05 (assume @p238 (forall @t237 (=> @t323 @t349))) % 169.74/170.05 (assume @p239 (forall @t245 (=> @t340 @t350))) % 169.74/170.05 (assume @p240 (forall @t265 (=> @t306 (not @t312)))) % 169.74/170.05 (assume @p241 (forall @t267 (=> @t309 (not @t314)))) % 169.74/170.05 (assume @p242 (forall @t221 (=> @t323 (exists (@list @t408) (and (_ @t321 @t408) (_ (_ tptp.ord_less_real @t408) @t67)))))) % 169.74/170.05 (assume @p243 (forall @t221 (= @t399 (or @t323 @t342)))) % 169.74/170.05 (assume @p244 (forall @t225 (= @t400 (or @t340 @t344)))) % 169.74/170.05 (assume @p245 (forall @t221 (=> @t399 (=> @t351 @t342)))) % 169.74/170.05 (assume @p246 (forall @t225 (=> @t400 (=> @t353 @t344)))) % 169.74/170.05 (assume @p247 (forall @t18 (exists (@list @t409) (_ @t321 @t409)))) % 169.74/170.05 (assume @p248 (forall @t95 (exists (@list @t410) (_ @t339 @t410)))) % 169.74/170.05 (assume @p249 (forall @t18 (exists @t411 (_ (_ tptp.ord_less_real @t119) @t16)))) % 169.74/170.05 (assume @p250 (forall @t168 (=> @t306 (=> @t377 @t358)))) % 169.74/170.05 (assume @p251 (forall @t172 (=> @t306 (=> @t378 @t365)))) % 169.74/170.05 (assume @p252 (forall @t177 (=> @t309 (=> @t379 @t362)))) % 169.74/170.05 (assume @p253 (forall @t181 (=> @t309 (=> @t380 @t368)))) % 169.74/170.05 (assume @p254 (forall @t131 (=> @t370 @t381))) % 169.74/170.05 (assume @p255 (forall @t145 (=> @t374 @t382))) % 169.74/170.05 (assume @p256 (forall @t154 (=> @t372 @t383))) % 169.74/170.05 (assume @p257 (forall @t163 (=> @t376 @t384))) % 169.74/170.05 (assume @p258 (forall @t168 (=> @t306 (=> @t200 @t358)))) % 169.74/170.05 (assume @p259 (forall @t172 (=> @t306 (=> @t201 @t365)))) % 169.74/170.05 (assume @p260 (forall @t177 (=> @t309 (=> @t202 @t362)))) % 169.74/170.05 (assume @p261 (forall @t181 (=> @t309 (=> @t203 @t368)))) % 169.74/170.05 (assume @p262 (forall @t131 (=> @t196 @t381))) % 169.74/170.05 (assume @p263 (forall @t154 (=> @t197 @t383))) % 169.74/170.05 (assume @p264 (forall @t145 (=> @t198 @t382))) % 169.74/170.05 (assume @p265 (forall @t163 (=> @t199 @t384))) % 169.74/170.05 (assume @p266 (forall (@list @t293 @t412) (=> @t416 (_ @t293 @t412)))) % 169.74/170.05 (assume @p267 (forall (@list @t418 @t417) (=> @t423 (_ @t418 @t417)))) % 169.74/170.05 (assume @p268 @t429) % 169.74/170.05 (assume @p269 (forall (@list @t430) (not (forall @t422 (not (= @t430 @t421)))))) % 169.74/170.05 (assume @p270 (forall @t45 (=> @t44 (not (=> @t43 (not @t40)))))) % 169.74/170.05 (assume @p271 (forall @t37 (=> @t36 (not (=> @t34 (not @t31)))))) % 169.74/170.05 (assume @p272 (forall (@list @t293 @t431) (=> @t416 (_ @t293 @t431)))) % 169.74/170.05 (assume @p273 (forall (@list @t418 @t432) (=> @t423 (_ @t418 @t432)))) % 169.74/170.05 (assume @p274 (forall (@list @t431) (exists (@list @t433 @t119) (= @t431 (_ (_ tptp.product_Pair_a_real @t433) @t119))))) % 169.74/170.05 (assume @p275 (forall (@list @t432) (exists (@list @t435 @t434) (= @t432 (_ (_ tptp.produc1928581911_set_a @t435) @t434))))) % 169.74/170.05 (assume @p276 (exists @t437 (_ @t436 tptp.top_top_set_a))) % 169.74/170.05 (assume @p277 (exists @t346 (_ @t438 tptp.top_top_set_real))) % 169.74/170.05 (assume @p278 (exists @t10 (_ @t7 tptp.top_to2138011583a_real))) % 169.74/170.05 (assume @p279 (forall @t301 (=> (forall @t437 (_ @t436 @t300)) (= tptp.top_top_set_a @t300)))) % 169.74/170.05 (assume @p280 (forall @t299 (=> (forall @t346 (_ @t438 @t298)) (= tptp.top_top_set_real @t298)))) % 169.74/170.05 (assume @p281 (forall @t297 (=> (forall @t10 (_ @t7 @t296)) (= tptp.top_to2138011583a_real @t296)))) % 169.74/170.05 (assume @p282 @t440) % 169.74/170.05 (assume @p283 (= (_ tptp.elementary_closure_a tptp.top_top_set_a) tptp.top_top_set_a)) % 169.74/170.05 (assume @p284 (= (_ tptp.elemen1168706977e_real tptp.top_top_set_real) tptp.top_top_set_real)) % 169.74/170.05 (assume @p285 (= (_ tptp.elemen1695521870a_real tptp.top_to2138011583a_real) tptp.top_to2138011583a_real)) % 169.74/170.05 (assume @p286 (forall (@list @t16 @t442) (= (_ @t17 (_ tptp.elemen1168706977e_real @t442)) (forall @t444 (=> @t443 (exists @t80 (and (_ @t79 @t442) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.real_V1934908667t_real @t77) @t16)) @t441)))))))) % 169.74/170.05 (assume @p287 (forall (@list @t19 @t445) (= (_ @t20 (_ tptp.elementary_closure_a @t445)) (forall @t444 (=> @t443 (exists @t86 (and (_ @t85 @t445) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.real_V1514887919dist_a @t82) @t19)) @t441)))))))) % 169.74/170.05 (assume @p288 (forall (@list @t13 @t446) (= (_ @t14 (_ tptp.elemen1695521870a_real @t446)) (forall @t444 (=> @t443 (exists @t90 (and (_ @t89 @t446) (_ (_ tptp.ord_less_eq_real (_ (_ tptp.real_V404783528a_real @t87) @t13)) @t441)))))))) % 169.74/170.05 (assume @p289 (forall @t451 (= (not @t450) @t448))) % 169.74/170.05 (assume @p290 (forall @t451 (= (_ @t452 tptp.zero_zero_nat) @t448))) % 169.74/170.05 (assume @p291 (forall (@list @t453 @t457 @t454) (=> (forall @t462 (=> @t461 (_ (_ tptp.ord_less_real (_ @t457 @t459)) @t460))) (=> (forall @t462 (=> @t461 (_ (_ tptp.ord_less_eq_real @t460) @t455))) (forall (@list @t456) (=> (_ @t458 @t456) (_ (_ tptp.ord_less_real (_ @t457 @t456)) @t455))))))) % 169.74/170.05 (assume @p292 (forall @t451 (_ @t463 @t447))) % 169.74/170.05 (assume @p293 (forall @t269 (_ @t463 @t111))) % 169.74/170.05 (assume @p294 (forall @t451 (= @t464 @t450))) % 169.74/170.05 (assume @p295 (forall @t451 (not (_ @t465 tptp.zero_zero_nat)))) % 169.74/170.05 (assume @p296 (forall @t269 (= (not @t466) (_ @t449 @t111)))) % 169.74/170.05 (assume @p297 (forall @t451 (=> @t464 @t450))) % 169.74/170.05 (assume @p298 (forall @t468 (=> @t467 @t464))) % 169.74/170.05 (assume @p299 (forall @t477 (=> @t476 (=> (forall @t462 (=> (_ @t449 @t459) @t475)) @t469)))) % 169.74/170.05 (assume @p300 (forall @t269 (not (_ @t308 tptp.zero_zero_nat)))) % 169.74/170.05 (assume @p301 (forall @t269 (=> @t478 @t466))) % 169.74/170.05 (assume @p302 (forall @t269 (= @t478 @t466))) % 169.74/170.05 (assume @p303 (forall (@list @t155 @t480 @t479) (=> (forall (@list @t484 @t483) (=> (_ (_ tptp.ord_less_nat @t484) @t483) (_ (_ tptp.ord_less_nat (_ @t155 @t484)) (_ @t155 @t483)))) (=> @t482 (_ (_ tptp.ord_less_eq_nat (_ @t155 @t480)) (_ @t155 @t479)))))) % 169.74/170.05 (assume @p304 (forall @t468 (=> @t487 (=> @t486 @t467)))) % 169.74/170.05 (assume @p305 (forall (@list @t402 @t488 @t107) (=> (_ @t402 @t488) (=> (forall (@list @t134) (=> (_ @t402 @t134) (_ (_ tptp.ord_less_eq_nat @t134) @t107))) (exists @t407 (and @t403 (forall @t406 (=> @t405 (_ (_ tptp.ord_less_eq_nat @t404) @t136))))))))) % 169.74/170.05 (assume @p306 (forall @t468 (=> (or @t467 @t485) @t487))) % 169.74/170.05 (assume @p307 (= tptp.ord_less_eq_nat (lambda @t490 (or @t394 @t489)))) % 169.74/170.05 (assume @p308 (forall @t468 (=> @t467 @t487))) % 169.74/170.05 (assume @p309 (forall @t477 (=> @t469 (=> (not @t476) (exists @t497 (and @t496 (forall @t495 (=> (_ (_ tptp.ord_less_nat @t493) @t491) (not @t494))) @t492)))))) % 169.74/170.05 (assume @p310 (forall @t468 (or @t487 @t498))) % 169.74/170.05 (assume @p311 (= tptp.ord_less_nat (lambda @t490 (and (_ (_ tptp.ord_less_eq_nat @t391) @t393) (not @t489))))) % 169.74/170.05 (assume @p312 (forall @t468 (=> @t487 (=> @t498 @t485)))) % 169.74/170.05 (assume @p313 (forall @t468 (=> @t485 @t487))) % 169.74/170.05 (assume @p314 (forall (@list @t480 @t479 @t488) (=> @t482 (=> (_ (_ tptp.ord_less_eq_nat @t479) @t488) (_ @t481 @t488))))) % 169.74/170.05 (assume @p315 (forall @t451 (_ @t452 @t447))) % 169.74/170.05 (assume @p316 (forall @t477 (=> (forall @t462 @t475) @t469))) % 169.74/170.05 (assume @p317 (forall @t477 (=> (forall @t462 (=> (forall @t473 (=> @t472 @t471)) @t474)) @t469))) % 169.74/170.05 (assume @p318 (forall @t451 (not (_ @t465 @t447)))) % 169.74/170.05 (assume @p319 (forall (@list @t500 @t499) (=> (_ (_ tptp.ord_less_nat @t500) @t499) (not (= @t500 @t499))))) % 169.74/170.05 (assume @p320 (forall (@list @t447 @t453) (=> @t501 @t486))) % 169.74/170.05 (assume @p321 (forall @t468 (= @t486 (or @t467 @t501)))) % 169.74/170.05 (assume @p322 (forall (@list @t447 @t402 @t453) (=> (forall @t497 (=> (_ @t465 @t491) @t492)) (=> (forall @t497 (=> @t496 (=> (forall @t495 (=> (_ (_ tptp.ord_less_nat @t491) @t493) @t494)) @t492))) (_ @t402 @t453))))) % 169.74/170.05 (assume @p323 (forall (@list @t442) (=> (exists @t507 @t506) (=> (exists @t504 @t503) (exists @t411 (and (forall @t507 (=> @t506 (_ (_ tptp.ord_less_eq_real @t505) @t119))) (forall @t504 (=> @t503 (_ (_ tptp.ord_less_eq_real @t119) @t502))))))))) % 169.74/170.05 (assume @p324 @t516) % 169.74/170.05 (assume @p325 (not tptp.thesis)) % 169.74/170.05 (assume @p326 true) % 169.74/170.05 (step @p327 (= tptp.ord_less_real @t517) :rule refl :args (@t517)) % 169.74/170.05 (step @p328 (= tptp.ord_less_nat @t518) :rule refl :args (@t518)) % 169.74/170.05 ; WARNING: add trust step for TRUST % 169.74/170.05 ; trust TRUST PREPROCESS_HO_ELIM % 169.74/170.05 (step @p329 :rule trust :premises () :args ((= (not (forall @t10 (or (not (tptp.member1103263856a_real @t2 @t541)) @t539 @t537))) (not @t534)))) % 169.74/170.05 (step @p330 :rule refl :args (@t537)) % 169.74/170.05 (step @p331 :rule refl :args (@t539)) % 169.74/170.05 (step @p332 :rule refl :args (tptp.f)) % 169.74/170.05 (step @p333 :rule refl :args (@t540)) % 169.74/170.05 (step @p334 :rule refl :args (@t304)) % 169.74/170.05 (step @p335 :rule cong :premises (@p334 @p333) :args ((= @t304 @t540))) % 169.74/170.05 (step @p336 :rule symm :premises (@p335)) % 169.74/170.05 (step @p337 :rule eq_resolve :premises (@p334 @p336)) % 169.74/170.05 (step @p338 :rule cong :premises (@p337 @p332) :args (@t542)) % 169.74/170.05 (step @p339 :rule refl :args (@t2)) % 169.74/170.05 (step @p340 :rule cong :premises (@p339 @p338) :args (@t543)) % 169.74/170.05 (step @p341 :rule cong :premises (@p340) :args (@t544)) % 169.74/170.05 (step @p342 :rule nary_cong :premises (@p341 @p331 @p330) :args (@t545)) % 169.74/170.05 (step @p343 :rule cong :premises (@p342) :args (@t546)) % 169.74/170.05 (step @p344 :rule cong :premises (@p343) :args ((not @t546))) % 169.74/170.05 (step @p345 :rule refl :args (@t537)) % 169.74/170.05 (step @p346 :rule refl :args (@t539)) % 169.74/170.05 (step @p347 :rule refl :args (tptp.f)) % 169.74/170.05 (step @p348 :rule cong :premises (@p111 @p347) :args (@t547)) % 169.74/170.05 (step @p349 :rule refl :args (@t2)) % 169.74/170.05 (step @p350 :rule cong :premises (@p349 @p348) :args (@t548)) % 169.74/170.05 (step @p351 :rule cong :premises (@p350) :args (@t549)) % 169.74/170.05 (step @p352 :rule nary_cong :premises (@p351 @p346 @p345) :args (@t550)) % 169.74/170.05 (step @p353 :rule cong :premises (@p352) :args (@t551)) % 169.74/170.05 (step @p354 :rule cong :premises (@p353) :args ((not @t551))) % 169.74/170.05 (step @p355 :rule trans :premises (@p354 @p344)) % 169.74/170.05 (step @p356 :rule refl :args ((tptp.real_V404783528a_real @t2 @t1))) % 169.74/170.05 (step @p357 :rule refl :args (@t535)) % 169.74/170.05 (step @p358 :rule cong :premises (@p339 @p357) :args (@t536)) % 169.74/170.05 (step @p359 :rule trans :premises (@p358 @p356)) % 169.74/170.05 (step @p360 :rule refl :args (@t3)) % 169.74/170.05 (step @p361 :rule ho_cong :premises (@p360 @p357)) % 169.74/170.05 (step @p362 :rule cong :premises (@p361 @p359) :args ((= (_ @t3 @t535) @t536))) % 169.74/170.05 (step @p363 :rule symm :premises (@p362)) % 169.74/170.05 (step @p364 :rule refl :args (@t4)) % 169.74/170.05 (step @p365 :rule eq_resolve :premises (@p364 @p363)) % 169.74/170.05 (step @p366 :rule refl :args (@t1)) % 169.74/170.05 (step @p367 :rule cong :premises (@p366 @p357) :args ((= @t1 @t535))) % 169.74/170.05 (step @p368 :rule symm :premises (@p367)) % 169.74/170.05 (step @p369 :rule eq_resolve :premises (@p366 @p368)) % 169.74/170.05 (step @p370 :rule ho_cong :premises (@p360 @p369)) % 169.74/170.05 (step @p371 :rule trans :premises (@p370 @p365)) % 169.74/170.05 (step @p372 :rule refl :args (tptp.e)) % 169.74/170.05 (step @p373 :rule cong :premises (@p372 @p371) :args (@t552)) % 169.74/170.05 (step @p374 :rule refl :args ((tptp.ord_less_eq_real @t4 tptp.e))) % 169.74/170.05 (step @p375 :rule cong :premises (@p359 @p372) :args (@t538)) % 169.74/170.05 (step @p376 :rule trans :premises (@p375 @p374)) % 169.74/170.05 (step @p377 :rule refl :args (tptp.ord_less_eq_real)) % 169.74/170.05 (step @p378 :rule ho_cong :premises (@p377 @p359)) % 169.74/170.05 (step @p379 :rule ho_cong :premises (@p378 @p372)) % 169.74/170.05 (step @p380 :rule cong :premises (@p379 @p376) :args ((= (_ (_ tptp.ord_less_eq_real @t536) tptp.e) @t538))) % 169.74/170.05 (step @p381 :rule symm :premises (@p380)) % 169.74/170.05 (step @p382 :rule refl :args (@t554)) % 169.74/170.05 (step @p383 :rule eq_resolve :premises (@p382 @p381)) % 169.74/170.05 (step @p384 :rule ho_cong :premises (@p377 @p371)) % 169.74/170.05 (step @p385 :rule ho_cong :premises (@p384 @p372)) % 169.74/170.05 (step @p386 :rule trans :premises (@p385 @p383)) % 169.74/170.05 (step @p387 :rule cong :premises (@p386) :args (@t555)) % 169.74/170.05 (step @p388 :rule refl :args ((tptp.member1103263856a_real @t2 @t6))) % 169.74/170.05 (step @p389 :rule refl :args (@t547)) % 169.74/170.05 (step @p390 :rule cong :premises (@p339 @p389) :args (@t548)) % 169.74/170.05 (step @p391 :rule trans :premises (@p390 @p388)) % 169.74/170.05 (step @p392 :rule refl :args (@t7)) % 169.74/170.05 (step @p393 :rule ho_cong :premises (@p392 @p389)) % 169.74/170.05 (step @p394 :rule cong :premises (@p393 @p391) :args ((= (_ @t7 @t547) @t548))) % 169.74/170.05 (step @p395 :rule symm :premises (@p394)) % 169.74/170.05 (step @p396 :rule refl :args (@t8)) % 169.74/170.05 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 169.74/170.05 (step @p398 :rule refl :args (@t6)) % 169.74/170.05 (step @p399 :rule cong :premises (@p398 @p389) :args ((= @t6 @t547))) % 169.74/170.05 (step @p400 :rule symm :premises (@p399)) % 169.74/170.05 (step @p401 :rule eq_resolve :premises (@p398 @p400)) % 169.74/170.05 (step @p402 :rule ho_cong :premises (@p392 @p401)) % 169.74/170.05 (step @p403 :rule trans :premises (@p402 @p397)) % 169.74/170.05 (step @p404 :rule cong :premises (@p403) :args (@t556)) % 169.74/170.05 (step @p405 :rule nary_cong :premises (@p404 @p387 @p373) :args (@t557)) % 169.74/170.05 (step @p406 :rule cong :premises (@p405) :args ((forall @t10 @t557))) % 169.74/170.05 (step @p407 :rule bool-double-not-elim :args (@t552)) % 169.74/170.05 (step @p408 :rule refl :args (@t555)) % 169.74/170.05 (step @p409 :rule refl :args (@t556)) % 169.74/170.05 (step @p410 :rule nary_cong :premises (@p409 @p408 @p407) :args (@t560)) % 169.74/170.05 (step @p411 :rule aci_norm :args ((= (or @t556 (or @t555 @t559)) @t560))) % 169.74/170.05 (step @p412 :rule trans :premises (@p411 @p410)) % 169.74/170.05 (step @p413 :rule bool-and-de-morgan :args (@t554 @t558 true)) % 169.74/170.05 (step @p414 :rule nary_cong :premises (@p409 @p413) :args ((or @t556 (not @t561)))) % 169.74/170.05 (step @p415 :rule bool-and-de-morgan :args (@t8 @t554 (and @t558))) % 169.74/170.05 (step @p416 :rule trans :premises (@p415 @p414)) % 169.74/170.05 (step @p417 :rule trans :premises (@p416 @p412)) % 169.74/170.05 (step @p418 :rule cong :premises (@p417) :args (@t563)) % 169.74/170.05 (step @p419 :rule trans :premises (@p418 @p406)) % 169.74/170.05 (step @p420 :rule cong :premises (@p419) :args (@t564)) % 169.74/170.05 (step @p421 :rule exists-elim :args ((= (exists @t10 @t562) @t564))) % 169.74/170.05 (step @p422 :rule trans :premises (@p421 @p420)) % 169.74/170.05 (step @p423 :rule aci_norm :args ((= (and @t8 @t561) @t562))) % 169.74/170.05 (step @p424 :rule eq-symm :args (@t4 tptp.e)) % 169.74/170.05 (step @p425 :rule cong :premises (@p424) :args (@t565)) % 169.74/170.05 (step @p426 :rule refl :args (@t554)) % 169.74/170.05 (step @p427 :rule nary_cong :premises (@p426 @p425) :args (@t566)) % 169.74/170.05 (step @p428 :rule beta-reduce :args ((= (_ (lambda @t568 (and @t567 (not (= @t4 @t250)))) tptp.e) @t566))) % 169.74/170.05 (step @p429 :rule trans :premises (@p428 @p427)) % 169.74/170.05 (step @p430 :rule refl :args (tptp.e)) % 169.74/170.05 (step @p431 :rule eq-symm :args (@t250 @t4)) % 169.74/170.05 (step @p432 :rule cong :premises (@p431) :args (@t569)) % 169.74/170.05 (step @p433 :rule refl :args (@t567)) % 169.74/170.05 (step @p434 :rule nary_cong :premises (@p433 @p432) :args (@t570)) % 169.74/170.05 (step @p435 :rule cong :premises (@p434) :args (@t571)) % 169.74/170.05 (step @p436 :rule beta-reduce :args ((= @t572 @t571))) % 169.74/170.05 (step @p437 :rule trans :premises (@p436 @p435)) % 169.74/170.05 (step @p438 :rule ho_cong :premises (@p437 @p430)) % 169.74/170.05 (step @p439 :rule trans :premises (@p438 @p429)) % 169.74/170.05 (step @p440 :rule refl :args (@t8)) % 169.74/170.05 (step @p441 :rule nary_cong :premises (@p440 @p439) :args (@t573)) % 169.74/170.05 (step @p442 :rule trans :premises (@p441 @p423)) % 169.74/170.05 (step @p443 :rule cong :premises (@p442) :args ((exists @t10 @t573))) % 169.74/170.05 (step @p444 :rule trans :premises (@p443 @p422)) % 169.74/170.05 (step @p445 :rule refl :args (@t4)) % 169.74/170.05 (step @p446 :rule ho_cong :premises (@p327 @p445)) % 169.74/170.05 (step @p447 :rule ho_cong :premises (@p446 @p430)) % 169.74/170.05 (step @p448 :rule nary_cong :premises (@p440 @p447) :args (@t9)) % 169.74/170.05 (step @p449 :rule cong :premises (@p448) :args (@t11)) % 169.74/170.05 (step @p450 :rule trans :premises (@p449 @p444)) % 169.74/170.05 (step @p451 :rule trans :premises (@p450 @p355 @p329)) % 169.74/170.05 (step @p452 :rule eq_resolve :premises (@p1 @p451)) % 169.74/170.05 (step @p453 :rule skolemize :premises (@p452)) % 169.74/170.05 (step @p454 :rule bool-double-not-elim :args (@t575)) % 169.74/170.05 (step @p455 :rule refl :args (@t581)) % 169.74/170.05 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t581 (not @t580)))) % 169.74/170.05 (step @p457 :rule cnf_or_neg :args (@t581 0)) % 169.74/170.05 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 169.74/170.05 (step @p459 :rule reordering :premises (@p458) :args ((or @t575 @t581))) % 169.74/170.05 (step @p460 :rule chain_m_resolution :premises (@p459 @p453) :args (@t575 @t582 @t583)) % 169.74/170.05 (step @p461 :rule true_intro :premises (@p460)) % 169.74/170.05 (step @p462 :rule refl :args (@t530)) % 169.74/170.05 ; trust TRUST PREPROCESS_HO_ELIM % 169.74/170.05 (step @p463 :rule trust :premises () :args ((= (forall @t428 (not (forall @t415 (not (= @t47 @t586))))) @t585))) % 169.74/170.05 (step @p464 :rule refl :args (@t586)) % 169.74/170.05 (step @p465 :rule refl :args (@t414)) % 169.74/170.05 (step @p466 :rule cong :premises (@p465 @p464) :args ((= @t414 @t586))) % 169.74/170.05 (step @p467 :rule symm :premises (@p466)) % 169.74/170.05 (step @p468 :rule eq_resolve :premises (@p465 @p467)) % 169.74/170.05 (step @p469 :rule refl :args (@t47)) % 169.74/170.05 (step @p470 :rule cong :premises (@p469 @p468) :args (@t424)) % 169.74/170.05 (step @p471 :rule cong :premises (@p470) :args (@t425)) % 169.74/170.05 (step @p472 :rule cong :premises (@p471) :args (@t426)) % 169.74/170.05 (step @p473 :rule cong :premises (@p472) :args (@t427)) % 169.74/170.05 (step @p474 :rule cong :premises (@p473) :args (@t429)) % 169.74/170.05 (step @p475 :rule trans :premises (@p474 @p463)) % 169.74/170.05 (step @p476 :rule eq_resolve :premises (@p268 @p475)) % 169.74/170.05 (step @p477 :rule eq-symm :args (@t574 @t584)) % 169.74/170.05 (step @p478 :rule cong :premises (@p477) :args (@t587)) % 169.74/170.05 (step @p479 :rule cong :premises (@p478) :args (@t588)) % 169.74/170.05 (step @p480 :rule cong :premises (@p479) :args (@t589)) % 169.74/170.05 (step @p481 :rule refl :args (@t585)) % 169.74/170.05 (step @p482 :rule cong :premises (@p481 @p480) :args ((=> @t585 @t589))) % 169.74/170.05 (assume-push @p665 @t585) % 169.74/170.05 (step @p484 :rule instantiate :premises (@p476) :args ((@list @t574))) % 169.74/170.05 (step-pop @p666 :rule scope :premises (@p484)) % 169.74/170.05 (step @p485 :rule process_scope :premises (@p666) :args (@t589)) % 169.74/170.05 (step @p487 :rule eq_resolve :premises (@p485 @p482)) % 169.74/170.05 (step @p488 :rule implies_elim :premises (@p487)) % 169.74/170.05 (step @p489 :rule chain_m_resolution :premises (@p488 @p476) :args (@t591 (@list false) (@list @t585))) % 169.74/170.05 (step @p490 :rule refl :args (@t595)) % 169.74/170.05 (step @p491 :rule bool-double-not-elim :args (@t590)) % 169.74/170.05 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or (not @t591) @t595))) % 169.74/170.05 (step @p493 :rule eq-symm :args (@t594 @t574)) % 169.74/170.05 (step @p494 :rule bool-double-not-elim :args (@t596)) % 169.74/170.05 (step @p495 :rule trans :premises (@p494 @p493)) % 169.74/170.05 (step @p496 :rule refl :args (@t591)) % 169.74/170.05 (step @p497 :rule cong :premises (@p496 @p495) :args ((=> @t591 @t597))) % 169.74/170.05 (assume-push @p667 @t591) % 169.74/170.05 (step @p499 :rule skolemize :premises (@p489)) % 169.74/170.05 (step-pop @p668 :rule scope :premises (@p499)) % 169.74/170.05 (step @p500 :rule process_scope :premises (@p668) :args (@t597)) % 169.74/170.05 (step @p502 :rule eq_resolve :premises (@p500 @p497)) % 169.74/170.05 (step @p503 :rule implies_elim :premises (@p502)) % 169.74/170.05 (step @p504 :rule eq_resolve :premises (@p503 @p492)) % 169.74/170.05 (step @p505 :rule chain_m_resolution :premises (@p504 @p489) :args (@t595 @t582 (@list @t590))) % 169.74/170.05 (step @p506 :rule symm :premises (@p505)) % 169.74/170.05 (step @p507 :rule refl :args (@t531)) % 169.74/170.05 (step @p508 :rule cong :premises (@p507 @p506) :args (@t598)) % 169.74/170.05 (step @p509 :rule cong :premises (@p508 @p462) :args (@t599)) % 169.74/170.05 (step @p510 :rule trans :premises (@p509 @p461)) % 169.74/170.05 (step @p511 :rule true_elim :premises (@p510)) % 169.74/170.05 ; trust TRUST PREPROCESS_HO_ELIM % 169.74/170.05 (step @p512 :rule trust :premises () :args ((= (forall @t515 (or (not (tptp.member1103263856a_real @t602 @t541)) @t606 @t604)) (forall @t515 (or (not (_ @t533 (_ @t532 @t531 @t600) @t530)) (not (_ @t529 (_ @t528 @t527 @t601) tptp.e)) (= tptp.e @t601)))))) % 169.74/170.05 (step @p513 :rule refl :args (@t604)) % 169.74/170.05 (step @p514 :rule refl :args (@t606)) % 169.74/170.05 (step @p515 :rule refl :args (@t602)) % 169.74/170.05 (step @p516 :rule cong :premises (@p515 @p338) :args (@t607)) % 169.74/170.05 (step @p517 :rule cong :premises (@p516) :args (@t608)) % 169.74/170.05 (step @p518 :rule nary_cong :premises (@p517 @p514 @p513) :args (@t609)) % 169.74/170.05 (step @p519 :rule cong :premises (@p518) :args (@t610)) % 169.74/170.05 (step @p520 :rule aci_norm :args ((= (or false @t610) @t610))) % 169.74/170.05 (step @p521 :rule trans :premises (@p520 @p519)) % 169.74/170.05 (step @p522 :rule refl :args (@t604)) % 169.74/170.05 (step @p523 :rule refl :args (@t606)) % 169.74/170.05 (step @p524 :rule refl :args (@t602)) % 169.74/170.05 (step @p525 :rule cong :premises (@p524 @p348) :args (@t611)) % 169.74/170.05 (step @p526 :rule cong :premises (@p525) :args (@t612)) % 169.74/170.05 (step @p527 :rule nary_cong :premises (@p526 @p523 @p522) :args (@t613)) % 169.74/170.05 (step @p528 :rule cong :premises (@p527) :args (@t614)) % 169.74/170.05 (step @p529 :rule bool-eq-false :args (tptp.thesis)) % 169.74/170.05 (step @p530 :rule symm :premises (@p529)) % 169.74/170.05 (step @p531 :rule eq_resolve :premises (@p325 @p530)) % 169.74/170.05 (step @p532 :rule nary_cong :premises (@p531 @p528) :args ((or tptp.thesis @t614))) % 169.74/170.05 (step @p533 :rule trans :premises (@p532 @p521)) % 169.74/170.05 (step @p534 :rule refl :args ((tptp.real_V404783528a_real @t510 @t1))) % 169.74/170.05 (step @p535 :rule refl :args (@t602)) % 169.74/170.05 (step @p536 :rule cong :premises (@p535 @p357) :args (@t603)) % 169.74/170.05 (step @p537 :rule trans :premises (@p536 @p534)) % 169.74/170.05 (step @p538 :rule refl :args (tptp.real_V404783528a_real)) % 169.74/170.05 (step @p539 :rule ho_cong :premises (@p538 @p535)) % 169.74/170.05 (step @p540 :rule ho_cong :premises (@p539 @p357)) % 169.74/170.05 (step @p541 :rule cong :premises (@p540 @p537) :args ((= (_ (_ tptp.real_V404783528a_real @t602) @t535) @t603))) % 169.74/170.05 (step @p542 :rule symm :premises (@p541)) % 169.74/170.05 (step @p543 :rule refl :args (@t511)) % 169.74/170.05 (step @p544 :rule eq_resolve :premises (@p543 @p542)) % 169.74/170.05 (step @p545 :rule refl :args (@t510)) % 169.74/170.05 (step @p546 :rule cong :premises (@p545 @p535) :args ((= @t510 @t602))) % 169.74/170.05 (step @p547 :rule symm :premises (@p546)) % 169.74/170.05 (step @p548 :rule eq_resolve :premises (@p545 @p547)) % 169.74/170.05 (step @p549 :rule ho_cong :premises (@p538 @p548)) % 169.74/170.05 (step @p550 :rule ho_cong :premises (@p549 @p369)) % 169.74/170.05 (step @p551 :rule trans :premises (@p550 @p544)) % 169.74/170.05 (step @p552 :rule cong :premises (@p372 @p551) :args (@t615)) % 169.74/170.05 (step @p553 :rule refl :args ((tptp.ord_less_eq_real @t511 tptp.e))) % 169.74/170.05 (step @p554 :rule cong :premises (@p537 @p372) :args (@t605)) % 169.74/170.05 (step @p555 :rule trans :premises (@p554 @p553)) % 169.74/170.05 (step @p556 :rule ho_cong :premises (@p377 @p537)) % 169.74/170.05 (step @p557 :rule ho_cong :premises (@p556 @p372)) % 169.74/170.05 (step @p558 :rule cong :premises (@p557 @p555) :args ((= (_ (_ tptp.ord_less_eq_real @t603) tptp.e) @t605))) % 169.74/170.05 (step @p559 :rule symm :premises (@p558)) % 169.74/170.05 (step @p560 :rule refl :args (@t617)) % 169.74/170.05 (step @p561 :rule eq_resolve :premises (@p560 @p559)) % 169.74/170.05 (step @p562 :rule ho_cong :premises (@p377 @p551)) % 169.74/170.05 (step @p563 :rule ho_cong :premises (@p562 @p372)) % 169.74/170.05 (step @p564 :rule trans :premises (@p563 @p561)) % 169.74/170.05 (step @p565 :rule cong :premises (@p564) :args (@t618)) % 169.74/170.05 (step @p566 :rule refl :args ((tptp.member1103263856a_real @t510 @t6))) % 169.74/170.05 (step @p567 :rule cong :premises (@p535 @p389) :args (@t611)) % 169.74/170.05 (step @p568 :rule trans :premises (@p567 @p566)) % 169.74/170.05 (step @p569 :rule refl :args (tptp.member1103263856a_real)) % 169.74/170.05 (step @p570 :rule ho_cong :premises (@p569 @p535)) % 169.74/170.05 (step @p571 :rule ho_cong :premises (@p570 @p389)) % 169.74/170.05 (step @p572 :rule cong :premises (@p571 @p568) :args ((= (_ (_ tptp.member1103263856a_real @t602) @t547) @t611))) % 169.74/170.05 (step @p573 :rule symm :premises (@p572)) % 169.74/170.05 (step @p574 :rule refl :args (@t512)) % 169.74/170.05 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 169.74/170.05 (step @p576 :rule ho_cong :premises (@p569 @p548)) % 169.74/170.05 (step @p577 :rule ho_cong :premises (@p576 @p401)) % 169.74/170.05 (step @p578 :rule trans :premises (@p577 @p575)) % 169.74/170.05 (step @p579 :rule cong :premises (@p578) :args (@t619)) % 169.74/170.05 (step @p580 :rule nary_cong :premises (@p579 @p565 @p552) :args (@t620)) % 169.74/170.05 (step @p581 :rule cong :premises (@p580) :args (@t621)) % 169.74/170.05 (step @p582 :rule refl :args (tptp.thesis)) % 169.74/170.05 (step @p583 :rule nary_cong :premises (@p582 @p581) :args (@t622)) % 169.74/170.05 (step @p584 :rule quant-miniscope-or :args ((= (forall @t515 @t623) @t622))) % 169.74/170.05 (step @p585 :rule aci_norm :args ((= @t624 @t623))) % 169.74/170.05 (step @p586 :rule cong :premises (@p585) :args ((forall @t515 @t624))) % 169.74/170.05 (step @p587 :rule trans :premises (@p586 @p584)) % 169.74/170.05 (step @p588 :rule trans :premises (@p587 @p583)) % 169.74/170.05 (step @p589 :rule aci_norm :args ((= (or @t620 tptp.thesis) @t624))) % 169.74/170.05 (step @p590 :rule refl :args (tptp.thesis)) % 169.74/170.05 (step @p591 :rule bool-double-not-elim :args (@t615)) % 169.74/170.05 (step @p592 :rule refl :args (@t618)) % 169.74/170.05 (step @p593 :rule refl :args (@t619)) % 169.74/170.05 (step @p594 :rule nary_cong :premises (@p593 @p592 @p591) :args (@t627)) % 169.74/170.05 (step @p595 :rule aci_norm :args ((= (or @t619 (or @t618 @t626)) @t627))) % 169.74/170.05 (step @p596 :rule trans :premises (@p595 @p594)) % 169.74/170.05 (step @p597 :rule bool-and-de-morgan :args (@t617 @t625 true)) % 169.74/170.05 (step @p598 :rule nary_cong :premises (@p593 @p597) :args ((or @t619 (not @t628)))) % 169.74/170.05 (step @p599 :rule bool-and-de-morgan :args (@t512 @t617 (and @t625))) % 169.74/170.05 (step @p600 :rule trans :premises (@p599 @p598)) % 169.74/170.05 (step @p601 :rule trans :premises (@p600 @p596)) % 169.74/170.05 (step @p602 :rule nary_cong :premises (@p601 @p590) :args ((or (not @t629) tptp.thesis))) % 169.74/170.05 (step @p603 :rule trans :premises (@p602 @p589)) % 169.74/170.05 (step @p604 :rule bool-impl-elim :args (@t629 tptp.thesis)) % 169.74/170.05 (step @p605 :rule trans :premises (@p604 @p603)) % 169.74/170.05 (step @p606 :rule cong :premises (@p605) :args ((forall @t515 (=> @t629 tptp.thesis)))) % 169.74/170.05 (step @p607 :rule trans :premises (@p606 @p588)) % 169.74/170.05 (step @p608 :rule aci_norm :args ((= (and @t512 @t628) @t629))) % 169.74/170.05 (step @p609 :rule beta-reduce :args ((= (_ @t630 tptp.e) @t628))) % 169.74/170.05 (step @p610 :rule beta-reduce :args ((= @t631 @t630))) % 169.74/170.05 (step @p611 :rule ho_cong :premises (@p610 @p430)) % 169.74/170.05 (step @p612 :rule trans :premises (@p611 @p609)) % 169.74/170.05 (step @p613 :rule refl :args (@t512)) % 169.74/170.05 (step @p614 :rule nary_cong :premises (@p613 @p612) :args (@t632)) % 169.74/170.05 (step @p615 :rule trans :premises (@p614 @p608)) % 169.74/170.05 (step @p616 :rule cong :premises (@p615 @p582) :args (@t633)) % 169.74/170.05 (step @p617 :rule cong :premises (@p616) :args ((forall @t515 @t633))) % 169.74/170.05 (step @p618 :rule trans :premises (@p617 @p607)) % 169.74/170.05 (step @p619 :rule refl :args (@t511)) % 169.74/170.05 (step @p620 :rule ho_cong :premises (@p327 @p619)) % 169.74/170.05 (step @p621 :rule ho_cong :premises (@p620 @p430)) % 169.74/170.05 (step @p622 :rule nary_cong :premises (@p613 @p621) :args (@t513)) % 169.74/170.05 (step @p623 :rule cong :premises (@p622 @p582) :args (@t514)) % 169.74/170.05 (step @p624 :rule cong :premises (@p623) :args (@t516)) % 169.74/170.05 (step @p625 :rule trans :premises (@p624 @p618)) % 169.74/170.05 (step @p626 :rule trans :premises (@p625 @p533 @p512)) % 169.74/170.05 (step @p627 :rule eq_resolve :premises (@p324 @p626)) % 169.74/170.05 (step @p628 :rule instantiate :premises (@p627) :args ((@list @t593 @t592))) % 169.74/170.05 (step @p629 :rule cnf_or_neg :args (@t581 2)) % 169.74/170.05 (step @p630 :rule chain_m_resolution :premises (@p629 @p453) :args ((not @t577) @t582 @t583)) % 169.74/170.05 (step @p631 :rule false_intro :premises (@p630)) % 169.74/170.05 (step @p632 :rule refl :args (@t522)) % 169.74/170.05 (step @p633 :rule refl :args (@t574)) % 169.74/170.05 ; trust TRUST PREPROCESS_HO_ELIM % 169.74/170.05 (step @p634 :rule trust :premises () :args ((= @t635 (= @t523 @t634)))) % 169.74/170.05 ; trust TRUST PREPROCESS_HO_ELIM % 169.74/170.05 (step @p635 :rule trust :premises () :args ((= @t440 @t635))) % 169.74/170.05 (step @p636 :rule trans :premises (@p635 @p634)) % 169.74/170.05 (step @p637 :rule eq_resolve :premises (@p282 @p636)) % 169.74/170.05 (step @p638 :rule symm :premises (@p637)) % 169.74/170.05 (step @p639 :rule cong :premises (@p638 @p633) :args (@t636)) % 169.74/170.05 (step @p640 :rule cong :premises (@p639 @p632) :args ((_ @t525 @t636 @t522))) % 169.74/170.05 (step @p641 :rule symm :premises (@p639)) % 169.74/170.05 (step @p642 :rule refl :args (@t523)) % 169.74/170.05 (step @p643 :rule cong :premises (@p642 @p506) :args (@t637)) % 169.74/170.05 (step @p644 :rule trans :premises (@p643 @p641)) % 169.74/170.05 (step @p645 :rule cong :premises (@p644 @p632) :args (@t638)) % 169.74/170.05 (step @p646 :rule trans :premises (@p645 @p640)) % 169.74/170.05 (step @p647 :rule cong :premises (@p430 @p646) :args (@t639)) % 169.74/170.05 (step @p648 :rule trans :premises (@p647 @p631)) % 169.74/170.05 (step @p649 :rule false_elim :premises (@p648)) % 169.74/170.05 (step @p650 :rule bool-double-not-elim :args (@t578)) % 169.74/170.06 (step @p651 :rule nary_cong :premises (@p455 @p650) :args ((or @t581 (not @t579)))) % 169.74/170.06 (step @p652 :rule cnf_or_neg :args (@t581 1)) % 169.74/170.06 (step @p653 :rule eq_resolve :premises (@p652 @p651)) % 169.74/170.06 (step @p654 :rule reordering :premises (@p653) :args ((or @t578 @t581))) % 169.74/170.06 (step @p655 :rule chain_m_resolution :premises (@p654 @p453) :args (@t578 @t582 @t583)) % 169.74/170.06 (step @p656 :rule true_intro :premises (@p655)) % 169.74/170.06 (step @p657 :rule refl :args (@t527)) % 169.74/170.06 (step @p658 :rule cong :premises (@p657 @p646) :args (@t640)) % 169.74/170.06 (step @p659 :rule cong :premises (@p658 @p430) :args (@t641)) % 169.74/170.06 (step @p660 :rule trans :premises (@p659 @p656)) % 169.74/170.06 (step @p661 :rule true_elim :premises (@p660)) % 169.74/170.06 (step @p662 :rule cnf_or_pos :args (@t644)) % 169.74/170.06 (step @p663 :rule reordering :premises (@p662) :args ((or @t643 @t642 @t639 (not @t644)))) % 169.74/170.06 (step @p664 false :rule chain_m_resolution :premises (@p663 @p661 @p649 @p628 @p511) :args (false (@list false true false false) (@list @t641 @t639 @t644 @t599))) % 169.74/170.06 ) % 169.74/170.06 % SZS output end Proof % 169.74/170.06 % cvc5 exiting %------------------------------------------------------------------------------