%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM635^4 : TPTP v9.2.1. Released v7.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:40:06 AM UTC 2026 % Result : Theorem 2.42s 2.62s % Output : Proof 2.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM635^4 : TPTP v9.2.1. Released v7.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n013.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 11:39:00 EDT 2026 % 0.20/0.35 % CPUTime : % 0.39/0.56 %----Proving TH0 % 2.42/2.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.42/2.62 % SZS status Theorem % 2.42/2.62 % SZS output start Proof % 2.42/2.62 ( % 2.42/2.62 (declare-sort $$unsorted 0) % 2.42/2.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.42/2.62 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 2.42/2.62 (declare-const tptp.power (-> $$unsorted $$unsorted)) % 2.42/2.62 (declare-const tptp.repl (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)) % 2.42/2.62 (declare-const tptp.eps (-> (-> $$unsorted Bool) $$unsorted)) % 2.42/2.62 (declare-const tptp.emptyset $$unsorted) % 2.42/2.62 (declare-const tptp.d_Inj1 (-> $$unsorted $$unsorted)) % 2.42/2.62 (declare-const tptp.d_Unj (-> $$unsorted $$unsorted)) % 2.42/2.62 (declare-const tptp.n_is (-> $$unsorted $$unsorted Bool)) % 2.42/2.62 (declare-const tptp.n_in (-> $$unsorted $$unsorted Bool)) % 2.42/2.62 (declare-const tptp.n_all (-> (-> $$unsorted Bool) Bool)) % 2.42/2.62 (declare-const tptp.i1_s (-> (-> $$unsorted Bool) $$unsorted)) % 2.42/2.62 (declare-const tptp.cond1 (-> $$unsorted Bool)) % 2.42/2.62 (declare-const tptp.n_one (-> (-> $$unsorted Bool) Bool)) % 2.42/2.62 (declare-const tptp.n_some (-> (-> $$unsorted Bool) Bool)) % 2.42/2.62 (declare-const tptp.nat $$unsorted) % 2.42/2.62 (declare-const tptp.univof (-> $$unsorted $$unsorted)) % 2.42/2.62 (declare-const tptp.omega $$unsorted) % 2.42/2.62 (declare-const tptp.obvious Bool) % 2.42/2.62 (declare-const tptp.n_1 $$unsorted) % 2.42/2.62 (define tptp.is_of () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (lambda (@list _let_1 _let_2) (_ _let_2 _let_1))))) % 2.42/2.62 (define tptp.all_of () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X0" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (forall (@list _let_1) (=> (_ (_ tptp.is_of _let_1) _let_3) (_ _let_2 _let_1)))))))) % 2.42/2.62 (define tptp.d_Subq () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (_ tptp.in _let_2))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1))))))))) % 2.42/2.62 (define tptp.d_Union_closed () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.in (_ tptp.union _let_2)) _let_1))))))) % 2.42/2.62 (define tptp.d_Power_closed () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.in (_ tptp.power _let_2)) _let_1))))))) % 2.42/2.62 (define tptp.d_Repl_closed () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X2" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "X1" $$unsorted))) (let ((_let_4 (@var "X3" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_1) (forall (@list _let_2) (=> (forall (@list _let_4) (=> (_ (_ tptp.in _let_4) _let_3) (_ (_ tptp.in (_ _let_2 _let_4)) _let_1))) (_ (_ tptp.in (_ (_ tptp.repl _let_3) _let_2)) _let_1))))))))))) % 2.42/2.62 (define tptp.d_ZF_closed () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (and (_ tptp.d_Union_closed _let_1) (_ tptp.d_Power_closed _let_1) (_ tptp.d_Repl_closed _let_1))))) % 2.42/2.62 (define tptp.if () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" Bool))) (let ((_let_4 (@var "X1" $$unsorted))) (lambda (@list _let_3 _let_4 _let_1) (_ tptp.eps (lambda (@list _let_2) (or (and _let_3 (= _let_2 _let_4)) (and (not _let_3) (= _let_2 _let_1))))))))))) % 2.42/2.62 (define tptp.nIn () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (not (_ (_ tptp.in _let_2) _let_1)))))) % 2.42/2.62 (define tptp.d_UPair () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.repl (_ tptp.power (_ tptp.power tptp.emptyset))) (lambda (@list _let_3) (_ (_ (_ tptp.if (_ (_ tptp.in tptp.emptyset) _let_3)) _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.d_Sing () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.d_UPair _let_1) _let_1)))) % 2.42/2.62 (define tptp.binunion () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.union (_ (_ tptp.d_UPair _let_2) _let_1)))))) % 2.42/2.62 (define tptp.famunion () (let ((_let_1 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.union (_ (_ tptp.repl _let_2) _let_1)))))) % 2.42/2.62 (define tptp.d_Sep () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (let ((_let_5 (_ _let_2 _let_4))) (let ((_let_6 (@list _let_4))) (lambda (@list _let_3 _let_2) (_ (_ (_ tptp.if (exists _let_6 (and (_ (_ tptp.in _let_4) _let_3) _let_5))) (_ (_ tptp.repl _let_3) (lambda _let_6 (_ (_ (_ tptp.if _let_5) _let_4) (_ tptp.eps (lambda (@list _let_1) (and (_ (_ tptp.in _let_1) _let_3) (_ _let_2 _let_1)))))))) tptp.emptyset))))))))) % 2.42/2.62 (define tptp.d_ReplSep () (let ((_let_1 (@var "__flatten_var_0" (-> $$unsorted $$unsorted)))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.repl (_ (_ tptp.d_Sep _let_3) _let_2)) _let_1)))))) % 2.42/2.62 (define tptp.setminus () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.d_Sep _let_3) (lambda (@list _let_2) (_ (_ tptp.nIn _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.d_In_rec_G () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X3" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X5" (-> $$unsorted $$unsorted)))) (let ((_let_5 (@var "X4" $$unsorted))) (let ((_let_6 (@var "X0" (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)))) (let ((_let_7 (@var "X6" $$unsorted))) (lambda (@list _let_6 _let_2 _let_1) (forall (@list _let_3) (=> (forall (@list _let_5 _let_4) (=> (forall (@list _let_7) (=> (_ (_ tptp.in _let_7) _let_5) (_ (_ _let_3 _let_7) (_ _let_4 _let_7)))) (_ (_ _let_3 _let_5) (_ (_ _let_6 _let_5) _let_4)))) (_ (_ _let_3 _let_2) _let_1)))))))))))) % 2.42/2.62 (define tptp.d_In_rec () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted)))) (lambda (@list _let_2 _let_1) (_ tptp.eps (_ (_ tptp.d_In_rec_G _let_2) _let_1)))))) % 2.42/2.62 (define tptp.ordsucc () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.binunion _let_1) (_ tptp.d_Sing _let_1))))) % 2.42/2.62 (define tptp.nat_p () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X2" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ _let_2 tptp.emptyset) (=> (forall (@list _let_3) (=> (_ _let_2 _let_3) (_ _let_2 (_ tptp.ordsucc _let_3)))) (_ _let_2 _let_1))))))))) % 2.42/2.62 (define tptp.d_Inj0 () (let ((_let_1 (@var "X0" $$unsorted))) (lambda (@list _let_1) (_ (_ tptp.repl _let_1) tptp.d_Inj1)))) % 2.42/2.62 (define tptp.pair () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.binunion (_ (_ tptp.repl _let_2) tptp.d_Inj0)) (_ (_ tptp.repl _let_1) tptp.d_Inj1)))))) % 2.42/2.62 (define tptp.proj0 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3) (_ (_ (_ tptp.d_ReplSep _let_3) (lambda (@list _let_1) (exists (@list _let_2) (= (_ tptp.d_Inj0 _let_2) _let_1)))) tptp.d_Unj)))))) % 2.42/2.62 (define tptp.proj1 () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3) (_ (_ (_ tptp.d_ReplSep _let_3) (lambda (@list _let_1) (exists (@list _let_2) (= (_ tptp.d_Inj1 _let_2) _let_1)))) tptp.d_Unj)))))) % 2.42/2.62 (define tptp.d_Sigma () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2) (_ (_ tptp.famunion _let_3) (lambda (@list _let_1) (_ (_ tptp.repl (_ _let_2 _let_1)) (_ tptp.pair _let_1))))))))) % 2.42/2.62 (define tptp.setprod () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.d_Sigma _let_2) (lambda (@list (@var "X2" $$unsorted)) _let_1)))))) % 2.42/2.62 (define tptp.ap () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_2) (_ (_ (_ tptp.d_ReplSep _let_4) (lambda (@list _let_3) (exists (@list _let_1) (= _let_3 (_ (_ tptp.pair _let_2) _let_1))))) tptp.proj1))))))) % 2.42/2.62 (define tptp.pair_p () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (_ tptp.ap _let_1))) (lambda (@list _let_1) (= (_ (_ tptp.pair (_ _let_2 tptp.emptyset)) (_ _let_2 (_ tptp.ordsucc tptp.emptyset))) _let_1))))) % 2.42/2.62 (define tptp.d_Pi () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted)))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@list _let_3))) (lambda (@list _let_4 _let_2) (_ (_ tptp.d_Sep (_ tptp.power (_ (_ tptp.d_Sigma _let_4) (lambda _let_5 (_ tptp.union (_ _let_2 _let_3)))))) (lambda _let_5 (forall (@list _let_1) (=> (_ (_ tptp.in _let_1) _let_4) (_ (_ tptp.in (_ (_ tptp.ap _let_3) _let_1)) (_ _let_2 _let_1))))))))))))) % 2.42/2.62 (define tptp.imp () (let ((_let_1 (@var "X1" Bool))) (let ((_let_2 (@var "X0" Bool))) (lambda (@list _let_2 _let_1) (=> _let_2 _let_1))))) % 2.42/2.62 (define tptp.d_not () (let ((_let_1 (@var "X0" Bool))) (lambda (@list _let_1) (_ (_ tptp.imp _let_1) false)))) % 2.42/2.62 (define tptp.wel () (let ((_let_1 (@var "X0" Bool))) (lambda (@list _let_1) (_ tptp.d_not (_ tptp.d_not _let_1))))) % 2.42/2.62 (define tptp.l_ec () (let ((_let_1 (@var "X1" Bool))) (let ((_let_2 (@var "X0" Bool))) (lambda (@list _let_2 _let_1) (_ (_ tptp.imp _let_2) (_ tptp.d_not _let_1)))))) % 2.42/2.62 (define tptp.d_and () (let ((_let_1 (@var "X1" Bool))) (let ((_let_2 (@var "X0" Bool))) (lambda (@list _let_2 _let_1) (_ tptp.d_not (_ (_ tptp.l_ec _let_2) _let_1)))))) % 2.42/2.62 (define tptp.l_or () (let ((_let_1 (@var "__flatten_var_0" Bool))) (let ((_let_2 (@var "X0" Bool))) (lambda (@list _let_2 _let_1) (_ (_ tptp.imp (_ tptp.d_not _let_2)) _let_1))))) % 2.42/2.62 (define tptp.orec () (let ((_let_1 (@var "X1" Bool))) (let ((_let_2 (@var "X0" Bool))) (lambda (@list _let_2 _let_1) (_ (_ tptp.d_and (_ (_ tptp.l_or _let_2) _let_1)) (_ (_ tptp.l_ec _let_2) _let_1)))))) % 2.42/2.62 (define tptp.l_iff () (let ((_let_1 (@var "X0" Bool))) (let ((_let_2 (@var "X1" Bool))) (lambda (@list _let_1 _let_2) (_ (_ tptp.d_and (_ (_ tptp.imp _let_1) _let_2)) (_ (_ tptp.imp _let_2) _let_1)))))) % 2.42/2.62 (define tptp.all () (let ((_let_1 (@var "__flatten_var_0" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X0" $$unsorted))) (let ((_let_3 (@var "X1" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.all_of (lambda (@list _let_3) (_ (_ tptp.in _let_3) _let_2))) _let_1)))))) % 2.42/2.62 (define tptp.non () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (lambda (@list (@var "X0" $$unsorted) _let_2 _let_1) (_ tptp.d_not (_ _let_2 _let_1)))))) % 2.42/2.62 (define tptp.l_some () (let ((_let_1 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X0" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.d_not (_ (_ tptp.all_of (lambda (@list _let_3) (_ (_ tptp.in _let_3) _let_2))) (_ (_ tptp.non _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.or3 () (let ((_let_1 (@var "X2" Bool))) (let ((_let_2 (@var "X1" Bool))) (let ((_let_3 (@var "X0" Bool))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.l_or _let_3) (_ (_ tptp.l_or _let_2) _let_1))))))) % 2.42/2.62 (define tptp.and3 () (let ((_let_1 (@var "X2" Bool))) (let ((_let_2 (@var "X1" Bool))) (let ((_let_3 (@var "X0" Bool))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.d_and _let_3) (_ (_ tptp.d_and _let_2) _let_1))))))) % 2.42/2.62 (define tptp.ec3 () (let ((_let_1 (@var "X0" Bool))) (let ((_let_2 (@var "X2" Bool))) (let ((_let_3 (@var "X1" Bool))) (lambda (@list _let_1 _let_3 _let_2) (_ (_ (_ tptp.and3 (_ (_ tptp.l_ec _let_1) _let_3)) (_ (_ tptp.l_ec _let_3) _let_2)) (_ (_ tptp.l_ec _let_2) _let_1))))))) % 2.42/2.62 (define tptp.orec3 () (let ((_let_1 (@var "X2" Bool))) (let ((_let_2 (@var "X1" Bool))) (let ((_let_3 (@var "X0" Bool))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.d_and (_ (_ (_ tptp.or3 _let_3) _let_2) _let_1)) (_ (_ (_ tptp.ec3 _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.e_is () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list (@var "X0" $$unsorted) _let_2 _let_1) (= _let_2 _let_1))))) % 2.42/2.62 (define tptp.amone () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_5 (@list _let_1))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3 _let_4) (_ (_ tptp.all_of (lambda _let_6 (_ (_ tptp.in _let_2) _let_3))) (lambda _let_6 (_ (_ tptp.all_of (lambda _let_5 (_ (_ tptp.in _let_1) _let_3))) (lambda _let_5 (=> (_ _let_4 _let_2) (=> (_ _let_4 _let_1) (_ (_ (_ tptp.e_is _let_3) _let_2) _let_1))))))))))))))) % 2.42/2.62 (define tptp.one () (let ((_let_1 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.d_and (_ (_ tptp.amone _let_2) _let_1)) (_ (_ tptp.l_some _let_2) _let_1)))))) % 2.42/2.62 (define tptp.ind () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.eps (lambda (@list _let_1) (and (_ (_ tptp.in _let_1) _let_3) (_ _let_2 _let_1))))))))) % 2.42/2.62 (define tptp.injective () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (let ((_let_5 (_ tptp.ap _let_4))) (let ((_let_6 (@var "X1" $$unsorted))) (let ((_let_7 (_ tptp.all _let_3))) (lambda (@list _let_3 _let_6 _let_4) (_ _let_7 (lambda (@list _let_2) (_ _let_7 (lambda (@list _let_1) (_ (_ tptp.imp (_ (_ (_ tptp.e_is _let_6) (_ _let_5 _let_2)) (_ _let_5 _let_1))) (_ (_ (_ tptp.e_is _let_3) _let_2) _let_1))))))))))))))) % 2.42/2.62 (define tptp.image () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X1" $$unsorted))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_4 _let_2 _let_3) (_ (_ tptp.l_some _let_5) (lambda (@list _let_1) (_ (_ (_ tptp.e_is _let_4) _let_3) (_ (_ tptp.ap _let_2) _let_1))))))))))) % 2.42/2.62 (define tptp.tofs () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (lambda (@list (@var "X0" $$unsorted) (@var "X1" $$unsorted) _let_2 _let_1) (_ (_ tptp.ap _let_2) _let_1))))) % 2.42/2.62 (define tptp.soft () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X1" $$unsorted))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_4 _let_2 _let_3) (_ (_ tptp.ind _let_5) (lambda (@list _let_1) (_ (_ (_ tptp.e_is _let_4) _let_3) (_ (_ tptp.ap _let_2) _let_1))))))))))) % 2.42/2.62 (define tptp.inverse () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X1" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3 _let_2) (_ (_ tptp.d_Sigma _let_3) (lambda (@list _let_1) (_ (_ (_ tptp.if (_ (_ (_ (_ tptp.image _let_4) _let_3) _let_2) _let_1)) (_ (_ (_ (_ tptp.soft _let_4) _let_3) _let_2) _let_1)) tptp.emptyset))))))))) % 2.42/2.62 (define tptp.surjective () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.all _let_2) (_ (_ (_ tptp.image _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.bijective () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.d_and (_ (_ (_ tptp.injective _let_3) _let_2) _let_1)) (_ (_ (_ tptp.surjective _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.invf () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.d_Sigma _let_2) (_ (_ (_ tptp.soft _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.inj_h () (let ((_let_1 (@var "X5" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X4" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 (@var "X1" $$unsorted) (@var "X2" $$unsorted) _let_2 _let_3) (_ (_ tptp.d_Sigma _let_4) (lambda (@list _let_1) (_ (_ tptp.ap _let_3) (_ (_ tptp.ap _let_2) _let_1)))))))))) % 2.42/2.62 (define tptp.e_in () (let ((_let_1 (@var "X2" $$unsorted))) (lambda (@list (@var "X0" $$unsorted) (@var "X1" (-> $$unsorted Bool)) _let_1) _let_1))) % 2.42/2.62 (define tptp.out () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (_ (_ tptp.d_Sep _let_3) _let_2))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ (_ tptp.soft _let_4) _let_3) (_ (_ tptp.d_Sigma _let_4) (_ (_ tptp.e_in _let_3) _let_2))) _let_1))))))) % 2.42/2.62 (define tptp.d_pair () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (lambda (@list (@var "X0" $$unsorted) (@var "X1" $$unsorted) _let_2 _let_1) (_ (_ tptp.pair _let_2) _let_1))))) % 2.42/2.62 (define tptp.first () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (lambda (@list (@var "X0" $$unsorted) (@var "X1" $$unsorted) _let_1) (_ tptp.proj0 _let_1)))) % 2.42/2.62 (define tptp.second () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (lambda (@list (@var "X0" $$unsorted) (@var "X1" $$unsorted) _let_1) (_ tptp.proj1 _let_1)))) % 2.42/2.62 (define tptp.prop1 () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X4" $$unsorted))) (let ((_let_3 (@var "X1" $$unsorted))) (let ((_let_4 (_ (_ tptp.e_is _let_3) _let_2))) (let ((_let_5 (@var "X0" Bool))) (let ((_let_6 (@var "X2" $$unsorted))) (lambda (@list _let_5 _let_3 _let_6 _let_1 _let_2) (_ (_ tptp.d_and (_ (_ tptp.imp _let_5) (_ _let_4 _let_6))) (_ (_ tptp.imp (_ tptp.d_not _let_5)) (_ _let_4 _let_1))))))))))) % 2.42/2.62 (define tptp.ite () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X1" $$unsorted))) (let ((_let_4 (@var "X0" Bool))) (lambda (@list _let_4 _let_3 _let_2 _let_1) (_ (_ tptp.ind _let_3) (_ (_ (_ (_ tptp.prop1 _let_4) _let_3) _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.wissel_wa () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@var "X1" $$unsorted))) (lambda (@list _let_3 _let_4 _let_2 _let_1) (_ (_ (_ (_ tptp.ite (_ (_ (_ tptp.e_is _let_3) _let_1) _let_4)) _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.wissel_wb () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X1" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (lambda (@list _let_4 _let_3 _let_2 _let_1) (_ (_ (_ (_ tptp.ite (_ (_ (_ tptp.e_is _let_4) _let_1) _let_2)) _let_4) _let_3) (_ (_ (_ (_ tptp.wissel_wa _let_4) _let_3) _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.wissel () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.d_Sigma _let_3) (_ (_ (_ tptp.wissel_wb _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.changef () (let ((_let_1 (@var "X5" $$unsorted))) (let ((_let_2 (@var "X4" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@var "X2" $$unsorted))) (lambda (@list _let_4 (@var "X1" $$unsorted) _let_5 _let_3 _let_2) (_ (_ tptp.d_Sigma _let_4) (lambda (@list _let_1) (_ (_ tptp.ap _let_5) (_ (_ tptp.ap (_ (_ (_ tptp.wissel _let_4) _let_3) _let_2)) _let_1))))))))))) % 2.42/2.62 (define tptp.r_ec () (let ((_let_1 (@var "X1" Bool))) (let ((_let_2 (@var "X0" Bool))) (lambda (@list _let_2 _let_1) (=> _let_2 (_ tptp.d_not _let_1)))))) % 2.42/2.62 (define tptp.esti () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (lambda (@list (@var "X0" $$unsorted) _let_2 _let_1) (_ (_ tptp.in _let_2) _let_1))))) % 2.42/2.62 (define tptp.empty () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@list _let_2))) (lambda (@list _let_3 _let_1) (_ (_ tptp.all_of (lambda _let_4 (_ (_ tptp.in _let_2) _let_3))) (_ (_ tptp.non _let_3) (lambda _let_4 (_ (_ (_ tptp.esti _let_3) _let_2) _let_1)))))))))) % 2.42/2.62 (define tptp.nonempty () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_1) (_ (_ tptp.l_some _let_3) (lambda (@list _let_2) (_ (_ (_ tptp.esti _let_3) _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.incl () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (_ (_ tptp.esti _let_3) _let_2))) (let ((_let_5 (@var "X1" $$unsorted))) (lambda (@list _let_3 _let_5 _let_1) (_ (_ tptp.all _let_3) (lambda (@list _let_2) (_ (_ tptp.imp (_ _let_4 _let_5)) (_ _let_4 _let_1))))))))))) % 2.42/2.62 (define tptp.st_disj () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (_ (_ tptp.esti _let_3) _let_2))) (let ((_let_5 (@var "X1" $$unsorted))) (lambda (@list _let_3 _let_5 _let_1) (_ (_ tptp.all _let_3) (lambda (@list _let_2) (_ (_ tptp.l_ec (_ _let_4 _let_5)) (_ _let_4 _let_1))))))))))) % 2.42/2.62 (define tptp.nissetprop () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (_ (_ tptp.esti _let_3) _let_2))) (let ((_let_5 (@var "X1" $$unsorted))) (lambda (@list _let_3 _let_5 _let_1 _let_2) (_ (_ tptp.d_and (_ _let_4 _let_5)) (_ tptp.d_not (_ _let_4 _let_1)))))))))) % 2.42/2.62 (define tptp.unmore () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X2" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@var "X1" $$unsorted))) (lambda (@list _let_4 _let_5 _let_2) (_ (_ tptp.d_Sep _let_4) (lambda (@list _let_3) (_ (_ tptp.l_some _let_5) (lambda (@list _let_1) (_ (_ (_ tptp.esti _let_4) _let_3) (_ (_ tptp.ap _let_2) _let_1))))))))))))) % 2.42/2.62 (define tptp.ecelt () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.d_Sep _let_3) (_ _let_2 _let_1))))))) % 2.42/2.62 (define tptp.ecp () (let ((_let_1 (@var "X3" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (lambda (@list _let_3 _let_2 _let_4 _let_1) (_ (_ (_ tptp.e_is (_ tptp.power _let_3)) _let_4) (_ (_ (_ tptp.ecelt _let_3) _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.anec () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.l_some _let_3) (_ (_ (_ tptp.ecp _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.ect () (let ((_let_1 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ (_ tptp.d_Sep (_ tptp.power _let_2)) (_ (_ tptp.anec _let_2) _let_1)))))) % 2.42/2.62 (define tptp.ectset () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.out (_ tptp.power _let_3)) (_ (_ tptp.anec _let_3) _let_2)) _let_1)))))) % 2.42/2.62 (define tptp.ectelt () (let ((_let_1 (@var "X2" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.ectset _let_3) _let_2) (_ (_ (_ tptp.ecelt _let_3) _let_2) _let_1))))))) % 2.42/2.62 (define tptp.ecect () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "X0" $$unsorted))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.e_in (_ tptp.power _let_3)) (_ (_ tptp.anec _let_3) _let_2)) _let_1)))))) % 2.42/2.62 (define tptp.fixfu () (let ((_let_1 (@var "X5" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (_ tptp.ap _let_2))) (let ((_let_4 (@var "X4" $$unsorted))) (let ((_let_5 (@var "X2" $$unsorted))) (let ((_let_6 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_7 (@list _let_1))) (let ((_let_8 (@var "X0" $$unsorted))) (let ((_let_9 (@list _let_4))) (lambda (@list _let_8 _let_6 _let_5 _let_2) (_ (_ tptp.all_of (lambda _let_9 (_ (_ tptp.in _let_4) _let_8))) (lambda _let_9 (_ (_ tptp.all_of (lambda _let_7 (_ (_ tptp.in _let_1) _let_8))) (lambda _let_7 (=> (_ (_ _let_6 _let_4) _let_1) (_ (_ (_ tptp.e_is _let_5) (_ _let_3 _let_4)) (_ _let_3 _let_1)))))))))))))))))) % 2.42/2.62 (define tptp.d_10_prop1 () (let ((_let_1 (@var "X5" $$unsorted))) (let ((_let_2 (@var "X6" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (let ((_let_5 (@var "X4" $$unsorted))) (let ((_let_6 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_7 (@var "X0" $$unsorted))) (lambda (@list _let_7 _let_6 _let_4 _let_3 _let_5 _let_1 _let_2) (_ (_ tptp.d_and (_ (_ (_ tptp.esti _let_7) _let_2) (_ (_ (_ tptp.ecect _let_7) _let_6) _let_5))) (_ (_ (_ tptp.e_is _let_4) (_ (_ tptp.ap _let_3) _let_2)) _let_1))))))))))) % 2.42/2.62 (define tptp.prop2 () (let ((_let_1 (@var "X5" $$unsorted))) (let ((_let_2 (@var "X4" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (let ((_let_5 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_6 (@var "X0" $$unsorted))) (lambda (@list _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (_ (_ tptp.l_some _let_6) (_ (_ (_ (_ (_ (_ tptp.d_10_prop1 _let_6) _let_5) _let_4) _let_3) _let_2) _let_1)))))))))) % 2.42/2.62 (define tptp.indeq () (let ((_let_1 (@var "X4" $$unsorted))) (let ((_let_2 (@var "X3" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (@var "X0" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3 _let_2 _let_1) (_ (_ tptp.ind _let_3) (_ (_ (_ (_ (_ tptp.prop2 _let_5) _let_4) _let_3) _let_2) _let_1))))))))) % 2.42/2.62 (define tptp.fixfu2 () (let ((_let_1 (@var "X7" $$unsorted))) (let ((_let_2 (@var "X5" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (_ tptp.ap _let_3))) (let ((_let_5 (@var "X6" $$unsorted))) (let ((_let_6 (@var "X4" $$unsorted))) (let ((_let_7 (@var "X2" $$unsorted))) (let ((_let_8 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_9 (@list _let_1))) (let ((_let_10 (@var "X0" $$unsorted))) (let ((_let_11 (@list _let_5))) (let ((_let_12 (@list _let_2))) (let ((_let_13 (@list _let_6))) (lambda (@list _let_10 _let_8 _let_7 _let_3) (_ (_ tptp.all_of (lambda _let_13 (_ (_ tptp.in _let_6) _let_10))) (lambda _let_13 (_ (_ tptp.all_of (lambda _let_12 (_ (_ tptp.in _let_2) _let_10))) (lambda _let_12 (_ (_ tptp.all_of (lambda _let_11 (_ (_ tptp.in _let_5) _let_10))) (lambda _let_11 (_ (_ tptp.all_of (lambda _let_9 (_ (_ tptp.in _let_1) _let_10))) (lambda _let_9 (=> (_ (_ _let_8 _let_6) _let_2) (=> (_ (_ _let_8 _let_5) _let_1) (_ (_ (_ tptp.e_is _let_7) (_ (_ tptp.ap (_ _let_4 _let_6)) _let_5)) (_ (_ tptp.ap (_ _let_4 _let_2)) _let_1))))))))))))))))))))))))))) % 2.42/2.62 (define tptp.d_11_i () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "X2" $$unsorted))) (let ((_let_4 (@var "X0" $$unsorted))) (let ((_let_5 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_5 _let_3 _let_2 _let_1) (_ (_ (_ (_ (_ tptp.indeq _let_4) _let_5) (_ (_ tptp.d_Pi _let_4) (lambda (@list (@var "X3" $$unsorted)) _let_3))) _let_2) _let_1)))))))) % 2.42/2.62 (define tptp.indeq2 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X4" $$unsorted))) (let ((_let_3 (@var "X3" $$unsorted))) (let ((_let_4 (@var "X2" $$unsorted))) (let ((_let_5 (@var "X1" (-> $$unsorted $$unsorted Bool)))) (let ((_let_6 (@var "X0" $$unsorted))) (lambda (@list _let_6 _let_5 _let_4 _let_3 _let_2 _let_1) (_ (_ (_ (_ (_ tptp.indeq _let_6) _let_5) _let_4) (_ (_ (_ (_ (_ tptp.d_11_i _let_6) _let_5) _let_4) _let_3) _let_2)) _let_1))))))))) % 2.42/2.62 (define tptp.nis () (let ((_let_1 (@var "X1" $$unsorted))) (let ((_let_2 (@var "X0" $$unsorted))) (lambda (@list _let_2 _let_1) (_ tptp.d_not (_ (_ tptp.n_is _let_2) _let_1)))))) % 2.42/2.62 (define tptp.cond2 () (let ((_let_1 (@var "X0" $$unsorted))) (let ((_let_2 (@var "X1" $$unsorted))) (lambda (@list _let_1) (_ tptp.n_all (lambda (@list _let_2) (_ (_ tptp.imp (_ (_ tptp.n_in _let_2) _let_1)) (_ (_ tptp.n_in (_ tptp.ordsucc _let_2)) _let_1)))))))) % 2.42/2.62 (define @t1 () (@var "X1" $$unsorted)) % 2.42/2.62 (define @t2 () (@var "X0" $$unsorted)) % 2.42/2.62 (define @t3 () (= @t2 @t1)) % 2.42/2.62 (define @t4 () (_ (_ tptp.d_Subq @t1) @t2)) % 2.42/2.62 (define @t5 () (@list @t2 @t1)) % 2.42/2.62 (define @t6 () (@var "X0" (-> $$unsorted Bool))) % 2.42/2.62 (define @t7 () (_ @t6 @t1)) % 2.42/2.62 (define @t8 () (@list @t1)) % 2.42/2.62 (define @t9 () (@var "X2" $$unsorted)) % 2.42/2.62 (define @t10 () (_ @t6 @t9)) % 2.42/2.62 (define @t11 () (_ tptp.in @t9)) % 2.42/2.62 (define @t12 () (_ @t11 @t1)) % 2.42/2.62 (define @t13 () (@list @t9)) % 2.42/2.62 (define @t14 () (@list @t6)) % 2.42/2.62 (define @t15 () (_ tptp.in @t2)) % 2.42/2.62 (define @t16 () (@list @t2)) % 2.42/2.62 (define @t17 () (_ @t11 @t2)) % 2.42/2.62 (define @t18 () (_ tptp.in @t1)) % 2.42/2.62 (define @t19 () (_ @t18 @t9)) % 2.42/2.62 (define @t20 () (_ tptp.power @t2)) % 2.42/2.62 (define @t21 () (_ @t18 @t20)) % 2.42/2.62 (define @t22 () (@var "X3" $$unsorted)) % 2.42/2.62 (define @t23 () (@var "X1" (-> $$unsorted $$unsorted))) % 2.42/2.62 (define @t24 () (_ @t23 @t22)) % 2.42/2.62 (define @t25 () (_ tptp.in @t22)) % 2.42/2.62 (define @t26 () (_ @t25 @t2)) % 2.42/2.62 (define @t27 () (@list @t22)) % 2.42/2.62 (define @t28 () (_ tptp.repl @t2)) % 2.42/2.62 (define @t29 () (_ @t28 @t23)) % 2.42/2.62 (define @t30 () (@list @t2 @t23 @t9)) % 2.42/2.62 (define @t31 () (_ tptp.univof @t2)) % 2.42/2.62 (define @t32 () (@var "X0" Bool)) % 2.42/2.62 (define @t33 () (_ tptp.if @t32)) % 2.42/2.62 (define @t34 () (_ @t33 @t1)) % 2.42/2.62 (define @t35 () (_ @t34 @t9)) % 2.42/2.62 (define @t36 () (= @t35 @t9)) % 2.42/2.62 (define @t37 () (not @t32)) % 2.42/2.62 (define @t38 () (= @t35 @t1)) % 2.42/2.62 (define @t39 () (@list @t32 @t1 @t9)) % 2.42/2.62 (define @t40 () (@var "X1" (-> $$unsorted Bool))) % 2.42/2.62 (define @t41 () (_ tptp.d_Sep @t2)) % 2.42/2.62 (define @t42 () (_ @t41 @t40)) % 2.42/2.62 (define @t43 () (_ @t11 @t42)) % 2.42/2.62 (define @t44 () (_ @t40 @t9)) % 2.42/2.62 (define @t45 () (@list @t2 @t40 @t9)) % 2.42/2.62 (define @t46 () (_ tptp.ordsucc @t2)) % 2.42/2.62 (define @t47 () (_ tptp.ordsucc @t1)) % 2.42/2.62 (define @t48 () (_ tptp.ordsucc tptp.emptyset)) % 2.42/2.62 (define @t49 () (_ tptp.in tptp.emptyset)) % 2.42/2.62 (define @t50 () (_ tptp.nat_p @t2)) % 2.42/2.62 (define @t51 () (_ tptp.nat_p @t1)) % 2.42/2.62 (define @t52 () (= @t2 tptp.emptyset)) % 2.42/2.62 (define @t53 () (_ tptp.univof tptp.emptyset)) % 2.42/2.62 (define @t54 () (= tptp.omega (_ (_ tptp.d_Sep @t53) tptp.nat_p))) % 2.42/2.62 (define @t55 () (_ @t15 tptp.omega)) % 2.42/2.62 (define @t56 () (_ tptp.d_Sing tptp.emptyset)) % 2.42/2.62 (define @t57 () (@list @t2 @t23)) % 2.42/2.62 (define @t58 () (@var "__flatten_var_0" (-> $$unsorted $$unsorted))) % 2.42/2.62 (define @t59 () (_ (_ tptp.pair @t2) @t1)) % 2.42/2.62 (define @t60 () (_ tptp.d_Sigma @t2)) % 2.42/2.62 (define @t61 () (_ @t60 @t23)) % 2.42/2.62 (define @t62 () (_ tptp.pair @t9)) % 2.42/2.62 (define @t63 () (_ @t23 @t9)) % 2.42/2.62 (define @t64 () (_ tptp.proj0 @t9)) % 2.42/2.62 (define @t65 () (_ tptp.proj1 @t9)) % 2.42/2.62 (define @t66 () (_ (_ tptp.in @t65) (_ @t23 @t64))) % 2.42/2.62 (define @t67 () (_ (_ tptp.in @t64) @t2)) % 2.42/2.62 (define @t68 () (= (_ (_ tptp.pair @t64) @t65) @t9)) % 2.42/2.62 (define @t69 () (_ @t11 @t61)) % 2.42/2.62 (define @t70 () (_ tptp.d_Pi @t2)) % 2.42/2.62 (define @t71 () (_ @t70 @t23)) % 2.42/2.62 (define @t72 () (@var "X2" (-> $$unsorted $$unsorted))) % 2.42/2.62 (define @t73 () (_ @t60 @t72)) % 2.42/2.62 (define @t74 () (_ @t72 @t22)) % 2.42/2.62 (define @t75 () (_ tptp.in @t74)) % 2.42/2.62 (define @t76 () (@list @t2 @t23 @t72)) % 2.42/2.62 (define @t77 () (_ tptp.ap @t9)) % 2.42/2.62 (define @t78 () (_ @t77 @t22)) % 2.42/2.62 (define @t79 () (=> @t26 (_ (_ tptp.in @t78) @t24))) % 2.42/2.62 (define @t80 () (_ @t11 @t71)) % 2.42/2.62 (define @t81 () (= @t9 @t22)) % 2.42/2.62 (define @t82 () (@var "X4" $$unsorted)) % 2.42/2.62 (define @t83 () (_ tptp.ap @t22)) % 2.42/2.62 (define @t84 () (_ @t83 @t82)) % 2.42/2.62 (define @t85 () (_ @t77 @t82)) % 2.42/2.62 (define @t86 () (_ tptp.in @t82)) % 2.42/2.62 (define @t87 () (_ @t86 @t2)) % 2.42/2.62 (define @t88 () (@list @t82)) % 2.42/2.62 (define @t89 () (_ @t33 @t9)) % 2.42/2.62 (define @t90 () (@list @t32 @t1 @t9 @t22)) % 2.42/2.62 (define @t91 () (@list @t32)) % 2.42/2.62 (define @t92 () (_ tptp.e_is @t2)) % 2.42/2.62 (define @t93 () (_ @t18 @t2)) % 2.42/2.62 (define @t94 () (_ tptp.all_of (lambda @t8 @t93))) % 2.42/2.62 (define @t95 () (_ @t40 @t22)) % 2.42/2.62 (define @t96 () (_ (_ @t92 @t9) @t22)) % 2.42/2.62 (define @t97 () (lambda @t27 @t26)) % 2.42/2.62 (define @t98 () (_ tptp.all_of @t97)) % 2.42/2.62 (define @t99 () (lambda @t13 @t17)) % 2.42/2.62 (define @t100 () (_ tptp.all_of @t99)) % 2.42/2.62 (define @t101 () (@list @t2 @t40)) % 2.42/2.62 (define @t102 () (_ tptp.ind @t2)) % 2.42/2.62 (define @t103 () (_ @t102 @t40)) % 2.42/2.62 (define @t104 () (_ (_ tptp.one @t2) @t40)) % 2.42/2.62 (define @t105 () (_ @t70 (lambda @t88 @t1))) % 2.42/2.62 (define @t106 () (_ tptp.e_is @t1)) % 2.42/2.62 (define @t107 () (_ tptp.all_of (lambda @t88 @t87))) % 2.42/2.62 (define @t108 () (_ (_ tptp.e_in @t2) @t40)) % 2.42/2.62 (define @t109 () (_ @t108 @t9)) % 2.42/2.62 (define @t110 () (_ tptp.all_of (lambda @t13 @t43))) % 2.42/2.62 (define @t111 () (_ (_ tptp.d_Sigma @t42) @t108)) % 2.42/2.62 (define @t112 () (_ (_ tptp.setprod @t2) @t1)) % 2.42/2.62 (define @t113 () (_ (_ tptp.d_pair @t2) @t1)) % 2.42/2.62 (define @t114 () (_ (_ @t113 @t9) @t22)) % 2.42/2.62 (define @t115 () (_ @t25 @t1)) % 2.42/2.62 (define @t116 () (lambda @t27 @t115)) % 2.42/2.62 (define @t117 () (_ tptp.all_of @t116)) % 2.42/2.62 (define @t118 () (_ (_ tptp.first @t2) @t1)) % 2.42/2.62 (define @t119 () (_ @t118 @t9)) % 2.42/2.62 (define @t120 () (_ tptp.all_of (lambda @t13 (_ @t11 @t112)))) % 2.42/2.62 (define @t121 () (_ (_ tptp.second @t2) @t1)) % 2.42/2.62 (define @t122 () (_ @t121 @t9)) % 2.42/2.62 (define @t123 () (lambda @t13 (_ @t11 @t20))) % 2.42/2.62 (define @t124 () (_ tptp.esti @t2)) % 2.42/2.62 (define @t125 () (_ @t124 @t9)) % 2.42/2.62 (define @t126 () (_ @t125 @t42)) % 2.42/2.62 (define @t127 () (_ tptp.e_is @t20)) % 2.42/2.62 (define @t128 () (_ tptp.incl @t2)) % 2.42/2.62 (define @t129 () (lambda @t16 (not @t52))) % 2.42/2.62 (define @t130 () (= tptp.nat (_ (_ tptp.d_Sep tptp.omega) @t129))) % 2.42/2.62 (define @t131 () (= tptp.n_is (_ tptp.e_is tptp.nat))) % 2.42/2.62 (define @t132 () (lambda @t16 (_ @t15 tptp.nat))) % 2.42/2.62 (define @t133 () (lambda @t8 (_ @t18 tptp.nat))) % 2.42/2.62 (define @t134 () (_ tptp.all_of @t132)) % 2.42/2.62 (define @t135 () (_ tptp.nis @t46)) % 2.42/2.62 (define @t136 () (_ tptp.n_is @t2)) % 2.42/2.62 (define @t137 () (_ @t136 @t1)) % 2.42/2.62 (define @t138 () (=> (_ (_ tptp.n_is @t46) @t47) @t137)) % 2.42/2.62 (define @t139 () (lambda @t8 @t138)) % 2.42/2.62 (define @t140 () (_ tptp.all_of @t133)) % 2.42/2.62 (define @t141 () (lambda @t16 (_ @t140 @t139))) % 2.42/2.62 (define @t142 () (_ (_ tptp.n_in @t1) @t2)) % 2.42/2.62 (define @t143 () (=> (_ (_ tptp.nis @t2) @t1) (_ @t135 @t47))) % 2.42/2.62 (define @t144 () (lambda @t8 @t143)) % 2.42/2.62 (define @t145 () (lambda @t16 (_ @t140 @t144))) % 2.42/2.62 (define @t146 () (not (_ @t134 @t145))) % 2.42/2.62 (define @t147 () (_ @t40 @t2)) % 2.42/2.62 (define @t148 () (lambda @t101 @t147)) % 2.42/2.62 (define @t149 () (=> (_ (_ tptp.is_of @t9) @t6) @t44)) % 2.42/2.62 (define @t150 () (forall @t13 @t149)) % 2.42/2.62 (define @t151 () (@list @t6 @t40)) % 2.42/2.62 (define @t152 () (lambda @t151 @t150)) % 2.42/2.62 (define @t153 () (lambda @t5 (forall @t13 (=> @t17 @t12)))) % 2.42/2.62 (define @t154 () (lambda @t16 (forall @t8 (=> @t93 (_ (_ tptp.in (_ tptp.union @t1)) @t2))))) % 2.42/2.62 (define @t155 () (lambda @t16 (forall @t8 (=> @t93 (_ (_ tptp.in (_ tptp.power @t1)) @t2))))) % 2.42/2.62 (define @t156 () (_ tptp.repl @t1)) % 2.42/2.62 (define @t157 () (lambda @t16 (forall @t8 (=> @t93 (forall (@list @t72) (=> (forall @t27 (=> @t115 (_ @t75 @t2))) (_ (_ tptp.in (_ @t156 @t72)) @t2))))))) % 2.42/2.62 (define @t158 () (lambda @t16 (and (_ tptp.d_Union_closed @t2) (_ tptp.d_Power_closed @t2) (_ tptp.d_Repl_closed @t2)))) % 2.42/2.62 (define @t159 () (and @t37 (= @t22 @t9))) % 2.42/2.62 (define @t160 () (= @t22 @t1)) % 2.42/2.62 (define @t161 () (and @t32 @t160)) % 2.42/2.62 (define @t162 () (or @t161 @t159)) % 2.42/2.62 (define @t163 () (lambda @t27 @t162)) % 2.42/2.62 (define @t164 () (lambda @t39 (_ tptp.eps @t163))) % 2.42/2.62 (define @t165 () (lambda @t5 (not (_ @t15 @t1)))) % 2.42/2.62 (define @t166 () (_ @t49 @t9)) % 2.42/2.62 (define @t167 () (lambda @t13 (_ (_ (_ tptp.if @t166) @t2) @t1))) % 2.42/2.62 (define @t168 () (_ tptp.power tptp.emptyset)) % 2.42/2.62 (define @t169 () (_ tptp.power @t168)) % 2.42/2.62 (define @t170 () (_ tptp.repl @t169)) % 2.42/2.62 (define @t171 () (lambda @t5 (_ @t170 @t167))) % 2.42/2.62 (define @t172 () (_ tptp.d_UPair @t2)) % 2.42/2.62 (define @t173 () (lambda @t16 (_ @t172 @t2))) % 2.42/2.62 (define @t174 () (lambda @t5 (_ tptp.union (_ @t172 @t1)))) % 2.42/2.62 (define @t175 () (lambda @t57 (_ tptp.union @t29))) % 2.42/2.62 (define @t176 () (_ tptp.eps (lambda @t27 (and @t26 @t95)))) % 2.42/2.62 (define @t177 () (lambda @t13 (_ (_ (_ tptp.if @t44) @t9) @t176))) % 2.42/2.62 (define @t178 () (and @t17 @t44)) % 2.42/2.62 (define @t179 () (exists @t13 @t178)) % 2.42/2.62 (define @t180 () (lambda @t101 (_ (_ (_ tptp.if @t179) (_ @t28 @t177)) tptp.emptyset))) % 2.42/2.62 (define @t181 () (lambda (@list @t2 @t40 @t58) (_ (_ tptp.repl @t42) @t58))) % 2.42/2.62 (define @t182 () (lambda @t5 (_ @t41 (lambda @t13 (_ (_ tptp.nIn @t9) @t1))))) % 2.42/2.62 (define @t183 () (@var "X3" (-> $$unsorted $$unsorted Bool))) % 2.42/2.62 (define @t184 () (@var "X5" (-> $$unsorted $$unsorted))) % 2.42/2.62 (define @t185 () (@var "X0" (-> $$unsorted (-> $$unsorted $$unsorted) $$unsorted))) % 2.42/2.62 (define @t186 () (@var "X6" $$unsorted)) % 2.42/2.62 (define @t187 () (_ tptp.in @t186)) % 2.42/2.62 (define @t188 () (@list @t186)) % 2.42/2.62 (define @t189 () (lambda (@list @t185 @t1 @t9) (forall (@list @t183) (=> (forall (@list @t82 @t184) (=> (forall @t188 (=> (_ @t187 @t82) (_ (_ @t183 @t186) (_ @t184 @t186)))) (_ (_ @t183 @t82) (_ (_ @t185 @t82) @t184)))) (_ (_ @t183 @t1) @t9))))) % 2.42/2.62 (define @t190 () (lambda (@list @t185 @t1) (_ tptp.eps (_ (_ tptp.d_In_rec_G @t185) @t1)))) % 2.42/2.62 (define @t191 () (lambda @t16 (_ (_ tptp.binunion @t2) (_ tptp.d_Sing @t2)))) % 2.42/2.62 (define @t192 () (=> @t44 (_ @t40 (_ tptp.ordsucc @t9)))) % 2.42/2.62 (define @t193 () (forall @t13 @t192)) % 2.42/2.62 (define @t194 () (=> @t193 @t147)) % 2.42/2.62 (define @t195 () (_ @t40 tptp.emptyset)) % 2.42/2.62 (define @t196 () (=> @t195 @t194)) % 2.42/2.62 (define @t197 () (@list @t40)) % 2.42/2.62 (define @t198 () (forall @t197 @t196)) % 2.42/2.62 (define @t199 () (lambda @t16 @t198)) % 2.42/2.62 (define @t200 () (lambda @t16 (_ @t28 tptp.d_Inj1))) % 2.42/2.62 (define @t201 () (lambda @t5 (_ (_ tptp.binunion (_ @t28 tptp.d_Inj0)) (_ @t156 tptp.d_Inj1)))) % 2.42/2.62 (define @t202 () (_ tptp.d_ReplSep @t2)) % 2.42/2.62 (define @t203 () (lambda @t16 (_ (_ @t202 (lambda @t8 (exists @t13 (= (_ tptp.d_Inj0 @t9) @t1)))) tptp.d_Unj))) % 2.42/2.62 (define @t204 () (lambda @t16 (_ (_ @t202 (lambda @t8 (exists @t13 (= (_ tptp.d_Inj1 @t9) @t1)))) tptp.d_Unj))) % 2.42/2.62 (define @t205 () (lambda @t57 (_ (_ tptp.famunion @t2) (lambda @t13 (_ (_ tptp.repl @t63) @t62))))) % 2.42/2.62 (define @t206 () (lambda @t5 (_ @t60 (lambda @t13 @t1)))) % 2.42/2.62 (define @t207 () (lambda @t5 (_ (_ @t202 (lambda @t13 (exists @t27 (= @t9 (_ (_ tptp.pair @t1) @t22))))) tptp.proj1))) % 2.42/2.62 (define @t208 () (_ tptp.ap @t2)) % 2.42/2.62 (define @t209 () (lambda @t16 (= (_ (_ tptp.pair (_ @t208 tptp.emptyset)) (_ @t208 @t48)) @t2))) % 2.42/2.62 (define @t210 () (lambda @t57 (_ (_ tptp.d_Sep (_ tptp.power (_ @t60 (lambda @t13 (_ tptp.union @t63))))) (lambda @t13 (forall @t27 @t79))))) % 2.42/2.62 (define @t211 () (@var "X1" Bool)) % 2.42/2.62 (define @t212 () (=> @t32 @t211)) % 2.42/2.62 (define @t213 () (@list @t32 @t211)) % 2.42/2.62 (define @t214 () (lambda @t213 @t212)) % 2.42/2.62 (define @t215 () (_ tptp.imp @t32)) % 2.42/2.62 (define @t216 () (lambda @t91 (_ @t215 false))) % 2.42/2.62 (define @t217 () (_ tptp.d_not @t32)) % 2.42/2.62 (define @t218 () (lambda @t91 (_ tptp.d_not @t217))) % 2.42/2.62 (define @t219 () (_ tptp.d_not @t211)) % 2.42/2.62 (define @t220 () (lambda @t213 (_ @t215 @t219))) % 2.42/2.62 (define @t221 () (_ (_ tptp.l_ec @t32) @t211)) % 2.42/2.62 (define @t222 () (lambda @t213 (_ tptp.d_not @t221))) % 2.42/2.62 (define @t223 () (@var "__flatten_var_0" Bool)) % 2.42/2.62 (define @t224 () (_ tptp.imp @t217)) % 2.42/2.62 (define @t225 () (lambda (@list @t32 @t223) (_ @t224 @t223))) % 2.42/2.62 (define @t226 () (_ tptp.l_or @t32)) % 2.42/2.62 (define @t227 () (lambda @t213 (_ (_ tptp.d_and (_ @t226 @t211)) @t221))) % 2.42/2.62 (define @t228 () (lambda @t213 (_ (_ tptp.d_and (_ @t215 @t211)) (_ (_ tptp.imp @t211) @t32)))) % 2.42/2.62 (define @t229 () (@var "__flatten_var_0" (-> $$unsorted Bool))) % 2.42/2.62 (define @t230 () (lambda (@list @t2 @t229) (_ @t94 @t229))) % 2.42/2.62 (define @t231 () (lambda @t45 (_ tptp.d_not @t44))) % 2.42/2.62 (define @t232 () (_ tptp.non @t2)) % 2.42/2.62 (define @t233 () (lambda @t101 (_ tptp.d_not (_ @t100 (_ @t232 @t40))))) % 2.42/2.62 (define @t234 () (@var "X2" Bool)) % 2.42/2.62 (define @t235 () (@list @t32 @t211 @t234)) % 2.42/2.62 (define @t236 () (lambda @t235 (_ @t226 (_ (_ tptp.l_or @t211) @t234)))) % 2.42/2.62 (define @t237 () (lambda @t235 (_ (_ tptp.d_and @t32) (_ (_ tptp.d_and @t211) @t234)))) % 2.42/2.62 (define @t238 () (lambda @t235 (_ (_ (_ tptp.and3 @t221) (_ (_ tptp.l_ec @t211) @t234)) (_ (_ tptp.l_ec @t234) @t32)))) % 2.42/2.62 (define @t239 () (lambda @t235 (_ (_ tptp.d_and (_ (_ (_ tptp.or3 @t32) @t211) @t234)) (_ (_ (_ tptp.ec3 @t32) @t211) @t234)))) % 2.42/2.62 (define @t240 () (@var "Y" $$unsorted)) % 2.42/2.62 (define @t241 () (@var "X" $$unsorted)) % 2.42/2.62 (define @t242 () (= @t241 @t240)) % 2.42/2.62 (define @t243 () (lambda (@list @t2 @t241 @t240) @t242)) % 2.42/2.62 (define @t244 () (lambda @t101 (_ @t100 (lambda @t13 (_ @t98 (lambda @t27 (=> @t44 (=> @t95 @t96)))))))) % 2.42/2.62 (define @t245 () (_ tptp.l_some @t2)) % 2.42/2.62 (define @t246 () (lambda @t101 (_ (_ tptp.d_and (_ (_ tptp.amone @t2) @t40)) (_ @t245 @t40)))) % 2.42/2.62 (define @t247 () (lambda @t101 (_ tptp.eps (lambda @t13 @t178)))) % 2.42/2.62 (define @t248 () (_ @t92 @t22)) % 2.42/2.62 (define @t249 () (_ tptp.all @t2)) % 2.42/2.62 (define @t250 () (@list @t2 @t1 @t9)) % 2.42/2.62 (define @t251 () (lambda @t250 (_ @t249 (lambda @t27 (_ @t249 (lambda @t88 (_ (_ tptp.imp (_ (_ @t106 @t78) @t85)) (_ @t248 @t82)))))))) % 2.42/2.62 (define @t252 () (lambda @t88 (_ (_ @t106 @t22) @t85))) % 2.42/2.62 (define @t253 () (@list @t2 @t1 @t9 @t22)) % 2.42/2.62 (define @t254 () (lambda @t253 (_ @t245 @t252))) % 2.42/2.62 (define @t255 () (@var "__flatten_var_1" $$unsorted)) % 2.42/2.62 (define @t256 () (@var "__flatten_var_0" $$unsorted)) % 2.42/2.62 (define @t257 () (@list @t2 @t1 @t256 @t255)) % 2.42/2.62 (define @t258 () (lambda @t257 (_ (_ tptp.ap @t256) @t255))) % 2.42/2.62 (define @t259 () (lambda @t253 (_ @t102 @t252))) % 2.42/2.62 (define @t260 () (_ (_ (_ tptp.soft @t2) @t1) @t9)) % 2.42/2.62 (define @t261 () (_ (_ (_ tptp.image @t2) @t1) @t9)) % 2.42/2.62 (define @t262 () (_ tptp.d_Sigma @t1)) % 2.42/2.62 (define @t263 () (lambda @t250 (_ @t262 (lambda @t27 (_ (_ (_ tptp.if (_ @t261 @t22)) (_ @t260 @t22)) tptp.emptyset))))) % 2.42/2.62 (define @t264 () (lambda @t250 (_ (_ tptp.all @t1) @t261))) % 2.42/2.62 (define @t265 () (lambda @t250 (_ (_ tptp.d_and (_ (_ (_ tptp.injective @t2) @t1) @t9)) (_ (_ (_ tptp.surjective @t2) @t1) @t9)))) % 2.42/2.62 (define @t266 () (lambda @t250 (_ @t262 @t260))) % 2.42/2.62 (define @t267 () (@var "X5" $$unsorted)) % 2.42/2.62 (define @t268 () (_ @t83 @t267)) % 2.42/2.62 (define @t269 () (@list @t267)) % 2.42/2.62 (define @t270 () (@list @t2 @t1 @t9 @t22 @t82)) % 2.42/2.62 (define @t271 () (lambda @t270 (_ @t60 (lambda @t269 (_ (_ tptp.ap @t82) @t268))))) % 2.42/2.62 (define @t272 () (lambda @t45 @t9)) % 2.42/2.62 (define @t273 () (lambda (@list @t2 @t40 @t256) (_ (_ (_ (_ tptp.soft @t42) @t2) @t111) @t256))) % 2.42/2.62 (define @t274 () (lambda @t257 (_ (_ tptp.pair @t256) @t255))) % 2.42/2.62 (define @t275 () (@list @t2 @t1 @t256)) % 2.42/2.62 (define @t276 () (lambda @t275 (_ tptp.proj0 @t256))) % 2.42/2.62 (define @t277 () (lambda @t275 (_ tptp.proj1 @t256))) % 2.42/2.62 (define @t278 () (_ @t106 @t82)) % 2.42/2.62 (define @t279 () (lambda (@list @t32 @t1 @t9 @t22 @t82) (_ (_ tptp.d_and (_ @t215 (_ @t278 @t9))) (_ @t224 (_ @t278 @t22))))) % 2.42/2.62 (define @t280 () (lambda @t90 (_ (_ tptp.ind @t1) (_ (_ (_ (_ tptp.prop1 @t32) @t1) @t9) @t22)))) % 2.42/2.62 (define @t281 () (lambda @t253 (_ (_ (_ (_ tptp.ite (_ @t248 @t1)) @t2) @t9) @t22))) % 2.42/2.62 (define @t282 () (lambda @t253 (_ (_ (_ (_ tptp.ite (_ @t248 @t9)) @t2) @t1) (_ (_ (_ (_ tptp.wissel_wa @t2) @t1) @t9) @t22)))) % 2.42/2.62 (define @t283 () (lambda @t250 (_ @t60 (_ (_ (_ tptp.wissel_wb @t2) @t1) @t9)))) % 2.42/2.62 (define @t284 () (lambda @t270 (_ @t60 (lambda @t269 (_ @t77 (_ (_ tptp.ap (_ (_ (_ tptp.wissel @t2) @t22) @t82)) @t267)))))) % 2.42/2.62 (define @t285 () (lambda @t213 (=> @t32 @t219))) % 2.42/2.62 (define @t286 () (lambda (@list @t2 @t256 @t255) (_ (_ tptp.in @t256) @t255))) % 2.42/2.62 (define @t287 () (lambda @t13 (_ @t125 @t1))) % 2.42/2.62 (define @t288 () (lambda @t5 (_ @t100 (_ @t232 @t287)))) % 2.42/2.62 (define @t289 () (lambda @t5 (_ @t245 @t287))) % 2.42/2.62 (define @t290 () (_ @t124 @t22)) % 2.42/2.62 (define @t291 () (_ @t290 @t9)) % 2.42/2.62 (define @t292 () (_ @t290 @t1)) % 2.42/2.62 (define @t293 () (lambda @t250 (_ @t249 (lambda @t27 (_ (_ tptp.imp @t292) @t291))))) % 2.42/2.62 (define @t294 () (lambda @t250 (_ @t249 (lambda @t27 (_ (_ tptp.l_ec @t292) @t291))))) % 2.42/2.62 (define @t295 () (lambda @t253 (_ (_ tptp.d_and @t292) (_ tptp.d_not @t291)))) % 2.42/2.62 (define @t296 () (lambda @t250 (_ @t41 (lambda @t27 (_ (_ tptp.l_some @t1) (lambda @t88 (_ @t290 @t85))))))) % 2.42/2.62 (define @t297 () (@var "X1" (-> $$unsorted $$unsorted Bool))) % 2.42/2.62 (define @t298 () (@list @t2 @t297 @t9)) % 2.42/2.62 (define @t299 () (lambda @t298 (_ @t41 (_ @t297 @t9)))) % 2.42/2.62 (define @t300 () (_ (_ tptp.ecelt @t2) @t297)) % 2.42/2.62 (define @t301 () (@list @t2 @t297 @t9 @t22)) % 2.42/2.62 (define @t302 () (lambda @t301 (_ (_ @t127 @t9) (_ @t300 @t22)))) % 2.42/2.62 (define @t303 () (lambda @t298 (_ @t245 (_ (_ (_ tptp.ecp @t2) @t297) @t9)))) % 2.42/2.62 (define @t304 () (_ (_ tptp.anec @t2) @t297)) % 2.42/2.62 (define @t305 () (lambda (@list @t2 @t297) (_ (_ tptp.d_Sep @t20) @t304))) % 2.42/2.62 (define @t306 () (@list @t2 @t297 @t256)) % 2.42/2.62 (define @t307 () (lambda @t306 (_ (_ (_ tptp.out @t20) @t304) @t256))) % 2.42/2.62 (define @t308 () (lambda @t298 (_ (_ (_ tptp.ectset @t2) @t297) (_ @t300 @t9)))) % 2.42/2.62 (define @t309 () (lambda @t306 (_ (_ (_ tptp.e_in @t20) @t304) @t256))) % 2.42/2.62 (define @t310 () (_ tptp.e_is @t9)) % 2.42/2.62 (define @t311 () (_ (_ @t297 @t82) @t267)) % 2.42/2.62 (define @t312 () (_ tptp.all_of (lambda @t269 (_ (_ tptp.in @t267) @t2)))) % 2.42/2.62 (define @t313 () (lambda @t301 (_ @t107 (lambda @t88 (_ @t312 (lambda @t269 (=> @t311 (_ (_ @t310 @t84) @t268)))))))) % 2.42/2.62 (define @t314 () (lambda (@list @t2 @t297 @t9 @t22 @t82 @t267 @t186) (_ (_ tptp.d_and (_ (_ @t124 @t186) (_ (_ (_ tptp.ecect @t2) @t297) @t82))) (_ (_ @t310 (_ @t83 @t186)) @t267)))) % 2.42/2.62 (define @t315 () (lambda (@list @t2 @t297 @t9 @t22 @t82 @t267) (_ @t245 (_ (_ (_ (_ (_ (_ tptp.d_10_prop1 @t2) @t297) @t9) @t22) @t82) @t267)))) % 2.42/2.62 (define @t316 () (lambda (@list @t2 @t297 @t9 @t22 @t82) (_ (_ tptp.ind @t9) (_ (_ (_ (_ (_ tptp.prop2 @t2) @t297) @t9) @t22) @t82)))) % 2.42/2.62 (define @t317 () (@var "X7" $$unsorted)) % 2.42/2.62 (define @t318 () (@list @t317)) % 2.42/2.62 (define @t319 () (lambda @t301 (_ @t107 (lambda @t88 (_ @t312 (lambda @t269 (_ (_ tptp.all_of (lambda @t188 (_ @t187 @t2))) (lambda @t188 (_ (_ tptp.all_of (lambda @t318 (_ (_ tptp.in @t317) @t2))) (lambda @t318 (=> @t311 (=> (_ (_ @t297 @t186) @t317) (_ (_ @t310 (_ (_ tptp.ap @t84) @t186)) (_ (_ tptp.ap @t268) @t317)))))))))))))) % 2.42/2.62 (define @t320 () (_ (_ tptp.indeq @t2) @t297)) % 2.42/2.62 (define @t321 () (lambda (@list @t2 @t297 @t9 @t256 @t255) (_ (_ (_ @t320 (_ @t70 (lambda @t27 @t9))) @t256) @t255))) % 2.42/2.62 (define @t322 () (lambda (@list @t2 @t297 @t9 @t22 @t82 @t256) (_ (_ (_ @t320 @t9) (_ (_ (_ (_ (_ tptp.d_11_i @t2) @t297) @t9) @t22) @t82)) @t256))) % 2.42/2.62 (define @t323 () (lambda @t5 (_ tptp.d_not @t137))) % 2.42/2.62 (define @t324 () (lambda @t16 (_ tptp.n_all (lambda @t8 (_ (_ tptp.imp @t142) (_ (_ tptp.n_in @t47) @t2)))))) % 2.42/2.62 (define @t325 () (@var "BOUND_VARIABLE_38340" $$unsorted)) % 2.42/2.62 (define @t326 () (= @t9 @t325)) % 2.42/2.62 (define @t327 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 2.42/2.62 (define @t328 () (= @t327 @t325)) % 2.42/2.62 (define @t329 () (@var "BOUND_VARIABLE_8328" $$unsorted)) % 2.42/2.62 (define @t330 () (tptp.in tptp.emptyset @t329)) % 2.42/2.62 (define @t331 () (not @t330)) % 2.42/2.62 (define @t332 () (@list @t327)) % 2.42/2.62 (define @t333 () (@list @t329)) % 2.42/2.62 (define @t334 () (tptp.power tptp.emptyset)) % 2.42/2.62 (define @t335 () (tptp.power @t334)) % 2.42/2.62 (define @t336 () (@var "BOUND_VARIABLE_38187" $$unsorted)) % 2.42/2.62 (define @t337 () (tptp.in tptp.emptyset @t336)) % 2.42/2.62 (define @t338 () (not @t337)) % 2.42/2.62 (define @t339 () (@list @t336)) % 2.42/2.62 (define @t340 () (tptp.union (tptp.repl @t335 (lambda @t339 (tptp.eps (lambda @t27 (or (and @t337 (= @t22 @t325)) (and @t338 (= @t22 (tptp.repl @t335 (lambda @t333 (tptp.eps (lambda @t332 (or (and @t330 @t328) (and @t331 @t328))))))))))))))) % 2.42/2.62 (define @t341 () (= @t9 @t327)) % 2.42/2.62 (define @t342 () (and @t331 @t341)) % 2.42/2.62 (define @t343 () (and @t330 @t341)) % 2.42/2.62 (define @t344 () (or @t343 @t342)) % 2.42/2.62 (define @t345 () (lambda @t332 @t344)) % 2.42/2.62 (define @t346 () (tptp.eps @t345)) % 2.42/2.62 (define @t347 () (lambda @t333 @t346)) % 2.42/2.62 (define @t348 () (tptp.repl @t335 @t347)) % 2.42/2.62 (define @t349 () (= @t22 @t348)) % 2.42/2.62 (define @t350 () (@var "BOUND_VARIABLE_38200" $$unsorted)) % 2.42/2.62 (define @t351 () (tptp.in tptp.emptyset @t350)) % 2.42/2.62 (define @t352 () (not @t351)) % 2.42/2.62 (define @t353 () (@list @t350)) % 2.42/2.62 (define @t354 () (tptp.union (tptp.repl @t335 (lambda @t353 (tptp.eps (lambda @t27 (or (and @t351 @t81) (and @t352 @t349)))))))) % 2.42/2.62 (define @t355 () (= @t354 @t340)) % 2.42/2.62 (define @t356 () (not @t355)) % 2.42/2.62 (define @t357 () (= tptp.emptyset @t22)) % 2.42/2.62 (define @t358 () (@var "BOUND_VARIABLE_7920" $$unsorted)) % 2.42/2.62 (define @t359 () (= tptp.emptyset @t358)) % 2.42/2.62 (define @t360 () (@var "BOUND_VARIABLE_56068" $$unsorted)) % 2.42/2.62 (define @t361 () (= tptp.emptyset @t360)) % 2.42/2.62 (define @t362 () (@var "BOUND_VARIABLE_55899" $$unsorted)) % 2.42/2.62 (define @t363 () (_ @t40 @t362)) % 2.42/2.62 (define @t364 () (@var "BOUND_VARIABLE_58280" $$unsorted)) % 2.42/2.62 (define @t365 () (= @t327 @t364)) % 2.42/2.62 (define @t366 () (_ @t49 @t329)) % 2.42/2.62 (define @t367 () (not @t366)) % 2.42/2.62 (define @t368 () (lambda @t332 (or (and @t366 @t365) (and @t367 @t365)))) % 2.42/2.62 (define @t369 () (lambda @t333 (_ tptp.eps @t368))) % 2.42/2.62 (define @t370 () (@var "BOUND_VARIABLE_29066" $$unsorted)) % 2.42/2.62 (define @t371 () (@var "BOUND_VARIABLE_8384" $$unsorted)) % 2.42/2.62 (define @t372 () (_ @t49 @t371)) % 2.42/2.62 (define @t373 () (not @t372)) % 2.42/2.62 (define @t374 () (= @t370 @t364)) % 2.42/2.62 (define @t375 () (@list @t370)) % 2.42/2.62 (define @t376 () (lambda @t375 (or (and @t372 @t374) (and @t373 (= @t370 (_ @t170 @t369)))))) % 2.42/2.62 (define @t377 () (@list @t371)) % 2.42/2.62 (define @t378 () (lambda @t377 (_ tptp.eps @t376))) % 2.42/2.62 (define @t379 () (_ @t170 @t378)) % 2.42/2.62 (define @t380 () (_ tptp.union @t379)) % 2.42/2.62 (define @t381 () (@list @t364)) % 2.42/2.62 (define @t382 () (not (forall @t381 (or (not (_ @t40 @t364)) (_ @t40 @t380))))) % 2.42/2.62 (define @t383 () (not @t195)) % 2.42/2.62 (define @t384 () (not (_ (_ tptp.in @t362) @t53))) % 2.42/2.62 (define @t385 () (@list @t362)) % 2.42/2.62 (define @t386 () (forall @t385 (or @t384 (not (forall @t197 (or @t383 @t382 @t363)))))) % 2.42/2.62 (define @t387 () (@var "BOUND_VARIABLE_7978" $$unsorted)) % 2.42/2.62 (define @t388 () (_ @t40 @t387)) % 2.42/2.62 (define @t389 () (_ tptp.in @t387)) % 2.42/2.62 (define @t390 () (_ @t389 @t53)) % 2.42/2.62 (define @t391 () (@list @t387)) % 2.42/2.62 (define @t392 () (lambda @t391 (and @t390 (forall @t197 (or @t383 @t382 @t388))))) % 2.42/2.62 (define @t393 () (_ tptp.eps @t392)) % 2.42/2.62 (define @t394 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 2.42/2.62 (define @t395 () (@var "BOUND_VARIABLE_8034" $$unsorted)) % 2.42/2.62 (define @t396 () (_ @t40 @t395)) % 2.42/2.62 (define @t397 () (forall @t197 (or @t383 @t382 @t396))) % 2.42/2.62 (define @t398 () (= @t394 @t395)) % 2.42/2.62 (define @t399 () (@list @t394)) % 2.42/2.62 (define @t400 () (lambda @t399 (or (and @t397 @t398) (and (not @t397) (= @t394 @t393))))) % 2.42/2.62 (define @t401 () (_ tptp.eps @t400)) % 2.42/2.62 (define @t402 () (@list @t395)) % 2.42/2.62 (define @t403 () (lambda @t402 @t401)) % 2.42/2.62 (define @t404 () (_ tptp.repl @t53)) % 2.42/2.62 (define @t405 () (_ @t404 @t403)) % 2.42/2.62 (define @t406 () (@list @t360)) % 2.42/2.62 (define @t407 () (lambda @t406 (or (and (not @t386) (= @t360 @t405)) (and @t386 @t361)))) % 2.42/2.62 (define @t408 () (_ tptp.eps @t407)) % 2.42/2.62 (define @t409 () (_ tptp.in @t358)) % 2.42/2.62 (define @t410 () (@list @t358)) % 2.42/2.62 (define @t411 () (forall @t410 (or (not (_ @t409 @t408)) @t359))) % 2.42/2.62 (define @t412 () (not (= tptp.emptyset @t387))) % 2.42/2.62 (define @t413 () (@var "BOUND_VARIABLE_56083" $$unsorted)) % 2.42/2.62 (define @t414 () (= tptp.emptyset @t413)) % 2.42/2.62 (define @t415 () (_ @t40 @t358)) % 2.42/2.62 (define @t416 () (not (_ @t409 @t53))) % 2.42/2.62 (define @t417 () (forall @t410 (or @t416 (not (forall @t197 (or @t383 @t382 @t415)))))) % 2.42/2.62 (define @t418 () (@var "BOUND_VARIABLE_55930" $$unsorted)) % 2.42/2.62 (define @t419 () (_ @t40 @t418)) % 2.42/2.62 (define @t420 () (_ tptp.in @t418)) % 2.42/2.62 (define @t421 () (_ @t420 @t53)) % 2.42/2.62 (define @t422 () (@list @t418)) % 2.42/2.62 (define @t423 () (lambda @t422 (and @t421 (forall @t197 (or @t383 @t382 @t419))))) % 2.42/2.62 (define @t424 () (_ tptp.eps @t423)) % 2.42/2.62 (define @t425 () (@var "BOUND_VARIABLE_55961" $$unsorted)) % 2.42/2.62 (define @t426 () (@var "BOUND_VARIABLE_56010" $$unsorted)) % 2.42/2.62 (define @t427 () (_ @t40 @t426)) % 2.42/2.62 (define @t428 () (forall @t197 (or @t383 @t382 @t427))) % 2.42/2.62 (define @t429 () (= @t425 @t426)) % 2.42/2.62 (define @t430 () (@list @t425)) % 2.42/2.62 (define @t431 () (lambda @t430 (or (and @t428 @t429) (and (not @t428) (= @t425 @t424))))) % 2.42/2.62 (define @t432 () (_ tptp.eps @t431)) % 2.42/2.62 (define @t433 () (@list @t426)) % 2.42/2.62 (define @t434 () (lambda @t433 @t432)) % 2.42/2.62 (define @t435 () (_ @t404 @t434)) % 2.42/2.62 (define @t436 () (not @t417)) % 2.42/2.62 (define @t437 () (@list @t413)) % 2.42/2.62 (define @t438 () (lambda @t437 (or (and @t436 (= @t413 @t435)) (and @t417 @t414)))) % 2.42/2.62 (define @t439 () (_ tptp.eps @t438)) % 2.42/2.62 (define @t440 () (_ @t389 @t439)) % 2.42/2.62 (define @t441 () (lambda @t391 (and @t440 @t412))) % 2.42/2.62 (define @t442 () (_ tptp.eps @t441)) % 2.42/2.62 (define @t443 () (= tptp.emptyset @t395)) % 2.42/2.62 (define @t444 () (and (not @t443) @t398)) % 2.42/2.62 (define @t445 () (lambda @t399 (or @t444 (and @t443 (= @t394 @t442))))) % 2.42/2.62 (define @t446 () (_ tptp.eps @t445)) % 2.42/2.62 (define @t447 () (lambda @t402 @t446)) % 2.42/2.62 (define @t448 () (@var "BOUND_VARIABLE_56103" $$unsorted)) % 2.42/2.62 (define @t449 () (= tptp.emptyset @t448)) % 2.42/2.62 (define @t450 () (@list @t448)) % 2.42/2.62 (define @t451 () (lambda @t450 (or (and @t436 (= @t448 @t405)) (and @t417 @t449)))) % 2.42/2.62 (define @t452 () (_ tptp.eps @t451)) % 2.42/2.62 (define @t453 () (_ (_ tptp.repl @t452) @t447)) % 2.42/2.62 (define @t454 () (lambda @t27 (or (and (not @t411) (= @t22 @t453)) (and @t411 @t357)))) % 2.42/2.62 (define @t455 () (_ @t40 @t362)) % 2.42/2.62 (define @t456 () (and @t331 @t365)) % 2.42/2.62 (define @t457 () (and @t330 @t365)) % 2.42/2.62 (define @t458 () (or @t457 @t456)) % 2.42/2.62 (define @t459 () (lambda @t332 @t458)) % 2.42/2.62 (define @t460 () (tptp.eps @t459)) % 2.42/2.62 (define @t461 () (lambda @t333 @t460)) % 2.42/2.62 (define @t462 () (tptp.repl @t335 @t461)) % 2.42/2.62 (define @t463 () (= @t370 @t462)) % 2.42/2.62 (define @t464 () (tptp.in tptp.emptyset @t371)) % 2.42/2.62 (define @t465 () (not @t464)) % 2.42/2.62 (define @t466 () (and @t465 @t463)) % 2.42/2.62 (define @t467 () (and @t464 @t374)) % 2.42/2.62 (define @t468 () (or @t467 @t466)) % 2.42/2.62 (define @t469 () (lambda @t375 @t468)) % 2.42/2.62 (define @t470 () (tptp.eps @t469)) % 2.42/2.62 (define @t471 () (lambda @t377 @t470)) % 2.42/2.62 (define @t472 () (tptp.repl @t335 @t471)) % 2.42/2.62 (define @t473 () (tptp.union @t472)) % 2.42/2.62 (define @t474 () (_ @t40 @t473)) % 2.42/2.62 (define @t475 () (_ @t40 @t364)) % 2.42/2.62 (define @t476 () (not @t475)) % 2.42/2.62 (define @t477 () (or @t476 @t474)) % 2.42/2.62 (define @t478 () (forall @t381 @t477)) % 2.42/2.62 (define @t479 () (not @t478)) % 2.42/2.62 (define @t480 () (_ @t40 tptp.emptyset)) % 2.42/2.62 (define @t481 () (not @t480)) % 2.42/2.62 (define @t482 () (or @t481 @t479 @t455)) % 2.42/2.62 (define @t483 () (forall @t197 @t482)) % 2.42/2.62 (define @t484 () (not @t483)) % 2.42/2.62 (define @t485 () (tptp.univof tptp.emptyset)) % 2.42/2.62 (define @t486 () (tptp.in @t362 @t485)) % 2.42/2.62 (define @t487 () (not @t486)) % 2.42/2.62 (define @t488 () (or @t487 @t484)) % 2.42/2.62 (define @t489 () (forall @t385 @t488)) % 2.42/2.62 (define @t490 () (and @t489 @t361)) % 2.42/2.62 (define @t491 () (_ @t40 @t387)) % 2.42/2.62 (define @t492 () (or @t481 @t479 @t491)) % 2.42/2.62 (define @t493 () (forall @t197 @t492)) % 2.42/2.62 (define @t494 () (tptp.in @t387 @t485)) % 2.42/2.62 (define @t495 () (and @t494 @t493)) % 2.42/2.62 (define @t496 () (lambda @t391 @t495)) % 2.42/2.62 (define @t497 () (tptp.eps @t496)) % 2.42/2.62 (define @t498 () (= @t394 @t497)) % 2.42/2.62 (define @t499 () (_ @t40 @t395)) % 2.42/2.62 (define @t500 () (or @t481 @t479 @t499)) % 2.42/2.62 (define @t501 () (forall @t197 @t500)) % 2.42/2.62 (define @t502 () (not @t501)) % 2.42/2.62 (define @t503 () (and @t502 @t498)) % 2.42/2.62 (define @t504 () (and @t501 @t398)) % 2.42/2.62 (define @t505 () (or @t504 @t503)) % 2.42/2.62 (define @t506 () (lambda @t399 @t505)) % 2.42/2.62 (define @t507 () (tptp.eps @t506)) % 2.42/2.62 (define @t508 () (lambda @t402 @t507)) % 2.42/2.62 (define @t509 () (tptp.repl @t485 @t508)) % 2.42/2.62 (define @t510 () (= @t360 @t509)) % 2.42/2.62 (define @t511 () (not @t489)) % 2.42/2.62 (define @t512 () (and @t511 @t510)) % 2.42/2.62 (define @t513 () (or @t512 @t490)) % 2.42/2.62 (define @t514 () (lambda @t406 @t513)) % 2.42/2.62 (define @t515 () (tptp.eps @t514)) % 2.42/2.62 (define @t516 () (tptp.in @t358 @t515)) % 2.42/2.62 (define @t517 () (not @t516)) % 2.42/2.62 (define @t518 () (or @t517 @t359)) % 2.42/2.62 (define @t519 () (forall @t410 @t518)) % 2.42/2.62 (define @t520 () (and @t519 @t357)) % 2.42/2.62 (define @t521 () (_ @t40 @t358)) % 2.42/2.62 (define @t522 () (or @t481 @t479 @t521)) % 2.42/2.62 (define @t523 () (forall @t197 @t522)) % 2.42/2.62 (define @t524 () (not @t523)) % 2.42/2.62 (define @t525 () (tptp.in @t358 @t53)) % 2.42/2.62 (define @t526 () (tptp.in @t358 @t485)) % 2.42/2.62 (define @t527 () (not @t526)) % 2.42/2.62 (define @t528 () (or @t527 @t524)) % 2.42/2.62 (define @t529 () (forall @t410 @t528)) % 2.42/2.62 (define @t530 () (and @t529 @t414)) % 2.42/2.62 (define @t531 () (_ @t40 @t418)) % 2.42/2.62 (define @t532 () (or @t481 @t479 @t531)) % 2.42/2.62 (define @t533 () (forall @t197 @t532)) % 2.42/2.62 (define @t534 () (tptp.in @t418 @t485)) % 2.42/2.62 (define @t535 () (and @t534 @t533)) % 2.42/2.62 (define @t536 () (lambda @t422 @t535)) % 2.42/2.62 (define @t537 () (tptp.eps @t536)) % 2.42/2.62 (define @t538 () (= @t425 @t537)) % 2.42/2.62 (define @t539 () (_ @t40 @t426)) % 2.42/2.62 (define @t540 () (or @t481 @t479 @t539)) % 2.42/2.62 (define @t541 () (forall @t197 @t540)) % 2.42/2.62 (define @t542 () (not @t541)) % 2.42/2.62 (define @t543 () (and @t542 @t538)) % 2.42/2.62 (define @t544 () (and @t541 @t429)) % 2.42/2.62 (define @t545 () (or @t544 @t543)) % 2.42/2.62 (define @t546 () (lambda @t430 @t545)) % 2.42/2.62 (define @t547 () (tptp.eps @t546)) % 2.42/2.62 (define @t548 () (lambda @t433 @t547)) % 2.42/2.62 (define @t549 () (tptp.repl @t485 @t548)) % 2.42/2.62 (define @t550 () (= @t413 @t549)) % 2.42/2.62 (define @t551 () (not @t529)) % 2.42/2.62 (define @t552 () (and @t551 @t550)) % 2.42/2.62 (define @t553 () (or @t552 @t530)) % 2.42/2.62 (define @t554 () (lambda @t437 @t553)) % 2.42/2.62 (define @t555 () (tptp.eps @t554)) % 2.42/2.62 (define @t556 () (tptp.in @t387 @t555)) % 2.42/2.62 (define @t557 () (and @t556 @t412)) % 2.42/2.63 (define @t558 () (lambda @t391 @t557)) % 2.42/2.63 (define @t559 () (tptp.eps @t558)) % 2.42/2.63 (define @t560 () (= @t394 @t559)) % 2.42/2.63 (define @t561 () (and @t443 @t560)) % 2.42/2.63 (define @t562 () (or @t444 @t561)) % 2.42/2.63 (define @t563 () (lambda @t399 @t562)) % 2.42/2.63 (define @t564 () (tptp.eps @t563)) % 2.42/2.63 (define @t565 () (lambda @t402 @t564)) % 2.42/2.63 (define @t566 () (and @t529 @t449)) % 2.42/2.63 (define @t567 () (= @t448 @t509)) % 2.42/2.63 (define @t568 () (and @t551 @t567)) % 2.42/2.63 (define @t569 () (or @t568 @t566)) % 2.42/2.63 (define @t570 () (lambda @t450 @t569)) % 2.42/2.63 (define @t571 () (tptp.eps @t570)) % 2.42/2.63 (define @t572 () (tptp.repl @t571 @t565)) % 2.42/2.63 (define @t573 () (= @t22 @t572)) % 2.42/2.63 (define @t574 () (not @t519)) % 2.42/2.63 (define @t575 () (and @t574 @t573)) % 2.42/2.63 (define @t576 () (or @t575 @t520)) % 2.42/2.63 (define @t577 () (lambda @t27 @t576)) % 2.42/2.63 (define @t578 () (tptp.eps @t577)) % 2.42/2.63 (define @t579 () (_ tptp.repl @t485)) % 2.42/2.63 (define @t580 () (and @t421 @t533)) % 2.42/2.63 (define @t581 () (lambda @t422 @t580)) % 2.42/2.63 (define @t582 () (_ tptp.eps @t581)) % 2.42/2.63 (define @t583 () (= @t425 @t582)) % 2.42/2.63 (define @t584 () (and @t542 @t583)) % 2.42/2.63 (define @t585 () (or @t544 @t584)) % 2.42/2.63 (define @t586 () (lambda @t430 @t585)) % 2.42/2.63 (define @t587 () (lambda @t433 (_ tptp.eps @t586))) % 2.42/2.63 (define @t588 () (_ @t404 @t587)) % 2.42/2.63 (define @t589 () (= @t413 @t588)) % 2.42/2.63 (define @t590 () (and @t551 @t589)) % 2.42/2.63 (define @t591 () (or @t590 @t530)) % 2.42/2.63 (define @t592 () (lambda @t437 @t591)) % 2.42/2.63 (define @t593 () (and (_ @t389 (_ tptp.eps @t592)) @t412)) % 2.42/2.63 (define @t594 () (lambda @t391 @t593)) % 2.42/2.63 (define @t595 () (= @t394 (_ tptp.eps @t594))) % 2.42/2.63 (define @t596 () (and @t443 @t595)) % 2.42/2.63 (define @t597 () (or @t444 @t596)) % 2.42/2.63 (define @t598 () (lambda @t399 @t597)) % 2.42/2.63 (define @t599 () (lambda @t402 (_ tptp.eps @t598))) % 2.42/2.63 (define @t600 () (and @t390 @t493)) % 2.42/2.63 (define @t601 () (lambda @t391 @t600)) % 2.42/2.63 (define @t602 () (= @t394 (_ tptp.eps @t601))) % 2.42/2.63 (define @t603 () (and @t502 @t602)) % 2.42/2.63 (define @t604 () (or @t504 @t603)) % 2.42/2.63 (define @t605 () (lambda @t399 @t604)) % 2.42/2.63 (define @t606 () (lambda @t402 (_ tptp.eps @t605))) % 2.42/2.63 (define @t607 () (_ @t404 @t606)) % 2.42/2.63 (define @t608 () (= @t448 @t607)) % 2.42/2.63 (define @t609 () (and @t551 @t608)) % 2.42/2.63 (define @t610 () (or @t609 @t566)) % 2.42/2.63 (define @t611 () (lambda @t450 @t610)) % 2.42/2.63 (define @t612 () (= @t22 (_ (_ tptp.repl (_ tptp.eps @t611)) @t599))) % 2.42/2.63 (define @t613 () (and @t574 @t612)) % 2.42/2.63 (define @t614 () (or @t613 @t520)) % 2.42/2.63 (define @t615 () (lambda @t27 @t614)) % 2.42/2.63 (define @t616 () (_ tptp.eps @t615)) % 2.42/2.63 (define @t617 () (tptp.in @t325 @t616)) % 2.42/2.63 (define @t618 () (not @t617)) % 2.42/2.63 (define @t619 () (tptp.in @t9 @t616)) % 2.42/2.63 (define @t620 () (not @t619)) % 2.42/2.63 (define @t621 () (or @t620 @t618 @t356 @t326)) % 2.42/2.63 (define @t622 () (@list @t9 @t325)) % 2.42/2.63 (define @t623 () (= @t364 @t327)) % 2.42/2.63 (define @t624 () (and @t331 @t623)) % 2.42/2.63 (define @t625 () (and @t330 @t623)) % 2.42/2.63 (define @t626 () (or @t625 @t624)) % 2.42/2.63 (define @t627 () (lambda @t332 @t626)) % 2.42/2.63 (define @t628 () (tptp.eps @t627)) % 2.42/2.63 (define @t629 () (lambda @t333 @t628)) % 2.42/2.63 (define @t630 () (tptp.repl @t335 @t629)) % 2.42/2.63 (define @t631 () (= @t630 @t370)) % 2.42/2.63 (define @t632 () (and @t465 @t631)) % 2.42/2.63 (define @t633 () (and @t464 (= @t364 @t370))) % 2.42/2.63 (define @t634 () (or @t633 @t632)) % 2.42/2.63 (define @t635 () (lambda @t375 @t634)) % 2.42/2.63 (define @t636 () (tptp.eps @t635)) % 2.42/2.63 (define @t637 () (lambda @t377 @t636)) % 2.42/2.63 (define @t638 () (tptp.repl @t335 @t637)) % 2.42/2.63 (define @t639 () (tptp.union @t638)) % 2.42/2.63 (define @t640 () (_ @t40 @t639)) % 2.42/2.63 (define @t641 () (or @t476 @t640)) % 2.42/2.63 (define @t642 () (forall @t381 @t641)) % 2.42/2.63 (define @t643 () (not @t642)) % 2.42/2.63 (define @t644 () (or @t481 @t643 @t455)) % 2.42/2.63 (define @t645 () (forall @t197 @t644)) % 2.42/2.63 (define @t646 () (not @t645)) % 2.42/2.63 (define @t647 () (or @t487 @t646)) % 2.42/2.63 (define @t648 () (forall @t385 @t647)) % 2.42/2.63 (define @t649 () (and @t648 @t361)) % 2.42/2.63 (define @t650 () (or @t481 @t643 @t491)) % 2.42/2.63 (define @t651 () (forall @t197 @t650)) % 2.42/2.63 (define @t652 () (and @t494 @t651)) % 2.42/2.63 (define @t653 () (lambda @t391 @t652)) % 2.42/2.63 (define @t654 () (tptp.eps @t653)) % 2.42/2.63 (define @t655 () (= @t394 @t654)) % 2.42/2.63 (define @t656 () (or @t481 @t643 @t499)) % 2.42/2.63 (define @t657 () (forall @t197 @t656)) % 2.42/2.63 (define @t658 () (not @t657)) % 2.42/2.63 (define @t659 () (and @t658 @t655)) % 2.42/2.63 (define @t660 () (and @t657 @t398)) % 2.42/2.63 (define @t661 () (or @t660 @t659)) % 2.42/2.63 (define @t662 () (lambda @t399 @t661)) % 2.42/2.63 (define @t663 () (tptp.eps @t662)) % 2.42/2.63 (define @t664 () (lambda @t402 @t663)) % 2.42/2.63 (define @t665 () (tptp.repl @t485 @t664)) % 2.42/2.63 (define @t666 () (= @t665 @t360)) % 2.42/2.63 (define @t667 () (not @t648)) % 2.42/2.63 (define @t668 () (and @t667 @t666)) % 2.42/2.63 (define @t669 () (or @t668 @t649)) % 2.42/2.63 (define @t670 () (lambda @t406 @t669)) % 2.42/2.63 (define @t671 () (tptp.eps @t670)) % 2.42/2.63 (define @t672 () (tptp.in @t358 @t671)) % 2.42/2.63 (define @t673 () (not @t672)) % 2.42/2.63 (define @t674 () (or @t673 @t359)) % 2.42/2.63 (define @t675 () (forall @t410 @t674)) % 2.42/2.63 (define @t676 () (and @t675 @t357)) % 2.42/2.63 (define @t677 () (or @t481 @t643 @t521)) % 2.42/2.63 (define @t678 () (forall @t197 @t677)) % 2.42/2.63 (define @t679 () (not @t678)) % 2.42/2.63 (define @t680 () (or @t527 @t679)) % 2.42/2.63 (define @t681 () (forall @t410 @t680)) % 2.42/2.63 (define @t682 () (and @t681 @t414)) % 2.42/2.63 (define @t683 () (or @t481 @t643 @t531)) % 2.42/2.63 (define @t684 () (forall @t197 @t683)) % 2.42/2.63 (define @t685 () (and @t421 @t684)) % 2.42/2.63 (define @t686 () (lambda @t422 @t685)) % 2.42/2.63 (define @t687 () (= (_ tptp.eps @t686) @t425)) % 2.42/2.63 (define @t688 () (or @t481 @t643 @t539)) % 2.42/2.63 (define @t689 () (forall @t197 @t688)) % 2.42/2.63 (define @t690 () (not @t689)) % 2.42/2.63 (define @t691 () (and @t690 @t687)) % 2.42/2.63 (define @t692 () (and @t689 @t429)) % 2.42/2.63 (define @t693 () (or @t692 @t691)) % 2.42/2.63 (define @t694 () (lambda @t430 @t693)) % 2.42/2.63 (define @t695 () (lambda @t433 (_ tptp.eps @t694))) % 2.42/2.63 (define @t696 () (= (_ @t404 @t695) @t413)) % 2.42/2.63 (define @t697 () (not @t681)) % 2.42/2.63 (define @t698 () (and @t697 @t696)) % 2.42/2.63 (define @t699 () (or @t698 @t682)) % 2.42/2.63 (define @t700 () (lambda @t437 @t699)) % 2.42/2.63 (define @t701 () (and (_ @t389 (_ tptp.eps @t700)) @t412)) % 2.42/2.63 (define @t702 () (lambda @t391 @t701)) % 2.42/2.63 (define @t703 () (= @t394 (_ tptp.eps @t702))) % 2.42/2.63 (define @t704 () (and @t443 @t703)) % 2.42/2.63 (define @t705 () (or @t444 @t704)) % 2.42/2.63 (define @t706 () (lambda @t399 @t705)) % 2.42/2.63 (define @t707 () (lambda @t402 (_ tptp.eps @t706))) % 2.42/2.63 (define @t708 () (and @t681 @t449)) % 2.42/2.63 (define @t709 () (and @t390 @t651)) % 2.42/2.63 (define @t710 () (lambda @t391 @t709)) % 2.42/2.63 (define @t711 () (= @t394 (_ tptp.eps @t710))) % 2.42/2.63 (define @t712 () (and @t658 @t711)) % 2.42/2.63 (define @t713 () (or @t660 @t712)) % 2.42/2.63 (define @t714 () (lambda @t399 @t713)) % 2.42/2.63 (define @t715 () (lambda @t402 (_ tptp.eps @t714))) % 2.42/2.63 (define @t716 () (= (_ @t404 @t715) @t448)) % 2.42/2.63 (define @t717 () (and @t697 @t716)) % 2.42/2.63 (define @t718 () (or @t717 @t708)) % 2.42/2.63 (define @t719 () (lambda @t450 @t718)) % 2.42/2.63 (define @t720 () (= @t22 (_ (_ tptp.repl (_ tptp.eps @t719)) @t707))) % 2.42/2.63 (define @t721 () (not @t675)) % 2.42/2.63 (define @t722 () (and @t721 @t720)) % 2.42/2.63 (define @t723 () (or @t722 @t676)) % 2.42/2.63 (define @t724 () (lambda @t27 @t723)) % 2.42/2.63 (define @t725 () (_ tptp.eps @t724)) % 2.42/2.63 (define @t726 () (tptp.in @t325 @t725)) % 2.42/2.63 (define @t727 () (not @t726)) % 2.42/2.63 (define @t728 () (tptp.in @t9 @t725)) % 2.42/2.63 (define @t729 () (not @t728)) % 2.42/2.63 (define @t730 () (or @t729 @t727 @t356 @t326)) % 2.42/2.63 (define @t731 () (= @t348 @t370)) % 2.42/2.63 (define @t732 () (and @t465 @t731)) % 2.42/2.63 (define @t733 () (= @t9 @t370)) % 2.42/2.63 (define @t734 () (and @t464 @t733)) % 2.42/2.63 (define @t735 () (or @t734 @t732)) % 2.42/2.63 (define @t736 () (lambda @t375 @t735)) % 2.42/2.63 (define @t737 () (tptp.eps @t736)) % 2.42/2.63 (define @t738 () (lambda @t377 @t737)) % 2.42/2.63 (define @t739 () (tptp.repl @t335 @t738)) % 2.42/2.63 (define @t740 () (tptp.union @t739)) % 2.42/2.63 (define @t741 () (_ @t40 @t740)) % 2.42/2.63 (define @t742 () (_ @t40 @t9)) % 2.42/2.63 (define @t743 () (not @t742)) % 2.42/2.63 (define @t744 () (or @t743 @t741)) % 2.42/2.63 (define @t745 () (forall @t13 @t744)) % 2.42/2.63 (define @t746 () (@list @t9)) % 2.42/2.63 (define @t747 () (not @t745)) % 2.42/2.63 (define @t748 () (or @t481 @t747 @t455)) % 2.42/2.63 (define @t749 () (forall @t197 @t748)) % 2.42/2.63 (define @t750 () (not @t749)) % 2.42/2.63 (define @t751 () (or @t487 @t750)) % 2.42/2.63 (define @t752 () (forall @t385 @t751)) % 2.42/2.63 (define @t753 () (and @t752 @t361)) % 2.42/2.63 (define @t754 () (or @t481 @t747 @t491)) % 2.42/2.63 (define @t755 () (forall @t197 @t754)) % 2.42/2.63 (define @t756 () (and @t494 @t755)) % 2.42/2.63 (define @t757 () (lambda @t391 @t756)) % 2.42/2.63 (define @t758 () (tptp.eps @t757)) % 2.42/2.63 (define @t759 () (= @t394 @t758)) % 2.42/2.63 (define @t760 () (or @t481 @t747 @t499)) % 2.42/2.63 (define @t761 () (forall @t197 @t760)) % 2.42/2.63 (define @t762 () (not @t761)) % 2.42/2.63 (define @t763 () (and @t762 @t759)) % 2.42/2.63 (define @t764 () (and @t761 @t398)) % 2.42/2.63 (define @t765 () (or @t764 @t763)) % 2.42/2.63 (define @t766 () (lambda @t399 @t765)) % 2.42/2.63 (define @t767 () (tptp.eps @t766)) % 2.42/2.63 (define @t768 () (lambda @t402 @t767)) % 2.42/2.63 (define @t769 () (tptp.repl @t485 @t768)) % 2.42/2.63 (define @t770 () (= @t769 @t360)) % 2.42/2.63 (define @t771 () (not @t752)) % 2.42/2.63 (define @t772 () (and @t771 @t770)) % 2.42/2.63 (define @t773 () (or @t772 @t753)) % 2.42/2.63 (define @t774 () (lambda @t406 @t773)) % 2.42/2.63 (define @t775 () (tptp.eps @t774)) % 2.42/2.63 (define @t776 () (tptp.in @t358 @t775)) % 2.42/2.63 (define @t777 () (not @t776)) % 2.42/2.63 (define @t778 () (or @t777 @t359)) % 2.42/2.63 (define @t779 () (forall @t410 @t778)) % 2.42/2.63 (define @t780 () (and @t779 @t357)) % 2.42/2.63 (define @t781 () (or @t481 @t747 @t521)) % 2.42/2.63 (define @t782 () (forall @t197 @t781)) % 2.42/2.63 (define @t783 () (not @t782)) % 2.42/2.63 (define @t784 () (or @t527 @t783)) % 2.42/2.63 (define @t785 () (forall @t410 @t784)) % 2.42/2.63 (define @t786 () (and @t785 @t414)) % 2.42/2.63 (define @t787 () (or @t481 @t747 @t531)) % 2.42/2.63 (define @t788 () (forall @t197 @t787)) % 2.42/2.63 (define @t789 () (and @t421 @t788)) % 2.42/2.63 (define @t790 () (lambda @t422 @t789)) % 2.42/2.63 (define @t791 () (_ tptp.eps @t790)) % 2.42/2.63 (define @t792 () (= @t791 @t425)) % 2.42/2.63 (define @t793 () (or @t481 @t747 @t539)) % 2.42/2.63 (define @t794 () (forall @t197 @t793)) % 2.42/2.63 (define @t795 () (not @t794)) % 2.42/2.63 (define @t796 () (and @t795 @t792)) % 2.42/2.63 (define @t797 () (and @t794 @t429)) % 2.42/2.63 (define @t798 () (or @t797 @t796)) % 2.42/2.63 (define @t799 () (lambda @t430 @t798)) % 2.42/2.63 (define @t800 () (lambda @t433 (_ tptp.eps @t799))) % 2.42/2.63 (define @t801 () (_ @t404 @t800)) % 2.42/2.63 (define @t802 () (= @t801 @t413)) % 2.42/2.63 (define @t803 () (not @t785)) % 2.42/2.63 (define @t804 () (and @t803 @t802)) % 2.42/2.63 (define @t805 () (or @t804 @t786)) % 2.42/2.63 (define @t806 () (lambda @t437 @t805)) % 2.42/2.63 (define @t807 () (and (_ @t389 (_ tptp.eps @t806)) @t412)) % 2.42/2.63 (define @t808 () (lambda @t391 @t807)) % 2.42/2.63 (define @t809 () (= @t394 (_ tptp.eps @t808))) % 2.42/2.63 (define @t810 () (and @t443 @t809)) % 2.42/2.63 (define @t811 () (or @t444 @t810)) % 2.42/2.63 (define @t812 () (lambda @t399 @t811)) % 2.42/2.63 (define @t813 () (lambda @t402 (_ tptp.eps @t812))) % 2.42/2.63 (define @t814 () (and @t785 @t449)) % 2.42/2.63 (define @t815 () (and @t390 @t755)) % 2.42/2.63 (define @t816 () (lambda @t391 @t815)) % 2.42/2.63 (define @t817 () (= @t394 (_ tptp.eps @t816))) % 2.42/2.63 (define @t818 () (and @t762 @t817)) % 2.42/2.63 (define @t819 () (or @t764 @t818)) % 2.42/2.63 (define @t820 () (lambda @t399 @t819)) % 2.42/2.63 (define @t821 () (lambda @t402 (_ tptp.eps @t820))) % 2.42/2.63 (define @t822 () (_ @t404 @t821)) % 2.42/2.63 (define @t823 () (= @t822 @t448)) % 2.42/2.63 (define @t824 () (and @t803 @t823)) % 2.42/2.63 (define @t825 () (or @t824 @t814)) % 2.42/2.63 (define @t826 () (lambda @t450 @t825)) % 2.42/2.63 (define @t827 () (= @t22 (_ (_ tptp.repl (_ tptp.eps @t826)) @t813))) % 2.42/2.63 (define @t828 () (not @t779)) % 2.42/2.63 (define @t829 () (and @t828 @t827)) % 2.42/2.63 (define @t830 () (or @t829 @t780)) % 2.42/2.63 (define @t831 () (lambda @t27 @t830)) % 2.42/2.63 (define @t832 () (_ tptp.eps @t831)) % 2.42/2.63 (define @t833 () (tptp.in @t325 @t832)) % 2.42/2.63 (define @t834 () (not @t833)) % 2.42/2.63 (define @t835 () (tptp.in @t9 @t832)) % 2.42/2.63 (define @t836 () (not @t835)) % 2.42/2.63 (define @t837 () (or @t836 @t834 @t356 @t326)) % 2.42/2.63 (define @t838 () (lambda (@list @t241 @t240) @t242)) % 2.42/2.63 (define @t839 () (_ @t838 @t9 @t325)) % 2.42/2.63 (define @t840 () (_ @t838 @t354 @t340)) % 2.42/2.63 (define @t841 () (not @t840)) % 2.42/2.63 (define @t842 () (or @t836 @t834 @t841 @t839)) % 2.42/2.63 (define @t843 () (_ @t243 tptp.nat)) % 2.42/2.63 (define @t844 () (not (tptp.n_is @t354 @t340))) % 2.42/2.63 (define @t845 () (and @t771 (= @t360 @t769))) % 2.42/2.63 (define @t846 () (or @t845 @t753)) % 2.42/2.63 (define @t847 () (lambda @t406 @t846)) % 2.42/2.63 (define @t848 () (tptp.eps @t847)) % 2.42/2.63 (define @t849 () (tptp.in @t358 @t848)) % 2.42/2.63 (define @t850 () (not @t849)) % 2.42/2.63 (define @t851 () (or @t850 @t359)) % 2.42/2.63 (define @t852 () (forall @t410 @t851)) % 2.42/2.63 (define @t853 () (and @t852 @t357)) % 2.42/2.63 (define @t854 () (and @t803 (= @t413 @t801))) % 2.42/2.63 (define @t855 () (or @t854 @t786)) % 2.42/2.63 (define @t856 () (lambda @t437 @t855)) % 2.42/2.63 (define @t857 () (and (_ @t389 (_ tptp.eps @t856)) @t412)) % 2.42/2.63 (define @t858 () (lambda @t391 @t857)) % 2.42/2.63 (define @t859 () (= @t394 (_ tptp.eps @t858))) % 2.42/2.63 (define @t860 () (and @t443 @t859)) % 2.42/2.63 (define @t861 () (or @t444 @t860)) % 2.42/2.63 (define @t862 () (lambda @t399 @t861)) % 2.42/2.63 (define @t863 () (lambda @t402 (_ tptp.eps @t862))) % 2.42/2.63 (define @t864 () (and @t803 (= @t448 @t822))) % 2.42/2.63 (define @t865 () (or @t864 @t814)) % 2.42/2.63 (define @t866 () (lambda @t450 @t865)) % 2.42/2.63 (define @t867 () (= @t22 (_ (_ tptp.repl (_ tptp.eps @t866)) @t863))) % 2.42/2.63 (define @t868 () (not @t852)) % 2.42/2.63 (define @t869 () (and @t868 @t867)) % 2.42/2.63 (define @t870 () (or @t869 @t853)) % 2.42/2.63 (define @t871 () (lambda @t27 @t870)) % 2.42/2.63 (define @t872 () (and @t752 @t357)) % 2.42/2.63 (define @t873 () (= @t22 @t769)) % 2.42/2.63 (define @t874 () (and @t771 @t873)) % 2.42/2.63 (define @t875 () (or @t874 @t872)) % 2.42/2.63 (define @t876 () (lambda @t27 @t875)) % 2.42/2.63 (define @t877 () (tptp.eps @t876)) % 2.42/2.63 (define @t878 () (forall @t410 (or (not (tptp.in @t358 @t877)) @t359))) % 2.42/2.63 (define @t879 () (and @t785 @t357)) % 2.42/2.63 (define @t880 () (= @t22 @t822)) % 2.42/2.63 (define @t881 () (and @t803 @t880)) % 2.42/2.63 (define @t882 () (or @t881 @t879)) % 2.42/2.63 (define @t883 () (lambda @t27 @t882)) % 2.42/2.63 (define @t884 () (_ tptp.eps @t883)) % 2.42/2.63 (define @t885 () (_ tptp.repl @t884)) % 2.42/2.63 (define @t886 () (and @t367 @t341)) % 2.42/2.63 (define @t887 () (and @t366 @t341)) % 2.42/2.63 (define @t888 () (or @t887 @t886)) % 2.42/2.63 (define @t889 () (lambda @t332 @t888)) % 2.42/2.63 (define @t890 () (_ tptp.eps @t889)) % 2.42/2.63 (define @t891 () (lambda @t333 @t890)) % 2.42/2.63 (define @t892 () (_ @t170 @t891)) % 2.42/2.63 (define @t893 () (lambda @t375 (or (and @t372 @t733) (and @t373 (= @t892 @t370))))) % 2.42/2.63 (define @t894 () (lambda @t377 (_ tptp.eps @t893))) % 2.42/2.63 (define @t895 () (_ @t170 @t894)) % 2.42/2.63 (define @t896 () (_ tptp.union @t895)) % 2.42/2.63 (define @t897 () (not @t44)) % 2.42/2.63 (define @t898 () (not (forall @t13 (or @t897 (_ @t40 @t896))))) % 2.42/2.63 (define @t899 () (forall @t385 (or @t384 (not (forall @t197 (or @t383 @t898 @t363)))))) % 2.42/2.63 (define @t900 () (lambda @t391 (and @t390 (forall @t197 (or @t383 @t898 @t388))))) % 2.42/2.63 (define @t901 () (_ tptp.eps @t900)) % 2.42/2.63 (define @t902 () (forall @t197 (or @t383 @t898 @t396))) % 2.42/2.63 (define @t903 () (lambda @t399 (or (and @t902 @t398) (and (not @t902) (= @t394 @t901))))) % 2.42/2.63 (define @t904 () (_ tptp.eps @t903)) % 2.42/2.63 (define @t905 () (lambda @t402 @t904)) % 2.42/2.63 (define @t906 () (_ @t404 @t905)) % 2.42/2.63 (define @t907 () (lambda @t27 (or (and (not @t899) (= @t22 @t906)) (and @t899 @t357)))) % 2.42/2.63 (define @t908 () (and @t771 @t880)) % 2.42/2.63 (define @t909 () (or @t908 @t872)) % 2.42/2.63 (define @t910 () (lambda @t27 @t909)) % 2.42/2.63 (define @t911 () (tptp.in @t358 (_ tptp.eps @t910))) % 2.42/2.63 (define @t912 () (not @t911)) % 2.42/2.63 (define @t913 () (or @t912 @t359)) % 2.42/2.63 (define @t914 () (tptp.in @t358 @t884)) % 2.42/2.63 (define @t915 () (not @t914)) % 2.42/2.63 (define @t916 () (or @t915 @t359)) % 2.42/2.63 (define @t917 () (forall @t410 @t916)) % 2.42/2.63 (define @t918 () (and @t917 @t357)) % 2.42/2.63 (define @t919 () (and @t794 (= @t426 @t425))) % 2.42/2.63 (define @t920 () (or @t919 @t796)) % 2.42/2.63 (define @t921 () (lambda @t430 @t920)) % 2.42/2.63 (define @t922 () (lambda @t433 (_ tptp.eps @t921))) % 2.42/2.63 (define @t923 () (= @t22 (_ @t404 @t922))) % 2.42/2.63 (define @t924 () (and @t803 @t923)) % 2.42/2.63 (define @t925 () (or @t924 @t879)) % 2.42/2.63 (define @t926 () (lambda @t27 @t925)) % 2.42/2.63 (define @t927 () (and (_ @t389 (_ tptp.eps @t926)) @t412)) % 2.42/2.63 (define @t928 () (lambda @t391 @t927)) % 2.42/2.63 (define @t929 () (= @t394 (_ tptp.eps @t928))) % 2.42/2.63 (define @t930 () (and @t443 @t929)) % 2.42/2.63 (define @t931 () (or @t444 @t930)) % 2.42/2.63 (define @t932 () (lambda @t399 @t931)) % 2.42/2.63 (define @t933 () (lambda @t402 (_ tptp.eps @t932))) % 2.42/2.63 (define @t934 () (and @t762 (= @t425 @t791))) % 2.42/2.63 (define @t935 () (and @t761 (= @t425 @t395))) % 2.42/2.63 (define @t936 () (or @t935 @t934)) % 2.42/2.63 (define @t937 () (lambda @t430 @t936)) % 2.42/2.63 (define @t938 () (lambda @t402 (_ tptp.eps @t937))) % 2.42/2.63 (define @t939 () (= @t22 (_ @t404 @t938))) % 2.42/2.63 (define @t940 () (and @t803 @t939)) % 2.42/2.63 (define @t941 () (or @t940 @t879)) % 2.42/2.63 (define @t942 () (lambda @t27 @t941)) % 2.42/2.63 (define @t943 () (and (_ @t389 (_ tptp.eps @t942)) @t412)) % 2.42/2.63 (define @t944 () (lambda @t391 @t943)) % 2.42/2.63 (define @t945 () (= @t394 (_ tptp.eps @t944))) % 2.42/2.63 (define @t946 () (and @t443 @t945)) % 2.42/2.63 (define @t947 () (or @t444 @t946)) % 2.42/2.63 (define @t948 () (lambda @t399 @t947)) % 2.42/2.63 (define @t949 () (lambda @t391 (and (_ @t389 (_ tptp.eps (lambda @t27 (or (and @t803 (= @t22 (_ @t404 (lambda @t402 (_ tptp.eps (lambda @t399 (or @t764 (and @t762 (= @t394 @t791))))))))) @t879)))) @t412))) % 2.42/2.63 (define @t950 () (lambda @t391 (and (_ @t389 @t884) @t412))) % 2.42/2.63 (define @t951 () (= @t394 (_ tptp.eps @t950))) % 2.42/2.63 (define @t952 () (and @t443 @t951)) % 2.42/2.63 (define @t953 () (or @t444 @t952)) % 2.42/2.63 (define @t954 () (lambda @t399 @t953)) % 2.42/2.63 (define @t955 () (lambda @t402 (_ tptp.eps @t954))) % 2.42/2.63 (define @t956 () (= @t22 (_ @t885 @t955))) % 2.42/2.63 (define @t957 () (not @t917)) % 2.42/2.63 (define @t958 () (and @t957 @t956)) % 2.42/2.63 (define @t959 () (or @t958 @t918)) % 2.42/2.63 (define @t960 () (lambda @t27 @t959)) % 2.42/2.63 (define @t961 () (and @t465 (= @t370 @t348))) % 2.42/2.63 (define @t962 () (or @t734 @t961)) % 2.42/2.63 (define @t963 () (lambda @t375 @t962)) % 2.42/2.63 (define @t964 () (tptp.eps @t963)) % 2.42/2.63 (define @t965 () (lambda @t377 @t964)) % 2.42/2.63 (define @t966 () (tptp.repl @t335 @t965)) % 2.42/2.63 (define @t967 () (tptp.union @t966)) % 2.42/2.63 (define @t968 () (_ @t40 @t967)) % 2.42/2.63 (define @t969 () (or @t743 @t968)) % 2.42/2.63 (define @t970 () (forall @t13 @t969)) % 2.42/2.63 (define @t971 () (not @t970)) % 2.42/2.63 (define @t972 () (or @t481 @t971 @t521)) % 2.42/2.63 (define @t973 () (forall @t197 @t972)) % 2.42/2.63 (define @t974 () (not @t973)) % 2.42/2.63 (define @t975 () (or @t527 @t974)) % 2.42/2.63 (define @t976 () (forall @t410 @t975)) % 2.42/2.63 (define @t977 () (and @t976 @t357)) % 2.42/2.63 (define @t978 () (or @t481 @t971 @t491)) % 2.42/2.63 (define @t979 () (forall @t197 @t978)) % 2.42/2.63 (define @t980 () (and @t390 @t979)) % 2.42/2.63 (define @t981 () (lambda @t391 @t980)) % 2.42/2.63 (define @t982 () (= @t394 (_ tptp.eps @t981))) % 2.42/2.63 (define @t983 () (or @t481 @t971 @t499)) % 2.42/2.63 (define @t984 () (forall @t197 @t983)) % 2.42/2.63 (define @t985 () (not @t984)) % 2.42/2.63 (define @t986 () (and @t985 @t982)) % 2.42/2.63 (define @t987 () (and @t984 @t398)) % 2.42/2.63 (define @t988 () (or @t987 @t986)) % 2.42/2.63 (define @t989 () (lambda @t399 @t988)) % 2.42/2.63 (define @t990 () (lambda @t402 (_ tptp.eps @t989))) % 2.42/2.63 (define @t991 () (= @t22 (_ @t404 @t990))) % 2.42/2.63 (define @t992 () (not @t976)) % 2.42/2.63 (define @t993 () (and @t992 @t991)) % 2.42/2.63 (define @t994 () (or @t993 @t977)) % 2.42/2.63 (define @t995 () (lambda @t27 @t994)) % 2.42/2.63 (define @t996 () (and @t465 @t349)) % 2.42/2.63 (define @t997 () (and @t464 @t81)) % 2.42/2.63 (define @t998 () (or @t997 @t996)) % 2.42/2.63 (define @t999 () (lambda @t27 @t998)) % 2.42/2.63 (define @t1000 () (tptp.eps @t999)) % 2.42/2.63 (define @t1001 () (lambda @t377 @t1000)) % 2.42/2.63 (define @t1002 () (tptp.repl @t335 @t1001)) % 2.42/2.63 (define @t1003 () (tptp.union @t1002)) % 2.42/2.63 (define @t1004 () (_ @t40 @t1003)) % 2.42/2.63 (define @t1005 () (forall @t13 (or @t743 @t1004))) % 2.42/2.63 (define @t1006 () (not @t1005)) % 2.42/2.63 (define @t1007 () (forall @t197 (or @t481 @t1006 @t521))) % 2.42/2.63 (define @t1008 () (forall @t410 (or @t527 (not @t1007)))) % 2.42/2.63 (define @t1009 () (forall @t197 (or @t481 @t1006 @t491))) % 2.42/2.63 (define @t1010 () (forall @t197 (or @t481 @t1006 @t499))) % 2.42/2.63 (define @t1011 () (_ @t40 @t2)) % 2.42/2.63 (define @t1012 () (lambda @t16 (forall @t197 (or @t481 @t1006 @t1011)))) % 2.42/2.63 (define @t1013 () (_ @t1012 @t358)) % 2.42/2.63 (define @t1014 () (not @t1013)) % 2.42/2.63 (define @t1015 () (or @t527 @t1014)) % 2.42/2.63 (define @t1016 () (forall @t410 @t1015)) % 2.42/2.63 (define @t1017 () (and @t1016 @t357)) % 2.42/2.63 (define @t1018 () (_ @t1012 @t387)) % 2.42/2.63 (define @t1019 () (and @t390 @t1018)) % 2.42/2.63 (define @t1020 () (lambda @t391 @t1019)) % 2.42/2.63 (define @t1021 () (= @t394 (_ tptp.eps @t1020))) % 2.42/2.63 (define @t1022 () (_ @t1012 @t395)) % 2.42/2.63 (define @t1023 () (not @t1022)) % 2.42/2.63 (define @t1024 () (and @t1023 @t1021)) % 2.42/2.63 (define @t1025 () (and @t1022 @t398)) % 2.42/2.63 (define @t1026 () (or @t1025 @t1024)) % 2.42/2.63 (define @t1027 () (lambda @t399 @t1026)) % 2.42/2.63 (define @t1028 () (lambda @t402 (_ tptp.eps @t1027))) % 2.42/2.63 (define @t1029 () (= @t22 (_ @t404 @t1028))) % 2.42/2.63 (define @t1030 () (not @t1016)) % 2.42/2.63 (define @t1031 () (and @t1030 @t1029)) % 2.42/2.63 (define @t1032 () (or @t1031 @t1017)) % 2.42/2.63 (define @t1033 () (lambda @t27 @t1032)) % 2.42/2.63 (define @t1034 () (not @t521)) % 2.42/2.63 (define @t1035 () (forall @t410 (or @t527 @t1034))) % 2.42/2.63 (define @t1036 () (_ tptp.eps (lambda @t391 (and @t390 @t388)))) % 2.42/2.63 (define @t1037 () (not @t396)) % 2.42/2.63 (define @t1038 () (and @t396 @t398)) % 2.42/2.63 (define @t1039 () (not @t525)) % 2.42/2.63 (define @t1040 () (or @t1039 @t1034)) % 2.42/2.63 (define @t1041 () (forall @t410 @t1040)) % 2.42/2.63 (define @t1042 () (and @t1041 @t357)) % 2.42/2.63 (define @t1043 () (and @t1037 (= @t1036 @t394))) % 2.42/2.63 (define @t1044 () (or @t1038 @t1043)) % 2.42/2.63 (define @t1045 () (lambda @t399 @t1044)) % 2.42/2.63 (define @t1046 () (lambda @t402 (_ tptp.eps @t1045))) % 2.42/2.63 (define @t1047 () (= @t22 (_ @t404 @t1046))) % 2.42/2.63 (define @t1048 () (not @t1041)) % 2.42/2.63 (define @t1049 () (and @t1048 @t1047)) % 2.42/2.63 (define @t1050 () (or @t1049 @t1042)) % 2.42/2.63 (define @t1051 () (lambda @t27 @t1050)) % 2.42/2.63 (define @t1052 () (lambda @t197 (_ tptp.eps @t1051))) % 2.42/2.63 (define @t1053 () (forall @t410 (or (not (tptp.in @t358 @t2)) @t1034))) % 2.42/2.63 (define @t1054 () (_ tptp.eps (lambda @t391 (and (_ @t389 @t2) @t388)))) % 2.42/2.63 (define @t1055 () (= @t1054 @t394)) % 2.42/2.63 (define @t1056 () (and @t1037 @t1055)) % 2.42/2.63 (define @t1057 () (not @t1053)) % 2.42/2.63 (define @t1058 () (and @t1057 (= @t22 (_ @t28 (lambda @t402 (_ tptp.eps (lambda @t399 (or @t1038 @t1056)))))))) % 2.42/2.63 (define @t1059 () (_ tptp.eps (lambda @t27 (or @t1058 (and @t1053 @t357))))) % 2.42/2.63 (define @t1060 () (lambda @t101 @t1059)) % 2.42/2.63 (define @t1061 () (_ @t1060 @t53)) % 2.42/2.63 (define @t1062 () (or @t383 @t1006 @t147)) % 2.42/2.63 (define @t1063 () (=> @t1005 @t147)) % 2.42/2.63 (define @t1064 () (= @t22 @t892)) % 2.42/2.63 (define @t1065 () (and @t373 @t1064)) % 2.42/2.63 (define @t1066 () (and @t372 @t81)) % 2.42/2.63 (define @t1067 () (or @t1066 @t1065)) % 2.42/2.63 (define @t1068 () (lambda @t27 @t1067)) % 2.42/2.63 (define @t1069 () (_ tptp.eps @t1068)) % 2.42/2.63 (define @t1070 () (lambda @t377 @t1069)) % 2.42/2.63 (define @t1071 () (_ @t170 @t1070)) % 2.42/2.63 (define @t1072 () (_ tptp.union @t1071)) % 2.42/2.63 (define @t1073 () (_ @t40 @t1072)) % 2.42/2.63 (define @t1074 () (_ tptp.repl @t335)) % 2.42/2.63 (define @t1075 () (or @t897 @t1073)) % 2.42/2.63 (define @t1076 () (= @t2 @t327)) % 2.42/2.63 (define @t1077 () (and @t367 @t1076)) % 2.42/2.63 (define @t1078 () (and @t366 @t1076)) % 2.42/2.63 (define @t1079 () (or @t1078 @t1077)) % 2.42/2.63 (define @t1080 () (lambda @t332 @t1079)) % 2.42/2.63 (define @t1081 () (_ tptp.eps @t1080)) % 2.42/2.63 (define @t1082 () (lambda @t333 @t1081)) % 2.42/2.63 (define @t1083 () (_ @t170 @t1082)) % 2.42/2.63 (define @t1084 () (= @t22 @t1083)) % 2.42/2.63 (define @t1085 () (= @t2 @t22)) % 2.42/2.63 (define @t1086 () (not @t166)) % 2.42/2.63 (define @t1087 () (and @t166 @t1085)) % 2.42/2.63 (define @t1088 () (lambda @t13 (_ tptp.eps (lambda @t27 (or @t1087 (and @t1086 @t1084)))))) % 2.42/2.63 (define @t1089 () (_ tptp.union (_ @t170 @t1088))) % 2.42/2.63 (define @t1090 () (lambda @t16 @t1089)) % 2.42/2.63 (define @t1091 () (=> @t44 (_ @t40 (_ @t1090 @t9)))) % 2.42/2.63 (define @t1092 () (forall @t13 @t1091)) % 2.42/2.63 (define @t1093 () (=> @t1092 @t147)) % 2.42/2.63 (define @t1094 () (=> @t195 @t1093)) % 2.42/2.63 (define @t1095 () (lambda @t27 (or @t1087 (and @t1086 (= @t22 (_ @t170 (lambda @t13 (_ tptp.eps (lambda @t332 (or (and @t166 @t1076) (and @t1086 @t1076))))))))))) % 2.42/2.63 (define @t1096 () (_ @t170 (lambda @t13 (_ tptp.eps (lambda @t27 (or @t1087 (and @t1086 @t1085))))))) % 2.42/2.63 (define @t1097 () (and @t1086 (= @t1096 @t22))) % 2.42/2.63 (define @t1098 () (or @t1087 @t1097)) % 2.42/2.63 (define @t1099 () (lambda @t27 @t1098)) % 2.42/2.63 (define @t1100 () (lambda @t13 (_ tptp.eps @t1099))) % 2.42/2.63 (define @t1101 () (= @t1 @t22)) % 2.42/2.63 (define @t1102 () (_ @t170 (lambda @t13 (_ tptp.eps (lambda @t27 (or @t1087 (and @t1086 @t1101))))))) % 2.42/2.63 (define @t1103 () (_ tptp.union @t1102)) % 2.42/2.63 (define @t1104 () (lambda @t8 @t1103)) % 2.42/2.63 (define @t1105 () (lambda @t8 @t1102)) % 2.42/2.63 (define @t1106 () (and @t1086 @t160)) % 2.42/2.63 (define @t1107 () (or @t1087 @t1106)) % 2.42/2.63 (define @t1108 () (lambda @t27 @t1107)) % 2.42/2.63 (define @t1109 () (@var "BOUND_VARIABLE_7769" $$unsorted)) % 2.42/2.63 (define @t1110 () (= @t22 @t1109)) % 2.42/2.63 (define @t1111 () (and @t1086 @t1110)) % 2.42/2.63 (define @t1112 () (lambda (@list @t1109) (_ tptp.eps (lambda @t27 (or @t1087 @t1111))))) % 2.42/2.63 (define @t1113 () (and @t166 @t1101)) % 2.42/2.63 (define @t1114 () (lambda (@list @t1 @t1109) (_ tptp.eps (lambda @t27 (or @t1113 @t1111))))) % 2.42/2.63 (define @t1115 () (and @t32 @t1101)) % 2.42/2.63 (define @t1116 () (@list @t32 @t1 @t1109)) % 2.42/2.63 (define @t1117 () (and @t37 (= @t1109 @t22))) % 2.42/2.63 (define @t1118 () (or @t1115 @t1117)) % 2.42/2.63 (define @t1119 () (lambda @t27 @t1118)) % 2.42/2.63 (define @t1120 () (lambda @t39 (_ tptp.eps (lambda @t27 (or @t1115 (and @t37 @t81)))))) % 2.42/2.63 (define @t1121 () (and @t1053 @t81)) % 2.42/2.63 (define @t1122 () (and @t396 (= @t395 @t394))) % 2.42/2.63 (define @t1123 () (or @t1122 @t1056)) % 2.42/2.63 (define @t1124 () (lambda @t399 @t1123)) % 2.42/2.63 (define @t1125 () (lambda @t402 (_ tptp.eps @t1124))) % 2.42/2.63 (define @t1126 () (= @t22 (_ @t28 @t1125))) % 2.42/2.63 (define @t1127 () (and @t1057 @t1126)) % 2.42/2.63 (define @t1128 () (or @t1127 @t1121)) % 2.42/2.63 (define @t1129 () (lambda @t27 @t1128)) % 2.42/2.63 (define @t1130 () (lambda @t13 (_ tptp.eps @t1129))) % 2.42/2.63 (define @t1131 () (and @t44 (= @t9 @t394))) % 2.42/2.63 (define @t1132 () (and @t897 (= @t394 @t1054))) % 2.42/2.63 (define @t1133 () (or @t1131 @t1132)) % 2.42/2.63 (define @t1134 () (lambda @t399 @t1133)) % 2.42/2.63 (define @t1135 () (lambda @t13 (_ tptp.eps @t1134))) % 2.42/2.63 (define @t1136 () (= @t22 (_ @t28 @t1135))) % 2.42/2.63 (define @t1137 () (and @t1057 @t1136)) % 2.42/2.63 (define @t1138 () (or @t1137 @t1121)) % 2.42/2.63 (define @t1139 () (lambda @t27 @t1138)) % 2.42/2.63 (define @t1140 () (and @t44 @t81)) % 2.42/2.63 (define @t1141 () (lambda @t27 (or @t1140 (and @t897 (= @t22 @t1054))))) % 2.42/2.63 (define @t1142 () (_ @t28 (lambda @t13 (_ tptp.eps @t1141)))) % 2.42/2.63 (define @t1143 () (and @t1057 (= @t1142 @t22))) % 2.42/2.63 (define @t1144 () (or @t1143 @t1121)) % 2.42/2.63 (define @t1145 () (lambda @t27 @t1144)) % 2.42/2.63 (define @t1146 () (lambda @t13 (_ tptp.eps @t1145))) % 2.42/2.63 (define @t1147 () (@list @t1 @t9)) % 2.42/2.63 (define @t1148 () (lambda @t1147 (_ tptp.eps (lambda @t27 (or (and @t1057 @t1101) @t1121))))) % 2.42/2.63 (define @t1149 () (lambda @t27 (or @t1140 (and @t897 (= @t22 @t176))))) % 2.42/2.63 (define @t1150 () (@var "BOUND_VARIABLE_7937" $$unsorted)) % 2.42/2.63 (define @t1151 () (= @t22 @t1150)) % 2.42/2.63 (define @t1152 () (and @t897 @t1151)) % 2.42/2.63 (define @t1153 () (lambda (@list @t1150) (_ tptp.eps (lambda @t27 (or @t1140 @t1152))))) % 2.42/2.63 (define @t1154 () (lambda (@list @t1 @t1150) (_ tptp.eps (lambda @t27 (or (and @t44 @t1101) @t1152))))) % 2.42/2.63 (define @t1155 () (@list @t32 @t1 @t1150)) % 2.42/2.63 (define @t1156 () (and @t37 (= @t1150 @t22))) % 2.42/2.63 (define @t1157 () (or @t1115 @t1156)) % 2.42/2.63 (define @t1158 () (lambda @t27 @t1157)) % 2.42/2.63 (define @t1159 () (tptp.in @t9 @t2)) % 2.42/2.63 (define @t1160 () (forall @t13 (or (not @t1159) @t743))) % 2.42/2.63 (define @t1161 () (not @t1160)) % 2.42/2.63 (define @t1162 () (and @t1161 @t1101)) % 2.42/2.63 (define @t1163 () (and (not @t1161) @t81)) % 2.42/2.63 (define @t1164 () (or @t1162 @t1163)) % 2.42/2.63 (define @t1165 () (lambda @t27 @t1164)) % 2.42/2.63 (define @t1166 () (lambda @t1147 (_ tptp.eps @t1165))) % 2.42/2.63 (define @t1167 () (not @t17)) % 2.42/2.63 (define @t1168 () (or @t1167 @t897)) % 2.42/2.63 (define @t1169 () (forall @t13 (not @t178))) % 2.42/2.63 (define @t1170 () (not @t1169)) % 2.42/2.63 (define @t1171 () (tptp.in @t358 tptp.omega)) % 2.42/2.63 (define @t1172 () (not @t1171)) % 2.42/2.63 (define @t1173 () (or @t1172 @t359)) % 2.42/2.63 (define @t1174 () (forall @t410 @t1173)) % 2.42/2.63 (define @t1175 () (and @t1174 @t357)) % 2.42/2.63 (define @t1176 () (_ @t389 tptp.omega)) % 2.42/2.63 (define @t1177 () (and @t1176 @t412)) % 2.42/2.63 (define @t1178 () (lambda @t391 @t1177)) % 2.42/2.63 (define @t1179 () (= @t394 (_ tptp.eps @t1178))) % 2.42/2.63 (define @t1180 () (and @t443 @t1179)) % 2.42/2.63 (define @t1181 () (or @t444 @t1180)) % 2.42/2.63 (define @t1182 () (lambda @t399 @t1181)) % 2.42/2.63 (define @t1183 () (lambda @t402 (_ tptp.eps @t1182))) % 2.42/2.63 (define @t1184 () (_ tptp.repl tptp.omega)) % 2.42/2.63 (define @t1185 () (= @t22 (_ @t1184 @t1183))) % 2.42/2.63 (define @t1186 () (not @t1174)) % 2.42/2.63 (define @t1187 () (and @t1186 @t1185)) % 2.42/2.63 (define @t1188 () (or @t1187 @t1175)) % 2.42/2.63 (define @t1189 () (lambda @t27 @t1188)) % 2.42/2.63 (define @t1190 () (not (= @t358 tptp.emptyset))) % 2.42/2.63 (define @t1191 () (_ @t129 @t358)) % 2.42/2.63 (define @t1192 () (not @t1191)) % 2.42/2.63 (define @t1193 () (or @t1172 @t1192)) % 2.42/2.63 (define @t1194 () (forall @t410 @t1193)) % 2.42/2.63 (define @t1195 () (and @t1194 @t357)) % 2.42/2.63 (define @t1196 () (not (= @t387 tptp.emptyset))) % 2.42/2.63 (define @t1197 () (_ @t129 @t387)) % 2.42/2.63 (define @t1198 () (and @t1176 @t1197)) % 2.42/2.63 (define @t1199 () (lambda @t391 @t1198)) % 2.42/2.63 (define @t1200 () (= @t394 (_ tptp.eps @t1199))) % 2.42/2.63 (define @t1201 () (not (= @t395 tptp.emptyset))) % 2.42/2.63 (define @t1202 () (_ @t129 @t395)) % 2.42/2.63 (define @t1203 () (not @t1202)) % 2.42/2.63 (define @t1204 () (and @t1203 @t1200)) % 2.42/2.63 (define @t1205 () (and @t1202 @t398)) % 2.42/2.63 (define @t1206 () (or @t1205 @t1204)) % 2.42/2.63 (define @t1207 () (lambda @t399 @t1206)) % 2.42/2.63 (define @t1208 () (lambda @t402 (_ tptp.eps @t1207))) % 2.42/2.63 (define @t1209 () (= @t22 (_ @t1184 @t1208))) % 2.42/2.63 (define @t1210 () (not @t1194)) % 2.42/2.63 (define @t1211 () (and @t1210 @t1209)) % 2.42/2.63 (define @t1212 () (or @t1211 @t1195)) % 2.42/2.63 (define @t1213 () (lambda @t27 @t1212)) % 2.42/2.63 (define @t1214 () (forall @t410 (or @t1172 @t1034))) % 2.42/2.63 (define @t1215 () (and @t1214 @t357)) % 2.42/2.63 (define @t1216 () (_ tptp.eps (lambda @t391 (and @t1176 @t388)))) % 2.42/2.63 (define @t1217 () (not @t1214)) % 2.42/2.63 (define @t1218 () (and @t1037 (= @t1216 @t394))) % 2.42/2.63 (define @t1219 () (or @t1038 @t1218)) % 2.42/2.63 (define @t1220 () (lambda @t399 @t1219)) % 2.42/2.63 (define @t1221 () (lambda @t402 (_ tptp.eps @t1220))) % 2.42/2.63 (define @t1222 () (= @t22 (_ @t1184 @t1221))) % 2.42/2.63 (define @t1223 () (and @t1217 @t1222)) % 2.42/2.63 (define @t1224 () (or @t1223 @t1215)) % 2.42/2.63 (define @t1225 () (lambda @t27 @t1224)) % 2.42/2.63 (define @t1226 () (lambda @t197 (_ tptp.eps @t1225))) % 2.42/2.63 (define @t1227 () (_ @t1060 tptp.omega)) % 2.42/2.63 (define @t1228 () (tptp.in @t325 tptp.nat)) % 2.42/2.63 (define @t1229 () (not @t1228)) % 2.42/2.63 (define @t1230 () (tptp.in @t9 tptp.nat)) % 2.42/2.63 (define @t1231 () (not @t1230)) % 2.42/2.63 (define @t1232 () (tptp.n_is @t9 @t325)) % 2.42/2.63 (define @t1233 () (or @t1231 @t1229 @t844 @t1232)) % 2.42/2.63 (define @t1234 () (or @t1229 @t844 @t1232)) % 2.42/2.63 (define @t1235 () (or @t1231 @t1234)) % 2.42/2.63 (define @t1236 () (forall @t622 @t1235)) % 2.42/2.63 (define @t1237 () (@list @t325)) % 2.42/2.63 (define @t1238 () (forall @t1237 @t1235)) % 2.42/2.63 (define @t1239 () (forall @t1237 @t1234)) % 2.42/2.63 (define @t1240 () (@var "BOUND_VARIABLE_38273" $$unsorted)) % 2.42/2.63 (define @t1241 () (@list @t1240)) % 2.42/2.63 (define @t1242 () (or @t1231 @t1239)) % 2.42/2.63 (define @t1243 () (tptp.n_is @t9 @t1240)) % 2.42/2.63 (define @t1244 () (= @t327 @t1240)) % 2.42/2.63 (define @t1245 () (not (tptp.in @t1240 tptp.nat))) % 2.42/2.63 (define @t1246 () (@list @t1240)) % 2.42/2.63 (define @t1247 () (= @t1240 @t327)) % 2.42/2.63 (define @t1248 () (and @t331 @t1247)) % 2.42/2.63 (define @t1249 () (and @t330 @t1247)) % 2.42/2.63 (define @t1250 () (or @t1249 @t1248)) % 2.42/2.63 (define @t1251 () (lambda @t332 @t1250)) % 2.42/2.63 (define @t1252 () (tptp.eps @t1251)) % 2.42/2.63 (define @t1253 () (lambda @t333 @t1252)) % 2.42/2.63 (define @t1254 () (tptp.repl @t335 @t1253)) % 2.42/2.63 (define @t1255 () (= @t22 @t1254)) % 2.42/2.63 (define @t1256 () (and @t338 @t1255)) % 2.42/2.63 (define @t1257 () (and @t337 (= @t1240 @t22))) % 2.42/2.63 (define @t1258 () (or @t1257 @t1256)) % 2.42/2.63 (define @t1259 () (lambda @t27 @t1258)) % 2.42/2.63 (define @t1260 () (tptp.eps @t1259)) % 2.42/2.63 (define @t1261 () (lambda @t339 @t1260)) % 2.42/2.63 (define @t1262 () (tptp.repl @t335 @t1261)) % 2.42/2.63 (define @t1263 () (tptp.union @t1262)) % 2.42/2.63 (define @t1264 () (tptp.n_is @t354 @t1263)) % 2.42/2.63 (define @t1265 () (not @t1264)) % 2.42/2.63 (define @t1266 () (or @t1245 @t1265 @t1243)) % 2.42/2.63 (define @t1267 () (forall @t1246 @t1266)) % 2.42/2.63 (define @t1268 () (and @t331 @t1076)) % 2.42/2.63 (define @t1269 () (and @t330 @t1076)) % 2.42/2.63 (define @t1270 () (or @t1269 @t1268)) % 2.42/2.63 (define @t1271 () (lambda @t332 @t1270)) % 2.42/2.63 (define @t1272 () (tptp.eps @t1271)) % 2.42/2.63 (define @t1273 () (lambda @t333 @t1272)) % 2.42/2.63 (define @t1274 () (tptp.repl @t335 @t1273)) % 2.42/2.63 (define @t1275 () (= @t22 @t1274)) % 2.42/2.63 (define @t1276 () (and @t352 @t1275)) % 2.42/2.63 (define @t1277 () (and @t351 @t1085)) % 2.42/2.63 (define @t1278 () (or @t1277 @t1276)) % 2.42/2.63 (define @t1279 () (lambda @t27 @t1278)) % 2.42/2.63 (define @t1280 () (tptp.eps @t1279)) % 2.42/2.63 (define @t1281 () (lambda @t353 @t1280)) % 2.42/2.63 (define @t1282 () (tptp.repl @t335 @t1281)) % 2.42/2.63 (define @t1283 () (tptp.union @t1282)) % 2.42/2.63 (define @t1284 () (tptp.n_is @t2 @t9)) % 2.42/2.63 (define @t1285 () (and @t338 @t349)) % 2.42/2.63 (define @t1286 () (and @t337 @t81)) % 2.42/2.63 (define @t1287 () (or @t1286 @t1285)) % 2.42/2.63 (define @t1288 () (lambda @t27 @t1287)) % 2.42/2.63 (define @t1289 () (tptp.eps @t1288)) % 2.42/2.63 (define @t1290 () (lambda @t339 @t1289)) % 2.42/2.63 (define @t1291 () (tptp.repl @t335 @t1290)) % 2.42/2.63 (define @t1292 () (tptp.union @t1291)) % 2.42/2.63 (define @t1293 () (tptp.n_is @t1283 @t1292)) % 2.42/2.63 (define @t1294 () (forall @t13 (or @t1231 (not @t1293) @t1284))) % 2.42/2.63 (define @t1295 () (lambda @t16 @t1294)) % 2.42/2.63 (define @t1296 () (or @t1231 (_ @t1295 @t9))) % 2.42/2.63 (define @t1297 () (forall @t13 @t1296)) % 2.42/2.63 (define @t1298 () (lambda @t197 (forall @t13 (or @t1231 @t742)))) % 2.42/2.63 (define @t1299 () (_ @t136 @t9)) % 2.42/2.63 (define @t1300 () (_ @t49 @t336)) % 2.42/2.63 (define @t1301 () (not @t1300)) % 2.42/2.63 (define @t1302 () (and @t1301 @t1064)) % 2.42/2.63 (define @t1303 () (and @t1300 @t81)) % 2.42/2.63 (define @t1304 () (or @t1303 @t1302)) % 2.42/2.63 (define @t1305 () (lambda @t27 @t1304)) % 2.42/2.63 (define @t1306 () (_ tptp.eps @t1305)) % 2.42/2.63 (define @t1307 () (lambda @t339 @t1306)) % 2.42/2.63 (define @t1308 () (_ @t170 @t1307)) % 2.42/2.63 (define @t1309 () (_ tptp.union @t1308)) % 2.42/2.63 (define @t1310 () (_ @t49 @t350)) % 2.42/2.63 (define @t1311 () (not @t1310)) % 2.42/2.63 (define @t1312 () (and @t1311 @t1084)) % 2.42/2.63 (define @t1313 () (and @t1310 @t1085)) % 2.42/2.63 (define @t1314 () (or @t1313 @t1312)) % 2.42/2.63 (define @t1315 () (lambda @t27 @t1314)) % 2.42/2.63 (define @t1316 () (_ tptp.eps @t1315)) % 2.42/2.63 (define @t1317 () (lambda @t353 @t1316)) % 2.42/2.63 (define @t1318 () (_ @t170 @t1317)) % 2.42/2.63 (define @t1319 () (_ tptp.union @t1318)) % 2.42/2.63 (define @t1320 () (_ tptp.n_is @t1319)) % 2.42/2.63 (define @t1321 () (_ @t1320 @t1309)) % 2.42/2.63 (define @t1322 () (not @t1321)) % 2.42/2.63 (define @t1323 () (or @t1231 @t1322 @t1299)) % 2.42/2.63 (define @t1324 () (=> @t1321 @t1299)) % 2.42/2.63 (define @t1325 () (or @t1231 @t1324)) % 2.42/2.63 (define @t1326 () (= @t1 @t327)) % 2.42/2.63 (define @t1327 () (= @t22 (_ @t170 (lambda @t333 (_ tptp.eps (lambda @t332 (or (and @t366 @t1326) (and @t367 @t1326)))))))) % 2.42/2.63 (define @t1328 () (lambda @t13 (_ tptp.eps (lambda @t27 (or @t1113 (and @t1086 @t1327)))))) % 2.42/2.63 (define @t1329 () (_ tptp.union (_ @t170 @t1328))) % 2.42/2.63 (define @t1330 () (_ tptp.n_is @t1089)) % 2.42/2.63 (define @t1331 () (_ @t1330 @t1329)) % 2.42/2.63 (define @t1332 () (=> @t1331 @t137)) % 2.42/2.63 (define @t1333 () (lambda @t8 @t1332)) % 2.42/2.63 (define @t1334 () (or @t1231 (_ @t1333 @t9))) % 2.42/2.63 (define @t1335 () (forall @t13 @t1334)) % 2.42/2.63 (define @t1336 () (_ @t1090 @t1)) % 2.42/2.63 (define @t1337 () (_ @t1090 @t2)) % 2.42/2.63 (define @t1338 () (=> (_ (_ tptp.n_is @t1337) @t1336) @t137)) % 2.42/2.63 (define @t1339 () (lambda @t8 @t1338)) % 2.42/2.63 (define @t1340 () (_ @t11 tptp.nat)) % 2.42/2.63 (define @t1341 () (not @t1340)) % 2.42/2.63 (define @t1342 () (or @t1341 @t742)) % 2.42/2.63 (define @t1343 () (_ @t133 @t9)) % 2.42/2.63 (define @t1344 () (not @t1343)) % 2.42/2.63 (define @t1345 () (or @t1344 @t742)) % 2.42/2.63 (define @t1346 () (forall @t13 @t1345)) % 2.42/2.63 (define @t1347 () (lambda @t197 @t1346)) % 2.42/2.63 (define @t1348 () (_ @t6 @t9)) % 2.42/2.63 (define @t1349 () (lambda @t151 (forall @t13 (or (not @t1348) @t742)))) % 2.42/2.63 (define @t1350 () (_ @t1349 @t133)) % 2.42/2.63 (define @t1351 () (_ @t132 @t9)) % 2.42/2.63 (define @t1352 () (not @t1351)) % 2.42/2.63 (define @t1353 () (or @t1352 @t742)) % 2.42/2.63 (define @t1354 () (forall @t13 @t1353)) % 2.42/2.63 (define @t1355 () (lambda @t197 @t1354)) % 2.42/2.63 (define @t1356 () (_ @t1349 @t132)) % 2.42/2.63 (define @t1357 () (not @t10)) % 2.42/2.63 (define @t1358 () (or @t1357 @t44)) % 2.42/2.63 (define @t1359 () (lambda @t197 @t44)) % 2.42/2.63 (define @t1360 () (_ @t148 @t9)) % 2.42/2.63 (define @t1361 () (=> (_ @t1360 @t6) @t44)) % 2.42/2.63 (define @t1362 () (@var "BOUND_VARIABLE_38716" $$unsorted)) % 2.42/2.63 (define @t1363 () (= @t9 @t1362)) % 2.42/2.63 (define @t1364 () (= @t327 @t1362)) % 2.42/2.63 (define @t1365 () (@var "BOUND_VARIABLE_38563" $$unsorted)) % 2.42/2.63 (define @t1366 () (tptp.in tptp.emptyset @t1365)) % 2.42/2.63 (define @t1367 () (not @t1366)) % 2.42/2.63 (define @t1368 () (@list @t1365)) % 2.42/2.63 (define @t1369 () (tptp.union (tptp.repl @t335 (lambda @t1368 (tptp.eps (lambda @t27 (or (and @t1366 (= @t22 @t1362)) (and @t1367 (= @t22 (tptp.repl @t335 (lambda @t333 (tptp.eps (lambda @t332 (or (and @t330 @t1364) (and @t331 @t1364))))))))))))))) % 2.42/2.63 (define @t1370 () (@var "BOUND_VARIABLE_38576" $$unsorted)) % 2.42/2.63 (define @t1371 () (tptp.in tptp.emptyset @t1370)) % 2.42/2.63 (define @t1372 () (not @t1371)) % 2.42/2.63 (define @t1373 () (@list @t1370)) % 2.42/2.63 (define @t1374 () (tptp.union (tptp.repl @t335 (lambda @t1373 (tptp.eps (lambda @t27 (or (and @t1371 @t81) (and @t1372 @t349)))))))) % 2.42/2.63 (define @t1375 () (= @t1374 @t1369)) % 2.42/2.63 (define @t1376 () (not @t1375)) % 2.42/2.63 (define @t1377 () (@var "BOUND_VARIABLE_60186" $$unsorted)) % 2.42/2.63 (define @t1378 () (= @t327 @t1377)) % 2.42/2.63 (define @t1379 () (and @t331 @t1378)) % 2.42/2.63 (define @t1380 () (and @t330 @t1378)) % 2.42/2.63 (define @t1381 () (or @t1380 @t1379)) % 2.42/2.63 (define @t1382 () (lambda @t332 @t1381)) % 2.42/2.63 (define @t1383 () (tptp.eps @t1382)) % 2.42/2.63 (define @t1384 () (lambda @t333 @t1383)) % 2.42/2.63 (define @t1385 () (tptp.repl @t335 @t1384)) % 2.42/2.63 (define @t1386 () (= @t370 @t1385)) % 2.42/2.63 (define @t1387 () (and @t465 @t1386)) % 2.42/2.63 (define @t1388 () (= @t370 @t1377)) % 2.42/2.63 (define @t1389 () (and @t464 @t1388)) % 2.42/2.63 (define @t1390 () (or @t1389 @t1387)) % 2.42/2.63 (define @t1391 () (lambda @t375 @t1390)) % 2.42/2.63 (define @t1392 () (tptp.eps @t1391)) % 2.42/2.63 (define @t1393 () (lambda @t377 @t1392)) % 2.42/2.63 (define @t1394 () (tptp.repl @t335 @t1393)) % 2.42/2.63 (define @t1395 () (tptp.union @t1394)) % 2.42/2.63 (define @t1396 () (_ @t40 @t1395)) % 2.42/2.63 (define @t1397 () (_ @t40 @t1377)) % 2.42/2.63 (define @t1398 () (not @t1397)) % 2.42/2.63 (define @t1399 () (or @t1398 @t1396)) % 2.42/2.63 (define @t1400 () (@list @t1377)) % 2.42/2.63 (define @t1401 () (forall @t1400 @t1399)) % 2.42/2.63 (define @t1402 () (not @t1401)) % 2.42/2.63 (define @t1403 () (or @t481 @t1402 @t455)) % 2.42/2.63 (define @t1404 () (forall @t197 @t1403)) % 2.42/2.63 (define @t1405 () (not @t1404)) % 2.42/2.63 (define @t1406 () (or @t487 @t1405)) % 2.42/2.63 (define @t1407 () (forall @t385 @t1406)) % 2.42/2.63 (define @t1408 () (and @t1407 @t361)) % 2.42/2.63 (define @t1409 () (or @t481 @t1402 @t491)) % 2.42/2.63 (define @t1410 () (forall @t197 @t1409)) % 2.42/2.63 (define @t1411 () (and @t494 @t1410)) % 2.42/2.63 (define @t1412 () (lambda @t391 @t1411)) % 2.42/2.63 (define @t1413 () (tptp.eps @t1412)) % 2.42/2.63 (define @t1414 () (= @t394 @t1413)) % 2.42/2.63 (define @t1415 () (or @t481 @t1402 @t499)) % 2.42/2.63 (define @t1416 () (forall @t197 @t1415)) % 2.42/2.63 (define @t1417 () (not @t1416)) % 2.42/2.63 (define @t1418 () (and @t1417 @t1414)) % 2.42/2.63 (define @t1419 () (and @t1416 @t398)) % 2.42/2.63 (define @t1420 () (or @t1419 @t1418)) % 2.42/2.63 (define @t1421 () (lambda @t399 @t1420)) % 2.42/2.63 (define @t1422 () (tptp.eps @t1421)) % 2.42/2.63 (define @t1423 () (lambda @t402 @t1422)) % 2.42/2.63 (define @t1424 () (tptp.repl @t485 @t1423)) % 2.42/2.63 (define @t1425 () (= @t360 @t1424)) % 2.42/2.63 (define @t1426 () (not @t1407)) % 2.42/2.63 (define @t1427 () (and @t1426 @t1425)) % 2.42/2.63 (define @t1428 () (or @t1427 @t1408)) % 2.42/2.63 (define @t1429 () (lambda @t406 @t1428)) % 2.42/2.63 (define @t1430 () (tptp.eps @t1429)) % 2.42/2.63 (define @t1431 () (tptp.in @t358 @t1430)) % 2.42/2.63 (define @t1432 () (not @t1431)) % 2.42/2.63 (define @t1433 () (or @t1432 @t359)) % 2.42/2.63 (define @t1434 () (forall @t410 @t1433)) % 2.42/2.63 (define @t1435 () (and @t1434 @t357)) % 2.42/2.63 (define @t1436 () (or @t481 @t1402 @t521)) % 2.42/2.63 (define @t1437 () (forall @t197 @t1436)) % 2.42/2.63 (define @t1438 () (not @t1437)) % 2.42/2.63 (define @t1439 () (or @t527 @t1438)) % 2.42/2.63 (define @t1440 () (forall @t410 @t1439)) % 2.42/2.63 (define @t1441 () (and @t1440 @t414)) % 2.42/2.63 (define @t1442 () (or @t481 @t1402 @t531)) % 2.42/2.63 (define @t1443 () (forall @t197 @t1442)) % 2.42/2.63 (define @t1444 () (and @t534 @t1443)) % 2.42/2.63 (define @t1445 () (lambda @t422 @t1444)) % 2.42/2.63 (define @t1446 () (tptp.eps @t1445)) % 2.42/2.63 (define @t1447 () (= @t425 @t1446)) % 2.42/2.63 (define @t1448 () (or @t481 @t1402 @t539)) % 2.42/2.63 (define @t1449 () (forall @t197 @t1448)) % 2.42/2.63 (define @t1450 () (not @t1449)) % 2.42/2.63 (define @t1451 () (and @t1450 @t1447)) % 2.42/2.63 (define @t1452 () (and @t1449 @t429)) % 2.42/2.63 (define @t1453 () (or @t1452 @t1451)) % 2.42/2.63 (define @t1454 () (lambda @t430 @t1453)) % 2.42/2.63 (define @t1455 () (tptp.eps @t1454)) % 2.42/2.63 (define @t1456 () (lambda @t433 @t1455)) % 2.42/2.63 (define @t1457 () (tptp.repl @t485 @t1456)) % 2.42/2.63 (define @t1458 () (= @t413 @t1457)) % 2.42/2.63 (define @t1459 () (not @t1440)) % 2.42/2.63 (define @t1460 () (and @t1459 @t1458)) % 2.42/2.63 (define @t1461 () (or @t1460 @t1441)) % 2.42/2.63 (define @t1462 () (lambda @t437 @t1461)) % 2.42/2.63 (define @t1463 () (tptp.eps @t1462)) % 2.42/2.63 (define @t1464 () (tptp.in @t387 @t1463)) % 2.42/2.63 (define @t1465 () (and @t1464 @t412)) % 2.42/2.63 (define @t1466 () (lambda @t391 @t1465)) % 2.42/2.63 (define @t1467 () (tptp.eps @t1466)) % 2.42/2.63 (define @t1468 () (= @t394 @t1467)) % 2.42/2.63 (define @t1469 () (and @t443 @t1468)) % 2.42/2.63 (define @t1470 () (or @t444 @t1469)) % 2.42/2.63 (define @t1471 () (lambda @t399 @t1470)) % 2.42/2.63 (define @t1472 () (tptp.eps @t1471)) % 2.42/2.63 (define @t1473 () (lambda @t402 @t1472)) % 2.42/2.63 (define @t1474 () (and @t1440 @t449)) % 2.42/2.63 (define @t1475 () (= @t448 @t1424)) % 2.42/2.63 (define @t1476 () (and @t1459 @t1475)) % 2.42/2.63 (define @t1477 () (or @t1476 @t1474)) % 2.42/2.63 (define @t1478 () (lambda @t450 @t1477)) % 2.42/2.63 (define @t1479 () (tptp.eps @t1478)) % 2.42/2.63 (define @t1480 () (tptp.repl @t1479 @t1473)) % 2.42/2.63 (define @t1481 () (= @t22 @t1480)) % 2.42/2.63 (define @t1482 () (not @t1434)) % 2.42/2.63 (define @t1483 () (and @t1482 @t1481)) % 2.42/2.63 (define @t1484 () (or @t1483 @t1435)) % 2.42/2.63 (define @t1485 () (lambda @t27 @t1484)) % 2.42/2.63 (define @t1486 () (tptp.eps @t1485)) % 2.42/2.63 (define @t1487 () (not (tptp.in @t1362 @t1486))) % 2.42/2.63 (define @t1488 () (not (tptp.in @t9 @t1486))) % 2.42/2.63 (define @t1489 () (or @t1488 @t1487 @t1376 @t1363)) % 2.42/2.63 (define @t1490 () (or @t1488 @t1487 @t1363 @t1376)) % 2.42/2.63 (define @t1491 () (@list @t9 @t1362)) % 2.42/2.63 (define @t1492 () (forall @t1491 @t1490)) % 2.42/2.63 (define @t1493 () (forall @t1491 @t1489)) % 2.42/2.63 (define @t1494 () (@var "BOUND_VARIABLE_68837" $$unsorted)) % 2.42/2.63 (define @t1495 () (@var "BOUND_VARIABLE_68836" $$unsorted)) % 2.42/2.63 (define @t1496 () (@var "BOUND_VARIABLE_68842" $$unsorted)) % 2.42/2.63 (define @t1497 () (= @t1496 @t1494)) % 2.42/2.63 (define @t1498 () (@var "BOUND_VARIABLE_68841" $$unsorted)) % 2.42/2.63 (define @t1499 () (tptp.in tptp.emptyset @t1498)) % 2.42/2.63 (define @t1500 () (not @t1499)) % 2.42/2.63 (define @t1501 () (@list @t1496)) % 2.42/2.63 (define @t1502 () (@list @t1498)) % 2.42/2.63 (define @t1503 () (@var "BOUND_VARIABLE_68840" $$unsorted)) % 2.42/2.63 (define @t1504 () (@var "BOUND_VARIABLE_68838" $$unsorted)) % 2.42/2.63 (define @t1505 () (tptp.in tptp.emptyset @t1504)) % 2.42/2.63 (define @t1506 () (@list @t1503)) % 2.42/2.63 (define @t1507 () (= @t1495 @t1496)) % 2.42/2.63 (define @t1508 () (@var "BOUND_VARIABLE_68843" $$unsorted)) % 2.42/2.63 (define @t1509 () (tptp.in tptp.emptyset @t1508)) % 2.42/2.63 (define @t1510 () (@var "BOUND_VARIABLE_68851" $$unsorted)) % 2.42/2.63 (define @t1511 () (@var "BOUND_VARIABLE_68856" $$unsorted)) % 2.42/2.63 (define @t1512 () (@var "BOUND_VARIABLE_68857" $$unsorted)) % 2.42/2.63 (define @t1513 () (@var "BOUND_VARIABLE_68839" (-> $$unsorted Bool))) % 2.42/2.63 (define @t1514 () (@var "BOUND_VARIABLE_68848" $$unsorted)) % 2.42/2.63 (define @t1515 () (= @t1496 @t1514)) % 2.42/2.63 (define @t1516 () (@var "BOUND_VARIABLE_68850" $$unsorted)) % 2.42/2.63 (define @t1517 () (@var "BOUND_VARIABLE_68849" $$unsorted)) % 2.42/2.63 (define @t1518 () (tptp.in tptp.emptyset @t1517)) % 2.42/2.63 (define @t1519 () (not (forall (@list @t1514) (or (not (_ @t1513 @t1514)) (_ @t1513 (tptp.union (tptp.repl @t335 (lambda (@list @t1517) (tptp.eps (lambda (@list @t1516) (or (and @t1518 (= @t1516 @t1514)) (and (not @t1518) (= @t1516 (tptp.repl @t335 (lambda @t1502 (tptp.eps (lambda @t1501 (or (and @t1499 @t1515) (and @t1500 @t1515))))))))))))))))))) % 2.42/2.63 (define @t1520 () (not (_ @t1513 tptp.emptyset))) % 2.42/2.63 (define @t1521 () (@list @t1513)) % 2.42/2.63 (define @t1522 () (forall (@list @t1512) (or (not (tptp.in @t1512 @t485)) (not (forall @t1521 (or @t1520 @t1519 (_ @t1513 @t1512))))))) % 2.42/2.63 (define @t1523 () (@var "BOUND_VARIABLE_68847" $$unsorted)) % 2.42/2.63 (define @t1524 () (@list @t1523)) % 2.42/2.63 (define @t1525 () (@var "BOUND_VARIABLE_68846" $$unsorted)) % 2.42/2.63 (define @t1526 () (@var "BOUND_VARIABLE_68845" $$unsorted)) % 2.42/2.63 (define @t1527 () (forall @t1521 (or @t1520 @t1519 (_ @t1513 @t1526)))) % 2.42/2.63 (define @t1528 () (= @t1525 @t1526)) % 2.42/2.63 (define @t1529 () (@list @t1525)) % 2.42/2.63 (define @t1530 () (@list @t1526)) % 2.42/2.63 (define @t1531 () (tptp.repl @t485 (lambda @t1530 (tptp.eps (lambda @t1529 (or (and @t1527 @t1528) (and (not @t1527) (= @t1525 (tptp.eps (lambda @t1524 (and (tptp.in @t1523 @t485) (forall @t1521 (or @t1520 @t1519 (_ @t1513 @t1523)))))))))))))) % 2.42/2.63 (define @t1532 () (@list @t1510)) % 2.42/2.63 (define @t1533 () (forall @t1532 (or (not (tptp.in @t1510 (tptp.eps (lambda (@list @t1511) (or (and (not @t1522) (= @t1511 @t1531)) (and @t1522 (= tptp.emptyset @t1511))))))) (= tptp.emptyset @t1510)))) % 2.42/2.63 (define @t1534 () (@var "BOUND_VARIABLE_68852" $$unsorted)) % 2.42/2.63 (define @t1535 () (forall @t1532 (or (not (tptp.in @t1510 @t485)) (not (forall @t1521 (or @t1520 @t1519 (_ @t1513 @t1510))))))) % 2.42/2.63 (define @t1536 () (@var "BOUND_VARIABLE_68855" $$unsorted)) % 2.42/2.63 (define @t1537 () (@var "BOUND_VARIABLE_68854" $$unsorted)) % 2.42/2.63 (define @t1538 () (@var "BOUND_VARIABLE_68853" $$unsorted)) % 2.42/2.63 (define @t1539 () (forall @t1521 (or @t1520 @t1519 (_ @t1513 @t1538)))) % 2.42/2.63 (define @t1540 () (not @t1535)) % 2.42/2.63 (define @t1541 () (= tptp.emptyset @t1526)) % 2.42/2.63 (define @t1542 () (@var "BOUND_VARIABLE_68844" $$unsorted)) % 2.42/2.63 (define @t1543 () (tptp.eps (lambda @t1506 (or (and (not @t1533) (= @t1503 (tptp.repl (tptp.eps (lambda (@list @t1542) (or (and @t1540 (= @t1542 @t1531)) (and @t1535 (= tptp.emptyset @t1542))))) (lambda @t1530 (tptp.eps (lambda @t1529 (or (and (not @t1541) @t1528) (and @t1541 (= @t1525 (tptp.eps (lambda @t1524 (and (tptp.in @t1523 (tptp.eps (lambda (@list @t1534) (or (and @t1540 (= @t1534 (tptp.repl @t485 (lambda (@list @t1538) (tptp.eps (lambda (@list @t1537) (or (and @t1539 (= @t1537 @t1538)) (and (not @t1539) (= @t1537 (tptp.eps (lambda (@list @t1536) (and (tptp.in @t1536 @t485) (forall @t1521 (or @t1520 @t1519 (_ @t1513 @t1536))))))))))))))) (and @t1535 (= tptp.emptyset @t1534)))))) (not (= tptp.emptyset @t1523)))))))))))))) (and @t1533 (= tptp.emptyset @t1503)))))) % 2.42/2.63 (define @t1544 () (@list @t1495 @t1494 @t1504 @t1513 @t1503 @t1498 @t1496 @t1508 @t1542 @t1526 @t1525 @t1523 @t1514 @t1517 @t1516 @t1510 @t1534 @t1538 @t1537 @t1536 @t1511 @t1512)) % 2.42/2.63 (define @t1545 () (forall @t622 (or (not (tptp.in @t9 @t578)) (not (tptp.in @t325 @t578)) @t356 @t326))) % 2.42/2.63 (define @t1546 () (@list false)) % 2.42/2.63 (define @t1547 () (lambda @t332 (or (and @t366 @t1378) (and @t367 @t1378)))) % 2.42/2.63 (define @t1548 () (lambda @t333 (_ tptp.eps @t1547))) % 2.42/2.63 (define @t1549 () (lambda @t375 (or (and @t372 @t1388) (and @t373 (= @t370 (_ @t170 @t1548)))))) % 2.42/2.63 (define @t1550 () (lambda @t377 (_ tptp.eps @t1549))) % 2.42/2.63 (define @t1551 () (_ @t170 @t1550)) % 2.42/2.63 (define @t1552 () (_ tptp.union @t1551)) % 2.42/2.63 (define @t1553 () (not (forall @t1400 (or (not (_ @t40 @t1377)) (_ @t40 @t1552))))) % 2.42/2.63 (define @t1554 () (forall @t385 (or @t384 (not (forall @t197 (or @t383 @t1553 @t363)))))) % 2.42/2.63 (define @t1555 () (lambda @t391 (and @t390 (forall @t197 (or @t383 @t1553 @t388))))) % 2.42/2.63 (define @t1556 () (_ tptp.eps @t1555)) % 2.42/2.63 (define @t1557 () (forall @t197 (or @t383 @t1553 @t396))) % 2.42/2.63 (define @t1558 () (lambda @t399 (or (and @t1557 @t398) (and (not @t1557) (= @t394 @t1556))))) % 2.42/2.63 (define @t1559 () (_ tptp.eps @t1558)) % 2.42/2.63 (define @t1560 () (lambda @t402 @t1559)) % 2.42/2.63 (define @t1561 () (_ @t404 @t1560)) % 2.42/2.63 (define @t1562 () (lambda @t406 (or (and (not @t1554) (= @t360 @t1561)) (and @t1554 @t361)))) % 2.42/2.63 (define @t1563 () (_ tptp.eps @t1562)) % 2.42/2.63 (define @t1564 () (forall @t410 (or (not (_ @t409 @t1563)) @t359))) % 2.42/2.63 (define @t1565 () (forall @t410 (or @t416 (not (forall @t197 (or @t383 @t1553 @t415)))))) % 2.42/2.63 (define @t1566 () (lambda @t422 (and @t421 (forall @t197 (or @t383 @t1553 @t419))))) % 2.42/2.63 (define @t1567 () (_ tptp.eps @t1566)) % 2.42/2.63 (define @t1568 () (forall @t197 (or @t383 @t1553 @t427))) % 2.42/2.63 (define @t1569 () (lambda @t430 (or (and @t1568 @t429) (and (not @t1568) (= @t425 @t1567))))) % 2.42/2.63 (define @t1570 () (_ tptp.eps @t1569)) % 2.42/2.63 (define @t1571 () (lambda @t433 @t1570)) % 2.42/2.63 (define @t1572 () (_ @t404 @t1571)) % 2.42/2.63 (define @t1573 () (not @t1565)) % 2.42/2.63 (define @t1574 () (lambda @t437 (or (and @t1573 (= @t413 @t1572)) (and @t1565 @t414)))) % 2.42/2.63 (define @t1575 () (_ tptp.eps @t1574)) % 2.42/2.63 (define @t1576 () (_ @t389 @t1575)) % 2.42/2.63 (define @t1577 () (lambda @t391 (and @t1576 @t412))) % 2.42/2.63 (define @t1578 () (_ tptp.eps @t1577)) % 2.42/2.63 (define @t1579 () (lambda @t399 (or @t444 (and @t443 (= @t394 @t1578))))) % 2.42/2.63 (define @t1580 () (_ tptp.eps @t1579)) % 2.42/2.63 (define @t1581 () (lambda @t402 @t1580)) % 2.42/2.63 (define @t1582 () (lambda @t450 (or (and @t1573 (= @t448 @t1561)) (and @t1565 @t449)))) % 2.42/2.63 (define @t1583 () (_ tptp.eps @t1582)) % 2.42/2.63 (define @t1584 () (_ (_ tptp.repl @t1583) @t1581)) % 2.42/2.63 (define @t1585 () (lambda @t27 (or (and (not @t1564) (= @t22 @t1584)) (and @t1564 @t357)))) % 2.42/2.63 (define @t1586 () (and @t421 @t1443)) % 2.42/2.63 (define @t1587 () (lambda @t422 @t1586)) % 2.42/2.63 (define @t1588 () (_ tptp.eps @t1587)) % 2.42/2.63 (define @t1589 () (= @t425 @t1588)) % 2.42/2.63 (define @t1590 () (and @t1450 @t1589)) % 2.42/2.63 (define @t1591 () (or @t1452 @t1590)) % 2.42/2.63 (define @t1592 () (lambda @t430 @t1591)) % 2.42/2.63 (define @t1593 () (lambda @t433 (_ tptp.eps @t1592))) % 2.42/2.63 (define @t1594 () (_ @t404 @t1593)) % 2.42/2.63 (define @t1595 () (= @t413 @t1594)) % 2.42/2.63 (define @t1596 () (and @t1459 @t1595)) % 2.42/2.63 (define @t1597 () (or @t1596 @t1441)) % 2.42/2.63 (define @t1598 () (lambda @t437 @t1597)) % 2.42/2.63 (define @t1599 () (and (_ @t389 (_ tptp.eps @t1598)) @t412)) % 2.42/2.63 (define @t1600 () (lambda @t391 @t1599)) % 2.42/2.63 (define @t1601 () (= @t394 (_ tptp.eps @t1600))) % 2.42/2.63 (define @t1602 () (and @t443 @t1601)) % 2.42/2.63 (define @t1603 () (or @t444 @t1602)) % 2.42/2.63 (define @t1604 () (lambda @t399 @t1603)) % 2.42/2.63 (define @t1605 () (lambda @t402 (_ tptp.eps @t1604))) % 2.42/2.63 (define @t1606 () (and @t390 @t1410)) % 2.42/2.63 (define @t1607 () (lambda @t391 @t1606)) % 2.42/2.63 (define @t1608 () (= @t394 (_ tptp.eps @t1607))) % 2.42/2.63 (define @t1609 () (and @t1417 @t1608)) % 2.42/2.63 (define @t1610 () (or @t1419 @t1609)) % 2.42/2.63 (define @t1611 () (lambda @t399 @t1610)) % 2.42/2.63 (define @t1612 () (lambda @t402 (_ tptp.eps @t1611))) % 2.42/2.63 (define @t1613 () (_ @t404 @t1612)) % 2.42/2.63 (define @t1614 () (= @t448 @t1613)) % 2.42/2.63 (define @t1615 () (and @t1459 @t1614)) % 2.42/2.63 (define @t1616 () (or @t1615 @t1474)) % 2.42/2.63 (define @t1617 () (lambda @t450 @t1616)) % 2.42/2.63 (define @t1618 () (= @t22 (_ (_ tptp.repl (_ tptp.eps @t1617)) @t1605))) % 2.42/2.63 (define @t1619 () (and @t1482 @t1618)) % 2.42/2.63 (define @t1620 () (or @t1619 @t1435)) % 2.42/2.63 (define @t1621 () (lambda @t27 @t1620)) % 2.42/2.63 (define @t1622 () (_ tptp.eps @t1621)) % 2.42/2.63 (define @t1623 () (tptp.in @t1362 @t1622)) % 2.42/2.63 (define @t1624 () (not @t1623)) % 2.42/2.63 (define @t1625 () (tptp.in @t9 @t1622)) % 2.42/2.63 (define @t1626 () (not @t1625)) % 2.42/2.63 (define @t1627 () (or @t1626 @t1624 @t1363 @t1376)) % 2.42/2.63 (define @t1628 () (= @t1377 @t327)) % 2.42/2.63 (define @t1629 () (and @t331 @t1628)) % 2.42/2.63 (define @t1630 () (and @t330 @t1628)) % 2.42/2.63 (define @t1631 () (or @t1630 @t1629)) % 2.42/2.63 (define @t1632 () (lambda @t332 @t1631)) % 2.42/2.63 (define @t1633 () (tptp.eps @t1632)) % 2.42/2.63 (define @t1634 () (lambda @t333 @t1633)) % 2.42/2.63 (define @t1635 () (tptp.repl @t335 @t1634)) % 2.42/2.63 (define @t1636 () (= @t1635 @t370)) % 2.42/2.63 (define @t1637 () (and @t465 @t1636)) % 2.42/2.63 (define @t1638 () (and @t464 (= @t1377 @t370))) % 2.42/2.63 (define @t1639 () (or @t1638 @t1637)) % 2.42/2.63 (define @t1640 () (lambda @t375 @t1639)) % 2.42/2.63 (define @t1641 () (tptp.eps @t1640)) % 2.42/2.63 (define @t1642 () (lambda @t377 @t1641)) % 2.42/2.63 (define @t1643 () (tptp.repl @t335 @t1642)) % 2.42/2.63 (define @t1644 () (tptp.union @t1643)) % 2.42/2.63 (define @t1645 () (_ @t40 @t1644)) % 2.42/2.63 (define @t1646 () (or @t1398 @t1645)) % 2.42/2.63 (define @t1647 () (forall @t1400 @t1646)) % 2.42/2.63 (define @t1648 () (not @t1647)) % 2.42/2.63 (define @t1649 () (or @t481 @t1648 @t455)) % 2.42/2.63 (define @t1650 () (forall @t197 @t1649)) % 2.42/2.63 (define @t1651 () (not @t1650)) % 2.42/2.63 (define @t1652 () (or @t487 @t1651)) % 2.42/2.63 (define @t1653 () (forall @t385 @t1652)) % 2.42/2.63 (define @t1654 () (and @t1653 @t361)) % 2.42/2.63 (define @t1655 () (or @t481 @t1648 @t491)) % 2.42/2.63 (define @t1656 () (forall @t197 @t1655)) % 2.42/2.63 (define @t1657 () (and @t494 @t1656)) % 2.42/2.63 (define @t1658 () (lambda @t391 @t1657)) % 2.42/2.63 (define @t1659 () (tptp.eps @t1658)) % 2.42/2.63 (define @t1660 () (= @t394 @t1659)) % 2.42/2.63 (define @t1661 () (or @t481 @t1648 @t499)) % 2.42/2.63 (define @t1662 () (forall @t197 @t1661)) % 2.42/2.63 (define @t1663 () (not @t1662)) % 2.42/2.63 (define @t1664 () (and @t1663 @t1660)) % 2.42/2.63 (define @t1665 () (and @t1662 @t398)) % 2.42/2.63 (define @t1666 () (or @t1665 @t1664)) % 2.42/2.63 (define @t1667 () (lambda @t399 @t1666)) % 2.42/2.63 (define @t1668 () (tptp.eps @t1667)) % 2.42/2.63 (define @t1669 () (lambda @t402 @t1668)) % 2.42/2.63 (define @t1670 () (tptp.repl @t485 @t1669)) % 2.42/2.63 (define @t1671 () (= @t1670 @t360)) % 2.42/2.63 (define @t1672 () (not @t1653)) % 2.42/2.63 (define @t1673 () (and @t1672 @t1671)) % 2.42/2.63 (define @t1674 () (or @t1673 @t1654)) % 2.42/2.63 (define @t1675 () (lambda @t406 @t1674)) % 2.42/2.63 (define @t1676 () (tptp.eps @t1675)) % 2.42/2.63 (define @t1677 () (tptp.in @t358 @t1676)) % 2.42/2.63 (define @t1678 () (not @t1677)) % 2.42/2.63 (define @t1679 () (or @t1678 @t359)) % 2.42/2.63 (define @t1680 () (forall @t410 @t1679)) % 2.42/2.63 (define @t1681 () (and @t1680 @t357)) % 2.42/2.63 (define @t1682 () (or @t481 @t1648 @t521)) % 2.42/2.63 (define @t1683 () (forall @t197 @t1682)) % 2.42/2.63 (define @t1684 () (not @t1683)) % 2.42/2.63 (define @t1685 () (or @t527 @t1684)) % 2.42/2.63 (define @t1686 () (forall @t410 @t1685)) % 2.42/2.63 (define @t1687 () (and @t1686 @t414)) % 2.42/2.63 (define @t1688 () (or @t481 @t1648 @t531)) % 2.42/2.63 (define @t1689 () (forall @t197 @t1688)) % 2.42/2.63 (define @t1690 () (and @t421 @t1689)) % 2.42/2.63 (define @t1691 () (lambda @t422 @t1690)) % 2.42/2.63 (define @t1692 () (= (_ tptp.eps @t1691) @t425)) % 2.42/2.63 (define @t1693 () (or @t481 @t1648 @t539)) % 2.42/2.63 (define @t1694 () (forall @t197 @t1693)) % 2.42/2.63 (define @t1695 () (not @t1694)) % 2.42/2.63 (define @t1696 () (and @t1695 @t1692)) % 2.42/2.63 (define @t1697 () (and @t1694 @t429)) % 2.42/2.63 (define @t1698 () (or @t1697 @t1696)) % 2.42/2.63 (define @t1699 () (lambda @t430 @t1698)) % 2.42/2.63 (define @t1700 () (lambda @t433 (_ tptp.eps @t1699))) % 2.42/2.63 (define @t1701 () (= (_ @t404 @t1700) @t413)) % 2.42/2.63 (define @t1702 () (not @t1686)) % 2.42/2.63 (define @t1703 () (and @t1702 @t1701)) % 2.42/2.63 (define @t1704 () (or @t1703 @t1687)) % 2.42/2.63 (define @t1705 () (lambda @t437 @t1704)) % 2.42/2.63 (define @t1706 () (and (_ @t389 (_ tptp.eps @t1705)) @t412)) % 2.42/2.63 (define @t1707 () (lambda @t391 @t1706)) % 2.42/2.63 (define @t1708 () (= @t394 (_ tptp.eps @t1707))) % 2.42/2.63 (define @t1709 () (and @t443 @t1708)) % 2.42/2.63 (define @t1710 () (or @t444 @t1709)) % 2.42/2.63 (define @t1711 () (lambda @t399 @t1710)) % 2.42/2.63 (define @t1712 () (lambda @t402 (_ tptp.eps @t1711))) % 2.42/2.63 (define @t1713 () (and @t1686 @t449)) % 2.42/2.63 (define @t1714 () (and @t390 @t1656)) % 2.42/2.63 (define @t1715 () (lambda @t391 @t1714)) % 2.42/2.63 (define @t1716 () (= @t394 (_ tptp.eps @t1715))) % 2.42/2.63 (define @t1717 () (and @t1663 @t1716)) % 2.42/2.63 (define @t1718 () (or @t1665 @t1717)) % 2.42/2.63 (define @t1719 () (lambda @t399 @t1718)) % 2.42/2.63 (define @t1720 () (lambda @t402 (_ tptp.eps @t1719))) % 2.42/2.63 (define @t1721 () (= (_ @t404 @t1720) @t448)) % 2.42/2.63 (define @t1722 () (and @t1702 @t1721)) % 2.42/2.63 (define @t1723 () (or @t1722 @t1713)) % 2.42/2.63 (define @t1724 () (lambda @t450 @t1723)) % 2.42/2.63 (define @t1725 () (= @t22 (_ (_ tptp.repl (_ tptp.eps @t1724)) @t1712))) % 2.42/2.63 (define @t1726 () (not @t1680)) % 2.42/2.63 (define @t1727 () (and @t1726 @t1725)) % 2.42/2.63 (define @t1728 () (or @t1727 @t1681)) % 2.42/2.63 (define @t1729 () (lambda @t27 @t1728)) % 2.42/2.63 (define @t1730 () (_ tptp.eps @t1729)) % 2.42/2.63 (define @t1731 () (tptp.in @t1362 @t1730)) % 2.42/2.63 (define @t1732 () (not @t1731)) % 2.42/2.63 (define @t1733 () (tptp.in @t9 @t1730)) % 2.42/2.63 (define @t1734 () (not @t1733)) % 2.42/2.63 (define @t1735 () (or @t1734 @t1732 @t1363 @t1376)) % 2.42/2.63 (define @t1736 () (tptp.in @t1362 @t832)) % 2.42/2.63 (define @t1737 () (not @t1736)) % 2.42/2.63 (define @t1738 () (or @t836 @t1737 @t1363 @t1376)) % 2.42/2.63 (define @t1739 () (_ @t838 @t1374 @t1369)) % 2.42/2.63 (define @t1740 () (not @t1739)) % 2.42/2.63 (define @t1741 () (_ @t838 @t9 @t1362)) % 2.42/2.63 (define @t1742 () (or @t836 @t1737 @t1741 @t1740)) % 2.42/2.63 (define @t1743 () (forall @t1491 @t1742)) % 2.42/2.63 (define @t1744 () (not (tptp.n_is @t1374 @t1369))) % 2.42/2.63 (define @t1745 () (tptp.in @t1362 tptp.nat)) % 2.42/2.63 (define @t1746 () (not @t1745)) % 2.42/2.63 (define @t1747 () (tptp.n_is @t9 @t1362)) % 2.42/2.63 (define @t1748 () (or @t1231 @t1746 @t1747 @t1744)) % 2.42/2.63 (define @t1749 () (forall @t1491 @t1748)) % 2.42/2.63 (define @t1750 () (or @t1746 @t1747 @t1744)) % 2.42/2.63 (define @t1751 () (or @t1231 @t1750)) % 2.42/2.63 (define @t1752 () (forall @t1491 @t1751)) % 2.42/2.63 (define @t1753 () (@list @t1362)) % 2.42/2.63 (define @t1754 () (forall @t1753 @t1751)) % 2.42/2.63 (define @t1755 () (forall @t1753 @t1750)) % 2.42/2.63 (define @t1756 () (@var "BOUND_VARIABLE_38649" $$unsorted)) % 2.42/2.63 (define @t1757 () (@list @t1756)) % 2.42/2.63 (define @t1758 () (or @t1231 @t1755)) % 2.42/2.63 (define @t1759 () (= @t327 @t1756)) % 2.42/2.63 (define @t1760 () (tptp.n_is @t9 @t1756)) % 2.42/2.63 (define @t1761 () (not (tptp.in @t1756 tptp.nat))) % 2.42/2.63 (define @t1762 () (@list @t1756)) % 2.42/2.63 (define @t1763 () (= @t1756 @t327)) % 2.42/2.63 (define @t1764 () (and @t331 @t1763)) % 2.42/2.63 (define @t1765 () (and @t330 @t1763)) % 2.42/2.63 (define @t1766 () (or @t1765 @t1764)) % 2.42/2.63 (define @t1767 () (lambda @t332 @t1766)) % 2.42/2.63 (define @t1768 () (tptp.eps @t1767)) % 2.42/2.63 (define @t1769 () (lambda @t333 @t1768)) % 2.42/2.63 (define @t1770 () (tptp.repl @t335 @t1769)) % 2.42/2.63 (define @t1771 () (= @t22 @t1770)) % 2.42/2.63 (define @t1772 () (and @t1367 @t1771)) % 2.42/2.63 (define @t1773 () (and @t1366 (= @t1756 @t22))) % 2.42/2.63 (define @t1774 () (or @t1773 @t1772)) % 2.42/2.63 (define @t1775 () (lambda @t27 @t1774)) % 2.42/2.63 (define @t1776 () (tptp.eps @t1775)) % 2.42/2.63 (define @t1777 () (lambda @t1368 @t1776)) % 2.42/2.63 (define @t1778 () (tptp.repl @t335 @t1777)) % 2.42/2.63 (define @t1779 () (tptp.union @t1778)) % 2.42/2.63 (define @t1780 () (tptp.n_is @t1374 @t1779)) % 2.42/2.63 (define @t1781 () (not @t1780)) % 2.42/2.63 (define @t1782 () (or @t1761 @t1760 @t1781)) % 2.42/2.63 (define @t1783 () (forall @t1762 @t1782)) % 2.42/2.63 (define @t1784 () (and @t1372 @t1275)) % 2.42/2.63 (define @t1785 () (and @t1371 @t1085)) % 2.42/2.63 (define @t1786 () (or @t1785 @t1784)) % 2.42/2.63 (define @t1787 () (lambda @t27 @t1786)) % 2.42/2.63 (define @t1788 () (tptp.eps @t1787)) % 2.42/2.63 (define @t1789 () (lambda @t1373 @t1788)) % 2.42/2.63 (define @t1790 () (tptp.repl @t335 @t1789)) % 2.42/2.63 (define @t1791 () (tptp.union @t1790)) % 2.42/2.63 (define @t1792 () (and @t1367 @t349)) % 2.42/2.63 (define @t1793 () (and @t1366 @t81)) % 2.42/2.63 (define @t1794 () (or @t1793 @t1792)) % 2.42/2.63 (define @t1795 () (lambda @t27 @t1794)) % 2.42/2.63 (define @t1796 () (tptp.eps @t1795)) % 2.42/2.63 (define @t1797 () (lambda @t1368 @t1796)) % 2.42/2.63 (define @t1798 () (tptp.repl @t335 @t1797)) % 2.42/2.63 (define @t1799 () (tptp.union @t1798)) % 2.42/2.63 (define @t1800 () (tptp.n_is @t1791 @t1799)) % 2.42/2.63 (define @t1801 () (forall @t13 (or @t1231 @t1284 (not @t1800)))) % 2.42/2.63 (define @t1802 () (lambda @t16 @t1801)) % 2.42/2.63 (define @t1803 () (or @t1231 (_ @t1802 @t9))) % 2.42/2.63 (define @t1804 () (forall @t13 @t1803)) % 2.42/2.63 (define @t1805 () (_ @t49 @t1365)) % 2.42/2.63 (define @t1806 () (not @t1805)) % 2.42/2.63 (define @t1807 () (and @t1806 @t1064)) % 2.42/2.63 (define @t1808 () (and @t1805 @t81)) % 2.42/2.63 (define @t1809 () (or @t1808 @t1807)) % 2.42/2.63 (define @t1810 () (lambda @t27 @t1809)) % 2.42/2.63 (define @t1811 () (_ tptp.eps @t1810)) % 2.42/2.63 (define @t1812 () (lambda @t1368 @t1811)) % 2.42/2.63 (define @t1813 () (_ @t170 @t1812)) % 2.42/2.63 (define @t1814 () (_ tptp.union @t1813)) % 2.42/2.63 (define @t1815 () (_ @t49 @t1370)) % 2.42/2.63 (define @t1816 () (not @t1815)) % 2.42/2.63 (define @t1817 () (and @t1816 @t1084)) % 2.42/2.63 (define @t1818 () (and @t1815 @t1085)) % 2.42/2.63 (define @t1819 () (or @t1818 @t1817)) % 2.42/2.63 (define @t1820 () (lambda @t27 @t1819)) % 2.42/2.63 (define @t1821 () (_ tptp.eps @t1820)) % 2.42/2.63 (define @t1822 () (lambda @t1373 @t1821)) % 2.42/2.63 (define @t1823 () (_ @t170 @t1822)) % 2.42/2.63 (define @t1824 () (_ tptp.union @t1823)) % 2.42/2.63 (define @t1825 () (_ tptp.n_is @t1824)) % 2.42/2.63 (define @t1826 () (_ @t1825 @t1814)) % 2.42/2.63 (define @t1827 () (not @t1826)) % 2.42/2.63 (define @t1828 () (or @t1231 @t1299 @t1827)) % 2.42/2.63 (define @t1829 () (not @t1299)) % 2.42/2.63 (define @t1830 () (=> @t1829 @t1827)) % 2.42/2.63 (define @t1831 () (or @t1231 @t1830)) % 2.42/2.63 (define @t1832 () (not @t137)) % 2.42/2.63 (define @t1833 () (not @t1331)) % 2.42/2.63 (define @t1834 () (=> @t1832 @t1833)) % 2.42/2.63 (define @t1835 () (lambda @t8 @t1834)) % 2.42/2.63 (define @t1836 () (or @t1231 (_ @t1835 @t9))) % 2.42/2.63 (define @t1837 () (forall @t13 @t1836)) % 2.42/2.63 (define @t1838 () (lambda @t8 (not (_ @t1330 @t1)))) % 2.42/2.63 (define @t1839 () (lambda @t5 @t1832)) % 2.42/2.63 (define @t1840 () (lambda @t8 @t1832)) % 2.42/2.63 (define @t1841 () (_ @t1839 @t2)) % 2.42/2.63 (define @t1842 () (=> (_ @t1841 @t1) (_ (_ @t1839 @t1337) @t1336))) % 2.42/2.63 (define @t1843 () (lambda @t8 @t1842)) % 2.42/2.63 (define @t1844 () (lambda @t16 (_ @t1350 @t1843))) % 2.42/2.63 (define @t1845 () (= @t137 true)) % 2.42/2.63 (define @t1846 () (not @t1845)) % 2.42/2.63 (define @t1847 () (@var "BOUND_VARIABLE_11412" Bool)) % 2.42/2.63 (define @t1848 () (= @t1847 true)) % 2.42/2.63 (define @t1849 () (@list @t1847)) % 2.42/2.63 (define @t1850 () (lambda @t1849 (ite @t1848 false true))) % 2.42/2.63 (define @t1851 () (lambda (@list @t211) @t212)) % 2.42/2.63 (assume @p1 (forall @t5 (=> (_ (_ tptp.d_Subq @t2) @t1) (=> @t4 @t3)))) % 2.42/2.63 (assume @p2 (forall @t14 (=> (forall @t8 (=> (forall @t13 (=> @t12 @t10)) @t7)) (forall @t8 @t7)))) % 2.42/2.63 (assume @p3 (not (exists @t16 (_ @t15 tptp.emptyset)))) % 2.42/2.63 (assume @p4 (forall @t5 (= (_ @t18 (_ tptp.union @t2)) (exists @t13 (and @t19 @t17))))) % 2.42/2.63 (assume @p5 (forall @t5 (= @t21 @t4))) % 2.42/2.63 (assume @p6 (forall @t30 (= (_ @t11 @t29) (exists @t27 (and @t26 (= @t9 @t24)))))) % 2.42/2.63 (assume @p7 (forall @t16 (_ @t15 @t31))) % 2.42/2.63 (assume @p8 (forall @t16 (_ tptp.d_ZF_closed @t31))) % 2.42/2.63 (assume @p9 (forall @t39 (or (and @t32 @t38) (and @t37 @t36)))) % 2.42/2.63 (assume @p10 (forall @t39 (=> @t37 @t36))) % 2.42/2.63 (assume @p11 (forall @t39 (=> @t32 @t38))) % 2.42/2.63 (assume @p12 (forall @t39 (or @t38 @t36))) % 2.42/2.63 (assume @p13 (forall @t5 (=> @t21 @t4))) % 2.42/2.63 (assume @p14 (forall @t5 (=> @t4 @t21))) % 2.42/2.63 (assume @p15 (forall @t16 (_ @t15 @t20))) % 2.42/2.63 (assume @p16 (forall @t45 (=> @t17 (=> @t44 @t43)))) % 2.42/2.63 (assume @p17 (forall @t45 (=> @t43 @t17))) % 2.42/2.63 (assume @p18 (forall @t45 (=> @t43 @t44))) % 2.42/2.63 (assume @p19 (forall @t16 (not (= @t46 tptp.emptyset)))) % 2.42/2.63 (assume @p20 (forall @t5 (=> (= @t46 @t47) @t3))) % 2.42/2.63 (assume @p21 (_ @t49 @t48)) % 2.42/2.63 (assume @p22 (forall @t16 (=> @t50 (_ tptp.nat_p @t46)))) % 2.42/2.63 (assume @p23 (_ tptp.nat_p @t48)) % 2.42/2.63 (assume @p24 (forall @t14 (=> (_ @t6 tptp.emptyset) (=> (forall @t8 (=> @t51 (=> @t7 (_ @t6 @t47)))) (forall @t8 (=> @t51 @t7)))))) % 2.42/2.63 (assume @p25 (forall @t16 (=> @t50 (or @t52 (exists @t8 (and @t51 (= @t2 @t47))))))) % 2.42/2.63 (assume @p26 @t54) % 2.42/2.63 (assume @p27 (forall @t16 (=> @t55 @t50))) % 2.42/2.63 (assume @p28 (forall @t16 (=> @t50 @t55))) % 2.42/2.63 (assume @p29 (= tptp.d_Inj1 (_ tptp.d_In_rec (lambda @t57 (_ (_ tptp.binunion @t56) @t29))))) % 2.42/2.63 (assume @p30 (= tptp.d_Unj (_ tptp.d_In_rec (lambda (@list @t2 @t58) (_ (_ tptp.repl (_ (_ tptp.setminus @t2) @t56)) @t58))))) % 2.42/2.63 (assume @p31 (forall @t5 (= (_ tptp.proj0 @t59) @t2))) % 2.42/2.63 (assume @p32 (forall @t5 (= (_ tptp.proj1 @t59) @t1))) % 2.42/2.63 (assume @p33 (forall @t30 (=> @t17 (forall @t27 (=> (_ @t25 @t63) (_ (_ tptp.in (_ @t62 @t22)) @t61)))))) % 2.42/2.63 (assume @p34 (forall @t30 (=> @t69 (and @t68 @t67 @t66)))) % 2.42/2.63 (assume @p35 (forall @t30 (=> @t69 @t68))) % 2.42/2.63 (assume @p36 (forall @t30 (=> @t69 @t67))) % 2.42/2.63 (assume @p37 (forall @t30 (=> @t69 @t66))) % 2.42/2.63 (assume @p38 (forall @t30 (=> @t17 (= (_ (_ tptp.ap @t61) @t9) @t63)))) % 2.42/2.63 (assume @p39 (forall @t76 (=> (forall @t27 (=> @t26 (_ @t75 @t24))) (_ (_ tptp.in @t73) @t71)))) % 2.42/2.63 (assume @p40 (forall (@list @t2 @t23 @t9 @t22) (=> @t80 @t79))) % 2.42/2.63 (assume @p41 (forall @t30 (=> @t80 (forall @t27 (=> (_ @t25 @t71) (=> (forall @t88 (=> @t87 (= @t85 @t84))) @t81)))))) % 2.42/2.63 (assume @p42 (forall @t76 (=> (forall @t27 (=> @t26 (= @t24 @t74))) (= @t61 @t73)))) % 2.42/2.63 (assume @p43 (forall @t39 (=> (=> @t32 @t19) (_ (_ tptp.in (_ @t34 tptp.emptyset)) (_ @t89 @t48))))) % 2.42/2.63 (assume @p44 (forall @t90 (=> @t32 (=> (_ @t18 (_ @t89 @t22)) @t19)))) % 2.42/2.63 (assume @p45 (forall @t91 (=> (_ tptp.wel @t32) @t32))) % 2.42/2.63 (assume @p46 (= tptp.obvious (_ (_ tptp.imp false) false))) % 2.42/2.63 (assume @p47 (forall @t16 (_ @t94 (lambda @t8 (_ (_ @t92 @t1) @t1))))) % 2.42/2.63 (assume @p48 (forall @t101 (_ @t100 (lambda @t13 (_ @t98 (lambda @t27 (=> @t44 (=> @t96 @t95)))))))) % 2.42/2.63 (assume @p49 (forall @t101 (=> @t104 (_ (_ tptp.is_of @t103) @t99)))) % 2.42/2.63 (assume @p50 (forall @t101 (=> @t104 (_ @t40 @t103)))) % 2.42/2.63 (assume @p51 (forall @t5 (_ (_ tptp.all_of (lambda @t13 (_ @t11 (_ @t70 (lambda @t27 @t1))))) (lambda @t13 (_ (_ tptp.all_of (lambda @t27 (_ @t25 @t105))) (lambda @t27 (=> (_ @t107 (lambda @t88 (_ (_ @t106 @t85) @t84))) (_ (_ (_ tptp.e_is @t105) @t9) @t22)))))))) % 2.42/2.63 (assume @p52 (forall @t101 (_ @t110 (lambda @t13 (_ (_ tptp.is_of @t109) @t97))))) % 2.42/2.63 (assume @p53 (forall @t101 (_ @t110 (lambda @t13 (_ @t40 @t109))))) % 2.42/2.63 (assume @p54 (forall @t101 (_ (_ (_ tptp.injective @t42) @t2) @t111))) % 2.42/2.63 (assume @p55 (forall @t101 (_ @t100 (lambda @t13 (=> @t44 (_ (_ (_ (_ tptp.image @t42) @t2) @t111) @t9)))))) % 2.42/2.63 (assume @p56 (forall @t5 (_ @t100 (lambda @t13 (_ @t117 (lambda @t27 (_ (_ tptp.is_of @t114) (lambda @t88 (_ @t86 @t112))))))))) % 2.42/2.63 (assume @p57 (forall @t5 (_ @t120 (lambda @t13 (_ (_ tptp.is_of @t119) @t97))))) % 2.42/2.63 (assume @p58 (forall @t5 (_ @t120 (lambda @t13 (_ (_ tptp.is_of @t122) @t116))))) % 2.42/2.63 (assume @p59 (forall @t5 (_ @t120 (lambda @t13 (_ (_ (_ tptp.e_is @t112) (_ (_ @t113 @t119) @t122)) @t9))))) % 2.42/2.63 (assume @p60 (forall @t5 (_ @t100 (lambda @t13 (_ @t117 (lambda @t27 (_ (_ @t92 (_ @t118 @t114)) @t9))))))) % 2.42/2.63 (assume @p61 (forall @t5 (_ @t100 (lambda @t13 (_ @t117 (lambda @t27 (_ (_ @t106 (_ @t121 @t114)) @t22))))))) % 2.42/2.63 (assume @p62 (forall @t101 (_ (_ tptp.is_of @t42) @t123))) % 2.42/2.63 (assume @p63 (forall @t101 (_ @t100 (lambda @t13 (=> @t44 @t126))))) % 2.42/2.63 (assume @p64 (forall @t101 (_ @t100 (lambda @t13 (=> @t126 @t44))))) % 2.42/2.63 (assume @p65 (forall @t16 (_ (_ tptp.all_of (lambda @t8 @t21)) (lambda @t8 (_ (_ tptp.all_of @t123) (lambda @t13 (=> (_ (_ @t128 @t1) @t9) (=> (_ (_ @t128 @t9) @t1) (_ (_ @t127 @t1) @t9))))))))) % 2.42/2.63 (assume @p66 @t130) % 2.42/2.63 (assume @p67 @t131) % 2.42/2.63 (assume @p68 (= tptp.n_in (_ tptp.esti tptp.nat))) % 2.42/2.63 (assume @p69 (= tptp.n_some (_ tptp.l_some tptp.nat))) % 2.42/2.63 (assume @p70 (= tptp.n_all (_ tptp.all tptp.nat))) % 2.42/2.63 (assume @p71 (= tptp.n_one (_ tptp.one tptp.nat))) % 2.42/2.63 (assume @p72 (= tptp.n_1 @t48)) % 2.42/2.63 (assume @p73 (_ (_ tptp.is_of tptp.n_1) @t132)) % 2.42/2.63 (assume @p74 (_ @t134 (lambda @t16 (_ (_ tptp.is_of @t46) @t133)))) % 2.42/2.63 (assume @p75 (_ @t134 (lambda @t16 (_ @t135 tptp.n_1)))) % 2.42/2.63 (assume @p76 (_ @t134 @t141)) % 2.42/2.63 (assume @p77 (= tptp.cond1 (_ tptp.n_in tptp.n_1))) % 2.42/2.63 (assume @p78 (_ (_ tptp.all_of (lambda @t16 (_ @t15 (_ tptp.power tptp.nat)))) (lambda @t16 (=> (_ tptp.cond1 @t2) (=> (_ tptp.cond2 @t2) (_ @t140 (lambda @t8 @t142))))))) % 2.42/2.63 (assume @p79 (= tptp.i1_s (_ tptp.d_Sep tptp.nat))) % 2.42/2.63 (assume @p80 @t146) % 2.42/2.63 (assume @p81 true) % 2.42/2.63 (step @p82 (= tptp.is_of @t148) :rule refl :args (@t148)) % 2.42/2.63 (step @p83 (= tptp.all_of @t152) :rule refl :args (@t152)) % 2.42/2.63 (step @p84 (= tptp.d_Subq @t153) :rule refl :args (@t153)) % 2.42/2.63 (step @p85 (= tptp.d_Union_closed @t154) :rule refl :args (@t154)) % 2.42/2.63 (step @p86 (= tptp.d_Power_closed @t155) :rule refl :args (@t155)) % 2.42/2.63 (step @p87 (= tptp.d_Repl_closed @t157) :rule refl :args (@t157)) % 2.42/2.63 (step @p88 (= tptp.d_ZF_closed @t158) :rule refl :args (@t158)) % 2.42/2.63 (step @p89 (= tptp.if @t164) :rule refl :args (@t164)) % 2.42/2.63 (step @p90 (= tptp.nIn @t165) :rule refl :args (@t165)) % 2.42/2.63 (step @p91 (= tptp.d_UPair @t171) :rule refl :args (@t171)) % 2.42/2.63 (step @p92 (= tptp.d_Sing @t173) :rule refl :args (@t173)) % 2.42/2.63 (step @p93 (= tptp.binunion @t174) :rule refl :args (@t174)) % 2.42/2.63 (step @p94 (= tptp.famunion @t175) :rule refl :args (@t175)) % 2.42/2.63 (step @p95 (= tptp.d_Sep @t180) :rule refl :args (@t180)) % 2.42/2.63 (step @p96 (= tptp.d_ReplSep @t181) :rule refl :args (@t181)) % 2.42/2.63 (step @p97 (= tptp.setminus @t182) :rule refl :args (@t182)) % 2.42/2.63 (step @p98 (= tptp.d_In_rec_G @t189) :rule refl :args (@t189)) % 2.42/2.63 (step @p99 (= tptp.d_In_rec @t190) :rule refl :args (@t190)) % 2.42/2.63 (step @p100 (= tptp.ordsucc @t191) :rule refl :args (@t191)) % 2.42/2.63 (step @p101 (= tptp.nat_p @t199) :rule refl :args (@t199)) % 2.42/2.63 (step @p102 (= tptp.d_Inj0 @t200) :rule refl :args (@t200)) % 2.42/2.63 (step @p103 (= tptp.pair @t201) :rule refl :args (@t201)) % 2.42/2.63 (step @p104 (= tptp.proj0 @t203) :rule refl :args (@t203)) % 2.42/2.63 (step @p105 (= tptp.proj1 @t204) :rule refl :args (@t204)) % 2.42/2.63 (step @p106 (= tptp.d_Sigma @t205) :rule refl :args (@t205)) % 2.42/2.63 (step @p107 (= tptp.setprod @t206) :rule refl :args (@t206)) % 2.42/2.63 (step @p108 (= tptp.ap @t207) :rule refl :args (@t207)) % 2.42/2.63 (step @p109 (= tptp.pair_p @t209) :rule refl :args (@t209)) % 2.42/2.63 (step @p110 (= tptp.d_Pi @t210) :rule refl :args (@t210)) % 2.42/2.63 (step @p111 (= tptp.imp @t214) :rule refl :args (@t214)) % 2.42/2.63 (step @p112 (= tptp.d_not @t216) :rule refl :args (@t216)) % 2.42/2.63 (step @p113 (= tptp.wel @t218) :rule refl :args (@t218)) % 2.42/2.63 (step @p114 (= tptp.l_ec @t220) :rule refl :args (@t220)) % 2.42/2.63 (step @p115 (= tptp.d_and @t222) :rule refl :args (@t222)) % 2.42/2.63 (step @p116 (= tptp.l_or @t225) :rule refl :args (@t225)) % 2.42/2.63 (step @p117 (= tptp.orec @t227) :rule refl :args (@t227)) % 2.42/2.63 (step @p118 (= tptp.l_iff @t228) :rule refl :args (@t228)) % 2.42/2.63 (step @p119 (= tptp.all @t230) :rule refl :args (@t230)) % 2.42/2.63 (step @p120 (= tptp.non @t231) :rule refl :args (@t231)) % 2.42/2.63 (step @p121 (= tptp.l_some @t233) :rule refl :args (@t233)) % 2.42/2.63 (step @p122 (= tptp.or3 @t236) :rule refl :args (@t236)) % 2.42/2.63 (step @p123 (= tptp.and3 @t237) :rule refl :args (@t237)) % 2.42/2.63 (step @p124 (= tptp.ec3 @t238) :rule refl :args (@t238)) % 2.42/2.63 (step @p125 (= tptp.orec3 @t239) :rule refl :args (@t239)) % 2.42/2.63 (step @p126 (= tptp.e_is @t243) :rule refl :args (@t243)) % 2.42/2.63 (step @p127 (= tptp.amone @t244) :rule refl :args (@t244)) % 2.42/2.63 (step @p128 (= tptp.one @t246) :rule refl :args (@t246)) % 2.42/2.63 (step @p129 (= tptp.ind @t247) :rule refl :args (@t247)) % 2.42/2.63 (step @p130 (= tptp.injective @t251) :rule refl :args (@t251)) % 2.42/2.63 (step @p131 (= tptp.image @t254) :rule refl :args (@t254)) % 2.42/2.63 (step @p132 (= tptp.tofs @t258) :rule refl :args (@t258)) % 2.42/2.63 (step @p133 (= tptp.soft @t259) :rule refl :args (@t259)) % 2.42/2.63 (step @p134 (= tptp.inverse @t263) :rule refl :args (@t263)) % 2.42/2.63 (step @p135 (= tptp.surjective @t264) :rule refl :args (@t264)) % 2.42/2.63 (step @p136 (= tptp.bijective @t265) :rule refl :args (@t265)) % 2.42/2.63 (step @p137 (= tptp.invf @t266) :rule refl :args (@t266)) % 2.42/2.63 (step @p138 (= tptp.inj_h @t271) :rule refl :args (@t271)) % 2.42/2.63 (step @p139 (= tptp.e_in @t272) :rule refl :args (@t272)) % 2.42/2.63 (step @p140 (= tptp.out @t273) :rule refl :args (@t273)) % 2.42/2.63 (step @p141 (= tptp.d_pair @t274) :rule refl :args (@t274)) % 2.42/2.63 (step @p142 (= tptp.first @t276) :rule refl :args (@t276)) % 2.42/2.63 (step @p143 (= tptp.second @t277) :rule refl :args (@t277)) % 2.42/2.63 (step @p144 (= tptp.prop1 @t279) :rule refl :args (@t279)) % 2.42/2.63 (step @p145 (= tptp.ite @t280) :rule refl :args (@t280)) % 2.42/2.63 (step @p146 (= tptp.wissel_wa @t281) :rule refl :args (@t281)) % 2.42/2.63 (step @p147 (= tptp.wissel_wb @t282) :rule refl :args (@t282)) % 2.42/2.63 (step @p148 (= tptp.wissel @t283) :rule refl :args (@t283)) % 2.42/2.63 (step @p149 (= tptp.changef @t284) :rule refl :args (@t284)) % 2.42/2.63 (step @p150 (= tptp.r_ec @t285) :rule refl :args (@t285)) % 2.42/2.63 (step @p151 (= tptp.esti @t286) :rule refl :args (@t286)) % 2.42/2.63 (step @p152 (= tptp.empty @t288) :rule refl :args (@t288)) % 2.42/2.63 (step @p153 (= tptp.nonempty @t289) :rule refl :args (@t289)) % 2.42/2.63 (step @p154 (= tptp.incl @t293) :rule refl :args (@t293)) % 2.42/2.63 (step @p155 (= tptp.st_disj @t294) :rule refl :args (@t294)) % 2.42/2.63 (step @p156 (= tptp.nissetprop @t295) :rule refl :args (@t295)) % 2.42/2.63 (step @p157 (= tptp.unmore @t296) :rule refl :args (@t296)) % 2.42/2.63 (step @p158 (= tptp.ecelt @t299) :rule refl :args (@t299)) % 2.42/2.63 (step @p159 (= tptp.ecp @t302) :rule refl :args (@t302)) % 2.42/2.63 (step @p160 (= tptp.anec @t303) :rule refl :args (@t303)) % 2.42/2.63 (step @p161 (= tptp.ect @t305) :rule refl :args (@t305)) % 2.42/2.63 (step @p162 (= tptp.ectset @t307) :rule refl :args (@t307)) % 2.42/2.63 (step @p163 (= tptp.ectelt @t308) :rule refl :args (@t308)) % 2.42/2.63 (step @p164 (= tptp.ecect @t309) :rule refl :args (@t309)) % 2.42/2.63 (step @p165 (= tptp.fixfu @t313) :rule refl :args (@t313)) % 2.42/2.63 (step @p166 (= tptp.d_10_prop1 @t314) :rule refl :args (@t314)) % 2.42/2.63 (step @p167 (= tptp.prop2 @t315) :rule refl :args (@t315)) % 2.42/2.63 (step @p168 (= tptp.indeq @t316) :rule refl :args (@t316)) % 2.42/2.63 (step @p169 (= tptp.fixfu2 @t319) :rule refl :args (@t319)) % 2.42/2.63 (step @p170 (= tptp.d_11_i @t321) :rule refl :args (@t321)) % 2.42/2.63 (step @p171 (= tptp.indeq2 @t322) :rule refl :args (@t322)) % 2.42/2.63 (step @p172 (= tptp.nis @t323) :rule refl :args (@t323)) % 2.42/2.63 (step @p173 (= tptp.cond2 @t324) :rule refl :args (@t324)) % 2.42/2.63 (step @p174 :rule refl :args (@t326)) % 2.42/2.63 (step @p175 :rule refl :args (@t356)) % 2.42/2.63 (step @p176 :rule refl :args ((tptp.eps @t454))) % 2.42/2.63 (step @p177 :rule refl :args (@t357)) % 2.42/2.63 (step @p178 :rule refl :args (@t359)) % 2.42/2.63 (step @p179 :rule refl :args ((tptp.in @t358 @t408))) % 2.42/2.63 (step @p180 :rule refl :args ((tptp.eps @t407))) % 2.42/2.63 (step @p181 :rule refl :args (@t361)) % 2.42/2.63 (step @p182 :rule refl :args (@t455)) % 2.42/2.63 (step @p183 :rule refl :args ((_ @t40 @t380))) % 2.42/2.63 (step @p184 :rule refl :args ((tptp.union @t379))) % 2.42/2.63 (step @p185 :rule refl :args ((tptp.repl @t169 @t378))) % 2.42/2.63 (step @p186 :rule refl :args ((tptp.eps @t376))) % 2.42/2.63 (step @p187 :rule refl :args ((tptp.repl @t169 @t369))) % 2.42/2.63 (step @p188 :rule refl :args ((tptp.eps @t368))) % 2.42/2.63 (step @p189 :rule refl :args (@t365)) % 2.42/2.63 (step @p190 :rule refl :args (@t330)) % 2.42/2.63 (step @p191 :rule cong :premises (@p190) :args (@t331)) % 2.42/2.63 (step @p192 :rule nary_cong :premises (@p191 @p189) :args (@t456)) % 2.42/2.63 (step @p193 :rule nary_cong :premises (@p190 @p189) :args (@t457)) % 2.42/2.63 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t458)) % 2.42/2.63 (step @p195 :rule cong :premises (@p194) :args (@t459)) % 2.42/2.63 (step @p196 :rule cong :premises (@p195) :args (@t460)) % 2.42/2.63 (step @p197 :rule trans :premises (@p196 @p188)) % 2.42/2.63 (step @p198 :rule cong :premises (@p197) :args (@t461)) % 2.42/2.63 (step @p199 :rule refl :args ((tptp.power @t168))) % 2.42/2.63 (step @p200 :rule refl :args (@t334)) % 2.42/2.63 (step @p201 :rule cong :premises (@p200) :args (@t335)) % 2.42/2.63 (step @p202 :rule trans :premises (@p201 @p199)) % 2.42/2.63 (step @p203 :rule cong :premises (@p202 @p198) :args (@t462)) % 2.42/2.63 (step @p204 :rule trans :premises (@p203 @p187)) % 2.42/2.63 (step @p205 :rule refl :args (@t370)) % 2.42/2.63 (step @p206 :rule cong :premises (@p205 @p204) :args (@t463)) % 2.42/2.63 (step @p207 :rule refl :args (@t464)) % 2.42/2.63 (step @p208 :rule cong :premises (@p207) :args (@t465)) % 2.42/2.63 (step @p209 :rule nary_cong :premises (@p208 @p206) :args (@t466)) % 2.42/2.63 (step @p210 :rule refl :args (@t374)) % 2.42/2.63 (step @p211 :rule nary_cong :premises (@p207 @p210) :args (@t467)) % 2.42/2.63 (step @p212 :rule nary_cong :premises (@p211 @p209) :args (@t468)) % 2.42/2.63 (step @p213 :rule cong :premises (@p212) :args (@t469)) % 2.42/2.63 (step @p214 :rule cong :premises (@p213) :args (@t470)) % 2.42/2.63 (step @p215 :rule trans :premises (@p214 @p186)) % 2.42/2.63 (step @p216 :rule cong :premises (@p215) :args (@t471)) % 2.42/2.63 (step @p217 :rule cong :premises (@p202 @p216) :args (@t472)) % 2.42/2.63 (step @p218 :rule trans :premises (@p217 @p185)) % 2.42/2.63 (step @p219 :rule cong :premises (@p218) :args (@t473)) % 2.42/2.63 (step @p220 :rule trans :premises (@p219 @p184)) % 2.42/2.63 (step @p221 :rule cong :premises (@p220) :args (@t474)) % 2.42/2.63 (step @p222 :rule trans :premises (@p221 @p183)) % 2.42/2.63 (step @p223 :rule refl :args (@t475)) % 2.42/2.63 (step @p224 :rule cong :premises (@p223) :args (@t476)) % 2.42/2.63 (step @p225 :rule nary_cong :premises (@p224 @p222) :args (@t477)) % 2.42/2.63 (step @p226 :rule cong :premises (@p225) :args (@t478)) % 2.42/2.63 (step @p227 :rule cong :premises (@p226) :args (@t479)) % 2.42/2.63 (step @p228 :rule refl :args (@t480)) % 2.42/2.63 (step @p229 :rule cong :premises (@p228) :args (@t481)) % 2.42/2.63 (step @p230 :rule nary_cong :premises (@p229 @p227 @p182) :args (@t482)) % 2.42/2.63 (step @p231 :rule cong :premises (@p230) :args (@t483)) % 2.42/2.63 (step @p232 :rule cong :premises (@p231) :args (@t484)) % 2.42/2.63 (step @p233 :rule refl :args ((tptp.in @t362 @t53))) % 2.42/2.63 (step @p234 :rule refl :args (@t485)) % 2.42/2.63 (step @p235 :rule refl :args (@t362)) % 2.42/2.63 (step @p236 :rule cong :premises (@p235 @p234) :args (@t486)) % 2.42/2.63 (step @p237 :rule trans :premises (@p236 @p233)) % 2.42/2.63 (step @p238 :rule cong :premises (@p237) :args (@t487)) % 2.42/2.63 (step @p239 :rule nary_cong :premises (@p238 @p232) :args (@t488)) % 2.42/2.63 (step @p240 :rule cong :premises (@p239) :args (@t489)) % 2.42/2.63 (step @p241 :rule nary_cong :premises (@p240 @p181) :args (@t490)) % 2.42/2.63 (step @p242 :rule refl :args ((tptp.repl @t53 @t403))) % 2.42/2.63 (step @p243 :rule refl :args ((tptp.eps @t400))) % 2.42/2.63 (step @p244 :rule refl :args ((tptp.eps @t392))) % 2.42/2.63 (step @p245 :rule refl :args (@t491)) % 2.42/2.63 (step @p246 :rule nary_cong :premises (@p229 @p227 @p245) :args (@t492)) % 2.42/2.63 (step @p247 :rule cong :premises (@p246) :args (@t493)) % 2.42/2.63 (step @p248 :rule refl :args ((tptp.in @t387 @t53))) % 2.42/2.63 (step @p249 :rule refl :args (@t387)) % 2.42/2.63 (step @p250 :rule cong :premises (@p249 @p234) :args (@t494)) % 2.42/2.63 (step @p251 :rule trans :premises (@p250 @p248)) % 2.42/2.63 (step @p252 :rule nary_cong :premises (@p251 @p247) :args (@t495)) % 2.42/2.63 (step @p253 :rule cong :premises (@p252) :args (@t496)) % 2.42/2.63 (step @p254 :rule cong :premises (@p253) :args (@t497)) % 2.42/2.63 (step @p255 :rule trans :premises (@p254 @p244)) % 2.42/2.63 (step @p256 :rule refl :args (@t394)) % 2.42/2.63 (step @p257 :rule cong :premises (@p256 @p255) :args (@t498)) % 2.42/2.63 (step @p258 :rule refl :args (@t499)) % 2.42/2.63 (step @p259 :rule nary_cong :premises (@p229 @p227 @p258) :args (@t500)) % 2.42/2.63 (step @p260 :rule cong :premises (@p259) :args (@t501)) % 2.42/2.63 (step @p261 :rule cong :premises (@p260) :args (@t502)) % 2.42/2.63 (step @p262 :rule nary_cong :premises (@p261 @p257) :args (@t503)) % 2.42/2.63 (step @p263 :rule refl :args (@t398)) % 2.42/2.63 (step @p264 :rule nary_cong :premises (@p260 @p263) :args (@t504)) % 2.42/2.63 (step @p265 :rule nary_cong :premises (@p264 @p262) :args (@t505)) % 2.42/2.63 (step @p266 :rule cong :premises (@p265) :args (@t506)) % 2.42/2.63 (step @p267 :rule cong :premises (@p266) :args (@t507)) % 2.42/2.63 (step @p268 :rule trans :premises (@p267 @p243)) % 2.42/2.63 (step @p269 :rule cong :premises (@p268) :args (@t508)) % 2.42/2.63 (step @p270 :rule cong :premises (@p234 @p269) :args (@t509)) % 2.42/2.63 (step @p271 :rule trans :premises (@p270 @p242)) % 2.42/2.63 (step @p272 :rule refl :args (@t360)) % 2.42/2.63 (step @p273 :rule cong :premises (@p272 @p271) :args (@t510)) % 2.42/2.63 (step @p274 :rule cong :premises (@p240) :args (@t511)) % 2.42/2.63 (step @p275 :rule nary_cong :premises (@p274 @p273) :args (@t512)) % 2.42/2.63 (step @p276 :rule nary_cong :premises (@p275 @p241) :args (@t513)) % 2.42/2.63 (step @p277 :rule cong :premises (@p276) :args (@t514)) % 2.42/2.63 (step @p278 :rule cong :premises (@p277) :args (@t515)) % 2.42/2.63 (step @p279 :rule trans :premises (@p278 @p180)) % 2.42/2.63 (step @p280 :rule refl :args (@t358)) % 2.42/2.63 (step @p281 :rule cong :premises (@p280 @p279) :args (@t516)) % 2.42/2.63 (step @p282 :rule trans :premises (@p281 @p179)) % 2.42/2.63 (step @p283 :rule cong :premises (@p282) :args (@t517)) % 2.42/2.63 (step @p284 :rule nary_cong :premises (@p283 @p178) :args (@t518)) % 2.42/2.63 (step @p285 :rule cong :premises (@p284) :args (@t519)) % 2.42/2.63 (step @p286 :rule nary_cong :premises (@p285 @p177) :args (@t520)) % 2.42/2.63 (step @p287 :rule refl :args ((tptp.repl @t452 @t447))) % 2.42/2.63 (step @p288 :rule refl :args ((tptp.eps @t445))) % 2.42/2.63 (step @p289 :rule refl :args ((tptp.eps @t441))) % 2.42/2.63 (step @p290 :rule refl :args (@t412)) % 2.42/2.63 (step @p291 :rule refl :args ((tptp.in @t387 @t439))) % 2.42/2.63 (step @p292 :rule refl :args ((tptp.eps @t438))) % 2.42/2.63 (step @p293 :rule refl :args (@t414)) % 2.42/2.63 (step @p294 :rule refl 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(step @p987 :rule refl :args (@t872)) % 2.42/2.63 (step @p988 :rule ho_cong :premises (@p414 @p972)) % 2.42/2.63 (step @p989 :rule cong :premises (@p988 @p974) :args ((= (_ @t579 @t768) @t769))) % 2.42/2.63 (step @p990 :rule symm :premises (@p989)) % 2.42/2.63 (step @p991 :rule refl :args (@t906)) % 2.42/2.63 (step @p992 :rule eq_resolve :premises (@p991 @p990)) % 2.42/2.63 (step @p993 :rule ho_cong :premises (@p378 @p969)) % 2.42/2.63 (step @p994 :rule cong :premises (@p993 @p971) :args ((= (_ tptp.eps @t766) @t767))) % 2.42/2.63 (step @p995 :rule symm :premises (@p994)) % 2.42/2.63 (step @p996 :rule refl :args (@t904)) % 2.42/2.63 (step @p997 :rule eq_resolve :premises (@p996 @p995)) % 2.42/2.63 (step @p998 :rule ho_cong :premises (@p378 @p959)) % 2.42/2.63 (step @p999 :rule cong :premises (@p998 @p961) :args ((= (_ tptp.eps @t757) @t758))) % 2.42/2.63 (step @p1000 :rule symm :premises (@p999)) % 2.42/2.63 (step @p1001 :rule refl :args (@t901)) % 2.42/2.63 (step @p1002 :rule eq_resolve :premises (@p1001 @p1000)) % 2.42/2.63 (step @p1003 :rule refl :args (@t755)) % 2.42/2.63 (step @p1004 :rule nary_cong :premises (@p507 @p1003) :args (@t815)) % 2.42/2.63 (step @p1005 :rule cong :premises (@p1004) :args (@t816)) % 2.42/2.63 (step @p1006 :rule ho_cong :premises (@p378 @p1005)) % 2.42/2.63 (step @p1007 :rule trans :premises (@p1006 @p1002)) % 2.42/2.63 (step @p1008 :rule cong :premises (@p256 @p1007) :args (@t817)) % 2.42/2.63 (step @p1009 :rule refl :args (@t762)) % 2.42/2.63 (step @p1010 :rule nary_cong :premises (@p1009 @p1008) :args (@t818)) % 2.42/2.63 (step @p1011 :rule refl :args (@t764)) % 2.42/2.63 (step @p1012 :rule nary_cong :premises (@p1011 @p1010) :args (@t819)) % 2.42/2.63 (step @p1013 :rule cong :premises (@p1012) :args (@t820)) % 2.42/2.63 (step @p1014 :rule ho_cong :premises (@p378 @p1013)) % 2.42/2.63 (step @p1015 :rule trans :premises (@p1014 @p997)) % 2.42/2.63 (step @p1016 :rule cong :premises (@p1015) :args (@t821)) % 2.42/2.63 (step @p1017 :rule ho_cong :premises (@p456 @p1016)) % 2.42/2.63 (step @p1018 :rule trans :premises (@p1017 @p992)) % 2.42/2.63 (step @p1019 :rule cong :premises (@p370 @p1018) :args (@t880)) % 2.42/2.63 (step @p1020 :rule refl :args (@t771)) % 2.42/2.63 (step @p1021 :rule nary_cong :premises (@p1020 @p1019) :args (@t908)) % 2.42/2.63 (step @p1022 :rule nary_cong :premises (@p1021 @p987) :args (@t909)) % 2.42/2.63 (step @p1023 :rule cong :premises (@p1022) :args (@t910)) % 2.42/2.63 (step @p1024 :rule ho_cong :premises (@p378 @p1023)) % 2.42/2.63 (step @p1025 :rule trans :premises (@p1024 @p986)) % 2.42/2.63 (step @p1026 :rule cong :premises (@p280 @p1025) :args (@t911)) % 2.42/2.63 (step @p1027 :rule cong :premises (@p1026) :args (@t912)) % 2.42/2.63 (step @p1028 :rule nary_cong :premises (@p1027 @p178) :args (@t913)) % 2.42/2.63 (step @p1029 :rule cong :premises (@p1028) :args ((forall @t410 @t913))) % 2.42/2.63 (step @p1030 :rule alpha_equiv :args (@t785 (@list @t358) (@list @t362))) % 2.42/2.63 (step @p1031 :rule nary_cong :premises (@p1030 @p177) :args (@t879)) % 2.42/2.63 (step @p1032 :rule refl :args (@t880)) % 2.42/2.63 (step @p1033 :rule cong :premises (@p1030) :args (@t803)) % 2.42/2.63 (step @p1034 :rule nary_cong :premises (@p1033 @p1032) :args (@t881)) % 2.42/2.63 (step @p1035 :rule nary_cong :premises (@p1034 @p1031) :args (@t882)) % 2.42/2.63 (step @p1036 :rule cong :premises (@p1035) :args (@t883)) % 2.42/2.63 (step @p1037 :rule ho_cong :premises (@p378 @p1036)) % 2.42/2.63 (step @p1038 :rule cong :premises (@p280 @p1037) :args (@t914)) % 2.42/2.63 (step @p1039 :rule cong :premises (@p1038) :args (@t915)) % 2.42/2.63 (step @p1040 :rule nary_cong :premises (@p1039 @p178) :args (@t916)) % 2.42/2.63 (step @p1041 :rule cong :premises (@p1040) :args (@t917)) % 2.42/2.63 (step @p1042 :rule trans :premises (@p1041 @p1029)) % 2.42/2.63 (step @p1043 :rule nary_cong :premises (@p1042 @p549) :args (@t918)) % 2.42/2.63 (step @p1044 :rule refl :args (@t879)) % 2.42/2.63 (step @p1045 :rule refl :args (@t796)) % 2.42/2.63 (step @p1046 :rule eq-symm :args (@t426 @t425)) % 2.42/2.63 (step @p1047 :rule refl :args (@t794)) % 2.42/2.63 (step @p1048 :rule nary_cong :premises (@p1047 @p1046) :args (@t919)) % 2.42/2.63 (step @p1049 :rule nary_cong :premises (@p1048 @p1045) :args (@t920)) % 2.42/2.63 (step @p1050 :rule cong :premises (@p1049) :args (@t921)) % 2.42/2.63 (step @p1051 :rule ho_cong :premises (@p649 @p1050)) % 2.42/2.63 (step @p1052 :rule cong :premises (@p1051) :args (@t922)) % 2.42/2.63 (step @p1053 :rule ho_cong :premises (@p664 @p1052)) % 2.42/2.63 (step @p1054 :rule cong :premises (@p710 @p1053) :args (@t923)) % 2.42/2.63 (step @p1055 :rule nary_cong :premises (@p880 @p1054) :args (@t924)) % 2.42/2.63 (step @p1056 :rule nary_cong :premises (@p1055 @p1044) :args (@t925)) % 2.42/2.63 (step @p1057 :rule cong :premises (@p1056) :args (@t926)) % 2.42/2.63 (step @p1058 :rule ho_cong :premises (@p649 @p1057)) % 2.42/2.63 (step @p1059 :rule ho_cong :premises (@p673 @p1058)) % 2.42/2.63 (step @p1060 :rule nary_cong :premises (@p1059 @p629) :args (@t927)) % 2.42/2.63 (step @p1061 :rule cong :premises (@p1060) :args (@t928)) % 2.42/2.63 (step @p1062 :rule ho_cong :premises (@p649 @p1061)) % 2.42/2.63 (step @p1063 :rule cong :premises (@p601 @p1062) :args (@t929)) % 2.42/2.63 (step @p1064 :rule nary_cong :premises (@p679 @p1063) :args (@t930)) % 2.42/2.63 (step @p1065 :rule nary_cong :premises (@p681 @p1064) :args (@t931)) % 2.42/2.63 (step @p1066 :rule cong :premises (@p1065) :args (@t932)) % 2.42/2.63 (step @p1067 :rule ho_cong :premises (@p649 @p1066)) % 2.42/2.63 (step @p1068 :rule cong :premises (@p1067) :args (@t933)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1069 :rule trust :premises () :args ((= (lambda @t402 (_ tptp.eps (lambda @t399 (or @t444 (and @t443 (= @t394 (_ tptp.eps (lambda @t391 (and (_ @t389 (_ tptp.eps (lambda @t27 (or (and @t803 (= @t22 (_ @t404 (lambda @t402 (_ tptp.eps (lambda @t430 (or (and @t761 (= @t395 @t425)) (and @t762 @t792)))))))) @t879)))) @t412))))))))) @t933))) % 2.42/2.63 (step @p1070 :rule trans :premises (@p1069 @p1068)) % 2.42/2.63 (step @p1071 :rule eq-symm :args (@t425 @t791)) % 2.42/2.63 (step @p1072 :rule refl :args (@t762)) % 2.42/2.63 (step @p1073 :rule nary_cong :premises (@p1072 @p1071) :args (@t934)) % 2.42/2.63 (step @p1074 :rule eq-symm :args (@t425 @t395)) % 2.42/2.63 (step @p1075 :rule refl :args (@t761)) % 2.42/2.63 (step @p1076 :rule nary_cong :premises (@p1075 @p1074) :args (@t935)) % 2.42/2.63 (step @p1077 :rule nary_cong :premises (@p1076 @p1073) :args (@t936)) % 2.42/2.63 (step @p1078 :rule cong :premises (@p1077) :args (@t937)) % 2.42/2.63 (step @p1079 :rule ho_cong :premises (@p649 @p1078)) % 2.42/2.63 (step @p1080 :rule cong :premises (@p1079) :args (@t938)) % 2.42/2.63 (step @p1081 :rule ho_cong :premises (@p664 @p1080)) % 2.42/2.63 (step @p1082 :rule cong :premises (@p710 @p1081) :args (@t939)) % 2.42/2.63 (step @p1083 :rule nary_cong :premises (@p880 @p1082) :args (@t940)) % 2.42/2.63 (step @p1084 :rule nary_cong :premises (@p1083 @p1044) :args (@t941)) % 2.42/2.63 (step @p1085 :rule cong :premises (@p1084) :args (@t942)) % 2.42/2.63 (step @p1086 :rule ho_cong :premises (@p649 @p1085)) % 2.42/2.63 (step @p1087 :rule ho_cong :premises (@p673 @p1086)) % 2.42/2.63 (step @p1088 :rule nary_cong :premises (@p1087 @p629) :args (@t943)) % 2.42/2.63 (step @p1089 :rule cong :premises (@p1088) :args (@t944)) % 2.42/2.63 (step @p1090 :rule ho_cong :premises (@p649 @p1089)) % 2.42/2.63 (step @p1091 :rule cong :premises (@p601 @p1090) :args (@t945)) % 2.42/2.63 (step @p1092 :rule nary_cong :premises (@p679 @p1091) :args (@t946)) % 2.42/2.63 (step @p1093 :rule nary_cong :premises (@p681 @p1092) :args (@t947)) % 2.42/2.63 (step @p1094 :rule cong :premises (@p1093) :args (@t948)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1095 :rule trust :premises () :args ((= (lambda @t399 (or @t444 (and @t443 (= @t394 (_ tptp.eps @t949))))) @t948))) % 2.42/2.63 (step @p1096 :rule trans :premises (@p1095 @p1094)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1097 :rule trust :premises () :args ((= @t950 @t949))) % 2.42/2.63 (step @p1098 :rule ho_cong :premises (@p649 @p1097)) % 2.42/2.63 (step @p1099 :rule cong :premises (@p601 @p1098) :args (@t951)) % 2.42/2.63 (step @p1100 :rule nary_cong :premises (@p679 @p1099) :args (@t952)) % 2.42/2.63 (step @p1101 :rule nary_cong :premises (@p681 @p1100) :args (@t953)) % 2.42/2.63 (step @p1102 :rule cong :premises (@p1101) :args (@t954)) % 2.42/2.63 (step @p1103 :rule trans :premises (@p1102 @p1096)) % 2.42/2.63 (step @p1104 :rule ho_cong :premises (@p649 @p1103)) % 2.42/2.63 (step @p1105 :rule cong :premises (@p1104) :args (@t955)) % 2.42/2.63 (step @p1106 :rule trans :premises (@p1105 @p1070)) % 2.42/2.63 (step @p1107 :rule refl :args (@t885)) % 2.42/2.63 (step @p1108 :rule ho_cong :premises (@p1107 @p1106)) % 2.42/2.63 (step @p1109 :rule cong :premises (@p710 @p1108) :args (@t956)) % 2.42/2.63 (step @p1110 :rule cong :premises (@p1042) :args (@t957)) % 2.42/2.63 (step @p1111 :rule nary_cong :premises (@p1110 @p1109) :args (@t958)) % 2.42/2.63 (step @p1112 :rule nary_cong :premises (@p1111 @p1043) :args (@t959)) % 2.42/2.63 (step @p1113 :rule cong :premises (@p1112) :args (@t960)) % 2.42/2.63 (step @p1114 :rule trans :premises (@p1113 @p909)) % 2.42/2.63 (step @p1115 :rule ho_cong :premises (@p649 @p1114)) % 2.42/2.63 (step @p1116 :rule cong :premises (@p855 @p1115) :args ((= tptp.nat (_ tptp.eps @t960)))) % 2.42/2.63 (step @p1117 :rule eq-symm :args (@t370 @t348)) % 2.42/2.63 (step @p1118 :rule nary_cong :premises (@p568 @p1117) :args (@t961)) % 2.42/2.63 (step @p1119 :rule refl :args (@t734)) % 2.42/2.63 (step @p1120 :rule nary_cong :premises (@p1119 @p1118) :args (@t962)) % 2.42/2.63 (step @p1121 :rule cong :premises (@p1120) :args (@t963)) % 2.42/2.63 (step @p1122 :rule cong :premises (@p1121) :args (@t964)) % 2.42/2.63 (step @p1123 :rule cong :premises (@p1122) :args (@t965)) % 2.42/2.63 (step @p1124 :rule cong :premises (@p564 @p1123) :args (@t966)) % 2.42/2.63 (step @p1125 :rule cong :premises (@p1124) :args (@t967)) % 2.42/2.63 (step @p1126 :rule cong :premises (@p1125) :args (@t968)) % 2.42/2.63 (step @p1127 :rule refl :args (@t743)) % 2.42/2.63 (step @p1128 :rule nary_cong :premises (@p1127 @p1126) :args (@t969)) % 2.42/2.63 (step @p1129 :rule cong :premises (@p1128) :args (@t970)) % 2.42/2.63 (step @p1130 :rule cong :premises (@p1129) :args (@t971)) % 2.42/2.63 (step @p1131 :rule nary_cong :premises (@p584 @p1130 @p631) :args (@t972)) % 2.42/2.63 (step @p1132 :rule cong :premises (@p1131) :args (@t973)) % 2.42/2.63 (step @p1133 :rule cong :premises (@p1132) :args (@t974)) % 2.42/2.63 (step @p1134 :rule nary_cong :premises (@p635 @p1133) :args (@t975)) % 2.42/2.63 (step @p1135 :rule cong :premises (@p1134) :args (@t976)) % 2.42/2.63 (step @p1136 :rule nary_cong :premises (@p1135 @p549) :args (@t977)) % 2.42/2.63 (step @p1137 :rule nary_cong :premises (@p584 @p1130 @p594) :args (@t978)) % 2.42/2.63 (step @p1138 :rule cong :premises (@p1137) :args (@t979)) % 2.42/2.63 (step @p1139 :rule nary_cong :premises (@p690 @p1138) :args (@t980)) % 2.42/2.63 (step @p1140 :rule cong :premises (@p1139) :args (@t981)) % 2.42/2.63 (step @p1141 :rule ho_cong :premises (@p649 @p1140)) % 2.42/2.63 (step @p1142 :rule cong :premises (@p601 @p1141) :args (@t982)) % 2.42/2.63 (step @p1143 :rule nary_cong :premises (@p584 @p1130 @p603) :args (@t983)) % 2.42/2.63 (step @p1144 :rule cong :premises (@p1143) :args (@t984)) % 2.42/2.63 (step @p1145 :rule cong :premises (@p1144) :args (@t985)) % 2.42/2.63 (step @p1146 :rule nary_cong :premises (@p1145 @p1142) :args (@t986)) % 2.42/2.63 (step @p1147 :rule nary_cong :premises (@p1144 @p608) :args (@t987)) % 2.42/2.63 (step @p1148 :rule nary_cong :premises (@p1147 @p1146) :args (@t988)) % 2.42/2.63 (step @p1149 :rule cong :premises (@p1148) :args (@t989)) % 2.42/2.63 (step @p1150 :rule ho_cong :premises (@p649 @p1149)) % 2.42/2.63 (step @p1151 :rule cong :premises (@p1150) :args (@t990)) % 2.42/2.63 (step @p1152 :rule ho_cong :premises (@p664 @p1151)) % 2.42/2.63 (step @p1153 :rule cong :premises (@p710 @p1152) :args (@t991)) % 2.42/2.63 (step @p1154 :rule cong :premises (@p1135) :args (@t992)) % 2.42/2.63 (step @p1155 :rule nary_cong :premises (@p1154 @p1153) :args (@t993)) % 2.42/2.63 (step @p1156 :rule nary_cong :premises (@p1155 @p1136) :args (@t994)) % 2.42/2.63 (step @p1157 :rule cong :premises (@p1156) :args (@t995)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1158 :rule trust :premises () :args ((= (lambda @t27 (or (and (not @t1008) (= @t22 (_ @t404 (lambda @t402 (_ tptp.eps (lambda @t399 (or (and @t1010 @t398) (and (not @t1010) (= @t394 (_ tptp.eps (lambda @t391 (and @t390 @t1009)))))))))))) (and @t1008 @t357))) @t995))) % 2.42/2.63 (step @p1159 :rule trans :premises (@p1158 @p1157)) % 2.42/2.63 (step @p1160 :rule beta-reduce :args ((= @t1013 @t1007))) % 2.42/2.63 (step @p1161 :rule cong :premises (@p1160) :args (@t1014)) % 2.42/2.63 (step @p1162 :rule nary_cong :premises (@p635 @p1161) :args (@t1015)) % 2.42/2.63 (step @p1163 :rule cong :premises (@p1162) :args (@t1016)) % 2.42/2.63 (step @p1164 :rule nary_cong :premises (@p1163 @p549) :args (@t1017)) % 2.42/2.63 (step @p1165 :rule beta-reduce :args ((= @t1018 @t1009))) % 2.42/2.63 (step @p1166 :rule nary_cong :premises (@p690 @p1165) :args (@t1019)) % 2.42/2.63 (step @p1167 :rule cong :premises (@p1166) :args (@t1020)) % 2.42/2.63 (step @p1168 :rule ho_cong :premises (@p649 @p1167)) % 2.42/2.63 (step @p1169 :rule cong :premises (@p601 @p1168) :args (@t1021)) % 2.42/2.63 (step @p1170 :rule beta-reduce :args ((= @t1022 @t1010))) % 2.42/2.63 (step @p1171 :rule cong :premises (@p1170) :args (@t1023)) % 2.42/2.63 (step @p1172 :rule nary_cong :premises (@p1171 @p1169) :args (@t1024)) % 2.42/2.63 (step @p1173 :rule nary_cong :premises (@p1170 @p608) :args (@t1025)) % 2.42/2.63 (step @p1174 :rule nary_cong :premises (@p1173 @p1172) :args (@t1026)) % 2.42/2.63 (step @p1175 :rule cong :premises (@p1174) :args (@t1027)) % 2.42/2.63 (step @p1176 :rule ho_cong :premises (@p649 @p1175)) % 2.42/2.63 (step @p1177 :rule cong :premises (@p1176) :args (@t1028)) % 2.42/2.63 (step @p1178 :rule ho_cong :premises (@p664 @p1177)) % 2.42/2.63 (step @p1179 :rule cong :premises (@p710 @p1178) :args (@t1029)) % 2.42/2.63 (step @p1180 :rule cong :premises (@p1163) :args (@t1030)) % 2.42/2.63 (step @p1181 :rule nary_cong :premises (@p1180 @p1179) :args (@t1031)) % 2.42/2.63 (step @p1182 :rule nary_cong :premises (@p1181 @p1164) :args (@t1032)) % 2.42/2.63 (step @p1183 :rule cong :premises (@p1182) :args (@t1033)) % 2.42/2.63 (step @p1184 :rule trans :premises (@p1183 @p1159)) % 2.42/2.63 (step @p1185 :rule ho_cong :premises (@p649 @p1184)) % 2.42/2.63 (step @p1186 :rule beta-reduce :args ((= (_ (lambda @t197 (_ tptp.eps (lambda @t27 (or (and (not @t1035) (= @t22 (_ @t404 (lambda @t402 (_ tptp.eps (lambda @t399 (or @t1038 (and @t1037 (= @t394 @t1036))))))))) (and @t1035 @t357))))) @t1012) (_ tptp.eps @t1033)))) % 2.42/2.63 (step @p1187 :rule trans :premises (@p1186 @p1185)) % 2.42/2.63 (step @p1188 :rule refl :args (@t1012)) % 2.42/2.63 (step @p1189 :rule refl :args (@t1034)) % 2.42/2.63 (step @p1190 :rule cong :premises (@p280 @p440) :args (@t525)) % 2.42/2.63 (step @p1191 :rule cong :premises (@p1190) :args (@t1039)) % 2.42/2.63 (step @p1192 :rule nary_cong :premises (@p1191 @p1189) :args (@t1040)) % 2.42/2.63 (step @p1193 :rule cong :premises (@p1192) :args (@t1041)) % 2.42/2.63 (step @p1194 :rule nary_cong :premises (@p1193 @p549) :args (@t1042)) % 2.42/2.63 (step @p1195 :rule eq-symm :args (@t1036 @t394)) % 2.42/2.63 (step @p1196 :rule refl :args (@t1037)) % 2.42/2.63 (step @p1197 :rule nary_cong :premises (@p1196 @p1195) :args (@t1043)) % 2.42/2.63 (step @p1198 :rule refl :args (@t1038)) % 2.42/2.63 (step @p1199 :rule nary_cong :premises (@p1198 @p1197) :args (@t1044)) % 2.42/2.63 (step @p1200 :rule cong :premises (@p1199) :args (@t1045)) % 2.42/2.63 (step @p1201 :rule ho_cong :premises (@p649 @p1200)) % 2.42/2.63 (step @p1202 :rule cong :premises (@p1201) :args (@t1046)) % 2.42/2.63 (step @p1203 :rule ho_cong :premises (@p664 @p1202)) % 2.42/2.63 (step @p1204 :rule cong :premises (@p710 @p1203) :args (@t1047)) % 2.42/2.63 (step @p1205 :rule cong :premises (@p1193) :args (@t1048)) % 2.42/2.63 (step @p1206 :rule nary_cong :premises (@p1205 @p1204) :args (@t1049)) % 2.42/2.63 (step @p1207 :rule nary_cong :premises (@p1206 @p1194) :args (@t1050)) % 2.42/2.63 (step @p1208 :rule cong :premises (@p1207) :args (@t1051)) % 2.42/2.63 (step @p1209 :rule ho_cong :premises (@p649 @p1208)) % 2.42/2.63 (step @p1210 :rule cong :premises (@p1209) :args (@t1052)) % 2.42/2.63 (step @p1211 :rule beta-reduce :args ((= @t1061 @t1052))) % 2.42/2.63 (step @p1212 :rule trans :premises (@p1211 @p1210)) % 2.42/2.63 (step @p1213 :rule ho_cong :premises (@p1212 @p1188)) % 2.42/2.63 (step @p1214 :rule trans :premises (@p1213 @p1187)) % 2.42/2.63 (step @p1215 :rule refl :args (tptp.omega)) % 2.42/2.63 (step @p1216 :rule cong :premises (@p1215 @p1214) :args ((= tptp.omega (_ @t1061 @t1012)))) % 2.42/2.63 (step @p1217 :rule refl :args (@t1011)) % 2.42/2.63 (step @p1218 :rule refl :args (@t147)) % 2.42/2.63 (step @p1219 :rule cong :premises (@p1218 @p1217) :args ((= @t147 @t1011))) % 2.42/2.63 (step @p1220 :rule symm :premises (@p1219)) % 2.42/2.63 (step @p1221 :rule eq_resolve :premises (@p1218 @p1220)) % 2.42/2.63 (step @p1222 :rule refl :args (@t1006)) % 2.42/2.63 (step @p1223 :rule refl :args (@t195)) % 2.42/2.63 (step @p1224 :rule cong :premises (@p1223 @p228) :args ((= @t195 @t480))) % 2.42/2.63 (step @p1225 :rule symm :premises (@p1224)) % 2.42/2.63 (step @p1226 :rule eq_resolve :premises (@p1223 @p1225)) % 2.42/2.63 (step @p1227 :rule cong :premises (@p1226) :args (@t383)) % 2.42/2.63 (step @p1228 :rule nary_cong :premises (@p1227 @p1222 @p1221) :args (@t1062)) % 2.42/2.63 (step @p1229 :rule cong :premises (@p1228) :args ((forall @t197 @t1062))) % 2.42/2.63 (step @p1230 :rule aci_norm :args ((= (or @t383 (or @t1006 @t147)) @t1062))) % 2.42/2.63 (step @p1231 :rule bool-impl-elim :args (@t1005 @t147)) % 2.42/2.63 (step @p1232 :rule refl :args (@t383)) % 2.42/2.63 (step @p1233 :rule nary_cong :premises (@p1232 @p1231) :args ((or @t383 @t1063))) % 2.42/2.63 (step @p1234 :rule trans :premises (@p1233 @p1230)) % 2.42/2.63 (step @p1235 :rule bool-impl-elim :args (@t195 @t1063)) % 2.42/2.63 (step @p1236 :rule trans :premises (@p1235 @p1234)) % 2.42/2.63 (step @p1237 :rule cong :premises (@p1236) :args ((forall @t197 (=> @t195 @t1063)))) % 2.42/2.63 (step @p1238 :rule trans :premises (@p1237 @p1229)) % 2.42/2.63 (step @p1239 :rule refl :args (@t147)) % 2.42/2.63 (step @p1240 :rule refl :args ((_ @t40 @t1072))) % 2.42/2.63 (step @p1241 :rule refl :args ((tptp.union @t1071))) % 2.42/2.63 (step @p1242 :rule refl :args ((tptp.repl @t169 @t1070))) % 2.42/2.63 (step @p1243 :rule refl :args ((tptp.eps @t1068))) % 2.42/2.63 (step @p1244 :rule cong :premises (@p370 @p926) :args (@t349)) % 2.42/2.63 (step @p1245 :rule nary_cong :premises (@p208 @p1244) :args (@t996)) % 2.42/2.63 (step @p1246 :rule refl :args (@t81)) % 2.42/2.63 (step @p1247 :rule nary_cong :premises (@p207 @p1246) :args (@t997)) % 2.42/2.63 (step @p1248 :rule nary_cong :premises (@p1247 @p1245) :args (@t998)) % 2.42/2.63 (step @p1249 :rule cong :premises (@p1248) :args (@t999)) % 2.42/2.63 (step @p1250 :rule cong :premises (@p1249) :args (@t1000)) % 2.42/2.63 (step @p1251 :rule trans :premises (@p1250 @p1243)) % 2.42/2.63 (step @p1252 :rule cong :premises (@p1251) :args (@t1001)) % 2.42/2.63 (step @p1253 :rule cong :premises (@p202 @p1252) :args (@t1002)) % 2.42/2.63 (step @p1254 :rule trans :premises (@p1253 @p1242)) % 2.42/2.63 (step @p1255 :rule cong :premises (@p1254) :args (@t1003)) % 2.42/2.63 (step @p1256 :rule trans :premises (@p1255 @p1241)) % 2.42/2.63 (step @p1257 :rule cong :premises (@p1256) :args (@t1004)) % 2.42/2.63 (step @p1258 :rule trans :premises (@p1257 @p1240)) % 2.42/2.63 (step @p1259 :rule refl :args (@t40)) % 2.42/2.63 (step @p1260 :rule ho_cong :premises (@p1259 @p1256)) % 2.42/2.63 (step @p1261 :rule cong :premises (@p1260 @p1258) :args ((= (_ @t40 @t1003) @t1004))) % 2.42/2.63 (step @p1262 :rule symm :premises (@p1261)) % 2.42/2.63 (step @p1263 :rule refl :args (@t1073)) % 2.42/2.63 (step @p1264 :rule eq_resolve :premises (@p1263 @p1262)) % 2.42/2.63 (step @p1265 :rule refl :args (tptp.union)) % 2.42/2.63 (step @p1266 :rule ho_cong :premises (@p1265 @p1254)) % 2.42/2.63 (step @p1267 :rule cong :premises (@p1266 @p1256) :args ((= (_ tptp.union @t1002) @t1003))) % 2.42/2.63 (step @p1268 :rule symm :premises (@p1267)) % 2.42/2.63 (step @p1269 :rule refl :args (@t1072)) % 2.42/2.63 (step @p1270 :rule eq_resolve :premises (@p1269 @p1268)) % 2.42/2.63 (step @p1271 :rule ho_cong :premises (@p385 @p202)) % 2.42/2.63 (step @p1272 :rule ho_cong :premises (@p1271 @p1252)) % 2.42/2.63 (step @p1273 :rule cong :premises (@p1272 @p1254) :args ((= (_ @t1074 @t1001) @t1002))) % 2.42/2.63 (step @p1274 :rule symm :premises (@p1273)) % 2.42/2.63 (step @p1275 :rule refl :args (@t1071)) % 2.42/2.63 (step @p1276 :rule eq_resolve :premises (@p1275 @p1274)) % 2.42/2.63 (step @p1277 :rule ho_cong :premises (@p378 @p1249)) % 2.42/2.63 (step @p1278 :rule cong :premises (@p1277 @p1251) :args ((= (_ tptp.eps @t999) @t1000))) % 2.42/2.63 (step @p1279 :rule symm :premises (@p1278)) % 2.42/2.63 (step @p1280 :rule refl :args (@t1069)) % 2.42/2.63 (step @p1281 :rule eq_resolve :premises (@p1280 @p1279)) % 2.42/2.63 (step @p1282 :rule ho_cong :premises (@p1271 @p924)) % 2.42/2.63 (step @p1283 :rule cong :premises (@p1282 @p926) :args ((= (_ @t1074 @t347) @t348))) % 2.42/2.63 (step @p1284 :rule symm :premises (@p1283)) % 2.42/2.63 (step @p1285 :rule refl :args (@t892)) % 2.42/2.63 (step @p1286 :rule eq_resolve :premises (@p1285 @p1284)) % 2.42/2.63 (step @p1287 :rule ho_cong :premises (@p378 @p921)) % 2.42/2.63 (step @p1288 :rule cong :premises (@p1287 @p923) :args ((= (_ tptp.eps @t345) @t346))) % 2.42/2.63 (step @p1289 :rule symm :premises (@p1288)) % 2.42/2.63 (step @p1290 :rule refl :args (@t890)) % 2.42/2.63 (step @p1291 :rule eq_resolve :premises (@p1290 @p1289)) % 2.42/2.63 (step @p1292 :rule refl :args (@t366)) % 2.42/2.63 (step @p1293 :rule cong :premises (@p1292 @p190) :args ((= @t366 @t330))) % 2.42/2.63 (step @p1294 :rule symm :premises (@p1293)) % 2.42/2.63 (step @p1295 :rule eq_resolve :premises (@p1292 @p1294)) % 2.42/2.63 (step @p1296 :rule cong :premises (@p1295) :args (@t367)) % 2.42/2.63 (step @p1297 :rule nary_cong :premises (@p1296 @p917) :args (@t886)) % 2.42/2.63 (step @p1298 :rule nary_cong :premises (@p1295 @p917) :args (@t887)) % 2.42/2.63 (step @p1299 :rule nary_cong :premises (@p1298 @p1297) :args (@t888)) % 2.42/2.63 (step @p1300 :rule cong :premises (@p1299) :args (@t889)) % 2.42/2.63 (step @p1301 :rule ho_cong :premises (@p378 @p1300)) % 2.42/2.63 (step @p1302 :rule trans :premises (@p1301 @p1291)) % 2.42/2.63 (step @p1303 :rule cong :premises (@p1302) :args (@t891)) % 2.42/2.63 (step @p1304 :rule refl :args (tptp.power)) % 2.42/2.63 (step @p1305 :rule ho_cong :premises (@p1304 @p200)) % 2.42/2.63 (step @p1306 :rule cong :premises (@p1305 @p202) :args ((= (_ tptp.power @t334) @t335))) % 2.42/2.63 (step @p1307 :rule symm :premises (@p1306)) % 2.42/2.63 (step @p1308 :rule refl :args (@t169)) % 2.42/2.63 (step @p1309 :rule eq_resolve :premises (@p1308 @p1307)) % 2.42/2.63 (step @p1310 :rule refl :args (@t168)) % 2.42/2.63 (step @p1311 :rule cong :premises (@p1310 @p200) :args ((= @t168 @t334))) % 2.42/2.63 (step @p1312 :rule symm :premises (@p1311)) % 2.42/2.63 (step @p1313 :rule eq_resolve :premises (@p1310 @p1312)) % 2.42/2.63 (step @p1314 :rule ho_cong :premises (@p1304 @p1313)) % 2.42/2.63 (step @p1315 :rule trans :premises (@p1314 @p1309)) % 2.42/2.63 (step @p1316 :rule ho_cong :premises (@p385 @p1315)) % 2.42/2.63 (step @p1317 :rule ho_cong :premises (@p1316 @p1303)) % 2.42/2.63 (step @p1318 :rule trans :premises (@p1317 @p1286)) % 2.42/2.63 (step @p1319 :rule cong :premises (@p370 @p1318) :args (@t1064)) % 2.42/2.63 (step @p1320 :rule refl :args (@t372)) % 2.42/2.63 (step @p1321 :rule cong :premises (@p1320 @p207) :args ((= @t372 @t464))) % 2.42/2.63 (step @p1322 :rule symm :premises (@p1321)) % 2.42/2.63 (step @p1323 :rule eq_resolve :premises (@p1320 @p1322)) % 2.42/2.63 (step @p1324 :rule cong :premises (@p1323) :args (@t373)) % 2.42/2.63 (step @p1325 :rule nary_cong :premises (@p1324 @p1319) :args (@t1065)) % 2.42/2.63 (step @p1326 :rule nary_cong :premises (@p1323 @p1246) :args (@t1066)) % 2.42/2.63 (step @p1327 :rule nary_cong :premises (@p1326 @p1325) :args (@t1067)) % 2.42/2.63 (step @p1328 :rule cong :premises (@p1327) :args (@t1068)) % 2.42/2.63 (step @p1329 :rule ho_cong :premises (@p378 @p1328)) % 2.42/2.63 (step @p1330 :rule trans :premises (@p1329 @p1281)) % 2.42/2.63 (step @p1331 :rule cong :premises (@p1330) :args (@t1070)) % 2.42/2.63 (step @p1332 :rule ho_cong :premises (@p1316 @p1331)) % 2.42/2.63 (step @p1333 :rule trans :premises (@p1332 @p1276)) % 2.42/2.63 (step @p1334 :rule ho_cong :premises (@p1265 @p1333)) % 2.42/2.63 (step @p1335 :rule trans :premises (@p1334 @p1270)) % 2.42/2.63 (step @p1336 :rule ho_cong :premises (@p1259 @p1335)) % 2.42/2.63 (step @p1337 :rule trans :premises (@p1336 @p1264)) % 2.42/2.63 (step @p1338 :rule refl :args (@t44)) % 2.42/2.63 (step @p1339 :rule cong :premises (@p1338 @p942) :args ((= @t44 @t742))) % 2.42/2.63 (step @p1340 :rule symm :premises (@p1339)) % 2.42/2.63 (step @p1341 :rule eq_resolve :premises (@p1338 @p1340)) % 2.42/2.63 (step @p1342 :rule cong :premises (@p1341) :args (@t897)) % 2.42/2.63 (step @p1343 :rule nary_cong :premises (@p1342 @p1337) :args (@t1075)) % 2.42/2.63 (step @p1344 :rule cong :premises (@p1343) :args ((forall @t13 @t1075))) % 2.42/2.63 (step @p1345 :rule bool-impl-elim :args (@t44 @t1073)) % 2.42/2.63 (step @p1346 :rule cong :premises (@p1345) :args ((forall @t13 (=> @t44 @t1073)))) % 2.42/2.63 (step @p1347 :rule trans :premises (@p1346 @p1344)) % 2.42/2.63 (step @p1348 :rule beta-reduce :args ((= (_ (lambda @t16 (_ tptp.union (_ @t170 (lambda @t377 (_ tptp.eps (lambda @t27 (or (and @t372 @t1085) (and @t373 @t1084)))))))) @t9) @t1072))) % 2.42/2.63 (step @p1349 :rule alpha_equiv :args (@t1088 @t746 (@list @t371))) % 2.42/2.63 (step @p1350 :rule refl :args (@t170)) % 2.42/2.63 (step @p1351 :rule ho_cong :premises (@p1350 @p1349)) % 2.42/2.63 (step @p1352 :rule ho_cong :premises (@p1265 @p1351)) % 2.42/2.63 (step @p1353 :rule cong :premises (@p1352) :args (@t1090)) % 2.42/2.63 (step @p1354 :rule ho_cong :premises (@p1353 @p542)) % 2.42/2.63 (step @p1355 :rule trans :premises (@p1354 @p1348)) % 2.42/2.63 (step @p1356 :rule refl :args (@t40)) % 2.42/2.63 (step @p1357 :rule ho_cong :premises (@p1356 @p1355)) % 2.42/2.63 (step @p1358 :rule refl :args (@t44)) % 2.42/2.63 (step @p1359 :rule cong :premises (@p1358 @p1357) :args (@t1091)) % 2.42/2.63 (step @p1360 :rule cong :premises (@p1359) :args (@t1092)) % 2.42/2.63 (step @p1361 :rule trans :premises (@p1360 @p1347)) % 2.42/2.63 (step @p1362 :rule cong :premises (@p1361 @p1239) :args (@t1093)) % 2.42/2.63 (step @p1363 :rule refl :args (@t195)) % 2.42/2.63 (step @p1364 :rule cong :premises (@p1363 @p1362) :args (@t1094)) % 2.42/2.63 (step @p1365 :rule cong :premises (@p1364) :args ((forall @t197 @t1094))) % 2.42/2.63 (step @p1366 :rule trans :premises (@p1365 @p1238)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1367 :rule trust :premises () :args ((= (lambda @t13 (_ tptp.eps @t1095)) @t1088))) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1368 :rule trust :premises () :args ((= (lambda @t27 (or @t1087 (and @t1086 (= @t22 @t1096)))) @t1095))) % 2.42/2.63 (step @p1369 :rule eq-symm :args (@t1096 @t22)) % 2.42/2.63 (step @p1370 :rule refl :args (@t1086)) % 2.42/2.63 (step @p1371 :rule nary_cong :premises (@p1370 @p1369) :args (@t1097)) % 2.42/2.63 (step @p1372 :rule refl :args (@t1087)) % 2.42/2.63 (step @p1373 :rule nary_cong :premises (@p1372 @p1371) :args (@t1098)) % 2.42/2.63 (step @p1374 :rule cong :premises (@p1373) :args (@t1099)) % 2.42/2.63 (step @p1375 :rule trans :premises (@p1374 @p1368)) % 2.42/2.63 (step @p1376 :rule ho_cong :premises (@p649 @p1375)) % 2.42/2.63 (step @p1377 :rule cong :premises (@p1376) :args (@t1100)) % 2.42/2.63 (step @p1378 :rule trans :premises (@p1377 @p1367)) % 2.42/2.63 (step @p1379 :rule refl :args (@t170)) % 2.42/2.63 (step @p1380 :rule ho_cong :premises (@p1379 @p1378)) % 2.42/2.63 (step @p1381 :rule refl :args (tptp.union)) % 2.42/2.63 (step @p1382 :rule ho_cong :premises (@p1381 @p1380)) % 2.42/2.63 (step @p1383 :rule beta-reduce :args ((= (_ @t1104 @t1096) (_ tptp.union (_ @t170 @t1100))))) % 2.42/2.63 (step @p1384 :rule trans :premises (@p1383 @p1382)) % 2.42/2.63 (step @p1385 :rule beta-reduce :args ((= (_ (lambda @t16 @t1096) @t2) @t1096))) % 2.42/2.63 (step @p1386 :rule beta-reduce :args ((= (_ (lambda @t5 @t1103) @t2) @t1104))) % 2.42/2.63 (step @p1387 :rule ho_cong :premises (@p1386 @p1385)) % 2.42/2.63 (step @p1388 :rule trans :premises (@p1387 @p1384)) % 2.42/2.63 (step @p1389 :rule refl :args (@t2)) % 2.42/2.63 (step @p1390 :rule beta-reduce :args ((= (_ @t1105 @t2) @t1096))) % 2.42/2.63 (step @p1391 :rule beta-reduce :args ((= (_ (lambda @t5 @t1102) @t2) @t1105))) % 2.42/2.63 (step @p1392 :rule ho_cong :premises (@p1391 @p1389)) % 2.42/2.63 (step @p1393 :rule trans :premises (@p1392 @p1390)) % 2.42/2.63 (step @p1394 :rule eq-symm :args (@t22 @t1)) % 2.42/2.63 (step @p1395 :rule nary_cong :premises (@p1370 @p1394) :args (@t1106)) % 2.42/2.63 (step @p1396 :rule nary_cong :premises (@p1372 @p1395) :args (@t1107)) % 2.42/2.63 (step @p1397 :rule cong :premises (@p1396) :args (@t1108)) % 2.42/2.63 (step @p1398 :rule ho_cong :premises (@p649 @p1397)) % 2.42/2.63 (step @p1399 :rule beta-reduce :args ((= (_ @t1112 @t1) (_ tptp.eps @t1108)))) % 2.42/2.63 (step @p1400 :rule trans :premises (@p1399 @p1398)) % 2.42/2.63 (step @p1401 :rule refl :args (@t1)) % 2.42/2.63 (step @p1402 :rule beta-reduce :args ((= (_ @t1114 @t2) @t1112))) % 2.42/2.63 (step @p1403 :rule beta-reduce :args ((= (_ (lambda @t1116 (_ tptp.eps (lambda @t27 (or @t1115 (and @t37 @t1110))))) @t166) @t1114))) % 2.42/2.63 (step @p1404 :rule refl :args (@t166)) % 2.42/2.63 (step @p1405 :rule eq-symm :args (@t1109 @t22)) % 2.42/2.63 (step @p1406 :rule refl :args (@t37)) % 2.42/2.63 (step @p1407 :rule nary_cong :premises (@p1406 @p1405) :args (@t1117)) % 2.42/2.63 (step @p1408 :rule refl :args (@t1115)) % 2.42/2.63 (step @p1409 :rule nary_cong :premises (@p1408 @p1407) :args (@t1118)) % 2.42/2.63 (step @p1410 :rule cong :premises (@p1409) :args (@t1119)) % 2.42/2.63 (step @p1411 :rule ho_cong :premises (@p649 @p1410)) % 2.42/2.63 (step @p1412 :rule cong :premises (@p1411) :args ((lambda @t1116 (_ tptp.eps @t1119)))) % 2.42/2.63 (step @p1413 :rule ho_cong :premises (@p1412 @p1404)) % 2.42/2.63 (step @p1414 :rule trans :premises (@p1413 @p1403)) % 2.42/2.63 (step @p1415 :rule refl :args (@t166)) % 2.42/2.63 (step @p1416 :rule alpha_equiv :args (@t1120 @t746 (@list @t1109))) % 2.42/2.63 (step @p1417 :rule ho_cong :premises (@p1416 @p1415)) % 2.42/2.63 (step @p1418 :rule trans :premises (@p1417 @p1414)) % 2.42/2.63 (step @p1419 :rule ho_cong :premises (@p1418 @p1389)) % 2.42/2.63 (step @p1420 :rule trans :premises (@p1419 @p1402)) % 2.42/2.63 (step @p1421 :rule ho_cong :premises (@p1420 @p1401)) % 2.42/2.63 (step @p1422 :rule trans :premises (@p1421 @p1400)) % 2.42/2.63 (step @p1423 :rule cong :premises (@p1422) :args ((lambda @t13 (_ (_ (_ @t1120 @t166) @t2) @t1)))) % 2.42/2.63 (step @p1424 :rule ho_cong :premises (@p1379 @p1423)) % 2.42/2.63 (step @p1425 :rule eq-symm :args (@t22 @t9)) % 2.42/2.63 (step @p1426 :rule nary_cong :premises (@p1406 @p1425) :args (@t159)) % 2.42/2.63 (step @p1427 :rule refl :args (@t32)) % 2.42/2.63 (step @p1428 :rule nary_cong :premises (@p1427 @p1394) :args (@t161)) % 2.42/2.63 (step @p1429 :rule nary_cong :premises (@p1428 @p1426) :args (@t162)) % 2.42/2.63 (step @p1430 :rule cong :premises (@p1429) :args (@t163)) % 2.42/2.63 (step @p1431 :rule ho_cong :premises (@p649 @p1430)) % 2.42/2.63 (step @p1432 :rule cong :premises (@p1431) :args (@t164)) % 2.42/2.63 (step @p1433 :rule trans :premises (@p89 @p1432)) % 2.42/2.63 (step @p1434 :rule ho_cong :premises (@p1433 @p1404)) % 2.42/2.63 (step @p1435 :rule ho_cong :premises (@p1434 @p1389)) % 2.42/2.63 (step @p1436 :rule ho_cong :premises (@p1435 @p1401)) % 2.42/2.63 (step @p1437 :rule cong :premises (@p1436) :args (@t167)) % 2.42/2.63 (step @p1438 :rule ho_cong :premises (@p1379 @p1437)) % 2.42/2.63 (step @p1439 :rule trans :premises (@p1438 @p1424)) % 2.42/2.63 (step @p1440 :rule cong :premises (@p1439) :args (@t171)) % 2.42/2.63 (step @p1441 :rule trans :premises (@p91 @p1440)) % 2.42/2.63 (step @p1442 :rule ho_cong :premises (@p1441 @p1389)) % 2.42/2.63 (step @p1443 :rule ho_cong :premises (@p1442 @p1389)) % 2.42/2.63 (step @p1444 :rule trans :premises (@p1443 @p1393)) % 2.42/2.63 (step @p1445 :rule cong :premises (@p1444) :args (@t173)) % 2.42/2.63 (step @p1446 :rule trans :premises (@p92 @p1445)) % 2.42/2.63 (step @p1447 :rule ho_cong :premises (@p1446 @p1389)) % 2.42/2.63 (step @p1448 :rule beta-reduce :args ((= (_ @t1105 @t1) @t1102))) % 2.42/2.63 (step @p1449 :rule ho_cong :premises (@p1391 @p1401)) % 2.42/2.63 (step @p1450 :rule trans :premises (@p1449 @p1448)) % 2.42/2.63 (step @p1451 :rule ho_cong :premises (@p1381 @p1450)) % 2.42/2.63 (step @p1452 :rule ho_cong :premises (@p1442 @p1401)) % 2.42/2.63 (step @p1453 :rule ho_cong :premises (@p1381 @p1452)) % 2.42/2.63 (step @p1454 :rule trans :premises (@p1453 @p1451)) % 2.42/2.63 (step @p1455 :rule cong :premises (@p1454) :args (@t174)) % 2.42/2.63 (step @p1456 :rule trans :premises (@p93 @p1455)) % 2.42/2.63 (step @p1457 :rule ho_cong :premises (@p1456 @p1389)) % 2.42/2.63 (step @p1458 :rule ho_cong :premises (@p1457 @p1447)) % 2.42/2.63 (step @p1459 :rule trans :premises (@p1458 @p1388)) % 2.42/2.63 (step @p1460 :rule cong :premises (@p1459) :args (@t191)) % 2.42/2.63 (step @p1461 :rule trans :premises (@p100 @p1460)) % 2.42/2.63 (step @p1462 :rule ho_cong :premises (@p1461 @p720)) % 2.42/2.63 (step @p1463 :rule ho_cong :premises (@p1356 @p1462)) % 2.42/2.63 (step @p1464 :rule cong :premises (@p1358 @p1463) :args (@t192)) % 2.42/2.63 (step @p1465 :rule cong :premises (@p1464) :args (@t193)) % 2.42/2.63 (step @p1466 :rule cong :premises (@p1465 @p1239) :args (@t194)) % 2.42/2.63 (step @p1467 :rule cong :premises (@p1363 @p1466) :args (@t196)) % 2.42/2.63 (step @p1468 :rule cong :premises (@p1467) :args (@t198)) % 2.42/2.63 (step @p1469 :rule trans :premises (@p1468 @p1366)) % 2.42/2.63 (step @p1470 :rule cong :premises (@p1469) :args (@t199)) % 2.42/2.63 (step @p1471 :rule trans :premises (@p101 @p1470)) % 2.42/2.63 (step @p1472 :rule refl :args (@t53)) % 2.42/2.63 (step @p1473 :rule beta-reduce :args ((= (_ (lambda @t13 (_ tptp.eps (lambda @t27 (or @t1058 @t1121)))) tptp.emptyset) @t1059))) % 2.42/2.63 (step @p1474 :rule refl :args (tptp.emptyset)) % 2.42/2.63 (step @p1475 :rule refl :args (@t1121)) % 2.42/2.63 (step @p1476 :rule refl :args (@t1056)) % 2.42/2.63 (step @p1477 :rule eq-symm :args (@t395 @t394)) % 2.42/2.63 (step @p1478 :rule refl :args (@t396)) % 2.42/2.63 (step @p1479 :rule nary_cong :premises (@p1478 @p1477) :args (@t1122)) % 2.42/2.63 (step @p1480 :rule nary_cong :premises (@p1479 @p1476) :args (@t1123)) % 2.42/2.63 (step @p1481 :rule cong :premises (@p1480) :args (@t1124)) % 2.42/2.63 (step @p1482 :rule ho_cong :premises (@p649 @p1481)) % 2.42/2.63 (step @p1483 :rule cong :premises (@p1482) :args (@t1125)) % 2.42/2.63 (step @p1484 :rule refl :args (@t28)) % 2.42/2.63 (step @p1485 :rule ho_cong :premises (@p1484 @p1483)) % 2.42/2.63 (step @p1486 :rule cong :premises (@p710 @p1485) :args (@t1126)) % 2.42/2.63 (step @p1487 :rule refl :args (@t1057)) % 2.42/2.63 (step @p1488 :rule nary_cong :premises (@p1487 @p1486) :args (@t1127)) % 2.42/2.63 (step @p1489 :rule nary_cong :premises (@p1488 @p1475) :args (@t1128)) % 2.42/2.63 (step @p1490 :rule cong :premises (@p1489) :args (@t1129)) % 2.42/2.63 (step @p1491 :rule ho_cong :premises (@p649 @p1490)) % 2.42/2.63 (step @p1492 :rule cong :premises (@p1491) :args (@t1130)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1493 :rule trust :premises () :args ((= (lambda @t13 (_ tptp.eps (lambda @t27 (or (and @t1057 (= @t22 (_ @t28 (lambda @t13 (_ tptp.eps (lambda @t399 (or @t1131 (and @t897 @t1055)))))))) @t1121)))) @t1130))) % 2.42/2.63 (step @p1494 :rule trans :premises (@p1493 @p1492)) % 2.42/2.63 (step @p1495 :rule eq-symm :args (@t394 @t1054)) % 2.42/2.63 (step @p1496 :rule refl :args (@t897)) % 2.42/2.63 (step @p1497 :rule nary_cong :premises (@p1496 @p1495) :args (@t1132)) % 2.42/2.63 (step @p1498 :rule refl :args (@t1131)) % 2.42/2.63 (step @p1499 :rule nary_cong :premises (@p1498 @p1497) :args (@t1133)) % 2.42/2.63 (step @p1500 :rule cong :premises (@p1499) :args (@t1134)) % 2.42/2.63 (step @p1501 :rule ho_cong :premises (@p649 @p1500)) % 2.42/2.63 (step @p1502 :rule cong :premises (@p1501) :args (@t1135)) % 2.42/2.63 (step @p1503 :rule ho_cong :premises (@p1484 @p1502)) % 2.42/2.63 (step @p1504 :rule cong :premises (@p710 @p1503) :args (@t1136)) % 2.42/2.63 (step @p1505 :rule nary_cong :premises (@p1487 @p1504) :args (@t1137)) % 2.42/2.63 (step @p1506 :rule nary_cong :premises (@p1505 @p1475) :args (@t1138)) % 2.42/2.63 (step @p1507 :rule cong :premises (@p1506) :args (@t1139)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1508 :rule trust :premises () :args ((= (lambda @t27 (or (and @t1057 (= @t22 @t1142)) @t1121)) @t1139))) % 2.42/2.63 (step @p1509 :rule trans :premises (@p1508 @p1507)) % 2.42/2.63 (step @p1510 :rule eq-symm :args (@t1142 @t22)) % 2.42/2.63 (step @p1511 :rule nary_cong :premises (@p1487 @p1510) :args (@t1143)) % 2.42/2.63 (step @p1512 :rule nary_cong :premises (@p1511 @p1475) :args (@t1144)) % 2.42/2.63 (step @p1513 :rule cong :premises (@p1512) :args (@t1145)) % 2.42/2.63 (step @p1514 :rule trans :premises (@p1513 @p1509)) % 2.42/2.63 (step @p1515 :rule ho_cong :premises (@p649 @p1514)) % 2.42/2.63 (step @p1516 :rule cong :premises (@p1515) :args (@t1146)) % 2.42/2.63 (step @p1517 :rule trans :premises (@p1516 @p1494)) % 2.42/2.63 (step @p1518 :rule beta-reduce :args ((= (_ @t1148 @t1142) @t1146))) % 2.42/2.63 (step @p1519 :rule trans :premises (@p1518 @p1517)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1520 :rule trust :premises () :args ((= @t1149 @t1141))) % 2.42/2.63 (step @p1521 :rule ho_cong :premises (@p649 @p1520)) % 2.42/2.63 (step @p1522 :rule beta-reduce :args ((= (_ @t1153 @t176) (_ tptp.eps @t1149)))) % 2.42/2.63 (step @p1523 :rule trans :premises (@p1522 @p1521)) % 2.42/2.63 (step @p1524 :rule refl :args (@t176)) % 2.42/2.63 (step @p1525 :rule beta-reduce :args ((= (_ @t1154 @t9) @t1153))) % 2.42/2.63 (step @p1526 :rule beta-reduce :args ((= (_ (lambda @t1155 (_ tptp.eps (lambda @t27 (or @t1115 (and @t37 @t1151))))) @t44) @t1154))) % 2.42/2.63 (step @p1527 :rule eq-symm :args (@t1150 @t22)) % 2.42/2.63 (step @p1528 :rule nary_cong :premises (@p1406 @p1527) :args (@t1156)) % 2.42/2.63 (step @p1529 :rule nary_cong :premises (@p1408 @p1528) :args (@t1157)) % 2.42/2.63 (step @p1530 :rule cong :premises (@p1529) :args (@t1158)) % 2.42/2.63 (step @p1531 :rule ho_cong :premises (@p649 @p1530)) % 2.42/2.63 (step @p1532 :rule cong :premises (@p1531) :args ((lambda @t1155 (_ tptp.eps @t1158)))) % 2.42/2.63 (step @p1533 :rule ho_cong :premises (@p1532 @p1358)) % 2.42/2.63 (step @p1534 :rule trans :premises (@p1533 @p1526)) % 2.42/2.63 (step @p1535 :rule alpha_equiv :args (@t1120 @t746 (@list @t1150))) % 2.42/2.63 (step @p1536 :rule ho_cong :premises (@p1535 @p1338)) % 2.42/2.63 (step @p1537 :rule trans :premises (@p1536 @p1534)) % 2.42/2.63 (step @p1538 :rule ho_cong :premises (@p1537 @p720)) % 2.42/2.63 (step @p1539 :rule trans :premises (@p1538 @p1525)) % 2.42/2.63 (step @p1540 :rule ho_cong :premises (@p1539 @p1524)) % 2.42/2.63 (step @p1541 :rule trans :premises (@p1540 @p1523)) % 2.42/2.63 (step @p1542 :rule cong :premises (@p1541) :args ((lambda @t13 (_ (_ (_ @t1120 @t44) @t9) @t176)))) % 2.42/2.63 (step @p1543 :rule ho_cong :premises (@p1484 @p1542)) % 2.42/2.63 ; trust TRUST_THEORY_REWRITE % 2.42/2.63 (step @p1544 :rule trust :premises () :args ((= (lambda @t1147 (_ tptp.eps (lambda @t27 (or @t1162 (and @t1160 @t81))))) @t1148))) % 2.42/2.63 (step @p1545 :rule refl :args (@t81)) % 2.42/2.63 (step @p1546 :rule bool-double-not-elim :args (@t1160)) % 2.42/2.63 (step @p1547 :rule nary_cong :premises (@p1546 @p1545) :args (@t1163)) % 2.42/2.63 (step @p1548 :rule refl :args (@t1162)) % 2.42/2.63 (step @p1549 :rule nary_cong :premises (@p1548 @p1547) :args (@t1164)) % 2.42/2.63 (step @p1550 :rule cong :premises (@p1549) :args (@t1165)) % 2.42/2.63 (step @p1551 :rule ho_cong :premises (@p649 @p1550)) % 2.42/2.63 (step @p1552 :rule cong :premises (@p1551) :args (@t1166)) % 2.42/2.63 (step @p1553 :rule trans :premises (@p1552 @p1544)) % 2.42/2.63 (step @p1554 :rule beta-reduce :args ((= (_ @t1120 @t1161) @t1166))) % 2.42/2.63 (step @p1555 :rule trans :premises (@p1554 @p1553)) % 2.42/2.63 (step @p1556 :rule refl :args (@t1159)) % 2.42/2.63 (step @p1557 :rule refl :args (@t17)) % 2.42/2.63 (step @p1558 :rule cong :premises (@p1557 @p1556) :args ((= @t17 @t1159))) % 2.42/2.63 (step @p1559 :rule symm :premises (@p1558)) % 2.42/2.63 (step @p1560 :rule eq_resolve :premises (@p1557 @p1559)) % 2.42/2.63 (step @p1561 :rule cong :premises (@p1560) :args (@t1167)) % 2.42/2.63 (step @p1562 :rule nary_cong :premises (@p1561 @p1342) :args (@t1168)) % 2.42/2.63 (step @p1563 :rule cong :premises (@p1562) :args ((forall @t13 @t1168))) % 2.42/2.63 (step @p1564 :rule bool-and-de-morgan :args (@t17 @t44 true)) % 2.42/2.63 (step @p1565 :rule cong :premises (@p1564) :args (@t1169)) % 2.42/2.63 (step @p1566 :rule trans :premises (@p1565 @p1563)) % 2.42/2.63 (step @p1567 :rule cong :premises (@p1566) :args (@t1170)) % 2.42/2.63 (step @p1568 :rule exists-elim :args ((= @t179 @t1170))) % 2.42/2.63 (step @p1569 :rule trans :premises (@p1568 @p1567)) % 2.42/2.63 (step @p1570 :rule refl :args (@t1120)) % 2.42/2.63 (step @p1571 :rule ho_cong :premises (@p1570 @p1569)) % 2.42/2.63 (step @p1572 :rule trans :premises (@p1571 @p1555)) % 2.42/2.63 (step @p1573 :rule ho_cong :premises (@p1572 @p1543)) % 2.42/2.63 (step @p1574 :rule trans :premises (@p1573 @p1519)) % 2.42/2.63 (step @p1575 :rule ho_cong :premises (@p1574 @p1474)) % 2.42/2.63 (step @p1576 :rule trans :premises (@p1575 @p1473)) % 2.42/2.63 (step @p1577 :rule ho_cong :premises (@p1433 @p1358)) % 2.42/2.63 (step @p1578 :rule ho_cong :premises (@p1577 @p720)) % 2.42/2.63 (step @p1579 :rule ho_cong :premises (@p1578 @p1524)) % 2.42/2.63 (step @p1580 :rule cong :premises (@p1579) :args (@t177)) % 2.42/2.63 (step @p1581 :rule ho_cong :premises (@p1484 @p1580)) % 2.42/2.63 (step @p1582 :rule refl :args (@t179)) % 2.42/2.63 (step @p1583 :rule ho_cong :premises (@p1433 @p1582)) % 2.42/2.63 (step @p1584 :rule ho_cong :premises (@p1583 @p1581)) % 2.42/2.63 (step @p1585 :rule ho_cong :premises (@p1584 @p1474)) % 2.42/2.63 (step @p1586 :rule trans :premises (@p1585 @p1576)) % 2.42/2.63 (step @p1587 :rule cong :premises (@p1586) :args (@t180)) % 2.42/2.63 (step @p1588 :rule trans :premises (@p95 @p1587)) % 2.42/2.63 (step @p1589 :rule ho_cong :premises (@p1588 @p1472)) % 2.42/2.63 (step @p1590 :rule ho_cong :premises (@p1589 @p1471)) % 2.42/2.63 (step @p1591 :rule cong :premises (@p1215 @p1590) :args (@t54)) % 2.42/2.63 (step @p1592 :rule trans :premises (@p1591 @p1216)) % 2.42/2.63 (step @p1593 :rule eq_resolve :premises (@p26 @p1592)) % 2.42/2.63 (step @p1594 :rule cong :premises (@p623 @p1593) :args (@t1171)) % 2.42/2.63 (step @p1595 :rule cong :premises (@p1594) :args (@t1172)) % 2.42/2.63 (step @p1596 :rule nary_cong :premises (@p1595 @p550) :args (@t1173)) % 2.42/2.63 (step @p1597 :rule cong :premises (@p1596) :args (@t1174)) % 2.42/2.63 (step @p1598 :rule nary_cong :premises (@p1597 @p549) :args (@t1175)) % 2.42/2.63 (step @p1599 :rule ho_cong :premises (@p673 @p1593)) % 2.42/2.63 (step @p1600 :rule nary_cong :premises (@p1599 @p629) :args (@t1177)) % 2.42/2.63 (step @p1601 :rule cong :premises (@p1600) :args (@t1178)) % 2.42/2.63 (step @p1602 :rule ho_cong :premises (@p649 @p1601)) % 2.42/2.63 (step @p1603 :rule cong :premises (@p601 @p1602) :args (@t1179)) % 2.42/2.63 (step @p1604 :rule nary_cong :premises (@p679 @p1603) :args (@t1180)) % 2.42/2.63 (step @p1605 :rule nary_cong :premises (@p681 @p1604) :args (@t1181)) % 2.42/2.63 (step @p1606 :rule cong :premises (@p1605) :args (@t1182)) % 2.42/2.63 (step @p1607 :rule ho_cong :premises (@p649 @p1606)) % 2.42/2.63 (step @p1608 :rule cong :premises (@p1607) :args (@t1183)) % 2.42/2.63 (step @p1609 :rule ho_cong :premises (@p707 @p1593)) % 2.42/2.63 (step @p1610 :rule ho_cong :premises (@p1609 @p1608)) % 2.42/2.63 (step @p1611 :rule cong :premises (@p710 @p1610) :args (@t1185)) % 2.42/2.63 (step @p1612 :rule cong :premises (@p1597) :args (@t1186)) % 2.42/2.63 (step @p1613 :rule nary_cong :premises (@p1612 @p1611) :args (@t1187)) % 2.42/2.63 (step @p1614 :rule nary_cong :premises (@p1613 @p1598) :args (@t1188)) % 2.42/2.63 (step @p1615 :rule cong :premises (@p1614) :args (@t1189)) % 2.42/2.63 (step @p1616 :rule ho_cong :premises (@p649 @p1615)) % 2.42/2.63 (step @p1617 :rule cong :premises (@p855 @p1616) :args ((= tptp.nat (_ tptp.eps @t1189)))) % 2.42/2.63 (step @p1618 :rule trans :premises (@p1617 @p1116)) % 2.42/2.63 (step @p1619 :rule bool-double-not-elim :args (@t359)) % 2.42/2.63 (step @p1620 :rule eq-symm :args (@t358 tptp.emptyset)) % 2.42/2.63 (step @p1621 :rule cong :premises (@p1620) :args (@t1190)) % 2.42/2.63 (step @p1622 :rule beta-reduce :args ((= @t1191 @t1190))) % 2.42/2.63 (step @p1623 :rule trans :premises (@p1622 @p1621)) % 2.42/2.63 (step @p1624 :rule cong :premises (@p1623) :args (@t1192)) % 2.42/2.63 (step @p1625 :rule trans :premises (@p1624 @p1619)) % 2.42/2.63 (step @p1626 :rule refl :args (@t1172)) % 2.42/2.63 (step @p1627 :rule nary_cong :premises (@p1626 @p1625) :args (@t1193)) % 2.42/2.63 (step @p1628 :rule cong :premises (@p1627) :args (@t1194)) % 2.42/2.63 (step @p1629 :rule nary_cong :premises (@p1628 @p549) :args (@t1195)) % 2.42/2.63 (step @p1630 :rule eq-symm :args (@t387 tptp.emptyset)) % 2.42/2.63 (step @p1631 :rule cong :premises (@p1630) :args (@t1196)) % 2.42/2.63 (step @p1632 :rule beta-reduce :args ((= @t1197 @t1196))) % 2.42/2.63 (step 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:premises (@p1800 @p2652)) % 2.42/2.64 (step @p2656 :rule ho_cong :premises (@p2655 @p2636)) % 2.42/2.64 (step @p2657 :rule cong :premises (@p2656 @p2654) :args ((= (_ (_ tptp.n_is @t1791) @t1799) @t1800))) % 2.42/2.64 (step @p2658 :rule symm :premises (@p2657)) % 2.42/2.64 (step @p2659 :rule refl :args (@t1826)) % 2.42/2.64 (step @p2660 :rule eq_resolve :premises (@p2659 @p2658)) % 2.42/2.64 (step @p2661 :rule ho_cong :premises (@p1265 @p2634)) % 2.42/2.64 (step @p2662 :rule cong :premises (@p2661 @p2636) :args ((= (_ tptp.union @t1798) @t1799))) % 2.42/2.64 (step @p2663 :rule symm :premises (@p2662)) % 2.42/2.64 (step @p2664 :rule refl :args (@t1814)) % 2.42/2.64 (step @p2665 :rule eq_resolve :premises (@p2664 @p2663)) % 2.42/2.64 (step @p2666 :rule ho_cong :premises (@p1271 @p2632)) % 2.42/2.64 (step @p2667 :rule cong :premises (@p2666 @p2634) :args ((= (_ @t1074 @t1797) @t1798))) % 2.42/2.64 (step @p2668 :rule symm :premises (@p2667)) % 2.42/2.64 (step @p2669 :rule refl :args (@t1813)) % 2.42/2.64 (step @p2670 :rule eq_resolve :premises (@p2669 @p2668)) % 2.42/2.64 (step @p2671 :rule ho_cong :premises (@p378 @p2629)) % 2.42/2.64 (step @p2672 :rule cong :premises (@p2671 @p2631) :args ((= (_ tptp.eps @t1795) @t1796))) % 2.42/2.64 (step @p2673 :rule symm :premises (@p2672)) % 2.42/2.64 (step @p2674 :rule refl :args (@t1811)) % 2.42/2.64 (step @p2675 :rule eq_resolve :premises (@p2674 @p2673)) % 2.42/2.64 (step @p2676 :rule refl :args (@t1805)) % 2.42/2.64 (step @p2677 :rule cong :premises (@p2676 @p2624) :args ((= @t1805 @t1366))) % 2.42/2.64 (step @p2678 :rule symm :premises (@p2677)) % 2.42/2.64 (step @p2679 :rule eq_resolve :premises (@p2676 @p2678)) % 2.42/2.64 (step @p2680 :rule cong :premises (@p2679) :args (@t1806)) % 2.42/2.64 (step @p2681 :rule nary_cong :premises (@p2680 @p1319) :args (@t1807)) % 2.42/2.64 (step @p2682 :rule nary_cong :premises (@p2679 @p1246) :args (@t1808)) % 2.42/2.64 (step @p2683 :rule nary_cong :premises (@p2682 @p2681) :args (@t1809)) % 2.42/2.64 (step @p2684 :rule cong :premises (@p2683) :args (@t1810)) % 2.42/2.64 (step @p2685 :rule ho_cong :premises (@p378 @p2684)) % 2.42/2.64 (step @p2686 :rule trans :premises (@p2685 @p2675)) % 2.42/2.64 (step @p2687 :rule cong :premises (@p2686) :args (@t1812)) % 2.42/2.64 (step @p2688 :rule ho_cong :premises (@p1316 @p2687)) % 2.42/2.64 (step @p2689 :rule trans :premises (@p2688 @p2670)) % 2.42/2.64 (step @p2690 :rule ho_cong :premises (@p1265 @p2689)) % 2.42/2.64 (step @p2691 :rule trans :premises (@p2690 @p2665)) % 2.42/2.64 (step @p2692 :rule ho_cong :premises (@p1265 @p2650)) % 2.42/2.64 (step @p2693 :rule cong :premises (@p2692 @p2652) :args ((= (_ tptp.union @t1790) @t1791))) % 2.42/2.64 (step @p2694 :rule symm :premises (@p2693)) % 2.42/2.64 (step @p2695 :rule refl :args (@t1824)) % 2.42/2.64 (step @p2696 :rule eq_resolve :premises (@p2695 @p2694)) % 2.42/2.64 (step @p2697 :rule ho_cong :premises (@p1271 @p2648)) % 2.42/2.64 (step @p2698 :rule cong :premises (@p2697 @p2650) :args ((= (_ @t1074 @t1789) @t1790))) % 2.42/2.64 (step @p2699 :rule symm :premises (@p2698)) % 2.42/2.64 (step @p2700 :rule refl :args (@t1823)) % 2.42/2.64 (step @p2701 :rule eq_resolve :premises (@p2700 @p2699)) % 2.42/2.64 (step @p2702 :rule ho_cong :premises (@p378 @p2645)) % 2.42/2.64 (step @p2703 :rule cong :premises (@p2702 @p2647) :args ((= (_ tptp.eps @t1787) @t1788))) % 2.42/2.64 (step @p2704 :rule symm :premises (@p2703)) % 2.42/2.64 (step @p2705 :rule refl :args (@t1821)) % 2.42/2.64 (step @p2706 :rule eq_resolve :premises (@p2705 @p2704)) % 2.42/2.64 (step @p2707 :rule refl :args (@t1815)) % 2.42/2.64 (step @p2708 :rule cong :premises (@p2707 @p2640) :args ((= @t1815 @t1371))) % 2.42/2.64 (step @p2709 :rule symm :premises (@p2708)) % 2.42/2.64 (step @p2710 :rule eq_resolve :premises (@p2707 @p2709)) % 2.42/2.64 (step @p2711 :rule cong :premises (@p2710) :args (@t1816)) % 2.42/2.64 (step @p2712 :rule nary_cong :premises (@p2711 @p1872) :args (@t1817)) % 2.42/2.64 (step @p2713 :rule nary_cong :premises (@p2710 @p1787) :args (@t1818)) % 2.42/2.64 (step @p2714 :rule nary_cong :premises (@p2713 @p2712) :args (@t1819)) % 2.42/2.64 (step @p2715 :rule cong :premises (@p2714) :args (@t1820)) % 2.42/2.64 (step @p2716 :rule ho_cong :premises (@p378 @p2715)) % 2.42/2.64 (step @p2717 :rule trans :premises (@p2716 @p2706)) % 2.42/2.64 (step @p2718 :rule cong :premises (@p2717) :args (@t1822)) % 2.42/2.64 (step @p2719 :rule ho_cong :premises (@p1316 @p2718)) % 2.42/2.64 (step @p2720 :rule trans :premises (@p2719 @p2701)) % 2.42/2.64 (step @p2721 :rule ho_cong :premises (@p1265 @p2720)) % 2.42/2.64 (step @p2722 :rule trans :premises (@p2721 @p2696)) % 2.42/2.64 (step @p2723 :rule ho_cong :premises (@p1800 @p2722)) % 2.42/2.64 (step @p2724 :rule ho_cong :premises (@p2723 @p2691)) % 2.42/2.64 (step @p2725 :rule trans :premises (@p2724 @p2660)) % 2.42/2.64 (step @p2726 :rule cong :premises (@p2725) :args (@t1827)) % 2.42/2.64 (step @p2727 :rule nary_cong :premises (@p1700 @p1750 @p2726) :args (@t1828)) % 2.42/2.64 (step @p2728 :rule cong :premises (@p2727) :args ((forall @t13 @t1828))) % 2.42/2.64 (step @p2729 :rule aci_norm :args ((= (or @t1231 (or @t1299 @t1827)) @t1828))) % 2.42/2.64 (step @p2730 :rule refl :args (@t1827)) % 2.42/2.64 (step @p2731 :rule bool-double-not-elim :args (@t1299)) % 2.42/2.64 (step @p2732 :rule nary_cong :premises (@p2731 @p2730) :args ((or (not @t1829) @t1827))) % 2.42/2.64 (step @p2733 :rule bool-impl-elim :args (@t1829 @t1827)) % 2.42/2.64 (step @p2734 :rule trans :premises (@p2733 @p2732)) % 2.42/2.64 (step @p2735 :rule nary_cong :premises (@p1700 @p2734) :args (@t1831)) % 2.42/2.64 (step @p2736 :rule trans :premises (@p2735 @p2729)) % 2.42/2.64 (step @p2737 :rule cong :premises (@p2736) :args ((forall @t13 @t1831))) % 2.42/2.64 (step @p2738 :rule trans :premises (@p2737 @p2728)) % 2.42/2.64 (step @p2739 :rule beta-reduce :args ((= (_ (lambda @t8 (=> @t1832 (not (_ @t1825 (_ tptp.union (_ @t170 (lambda @t1368 (_ tptp.eps (lambda @t27 (or (and @t1805 @t1101) (and @t1806 @t1327))))))))))) @t9) @t1830))) % 2.42/2.64 (step @p2740 :rule alpha_equiv :args (@t1328 @t746 (@list @t1365))) % 2.42/2.64 (step @p2741 :rule ho_cong :premises (@p1350 @p2740)) % 2.42/2.64 (step @p2742 :rule ho_cong :premises (@p1265 @p2741)) % 2.42/2.64 (step @p2743 :rule alpha_equiv :args (@t1088 @t746 (@list @t1370))) % 2.42/2.64 (step @p2744 :rule ho_cong :premises (@p1350 @p2743)) % 2.42/2.64 (step @p2745 :rule ho_cong :premises (@p1265 @p2744)) % 2.42/2.64 (step @p2746 :rule ho_cong :premises (@p1800 @p2745)) % 2.42/2.64 (step @p2747 :rule ho_cong :premises (@p2746 @p2742)) % 2.42/2.64 (step @p2748 :rule cong :premises (@p2747) :args (@t1833)) % 2.42/2.64 (step @p2749 :rule refl :args (@t1832)) % 2.42/2.64 (step @p2750 :rule cong :premises (@p2749 @p2748) :args (@t1834)) % 2.42/2.64 (step @p2751 :rule cong :premises (@p2750) :args (@t1835)) % 2.42/2.64 (step @p2752 :rule ho_cong :premises (@p2751 @p542)) % 2.42/2.64 (step @p2753 :rule trans :premises (@p2752 @p2739)) % 2.42/2.64 (step @p2754 :rule nary_cong :premises (@p1740 @p2753) :args (@t1836)) % 2.42/2.64 (step @p2755 :rule cong :premises (@p2754) :args (@t1837)) % 2.42/2.64 (step @p2756 :rule trans :premises (@p2755 @p2738)) % 2.42/2.64 (step @p2757 :rule beta-reduce :args ((= (_ @t1298 @t1835) @t1837))) % 2.42/2.64 (step @p2758 :rule trans :premises (@p2757 @p2756)) % 2.42/2.64 (step @p2759 :rule beta-reduce :args ((= (_ @t1838 @t1329) @t1833))) % 2.42/2.64 (step @p2760 :rule beta-reduce :args ((= (_ @t1839 @t1089) @t1838))) % 2.42/2.64 (step @p2761 :rule refl :args (@t1839)) % 2.42/2.64 (step @p2762 :rule ho_cong :premises (@p2761 @p1922)) % 2.42/2.64 (step @p2763 :rule trans :premises (@p2762 @p2760)) % 2.42/2.64 (step @p2764 :rule ho_cong :premises (@p2763 @p1921)) % 2.42/2.64 (step @p2765 :rule trans :premises (@p2764 @p2759)) % 2.42/2.64 (step @p2766 :rule beta-reduce :args ((= (_ @t1840 @t1) @t1832))) % 2.42/2.64 (step @p2767 :rule beta-reduce :args ((= @t1841 @t1840))) % 2.42/2.64 (step @p2768 :rule ho_cong :premises (@p2767 @p1401)) % 2.42/2.64 (step @p2769 :rule trans :premises (@p2768 @p2766)) % 2.42/2.64 (step @p2770 :rule cong :premises (@p2769 @p2765) :args (@t1842)) % 2.42/2.64 (step @p2771 :rule cong :premises (@p2770) :args (@t1843)) % 2.42/2.64 (step @p2772 :rule ho_cong :premises (@p1944 @p2771)) % 2.42/2.64 (step @p2773 :rule trans :premises (@p2772 @p2758)) % 2.42/2.64 (step @p2774 :rule cong :premises (@p2773) :args (@t1844)) % 2.42/2.64 (step @p2775 :rule ho_cong :premises (@p1955 @p2774)) % 2.42/2.64 (step @p2776 :rule trans :premises (@p2775 @p2619)) % 2.42/2.64 (step @p2777 :rule cong :premises (@p2776) :args ((not (_ @t1356 @t1844)))) % 2.42/2.64 (step @p2778 :rule bool-eq-true :args (@t137)) % 2.42/2.64 (step @p2779 :rule cong :premises (@p2778) :args (@t1846)) % 2.42/2.64 (step @p2780 :rule aci_norm :args ((= (and @t1846 true) @t1846))) % 2.42/2.64 (step @p2781 :rule ite-then-false :args (@t1845 true)) % 2.42/2.64 (step @p2782 :rule trans :premises (@p2781 @p2780)) % 2.42/2.64 (step @p2783 :rule trans :premises (@p2782 @p2779)) % 2.42/2.64 (step @p2784 :rule beta-reduce :args ((= (_ @t1850 @t137) (ite @t1845 false true)))) % 2.42/2.64 (step @p2785 :rule trans :premises (@p2784 @p2783)) % 2.42/2.64 (step @p2786 :rule refl :args (@t1850)) % 2.42/2.64 (step @p2787 :rule symm :premises (@p2786)) % 2.42/2.64 (step @p2788 :rule bool-eq-true :args (@t1847)) % 2.42/2.64 (step @p2789 :rule cong :premises (@p2788) :args ((not @t1848))) % 2.42/2.64 (step @p2790 :rule bool-eq-false :args (@t1848)) % 2.42/2.64 (step @p2791 :rule trans :premises (@p2790 @p2789)) % 2.42/2.64 (step @p2792 :rule evaluate :args ((not true))) % 2.42/2.64 (step @p2793 :rule ite-neg-branch :premises (@p2792) :args (@t1848 false true)) % 2.42/2.64 (step @p2794 :rule trans :premises (@p2793 @p2791)) % 2.42/2.64 (step @p2795 :rule symm :premises (@p2794)) % 2.42/2.64 (step @p2796 :rule cong :premises (@p2795) :args ((lambda @t1849 (not @t1847)))) % 2.42/2.64 (step @p2797 :rule alpha_equiv :args ((lambda @t91 @t37) (@list @t32) (@list @t1847))) % 2.42/2.64 (step @p2798 :rule trans :premises (@p2797 @p2796)) % 2.42/2.64 (step @p2799 :rule trans :premises (@p2798 @p2787)) % 2.42/2.64 (step @p2800 :rule ho_cong :premises (@p2799 @p1920)) % 2.42/2.64 (step @p2801 :rule trans :premises (@p2800 @p2785)) % 2.42/2.64 (step @p2802 :rule bool-impl-false1 :args (@t32)) % 2.42/2.64 (step @p2803 :rule beta-reduce :args ((= (_ @t1851 false) (=> @t32 false)))) % 2.42/2.64 (step @p2804 :rule trans :premises (@p2803 @p2802)) % 2.42/2.64 (step @p2805 :rule refl :args (false)) % 2.42/2.64 (step @p2806 :rule beta-reduce :args ((= (_ @t214 @t32) @t1851))) % 2.42/2.64 (step @p2807 :rule ho_cong :premises (@p2806 @p2805)) % 2.42/2.64 (step @p2808 :rule trans :premises (@p2807 @p2804)) % 2.42/2.64 (step @p2809 :rule ho_cong :premises (@p111 @p1427)) % 2.42/2.64 (step @p2810 :rule ho_cong :premises (@p2809 @p2805)) % 2.42/2.64 (step @p2811 :rule trans :premises (@p2810 @p2808)) % 2.42/2.64 (step @p2812 :rule cong :premises (@p2811) :args (@t216)) % 2.42/2.64 (step @p2813 :rule trans :premises (@p112 @p2812)) % 2.42/2.64 (step @p2814 :rule ho_cong :premises (@p2813 @p1920)) % 2.42/2.64 (step @p2815 :rule trans :premises (@p2814 @p2801)) % 2.42/2.64 (step @p2816 :rule cong :premises (@p2815) :args (@t323)) % 2.42/2.64 (step @p2817 :rule trans :premises (@p172 @p2816)) % 2.42/2.64 (step @p2818 :rule ho_cong :premises (@p2817 @p1959)) % 2.42/2.64 (step @p2819 :rule ho_cong :premises (@p2818 @p1958)) % 2.42/2.64 (step @p2820 :rule ho_cong :premises (@p2817 @p1389)) % 2.42/2.64 (step @p2821 :rule ho_cong :premises (@p2820 @p1401)) % 2.42/2.64 (step @p2822 :rule cong :premises (@p2821 @p2819) :args (@t143)) % 2.42/2.64 (step @p2823 :rule cong :premises (@p2822) :args (@t144)) % 2.42/2.64 (step @p2824 :rule ho_cong :premises (@p1991 @p2823)) % 2.42/2.64 (step @p2825 :rule cong :premises (@p2824) :args (@t145)) % 2.42/2.64 (step @p2826 :rule ho_cong :premises (@p1995 @p2825)) % 2.42/2.64 (step @p2827 :rule cong :premises (@p2826) :args (@t146)) % 2.42/2.64 (step @p2828 :rule trans :premises (@p2827 @p2777)) % 2.42/2.64 (step @p2829 :rule trans :premises (@p2828 @p2571)) % 2.42/2.64 (step @p2830 :rule eq_resolve :premises (@p80 @p2829)) % 2.42/2.64 (step @p2831 false :rule chain_m_resolution :premises (@p2830 @p2014) :args (false @t1546 (@list @t1492))) % 2.42/2.64 ) % 2.42/2.64 % SZS output end Proof % 2.42/2.64 % cvc5 exiting %------------------------------------------------------------------------------