%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP141^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:25:10 AM UTC 2026 % Result : Theorem 0.45s 1.02s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP141^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:15:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.38/0.61 %----Proving TH0 % 0.45/1.02 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/1.02 % SZS status Theorem % 0.45/1.02 % SZS output start Proof % 0.45/1.02 ( % 0.45/1.02 (declare-sort tptp.com 0) % 0.45/1.02 (declare-sort tptp.nat 0) % 0.45/1.02 (declare-sort tptp.state 0) % 0.45/1.02 (declare-sort tptp.set_Pr1590995257tate_o 0) % 0.45/1.02 (declare-sort tptp.product_prod_nat_nat 0) % 0.45/1.02 (declare-sort tptp.set_Pr1986765409at_nat 0) % 0.45/1.02 (declare-sort tptp.produc204914599tate_o 0) % 0.45/1.02 (declare-sort tptp.set_Pr1740974983tate_o 0) % 0.45/1.02 (declare-sort tptp.a 0) % 0.45/1.02 (declare-sort tptp.set_Pr795498619_state 0) % 0.45/1.02 (declare-sort tptp.produc696469763tate_o 0) % 0.45/1.02 (declare-sort tptp.produc1307154919tate_o 0) % 0.45/1.02 (declare-sort tptp.set_state 0) % 0.45/1.02 (declare-sort tptp.produc842455143at_nat 0) % 0.45/1.02 (declare-sort tptp.set_Pr1490359111at_nat 0) % 0.45/1.02 (declare-sort tptp.produc1390548711_state 0) % 0.45/1.02 (declare-sort tptp.set_Pr778812871_state 0) % 0.45/1.02 (declare-sort tptp.produc1115495963_state 0) % 0.45/1.02 (declare-sort tptp.set_nat 0) % 0.45/1.02 (declare-sort tptp.set_Pr1702239303tate_o 0) % 0.45/1.02 (declare-const tptp.member1389040324_state (-> tptp.produc1115495963_state tptp.set_Pr795498619_state Bool)) % 0.45/1.02 (declare-const tptp.collec496201222_state (-> (-> tptp.produc1115495963_state Bool) tptp.set_Pr795498619_state)) % 0.45/1.02 (declare-const tptp.member701585322at_nat (-> tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat Bool)) % 0.45/1.02 (declare-const tptp.collec7649004at_nat (-> (-> tptp.product_prod_nat_nat Bool) tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (declare-const tptp.member1838112666tate_o (-> tptp.produc696469763tate_o tptp.set_Pr1590995257tate_o Bool)) % 0.45/1.02 (declare-const tptp.collec1499596504tate_o (-> (-> tptp.produc696469763tate_o Bool) tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (declare-const tptp.bot_bo170732493tate_o tptp.set_Pr1590995257tate_o) % 0.45/1.02 (declare-const tptp.the_el1569055182tate_o (-> tptp.set_Pr1590995257tate_o tptp.produc696469763tate_o)) % 0.45/1.02 (declare-const tptp.bot_bo2130386637at_nat tptp.set_Pr1986765409at_nat) % 0.45/1.02 (declare-const tptp.the_el1949240438at_nat (-> tptp.set_Pr1986765409at_nat tptp.product_prod_nat_nat)) % 0.45/1.02 (declare-const tptp.bot_bo1625160935_state tptp.set_Pr795498619_state) % 0.45/1.02 (declare-const tptp.the_el1967402896_state (-> tptp.set_Pr795498619_state tptp.produc1115495963_state)) % 0.45/1.02 (declare-const tptp.produc64584659_state (-> tptp.state tptp.state tptp.produc1115495963_state)) % 0.45/1.02 (declare-const tptp.product_Pair_nat_nat (-> tptp.nat tptp.nat tptp.product_prod_nat_nat)) % 0.45/1.02 (declare-const tptp.produc1964772951_state (-> tptp.produc1115495963_state tptp.produc1115495963_state tptp.produc1390548711_state)) % 0.45/1.02 (declare-const tptp.member768948240_state (-> tptp.produc1390548711_state tptp.set_Pr778812871_state Bool)) % 0.45/1.02 (declare-const tptp.produc1168807639at_nat (-> tptp.product_prod_nat_nat tptp.product_prod_nat_nat tptp.produc842455143at_nat)) % 0.45/1.02 (declare-const tptp.member2027625872at_nat (-> tptp.produc842455143at_nat tptp.set_Pr1490359111at_nat Bool)) % 0.45/1.02 (declare-const tptp.produc1684562079tate_o (-> tptp.produc696469763tate_o tptp.produc696469763tate_o tptp.produc1307154919tate_o)) % 0.45/1.02 (declare-const tptp.member1629320336tate_o (-> tptp.produc1307154919tate_o tptp.set_Pr1702239303tate_o Bool)) % 0.45/1.02 (declare-const tptp.bot_bo1692783091tate_o tptp.set_Pr1740974983tate_o) % 0.45/1.02 (declare-const tptp.produc1948644831tate_o (-> tptp.com (-> tptp.a tptp.state Bool) tptp.produc204914599tate_o)) % 0.45/1.02 (declare-const tptp.member221067728tate_o (-> tptp.produc204914599tate_o tptp.set_Pr1740974983tate_o Bool)) % 0.45/1.02 (declare-const tptp.produc33908149tate_o (-> (-> tptp.a tptp.state Bool) tptp.produc204914599tate_o tptp.produc696469763tate_o)) % 0.45/1.02 (declare-const tptp.member_state (-> tptp.state tptp.set_state Bool)) % 0.45/1.02 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.45/1.02 (declare-const tptp.collect_state (-> (-> tptp.state Bool) tptp.set_state)) % 0.45/1.02 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.45/1.02 (declare-const tptp.execn (-> tptp.state tptp.com tptp.nat tptp.state Bool)) % 0.45/1.02 (declare-const tptp.x tptp.state) % 0.45/1.02 (declare-const tptp.qa (-> tptp.a tptp.state Bool)) % 0.45/1.02 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.45/1.02 (declare-const tptp.trans_nat (-> tptp.set_Pr1986765409at_nat Bool)) % 0.45/1.02 (declare-const tptp.total_795385983tate_o (-> tptp.set_Pr1590995257tate_o tptp.set_Pr1702239303tate_o Bool)) % 0.45/1.02 (declare-const tptp.bot_bo1714653363tate_o tptp.set_Pr1702239303tate_o) % 0.45/1.02 (declare-const tptp.refl_o1438232218_state (-> tptp.set_Pr795498619_state tptp.set_Pr778812871_state Bool)) % 0.45/1.02 (declare-const tptp.bot_bo34127283at_nat tptp.set_Pr1490359111at_nat) % 0.45/1.02 (declare-const tptp.measure_state (-> (-> tptp.state tptp.nat) tptp.set_Pr795498619_state)) % 0.45/1.02 (declare-const tptp.bot_bot_set_nat tptp.set_nat) % 0.45/1.02 (declare-const tptp.insert_state (-> tptp.state tptp.set_state tptp.set_state)) % 0.45/1.02 (declare-const tptp.measure_nat (-> (-> tptp.nat tptp.nat) tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (declare-const tptp.produc789892016tate_o (-> (-> tptp.state tptp.state Bool) tptp.produc1115495963_state Bool)) % 0.45/1.02 (declare-const tptp.insert_nat (-> tptp.nat tptp.set_nat tptp.set_nat)) % 0.45/1.02 (declare-const tptp.termi (-> tptp.com tptp.state Bool)) % 0.45/1.02 (declare-const tptp.less_than tptp.set_Pr1986765409at_nat) % 0.45/1.02 (declare-const tptp.pa (-> tptp.a tptp.state Bool)) % 0.45/1.02 (declare-const tptp.while (-> (-> tptp.state Bool) tptp.com tptp.com)) % 0.45/1.02 (declare-const tptp.produc949581770_nat_o (-> (-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat Bool)) % 0.45/1.02 (declare-const tptp.produc1271576886te_o_o (-> (-> (-> tptp.a tptp.state Bool) tptp.produc204914599tate_o Bool) tptp.produc696469763tate_o Bool)) % 0.45/1.02 (declare-const tptp.call tptp.com) % 0.45/1.02 (declare-const tptp.bot_bot_set_state tptp.set_state) % 0.45/1.02 (declare-const tptp.pred_nat tptp.set_Pr1986765409at_nat) % 0.45/1.02 (declare-const tptp.irrefl_nat (-> tptp.set_Pr1986765409at_nat Bool)) % 0.45/1.02 (declare-const tptp.hoare_a (-> tptp.set_Pr1590995257tate_o (-> tptp.a tptp.state Bool) tptp.com (-> tptp.a tptp.state Bool) Bool)) % 0.45/1.02 (declare-const tptp.body tptp.com) % 0.45/1.02 (declare-const tptp.r tptp.set_Pr795498619_state) % 0.45/1.02 (declare-const tptp.bot_bo1331673139_state tptp.set_Pr778812871_state) % 0.45/1.02 (declare-const tptp.refl_on_state (-> tptp.set_state tptp.set_Pr795498619_state Bool)) % 0.45/1.02 (declare-const tptp.refl_on_nat (-> tptp.set_nat tptp.set_Pr1986765409at_nat Bool)) % 0.45/1.02 (declare-const tptp.insert1597128631tate_o (-> tptp.produc1307154919tate_o tptp.set_Pr1702239303tate_o tptp.set_Pr1702239303tate_o)) % 0.45/1.02 (declare-const tptp.order_130026331on_nat (-> tptp.set_nat tptp.set_Pr1986765409at_nat Bool)) % 0.45/1.02 (declare-const tptp.refl_o1619599232at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1490359111at_nat Bool)) % 0.45/1.02 (declare-const tptp.pHoare382919414oare_a (-> tptp.set_Pr1590995257tate_o (-> tptp.a tptp.state Bool) tptp.com (-> tptp.a tptp.state Bool) Bool)) % 0.45/1.02 (declare-const tptp.total_1316653983_state (-> tptp.set_Pr795498619_state tptp.set_Pr778812871_state Bool)) % 0.45/1.02 (declare-const tptp.insert584009271at_nat (-> tptp.produc842455143at_nat tptp.set_Pr1490359111at_nat tptp.set_Pr1490359111at_nat)) % 0.45/1.02 (declare-const tptp.order_286167592_state (-> tptp.set_state tptp.set_Pr795498619_state Bool)) % 0.45/1.02 (declare-const tptp.total_1775715973at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1490359111at_nat Bool)) % 0.45/1.02 (declare-const tptp.insert1616594103_state (-> tptp.produc1390548711_state tptp.set_Pr778812871_state tptp.set_Pr778812871_state)) % 0.45/1.02 (declare-const tptp.order_50454158tate_o (-> tptp.set_Pr1590995257tate_o tptp.set_Pr1702239303tate_o Bool)) % 0.45/1.02 (declare-const tptp.refl_o489021252tate_o (-> tptp.set_Pr1590995257tate_o tptp.set_Pr1702239303tate_o Bool)) % 0.45/1.02 (declare-const tptp.order_721919926at_nat (-> tptp.set_Pr1986765409at_nat tptp.set_Pr1490359111at_nat Bool)) % 0.45/1.02 (declare-const tptp.produc385877620_nat_o (-> (-> tptp.nat tptp.nat Bool) tptp.product_prod_nat_nat Bool)) % 0.45/1.02 (declare-const tptp.order_178668240_state (-> tptp.set_Pr795498619_state tptp.set_Pr778812871_state Bool)) % 0.45/1.02 (declare-const tptp.produc938968666tate_o (-> (-> tptp.state tptp.state Bool) tptp.produc1115495963_state Bool)) % 0.45/1.02 (declare-const tptp.produc281270436te_o_o (-> (-> tptp.com (-> tptp.a tptp.state Bool) Bool) tptp.produc204914599tate_o Bool)) % 0.45/1.02 (declare-const tptp.produc1654445_state (-> (-> tptp.nat tptp.nat tptp.set_Pr795498619_state) tptp.product_prod_nat_nat tptp.set_Pr795498619_state)) % 0.45/1.02 (declare-const tptp.produc1915186323at_nat (-> (-> tptp.nat tptp.nat tptp.set_Pr1986765409at_nat) tptp.product_prod_nat_nat tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (declare-const tptp.produc1610543495tate_o (-> (-> tptp.nat tptp.nat tptp.set_Pr1590995257tate_o) tptp.product_prod_nat_nat tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.45/1.02 (declare-const tptp.semi (-> tptp.com tptp.com tptp.com)) % 0.45/1.02 (define tptp.insert311944171_state () (let ((_let_1 (@var "B4" tptp.set_Pr795498619_state))) (let ((_let_2 (@var "X" tptp.produc1115495963_state))) (let ((_let_3 (@var "A3" tptp.produc1115495963_state))) (lambda (@list _let_3 _let_1) (_ tptp.collec496201222_state (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member1389040324_state _let_2) _let_1))))))))) % 0.45/1.02 (define tptp.insert271595217at_nat () (let ((_let_1 (@var "B4" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "X" tptp.product_prod_nat_nat))) (let ((_let_3 (@var "A3" tptp.product_prod_nat_nat))) (lambda (@list _let_3 _let_1) (_ tptp.collec7649004at_nat (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member701585322at_nat _let_2) _let_1))))))))) % 0.45/1.02 (define tptp.insert2053719859tate_o () (let ((_let_1 (@var "B4" tptp.set_Pr1590995257tate_o))) (let ((_let_2 (@var "X" tptp.produc696469763tate_o))) (let ((_let_3 (@var "A3" tptp.produc696469763tate_o))) (lambda (@list _let_3 _let_1) (_ tptp.collec1499596504tate_o (lambda (@list _let_2) (or (= _let_2 _let_3) (_ (_ tptp.member1838112666tate_o _let_2) _let_1))))))))) % 0.45/1.02 (define tptp.is_sin1547905295tate_o () (let ((_let_1 (@var "A5" tptp.set_Pr1590995257tate_o))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert2053719859tate_o (_ tptp.the_el1569055182tate_o _let_1)) tptp.bot_bo170732493tate_o))))) % 0.45/1.02 (define tptp.is_sin1352690165at_nat () (let ((_let_1 (@var "A5" tptp.set_Pr1986765409at_nat))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert271595217at_nat (_ tptp.the_el1949240438at_nat _let_1)) tptp.bot_bo2130386637at_nat))))) % 0.45/1.02 (define tptp.is_sin1132515087_state () (let ((_let_1 (@var "A5" tptp.set_Pr795498619_state))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert311944171_state (_ tptp.the_el1967402896_state _let_1)) tptp.bot_bo1625160935_state))))) % 0.45/1.02 (define tptp.wf_state () (let ((_let_1 (@var "X4" tptp.state))) (let ((_let_2 (@var "P4" (-> tptp.state Bool)))) (let ((_let_3 (@var "X" tptp.state))) (let ((_let_4 (@var "Y5" tptp.state))) (let ((_let_5 (@var "R3" tptp.set_Pr795498619_state))) (lambda (@list _let_5) (forall (@list _let_2) (=> (forall (@list _let_3) (=> (forall (@list _let_4) (=> (_ (_ tptp.member1389040324_state (_ (_ tptp.produc64584659_state _let_4) _let_3)) _let_5) (_ _let_2 _let_4))) (_ _let_2 _let_3))) (forall (@list _let_1) (_ _let_2 _let_1))))))))))) % 0.45/1.02 (define tptp.wf_nat () (let ((_let_1 (@var "X4" tptp.nat))) (let ((_let_2 (@var "P4" (-> tptp.nat Bool)))) (let ((_let_3 (@var "X" tptp.nat))) (let ((_let_4 (@var "Y5" tptp.nat))) (let ((_let_5 (@var "R3" tptp.set_Pr1986765409at_nat))) (lambda (@list _let_5) (forall (@list _let_2) (=> (forall (@list _let_3) (=> (forall (@list _let_4) (=> (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat _let_4) _let_3)) _let_5) (_ _let_2 _let_4))) (_ _let_2 _let_3))) (forall (@list _let_1) (_ _let_2 _let_1))))))))))) % 0.45/1.02 (define tptp.wf_Pro1783588484_state () (let ((_let_1 (@var "Q4" tptp.set_Pr795498619_state))) (let ((_let_2 (@var "Y5" tptp.produc1115495963_state))) (let ((_let_3 (@var "R3" tptp.set_Pr778812871_state))) (let ((_let_4 (@var "X" tptp.produc1115495963_state))) (let ((_let_5 (_ (_ tptp.member1389040324_state _let_4) _let_1))) (let ((_let_6 (@list _let_4))) (lambda (@list _let_3) (forall (@list _let_1) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_2) (=> (_ (_ tptp.member768948240_state (_ (_ tptp.produc1964772951_state _let_2) _let_4)) _let_3) (not (_ (_ tptp.member1389040324_state _let_2) _let_1)))))))))))))))) % 0.45/1.02 (define tptp.wf_Pro745352042at_nat () (let ((_let_1 (@var "Q4" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "Y5" tptp.product_prod_nat_nat))) (let ((_let_3 (@var "R3" tptp.set_Pr1490359111at_nat))) (let ((_let_4 (@var "X" tptp.product_prod_nat_nat))) (let ((_let_5 (_ (_ tptp.member701585322at_nat _let_4) _let_1))) (let ((_let_6 (@list _let_4))) (lambda (@list _let_3) (forall (@list _let_1) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_2) (=> (_ (_ tptp.member2027625872at_nat (_ (_ tptp.produc1168807639at_nat _let_2) _let_4)) _let_3) (not (_ (_ tptp.member701585322at_nat _let_2) _let_1)))))))))))))))) % 0.45/1.02 (define tptp.wf_Pro309705690tate_o () (let ((_let_1 (@var "Q4" tptp.set_Pr1590995257tate_o))) (let ((_let_2 (@var "Y5" tptp.produc696469763tate_o))) (let ((_let_3 (@var "R3" tptp.set_Pr1702239303tate_o))) (let ((_let_4 (@var "X" tptp.produc696469763tate_o))) (let ((_let_5 (_ (_ tptp.member1838112666tate_o _let_4) _let_1))) (let ((_let_6 (@list _let_4))) (lambda (@list _let_3) (forall (@list _let_1) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_2) (=> (_ (_ tptp.member1629320336tate_o (_ (_ tptp.produc1684562079tate_o _let_2) _let_4)) _let_3) (not (_ (_ tptp.member1838112666tate_o _let_2) _let_1)))))))))))))))) % 0.45/1.02 (define tptp.bot_bo935656620te_o_o () (let ((_let_1 (@var "Y5" (-> tptp.a tptp.state Bool)))) (let ((_let_2 (@var "X" tptp.com))) (lambda (@list _let_2 _let_1) (_ (_ tptp.member221067728tate_o (_ (_ tptp.produc1948644831tate_o _let_2) _let_1)) tptp.bot_bo1692783091tate_o))))) % 0.45/1.02 (define tptp.bot_bo2130564770te_o_o () (let ((_let_1 (@var "Y5" tptp.produc204914599tate_o))) (let ((_let_2 (@var "X" (-> tptp.a tptp.state Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.member1838112666tate_o (_ (_ tptp.produc33908149tate_o _let_2) _let_1)) tptp.bot_bo170732493tate_o))))) % 0.45/1.02 (define tptp.bot_bot_nat_nat_o () (let ((_let_1 (@var "Y5" tptp.nat))) (let ((_let_2 (@var "X" tptp.nat))) (lambda (@list _let_2 _let_1) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat _let_2) _let_1)) tptp.bot_bo2130386637at_nat))))) % 0.45/1.02 (define tptp.bot_bo51534648tate_o () (let ((_let_1 (@var "Y5" tptp.state))) (let ((_let_2 (@var "X" tptp.state))) (lambda (@list _let_2 _let_1) (_ (_ tptp.member1389040324_state (_ (_ tptp.produc64584659_state _let_2) _let_1)) tptp.bot_bo1625160935_state))))) % 0.45/1.02 (define tptp.is_emp807847857tate_o () (let ((_let_1 (@var "A5" tptp.set_Pr1590995257tate_o))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo170732493tate_o)))) % 0.45/1.02 (define tptp.is_emp825011411at_nat () (let ((_let_1 (@var "A5" tptp.set_Pr1986765409at_nat))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo2130386637at_nat)))) % 0.45/1.02 (define tptp.is_emp1062983149_state () (let ((_let_1 (@var "A5" tptp.set_Pr795498619_state))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo1625160935_state)))) % 0.45/1.02 (define tptp.bot_bo250281208te_o_o () (let ((_let_1 (@var "X" tptp.produc696469763tate_o))) (lambda (@list _let_1) (_ (_ tptp.member1838112666tate_o _let_1) tptp.bot_bo170732493tate_o)))) % 0.45/1.02 (define tptp.bot_bo513358416_nat_o () (let ((_let_1 (@var "X" tptp.product_prod_nat_nat))) (lambda (@list _let_1) (_ (_ tptp.member701585322at_nat _let_1) tptp.bot_bo2130386637at_nat)))) % 0.45/1.02 (define tptp.bot_bo446391478tate_o () (let ((_let_1 (@var "X" tptp.produc1115495963_state))) (lambda (@list _let_1) (_ (_ tptp.member1389040324_state _let_1) tptp.bot_bo1625160935_state)))) % 0.45/1.02 (define tptp.total_on_state () (let ((_let_1 (@var "R3" tptp.set_Pr795498619_state))) (let ((_let_2 (@var "X" tptp.state))) (let ((_let_3 (@var "Y5" tptp.state))) (let ((_let_4 (@var "A5" tptp.set_state))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_state _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_state _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member1389040324_state (_ (_ tptp.produc64584659_state _let_2) _let_3)) _let_1) (_ (_ tptp.member1389040324_state (_ (_ tptp.produc64584659_state _let_3) _let_2)) _let_1))))))))))))) % 0.45/1.02 (define tptp.total_on_nat () (let ((_let_1 (@var "R3" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "X" tptp.nat))) (let ((_let_3 (@var "Y5" tptp.nat))) (let ((_let_4 (@var "A5" tptp.set_nat))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.member_nat _let_2) _let_4) (forall (@list _let_3) (=> (_ (_ tptp.member_nat _let_3) _let_4) (=> (not (= _let_2 _let_3)) (or (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat _let_2) _let_3)) _let_1) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat _let_3) _let_2)) _let_1))))))))))))) % 0.45/1.02 (define tptp.order_2027321734_state () (let ((_let_1 (@var "R3" tptp.set_Pr778812871_state))) (let ((_let_2 (@var "B7" tptp.produc1115495963_state))) (let ((_let_3 (@var "A3" tptp.produc1115495963_state))) (lambda (@list _let_1 _let_3) (_ tptp.collec496201222_state (lambda (@list _let_2) (and (not (= _let_2 _let_3)) (_ (_ tptp.member768948240_state (_ (_ tptp.produc1964772951_state _let_3) _let_2)) _let_1))))))))) % 0.45/1.02 (define tptp.order_665764460at_nat () (let ((_let_1 (@var "R3" tptp.set_Pr1490359111at_nat))) (let ((_let_2 (@var "B7" tptp.product_prod_nat_nat))) (let ((_let_3 (@var "A3" tptp.product_prod_nat_nat))) (lambda (@list _let_1 _let_3) (_ tptp.collec7649004at_nat (lambda (@list _let_2) (and (not (= _let_2 _let_3)) (_ (_ tptp.member2027625872at_nat (_ (_ tptp.produc1168807639at_nat _let_3) _let_2)) _let_1))))))))) % 0.45/1.02 (define tptp.order_1121016664tate_o () (let ((_let_1 (@var "R3" tptp.set_Pr1702239303tate_o))) (let ((_let_2 (@var "B7" tptp.produc696469763tate_o))) (let ((_let_3 (@var "A3" tptp.produc696469763tate_o))) (lambda (@list _let_1 _let_3) (_ tptp.collec1499596504tate_o (lambda (@list _let_2) (and (not (= _let_2 _let_3)) (_ (_ tptp.member1629320336tate_o (_ (_ tptp.produc1684562079tate_o _let_3) _let_2)) _let_1))))))))) % 0.45/1.02 (define tptp.order_aboveS_state () (let ((_let_1 (@var "R3" tptp.set_Pr795498619_state))) (let ((_let_2 (@var "B7" tptp.state))) (let ((_let_3 (@var "A3" tptp.state))) (lambda (@list _let_1 _let_3) (_ tptp.collect_state (lambda (@list _let_2) (and (not (= _let_2 _let_3)) (_ (_ tptp.member1389040324_state (_ (_ tptp.produc64584659_state _let_3) _let_2)) _let_1))))))))) % 0.45/1.02 (define tptp.order_aboveS_nat () (let ((_let_1 (@var "R3" tptp.set_Pr1986765409at_nat))) (let ((_let_2 (@var "B7" tptp.nat))) (let ((_let_3 (@var "A3" tptp.nat))) (lambda (@list _let_1 _let_3) (_ tptp.collect_nat (lambda (@list _let_2) (and (not (= _let_2 _let_3)) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat _let_3) _let_2)) _let_1))))))))) % 0.45/1.02 (define tptp.exec () (let ((_let_1 (@var "T3" tptp.state))) (let ((_let_2 (@var "N2" tptp.nat))) (let ((_let_3 (@var "C5" tptp.com))) (let ((_let_4 (@var "S4" tptp.state))) (lambda (@list _let_4 _let_3 _let_1) (exists (@list _let_2) (_ (_ (_ (_ tptp.execn _let_4) _let_3) _let_2) _let_1)))))))) % 0.45/1.02 (define @t1 () (@var "Q" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t2 () (@var "P" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t3 () (_ tptp.produc1948644831tate_o tptp.call)) % 0.45/1.02 (define @t4 () (_ @t3 @t1)) % 0.45/1.02 (define @t5 () (_ (_ tptp.insert2053719859tate_o (_ (_ tptp.produc33908149tate_o @t2) @t4)) tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t6 () (@list @t2 @t1)) % 0.45/1.02 (define @t7 () (@var "Q2" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t8 () (@var "C2" tptp.com)) % 0.45/1.02 (define @t9 () (@var "C" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t10 () (_ tptp.pHoare382919414oare_a @t9)) % 0.45/1.02 (define @t11 () (_ @t10 @t2)) % 0.45/1.02 (define @t12 () (_ @t11 @t8)) % 0.45/1.02 (define @t13 () (@var "S" tptp.state)) % 0.45/1.02 (define @t14 () (@var "Z" tptp.a)) % 0.45/1.02 (define @t15 () (_ @t1 @t14)) % 0.45/1.02 (define @t16 () (@list @t14 @t13)) % 0.45/1.02 (define @t17 () (_ @t12 @t1)) % 0.45/1.02 (define @t18 () (@var "Z2" tptp.a)) % 0.45/1.02 (define @t19 () (@var "P2" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t20 () (_ (_ @t19 @t18) @t13)) % 0.45/1.02 (define @t21 () (@list @t18)) % 0.45/1.02 (define @t22 () (_ (_ @t2 @t14) @t13)) % 0.45/1.02 (define @t23 () (@list @t14)) % 0.45/1.02 (define @t24 () (@list @t13)) % 0.45/1.02 (define @t25 () (@var "T" tptp.state)) % 0.45/1.02 (define @t26 () (@list @t13 @t25)) % 0.45/1.02 (define @t27 () (_ (_ @t10 @t19) @t8)) % 0.45/1.02 (define @t28 () (@var "A" tptp.produc1115495963_state)) % 0.45/1.02 (define @t29 () (_ tptp.insert311944171_state @t28)) % 0.45/1.02 (define @t30 () (_ @t29 tptp.bot_bo1625160935_state)) % 0.45/1.02 (define @t31 () (@var "X" tptp.produc1115495963_state)) % 0.45/1.02 (define @t32 () (= @t31 @t28)) % 0.45/1.02 (define @t33 () (@list @t31)) % 0.45/1.02 (define @t34 () (@list @t28)) % 0.45/1.02 (define @t35 () (@var "A" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t36 () (_ tptp.insert271595217at_nat @t35)) % 0.45/1.02 (define @t37 () (_ @t36 tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (define @t38 () (@var "X" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t39 () (= @t38 @t35)) % 0.45/1.02 (define @t40 () (@list @t38)) % 0.45/1.02 (define @t41 () (@list @t35)) % 0.45/1.02 (define @t42 () (@var "A" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t43 () (_ tptp.insert2053719859tate_o @t42)) % 0.45/1.02 (define @t44 () (_ @t43 tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t45 () (@var "X" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t46 () (= @t45 @t42)) % 0.45/1.02 (define @t47 () (@list @t45)) % 0.45/1.02 (define @t48 () (@list @t42)) % 0.45/1.02 (define @t49 () (@var "Z3" tptp.produc1115495963_state)) % 0.45/1.02 (define @t50 () (@var "Y" tptp.produc1115495963_state)) % 0.45/1.02 (define @t51 () (@var "Z3" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t52 () (@var "Y" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t53 () (@var "Z3" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t54 () (@var "Y" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t55 () (_ tptp.member1389040324_state @t28)) % 0.45/1.02 (define @t56 () (_ tptp.member701585322at_nat @t35)) % 0.45/1.02 (define @t57 () (_ tptp.member1838112666tate_o @t42)) % 0.45/1.02 (define @t58 () (@var "S2" tptp.state)) % 0.45/1.02 (define @t59 () (_ tptp.termi tptp.body)) % 0.45/1.02 (define @t60 () (@var "T2" tptp.state)) % 0.45/1.02 (define @t61 () (_ tptp.exec @t58)) % 0.45/1.02 (define @t62 () (@var "S3" tptp.state)) % 0.45/1.02 (define @t63 () (@var "S4" tptp.state)) % 0.45/1.02 (define @t64 () (@var "Z4" tptp.a)) % 0.45/1.02 (define @t65 () (_ (_ @t2 @t64) @t63)) % 0.45/1.02 (define @t66 () (@list @t64 @t63)) % 0.45/1.02 (define @t67 () (@var "R" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t68 () (_ tptp.produc64584659_state @t63)) % 0.45/1.02 (define @t69 () (lambda @t66 (and @t65 (_ (_ tptp.member1389040324_state (_ @t68 @t62)) @t67)))) % 0.45/1.02 (define @t70 () (@list @t62)) % 0.45/1.02 (define @t71 () (_ tptp.wf_state @t67)) % 0.45/1.02 (define @t72 () (@var "B" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t73 () (@var "B2" tptp.produc1115495963_state)) % 0.45/1.02 (define @t74 () (_ tptp.insert311944171_state @t73)) % 0.45/1.02 (define @t75 () (_ @t74 @t72)) % 0.45/1.02 (define @t76 () (_ @t55 @t75)) % 0.45/1.02 (define @t77 () (= @t28 @t73)) % 0.45/1.02 (define @t78 () (_ @t55 @t72)) % 0.45/1.02 (define @t79 () (@list @t28 @t72 @t73)) % 0.45/1.02 (define @t80 () (@var "B" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t81 () (@var "B2" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t82 () (_ tptp.insert271595217at_nat @t81)) % 0.45/1.02 (define @t83 () (_ @t82 @t80)) % 0.45/1.02 (define @t84 () (_ @t56 @t83)) % 0.45/1.02 (define @t85 () (= @t35 @t81)) % 0.45/1.02 (define @t86 () (_ @t56 @t80)) % 0.45/1.02 (define @t87 () (@list @t35 @t80 @t81)) % 0.45/1.02 (define @t88 () (@var "B" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t89 () (@var "B2" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t90 () (_ tptp.insert2053719859tate_o @t89)) % 0.45/1.02 (define @t91 () (_ @t90 @t88)) % 0.45/1.02 (define @t92 () (_ @t57 @t91)) % 0.45/1.02 (define @t93 () (= @t42 @t89)) % 0.45/1.02 (define @t94 () (_ @t57 @t88)) % 0.45/1.02 (define @t95 () (@list @t42 @t88 @t89)) % 0.45/1.02 (define @t96 () (@var "A2" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t97 () (_ @t55 @t96)) % 0.45/1.02 (define @t98 () (_ @t55 (_ @t74 @t96))) % 0.45/1.02 (define @t99 () (@list @t28 @t73 @t96)) % 0.45/1.02 (define @t100 () (@var "A2" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t101 () (_ @t56 @t100)) % 0.45/1.02 (define @t102 () (_ @t56 (_ @t82 @t100))) % 0.45/1.02 (define @t103 () (@list @t35 @t81 @t100)) % 0.45/1.02 (define @t104 () (@var "A2" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t105 () (_ @t57 @t104)) % 0.45/1.02 (define @t106 () (_ @t57 (_ @t90 @t104))) % 0.45/1.02 (define @t107 () (@list @t42 @t89 @t104)) % 0.45/1.02 (define @t108 () (@var "X2" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t109 () (_ tptp.insert2053719859tate_o @t108)) % 0.45/1.02 (define @t110 () (_ @t109 @t104)) % 0.45/1.02 (define @t111 () (@list @t108 @t104)) % 0.45/1.02 (define @t112 () (@var "X2" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t113 () (_ tptp.insert271595217at_nat @t112)) % 0.45/1.02 (define @t114 () (_ @t113 @t100)) % 0.45/1.02 (define @t115 () (@list @t112 @t100)) % 0.45/1.02 (define @t116 () (@var "X2" tptp.produc1115495963_state)) % 0.45/1.02 (define @t117 () (_ tptp.insert311944171_state @t116)) % 0.45/1.02 (define @t118 () (_ @t117 @t96)) % 0.45/1.02 (define @t119 () (@list @t116 @t96)) % 0.45/1.02 (define @t120 () (_ (_ tptp.hoare_a @t5) @t2)) % 0.45/1.02 (define @t121 () (@var "C2" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t122 () (@var "C2" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t123 () (@var "C2" tptp.produc1115495963_state)) % 0.45/1.02 (define @t124 () (= @t104 tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t125 () (_ tptp.member1838112666tate_o @t45)) % 0.45/1.02 (define @t126 () (_ @t125 @t104)) % 0.45/1.02 (define @t127 () (@list @t104)) % 0.45/1.02 (define @t128 () (= @t100 tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (define @t129 () (_ tptp.member701585322at_nat @t38)) % 0.45/1.02 (define @t130 () (_ @t129 @t100)) % 0.45/1.02 (define @t131 () (@list @t100)) % 0.45/1.02 (define @t132 () (= @t96 tptp.bot_bo1625160935_state)) % 0.45/1.02 (define @t133 () (_ tptp.member1389040324_state @t31)) % 0.45/1.02 (define @t134 () (_ @t133 @t96)) % 0.45/1.02 (define @t135 () (@list @t96)) % 0.45/1.02 (define @t136 () (@var "P" (-> tptp.produc696469763tate_o Bool))) % 0.45/1.02 (define @t137 () (_ @t136 @t45)) % 0.45/1.02 (define @t138 () (forall @t47 (not @t137))) % 0.45/1.02 (define @t139 () (_ tptp.collec1499596504tate_o @t136)) % 0.45/1.02 (define @t140 () (@list @t136)) % 0.45/1.02 (define @t141 () (@var "P" (-> tptp.product_prod_nat_nat Bool))) % 0.45/1.02 (define @t142 () (_ @t141 @t38)) % 0.45/1.02 (define @t143 () (forall @t40 (not @t142))) % 0.45/1.02 (define @t144 () (_ tptp.collec7649004at_nat @t141)) % 0.45/1.02 (define @t145 () (@list @t141)) % 0.45/1.02 (define @t146 () (@var "P" (-> tptp.produc1115495963_state Bool))) % 0.45/1.02 (define @t147 () (_ @t146 @t31)) % 0.45/1.02 (define @t148 () (forall @t33 (not @t147))) % 0.45/1.02 (define @t149 () (_ tptp.collec496201222_state @t146)) % 0.45/1.02 (define @t150 () (@list @t146)) % 0.45/1.02 (define @t151 () (= @t139 tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t152 () (= @t144 tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (define @t153 () (= @t149 tptp.bot_bo1625160935_state)) % 0.45/1.02 (define @t154 () (not @t124)) % 0.45/1.02 (define @t155 () (not @t128)) % 0.45/1.02 (define @t156 () (not @t132)) % 0.45/1.02 (define @t157 () (@var "Y2" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t158 () (_ tptp.member1838112666tate_o @t157)) % 0.45/1.02 (define @t159 () (_ @t158 @t104)) % 0.45/1.02 (define @t160 () (@list @t157)) % 0.45/1.02 (define @t161 () (@var "Y2" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t162 () (_ tptp.member701585322at_nat @t161)) % 0.45/1.02 (define @t163 () (_ @t162 @t100)) % 0.45/1.02 (define @t164 () (@list @t161)) % 0.45/1.02 (define @t165 () (@var "Y2" tptp.produc1115495963_state)) % 0.45/1.02 (define @t166 () (_ tptp.member1389040324_state @t165)) % 0.45/1.02 (define @t167 () (_ @t166 @t96)) % 0.45/1.02 (define @t168 () (@list @t165)) % 0.45/1.02 (define @t169 () (not @t105)) % 0.45/1.02 (define @t170 () (not @t101)) % 0.45/1.02 (define @t171 () (not @t97)) % 0.45/1.02 (define @t172 () (@var "B3" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t173 () (@list @t172)) % 0.45/1.02 (define @t174 () (@list @t28 @t96)) % 0.45/1.02 (define @t175 () (@var "B3" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t176 () (@list @t175)) % 0.45/1.02 (define @t177 () (@list @t35 @t100)) % 0.45/1.02 (define @t178 () (@var "B3" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t179 () (@list @t178)) % 0.45/1.02 (define @t180 () (@list @t42 @t104)) % 0.45/1.02 (define @t181 () (@var "Y3" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t182 () (_ tptp.insert2053719859tate_o @t181)) % 0.45/1.02 (define @t183 () (@var "Y3" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t184 () (_ tptp.insert271595217at_nat @t183)) % 0.45/1.02 (define @t185 () (@var "Y3" tptp.produc1115495963_state)) % 0.45/1.02 (define @t186 () (_ tptp.insert311944171_state @t185)) % 0.45/1.02 (define @t187 () (@var "C3" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t188 () (_ tptp.member1389040324_state @t73)) % 0.45/1.02 (define @t189 () (not @t77)) % 0.45/1.02 (define @t190 () (= @t96 @t72)) % 0.45/1.02 (define @t191 () (_ @t29 @t96)) % 0.45/1.02 (define @t192 () (@var "C3" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t193 () (_ tptp.member701585322at_nat @t81)) % 0.45/1.02 (define @t194 () (not @t85)) % 0.45/1.02 (define @t195 () (= @t100 @t80)) % 0.45/1.02 (define @t196 () (_ @t36 @t100)) % 0.45/1.02 (define @t197 () (@var "C3" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t198 () (_ tptp.member1838112666tate_o @t89)) % 0.45/1.02 (define @t199 () (not @t93)) % 0.45/1.02 (define @t200 () (= @t104 @t88)) % 0.45/1.02 (define @t201 () (_ @t43 @t104)) % 0.45/1.02 (define @t202 () (_ tptp.member1389040324_state @t116)) % 0.45/1.02 (define @t203 () (_ @t202 @t96)) % 0.45/1.02 (define @t204 () (_ tptp.member701585322at_nat @t112)) % 0.45/1.02 (define @t205 () (_ @t204 @t100)) % 0.45/1.02 (define @t206 () (_ tptp.member1838112666tate_o @t108)) % 0.45/1.02 (define @t207 () (_ @t206 @t104)) % 0.45/1.02 (define @t208 () (lambda @t47 false)) % 0.45/1.02 (define @t209 () (= tptp.bot_bo170732493tate_o (_ tptp.collec1499596504tate_o @t208))) % 0.45/1.02 (define @t210 () (@var "U" tptp.produc1115495963_state)) % 0.45/1.02 (define @t211 () (@list @t28 @t146)) % 0.45/1.02 (define @t212 () (@var "U" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t213 () (@list @t35 @t141)) % 0.45/1.02 (define @t214 () (@var "U" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t215 () (@list @t42 @t136)) % 0.45/1.02 (define @t216 () (_ @t90 tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t217 () (_ @t82 tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (define @t218 () (_ @t74 tptp.bot_bo1625160935_state)) % 0.45/1.02 (define @t219 () (@var "D" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t220 () (@var "D" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t221 () (@var "D" tptp.produc1115495963_state)) % 0.45/1.02 (define @t222 () (= @t89 @t42)) % 0.45/1.02 (define @t223 () (_ @t198 @t44)) % 0.45/1.02 (define @t224 () (@list @t89 @t42)) % 0.45/1.02 (define @t225 () (= @t81 @t35)) % 0.45/1.02 (define @t226 () (_ @t193 @t37)) % 0.45/1.02 (define @t227 () (@list @t81 @t35)) % 0.45/1.02 (define @t228 () (= @t73 @t28)) % 0.45/1.02 (define @t229 () (_ @t188 @t30)) % 0.45/1.02 (define @t230 () (@list @t73 @t28)) % 0.45/1.02 (define @t231 () (_ tptp.collec1499596504tate_o (lambda @t47 (and (= @t42 @t45) @t137)))) % 0.45/1.02 (define @t232 () (_ @t136 @t42)) % 0.45/1.02 (define @t233 () (not @t232)) % 0.45/1.02 (define @t234 () (@list @t136 @t42)) % 0.45/1.02 (define @t235 () (_ tptp.collec7649004at_nat (lambda @t40 (and (= @t35 @t38) @t142)))) % 0.45/1.02 (define @t236 () (_ @t141 @t35)) % 0.45/1.02 (define @t237 () (not @t236)) % 0.45/1.02 (define @t238 () (@list @t141 @t35)) % 0.45/1.02 (define @t239 () (_ tptp.collec496201222_state (lambda @t33 (and (= @t28 @t31) @t147)))) % 0.45/1.02 (define @t240 () (_ @t146 @t28)) % 0.45/1.02 (define @t241 () (not @t240)) % 0.45/1.02 (define @t242 () (@list @t146 @t28)) % 0.45/1.02 (define @t243 () (_ tptp.collec1499596504tate_o (lambda @t47 (and @t46 @t137)))) % 0.45/1.02 (define @t244 () (_ tptp.collec7649004at_nat (lambda @t40 (and @t39 @t142)))) % 0.45/1.02 (define @t245 () (_ tptp.collec496201222_state (lambda @t33 (and @t32 @t147)))) % 0.45/1.02 (define @t246 () (@var "Q" (-> tptp.produc1115495963_state Bool))) % 0.45/1.02 (define @t247 () (@var "X3" tptp.produc1115495963_state)) % 0.45/1.02 (define @t248 () (@list @t247)) % 0.45/1.02 (define @t249 () (@var "Q" (-> tptp.product_prod_nat_nat Bool))) % 0.45/1.02 (define @t250 () (@var "X3" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t251 () (@list @t250)) % 0.45/1.02 (define @t252 () (@var "Q" (-> tptp.produc696469763tate_o Bool))) % 0.45/1.02 (define @t253 () (@var "X3" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t254 () (@list @t253)) % 0.45/1.02 (define @t255 () (@var "Q" tptp.set_state)) % 0.45/1.02 (define @t256 () (@var "Y4" tptp.state)) % 0.45/1.02 (define @t257 () (@var "R2" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t258 () (@var "Z" tptp.state)) % 0.45/1.02 (define @t259 () (_ tptp.produc64584659_state @t256)) % 0.45/1.02 (define @t260 () (@list @t256)) % 0.45/1.02 (define @t261 () (not (forall (@list @t258) (=> (_ (_ tptp.member_state @t258) @t255) (not (forall @t260 (=> (_ (_ tptp.member1389040324_state (_ @t259 @t258)) @t257) (not (_ (_ tptp.member_state @t256) @t255))))))))) % 0.45/1.02 (define @t262 () (_ tptp.wf_state @t257)) % 0.45/1.02 (define @t263 () (@var "Q" tptp.set_nat)) % 0.45/1.02 (define @t264 () (@var "Y4" tptp.nat)) % 0.45/1.02 (define @t265 () (@var "R2" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t266 () (@var "Z" tptp.nat)) % 0.45/1.02 (define @t267 () (_ tptp.product_Pair_nat_nat @t264)) % 0.45/1.02 (define @t268 () (@list @t264)) % 0.45/1.02 (define @t269 () (not (forall (@list @t266) (=> (_ (_ tptp.member_nat @t266) @t263) (not (forall @t268 (=> (_ (_ tptp.member701585322at_nat (_ @t267 @t266)) @t265) (not (_ (_ tptp.member_nat @t264) @t263))))))))) % 0.45/1.02 (define @t270 () (_ tptp.wf_nat @t265)) % 0.45/1.02 (define @t271 () (@var "Q" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t272 () (@var "Y4" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t273 () (@var "R2" tptp.set_Pr1702239303tate_o)) % 0.45/1.02 (define @t274 () (@var "Z" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t275 () (not (forall (@list @t274) (=> (_ (_ tptp.member1838112666tate_o @t274) @t271) (not (forall (@list @t272) (=> (_ (_ tptp.member1629320336tate_o (_ (_ tptp.produc1684562079tate_o @t272) @t274)) @t273) (not (_ (_ tptp.member1838112666tate_o @t272) @t271))))))))) % 0.45/1.02 (define @t276 () (_ tptp.wf_Pro309705690tate_o @t273)) % 0.45/1.02 (define @t277 () (@var "Q" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t278 () (@var "Y4" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t279 () (@var "R2" tptp.set_Pr1490359111at_nat)) % 0.45/1.02 (define @t280 () (@var "Z" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t281 () (not (forall (@list @t280) (=> (_ (_ tptp.member701585322at_nat @t280) @t277) (not (forall (@list @t278) (=> (_ (_ tptp.member2027625872at_nat (_ (_ tptp.produc1168807639at_nat @t278) @t280)) @t279) (not (_ (_ tptp.member701585322at_nat @t278) @t277))))))))) % 0.45/1.02 (define @t282 () (_ tptp.wf_Pro745352042at_nat @t279)) % 0.45/1.02 (define @t283 () (@var "Q" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t284 () (@var "Y4" tptp.produc1115495963_state)) % 0.45/1.02 (define @t285 () (@var "R2" tptp.set_Pr778812871_state)) % 0.45/1.02 (define @t286 () (@var "Z" tptp.produc1115495963_state)) % 0.45/1.02 (define @t287 () (not (forall (@list @t286) (=> (_ (_ tptp.member1389040324_state @t286) @t283) (not (forall (@list @t284) (=> (_ (_ tptp.member768948240_state (_ (_ tptp.produc1964772951_state @t284) @t286)) @t285) (not (_ (_ tptp.member1389040324_state @t284) @t283))))))))) % 0.45/1.02 (define @t288 () (_ tptp.wf_Pro1783588484_state @t285)) % 0.45/1.02 (define @t289 () (_ @t109 tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t290 () (@list @t108)) % 0.45/1.02 (define @t291 () (_ @t113 tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (define @t292 () (@list @t112)) % 0.45/1.02 (define @t293 () (_ @t117 tptp.bot_bo1625160935_state)) % 0.45/1.02 (define @t294 () (@list @t116)) % 0.45/1.02 (define @t295 () (@var "B5" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t296 () (@var "B2" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t297 () (= @t296 @t295)) % 0.45/1.02 (define @t298 () (@var "A4" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t299 () (@var "A" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t300 () (= @t299 @t298)) % 0.45/1.02 (define @t301 () (_ (_ tptp.produc33908149tate_o @t299) @t296)) % 0.45/1.02 (define @t302 () (= @t301 (_ (_ tptp.produc33908149tate_o @t298) @t295))) % 0.45/1.02 (define @t303 () (@list @t299 @t296 @t298 @t295)) % 0.45/1.02 (define @t304 () (@var "B5" tptp.state)) % 0.45/1.02 (define @t305 () (@var "B2" tptp.state)) % 0.45/1.02 (define @t306 () (= @t305 @t304)) % 0.45/1.02 (define @t307 () (@var "A4" tptp.state)) % 0.45/1.02 (define @t308 () (@var "A" tptp.state)) % 0.45/1.02 (define @t309 () (= @t308 @t307)) % 0.45/1.02 (define @t310 () (_ tptp.produc64584659_state @t308)) % 0.45/1.02 (define @t311 () (_ @t310 @t305)) % 0.45/1.02 (define @t312 () (= @t311 (_ (_ tptp.produc64584659_state @t307) @t304))) % 0.45/1.02 (define @t313 () (@list @t308 @t305 @t307 @t304)) % 0.45/1.02 (define @t314 () (@var "B5" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t315 () (@var "B2" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t316 () (= @t315 @t314)) % 0.45/1.02 (define @t317 () (@var "A4" tptp.com)) % 0.45/1.02 (define @t318 () (@var "A" tptp.com)) % 0.45/1.02 (define @t319 () (= @t318 @t317)) % 0.45/1.02 (define @t320 () (_ (_ tptp.produc1948644831tate_o @t318) @t315)) % 0.45/1.02 (define @t321 () (= @t320 (_ (_ tptp.produc1948644831tate_o @t317) @t314))) % 0.45/1.02 (define @t322 () (@list @t318 @t315 @t317 @t314)) % 0.45/1.02 (define @t323 () (@var "B5" tptp.nat)) % 0.45/1.02 (define @t324 () (@var "B2" tptp.nat)) % 0.45/1.02 (define @t325 () (= @t324 @t323)) % 0.45/1.02 (define @t326 () (@var "A4" tptp.nat)) % 0.45/1.02 (define @t327 () (@var "A" tptp.nat)) % 0.45/1.02 (define @t328 () (= @t327 @t326)) % 0.45/1.02 (define @t329 () (_ tptp.product_Pair_nat_nat @t327)) % 0.45/1.02 (define @t330 () (_ @t329 @t324)) % 0.45/1.02 (define @t331 () (= @t330 (_ (_ tptp.product_Pair_nat_nat @t326) @t323))) % 0.45/1.02 (define @t332 () (@list @t327 @t324 @t326 @t323)) % 0.45/1.02 (define @t333 () (@var "Y22" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t334 () (@var "X22" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t335 () (@var "Y1" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t336 () (@var "X1" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t337 () (@var "Y22" tptp.state)) % 0.45/1.02 (define @t338 () (@var "X22" tptp.state)) % 0.45/1.02 (define @t339 () (@var "Y1" tptp.state)) % 0.45/1.02 (define @t340 () (@var "X1" tptp.state)) % 0.45/1.02 (define @t341 () (_ (_ tptp.produc64584659_state @t340) @t338)) % 0.45/1.02 (define @t342 () (@var "Y22" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t343 () (@var "X22" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t344 () (@var "Y1" tptp.com)) % 0.45/1.02 (define @t345 () (@var "X1" tptp.com)) % 0.45/1.02 (define @t346 () (@var "Y22" tptp.nat)) % 0.45/1.02 (define @t347 () (@var "X22" tptp.nat)) % 0.45/1.02 (define @t348 () (@var "Y1" tptp.nat)) % 0.45/1.02 (define @t349 () (@var "X1" tptp.nat)) % 0.45/1.02 (define @t350 () (_ (_ tptp.product_Pair_nat_nat @t349) @t347)) % 0.45/1.02 (define @t351 () (_ tptp.is_sin1547905295tate_o @t104)) % 0.45/1.02 (define @t352 () (= @t253 @t157)) % 0.45/1.02 (define @t353 () (_ tptp.member1838112666tate_o @t253)) % 0.45/1.02 (define @t354 () (_ @t353 @t104)) % 0.45/1.02 (define @t355 () (@list @t253 @t157)) % 0.45/1.02 (define @t356 () (_ tptp.is_sin1352690165at_nat @t100)) % 0.45/1.02 (define @t357 () (= @t250 @t161)) % 0.45/1.02 (define @t358 () (_ tptp.member701585322at_nat @t250)) % 0.45/1.02 (define @t359 () (_ @t358 @t100)) % 0.45/1.02 (define @t360 () (@list @t250 @t161)) % 0.45/1.02 (define @t361 () (_ tptp.is_sin1132515087_state @t96)) % 0.45/1.02 (define @t362 () (= @t247 @t165)) % 0.45/1.02 (define @t363 () (_ tptp.member1389040324_state @t247)) % 0.45/1.02 (define @t364 () (_ @t363 @t96)) % 0.45/1.02 (define @t365 () (@list @t247 @t165)) % 0.45/1.02 (define @t366 () (@var "Y2" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t367 () (@var "X3" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t368 () (@var "P3" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t369 () (= @t368 (_ (_ tptp.produc33908149tate_o @t367) @t366))) % 0.45/1.02 (define @t370 () (@list @t367 @t366)) % 0.45/1.02 (define @t371 () (@var "Y2" tptp.state)) % 0.45/1.02 (define @t372 () (@var "X3" tptp.state)) % 0.45/1.02 (define @t373 () (_ (_ tptp.produc64584659_state @t372) @t371)) % 0.45/1.02 (define @t374 () (@var "P3" tptp.produc1115495963_state)) % 0.45/1.02 (define @t375 () (= @t374 @t373)) % 0.45/1.02 (define @t376 () (@list @t372 @t371)) % 0.45/1.02 (define @t377 () (@var "Y2" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t378 () (@var "X3" tptp.com)) % 0.45/1.02 (define @t379 () (@var "P3" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t380 () (= @t379 (_ (_ tptp.produc1948644831tate_o @t378) @t377))) % 0.45/1.02 (define @t381 () (@list @t378 @t377)) % 0.45/1.02 (define @t382 () (@var "Y2" tptp.nat)) % 0.45/1.02 (define @t383 () (@var "X3" tptp.nat)) % 0.45/1.02 (define @t384 () (_ (_ tptp.product_Pair_nat_nat @t383) @t382)) % 0.45/1.02 (define @t385 () (@var "P3" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t386 () (= @t385 @t384)) % 0.45/1.02 (define @t387 () (@list @t383 @t382)) % 0.45/1.02 (define @t388 () (@var "B6" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t389 () (@var "A6" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t390 () (_ tptp.produc33908149tate_o @t389)) % 0.45/1.02 (define @t391 () (_ @t390 @t388)) % 0.45/1.02 (define @t392 () (@list @t389 @t388)) % 0.45/1.02 (define @t393 () (forall @t392 (_ @t136 @t391))) % 0.45/1.02 (define @t394 () (@var "B6" tptp.state)) % 0.45/1.02 (define @t395 () (@var "A6" tptp.state)) % 0.45/1.02 (define @t396 () (_ (_ tptp.produc64584659_state @t395) @t394)) % 0.45/1.02 (define @t397 () (@list @t395 @t394)) % 0.45/1.02 (define @t398 () (forall @t397 (_ @t146 @t396))) % 0.45/1.02 (define @t399 () (@var "P" (-> tptp.produc204914599tate_o Bool))) % 0.45/1.02 (define @t400 () (@var "B6" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t401 () (@var "A6" tptp.com)) % 0.45/1.02 (define @t402 () (_ (_ tptp.produc1948644831tate_o @t401) @t400)) % 0.45/1.02 (define @t403 () (@list @t401 @t400)) % 0.45/1.02 (define @t404 () (forall @t403 (_ @t399 @t402))) % 0.45/1.02 (define @t405 () (@var "B6" tptp.nat)) % 0.45/1.02 (define @t406 () (@var "A6" tptp.nat)) % 0.45/1.02 (define @t407 () (_ (_ tptp.product_Pair_nat_nat @t406) @t405)) % 0.45/1.02 (define @t408 () (@list @t406 @t405)) % 0.45/1.02 (define @t409 () (forall @t408 (_ @t141 @t407))) % 0.45/1.02 (define @t410 () (@list @t181)) % 0.45/1.02 (define @t411 () (@var "Y3" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t412 () (@var "Prod" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t413 () (@var "Prod" tptp.produc1115495963_state)) % 0.45/1.02 (define @t414 () (@var "Prod" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t415 () (@var "Prod" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t416 () (@var "A5" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t417 () (@list @t416)) % 0.45/1.02 (define @t418 () (@var "A5" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t419 () (@list @t418)) % 0.45/1.02 (define @t420 () (@var "A5" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t421 () (@list @t420)) % 0.45/1.02 (define @t422 () (@var "X2" tptp.state)) % 0.45/1.02 (define @t423 () (_ tptp.member_state @t422)) % 0.45/1.02 (define @t424 () (@var "X2" tptp.nat)) % 0.45/1.02 (define @t425 () (_ tptp.member_nat @t424)) % 0.45/1.02 (define @t426 () (@var "Q3" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t427 () (@var "Xa" tptp.produc1115495963_state)) % 0.45/1.02 (define @t428 () (_ tptp.produc1964772951_state @t165)) % 0.45/1.02 (define @t429 () (@var "Q3" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t430 () (@var "Xa" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t431 () (_ tptp.produc1168807639at_nat @t161)) % 0.45/1.02 (define @t432 () (@var "Q3" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t433 () (@var "Xa" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t434 () (_ tptp.produc1684562079tate_o @t157)) % 0.45/1.02 (define @t435 () (@var "Q3" tptp.set_state)) % 0.45/1.02 (define @t436 () (_ tptp.member_state @t371)) % 0.45/1.02 (define @t437 () (@var "Xa" tptp.state)) % 0.45/1.02 (define @t438 () (_ tptp.produc64584659_state @t371)) % 0.45/1.02 (define @t439 () (_ tptp.member1389040324_state (_ @t438 @t437))) % 0.45/1.02 (define @t440 () (@list @t371)) % 0.45/1.02 (define @t441 () (@list @t437)) % 0.45/1.02 (define @t442 () (_ tptp.member_state @t372)) % 0.45/1.02 (define @t443 () (@var "Q3" tptp.set_nat)) % 0.45/1.02 (define @t444 () (_ tptp.member_nat @t382)) % 0.45/1.02 (define @t445 () (@var "Xa" tptp.nat)) % 0.45/1.02 (define @t446 () (_ tptp.product_Pair_nat_nat @t382)) % 0.45/1.02 (define @t447 () (_ tptp.member701585322at_nat (_ @t446 @t445))) % 0.45/1.02 (define @t448 () (@list @t382)) % 0.45/1.02 (define @t449 () (@list @t445)) % 0.45/1.02 (define @t450 () (_ tptp.member_nat @t383)) % 0.45/1.02 (define @t451 () (@var "P5" (-> tptp.state Bool))) % 0.45/1.02 (define @t452 () (@var "R" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t453 () (_ tptp.wf_nat @t452)) % 0.45/1.02 (define @t454 () (@var "P5" (-> tptp.nat Bool))) % 0.45/1.02 (define @t455 () (@list @t452)) % 0.45/1.02 (define @t456 () (_ tptp.produc64584659_state @t422)) % 0.45/1.02 (define @t457 () (_ tptp.product_Pair_nat_nat @t424)) % 0.45/1.02 (define @t458 () (@var "P" (-> tptp.state Bool))) % 0.45/1.02 (define @t459 () (@var "P" (-> tptp.nat Bool))) % 0.45/1.02 (define @t460 () (_ (_ tptp.member1389040324_state (_ @t310 @t308)) @t67)) % 0.45/1.02 (define @t461 () (_ (_ tptp.member701585322at_nat (_ @t329 @t327)) @t452)) % 0.45/1.02 (define @t462 () (@var "Q4" tptp.set_state)) % 0.45/1.02 (define @t463 () (@var "Y5" tptp.state)) % 0.45/1.02 (define @t464 () (_ tptp.member_state @t463)) % 0.45/1.02 (define @t465 () (@var "R3" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t466 () (@var "X" tptp.state)) % 0.45/1.02 (define @t467 () (_ (_ tptp.member1389040324_state (_ (_ tptp.produc64584659_state @t463) @t466)) @t465)) % 0.45/1.02 (define @t468 () (@list @t463)) % 0.45/1.02 (define @t469 () (_ tptp.member_state @t466)) % 0.45/1.02 (define @t470 () (_ @t469 @t462)) % 0.45/1.02 (define @t471 () (@list @t466)) % 0.45/1.02 (define @t472 () (@list @t465)) % 0.45/1.02 (define @t473 () (@var "Q4" tptp.set_nat)) % 0.45/1.02 (define @t474 () (@var "Y5" tptp.nat)) % 0.45/1.02 (define @t475 () (_ tptp.member_nat @t474)) % 0.45/1.02 (define @t476 () (@var "R3" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t477 () (@var "X" tptp.nat)) % 0.45/1.02 (define @t478 () (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t474) @t477)) @t476)) % 0.45/1.02 (define @t479 () (@list @t474)) % 0.45/1.02 (define @t480 () (_ tptp.member_nat @t477)) % 0.45/1.02 (define @t481 () (_ @t480 @t473)) % 0.45/1.02 (define @t482 () (@list @t477)) % 0.45/1.02 (define @t483 () (@list @t476)) % 0.45/1.02 (define @t484 () (@var "C4" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t485 () (@var "B6" tptp.com)) % 0.45/1.02 (define @t486 () (_ @t390 (_ (_ tptp.produc1948644831tate_o @t485) @t484))) % 0.45/1.02 (define @t487 () (@list @t389 @t485 @t484)) % 0.45/1.02 (define @t488 () (@var "F" (-> tptp.state tptp.nat))) % 0.45/1.02 (define @t489 () (@var "F" (-> tptp.nat tptp.nat))) % 0.45/1.02 (define @t490 () (@var "B2" (-> tptp.state Bool))) % 0.45/1.02 (define @t491 () (_ @t490 @t63)) % 0.45/1.02 (define @t492 () (_ (_ tptp.while @t490) @t8)) % 0.45/1.02 (define @t493 () (@var "Y42" tptp.com)) % 0.45/1.02 (define @t494 () (@var "X42" tptp.com)) % 0.45/1.02 (define @t495 () (@var "Y41" (-> tptp.state Bool))) % 0.45/1.02 (define @t496 () (@var "X41" (-> tptp.state Bool))) % 0.45/1.02 (define @t497 () (_ (_ tptp.while @t496) @t494)) % 0.45/1.02 (define @t498 () (_ @t61 @t492)) % 0.45/1.02 (define @t499 () (_ @t490 @t58)) % 0.45/1.02 (define @t500 () (not @t499)) % 0.45/1.02 (define @t501 () (@list @t490 @t58 @t8)) % 0.45/1.02 (define @t502 () (@var "U2" tptp.state)) % 0.45/1.02 (define @t503 () (_ @t61 @t8)) % 0.45/1.02 (define @t504 () (_ tptp.termi @t492)) % 0.45/1.02 (define @t505 () (_ @t504 @t58)) % 0.45/1.02 (define @t506 () (@var "S5" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t507 () (@var "R2" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t508 () (@var "Y5" tptp.produc204914599tate_o)) % 0.45/1.02 (define @t509 () (@var "X" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t510 () (_ tptp.member1838112666tate_o (_ (_ tptp.produc33908149tate_o @t509) @t508))) % 0.45/1.02 (define @t511 () (@list @t509 @t508)) % 0.45/1.02 (define @t512 () (@var "S5" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t513 () (_ (_ tptp.produc64584659_state @t466) @t463)) % 0.45/1.02 (define @t514 () (_ tptp.member1389040324_state @t513)) % 0.45/1.02 (define @t515 () (@list @t466 @t463)) % 0.45/1.02 (define @t516 () (@var "S5" tptp.set_Pr1740974983tate_o)) % 0.45/1.02 (define @t517 () (@var "R2" tptp.set_Pr1740974983tate_o)) % 0.45/1.02 (define @t518 () (@var "Y5" (-> tptp.a tptp.state Bool))) % 0.45/1.02 (define @t519 () (@var "X" tptp.com)) % 0.45/1.02 (define @t520 () (_ tptp.member221067728tate_o (_ (_ tptp.produc1948644831tate_o @t519) @t518))) % 0.45/1.02 (define @t521 () (@list @t519 @t518)) % 0.45/1.02 (define @t522 () (@var "S5" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t523 () (_ (_ tptp.product_Pair_nat_nat @t477) @t474)) % 0.45/1.02 (define @t524 () (_ tptp.member701585322at_nat @t523)) % 0.45/1.02 (define @t525 () (@list @t477 @t474)) % 0.45/1.02 (define @t526 () (_ (_ tptp.insert271595217at_nat (_ @t457 @t424)) tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (define @t527 () (_ (_ tptp.insert_nat @t424) tptp.bot_bot_set_nat)) % 0.45/1.02 (define @t528 () (@list @t424)) % 0.45/1.02 (define @t529 () (_ (_ tptp.insert311944171_state (_ @t456 @t422)) tptp.bot_bo1625160935_state)) % 0.45/1.02 (define @t530 () (_ (_ tptp.insert_state @t422) tptp.bot_bot_set_state)) % 0.45/1.02 (define @t531 () (@list @t422)) % 0.45/1.02 (define @t532 () (_ tptp.produc1684562079tate_o @t108)) % 0.45/1.02 (define @t533 () (_ (_ tptp.insert1597128631tate_o (_ @t532 @t108)) tptp.bot_bo1714653363tate_o)) % 0.45/1.02 (define @t534 () (_ tptp.produc1168807639at_nat @t112)) % 0.45/1.02 (define @t535 () (_ (_ tptp.insert584009271at_nat (_ @t534 @t112)) tptp.bot_bo34127283at_nat)) % 0.45/1.02 (define @t536 () (_ tptp.produc1964772951_state @t116)) % 0.45/1.02 (define @t537 () (_ (_ tptp.insert1616594103_state (_ @t536 @t116)) tptp.bot_bo1331673139_state)) % 0.45/1.02 (define @t538 () (@var "T3" tptp.state)) % 0.45/1.02 (define @t539 () (@var "Ab" tptp.produc1115495963_state)) % 0.45/1.02 (define @t540 () (@var "Q" (-> tptp.state tptp.state Bool))) % 0.45/1.02 (define @t541 () (@var "P" Bool)) % 0.45/1.02 (define @t542 () (@var "B7" tptp.state)) % 0.45/1.02 (define @t543 () (@var "A3" tptp.state)) % 0.45/1.02 (define @t544 () (@var "Ab" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t545 () (@var "Q" (-> tptp.nat tptp.nat Bool))) % 0.45/1.02 (define @t546 () (@var "B7" tptp.nat)) % 0.45/1.02 (define @t547 () (@var "A3" tptp.nat)) % 0.45/1.02 (define @t548 () (@var "F" (-> tptp.state tptp.state Bool))) % 0.45/1.02 (define @t549 () (_ (_ @t548 @t308) @t305)) % 0.45/1.02 (define @t550 () (_ tptp.produc789892016tate_o @t548)) % 0.45/1.02 (define @t551 () (_ @t550 @t311)) % 0.45/1.02 (define @t552 () (@list @t548 @t308 @t305)) % 0.45/1.02 (define @t553 () (@var "F" (-> tptp.nat tptp.nat Bool))) % 0.45/1.02 (define @t554 () (_ (_ @t553 @t327) @t324)) % 0.45/1.02 (define @t555 () (_ tptp.produc949581770_nat_o @t553)) % 0.45/1.02 (define @t556 () (_ @t555 @t330)) % 0.45/1.02 (define @t557 () (@list @t553 @t327 @t324)) % 0.45/1.02 (define @t558 () (@var "F" (-> (-> tptp.a tptp.state Bool) tptp.produc204914599tate_o Bool))) % 0.45/1.02 (define @t559 () (_ (_ tptp.produc1271576886te_o_o @t558) @t301)) % 0.45/1.02 (define @t560 () (_ (_ @t558 @t299) @t296)) % 0.45/1.02 (define @t561 () (@list @t558 @t299 @t296)) % 0.45/1.02 (define @t562 () (@var "F" (-> tptp.com (-> tptp.a tptp.state Bool) Bool))) % 0.45/1.02 (define @t563 () (_ (_ tptp.produc281270436te_o_o @t562) @t320)) % 0.45/1.02 (define @t564 () (_ (_ @t562 @t318) @t315)) % 0.45/1.02 (define @t565 () (@list @t562 @t318 @t315)) % 0.45/1.02 (define @t566 () (@var "C2" (-> (-> tptp.a tptp.state Bool) tptp.produc204914599tate_o Bool))) % 0.45/1.02 (define @t567 () (_ (_ tptp.produc1271576886te_o_o @t566) @t368)) % 0.45/1.02 (define @t568 () (@var "C2" (-> tptp.com (-> tptp.a tptp.state Bool) Bool))) % 0.45/1.02 (define @t569 () (_ (_ tptp.produc281270436te_o_o @t568) @t379)) % 0.45/1.02 (define @t570 () (@var "C2" (-> tptp.state tptp.state Bool))) % 0.45/1.02 (define @t571 () (_ (_ tptp.produc789892016tate_o @t570) @t374)) % 0.45/1.02 (define @t572 () (@var "C2" (-> tptp.nat tptp.nat Bool))) % 0.45/1.02 (define @t573 () (_ (_ tptp.produc949581770_nat_o @t572) @t385)) % 0.45/1.02 (define @t574 () (= @t385 @t407)) % 0.45/1.02 (define @t575 () (@var "R" tptp.set_Pr778812871_state)) % 0.45/1.02 (define @t576 () (_ tptp.produc1964772951_state @t28)) % 0.45/1.02 (define @t577 () (_ (_ tptp.refl_o1438232218_state @t96) @t575)) % 0.45/1.02 (define @t578 () (@var "R" tptp.set_Pr1490359111at_nat)) % 0.45/1.02 (define @t579 () (_ tptp.produc1168807639at_nat @t35)) % 0.45/1.02 (define @t580 () (_ (_ tptp.refl_o1619599232at_nat @t100) @t578)) % 0.45/1.02 (define @t581 () (@var "R" tptp.set_Pr1702239303tate_o)) % 0.45/1.02 (define @t582 () (_ tptp.produc1684562079tate_o @t42)) % 0.45/1.02 (define @t583 () (_ (_ tptp.refl_o489021252tate_o @t104) @t581)) % 0.45/1.02 (define @t584 () (@var "A2" tptp.set_state)) % 0.45/1.02 (define @t585 () (_ (_ tptp.member_state @t308) @t584)) % 0.45/1.02 (define @t586 () (_ (_ tptp.refl_on_state @t584) @t67)) % 0.45/1.02 (define @t587 () (@var "A2" tptp.set_nat)) % 0.45/1.02 (define @t588 () (_ (_ tptp.member_nat @t327) @t587)) % 0.45/1.02 (define @t589 () (_ (_ tptp.refl_on_nat @t587) @t452)) % 0.45/1.02 (define @t590 () (@var "X23" tptp.state)) % 0.45/1.02 (define @t591 () (@var "X12" tptp.state)) % 0.45/1.02 (define @t592 () (@var "H" (-> Bool Bool))) % 0.45/1.02 (define @t593 () (@var "X23" tptp.nat)) % 0.45/1.02 (define @t594 () (@var "X12" tptp.nat)) % 0.45/1.02 (define @t595 () (_ (_ tptp.member768948240_state (_ @t536 @t185)) @t575)) % 0.45/1.02 (define @t596 () (@list @t96 @t575 @t116 @t185)) % 0.45/1.02 (define @t597 () (_ (_ tptp.member2027625872at_nat (_ @t534 @t183)) @t578)) % 0.45/1.02 (define @t598 () (@list @t100 @t578 @t112 @t183)) % 0.45/1.02 (define @t599 () (_ (_ tptp.member1629320336tate_o (_ @t532 @t181)) @t581)) % 0.45/1.02 (define @t600 () (@list @t104 @t581 @t108 @t181)) % 0.45/1.02 (define @t601 () (@var "Y3" tptp.state)) % 0.45/1.02 (define @t602 () (_ (_ tptp.member1389040324_state (_ @t456 @t601)) @t67)) % 0.45/1.02 (define @t603 () (@list @t584 @t67 @t422 @t601)) % 0.45/1.02 (define @t604 () (@var "Y3" tptp.nat)) % 0.45/1.02 (define @t605 () (_ tptp.member701585322at_nat (_ @t457 @t604))) % 0.45/1.02 (define @t606 () (_ @t605 @t452)) % 0.45/1.02 (define @t607 () (@list @t587 @t452 @t424 @t604)) % 0.45/1.02 (define @t608 () (_ tptp.total_on_nat @t587)) % 0.45/1.02 (define @t609 () (@var "P" (-> tptp.state tptp.state Bool))) % 0.45/1.02 (define @t610 () (@var "Q" (-> Bool Bool))) % 0.45/1.02 (define @t611 () (@var "Z5" tptp.produc1115495963_state)) % 0.45/1.02 (define @t612 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.45/1.02 (define @t613 () (@var "Z5" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t614 () (@var "F" (-> tptp.produc1115495963_state Bool))) % 0.45/1.02 (define @t615 () (@var "F" (-> tptp.product_prod_nat_nat Bool))) % 0.45/1.02 (define @t616 () (@var "G" (-> tptp.produc1115495963_state Bool))) % 0.45/1.02 (define @t617 () (_ (_ @t548 @t372) @t371)) % 0.45/1.02 (define @t618 () (@var "G" (-> tptp.product_prod_nat_nat Bool))) % 0.45/1.02 (define @t619 () (_ (_ @t553 @t383) @t382)) % 0.45/1.02 (define @t620 () (@var "Q5" tptp.produc1115495963_state)) % 0.45/1.02 (define @t621 () (@var "G" (-> tptp.state tptp.state Bool))) % 0.45/1.02 (define @t622 () (@var "Q5" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t623 () (@var "G" (-> tptp.nat tptp.nat Bool))) % 0.45/1.02 (define @t624 () (@var "C2" (-> tptp.nat tptp.nat tptp.set_Pr795498619_state))) % 0.45/1.02 (define @t625 () (_ tptp.member1389040324_state @t611)) % 0.45/1.02 (define @t626 () (@var "C2" (-> tptp.nat tptp.nat tptp.set_Pr1986765409at_nat))) % 0.45/1.02 (define @t627 () (_ tptp.member701585322at_nat @t613)) % 0.45/1.02 (define @t628 () (@var "C2" (-> tptp.nat tptp.nat tptp.set_Pr1590995257tate_o))) % 0.45/1.02 (define @t629 () (@var "Z5" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t630 () (_ tptp.member1838112666tate_o @t629)) % 0.45/1.02 (define @t631 () (@var "I" tptp.nat)) % 0.45/1.02 (define @t632 () (@var "F" (-> tptp.nat tptp.state))) % 0.45/1.02 (define @t633 () (_ @t632 @t631)) % 0.45/1.02 (define @t634 () (@list @t631)) % 0.45/1.02 (define @t635 () (exists @t634 (not (_ @t490 @t633)))) % 0.45/1.02 (define @t636 () (forall @t634 (_ (_ (_ tptp.exec @t633) @t8) (_ @t632 (_ tptp.suc @t631))))) % 0.45/1.02 (define @t637 () (@var "K" tptp.nat)) % 0.45/1.02 (define @t638 () (_ @t632 @t637)) % 0.45/1.02 (define @t639 () (@var "W" tptp.com)) % 0.45/1.02 (define @t640 () (= @t639 @t492)) % 0.45/1.02 (define @t641 () (@var "Fk" tptp.state)) % 0.45/1.02 (define @t642 () (@var "N" tptp.nat)) % 0.45/1.02 (define @t643 () (_ tptp.execn @t58)) % 0.45/1.02 (define @t644 () (@var "M" tptp.nat)) % 0.45/1.02 (define @t645 () (@var "N2" tptp.nat)) % 0.45/1.02 (define @t646 () (and (_ @t458 @t60) (not (_ @t490 @t60)))) % 0.45/1.02 (define @t647 () (_ @t458 @t62)) % 0.45/1.02 (define @t648 () (_ (_ (_ (_ tptp.execn @t13) @t8) @t642) @t62)) % 0.45/1.02 (define @t649 () (_ @t490 @t13)) % 0.45/1.02 (define @t650 () (_ @t458 @t13)) % 0.45/1.02 (define @t651 () (@list @t13 @t62)) % 0.45/1.02 (define @t652 () (_ @t458 @t58)) % 0.45/1.02 (define @t653 () (_ (_ @t643 @t492) @t642)) % 0.45/1.02 (define @t654 () (@var "S0" tptp.state)) % 0.45/1.02 (define @t655 () (@var "C22" tptp.com)) % 0.45/1.02 (define @t656 () (@var "C1" tptp.com)) % 0.45/1.02 (define @t657 () (_ (_ tptp.semi @t656) @t655)) % 0.45/1.02 (define @t658 () (@var "S1" tptp.state)) % 0.45/1.02 (define @t659 () (_ tptp.exec @t654)) % 0.45/1.02 (define @t660 () (_ @t659 @t656)) % 0.45/1.02 (define @t661 () (@var "Y222" tptp.com)) % 0.45/1.02 (define @t662 () (@var "X222" tptp.com)) % 0.45/1.02 (define @t663 () (@var "Y21" tptp.com)) % 0.45/1.02 (define @t664 () (@var "X21" tptp.com)) % 0.45/1.02 (define @t665 () (_ (_ tptp.semi @t664) @t662)) % 0.45/1.02 (define @t666 () (@var "S22" tptp.state)) % 0.45/1.02 (define @t667 () (_ tptp.execn @t654)) % 0.45/1.02 (define @t668 () (@var "S12" tptp.state)) % 0.45/1.02 (define @t669 () (@var "S7" tptp.state)) % 0.45/1.02 (define @t670 () (_ @t59 @t669)) % 0.45/1.02 (define @t671 () (@var "S6" tptp.state)) % 0.45/1.02 (define @t672 () (= @t669 @t671)) % 0.45/1.02 (define @t673 () (_ (_ tptp.pa @t18) @t669)) % 0.45/1.02 (define @t674 () (and @t673 @t672)) % 0.45/1.02 (define @t675 () (=> @t674 @t670)) % 0.45/1.02 (define @t676 () (@list @t18 @t669)) % 0.45/1.02 (define @t677 () (forall @t676 @t675)) % 0.45/1.02 (define @t678 () (@var "T4" tptp.state)) % 0.45/1.02 (define @t679 () (_ (_ tptp.qa @t18) @t678)) % 0.45/1.02 (define @t680 () (=> @t674 @t679)) % 0.45/1.02 (define @t681 () (forall @t21 @t680)) % 0.45/1.02 (define @t682 () (_ (_ (_ tptp.exec @t669) tptp.body) @t678)) % 0.45/1.02 (define @t683 () (=> @t682 @t681)) % 0.45/1.02 (define @t684 () (@list @t669 @t678)) % 0.45/1.02 (define @t685 () (forall @t684 @t683)) % 0.45/1.02 (define @t686 () (and @t685 @t677)) % 0.45/1.02 (define @t687 () (_ @t59 @t13)) % 0.45/1.02 (define @t688 () (_ (_ tptp.produc64584659_state @t13) @t671)) % 0.45/1.02 (define @t689 () (_ (_ tptp.member1389040324_state @t688) tptp.r)) % 0.45/1.02 (define @t690 () (_ (_ tptp.pa @t14) @t13)) % 0.45/1.02 (define @t691 () (and @t690 @t689)) % 0.45/1.02 (define @t692 () (forall @t16 (=> @t691 @t687))) % 0.45/1.02 (define @t693 () (_ (_ tptp.qa @t14) @t25)) % 0.45/1.02 (define @t694 () (forall @t23 (=> @t691 @t693))) % 0.45/1.02 (define @t695 () (_ (_ (_ tptp.exec @t13) tptp.body) @t25)) % 0.45/1.02 (define @t696 () (=> @t695 @t694)) % 0.45/1.02 (define @t697 () (forall @t26 @t696)) % 0.45/1.02 (define @t698 () (and @t697 @t692)) % 0.45/1.02 (define @t699 () (=> @t698 @t686)) % 0.45/1.02 (define @t700 () (_ (_ tptp.pa @t64) @t63)) % 0.45/1.02 (define @t701 () (lambda @t66 (and @t700 (= @t63 @t671)))) % 0.45/1.02 (define @t702 () (_ @t3 tptp.qa)) % 0.45/1.02 (define @t703 () (_ (_ tptp.produc33908149tate_o (lambda @t66 (and @t700 (_ (_ tptp.member1389040324_state (_ @t68 @t671)) tptp.r)))) @t702)) % 0.45/1.02 (define @t704 () (and (_ (_ (_ (_ tptp.pHoare382919414oare_a (_ (_ tptp.insert2053719859tate_o @t703) tptp.bot_bo170732493tate_o)) @t701) tptp.body) tptp.qa) @t699)) % 0.45/1.02 (define @t705 () (@list @t671)) % 0.45/1.02 (define @t706 () (forall @t705 @t704)) % 0.45/1.02 (define @t707 () (= @t669 @t256)) % 0.45/1.02 (define @t708 () (and @t673 @t707)) % 0.45/1.02 (define @t709 () (=> @t708 @t670)) % 0.45/1.02 (define @t710 () (forall @t676 @t709)) % 0.45/1.02 (define @t711 () (=> @t708 @t679)) % 0.45/1.02 (define @t712 () (forall @t21 @t711)) % 0.45/1.02 (define @t713 () (=> @t682 @t712)) % 0.45/1.02 (define @t714 () (forall @t684 @t713)) % 0.45/1.02 (define @t715 () (and @t714 @t710)) % 0.45/1.02 (define @t716 () (_ @t259 tptp.x)) % 0.45/1.02 (define @t717 () (_ (_ tptp.member1389040324_state @t716) tptp.r)) % 0.45/1.02 (define @t718 () (=> @t717 @t715)) % 0.45/1.02 (define @t719 () (forall @t260 @t718)) % 0.45/1.02 (define @t720 () (not (= @t13 tptp.x))) % 0.45/1.02 (define @t721 () (not @t690)) % 0.45/1.02 (define @t722 () (or @t721 @t720 @t687)) % 0.45/1.02 (define @t723 () (forall @t16 @t722)) % 0.45/1.02 (define @t724 () (or @t721 @t720 @t693)) % 0.45/1.02 (define @t725 () (forall @t23 @t724)) % 0.45/1.02 (define @t726 () (not @t695)) % 0.45/1.02 (define @t727 () (or @t726 @t725)) % 0.45/1.02 (define @t728 () (forall @t26 @t727)) % 0.45/1.02 (define @t729 () (and @t728 @t723)) % 0.45/1.02 (define @t730 () (not @t729)) % 0.45/1.02 (define @t731 () (@var "B4" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t732 () (@var "A3" tptp.produc1115495963_state)) % 0.45/1.02 (define @t733 () (lambda (@list @t732 @t731) (_ tptp.collec496201222_state (lambda @t33 (or (= @t31 @t732) (_ @t133 @t731)))))) % 0.45/1.02 (define @t734 () (@var "B4" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t735 () (@var "A3" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t736 () (lambda (@list @t735 @t734) (_ tptp.collec7649004at_nat (lambda @t40 (or (= @t38 @t735) (_ @t129 @t734)))))) % 0.45/1.02 (define @t737 () (@var "B4" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t738 () (_ @t125 @t737)) % 0.45/1.02 (define @t739 () (@var "A3" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t740 () (lambda (@list @t739 @t737) (_ tptp.collec1499596504tate_o (lambda @t47 (or (= @t45 @t739) @t738))))) % 0.45/1.02 (define @t741 () (lambda @t417 (= @t416 (_ (_ tptp.insert2053719859tate_o (_ tptp.the_el1569055182tate_o @t416)) tptp.bot_bo170732493tate_o)))) % 0.45/1.02 (define @t742 () (lambda @t419 (= @t418 (_ (_ tptp.insert271595217at_nat (_ tptp.the_el1949240438at_nat @t418)) tptp.bot_bo2130386637at_nat)))) % 0.45/1.02 (define @t743 () (lambda @t421 (= @t420 (_ (_ tptp.insert311944171_state (_ tptp.the_el1967402896_state @t420)) tptp.bot_bo1625160935_state)))) % 0.45/1.02 (define @t744 () (@var "X4" tptp.state)) % 0.45/1.02 (define @t745 () (@var "P4" (-> tptp.state Bool))) % 0.45/1.02 (define @t746 () (lambda @t472 (forall (@list @t745) (=> (forall @t471 (=> (forall @t468 (=> @t467 (_ @t745 @t463))) (_ @t745 @t466))) (forall (@list @t744) (_ @t745 @t744)))))) % 0.45/1.02 (define @t747 () (@var "X4" tptp.nat)) % 0.45/1.02 (define @t748 () (@var "P4" (-> tptp.nat Bool))) % 0.45/1.02 (define @t749 () (lambda @t483 (forall (@list @t748) (=> (forall @t482 (=> (forall @t479 (=> @t478 (_ @t748 @t474))) (_ @t748 @t477))) (forall (@list @t747) (_ @t748 @t747)))))) % 0.45/1.02 (define @t750 () (@var "Q4" tptp.set_Pr795498619_state)) % 0.45/1.02 (define @t751 () (@var "Y5" tptp.produc1115495963_state)) % 0.45/1.02 (define @t752 () (@var "R3" tptp.set_Pr778812871_state)) % 0.45/1.02 (define @t753 () (_ @t133 @t750)) % 0.45/1.02 (define @t754 () (lambda (@list @t752) (forall (@list @t750) (=> (exists @t33 @t753) (exists @t33 (and @t753 (forall (@list @t751) (=> (_ (_ tptp.member768948240_state (_ (_ tptp.produc1964772951_state @t751) @t31)) @t752) (not (_ (_ tptp.member1389040324_state @t751) @t750)))))))))) % 0.45/1.02 (define @t755 () (@var "Q4" tptp.set_Pr1986765409at_nat)) % 0.45/1.02 (define @t756 () (@var "Y5" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t757 () (@var "R3" tptp.set_Pr1490359111at_nat)) % 0.45/1.02 (define @t758 () (_ @t129 @t755)) % 0.45/1.02 (define @t759 () (lambda (@list @t757) (forall (@list @t755) (=> (exists @t40 @t758) (exists @t40 (and @t758 (forall (@list @t756) (=> (_ (_ tptp.member2027625872at_nat (_ (_ tptp.produc1168807639at_nat @t756) @t38)) @t757) (not (_ (_ tptp.member701585322at_nat @t756) @t755)))))))))) % 0.45/1.02 (define @t760 () (@var "Q4" tptp.set_Pr1590995257tate_o)) % 0.45/1.02 (define @t761 () (@var "Y5" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t762 () (@var "R3" tptp.set_Pr1702239303tate_o)) % 0.45/1.02 (define @t763 () (_ @t125 @t760)) % 0.45/1.02 (define @t764 () (lambda (@list @t762) (forall (@list @t760) (=> (exists @t47 @t763) (exists @t47 (and @t763 (forall (@list @t761) (=> (_ (_ tptp.member1629320336tate_o (_ (_ tptp.produc1684562079tate_o @t761) @t45)) @t762) (not (_ (_ tptp.member1838112666tate_o @t761) @t760)))))))))) % 0.45/1.02 (define @t765 () (lambda @t521 (_ @t520 tptp.bot_bo1692783091tate_o))) % 0.45/1.02 (define @t766 () (lambda @t511 (_ @t510 tptp.bot_bo170732493tate_o))) % 0.45/1.02 (define @t767 () (lambda @t525 (_ @t524 tptp.bot_bo2130386637at_nat))) % 0.45/1.02 (define @t768 () (lambda @t515 (_ @t514 tptp.bot_bo1625160935_state))) % 0.45/1.02 (define @t769 () (lambda @t417 (= @t416 tptp.bot_bo170732493tate_o))) % 0.45/1.02 (define @t770 () (lambda @t419 (= @t418 tptp.bot_bo2130386637at_nat))) % 0.45/1.02 (define @t771 () (lambda @t421 (= @t420 tptp.bot_bo1625160935_state))) % 0.45/1.02 (define @t772 () (_ @t125 tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t773 () (lambda @t47 @t772)) % 0.45/1.02 (define @t774 () (lambda @t40 (_ @t129 tptp.bot_bo2130386637at_nat))) % 0.45/1.02 (define @t775 () (lambda @t33 (_ @t133 tptp.bot_bo1625160935_state))) % 0.45/1.02 (define @t776 () (@var "A5" tptp.set_state)) % 0.45/1.02 (define @t777 () (lambda (@list @t776 @t465) (forall @t471 (=> (_ @t469 @t776) (forall @t468 (=> (_ @t464 @t776) (=> (not (= @t466 @t463)) (or (_ @t514 @t465) @t467)))))))) % 0.45/1.02 (define @t778 () (@var "A5" tptp.set_nat)) % 0.45/1.02 (define @t779 () (lambda (@list @t778 @t476) (forall @t482 (=> (_ @t480 @t778) (forall @t479 (=> (_ @t475 @t778) (=> (not (= @t477 @t474)) (or (_ @t524 @t476) @t478)))))))) % 0.45/1.02 (define @t780 () (@var "B7" tptp.produc1115495963_state)) % 0.45/1.02 (define @t781 () (lambda (@list @t752 @t732) (_ tptp.collec496201222_state (lambda (@list @t780) (and (not (= @t780 @t732)) (_ (_ tptp.member768948240_state (_ (_ tptp.produc1964772951_state @t732) @t780)) @t752)))))) % 0.45/1.02 (define @t782 () (@var "B7" tptp.product_prod_nat_nat)) % 0.45/1.02 (define @t783 () (lambda (@list @t757 @t735) (_ tptp.collec7649004at_nat (lambda (@list @t782) (and (not (= @t782 @t735)) (_ (_ tptp.member2027625872at_nat (_ (_ tptp.produc1168807639at_nat @t735) @t782)) @t757)))))) % 0.45/1.02 (define @t784 () (@var "B7" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t785 () (lambda (@list @t762 @t739) (_ tptp.collec1499596504tate_o (lambda (@list @t784) (and (not (= @t784 @t739)) (_ (_ tptp.member1629320336tate_o (_ (_ tptp.produc1684562079tate_o @t739) @t784)) @t762)))))) % 0.45/1.02 (define @t786 () (lambda (@list @t465 @t543) (_ tptp.collect_state (lambda (@list @t542) (and (not (= @t542 @t543)) (_ (_ tptp.member1389040324_state (_ (_ tptp.produc64584659_state @t543) @t542)) @t465)))))) % 0.45/1.02 (define @t787 () (lambda (@list @t476 @t547) (_ tptp.collect_nat (lambda (@list @t546) (and (not (= @t546 @t547)) (_ (_ tptp.member701585322at_nat (_ (_ tptp.product_Pair_nat_nat @t547) @t546)) @t476)))))) % 0.45/1.02 (define @t788 () (@var "C5" tptp.com)) % 0.45/1.02 (define @t789 () (_ (_ (_ (_ tptp.execn @t63) @t788) @t645) @t538)) % 0.45/1.02 (define @t790 () (@list @t645)) % 0.45/1.02 (define @t791 () (exists @t790 @t789)) % 0.45/1.02 (define @t792 () (@list @t63 @t788 @t538)) % 0.45/1.02 (define @t793 () (lambda @t792 @t791)) % 0.45/1.02 (define @t794 () (@var "BOUND_VARIABLE_18516" tptp.a)) % 0.45/1.02 (define @t795 () (tptp.qa @t794 @t25)) % 0.45/1.02 (define @t796 () (not (tptp.pa @t794 @t13))) % 0.45/1.02 (define @t797 () (not (tptp.member1389040324_state (tptp.produc64584659_state @t13 tptp.x) tptp.r))) % 0.45/1.02 (define @t798 () (@var "BOUND_VARIABLE_18512" tptp.nat)) % 0.45/1.02 (define @t799 () (not (tptp.execn @t13 tptp.body @t798 @t25))) % 0.45/1.02 (define @t800 () (@list @t13 @t25 @t798 @t794)) % 0.45/1.02 (define @t801 () (forall @t800 (or @t799 @t797 @t796 @t795))) % 0.45/1.02 (define @t802 () (@quantifiers_skolemize @t801 1)) % 0.45/1.02 (define @t803 () (@quantifiers_skolemize @t801 2)) % 0.45/1.02 (define @t804 () (@quantifiers_skolemize @t801 0)) % 0.45/1.02 (define @t805 () (tptp.execn @t804 tptp.body @t803 @t802)) % 0.45/1.02 (define @t806 () (@quantifiers_skolemize @t801 3)) % 0.45/1.02 (define @t807 () (tptp.qa @t806 @t802)) % 0.45/1.02 (define @t808 () (tptp.pa @t806 @t804)) % 0.45/1.02 (define @t809 () (not @t808)) % 0.45/1.02 (define @t810 () (tptp.member1389040324_state (tptp.produc64584659_state @t804 tptp.x) tptp.r)) % 0.45/1.02 (define @t811 () (not @t810)) % 0.45/1.02 (define @t812 () (not @t805)) % 0.45/1.02 (define @t813 () (or @t812 @t811 @t809 @t807)) % 0.45/1.02 (define @t814 () (@var "BOUND_VARIABLE_18812" tptp.a)) % 0.45/1.02 (define @t815 () (not (tptp.pa @t814 @t256))) % 0.45/1.02 (define @t816 () (tptp.termi tptp.body @t256)) % 0.45/1.02 (define @t817 () (or @t816 @t815)) % 0.45/1.02 (define @t818 () (@var "BOUND_VARIABLE_18800" tptp.state)) % 0.45/1.02 (define @t819 () (@var "BOUND_VARIABLE_18804" tptp.a)) % 0.45/1.02 (define @t820 () (@var "BOUND_VARIABLE_18802" tptp.nat)) % 0.45/1.02 (define @t821 () (or (not (tptp.execn @t256 tptp.body @t820 @t818)) (not (tptp.pa @t819 @t256)) (tptp.qa @t819 @t818))) % 0.45/1.02 (define @t822 () (and @t821 @t817)) % 0.45/1.02 (define @t823 () (tptp.produc64584659_state @t256 tptp.x)) % 0.45/1.02 (define @t824 () (tptp.member1389040324_state @t823 tptp.r)) % 0.45/1.02 (define @t825 () (not @t824)) % 0.45/1.02 (define @t826 () (or @t825 @t822)) % 0.45/1.02 (define @t827 () (@list @t818 @t820 @t819 @t814)) % 0.45/1.02 (define @t828 () (forall @t827 @t826)) % 0.45/1.02 (define @t829 () (@list @t814)) % 0.45/1.02 (define @t830 () (forall @t829 @t815)) % 0.45/1.02 (define @t831 () (@list @t18)) % 0.45/1.02 (define @t832 () (or @t816 @t830)) % 0.45/1.02 (define @t833 () (forall @t829 @t817)) % 0.45/1.02 (define @t834 () (forall @t827 @t817)) % 0.45/1.02 (define @t835 () (forall (@list @t818 @t820 @t819) @t821)) % 0.45/1.02 (define @t836 () (@var "BOUND_VARIABLE_18748" tptp.a)) % 0.45/1.02 (define @t837 () (@var "BOUND_VARIABLE_18744" tptp.nat)) % 0.45/1.02 (define @t838 () (forall @t827 @t821)) % 0.45/1.02 (define @t839 () (and @t838 @t834)) % 0.45/1.02 (define @t840 () (forall @t827 @t822)) % 0.45/1.02 (define @t841 () (or @t825 @t840)) % 0.45/1.02 (define @t842 () (not (tptp.pa @t18 @t256))) % 0.45/1.02 (define @t843 () (or @t816 (forall @t21 @t842))) % 0.45/1.02 (define @t844 () (tptp.qa @t836 @t678)) % 0.45/1.02 (define @t845 () (not (tptp.pa @t836 @t256))) % 0.45/1.02 (define @t846 () (not (tptp.execn @t256 tptp.body @t837 @t678))) % 0.45/1.02 (define @t847 () (or @t846 @t845 @t844)) % 0.45/1.02 (define @t848 () (@list @t678 @t837 @t836)) % 0.45/1.02 (define @t849 () (and (forall @t848 @t847) @t843)) % 0.45/1.02 (define @t850 () (not @t717)) % 0.45/1.02 (define @t851 () (or @t850 @t849)) % 0.45/1.02 (define @t852 () (or @t816 @t842)) % 0.45/1.02 (define @t853 () (or @t842 @t816)) % 0.45/1.02 (define @t854 () (not (= @t256 @t256))) % 0.45/1.02 (define @t855 () (or @t842 @t854 @t816)) % 0.45/1.02 (define @t856 () (tptp.termi tptp.body @t669)) % 0.45/1.02 (define @t857 () (= @t256 @t669)) % 0.45/1.02 (define @t858 () (not @t857)) % 0.45/1.02 (define @t859 () (tptp.pa @t18 @t669)) % 0.45/1.02 (define @t860 () (not @t859)) % 0.45/1.02 (define @t861 () (not @t707)) % 0.45/1.02 (define @t862 () (@list @t669)) % 0.45/1.02 (define @t863 () (or @t858 @t860 @t858 @t856)) % 0.45/1.02 (define @t864 () (or @t860 @t858 @t856)) % 0.45/1.02 (define @t865 () (forall @t862 @t864)) % 0.45/1.02 (define @t866 () (forall @t21 @t865)) % 0.45/1.02 (define @t867 () (not @t673)) % 0.45/1.02 (define @t868 () (or @t867 @t858 @t670)) % 0.45/1.02 (define @t869 () (or @t867 @t858)) % 0.45/1.02 (define @t870 () (and @t673 @t857)) % 0.45/1.02 (define @t871 () (not @t870)) % 0.45/1.02 (define @t872 () (or @t846 @t854 @t845 @t844)) % 0.45/1.02 (define @t873 () (not (tptp.pa @t836 @t669))) % 0.45/1.02 (define @t874 () (not (tptp.execn @t669 tptp.body @t837 @t678))) % 0.45/1.02 (define @t875 () (or @t858 @t874 @t858 @t873 @t844)) % 0.45/1.02 (define @t876 () (or @t874 @t858 @t873 @t844)) % 0.45/1.02 (define @t877 () (forall @t862 @t876)) % 0.45/1.02 (define @t878 () (forall @t848 @t877)) % 0.45/1.02 (define @t879 () (forall (@list @t678 @t837 @t836 @t669) @t876)) % 0.45/1.02 (define @t880 () (@list @t669 @t678 @t837 @t836)) % 0.45/1.02 (define @t881 () (or @t873 @t844)) % 0.45/1.02 (define @t882 () (or @t874 @t858 @t881)) % 0.45/1.02 (define @t883 () (forall @t880 @t882)) % 0.45/1.02 (define @t884 () (forall (@list @t837 @t836) @t882)) % 0.45/1.02 (define @t885 () (forall (@list @t836) @t881)) % 0.45/1.02 (define @t886 () (forall (@list @t837) @t874)) % 0.45/1.02 (define @t887 () (@list @t645)) % 0.45/1.02 (define @t888 () (or @t886 @t858 @t885)) % 0.45/1.02 (define @t889 () (tptp.qa @t18 @t678)) % 0.45/1.02 (define @t890 () (forall @t21 (or @t860 @t889))) % 0.45/1.02 (define @t891 () (forall @t790 (not (tptp.execn @t669 tptp.body @t645 @t678)))) % 0.45/1.02 (define @t892 () (or @t891 @t858 @t890)) % 0.45/1.02 (define @t893 () (or @t858 @t890)) % 0.45/1.02 (define @t894 () (not @t891)) % 0.45/1.02 (define @t895 () (not @t894)) % 0.45/1.02 (define @t896 () (or @t867 @t679)) % 0.45/1.02 (define @t897 () (forall @t21 @t896)) % 0.45/1.02 (define @t898 () (or @t858 @t897)) % 0.45/1.02 (define @t899 () (or @t858 @t896)) % 0.45/1.02 (define @t900 () (or @t867 @t858 @t679)) % 0.45/1.02 (define @t901 () (@list @t538)) % 0.45/1.02 (define @t902 () (lambda @t901 (not (forall @t790 (not (tptp.execn @t669 tptp.body @t645 @t538)))))) % 0.45/1.02 (define @t903 () (@list @t788 @t538)) % 0.45/1.02 (define @t904 () (lambda @t903 (not (forall @t790 (not (tptp.execn @t669 @t788 @t645 @t538)))))) % 0.45/1.02 (define @t905 () (tptp.execn @t63 @t788 @t645 @t538)) % 0.45/1.02 (define @t906 () (lambda @t792 (not (forall @t790 (not @t905))))) % 0.45/1.02 (define @t907 () (_ @t906 @t669)) % 0.45/1.02 (define @t908 () (_ (_ @t907 tptp.body) @t678)) % 0.45/1.02 (define @t909 () (=> @t908 @t712)) % 0.45/1.02 (define @t910 () (forall @t684 @t909)) % 0.45/1.02 (define @t911 () (and @t910 @t710)) % 0.45/1.02 (define @t912 () (=> @t717 @t911)) % 0.45/1.02 (define @t913 () (not @t789)) % 0.45/1.02 (define @t914 () (forall @t790 @t913)) % 0.45/1.02 (define @t915 () (not @t914)) % 0.45/1.02 (define @t916 () (@var "BOUND_VARIABLE_18841" tptp.a)) % 0.45/1.02 (define @t917 () (tptp.qa @t916 @t25)) % 0.45/1.02 (define @t918 () (not (tptp.pa @t916 tptp.x))) % 0.45/1.02 (define @t919 () (@var "BOUND_VARIABLE_18837" tptp.nat)) % 0.45/1.02 (define @t920 () (not (tptp.execn tptp.x tptp.body @t919 @t25))) % 0.45/1.02 (define @t921 () (or @t920 @t918 @t917)) % 0.45/1.02 (define @t922 () (@list @t25 @t919 @t916)) % 0.45/1.02 (define @t923 () (forall @t922 @t921)) % 0.45/1.02 (define @t924 () (@quantifiers_skolemize @t923 2)) % 0.45/1.02 (define @t925 () (or @t812 @t809 @t807)) % 0.45/1.02 (define @t926 () (and @t925 (or (tptp.termi tptp.body @t804) (not (tptp.pa @t924 @t804))))) % 0.45/1.02 (define @t927 () (or @t811 @t926)) % 0.45/1.02 (define @t928 () (not @t813)) % 0.45/1.02 (define @t929 () (not @t801)) % 0.45/1.02 (define @t930 () (@list false)) % 0.45/1.02 (define @t931 () (tptp.termi tptp.body @t13)) % 0.45/1.02 (define @t932 () (tptp.pa @t14 @t13)) % 0.45/1.02 (define @t933 () (not @t932)) % 0.45/1.02 (define @t934 () (forall @t16 (or @t933 @t797 @t931))) % 0.45/1.02 (define @t935 () (@quantifiers_skolemize @t934 1)) % 0.45/1.02 (define @t936 () (@quantifiers_skolemize @t934 0)) % 0.45/1.02 (define @t937 () (tptp.pa @t936 @t935)) % 0.45/1.02 (define @t938 () (tptp.termi tptp.body @t935)) % 0.45/1.02 (define @t939 () (tptp.member1389040324_state (tptp.produc64584659_state @t935 tptp.x) tptp.r)) % 0.45/1.02 (define @t940 () (not @t939)) % 0.45/1.02 (define @t941 () (not @t937)) % 0.45/1.02 (define @t942 () (or @t941 @t940 @t938)) % 0.45/1.02 (define @t943 () (@quantifiers_skolemize @t923 1)) % 0.45/1.02 (define @t944 () (or @t938 @t941)) % 0.45/1.02 (define @t945 () (and (or (not (tptp.execn @t935 tptp.body @t943 tptp.x)) (not (tptp.pa @t924 @t935)) (tptp.qa @t924 tptp.x)) @t944)) % 0.45/1.02 (define @t946 () (or @t940 @t945)) % 0.45/1.02 (define @t947 () (not @t942)) % 0.45/1.02 (define @t948 () (not @t934)) % 0.45/1.02 (define @t949 () (@var "BOUND_VARIABLE_18650" tptp.state)) % 0.45/1.02 (define @t950 () (@var "BOUND_VARIABLE_18713" tptp.a)) % 0.45/1.02 (define @t951 () (not (tptp.pa @t950 @t949))) % 0.45/1.02 (define @t952 () (tptp.termi tptp.body @t949)) % 0.45/1.02 (define @t953 () (or @t952 @t951)) % 0.45/1.02 (define @t954 () (@var "BOUND_VARIABLE_18701" tptp.state)) % 0.45/1.02 (define @t955 () (@var "BOUND_VARIABLE_18705" tptp.a)) % 0.45/1.02 (define @t956 () (@var "BOUND_VARIABLE_18703" tptp.nat)) % 0.45/1.02 (define @t957 () (or (not (tptp.execn @t949 tptp.body @t956 @t954)) (not (tptp.pa @t955 @t949)) (tptp.qa @t955 @t954))) % 0.45/1.02 (define @t958 () (and @t957 @t953)) % 0.45/1.02 (define @t959 () (not (tptp.member1389040324_state (tptp.produc64584659_state @t13 @t949) tptp.r))) % 0.45/1.02 (define @t960 () (not (forall @t16 (or @t933 @t959 @t931)))) % 0.45/1.02 (define @t961 () (not (forall @t800 (or @t799 @t959 @t796 @t795)))) % 0.45/1.02 (define @t962 () (or @t961 @t960 @t958)) % 0.45/1.02 (define @t963 () (forall (@list @t949 @t954 @t956 @t955 @t950) @t962)) % 0.45/1.02 (define @t964 () (@var "BOUND_VARIABLE_18628" tptp.state)) % 0.45/1.02 (define @t965 () (= @t63 @t964)) % 0.45/1.02 (define @t966 () (tptp.pa @t64 @t63)) % 0.45/1.02 (define @t967 () (and @t966 @t965)) % 0.45/1.02 (define @t968 () (lambda @t66 @t967)) % 0.45/1.02 (define @t969 () (@var "BOUND_VARIABLE_20246" tptp.produc696469763tate_o)) % 0.45/1.02 (define @t970 () (lambda (@list @t969) false)) % 0.45/1.02 (define @t971 () (tptp.collec1499596504tate_o @t970)) % 0.45/1.02 (define @t972 () (_ tptp.collec1499596504tate_o @t970)) % 0.45/1.02 (define @t973 () (tptp.member1838112666tate_o @t45 @t972)) % 0.45/1.02 (define @t974 () (tptp.produc1948644831tate_o tptp.call tptp.qa)) % 0.45/1.02 (define @t975 () (tptp.produc64584659_state @t63 @t964)) % 0.45/1.02 (define @t976 () (tptp.member1389040324_state @t975 tptp.r)) % 0.45/1.02 (define @t977 () (and @t966 @t976)) % 0.45/1.02 (define @t978 () (lambda @t66 @t977)) % 0.45/1.02 (define @t979 () (tptp.produc33908149tate_o @t978 @t974)) % 0.45/1.02 (define @t980 () (= @t45 @t979)) % 0.45/1.02 (define @t981 () (or @t980 @t973)) % 0.45/1.02 (define @t982 () (lambda @t47 @t981)) % 0.45/1.02 (define @t983 () (tptp.collec1499596504tate_o @t982)) % 0.45/1.02 (define @t984 () (tptp.pHoare382919414oare_a @t983 @t968 tptp.body tptp.qa)) % 0.45/1.02 (define @t985 () (@list @t964)) % 0.45/1.02 (define @t986 () (forall @t985 @t984)) % 0.45/1.02 (define @t987 () (tptp.member1838112666tate_o @t45 tptp.bot_bo170732493tate_o)) % 0.45/1.02 (define @t988 () (or @t980 @t987)) % 0.45/1.02 (define @t989 () (lambda @t47 @t988)) % 0.45/1.02 (define @t990 () (tptp.collec1499596504tate_o @t989)) % 0.45/1.02 (define @t991 () (tptp.pHoare382919414oare_a @t990 @t968 tptp.body tptp.qa)) % 0.45/1.02 (define @t992 () (forall @t985 @t991)) % 0.45/1.02 (define @t993 () (@list @t954 @t956 @t955 @t950)) % 0.45/1.02 (define @t994 () (forall @t993 @t962)) % 0.45/1.02 (define @t995 () (@list @t949)) % 0.45/1.02 (define @t996 () (@list @t950)) % 0.45/1.02 (define @t997 () (forall @t996 @t951)) % 0.45/1.02 (define @t998 () (or @t952 @t997)) % 0.45/1.02 (define @t999 () (forall @t996 @t953)) % 0.45/1.02 (define @t1000 () (forall @t993 @t953)) % 0.45/1.02 (define @t1001 () (forall (@list @t954 @t956 @t955) @t957)) % 0.45/1.02 (define @t1002 () (@var "BOUND_VARIABLE_18577" tptp.a)) % 0.45/1.02 (define @t1003 () (@var "BOUND_VARIABLE_18573" tptp.nat)) % 0.45/1.02 (define @t1004 () (forall @t993 @t957)) % 0.45/1.02 (define @t1005 () (and @t1004 @t1000)) % 0.45/1.02 (define @t1006 () (forall @t993 @t958)) % 0.45/1.02 (define @t1007 () (or @t961 @t960 @t1006)) % 0.45/1.02 (define @t1008 () (tptp.qa @t1002 @t678)) % 0.45/1.02 (define @t1009 () (@list @t678 @t1003 @t1002)) % 0.45/1.02 (define @t1010 () (forall @t995 (or @t961 @t960 (and (forall @t1009 (or (not (tptp.execn @t949 tptp.body @t1003 @t678)) (not (tptp.pa @t1002 @t949)) @t1008)) (or @t952 (forall @t21 (not (tptp.pa @t18 @t949)))))))) % 0.45/1.02 (define @t1011 () (and @t700 @t965)) % 0.45/1.02 (define @t1012 () (lambda @t66 @t1011)) % 0.45/1.02 (define @t1013 () (_ @t68 @t964)) % 0.45/1.02 (define @t1014 () (_ (_ tptp.member1389040324_state @t1013) tptp.r)) % 0.45/1.02 (define @t1015 () (and @t700 @t1014)) % 0.45/1.02 (define @t1016 () (lambda @t66 @t1015)) % 0.45/1.02 (define @t1017 () (_ (_ tptp.produc33908149tate_o @t1016) @t702)) % 0.45/1.02 (define @t1018 () (= @t45 @t1017)) % 0.45/1.02 (define @t1019 () (or @t1018 @t772)) % 0.45/1.02 (define @t1020 () (lambda @t47 @t1019)) % 0.45/1.02 (define @t1021 () (_ tptp.collec1499596504tate_o @t1020)) % 0.45/1.02 (define @t1022 () (_ (_ (_ (_ tptp.pHoare382919414oare_a @t1021) @t1012) tptp.body) tptp.qa)) % 0.45/1.02 (define @t1023 () (forall @t985 @t1022)) % 0.45/1.02 (define @t1024 () (not (tptp.pa @t18 @t671))) % 0.45/1.02 (define @t1025 () (tptp.termi tptp.body @t671)) % 0.45/1.02 (define @t1026 () (or @t1025 (forall @t21 @t1024))) % 0.45/1.02 (define @t1027 () (not (tptp.pa @t1002 @t671))) % 0.45/1.02 (define @t1028 () (not (tptp.execn @t671 tptp.body @t1003 @t678))) % 0.45/1.02 (define @t1029 () (or @t1028 @t1027 @t1008)) % 0.45/1.02 (define @t1030 () (and (forall @t1009 @t1029) @t1026)) % 0.45/1.02 (define @t1031 () (tptp.produc64584659_state @t13 @t671)) % 0.45/1.02 (define @t1032 () (tptp.member1389040324_state @t1031 tptp.r)) % 0.45/1.02 (define @t1033 () (not @t1032)) % 0.45/1.02 (define @t1034 () (forall @t16 (or @t933 @t1033 @t931))) % 0.45/1.02 (define @t1035 () (not @t1034)) % 0.45/1.02 (define @t1036 () (or @t799 @t1033 @t796 @t795)) % 0.45/1.02 (define @t1037 () (forall @t800 @t1036)) % 0.45/1.02 (define @t1038 () (not @t1037)) % 0.45/1.02 (define @t1039 () (or @t1038 @t1035 @t1030)) % 0.45/1.02 (define @t1040 () (forall @t705 @t1039)) % 0.45/1.02 (define @t1041 () (@list @t671)) % 0.45/1.02 (define @t1042 () (= @t45 @t703)) % 0.45/1.02 (define @t1043 () (_ tptp.collec1499596504tate_o (lambda @t47 (or @t1042 @t772)))) % 0.45/1.02 (define @t1044 () (_ (_ (_ (_ tptp.pHoare382919414oare_a @t1043) @t701) tptp.body) tptp.qa)) % 0.45/1.02 (define @t1045 () (forall @t705 @t1044)) % 0.45/1.02 (define @t1046 () (and @t1045 @t1040)) % 0.45/1.02 (define @t1047 () (and @t1037 @t1034)) % 0.45/1.02 (define @t1048 () (and @t1044 (=> @t1047 @t1030))) % 0.45/1.02 (define @t1049 () (or @t1025 @t1024)) % 0.45/1.02 (define @t1050 () (or @t1024 @t1025)) % 0.45/1.02 (define @t1051 () (not (= @t671 @t671))) % 0.45/1.02 (define @t1052 () (or @t1024 @t1051 @t1025)) % 0.45/1.02 (define @t1053 () (= @t671 @t669)) % 0.45/1.02 (define @t1054 () (not @t1053)) % 0.45/1.02 (define @t1055 () (not @t672)) % 0.45/1.02 (define @t1056 () (or @t1054 @t860 @t1054 @t856)) % 0.45/1.02 (define @t1057 () (or @t860 @t1054 @t856)) % 0.45/1.02 (define @t1058 () (forall @t862 @t1057)) % 0.45/1.02 (define @t1059 () (forall @t21 @t1058)) % 0.45/1.02 (define @t1060 () (or @t867 @t1054 @t670)) % 0.45/1.02 (define @t1061 () (or @t867 @t1054)) % 0.45/1.02 (define @t1062 () (and @t673 @t1053)) % 0.45/1.02 (define @t1063 () (not @t1062)) % 0.45/1.02 (define @t1064 () (or @t1028 @t1051 @t1027 @t1008)) % 0.45/1.02 (define @t1065 () (not (tptp.pa @t1002 @t669))) % 0.45/1.02 (define @t1066 () (not (tptp.execn @t669 tptp.body @t1003 @t678))) % 0.45/1.02 (define @t1067 () (or @t1054 @t1066 @t1054 @t1065 @t1008)) % 0.45/1.02 (define @t1068 () (or @t1066 @t1054 @t1065 @t1008)) % 0.45/1.02 (define @t1069 () (forall @t862 @t1068)) % 0.45/1.02 (define @t1070 () (forall @t1009 @t1069)) % 0.45/1.02 (define @t1071 () (forall (@list @t678 @t1003 @t1002 @t669) @t1068)) % 0.45/1.02 (define @t1072 () (@list @t669 @t678 @t1003 @t1002)) % 0.45/1.02 (define @t1073 () (or @t1065 @t1008)) % 0.45/1.02 (define @t1074 () (or @t1066 @t1054 @t1073)) % 0.45/1.02 (define @t1075 () (forall @t1072 @t1074)) % 0.45/1.02 (define @t1076 () (forall (@list @t1003 @t1002) @t1074)) % 0.45/1.02 (define @t1077 () (forall (@list @t1002) @t1073)) % 0.45/1.02 (define @t1078 () (forall (@list @t1003) @t1066)) % 0.45/1.02 (define @t1079 () (or @t1078 @t1054 @t1077)) % 0.45/1.02 (define @t1080 () (or @t891 @t1054 @t890)) % 0.45/1.02 (define @t1081 () (or @t1054 @t890)) % 0.45/1.02 (define @t1082 () (or @t1054 @t897)) % 0.45/1.02 (define @t1083 () (or @t1054 @t896)) % 0.45/1.02 (define @t1084 () (or @t867 @t1054 @t679)) % 0.45/1.02 (define @t1085 () (=> @t908 @t681)) % 0.45/1.02 (define @t1086 () (forall @t684 @t1085)) % 0.45/1.02 (define @t1087 () (and @t1086 @t677)) % 0.45/1.02 (define @t1088 () (not @t689)) % 0.45/1.02 (define @t1089 () (or @t721 @t1088 @t687)) % 0.45/1.02 (define @t1090 () (or @t721 @t1088)) % 0.45/1.02 (define @t1091 () (not @t691)) % 0.45/1.02 (define @t1092 () (or @t796 @t795)) % 0.45/1.02 (define @t1093 () (or @t799 @t1033 @t1092)) % 0.45/1.02 (define @t1094 () (forall @t800 @t1093)) % 0.45/1.02 (define @t1095 () (forall (@list @t798 @t794) @t1093)) % 0.45/1.02 (define @t1096 () (forall (@list @t794) @t1092)) % 0.45/1.02 (define @t1097 () (@list @t14)) % 0.45/1.02 (define @t1098 () (forall (@list @t798) @t799)) % 0.45/1.02 (define @t1099 () (or @t1098 @t1033 @t1096)) % 0.45/1.02 (define @t1100 () (tptp.qa @t14 @t25)) % 0.45/1.02 (define @t1101 () (forall @t23 (or @t933 @t1100))) % 0.45/1.02 (define @t1102 () (forall @t790 (not (tptp.execn @t13 tptp.body @t645 @t25)))) % 0.45/1.02 (define @t1103 () (or @t1102 @t1088 @t1101)) % 0.45/1.02 (define @t1104 () (or @t1088 @t1101)) % 0.45/1.02 (define @t1105 () (not @t1102)) % 0.45/1.02 (define @t1106 () (or @t721 @t693)) % 0.45/1.02 (define @t1107 () (forall @t23 @t1106)) % 0.45/1.02 (define @t1108 () (or @t1088 @t1107)) % 0.45/1.02 (define @t1109 () (or @t1088 @t1106)) % 0.45/1.02 (define @t1110 () (or @t721 @t1088 @t693)) % 0.45/1.02 (define @t1111 () (lambda @t901 (not (forall @t790 (not (tptp.execn @t13 tptp.body @t645 @t538)))))) % 0.45/1.02 (define @t1112 () (lambda @t903 (not (forall @t790 (not (tptp.execn @t13 @t788 @t645 @t538)))))) % 0.45/1.02 (define @t1113 () (_ @t906 @t13)) % 0.45/1.02 (define @t1114 () (_ (_ @t1113 tptp.body) @t25)) % 0.45/1.02 (define @t1115 () (=> @t1114 @t694)) % 0.45/1.02 (define @t1116 () (forall @t26 @t1115)) % 0.45/1.02 (define @t1117 () (and @t1116 @t692)) % 0.45/1.02 (define @t1118 () (=> @t1117 @t1087)) % 0.45/1.02 (define @t1119 () (lambda (@list @t737) (_ tptp.collec1499596504tate_o (lambda @t47 (or @t1042 @t738))))) % 0.45/1.02 (define @t1120 () (_ @t740 @t703)) % 0.45/1.02 (define @t1121 () (and (_ (_ (_ (_ tptp.pHoare382919414oare_a (_ @t1120 tptp.bot_bo170732493tate_o)) @t701) tptp.body) tptp.qa) @t1118)) % 0.45/1.02 (define @t1122 () (not (tptp.pa @t14 tptp.x))) % 0.45/1.02 (define @t1123 () (forall @t23 @t1122)) % 0.45/1.02 (define @t1124 () (@quantifiers_skolemize @t1123 0)) % 0.45/1.02 (define @t1125 () (@quantifiers_skolemize @t923 0)) % 0.45/1.02 (define @t1126 () (not (tptp.pa @t924 tptp.x))) % 0.45/1.02 (define @t1127 () (tptp.termi tptp.body tptp.x)) % 0.45/1.02 (define @t1128 () (or (not (tptp.execn tptp.x tptp.body @t943 @t1125)) @t1126 (tptp.qa @t924 @t1125))) % 0.45/1.02 (define @t1129 () (and @t1128 (or @t1127 @t1126))) % 0.45/1.02 (define @t1130 () (or @t929 @t948 @t1129)) % 0.45/1.02 (define @t1131 () (not @t1128)) % 0.45/1.02 (define @t1132 () (not @t923)) % 0.45/1.02 (define @t1133 () (or @t1127 @t1123)) % 0.45/1.02 (define @t1134 () (or @t1127 @t1122)) % 0.45/1.02 (define @t1135 () (or @t1122 @t1127)) % 0.45/1.02 (define @t1136 () (not (= tptp.x tptp.x))) % 0.45/1.02 (define @t1137 () (or @t1122 @t1136 @t1127)) % 0.45/1.02 (define @t1138 () (not (= tptp.x @t13))) % 0.45/1.02 (define @t1139 () (or @t1138 @t933 @t1138 @t931)) % 0.45/1.02 (define @t1140 () (or @t933 @t1138 @t931)) % 0.45/1.02 (define @t1141 () (forall @t24 @t1140)) % 0.45/1.02 (define @t1142 () (forall @t23 @t1141)) % 0.45/1.02 (define @t1143 () (or @t721 @t1138 @t687)) % 0.45/1.02 (define @t1144 () (or @t920 @t1136 @t918 @t917)) % 0.45/1.02 (define @t1145 () (not (tptp.pa @t916 @t13))) % 0.45/1.02 (define @t1146 () (not (tptp.execn @t13 tptp.body @t919 @t25))) % 0.45/1.02 (define @t1147 () (or @t1138 @t1146 @t1138 @t1145 @t917)) % 0.45/1.02 (define @t1148 () (or @t1146 @t1138 @t1145 @t917)) % 0.45/1.02 (define @t1149 () (forall @t24 @t1148)) % 0.45/1.02 (define @t1150 () (forall @t922 @t1149)) % 0.45/1.02 (define @t1151 () (forall (@list @t25 @t919 @t916 @t13) @t1148)) % 0.45/1.02 (define @t1152 () (@list @t13 @t25 @t919 @t916)) % 0.45/1.02 (define @t1153 () (or @t1145 @t917)) % 0.45/1.02 (define @t1154 () (or @t1146 @t1138 @t1153)) % 0.45/1.02 (define @t1155 () (forall @t1152 @t1154)) % 0.45/1.02 (define @t1156 () (forall (@list @t919 @t916) @t1154)) % 0.45/1.02 (define @t1157 () (forall (@list @t916) @t1153)) % 0.45/1.02 (define @t1158 () (forall (@list @t919) @t1146)) % 0.45/1.02 (define @t1159 () (or @t1158 @t1138 @t1157)) % 0.45/1.02 (define @t1160 () (or @t1102 @t1138 @t1101)) % 0.45/1.02 (define @t1161 () (or @t1138 @t1107)) % 0.45/1.02 (define @t1162 () (or @t1138 @t1106)) % 0.45/1.02 (define @t1163 () (or @t721 @t1138 @t693)) % 0.45/1.02 (define @t1164 () (not @t1114)) % 0.45/1.02 (define @t1165 () (or @t1164 @t725)) % 0.45/1.02 (define @t1166 () (forall @t26 @t1165)) % 0.45/1.02 (define @t1167 () (and @t1166 @t723)) % 0.45/1.02 (define @t1168 () (not @t1123)) % 0.45/1.02 (define @t1169 () (@list true)) % 0.45/1.02 (define @t1170 () (@list @t1133)) % 0.45/1.02 (define @t1171 () (tptp.pa @t1124 tptp.x)) % 0.45/1.02 (define @t1172 () (not @t1171)) % 0.45/1.02 (define @t1173 () (not @t1172)) % 0.45/1.02 (define @t1174 () (or @t1127 @t1172)) % 0.45/1.02 (define @t1175 () (not @t1174)) % 0.45/1.02 (define @t1176 () (and @t1128 @t1174)) % 0.45/1.02 (define @t1177 () (not @t1176)) % 0.45/1.02 (define @t1178 () (or @t929 @t948 @t1176)) % 0.45/1.02 (assume @p1 (forall @t6 (_ (_ (_ (_ tptp.pHoare382919414oare_a @t5) @t2) tptp.call) @t1))) % 0.45/1.02 (assume @p2 (forall (@list @t9 @t2 @t8 @t1 @t7) (=> @t17 (=> (forall @t16 (=> (_ @t15 @t13) (_ (_ @t7 @t14) @t13))) (_ @t12 @t7))))) % 0.45/1.02 (assume @p3 (forall (@list @t9 @t19 @t8 @t7 @t2 @t1) (=> (_ @t27 @t7) (=> (and (forall @t26 (=> (forall @t21 (=> @t20 (_ (_ @t7 @t18) @t25))) (forall @t23 (=> @t22 (_ @t15 @t25))))) (forall @t24 (=> (exists @t23 @t22) (exists @t21 @t20)))) @t17)))) % 0.45/1.02 (assume @p4 (forall (@list @t19 @t2 @t9 @t8 @t1) (=> (forall @t16 (=> (_ (_ @t19 @t14) @t13) @t22)) (=> @t17 (_ @t27 @t1))))) % 0.45/1.02 (assume @p5 (forall @t34 (= (_ tptp.collec496201222_state (lambda @t33 @t32)) @t30))) % 0.45/1.02 (assume @p6 (forall @t41 (= (_ tptp.collec7649004at_nat (lambda @t40 @t39)) @t37))) % 0.45/1.02 (assume @p7 (forall @t48 (= (_ tptp.collec1499596504tate_o (lambda @t47 @t46)) @t44))) % 0.45/1.02 (assume @p8 (forall @t34 (= (_ tptp.collec496201222_state (_ (lambda (@list @t50 @t49) (= @t50 @t49)) @t28)) @t30))) % 0.45/1.02 (assume @p9 (forall @t41 (= (_ tptp.collec7649004at_nat (_ (lambda (@list @t52 @t51) (= @t52 @t51)) @t35)) @t37))) % 0.45/1.02 (assume @p10 (forall @t48 (= (_ tptp.collec1499596504tate_o (_ (lambda (@list @t54 @t53) (= @t54 @t53)) @t42)) @t44))) % 0.45/1.02 (assume @p11 (forall @t34 (_ @t55 @t30))) % 0.45/1.02 (assume @p12 (forall @t41 (_ @t56 @t37))) % 0.45/1.02 (assume @p13 (forall @t48 (_ @t57 @t44))) % 0.45/1.02 (assume @p14 (forall (@list @t58) (=> (_ @t59 @t58) (_ (_ tptp.termi tptp.call) @t58)))) % 0.45/1.02 (assume @p15 (forall (@list @t58 @t60) (=> (_ (_ @t61 tptp.body) @t60) (_ (_ @t61 tptp.call) @t60)))) % 0.45/1.02 (assume @p16 (forall (@list @t67 @t2 @t1) (=> @t71 (=> (forall @t70 (_ (_ (_ (_ tptp.pHoare382919414oare_a (_ (_ tptp.insert2053719859tate_o (_ (_ tptp.produc33908149tate_o @t69) @t4)) tptp.bot_bo170732493tate_o)) (lambda @t66 (and @t65 (= @t63 @t62)))) tptp.body) @t1)) (_ (_ (_ (_ tptp.pHoare382919414oare_a tptp.bot_bo170732493tate_o) @t2) tptp.call) @t1))))) % 0.45/1.02 (assume @p17 (forall @t79 (=> (=> (not @t78) @t77) @t76))) % 0.45/1.02 (assume @p18 (forall @t87 (=> (=> (not @t86) @t85) @t84))) % 0.45/1.02 (assume @p19 (forall @t95 (=> (=> (not @t94) @t93) @t92))) % 0.45/1.02 (assume @p20 (forall @t99 (= @t98 (or @t77 @t97)))) % 0.45/1.02 (assume @p21 (forall @t103 (= @t102 (or @t85 @t101)))) % 0.45/1.02 (assume @p22 (forall @t107 (= @t106 (or @t93 @t105)))) % 0.45/1.02 (assume @p23 (forall @t111 (= (_ @t109 @t110) @t110))) % 0.45/1.02 (assume @p24 (forall @t115 (= (_ @t113 @t114) @t114))) % 0.45/1.02 (assume @p25 (forall @t119 (= (_ @t117 @t118) @t118))) % 0.45/1.02 (assume @p26 (forall @t6 (=> (_ (_ @t120 tptp.body) @t1) (_ (_ (_ (_ tptp.hoare_a tptp.bot_bo170732493tate_o) @t2) tptp.call) @t1)))) % 0.45/1.02 (assume @p27 (forall (@list @t121) (not (_ (_ tptp.member1838112666tate_o @t121) tptp.bot_bo170732493tate_o)))) % 0.45/1.02 (assume @p28 (forall (@list @t122) (not (_ (_ tptp.member701585322at_nat @t122) tptp.bot_bo2130386637at_nat)))) % 0.45/1.02 (assume @p29 (forall (@list @t123) (not (_ (_ tptp.member1389040324_state @t123) tptp.bot_bo1625160935_state)))) % 0.45/1.02 (assume @p30 (forall @t127 (= (forall @t47 (not @t126)) @t124))) % 0.45/1.02 (assume @p31 (forall @t131 (= (forall @t40 (not @t130)) @t128))) % 0.45/1.02 (assume @p32 (forall @t135 (= (forall @t33 (not @t134)) @t132))) % 0.45/1.02 (assume @p33 (forall @t140 (= (= tptp.bot_bo170732493tate_o @t139) @t138))) % 0.45/1.02 (assume @p34 (forall @t145 (= (= tptp.bot_bo2130386637at_nat @t144) @t143))) % 0.45/1.02 (assume @p35 (forall @t150 (= (= tptp.bot_bo1625160935_state @t149) @t148))) % 0.45/1.02 (assume @p36 (forall @t140 (= @t151 @t138))) % 0.45/1.02 (assume @p37 (forall @t145 (= @t152 @t143))) % 0.45/1.02 (assume @p38 (forall @t150 (= @t153 @t148))) % 0.45/1.02 (assume @p39 (forall @t127 (= (exists @t47 @t126) @t154))) % 0.45/1.02 (assume @p40 (forall @t131 (= (exists @t40 @t130) @t155))) % 0.45/1.02 (assume @p41 (forall @t135 (= (exists @t33 @t134) @t156))) % 0.45/1.02 (assume @p42 (forall @t127 (=> (forall @t160 (not @t159)) @t124))) % 0.45/1.02 (assume @p43 (forall @t131 (=> (forall @t164 (not @t163)) @t128))) % 0.45/1.02 (assume @p44 (forall @t135 (=> (forall @t168 (not @t167)) @t132))) % 0.45/1.02 (assume @p45 (forall (@list @t104 @t42) (=> @t124 @t169))) % 0.45/1.02 (assume @p46 (forall (@list @t100 @t35) (=> @t128 @t170))) % 0.45/1.02 (assume @p47 (forall (@list @t96 @t28) (=> @t132 @t171))) % 0.45/1.02 (assume @p48 (forall @t48 (not (_ @t57 tptp.bot_bo170732493tate_o)))) % 0.45/1.02 (assume @p49 (forall @t41 (not (_ @t56 tptp.bot_bo2130386637at_nat)))) % 0.45/1.02 (assume @p50 (forall @t34 (not (_ @t55 tptp.bot_bo1625160935_state)))) % 0.45/1.02 (assume @p51 (forall @t174 (=> @t97 (exists @t173 (and (= @t96 (_ @t29 @t172)) (not (_ @t55 @t172))))))) % 0.45/1.02 (assume @p52 (forall @t177 (=> @t101 (exists @t176 (and (= @t100 (_ @t36 @t175)) (not (_ @t56 @t175))))))) % 0.45/1.02 (assume @p53 (forall @t180 (=> @t105 (exists @t179 (and (= @t104 (_ @t43 @t178)) (not (_ @t57 @t178))))))) % 0.45/1.02 (assume @p54 (forall (@list @t108 @t181 @t104) (= (_ @t109 (_ @t182 @t104)) (_ @t182 @t110)))) % 0.45/1.02 (assume @p55 (forall (@list @t112 @t183 @t100) (= (_ @t113 (_ @t184 @t100)) (_ @t184 @t114)))) % 0.45/1.02 (assume @p56 (forall (@list @t116 @t185 @t96) (= (_ @t117 (_ @t186 @t96)) (_ @t186 @t118)))) % 0.45/1.02 (assume @p57 (forall (@list @t28 @t96 @t73 @t72) (=> @t171 (=> (not (_ @t188 @t72)) (= (= @t191 @t75) (and (=> @t77 @t190) (=> @t189 (exists (@list @t187) (and (= @t96 (_ @t74 @t187)) (not (_ @t188 @t187)) (= @t72 (_ @t29 @t187)) (not (_ @t55 @t187))))))))))) % 0.45/1.02 (assume @p58 (forall (@list @t35 @t100 @t81 @t80) (=> @t170 (=> (not (_ @t193 @t80)) (= (= @t196 @t83) (and (=> @t85 @t195) (=> @t194 (exists (@list @t192) (and (= @t100 (_ @t82 @t192)) (not (_ @t193 @t192)) (= @t80 (_ @t36 @t192)) (not (_ @t56 @t192))))))))))) % 0.45/1.02 (assume @p59 (forall (@list @t42 @t104 @t89 @t88) (=> @t169 (=> (not (_ @t198 @t88)) (= (= @t201 @t91) (and (=> @t93 @t200) (=> @t199 (exists (@list @t197) (and (= @t104 (_ @t90 @t197)) (not (_ @t198 @t197)) (= @t88 (_ @t43 @t197)) (not (_ @t57 @t197))))))))))) % 0.45/1.02 (assume @p60 (forall @t174 (=> @t97 (= @t191 @t96)))) % 0.45/1.02 (assume @p61 (forall @t177 (=> @t101 (= @t196 @t100)))) % 0.45/1.02 (assume @p62 (forall @t180 (=> @t105 (= @t201 @t104)))) % 0.45/1.02 (assume @p63 (forall (@list @t116 @t96 @t72) (=> (not @t203) (=> (not (_ @t202 @t72)) (= (= @t118 (_ @t117 @t72)) @t190))))) % 0.45/1.02 (assume @p64 (forall (@list @t112 @t100 @t80) (=> (not @t205) (=> (not (_ @t204 @t80)) (= (= @t114 (_ @t113 @t80)) @t195))))) % 0.45/1.02 (assume @p65 (forall (@list @t108 @t104 @t88) (=> (not @t207) (=> (not (_ @t206 @t88)) (= (= @t110 (_ @t109 @t88)) @t200))))) % 0.45/1.02 (assume @p66 (forall @t119 (=> @t203 (not (forall @t173 (=> (= @t96 (_ @t117 @t172)) (_ @t202 @t172))))))) % 0.45/1.02 (assume @p67 (forall @t115 (=> @t205 (not (forall @t176 (=> (= @t100 (_ @t113 @t175)) (_ @t204 @t175))))))) % 0.45/1.02 (assume @p68 (forall @t111 (=> @t207 (not (forall @t179 (=> (= @t104 (_ @t109 @t178)) (_ @t206 @t178))))))) % 0.45/1.02 (assume @p69 (forall @t79 (=> @t78 @t76))) % 0.45/1.02 (assume @p70 (forall @t87 (=> @t86 @t84))) % 0.45/1.02 (assume @p71 (forall @t95 (=> @t94 @t92))) % 0.45/1.02 (assume @p72 (forall (@list @t28 @t72) (_ @t55 (_ @t29 @t72)))) % 0.45/1.02 (assume @p73 (forall (@list @t35 @t80) (_ @t56 (_ @t36 @t80)))) % 0.45/1.02 (assume @p74 (forall (@list @t42 @t88) (_ @t57 (_ @t43 @t88)))) % 0.45/1.02 (assume @p75 (forall @t99 (=> @t98 (=> @t189 @t97)))) % 0.45/1.02 (assume @p76 (forall @t103 (=> @t102 (=> @t194 @t101)))) % 0.45/1.02 (assume @p77 (forall @t107 (=> @t106 (=> @t199 @t105)))) % 0.45/1.02 (assume @p78 @t209) % 0.45/1.02 (assume @p79 (= tptp.bot_bo2130386637at_nat (_ tptp.collec7649004at_nat (lambda @t40 false)))) % 0.45/1.02 (assume @p80 (= tptp.bot_bo1625160935_state (_ tptp.collec496201222_state (lambda @t33 false)))) % 0.45/1.02 (assume @p81 (forall @t211 (= (_ @t29 @t149) (_ tptp.collec496201222_state (lambda (@list @t210) (=> (not (= @t210 @t28)) (_ @t146 @t210))))))) % 0.45/1.02 (assume @p82 (forall @t213 (= (_ @t36 @t144) (_ tptp.collec7649004at_nat (lambda (@list @t212) (=> (not (= @t212 @t35)) (_ @t141 @t212))))))) % 0.45/1.02 (assume @p83 (forall @t215 (= (_ @t43 @t139) (_ tptp.collec1499596504tate_o (lambda (@list @t214) (=> (not (= @t214 @t42)) (_ @t136 @t214))))))) % 0.45/1.02 (assume @p84 (forall (@list @t42 @t89) (=> (= @t44 @t216) @t93))) % 0.45/1.02 (assume @p85 (forall (@list @t35 @t81) (=> (= @t37 @t217) @t85))) % 0.45/1.02 (assume @p86 (forall (@list @t28 @t73) (=> (= @t30 @t218) @t77))) % 0.45/1.02 (assume @p87 (forall @t180 (not (= @t201 tptp.bot_bo170732493tate_o)))) % 0.45/1.02 (assume @p88 (forall @t177 (not (= @t196 tptp.bot_bo2130386637at_nat)))) % 0.45/1.02 (assume @p89 (forall @t174 (not (= @t191 tptp.bot_bo1625160935_state)))) % 0.45/1.02 (assume @p90 (forall (@list @t42 @t89 @t121 @t219) (= (= (_ @t43 @t216) (_ (_ tptp.insert2053719859tate_o @t121) (_ (_ tptp.insert2053719859tate_o @t219) tptp.bot_bo170732493tate_o))) (or (and (= @t42 @t121) (= @t89 @t219)) (and (= @t42 @t219) (= @t89 @t121)))))) % 0.45/1.02 (assume @p91 (forall (@list @t35 @t81 @t122 @t220) (= (= (_ @t36 @t217) (_ (_ tptp.insert271595217at_nat @t122) (_ (_ tptp.insert271595217at_nat @t220) tptp.bot_bo2130386637at_nat))) (or (and (= @t35 @t122) (= @t81 @t220)) (and (= @t35 @t220) (= @t81 @t122)))))) % 0.45/1.02 (assume @p92 (forall (@list @t28 @t73 @t123 @t221) (= (= (_ @t29 @t218) (_ (_ tptp.insert311944171_state @t123) (_ (_ tptp.insert311944171_state @t221) tptp.bot_bo1625160935_state))) (or (and (= @t28 @t123) (= @t73 @t221)) (and (= @t28 @t221) (= @t73 @t123)))))) % 0.45/1.02 (assume @p93 (forall @t224 (= @t223 @t222))) % 0.45/1.02 (assume @p94 (forall @t227 (= @t226 @t225))) % 0.45/1.02 (assume @p95 (forall @t230 (= @t229 @t228))) % 0.45/1.02 (assume @p96 (forall @t224 (=> @t223 @t222))) % 0.45/1.02 (assume @p97 (forall @t227 (=> @t226 @t225))) % 0.45/1.02 (assume @p98 (forall @t230 (=> @t229 @t228))) % 0.45/1.02 (assume @p99 (forall @t6 (_ (_ @t120 tptp.call) @t1))) % 0.45/1.02 (assume @p100 (forall @t234 (and (=> @t232 (= @t231 @t44)) (=> @t233 (= @t231 tptp.bot_bo170732493tate_o))))) % 0.45/1.02 (assume @p101 (forall @t238 (and (=> @t236 (= @t235 @t37)) (=> @t237 (= @t235 tptp.bot_bo2130386637at_nat))))) % 0.45/1.02 (assume @p102 (forall @t242 (and (=> @t240 (= @t239 @t30)) (=> @t241 (= @t239 tptp.bot_bo1625160935_state))))) % 0.45/1.02 (assume @p103 (forall @t234 (and (=> @t232 (= @t243 @t44)) (=> @t233 (= @t243 tptp.bot_bo170732493tate_o))))) % 0.45/1.02 (assume @p104 (forall @t238 (and (=> @t236 (= @t244 @t37)) (=> @t237 (= @t244 tptp.bot_bo2130386637at_nat))))) % 0.45/1.02 (assume @p105 (forall @t242 (and (=> @t240 (= @t245 @t30)) (=> @t241 (= @t245 tptp.bot_bo1625160935_state))))) % 0.45/1.02 (assume @p106 (_ tptp.wf_nat tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (assume @p107 (_ tptp.wf_state tptp.bot_bo1625160935_state)) % 0.45/1.02 (assume @p108 (forall @t211 (= (_ @t55 @t149) @t240))) % 0.45/1.02 (assume @p109 (forall @t213 (= (_ @t56 @t144) @t236))) % 0.45/1.02 (assume @p110 (forall @t215 (= (_ @t57 @t139) @t232))) % 0.45/1.02 (assume @p111 (forall @t135 (= (_ tptp.collec496201222_state (lambda @t33 @t134)) @t96))) % 0.45/1.02 (assume @p112 (forall @t131 (= (_ tptp.collec7649004at_nat (lambda @t40 @t130)) @t100))) % 0.45/1.02 (assume @p113 (forall @t127 (= (_ tptp.collec1499596504tate_o (lambda @t47 @t126)) @t104))) % 0.45/1.02 (assume @p114 (forall (@list @t146 @t246) (=> (forall @t248 (= (_ @t146 @t247) (_ @t246 @t247))) (= @t149 (_ tptp.collec496201222_state @t246))))) % 0.45/1.02 (assume @p115 (forall (@list @t141 @t249) (=> (forall @t251 (= (_ @t141 @t250) (_ @t249 @t250))) (= @t144 (_ tptp.collec7649004at_nat @t249))))) % 0.45/1.02 (assume @p116 (forall (@list @t136 @t252) (=> (forall @t254 (= (_ @t136 @t253) (_ @t252 @t253))) (= @t139 (_ tptp.collec1499596504tate_o @t252))))) % 0.45/1.02 (assume @p117 (forall (@list @t257 @t255) (=> @t262 (=> (not (= @t255 tptp.bot_bot_set_state)) @t261)))) % 0.45/1.02 (assume @p118 (forall (@list @t265 @t263) (=> @t270 (=> (not (= @t263 tptp.bot_bot_set_nat)) @t269)))) % 0.45/1.02 (assume @p119 (forall (@list @t273 @t271) (=> @t276 (=> (not (= @t271 tptp.bot_bo170732493tate_o)) @t275)))) % 0.45/1.02 (assume @p120 (forall (@list @t279 @t277) (=> @t282 (=> (not (= @t277 tptp.bot_bo2130386637at_nat)) @t281)))) % 0.45/1.02 (assume @p121 (forall (@list @t285 @t283) (=> @t288 (=> (not (= @t283 tptp.bot_bo1625160935_state)) @t287)))) % 0.45/1.02 (assume @p122 (forall @t290 (= (_ tptp.the_el1569055182tate_o @t289) @t108))) % 0.45/1.02 (assume @p123 (forall @t292 (= (_ tptp.the_el1949240438at_nat @t291) @t112))) % 0.45/1.02 (assume @p124 (forall @t294 (= (_ tptp.the_el1967402896_state @t293) @t116))) % 0.45/1.02 (assume @p125 (forall @t303 (= @t302 (and @t300 @t297)))) % 0.45/1.02 (assume @p126 (forall @t313 (= @t312 (and @t309 @t306)))) % 0.45/1.02 (assume @p127 (forall @t322 (= @t321 (and @t319 @t316)))) % 0.45/1.02 (assume @p128 (forall @t332 (= @t331 (and @t328 @t325)))) % 0.45/1.02 (assume @p129 (forall (@list @t336 @t334 @t335 @t333) (= (= (_ (_ tptp.produc33908149tate_o @t336) @t334) (_ (_ tptp.produc33908149tate_o @t335) @t333)) (and (= @t336 @t335) (= @t334 @t333))))) % 0.45/1.02 (assume @p130 (forall (@list @t340 @t338 @t339 @t337) (= (= @t341 (_ (_ tptp.produc64584659_state @t339) @t337)) (and (= @t340 @t339) (= @t338 @t337))))) % 0.45/1.02 (assume @p131 (forall (@list @t345 @t343 @t344 @t342) (= (= (_ (_ tptp.produc1948644831tate_o @t345) @t343) (_ (_ tptp.produc1948644831tate_o @t344) @t342)) (and (= @t345 @t344) (= @t343 @t342))))) % 0.45/1.02 (assume @p132 (forall (@list @t349 @t347 @t348 @t346) (= (= @t350 (_ (_ tptp.product_Pair_nat_nat @t348) @t346)) (and (= @t349 @t348) (= @t347 @t346))))) % 0.45/1.02 (assume @p133 (forall @t290 (_ tptp.is_sin1547905295tate_o @t289))) % 0.45/1.02 (assume @p134 (forall @t292 (_ tptp.is_sin1352690165at_nat @t291))) % 0.45/1.02 (assume @p135 (forall @t294 (_ tptp.is_sin1132515087_state @t293))) % 0.45/1.02 (assume @p136 (= tptp.bot_bo170732493tate_o (_ tptp.collec1499596504tate_o tptp.bot_bo250281208te_o_o))) % 0.45/1.02 (assume @p137 (= tptp.bot_bo2130386637at_nat (_ tptp.collec7649004at_nat tptp.bot_bo513358416_nat_o))) % 0.45/1.02 (assume @p138 (= tptp.bot_bo1625160935_state (_ tptp.collec496201222_state tptp.bot_bo446391478tate_o))) % 0.45/1.02 (assume @p139 (forall @t127 (=> @t154 (=> (forall @t355 (=> @t354 (=> @t159 @t352))) @t351)))) % 0.45/1.02 (assume @p140 (forall @t131 (=> @t155 (=> (forall @t360 (=> @t359 (=> @t163 @t357))) @t356)))) % 0.45/1.02 (assume @p141 (forall @t135 (=> @t156 (=> (forall @t365 (=> @t364 (=> @t167 @t362))) @t361)))) % 0.45/1.02 (assume @p142 (forall (@list @t368) (exists @t370 @t369))) % 0.45/1.02 (assume @p143 (forall (@list @t374) (exists @t376 @t375))) % 0.45/1.02 (assume @p144 (forall (@list @t379) (exists @t381 @t380))) % 0.45/1.02 (assume @p145 (forall (@list @t385) (exists @t387 @t386))) % 0.45/1.02 (assume @p146 (forall (@list @t136 @t368) (=> @t393 (_ @t136 @t368)))) % 0.45/1.02 (assume @p147 (forall (@list @t146 @t374) (=> @t398 (_ @t146 @t374)))) % 0.45/1.02 (assume @p148 (forall (@list @t399 @t379) (=> @t404 (_ @t399 @t379)))) % 0.45/1.02 (assume @p149 (forall (@list @t141 @t385) (=> @t409 (_ @t141 @t385)))) % 0.45/1.02 (assume @p150 (forall @t303 (=> @t302 (not (=> @t300 (not @t297)))))) % 0.45/1.02 (assume @p151 (forall @t313 (=> @t312 (not (=> @t309 (not @t306)))))) % 0.45/1.02 (assume @p152 (forall @t322 (=> @t321 (not (=> @t319 (not @t316)))))) % 0.45/1.02 (assume @p153 (forall @t332 (=> @t331 (not (=> @t328 (not @t325)))))) % 0.45/1.02 (assume @p154 (forall @t410 (not (forall @t392 (not (= @t181 @t391)))))) % 0.45/1.02 (assume @p155 (forall (@list @t185) (not (forall @t397 (not (= @t185 @t396)))))) % 0.45/1.02 (assume @p156 (forall (@list @t411) (not (forall @t403 (not (= @t411 @t402)))))) % 0.45/1.02 (assume @p157 (forall (@list @t183) (not (forall @t408 (not (= @t183 @t407)))))) % 0.45/1.02 (assume @p158 (forall (@list @t136 @t412) (=> @t393 (_ @t136 @t412)))) % 0.45/1.02 (assume @p159 (forall (@list @t146 @t413) (=> @t398 (_ @t146 @t413)))) % 0.45/1.02 (assume @p160 (forall (@list @t399 @t414) (=> @t404 (_ @t399 @t414)))) % 0.45/1.02 (assume @p161 (forall (@list @t141 @t415) (=> @t409 (_ @t141 @t415)))) % 0.45/1.02 (assume @p162 (forall @t127 (=> @t351 (not (forall @t254 (not (= @t104 (_ (_ tptp.insert2053719859tate_o @t253) tptp.bot_bo170732493tate_o)))))))) % 0.45/1.02 (assume @p163 (forall @t131 (=> @t356 (not (forall @t251 (not (= @t100 (_ (_ tptp.insert271595217at_nat @t250) tptp.bot_bo2130386637at_nat)))))))) % 0.45/1.02 (assume @p164 (forall @t135 (=> @t361 (not (forall @t248 (not (= @t96 (_ (_ tptp.insert311944171_state @t247) tptp.bot_bo1625160935_state)))))))) % 0.45/1.02 (assume @p165 (= tptp.is_sin1547905295tate_o (lambda @t417 (exists @t47 (= @t416 (_ (_ tptp.insert2053719859tate_o @t45) tptp.bot_bo170732493tate_o)))))) % 0.45/1.02 (assume @p166 (= tptp.is_sin1352690165at_nat (lambda @t419 (exists @t40 (= @t418 (_ (_ tptp.insert271595217at_nat @t38) tptp.bot_bo2130386637at_nat)))))) % 0.45/1.02 (assume @p167 (= tptp.is_sin1132515087_state (lambda @t421 (exists @t33 (= @t420 (_ (_ tptp.insert311944171_state @t31) tptp.bot_bo1625160935_state)))))) % 0.45/1.02 (assume @p168 (forall (@list @t285 @t116 @t283) (=> @t288 (=> (_ @t202 @t283) @t287)))) % 0.45/1.02 (assume @p169 (forall (@list @t279 @t112 @t277) (=> @t282 (=> (_ @t204 @t277) @t281)))) % 0.45/1.02 (assume @p170 (forall (@list @t273 @t108 @t271) (=> @t276 (=> (_ @t206 @t271) @t275)))) % 0.45/1.02 (assume @p171 (forall (@list @t257 @t422 @t255) (=> @t262 (=> (_ @t423 @t255) @t261)))) % 0.45/1.02 (assume @p172 (forall (@list @t265 @t424 @t263) (=> @t270 (=> (_ @t425 @t263) @t269)))) % 0.45/1.02 (assume @p173 (forall (@list @t285) (=> (forall (@list @t247 @t426) (=> (_ @t363 @t426) (exists (@list @t427) (and (_ (_ tptp.member1389040324_state @t427) @t426) (forall @t168 (=> (_ (_ tptp.member768948240_state (_ @t428 @t427)) @t285) (not (_ @t166 @t426)))))))) @t288))) % 0.45/1.02 (assume @p174 (forall (@list @t279) (=> (forall (@list @t250 @t429) (=> (_ @t358 @t429) (exists (@list @t430) (and (_ (_ tptp.member701585322at_nat @t430) @t429) (forall @t164 (=> (_ (_ tptp.member2027625872at_nat (_ @t431 @t430)) @t279) (not (_ @t162 @t429)))))))) @t282))) % 0.45/1.02 (assume @p175 (forall (@list @t273) (=> (forall (@list @t253 @t432) (=> (_ @t353 @t432) (exists (@list @t433) (and (_ (_ tptp.member1838112666tate_o @t433) @t432) (forall @t160 (=> (_ (_ tptp.member1629320336tate_o (_ @t434 @t433)) @t273) (not (_ @t158 @t432)))))))) @t276))) % 0.45/1.02 (assume @p176 (forall (@list @t257) (=> (forall (@list @t372 @t435) (=> (_ @t442 @t435) (exists @t441 (and (_ (_ tptp.member_state @t437) @t435) (forall @t440 (=> (_ @t439 @t257) (not (_ @t436 @t435)))))))) @t262))) % 0.45/1.02 (assume @p177 (forall (@list @t265) (=> (forall (@list @t383 @t443) (=> (_ @t450 @t443) (exists @t449 (and (_ (_ tptp.member_nat @t445) @t443) (forall @t448 (=> (_ @t447 @t265) (not (_ @t444 @t443)))))))) @t270))) % 0.45/1.02 (assume @p178 (forall (@list @t67) (=> (forall (@list @t451 @t372) (=> (forall @t441 (=> (forall @t440 (=> (_ @t439 @t67) (_ @t451 @t371))) (_ @t451 @t437))) (_ @t451 @t372))) @t71))) % 0.45/1.02 (assume @p179 (forall @t455 (=> (forall (@list @t454 @t383) (=> (forall @t449 (=> (forall @t448 (=> (_ @t447 @t452) (_ @t454 @t382))) (_ @t454 @t445))) (_ @t454 @t383))) @t453))) % 0.45/1.02 (assume @p180 (forall (@list @t67 @t308 @t422) (=> @t71 (=> (_ (_ tptp.member1389040324_state (_ @t310 @t422)) @t67) (not (_ (_ tptp.member1389040324_state (_ @t456 @t308)) @t67)))))) % 0.45/1.02 (assume @p181 (forall (@list @t452 @t327 @t424) (=> @t453 (=> (_ (_ tptp.member701585322at_nat (_ @t329 @t424)) @t452) (not (_ (_ tptp.member701585322at_nat (_ @t457 @t327)) @t452)))))) % 0.45/1.02 (assume @p182 (forall (@list @t67 @t458 @t308) (=> @t71 (=> (forall (@list @t372) (=> (forall @t260 (=> (_ (_ tptp.member1389040324_state (_ @t259 @t372)) @t67) (_ @t458 @t256))) (_ @t458 @t372))) (_ @t458 @t308))))) % 0.45/1.02 (assume @p183 (forall (@list @t452 @t459 @t327) (=> @t453 (=> (forall (@list @t383) (=> (forall @t268 (=> (_ (_ tptp.member701585322at_nat (_ @t267 @t383)) @t452) (_ @t459 @t264))) (_ @t459 @t383))) (_ @t459 @t327))))) % 0.45/1.02 (assume @p184 (forall (@list @t67 @t308) (=> @t71 (not @t460)))) % 0.45/1.02 (assume @p185 (forall (@list @t452 @t327) (=> @t453 (not @t461)))) % 0.45/1.02 (assume @p186 (= tptp.wf_state (lambda @t472 (forall (@list @t462) (=> (exists @t471 @t470) (exists @t471 (and @t470 (forall @t468 (=> @t467 (not (_ @t464 @t462))))))))))) % 0.45/1.02 (assume @p187 (= tptp.wf_nat (lambda @t483 (forall (@list @t473) (=> (exists @t482 @t481) (exists @t482 (and @t481 (forall @t479 (=> @t478 (not (_ @t475 @t473))))))))))) % 0.45/1.02 (assume @p188 (forall @t410 (not (forall @t487 (not (= @t181 @t486)))))) % 0.45/1.02 (assume @p189 (forall (@list @t136 @t108) (=> (forall @t487 (_ @t136 @t486)) (_ @t136 @t108)))) % 0.45/1.02 (assume @p190 (forall (@list @t488) (_ tptp.wf_state (_ tptp.measure_state @t488)))) % 0.45/1.02 (assume @p191 (forall (@list @t489) (_ tptp.wf_nat (_ tptp.measure_nat @t489)))) % 0.45/1.02 (assume @p192 (forall (@list @t67 @t9 @t2 @t490 @t8) (=> @t71 (=> (forall @t70 (_ (_ (_ @t10 (lambda @t66 (and @t65 @t491 (= @t62 @t63)))) @t8) @t69)) (_ (_ @t11 @t492) (lambda @t66 (and @t65 (not @t491)))))))) % 0.45/1.02 (assume @p193 (forall (@list @t496 @t494 @t495 @t493) (= (= @t497 (_ (_ tptp.while @t495) @t493)) (and (= @t496 @t495) (= @t494 @t493))))) % 0.45/1.02 (assume @p194 (forall (@list @t496 @t494) (not (= @t497 tptp.call)))) % 0.45/1.02 (assume @p195 (forall @t501 (=> @t500 (_ @t498 @t58)))) % 0.45/1.02 (assume @p196 (forall (@list @t490 @t58 @t8 @t60 @t502) (=> @t499 (=> (_ @t503 @t60) (=> (_ (_ (_ tptp.exec @t60) @t492) @t502) (_ @t498 @t502)))))) % 0.45/1.02 (assume @p197 (forall @t501 (=> @t500 @t505))) % 0.45/1.02 (assume @p198 (forall @t501 (=> @t499 (=> (_ (_ tptp.termi @t8) @t58) (=> (forall (@list @t25) (=> (_ @t503 @t25) (_ @t504 @t25))) @t505))))) % 0.45/1.02 (assume @p199 (forall (@list @t507 @t506) (= (= (lambda @t511 (_ @t510 @t507)) (lambda @t511 (_ @t510 @t506))) (= @t507 @t506)))) % 0.45/1.02 (assume @p200 (forall (@list @t257 @t512) (= (= (lambda @t515 (_ @t514 @t257)) (lambda @t515 (_ @t514 @t512))) (= @t257 @t512)))) % 0.45/1.02 (assume @p201 (forall (@list @t517 @t516) (= (= (lambda @t521 (_ @t520 @t517)) (lambda @t521 (_ @t520 @t516))) (= @t517 @t516)))) % 0.45/1.02 (assume @p202 (forall (@list @t265 @t522) (= (= (lambda @t525 (_ @t524 @t265)) (lambda @t525 (_ @t524 @t522))) (= @t265 @t522)))) % 0.45/1.02 (assume @p203 (forall @t140 (= @t151 (= @t136 tptp.bot_bo250281208te_o_o)))) % 0.45/1.02 (assume @p204 (forall @t145 (= @t152 (= @t141 tptp.bot_bo513358416_nat_o)))) % 0.45/1.02 (assume @p205 (forall @t150 (= @t153 (= @t146 tptp.bot_bo446391478tate_o)))) % 0.45/1.02 (assume @p206 (forall @t528 (_ (_ tptp.total_on_nat @t527) @t526))) % 0.45/1.02 (assume @p207 (forall @t531 (_ (_ tptp.total_on_state @t530) @t529))) % 0.45/1.02 (assume @p208 (forall @t290 (_ (_ tptp.total_795385983tate_o @t289) @t533))) % 0.45/1.02 (assume @p209 (forall @t292 (_ (_ tptp.total_1775715973at_nat @t291) @t535))) % 0.45/1.02 (assume @p210 (forall @t294 (_ (_ tptp.total_1316653983_state @t293) @t537))) % 0.45/1.02 (assume @p211 (forall @t528 (_ (_ tptp.refl_on_nat @t527) @t526))) % 0.45/1.02 (assume @p212 (forall @t531 (_ (_ tptp.refl_on_state @t530) @t529))) % 0.45/1.02 (assume @p213 (forall @t290 (_ (_ tptp.refl_o489021252tate_o @t289) @t533))) % 0.45/1.02 (assume @p214 (forall @t292 (_ (_ tptp.refl_o1619599232at_nat @t291) @t535))) % 0.45/1.02 (assume @p215 (forall @t294 (_ (_ tptp.refl_o1438232218_state @t293) @t537))) % 0.45/1.02 (assume @p216 (forall (@list @t490 @t8) (_ tptp.wf_state (_ tptp.collec496201222_state (_ tptp.produc789892016tate_o (lambda (@list @t538 @t63) (and (_ @t504 @t63) @t491 (_ (_ (_ tptp.exec @t63) @t8) @t538)))))))) % 0.45/1.02 (assume @p217 (forall @t528 (_ (_ tptp.order_130026331on_nat @t527) @t526))) % 0.45/1.02 (assume @p218 (forall @t531 (_ (_ tptp.order_286167592_state @t530) @t529))) % 0.45/1.02 (assume @p219 (forall @t290 (_ (_ tptp.order_50454158tate_o @t289) @t533))) % 0.45/1.02 (assume @p220 (forall @t292 (_ (_ tptp.order_721919926at_nat @t291) @t535))) % 0.45/1.02 (assume @p221 (forall @t294 (_ (_ tptp.order_178668240_state @t293) @t537))) % 0.45/1.02 (assume @p222 (forall (@list @t541 @t540) (= (_ tptp.produc789892016tate_o (lambda (@list @t543 @t542) (and @t541 (_ (_ @t540 @t543) @t542)))) (lambda (@list @t539) (and @t541 (_ (_ tptp.produc789892016tate_o @t540) @t539)))))) % 0.45/1.02 (assume @p223 (forall (@list @t541 @t545) (= (_ tptp.produc949581770_nat_o (lambda (@list @t547 @t546) (and @t541 (_ (_ @t545 @t547) @t546)))) (lambda (@list @t544) (and @t541 (_ (_ tptp.produc949581770_nat_o @t545) @t544)))))) % 0.45/1.02 (assume @p224 (forall @t552 (= @t551 @t549))) % 0.45/1.02 (assume @p225 (forall @t557 (= @t556 @t554))) % 0.45/1.02 (assume @p226 (forall @t561 (=> @t560 @t559))) % 0.45/1.02 (assume @p227 (forall @t565 (=> @t564 @t563))) % 0.45/1.02 (assume @p228 (forall @t552 (=> @t549 @t551))) % 0.45/1.02 (assume @p229 (forall @t557 (=> @t554 @t556))) % 0.45/1.02 (assume @p230 (forall (@list @t368 @t566) (=> (forall @t392 (=> (= @t368 @t391) (_ (_ @t566 @t389) @t388))) @t567))) % 0.45/1.02 (assume @p231 (forall (@list @t379 @t568) (=> (forall @t403 (=> (= @t379 @t402) (_ (_ @t568 @t401) @t400))) @t569))) % 0.45/1.02 (assume @p232 (forall (@list @t374 @t570) (=> (forall @t397 (=> (= @t374 @t396) (_ (_ @t570 @t395) @t394))) @t571))) % 0.45/1.02 (assume @p233 (forall (@list @t385 @t572) (=> (forall @t408 (=> @t574 (_ (_ @t572 @t406) @t405))) @t573))) % 0.45/1.02 (assume @p234 (forall (@list @t96 @t575 @t28 @t73) (=> @t577 (=> (_ (_ tptp.member768948240_state (_ @t576 @t73)) @t575) (and @t97 (_ @t188 @t96)))))) % 0.45/1.02 (assume @p235 (forall (@list @t100 @t578 @t35 @t81) (=> @t580 (=> (_ (_ tptp.member2027625872at_nat (_ @t579 @t81)) @t578) (and @t101 (_ @t193 @t100)))))) % 0.45/1.02 (assume @p236 (forall (@list @t104 @t581 @t42 @t89) (=> @t583 (=> (_ (_ tptp.member1629320336tate_o (_ @t582 @t89)) @t581) (and @t105 (_ @t198 @t104)))))) % 0.45/1.02 (assume @p237 (forall (@list @t584 @t67 @t308 @t305) (=> @t586 (=> (_ (_ tptp.member1389040324_state @t311) @t67) (and @t585 (_ (_ tptp.member_state @t305) @t584)))))) % 0.45/1.02 (assume @p238 (forall (@list @t587 @t452 @t327 @t324) (=> @t589 (=> (_ (_ tptp.member701585322at_nat @t330) @t452) (and @t588 (_ (_ tptp.member_nat @t324) @t587)))))) % 0.45/1.02 (assume @p239 (forall (@list @t592 @t548 @t413) (= (_ @t592 (_ @t550 @t413)) (_ (_ tptp.produc789892016tate_o (lambda (@list @t591 @t590) (_ @t592 (_ (_ @t548 @t591) @t590)))) @t413)))) % 0.45/1.02 (assume @p240 (forall (@list @t592 @t553 @t415) (= (_ @t592 (_ @t555 @t415)) (_ (_ tptp.produc949581770_nat_o (lambda (@list @t594 @t593) (_ @t592 (_ (_ @t553 @t594) @t593)))) @t415)))) % 0.45/1.02 (assume @p241 (forall (@list @t413) (_ (_ tptp.produc789892016tate_o (lambda (@list (@var "Uu" tptp.state) (@var "Uv" tptp.state)) true)) @t413))) % 0.45/1.02 (assume @p242 (forall (@list @t415) (_ (_ tptp.produc949581770_nat_o (lambda (@list (@var "Uu" tptp.nat) (@var "Uv" tptp.nat)) true)) @t415))) % 0.45/1.02 (assume @p243 (forall (@list @t548 @t340 @t338) (= (_ @t550 @t341) (_ (_ @t548 @t340) @t338)))) % 0.45/1.02 (assume @p244 (forall (@list @t553 @t349 @t347) (= (_ @t555 @t350) (_ (_ @t553 @t349) @t347)))) % 0.45/1.02 (assume @p245 (forall @t596 (=> @t577 (=> @t595 (_ (_ tptp.member1389040324_state @t185) @t96))))) % 0.45/1.02 (assume @p246 (forall @t598 (=> @t580 (=> @t597 (_ (_ tptp.member701585322at_nat @t183) @t100))))) % 0.45/1.02 (assume @p247 (forall @t600 (=> @t583 (=> @t599 (_ (_ tptp.member1838112666tate_o @t181) @t104))))) % 0.45/1.02 (assume @p248 (forall @t603 (=> @t586 (=> @t602 (_ (_ tptp.member_state @t601) @t584))))) % 0.45/1.02 (assume @p249 (forall @t607 (=> @t589 (=> @t606 (_ (_ tptp.member_nat @t604) @t587))))) % 0.45/1.02 (assume @p250 (forall @t596 (=> @t577 (=> @t595 @t203)))) % 0.45/1.02 (assume @p251 (forall @t598 (=> @t580 (=> @t597 @t205)))) % 0.45/1.02 (assume @p252 (forall @t600 (=> @t583 (=> @t599 @t207)))) % 0.45/1.02 (assume @p253 (forall @t603 (=> @t586 (=> @t602 (_ @t423 @t584))))) % 0.45/1.02 (assume @p254 (forall @t607 (=> @t589 (=> @t606 (_ @t425 @t587))))) % 0.45/1.02 (assume @p255 (forall (@list @t96 @t575 @t28) (=> @t577 (=> @t97 (_ (_ tptp.member768948240_state (_ @t576 @t28)) @t575))))) % 0.45/1.02 (assume @p256 (forall (@list @t100 @t578 @t35) (=> @t580 (=> @t101 (_ (_ tptp.member2027625872at_nat (_ @t579 @t35)) @t578))))) % 0.45/1.02 (assume @p257 (forall (@list @t104 @t581 @t42) (=> @t583 (=> @t105 (_ (_ tptp.member1629320336tate_o (_ @t582 @t42)) @t581))))) % 0.45/1.02 (assume @p258 (forall (@list @t584 @t67 @t308) (=> @t586 (=> @t585 @t460)))) % 0.45/1.02 (assume @p259 (forall (@list @t587 @t452 @t327) (=> @t589 (=> @t588 @t461)))) % 0.45/1.02 (assume @p260 (forall @t561 (=> @t559 @t560))) % 0.45/1.02 (assume @p261 (forall @t565 (=> @t563 @t564))) % 0.45/1.02 (assume @p262 (forall @t552 (=> @t551 @t549))) % 0.45/1.02 (assume @p263 (forall @t557 (=> @t556 @t554))) % 0.45/1.02 (assume @p264 (forall (@list @t566 @t368) (=> @t567 (not (forall @t370 (=> @t369 (not (_ (_ @t566 @t367) @t366)))))))) % 0.45/1.02 (assume @p265 (forall (@list @t568 @t379) (=> @t569 (not (forall @t381 (=> @t380 (not (_ (_ @t568 @t378) @t377)))))))) % 0.45/1.02 (assume @p266 (forall (@list @t570 @t374) (=> @t571 (not (forall @t376 (=> @t375 (not (_ (_ @t570 @t372) @t371)))))))) % 0.45/1.02 (assume @p267 (forall (@list @t572 @t385) (=> @t573 (not (forall @t387 (=> @t386 (not (_ (_ @t572 @t383) @t382)))))))) % 0.45/1.02 (assume @p268 (forall (@list @t96 @t575) (=> (forall @t365 (=> @t364 (=> @t167 (=> (not @t362) (or (_ (_ tptp.member768948240_state (_ (_ tptp.produc1964772951_state @t247) @t165)) @t575) (_ (_ tptp.member768948240_state (_ @t428 @t247)) @t575)))))) (_ (_ tptp.total_1316653983_state @t96) @t575)))) % 0.45/1.02 (assume @p269 (forall (@list @t100 @t578) (=> (forall @t360 (=> @t359 (=> @t163 (=> (not @t357) (or (_ (_ tptp.member2027625872at_nat (_ (_ tptp.produc1168807639at_nat @t250) @t161)) @t578) (_ (_ tptp.member2027625872at_nat (_ @t431 @t250)) @t578)))))) (_ (_ tptp.total_1775715973at_nat @t100) @t578)))) % 0.45/1.02 (assume @p270 (forall (@list @t104 @t581) (=> (forall @t355 (=> @t354 (=> @t159 (=> (not @t352) (or (_ (_ tptp.member1629320336tate_o (_ (_ tptp.produc1684562079tate_o @t253) @t157)) @t581) (_ (_ tptp.member1629320336tate_o (_ @t434 @t253)) @t581)))))) (_ (_ tptp.total_795385983tate_o @t104) @t581)))) % 0.45/1.02 (assume @p271 (forall (@list @t584 @t67) (=> (forall @t376 (=> (_ @t442 @t584) (=> (_ @t436 @t584) (=> (not (= @t372 @t371)) (or (_ (_ tptp.member1389040324_state @t373) @t67) (_ (_ tptp.member1389040324_state (_ @t438 @t372)) @t67)))))) (_ (_ tptp.total_on_state @t584) @t67)))) % 0.45/1.02 (assume @p272 (forall (@list @t587 @t452) (=> (forall @t387 (=> (_ @t450 @t587) (=> (_ @t444 @t587) (=> (not (= @t383 @t382)) (or (_ (_ tptp.member701585322at_nat @t384) @t452) (_ (_ tptp.member701585322at_nat (_ @t446 @t383)) @t452)))))) (_ @t608 @t452)))) % 0.45/1.02 (assume @p273 (forall @t455 (_ (_ tptp.total_on_nat tptp.bot_bot_set_nat) @t452))) % 0.45/1.02 (assume @p274 (forall (@list @t581) (_ (_ tptp.total_795385983tate_o tptp.bot_bo170732493tate_o) @t581))) % 0.45/1.02 (assume @p275 (forall (@list @t578) (_ (_ tptp.total_1775715973at_nat tptp.bot_bo2130386637at_nat) @t578))) % 0.45/1.02 (assume @p276 (forall (@list @t575) (_ (_ tptp.total_1316653983_state tptp.bot_bo1625160935_state) @t575))) % 0.45/1.02 (assume @p277 (forall (@list @t610 @t609 @t611) (=> (_ @t610 (_ (_ tptp.produc789892016tate_o @t609) @t611)) (not (forall @t376 (=> (= @t611 @t373) (not (_ @t610 (_ (_ @t609 @t372) @t371))))))))) % 0.45/1.02 (assume @p278 (forall (@list @t610 @t612 @t613) (=> (_ @t610 (_ (_ tptp.produc949581770_nat_o @t612) @t613)) (not (forall @t387 (=> (= @t613 @t384) (not (_ @t610 (_ (_ @t612 @t383) @t382))))))))) % 0.45/1.02 (assume @p279 (forall (@list @t614) (= (_ tptp.produc789892016tate_o (lambda @t515 (_ @t614 @t513))) @t614))) % 0.45/1.02 (assume @p280 (forall (@list @t615) (= (_ tptp.produc949581770_nat_o (lambda @t525 (_ @t615 @t523))) @t615))) % 0.45/1.02 (assume @p281 (forall (@list @t548 @t616) (=> (forall @t376 (= @t617 (_ @t616 @t373))) (= @t550 @t616)))) % 0.45/1.02 (assume @p282 (forall (@list @t553 @t618) (=> (forall @t387 (= @t619 (_ @t618 @t384))) (= @t555 @t618)))) % 0.45/1.02 (assume @p283 (_ (_ tptp.order_130026331on_nat tptp.bot_bot_set_nat) tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (assume @p284 (_ (_ tptp.order_286167592_state tptp.bot_bot_set_state) tptp.bot_bo1625160935_state)) % 0.45/1.02 (assume @p285 (_ (_ tptp.order_50454158tate_o tptp.bot_bo170732493tate_o) tptp.bot_bo1714653363tate_o)) % 0.45/1.02 (assume @p286 (_ (_ tptp.order_721919926at_nat tptp.bot_bo2130386637at_nat) tptp.bot_bo34127283at_nat)) % 0.45/1.02 (assume @p287 (_ (_ tptp.order_178668240_state tptp.bot_bo1625160935_state) tptp.bot_bo1331673139_state)) % 0.45/1.02 (assume @p288 (_ (_ tptp.refl_on_nat tptp.bot_bot_set_nat) tptp.bot_bo2130386637at_nat)) % 0.45/1.02 (assume @p289 (_ (_ tptp.refl_on_state tptp.bot_bot_set_state) tptp.bot_bo1625160935_state)) % 0.45/1.02 (assume @p290 (_ (_ tptp.refl_o489021252tate_o tptp.bot_bo170732493tate_o) tptp.bot_bo1714653363tate_o)) % 0.45/1.02 (assume @p291 (_ (_ tptp.refl_o1619599232at_nat tptp.bot_bo2130386637at_nat) tptp.bot_bo34127283at_nat)) % 0.45/1.02 (assume @p292 (_ (_ tptp.refl_o1438232218_state tptp.bot_bo1625160935_state) tptp.bot_bo1331673139_state)) % 0.45/1.02 (assume @p293 (forall (@list @t620 @t548 @t621 @t374) (=> (forall @t376 (=> (= @t373 @t620) (= @t617 (_ (_ @t621 @t372) @t371)))) (=> (= @t374 @t620) (= (_ @t550 @t374) (_ (_ tptp.produc789892016tate_o @t621) @t620)))))) % 0.45/1.02 (assume @p294 (forall (@list @t622 @t553 @t623 @t385) (=> (forall @t387 (=> (= @t384 @t622) (= @t619 (_ (_ @t623 @t383) @t382)))) (=> (= @t385 @t622) (= (_ @t555 @t385) (_ (_ tptp.produc949581770_nat_o @t623) @t622)))))) % 0.45/1.02 (assume @p295 (= tptp.produc938968666tate_o tptp.produc789892016tate_o)) % 0.45/1.02 (assume @p296 (= tptp.produc385877620_nat_o tptp.produc949581770_nat_o)) % 0.45/1.02 (assume @p297 (forall (@list @t385 @t611 @t624) (=> (forall @t408 (=> @t574 (_ @t625 (_ (_ @t624 @t406) @t405)))) (_ @t625 (_ (_ tptp.produc1654445_state @t624) @t385))))) % 0.45/1.02 (assume @p298 (forall (@list @t385 @t613 @t626) (=> (forall @t408 (=> @t574 (_ @t627 (_ (_ @t626 @t406) @t405)))) (_ @t627 (_ (_ tptp.produc1915186323at_nat @t626) @t385))))) % 0.45/1.02 (assume @p299 (forall (@list @t385 @t629 @t628) (=> (forall @t408 (=> @t574 (_ @t630 (_ (_ @t628 @t406) @t405)))) (_ @t630 (_ (_ tptp.produc1610543495tate_o @t628) @t385))))) % 0.45/1.02 (assume @p300 (forall (@list @t490 @t8 @t632 @t637) (=> (_ @t504 @t638) (=> @t636 @t635)))) % 0.45/1.02 (assume @p301 (forall (@list @t639 @t641 @t632 @t637 @t490 @t8) (=> (_ (_ tptp.termi @t639) @t641) (=> (and (= @t641 @t638) @t640 @t636) @t635)))) % 0.45/1.02 (assume @p302 (forall (@list @t58 @t642 @t60) (=> (_ (_ (_ @t643 tptp.body) @t642) @t60) (_ (_ (_ @t643 tptp.call) (_ tptp.suc @t642)) @t60)))) % 0.45/1.02 (assume @p303 (= tptp.pred_nat (_ tptp.collec7649004at_nat (_ tptp.produc949581770_nat_o (lambda (@list @t644 @t645) (= @t645 (_ tptp.suc @t644))))))) % 0.45/1.02 (assume @p304 (forall (@list @t58 @t490 @t8 @t642 @t60 @t458) (=> (_ @t653 @t60) (=> @t652 (=> (forall @t651 (=> @t650 (=> @t649 (=> @t648 @t647)))) @t646))))) % 0.45/1.02 (assume @p305 (forall (@list @t58 @t639 @t642 @t60 @t490 @t8 @t458) (=> (_ (_ (_ @t643 @t639) @t642) @t60) (=> (and @t640 @t652 (forall @t651 (=> (and @t650 @t649 @t648) @t647))) @t646)))) % 0.45/1.02 (assume @p306 (forall (@list @t490 @t58 @t8 @t642 @t60 @t502) (=> @t499 (=> (_ (_ (_ @t643 @t8) @t642) @t60) (=> (_ (_ (_ (_ tptp.execn @t60) @t492) @t642) @t502) (_ @t653 @t502)))))) % 0.45/1.02 (assume @p307 (forall (@list @t490 @t58 @t8 @t642) (=> @t500 (_ @t653 @t58)))) % 0.45/1.02 (assume @p308 (_ tptp.wf_nat tptp.pred_nat)) % 0.45/1.02 (assume @p309 (forall (@list @t656 @t654 @t655) (=> (_ (_ tptp.termi @t656) @t654) (=> (forall (@list @t658) (=> (_ @t660 @t658) (_ (_ tptp.termi @t655) @t658))) (_ (_ tptp.termi @t657) @t654))))) % 0.45/1.02 (assume @p310 (forall (@list @t664 @t662 @t663 @t661) (= (= @t665 (_ (_ tptp.semi @t663) @t661)) (and (= @t664 @t663) (= @t662 @t661))))) % 0.45/1.02 (assume @p311 (forall (@list @t654 @t656 @t642 @t668 @t655 @t666) (=> (_ (_ (_ @t667 @t656) @t642) @t668) (=> (_ (_ (_ (_ tptp.execn @t668) @t655) @t642) @t666) (_ (_ (_ @t667 @t657) @t642) @t666))))) % 0.45/1.02 (assume @p312 (forall (@list @t664 @t662 @t496 @t494) (not (= @t665 @t497)))) % 0.45/1.02 (assume @p313 (forall (@list @t664 @t662) (not (= @t665 tptp.call)))) % 0.45/1.02 (assume @p314 (forall (@list @t654 @t656 @t668 @t655 @t666) (=> (_ @t660 @t668) (=> (_ (_ (_ tptp.exec @t668) @t655) @t666) (_ (_ @t659 @t657) @t666))))) % 0.45/1.02 (assume @p315 (_ tptp.wf_nat tptp.less_than)) % 0.45/1.02 (assume @p316 (forall (@list @t587) (_ @t608 tptp.less_than))) % 0.45/1.02 (assume @p317 (_ tptp.irrefl_nat tptp.less_than)) % 0.45/1.02 (assume @p318 (_ tptp.trans_nat tptp.less_than)) % 0.45/1.02 (assume @p319 (forall (@list @t424 @t604) (= (_ @t605 tptp.less_than) (_ (_ tptp.ord_less_nat @t424) @t604)))) % 0.45/1.02 (assume @p320 @t706) % 0.45/1.02 (assume @p321 @t719) % 0.45/1.02 (assume @p322 @t730) % 0.45/1.02 (assume @p323 true) % 0.45/1.02 (step @p324 (= tptp.insert311944171_state @t733) :rule refl :args (@t733)) % 0.45/1.02 (step @p325 (= tptp.insert271595217at_nat @t736) :rule refl :args (@t736)) % 0.45/1.02 (step @p326 (= tptp.insert2053719859tate_o @t740) :rule refl :args (@t740)) % 0.45/1.02 (step @p327 (= tptp.is_sin1547905295tate_o @t741) :rule refl :args (@t741)) % 0.45/1.02 (step @p328 (= tptp.is_sin1352690165at_nat @t742) :rule refl :args (@t742)) % 0.45/1.02 (step @p329 (= tptp.is_sin1132515087_state @t743) :rule refl :args (@t743)) % 0.45/1.02 (step @p330 (= tptp.wf_state @t746) :rule refl :args (@t746)) % 0.45/1.02 (step @p331 (= tptp.wf_nat @t749) :rule refl :args (@t749)) % 0.45/1.02 (step @p332 (= tptp.wf_Pro1783588484_state @t754) :rule refl :args (@t754)) % 0.45/1.02 (step @p333 (= tptp.wf_Pro745352042at_nat @t759) :rule refl :args (@t759)) % 0.45/1.02 (step @p334 (= tptp.wf_Pro309705690tate_o @t764) :rule refl :args (@t764)) % 0.45/1.02 (step @p335 (= tptp.bot_bo935656620te_o_o @t765) :rule refl :args (@t765)) % 0.45/1.02 (step @p336 (= tptp.bot_bo2130564770te_o_o @t766) :rule refl :args (@t766)) % 0.45/1.02 (step @p337 (= tptp.bot_bot_nat_nat_o @t767) :rule refl :args (@t767)) % 0.45/1.02 (step @p338 (= tptp.bot_bo51534648tate_o @t768) :rule refl :args (@t768)) % 0.45/1.02 (step @p339 (= tptp.is_emp807847857tate_o @t769) :rule refl :args (@t769)) % 0.45/1.02 (step @p340 (= tptp.is_emp825011411at_nat @t770) :rule refl :args (@t770)) % 0.45/1.02 (step @p341 (= tptp.is_emp1062983149_state @t771) :rule refl :args (@t771)) % 0.45/1.02 (step @p342 (= tptp.bot_bo250281208te_o_o @t773) :rule refl :args (@t773)) % 0.45/1.02 (step @p343 (= tptp.bot_bo513358416_nat_o @t774) :rule refl :args (@t774)) % 0.45/1.02 (step @p344 (= tptp.bot_bo446391478tate_o @t775) :rule refl :args (@t775)) % 0.45/1.02 (step @p345 (= tptp.total_on_state @t777) :rule refl :args (@t777)) % 0.45/1.02 (step @p346 (= tptp.total_on_nat @t779) :rule refl :args (@t779)) % 0.45/1.02 (step @p347 (= tptp.order_2027321734_state @t781) :rule refl :args (@t781)) % 0.45/1.02 (step @p348 (= tptp.order_665764460at_nat @t783) :rule refl :args (@t783)) % 0.45/1.02 (step @p349 (= tptp.order_1121016664tate_o @t785) :rule refl :args (@t785)) % 0.45/1.02 (step @p350 (= tptp.order_aboveS_state @t786) :rule refl :args (@t786)) % 0.45/1.02 (step @p351 (= tptp.order_aboveS_nat @t787) :rule refl :args (@t787)) % 0.45/1.02 (step @p352 (= tptp.exec @t793) :rule refl :args (@t793)) % 0.45/1.02 (step @p353 :rule bool-double-not-elim :args (@t805)) % 0.45/1.02 (step @p354 :rule refl :args (@t813)) % 0.45/1.02 (step @p355 :rule nary_cong :premises (@p354 @p353) :args ((or @t813 (not @t812)))) % 0.45/1.02 (step @p356 :rule cnf_or_neg :args (@t813 0)) % 0.45/1.02 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.45/1.02 (step @p358 :rule reordering :premises (@p357) :args ((or @t805 @t813))) % 0.45/1.02 (step @p359 :rule bool-double-not-elim :args (@t810)) % 0.45/1.02 (step @p360 :rule nary_cong :premises (@p354 @p359) :args ((or @t813 (not @t811)))) % 0.45/1.02 (step @p361 :rule cnf_or_neg :args (@t813 1)) % 0.45/1.02 (step @p362 :rule eq_resolve :premises (@p361 @p360)) % 0.45/1.02 (step @p363 :rule reordering :premises (@p362) :args ((or @t810 @t813))) % 0.45/1.02 (step @p364 :rule bool-double-not-elim :args (@t808)) % 0.45/1.02 (step @p365 :rule nary_cong :premises (@p354 @p364) :args ((or @t813 (not @t809)))) % 0.45/1.02 (step @p366 :rule cnf_or_neg :args (@t813 2)) % 0.45/1.02 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.45/1.02 (step @p368 :rule reordering :premises (@p367) :args ((or @t808 @t813))) % 0.45/1.02 (step @p369 :rule cnf_or_neg :args (@t813 3)) % 0.45/1.02 (step @p370 :rule quant-merge-prenex :args ((= (forall @t260 @t828) (forall (@list @t256 @t818 @t820 @t819 @t814) @t826)))) % 0.45/1.02 (step @p371 :rule alpha_equiv :args (@t830 (@list @t814) @t831)) % 0.45/1.02 (step @p372 :rule refl :args (@t816)) % 0.45/1.02 (step @p373 :rule nary_cong :premises (@p372 @p371) :args (@t832)) % 0.45/1.02 (step @p374 :rule quant-miniscope-or :args ((= @t833 @t832))) % 0.45/1.02 (step @p375 :rule quant-unused-vars :args ((= @t834 @t833))) % 0.45/1.02 (step @p376 :rule trans :premises (@p375 @p374)) % 0.45/1.02 (step @p377 :rule trans :premises (@p376 @p373)) % 0.45/1.02 (step @p378 :rule alpha_equiv :args (@t835 (@list @t818 @t820 @t819) (@list @t678 @t837 @t836))) % 0.45/1.02 (step @p379 :rule quant-unused-vars :args ((= @t838 @t835))) % 0.45/1.02 (step @p380 :rule trans :premises (@p379 @p378)) % 0.45/1.02 (step @p381 :rule nary_cong :premises (@p380 @p377) :args (@t839)) % 0.45/1.02 (step @p382 :rule quant-miniscope-and :args ((= @t840 @t839))) % 0.45/1.02 (step @p383 :rule trans :premises (@p382 @p381)) % 0.45/1.02 (step @p384 :rule refl :args (@t825)) % 0.45/1.02 (step @p385 :rule nary_cong :premises (@p384 @p383) :args (@t841)) % 0.45/1.02 (step @p386 :rule quant-miniscope-or :args ((= @t828 @t841))) % 0.45/1.02 (step @p387 :rule trans :premises (@p386 @p385)) % 0.45/1.02 (step @p388 :rule symm :premises (@p387)) % 0.45/1.02 (step @p389 :rule cong :premises (@p388) :args ((forall @t260 (or @t825 @t849)))) % 0.45/1.02 (step @p390 :rule trans :premises (@p389 @p370)) % 0.45/1.02 (step @p391 :rule refl :args (@t849)) % 0.45/1.02 (step @p392 :rule refl :args ((tptp.member1389040324_state @t716 tptp.r))) % 0.45/1.02 (step @p393 :rule refl :args (tptp.r)) % 0.45/1.02 (step @p394 :rule refl :args (@t823)) % 0.45/1.02 (step @p395 :rule cong :premises (@p394 @p393) :args (@t824)) % 0.45/1.02 (step @p396 :rule trans :premises (@p395 @p392)) % 0.45/1.02 (step @p397 :rule refl :args (tptp.member1389040324_state)) % 0.45/1.02 (step @p398 :rule ho_cong :premises (@p397 @p394)) % 0.45/1.02 (step @p399 :rule ho_cong :premises (@p398 @p393)) % 0.45/1.02 (step @p400 :rule cong :premises (@p399 @p396) :args ((= (_ (_ tptp.member1389040324_state @t823) tptp.r) @t824))) % 0.45/1.02 (step @p401 :rule symm :premises (@p400)) % 0.45/1.02 (step @p402 :rule refl :args (@t717)) % 0.45/1.02 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 0.45/1.02 (step @p404 :rule refl :args (@t716)) % 0.45/1.02 (step @p405 :rule cong :premises (@p404 @p394) :args ((= @t716 @t823))) % 0.45/1.02 (step @p406 :rule symm :premises (@p405)) % 0.45/1.02 (step @p407 :rule eq_resolve :premises (@p404 @p406)) % 0.45/1.02 (step @p408 :rule ho_cong :premises (@p397 @p407)) % 0.45/1.02 (step @p409 :rule ho_cong :premises (@p408 @p393)) % 0.45/1.02 (step @p410 :rule trans :premises (@p409 @p403)) % 0.45/1.02 (step @p411 :rule cong :premises (@p410) :args (@t850)) % 0.45/1.02 (step @p412 :rule nary_cong :premises (@p411 @p391) :args (@t851)) % 0.45/1.02 (step @p413 :rule cong :premises (@p412) :args ((forall @t260 @t851))) % 0.45/1.02 (step @p414 :rule trans :premises (@p413 @p390)) % 0.45/1.02 (step @p415 :rule bool-impl-elim :args (@t717 @t849)) % 0.45/1.02 (step @p416 :rule cong :premises (@p415) :args ((forall @t260 (=> @t717 @t849)))) % 0.45/1.02 (step @p417 :rule trans :premises (@p416 @p414)) % 0.45/1.02 (step @p418 :rule quant-miniscope-or :args ((= (forall @t21 @t852) @t843))) % 0.45/1.02 (step @p419 :rule aci_norm :args ((= @t853 @t852))) % 0.45/1.02 (step @p420 :rule cong :premises (@p419) :args ((forall @t21 @t853))) % 0.45/1.02 (step @p421 :rule trans :premises (@p420 @p418)) % 0.45/1.02 (step @p422 :rule aci_norm :args ((= (or @t842 false @t816) @t853))) % 0.45/1.02 (step @p423 :rule refl :args (@t816)) % 0.45/1.02 (step @p424 :rule evaluate :args ((not true))) % 0.45/1.02 (step @p425 :rule eq-refl :args (@t256)) % 0.45/1.02 (step @p426 :rule cong :premises (@p425) :args (@t854)) % 0.45/1.02 (step @p427 :rule trans :premises (@p426 @p424)) % 0.45/1.02 (step @p428 :rule refl :args (@t842)) % 0.45/1.02 (step @p429 :rule nary_cong :premises (@p428 @p427 @p423) :args (@t855)) % 0.45/1.02 (step @p430 :rule trans :premises (@p429 @p422)) % 0.45/1.02 (step @p431 :rule cong :premises (@p430) :args ((forall @t21 @t855))) % 0.45/1.02 (step @p432 :rule trans :premises (@p431 @p421)) % 0.45/1.02 (step @p433 :rule quant-var-elim-eq :args ((= (forall @t862 (or @t861 @t860 @t858 @t856)) @t855))) % 0.45/1.02 (step @p434 :rule refl :args (@t856)) % 0.45/1.02 (step @p435 :rule refl :args (@t858)) % 0.45/1.02 (step @p436 :rule refl :args (@t860)) % 0.45/1.02 (step @p437 :rule eq-symm :args (@t256 @t669)) % 0.45/1.02 (step @p438 :rule cong :premises (@p437) :args (@t858)) % 0.45/1.02 (step @p439 :rule nary_cong :premises (@p438 @p436 @p435 @p434) :args (@t863)) % 0.45/1.02 (step @p440 :rule aci_norm :args ((= @t864 @t863))) % 0.45/1.02 (step @p441 :rule trans :premises (@p440 @p439)) % 0.45/1.02 (step @p442 :rule cong :premises (@p441) :args (@t865)) % 0.45/1.02 (step @p443 :rule trans :premises (@p442 @p433)) % 0.45/1.02 (step @p444 :rule cong :premises (@p443) :args (@t866)) % 0.45/1.02 (step @p445 :rule quant-merge-prenex :args ((= @t866 (forall @t676 @t864)))) % 0.45/1.02 (step @p446 :rule symm :premises (@p445)) % 0.45/1.02 (step @p447 :rule trans :premises (@p446 @p444)) % 0.45/1.02 (step @p448 :rule trans :premises (@p447 @p432)) % 0.45/1.02 (step @p449 :rule refl :args (@t856)) % 0.45/1.02 (step @p450 :rule refl :args (@t670)) % 0.45/1.02 (step @p451 :rule cong :premises (@p450 @p449) :args ((= @t670 @t856))) % 0.45/1.02 (step @p452 :rule symm :premises (@p451)) % 0.45/1.02 (step @p453 :rule eq_resolve :premises (@p450 @p452)) % 0.45/1.02 (step @p454 :rule refl :args (@t859)) % 0.45/1.02 (step @p455 :rule refl :args (@t673)) % 0.45/1.02 (step @p456 :rule cong :premises (@p455 @p454) :args ((= @t673 @t859))) % 0.45/1.02 (step @p457 :rule symm :premises (@p456)) % 0.45/1.02 (step @p458 :rule eq_resolve :premises (@p455 @p457)) % 0.45/1.02 (step @p459 :rule cong :premises (@p458) :args (@t867)) % 0.45/1.02 (step @p460 :rule nary_cong :premises (@p459 @p435 @p453) :args (@t868)) % 0.45/1.02 (step @p461 :rule cong :premises (@p460) :args ((forall @t676 @t868))) % 0.45/1.02 (step @p462 :rule trans :premises (@p461 @p448)) % 0.45/1.02 (step @p463 :rule aci_norm :args ((= (or @t869 @t670) @t868))) % 0.45/1.02 (step @p464 :rule bool-and-de-morgan :args (@t673 @t857 true)) % 0.45/1.02 (step @p465 :rule nary_cong :premises (@p464 @p450) :args ((or @t871 @t670))) % 0.45/1.02 (step @p466 :rule trans :premises (@p465 @p463)) % 0.45/1.02 (step @p467 :rule bool-impl-elim :args (@t870 @t670)) % 0.45/1.02 (step @p468 :rule trans :premises (@p467 @p466)) % 0.45/1.02 (step @p469 :rule cong :premises (@p468) :args ((forall @t676 (=> @t870 @t670)))) % 0.45/1.02 (step @p470 :rule trans :premises (@p469 @p462)) % 0.45/1.02 (step @p471 :rule refl :args (@t670)) % 0.45/1.02 (step @p472 :rule eq-symm :args (@t669 @t256)) % 0.45/1.02 (step @p473 :rule refl :args (@t673)) % 0.45/1.02 (step @p474 :rule nary_cong :premises (@p473 @p472) :args (@t708)) % 0.45/1.02 (step @p475 :rule cong :premises (@p474 @p471) :args (@t709)) % 0.45/1.02 (step @p476 :rule cong :premises (@p475) :args (@t710)) % 0.45/1.02 (step @p477 :rule trans :premises (@p476 @p470)) % 0.45/1.02 (step @p478 :rule aci_norm :args ((= (or @t846 false @t845 @t844) @t847))) % 0.45/1.02 (step @p479 :rule refl :args (@t844)) % 0.45/1.02 (step @p480 :rule refl :args (@t845)) % 0.45/1.02 (step @p481 :rule refl :args (@t846)) % 0.45/1.02 (step @p482 :rule nary_cong :premises (@p481 @p427 @p480 @p479) :args (@t872)) % 0.45/1.02 (step @p483 :rule trans :premises (@p482 @p478)) % 0.45/1.02 (step @p484 :rule cong :premises (@p483) :args ((forall @t848 @t872))) % 0.45/1.02 (step @p485 :rule quant-var-elim-eq :args ((= (forall @t862 (or @t861 @t874 @t858 @t873 @t844)) @t872))) % 0.45/1.02 (step @p486 :rule refl :args (@t844)) % 0.45/1.02 (step @p487 :rule refl :args (@t873)) % 0.45/1.02 (step @p488 :rule refl :args (@t874)) % 0.45/1.02 (step @p489 :rule nary_cong :premises (@p438 @p488 @p435 @p487 @p486) :args (@t875)) % 0.45/1.02 (step @p490 :rule aci_norm :args ((= @t876 @t875))) % 0.45/1.02 (step @p491 :rule trans :premises (@p490 @p489)) % 0.45/1.02 (step @p492 :rule cong :premises (@p491) :args (@t877)) % 0.45/1.02 (step @p493 :rule trans :premises (@p492 @p485)) % 0.45/1.02 (step @p494 :rule cong :premises (@p493) :args (@t878)) % 0.45/1.02 (step @p495 :rule quant-merge-prenex :args ((= @t878 @t879))) % 0.45/1.02 (step @p496 :rule symm :premises (@p495)) % 0.45/1.02 (step @p497 :rule quant_var_reordering :args ((= (forall @t880 @t876) @t879))) % 0.45/1.02 (step @p498 :rule trans :premises (@p497 @p496 @p494)) % 0.45/1.02 (step @p499 :rule trans :premises (@p498 @p484)) % 0.45/1.02 (step @p500 :rule aci_norm :args ((= @t882 @t876))) % 0.45/1.02 (step @p501 :rule cong :premises (@p500) :args (@t883)) % 0.45/1.02 (step @p502 :rule trans :premises (@p501 @p499)) % 0.45/1.02 (step @p503 :rule quant-merge-prenex :args ((= (forall @t684 @t884) @t883))) % 0.45/1.02 (step @p504 :rule alpha_equiv :args (@t885 (@list @t836) @t831)) % 0.45/1.02 (step @p505 :rule alpha_equiv :args (@t886 (@list @t837) @t887)) % 0.45/1.02 (step @p506 :rule nary_cong :premises (@p505 @p435 @p504) :args (@t888)) % 0.45/1.02 (step @p507 :rule quant-miniscope-or :args ((= @t884 @t888))) % 0.45/1.02 (step @p508 :rule trans 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process_scope :premises (@p1215) :args (@t1173)) % 0.45/1.02 (step @p1193 :rule eq_resolve :premises (@p1191 @p1188)) % 0.45/1.02 (step @p1194 :rule implies_elim :premises (@p1193)) % 0.45/1.02 (step @p1195 :rule eq_resolve :premises (@p1194 @p1185)) % 0.45/1.02 (step @p1196 :rule chain_m_resolution :premises (@p1195 @p1182) :args (@t1171 @t1169 (@list @t1123))) % 0.45/1.02 (step @p1197 :rule cnf_or_neg :args (@t1133 0)) % 0.45/1.02 (step @p1198 :rule chain_m_resolution :premises (@p1197 @p1180) :args ((not @t1127) @t1169 @t1170)) % 0.45/1.02 (step @p1199 :rule cnf_or_pos :args (@t1174)) % 0.45/1.02 (step @p1200 :rule reordering :premises (@p1199) :args ((or @t1127 @t1172 @t1175))) % 0.45/1.02 (step @p1201 :rule chain_m_resolution :premises (@p1200 @p1198 @p1196) :args (@t1175 (@list true false) (@list @t1127 @t1171))) % 0.45/1.02 (step @p1202 :rule cnf_and_pos :args (@t1176 1)) % 0.45/1.02 (step @p1203 :rule reordering :premises (@p1202) :args ((or @t1174 @t1177))) % 0.45/1.02 (step @p1204 :rule chain_m_resolution :premises (@p1203 @p1201) :args (@t1177 @t1169 (@list @t1174))) % 0.45/1.02 (step @p1205 :rule cnf_or_pos :args (@t1178)) % 0.45/1.02 (step @p1206 :rule reordering :premises (@p1205) :args ((or @t929 @t948 @t1176 (not @t1178)))) % 0.45/1.02 (step @p1207 false :rule chain_m_resolution :premises (@p1206 @p1204 @p1057 @p636 @p606) :args (false (@list true false false false) (@list @t1176 @t1178 @t934 @t801))) % 0.45/1.02 ) % 0.45/1.02 % SZS output end Proof % 0.45/1.02 % cvc5 exiting %------------------------------------------------------------------------------