0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.34	% Computer : n031.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 1920
0.12/0.34	% WCLimit  : 240
0.12/0.34	% DateTime : Fri Sep  5 22:15:07 EDT 2025
0.12/0.34	% CPUTime  : 
0.20/0.50	%----Proving TH0
154.50/154.78	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
154.50/154.78	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s...
154.50/154.78	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s...
154.50/154.78	--- Run --ho-elim --full-saturate-quant at 14s...
154.50/154.78	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
154.50/154.78	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
154.50/154.78	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
154.50/154.78	% SZS status Theorem
154.50/154.78	% SZS output start Proof
154.50/154.78	(
154.50/154.78	(declare-type $$unsorted ())
154.50/154.78	(define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))
154.50/154.78	(define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))
154.50/154.78	(define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3)))))))
154.50/154.78	(define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1)))))))
154.50/154.78	(define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))
154.50/154.78	(define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
154.50/154.78	(define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1)))))))
154.50/154.78	(define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1)))))))
154.50/154.78	(define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
154.50/154.78	(define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1))))))))
154.50/154.78	(define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1)))))))))
154.50/154.78	(define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
154.50/154.78	(define tptp.trans () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "Y" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1))))))))))
154.50/154.78	(define tptp.tc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_1) (forall (@list _let_3) (=> (and (_ tptp.trans _let_3) (_ (_ tptp.subrel _let_4) _let_3)) (_ (_ _let_3 _let_2) _let_1)))))))))
154.50/154.78	(define tptp.trc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.rc (_ tptp.tc _let_3)) _let_2) _let_1))))))
154.50/154.78	(define tptp.trsc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.sc (_ tptp.rc (_ tptp.tc _let_3))) _let_2) _let_1))))))
154.50/154.78	(define tptp.po () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.refl _let_1) (_ tptp.antisymm _let_1) (_ tptp.trans _let_1)))))
154.50/154.78	(define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1)))))
154.50/154.78	(define tptp.total () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (or (= _let_1 _let_2) (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
154.50/154.78	(define tptp.term () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "A" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1))))))))))))))))
154.50/154.78	(define tptp.ind () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@list _let_1))) (let ((_let_5 (@var "Y" $$unsorted))) (let ((_let_6 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_6) (forall (@list _let_2) (=> (forall _let_4 (=> (forall (@list _let_5) (=> (_ (_ (_ tptp.tc _let_6) _let_1) _let_5) (_ _let_2 _let_5))) _let_3)) (forall _let_4 _let_3)))))))))))
154.50/154.78	(define tptp.innf () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (not (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1))))))))
154.50/154.78	(define tptp.nfof () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "Y" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (and (_ (_ (_ tptp.trc _let_2) _let_3) _let_1) (_ (_ tptp.innf _let_2) _let_1)))))))
154.50/154.78	(define tptp.norm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1) (exists (@list _let_2) (_ (_ (_ tptp.nfof _let_3) _let_2) _let_1))))))))
154.50/154.78	(define tptp.join () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ tptp.trc _let_3))) (let ((_let_5 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1))))))))))
154.50/154.78	(define tptp.lconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))))
154.50/154.78	(define tptp.sconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))
154.50/154.78	(define tptp.confl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ (_ tptp.trc _let_3) _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))))
154.50/154.78	(define tptp.cr () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ (_ tptp.trsc _let_3) _let_2) _let_1) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))
154.50/154.78	(define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t2 () (=> (_ tptp.confl @t1) (_ tptp.lconfl @t1)))
154.50/154.78	(define @t3 () (@list @t1))
154.50/154.78	(define @t4 () (forall @t3 @t2))
154.50/154.78	(define @t5 () (not @t4))
154.50/154.78	(define @t6 () (@var "Y" $$unsorted))
154.50/154.78	(define @t7 () (@var "X" $$unsorted))
154.50/154.78	(define @t8 () (@var "S" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t9 () (_ (_ @t8 @t7) @t6))
154.50/154.78	(define @t10 () (_ @t1 @t7))
154.50/154.78	(define @t11 () (_ @t10 @t6))
154.50/154.78	(define @t12 () (@list @t7 @t6))
154.50/154.78	(define @t13 () (forall @t12 (=> @t11 @t9)))
154.50/154.78	(define @t14 () (@list @t1 @t8))
154.50/154.78	(define @t15 () (lambda @t14 @t13))
154.50/154.78	(define @t16 () (_ @t1 @t6))
154.50/154.78	(define @t17 () (_ @t16 @t7))
154.50/154.78	(define @t18 () (@list @t1 @t7 @t6))
154.50/154.78	(define @t19 () (lambda @t18 @t17))
154.50/154.78	(define @t20 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t21 () (_ @t20 @t1))
154.50/154.78	(define @t22 () (@list @t20))
154.50/154.78	(define @t23 () (lambda @t22 (forall @t3 (= (_ @t20 @t21) @t21))))
154.50/154.78	(define @t24 () (_ tptp.subrel @t1))
154.50/154.78	(define @t25 () (lambda @t22 (forall @t3 (_ @t24 @t21))))
154.50/154.78	(define @t26 () (_ @t24 @t8))
154.50/154.78	(define @t27 () (lambda @t22 (forall @t14 (=> @t26 (_ (_ tptp.subrel @t21) (_ @t20 @t8))))))
154.50/154.78	(define @t28 () (_ @t10 @t7))
154.50/154.78	(define @t29 () (@list @t7))
154.50/154.78	(define @t30 () (lambda @t3 (forall @t29 @t28)))
154.50/154.78	(define @t31 () (lambda @t3 (forall @t29 (not @t28))))
154.50/154.78	(define @t32 () (= @t7 @t6))
154.50/154.78	(define @t33 () (lambda @t18 (or @t32 @t11)))
154.50/154.78	(define @t34 () (lambda @t3 (forall @t12 (=> @t11 @t17))))
154.50/154.78	(define @t35 () (lambda @t3 (forall @t12 (=> (and @t11 @t17) @t32))))
154.50/154.78	(define @t36 () (lambda @t3 (forall @t12 (=> @t11 (not @t17)))))
154.50/154.78	(define @t37 () (lambda @t18 (or @t17 @t11)))
154.50/154.78	(define @t38 () (@var "Z" $$unsorted))
154.50/154.78	(define @t39 () (_ @t10 @t38))
154.50/154.78	(define @t40 () (_ @t16 @t38))
154.50/154.78	(define @t41 () (and @t11 @t40))
154.50/154.78	(define @t42 () (@list @t7 @t6 @t38))
154.50/154.78	(define @t43 () (forall @t42 (=> @t41 @t39)))
154.50/154.78	(define @t44 () (lambda @t3 @t43))
154.50/154.78	(define @t45 () (and (_ tptp.trans @t8) @t26))
154.50/154.78	(define @t46 () (=> @t45 @t9))
154.50/154.78	(define @t47 () (@list @t8))
154.50/154.78	(define @t48 () (forall @t47 @t46))
154.50/154.78	(define @t49 () (lambda @t18 @t48))
154.50/154.78	(define @t50 () (@var "__flatten_var_1" $$unsorted))
154.50/154.78	(define @t51 () (@var "__flatten_var_0" $$unsorted))
154.50/154.78	(define @t52 () (_ tptp.tc @t1))
154.50/154.78	(define @t53 () (_ tptp.rc @t52))
154.50/154.78	(define @t54 () (@list @t1 @t51 @t50))
154.50/154.78	(define @t55 () (lambda @t54 (_ (_ @t53 @t51) @t50)))
154.50/154.78	(define @t56 () (lambda @t54 (_ (_ (_ tptp.sc @t53) @t51) @t50)))
154.50/154.78	(define @t57 () (_ tptp.trans @t1))
154.50/154.78	(define @t58 () (lambda @t3 (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t57)))
154.50/154.78	(define @t59 () (lambda @t3 (and (_ tptp.asymm @t1) @t57)))
154.50/154.78	(define @t60 () (lambda @t3 (forall @t12 (or @t32 @t11 @t17))))
154.50/154.78	(define @t61 () (not @t11))
154.50/154.78	(define @t62 () (@var "A" (-> $$unsorted Bool)))
154.50/154.78	(define @t63 () (@list @t6))
154.50/154.78	(define @t64 () (_ @t62 @t7))
154.50/154.78	(define @t65 () (lambda @t3 (forall (@list @t62) (=> (exists @t29 @t64) (exists @t29 (and @t64 (forall @t63 (=> (_ @t62 @t6) @t61))))))))
154.50/154.78	(define @t66 () (@var "P" (-> $$unsorted Bool)))
154.50/154.78	(define @t67 () (_ @t66 @t7))
154.50/154.78	(define @t68 () (lambda @t3 (forall (@list @t66) (=> (forall @t29 (=> (forall @t63 (=> (_ (_ @t52 @t7) @t6) (_ @t66 @t6))) @t67)) (forall @t29 @t67)))))
154.50/154.78	(define @t69 () (lambda (@list @t1 @t7) (not (exists @t63 @t11))))
154.50/154.78	(define @t70 () (_ tptp.trc @t1))
154.50/154.78	(define @t71 () (_ @t70 @t6))
154.50/154.78	(define @t72 () (lambda @t18 (and (_ @t71 @t7) (_ (_ tptp.innf @t1) @t7))))
154.50/154.78	(define @t73 () (lambda @t3 (forall @t29 (exists @t63 (_ (_ (_ tptp.nfof @t1) @t6) @t7)))))
154.50/154.78	(define @t74 () (_ @t70 @t7))
154.50/154.78	(define @t75 () (_ @t74 @t38))
154.50/154.78	(define @t76 () (and @t75 (_ @t71 @t38)))
154.50/154.78	(define @t77 () (@list @t38))
154.50/154.78	(define @t78 () (exists @t77 @t76))
154.50/154.78	(define @t79 () (lambda @t18 @t78))
154.50/154.78	(define @t80 () (_ tptp.join @t1))
154.50/154.78	(define @t81 () (_ (_ @t80 @t38) @t6))
154.50/154.78	(define @t82 () (and @t39 @t11))
154.50/154.78	(define @t83 () (=> @t82 @t81))
154.50/154.78	(define @t84 () (forall @t42 @t83))
154.50/154.78	(define @t85 () (lambda @t3 @t84))
154.50/154.78	(define @t86 () (_ @t74 @t6))
154.50/154.78	(define @t87 () (lambda @t3 (forall @t42 (=> (and @t39 @t86) @t81))))
154.50/154.78	(define @t88 () (and @t75 @t86))
154.50/154.78	(define @t89 () (=> @t88 @t81))
154.50/154.78	(define @t90 () (forall @t42 @t89))
154.50/154.78	(define @t91 () (lambda @t3 @t90))
154.50/154.78	(define @t92 () (lambda @t3 (forall @t12 (=> (_ (_ (_ tptp.trsc @t1) @t7) @t6) (_ (_ @t80 @t7) @t6)))))
154.50/154.78	(define @t93 () (@var "BOUND_VARIABLE_8695" $$unsorted))
154.50/154.78	(define @t94 () (@var "BOUND_VARIABLE_8697" $$unsorted))
154.50/154.78	(define @t95 () (@var "BOUND_VARIABLE_8755" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
154.50/154.78	(define @t96 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
154.50/154.78	(define @t97 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
154.50/154.78	(define @t98 () (@var "BOUND_VARIABLE_7609" $$unsorted))
154.50/154.78	(define @t99 () (@var "BOUND_VARIABLE_7607" $$unsorted))
154.50/154.78	(define @t100 () (@var "BOUND_VARIABLE_8769" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
154.50/154.78	(define @t101 () (not (_ @t97 (_ @t96 @t100 @t99) @t98)))
154.50/154.78	(define @t102 () (@list @t99 @t98))
154.50/154.78	(define @t103 () (@var "BOUND_VARIABLE_8111" $$unsorted))
154.50/154.78	(define @t104 () (@var "BOUND_VARIABLE_7618" $$unsorted))
154.50/154.78	(define @t105 () (_ @t96 @t95 @t104))
154.50/154.78	(define @t106 () (@var "BOUND_VARIABLE_7620" $$unsorted))
154.50/154.78	(define @t107 () (@list @t104 @t106 @t103))
154.50/154.78	(define @t108 () (@var "BOUND_VARIABLE_8793" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
154.50/154.78	(define @t109 () (@var "BOUND_VARIABLE_8130" $$unsorted))
154.50/154.78	(define @t110 () (_ @t96 @t108 @t104))
154.50/154.78	(define @t111 () (@list @t104 @t106 @t109))
154.50/154.78	(define @t112 () (@var "BOUND_VARIABLE_8223" $$unsorted))
154.50/154.78	(define @t113 () (@var "BOUND_VARIABLE_8820" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
154.50/154.78	(define @t114 () (_ @t97 (_ @t96 @t113 @t99) @t98))
154.50/154.78	(define @t115 () (not (forall @t102 (or @t101 @t114))))
154.50/154.78	(define @t116 () (_ @t96 @t113 @t104))
154.50/154.78	(define @t117 () (_ @t96 @t113 @t106))
154.50/154.78	(define @t118 () (not (_ @t97 @t116 @t106)))
154.50/154.78	(define @t119 () (not (forall @t107 (or @t118 (not (_ @t97 @t117 @t103)) (_ @t97 @t116 @t103)))))
154.50/154.78	(define @t120 () (@list @t113))
154.50/154.78	(define @t121 () (not (forall @t111 (or @t118 (not (_ @t97 @t117 @t109)) (_ @t97 @t116 @t109)))))
154.50/154.78	(define @t122 () (@list @t112))
154.50/154.78	(define @t123 () (= @t93 @t94))
154.50/154.78	(define @t124 () (@var "BOUND_VARIABLE_8693" $$unsorted))
154.50/154.78	(define @t125 () (_ @t96 @t100 @t124))
154.50/154.78	(define @t126 () (@var "BOUND_VARIABLE_8877" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
154.50/154.78	(define @t127 () (_ @t97 (_ @t96 @t126 @t38) @t6))
154.50/154.78	(define @t128 () (_ @t97 (_ @t96 @t126 @t99) @t98))
154.50/154.78	(define @t129 () (_ @t96 @t126 @t104))
154.50/154.78	(define @t130 () (not (forall @t107 (or (not (_ @t97 @t129 @t106)) (not (_ @t97 (_ @t96 @t126 @t106) @t103)) (_ @t97 @t129 @t103)))))
154.50/154.78	(define @t131 () (@var "BOUND_VARIABLE_8904" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
154.50/154.78	(define @t132 () (_ @t97 (_ @t96 @t131 @t6) @t38))
154.50/154.78	(define @t133 () (_ @t97 (_ @t96 @t131 @t99) @t98))
154.50/154.78	(define @t134 () (_ @t96 @t131 @t104))
154.50/154.78	(define @t135 () (not (forall @t111 (or (not (_ @t97 @t134 @t106)) (not (_ @t97 (_ @t96 @t131 @t106) @t109)) (_ @t97 @t134 @t109)))))
154.50/154.78	(define @t136 () (_ @t97 (_ @t96 @t113 @t38) @t112))
154.50/154.78	(define @t137 () (_ @t97 (_ @t96 @t113 @t6) @t112))
154.50/154.78	(define @t138 () (= @t6 @t38))
154.50/154.78	(define @t139 () (_ @t96 @t113 @t7))
154.50/154.78	(define @t140 () (_ @t97 @t139 @t6))
154.50/154.78	(define @t141 () (@var "BOUND_VARIABLE_8444" $$unsorted))
154.50/154.78	(define @t142 () (@list @t104 @t106 @t141))
154.50/154.78	(define @t143 () (not (forall @t142 (or @t118 (not (_ @t97 @t117 @t141)) (_ @t97 @t116 @t141)))))
154.50/154.78	(define @t144 () (not @t32))
154.50/154.78	(define @t145 () (_ @t97 @t139 @t38))
154.50/154.78	(define @t146 () (= @t7 @t38))
154.50/154.78	(define @t147 () (not @t146))
154.50/154.78	(define @t148 () (@list @t7 @t6 @t38 @t131 @t126))
154.50/154.78	(define @t149 () (forall (@list @t100 @t124 @t93 @t94 @t108 @t95) (or (not (forall @t148 (or (and @t147 (not (forall @t120 (or @t119 @t115 @t145)))) (and @t144 (not (forall @t120 (or @t143 @t115 @t140)))) @t138 (not (forall @t122 (or (not (forall @t120 (or @t121 @t115 @t137))) (not (forall @t120 (or @t119 @t115 @t136)))))) @t135 (not (forall @t102 (or @t101 @t133))) @t132 @t130 (not (forall @t102 (or @t101 @t128))) @t127))) (not (_ @t97 @t125 @t94)) (not (_ @t97 @t125 @t93)) @t123 (not (forall @t122 (or (not (forall @t120 (or @t121 @t115 (_ @t97 (_ @t96 @t113 @t93) @t112)))) (not (forall @t120 (or @t119 @t115 (_ @t97 (_ @t96 @t113 @t94) @t112))))))) (not (forall @t111 (or (not (_ @t97 @t110 @t106)) (not (_ @t97 (_ @t96 @t108 @t106) @t109)) (_ @t97 @t110 @t109)))) (not (forall @t102 (or @t101 (_ @t97 (_ @t96 @t108 @t99) @t98)))) (_ @t97 (_ @t96 @t108 @t93) @t94) (not (forall @t107 (or (not (_ @t97 @t105 @t106)) (not (_ @t97 (_ @t96 @t95 @t106) @t103)) (_ @t97 @t105 @t103)))) (not (forall @t102 (or @t101 (_ @t97 (_ @t96 @t95 @t99) @t98)))) (_ @t97 (_ @t96 @t95 @t94) @t93))))
154.50/154.78	(define @t150 () (@var "BOUND_VARIABLE_8701" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t151 () (_ @t150 @t94 @t93))
154.50/154.78	(define @t152 () (not (_ @t1 @t99 @t98)))
154.50/154.78	(define @t153 () (not (forall @t102 (or @t152 (_ @t150 @t99 @t98)))))
154.50/154.78	(define @t154 () (not (forall @t107 (or (not (_ @t150 @t104 @t106)) (not (_ @t150 @t106 @t103)) (_ @t150 @t104 @t103)))))
154.50/154.78	(define @t155 () (@var "BOUND_VARIABLE_8699" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t156 () (_ @t155 @t93 @t94))
154.50/154.78	(define @t157 () (not (forall @t102 (or @t152 (_ @t155 @t99 @t98)))))
154.50/154.78	(define @t158 () (not (forall @t111 (or (not (_ @t155 @t104 @t106)) (not (_ @t155 @t106 @t109)) (_ @t155 @t104 @t109)))))
154.50/154.78	(define @t159 () (not (forall @t102 (or @t152 (_ @t8 @t99 @t98)))))
154.50/154.78	(define @t160 () (not (_ @t8 @t104 @t106)))
154.50/154.78	(define @t161 () (not (forall @t107 (or @t160 (not (_ @t8 @t106 @t103)) (_ @t8 @t104 @t103)))))
154.50/154.78	(define @t162 () (not (forall @t111 (or @t160 (not (_ @t8 @t106 @t109)) (_ @t8 @t104 @t109)))))
154.50/154.78	(define @t163 () (not (forall @t122 (or (not (forall @t47 (or @t162 @t159 (_ @t8 @t93 @t112)))) (not (forall @t47 (or @t161 @t159 (_ @t8 @t94 @t112))))))))
154.50/154.78	(define @t164 () (not (_ @t1 @t124 @t93)))
154.50/154.78	(define @t165 () (not (_ @t1 @t124 @t94)))
154.50/154.78	(define @t166 () (@var "BOUND_VARIABLE_8475" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t167 () (_ @t166 @t38 @t6))
154.50/154.78	(define @t168 () (not (forall @t102 (or @t152 (_ @t166 @t99 @t98)))))
154.50/154.78	(define @t169 () (not (forall @t107 (or (not (_ @t166 @t104 @t106)) (not (_ @t166 @t106 @t103)) (_ @t166 @t104 @t103)))))
154.50/154.78	(define @t170 () (@var "BOUND_VARIABLE_8459" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t171 () (_ @t170 @t6 @t38))
154.50/154.78	(define @t172 () (not (forall @t102 (or @t152 (_ @t170 @t99 @t98)))))
154.50/154.78	(define @t173 () (not (forall @t111 (or (not (_ @t170 @t104 @t106)) (not (_ @t170 @t106 @t109)) (_ @t170 @t104 @t109)))))
154.50/154.78	(define @t174 () (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t112)))))
154.50/154.78	(define @t175 () (forall @t122 (or @t174 (not (forall @t47 (or @t161 @t159 (_ @t8 @t38 @t112)))))))
154.50/154.78	(define @t176 () (not @t175))
154.50/154.78	(define @t177 () (_ @t8 @t7 @t6))
154.50/154.78	(define @t178 () (and @t144 (not (forall @t47 (or (not (forall @t142 (or @t160 (not (_ @t8 @t106 @t141)) (_ @t8 @t104 @t141)))) @t159 @t177)))))
154.50/154.78	(define @t179 () (_ @t8 @t7 @t38))
154.50/154.78	(define @t180 () (forall @t47 (or @t161 @t159 @t179)))
154.50/154.78	(define @t181 () (not @t180))
154.50/154.78	(define @t182 () (and @t147 @t181))
154.50/154.78	(define @t183 () (or @t182 @t178 @t138 @t176 @t173 @t172 @t171 @t169 @t168 @t167))
154.50/154.78	(define @t184 () (@list @t7 @t6 @t38 @t170 @t166))
154.50/154.78	(define @t185 () (forall @t184 @t183))
154.50/154.78	(define @t186 () (not @t185))
154.50/154.78	(define @t187 () (or @t186 @t165 @t164 @t123 @t163 @t158 @t157 @t156 @t154 @t153 @t151))
154.50/154.78	(define @t188 () (@list @t1 @t124 @t93 @t94 @t155 @t150))
154.50/154.78	(define @t189 () (or @t165 @t164 @t123 @t163 @t158 @t157 @t156 @t154 @t153 @t151))
154.50/154.78	(define @t190 () (or @t186 @t189))
154.50/154.78	(define @t191 () (forall @t188 @t190))
154.50/154.78	(define @t192 () (@list @t124 @t93 @t94 @t155 @t150))
154.50/154.78	(define @t193 () (forall @t192 @t190))
154.50/154.78	(define @t194 () (forall @t192 @t189))
154.50/154.78	(define @t195 () (@var "BOUND_VARIABLE_8320" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t196 () (@var "BOUND_VARIABLE_8304" (-> $$unsorted $$unsorted Bool)))
154.50/154.78	(define @t197 () (or @t186 @t194))
154.50/154.78	(define @t198 () (_ @t195 @t38 @t6))
154.50/154.78	(define @t199 () (not (forall @t102 (or @t152 (_ @t195 @t99 @t98)))))
154.50/154.78	(define @t200 () (not (forall @t107 (or (not (_ @t195 @t104 @t106)) (not (_ @t195 @t106 @t103)) (_ @t195 @t104 @t103)))))
154.50/154.78	(define @t201 () (_ @t196 @t6 @t38))
154.50/154.78	(define @t202 () (not (forall @t102 (or @t152 (_ @t196 @t99 @t98)))))
154.50/154.78	(define @t203 () (not (forall @t111 (or (not (_ @t196 @t104 @t106)) (not (_ @t196 @t106 @t109)) (_ @t196 @t104 @t109)))))
154.50/154.78	(define @t204 () (_ @t1 @t7 @t6))
154.50/154.78	(define @t205 () (not @t204))
154.50/154.78	(define @t206 () (_ @t1 @t7 @t38))
154.50/154.78	(define @t207 () (not @t206))
154.50/154.78	(define @t208 () (or @t207 @t205 @t138 @t176 @t203 @t202 @t201 @t200 @t199 @t198))
154.50/154.78	(define @t209 () (@list @t7 @t6 @t38 @t196 @t195))
154.50/154.78	(define @t210 () (forall @t209 @t208))
154.50/154.78	(define @t211 () (_ (lambda @t3 @t210) @t1))
154.50/154.78	(define @t212 () (_ (lambda @t3 @t185) @t1))
154.50/154.78	(define @t213 () (=> @t212 @t211))
154.50/154.78	(define @t214 () (forall @t3 @t213))
154.50/154.78	(define @t215 () (or @t200 @t199 @t198))
154.50/154.78	(define @t216 () (or @t203 @t202 @t201))
154.50/154.78	(define @t217 () (or @t207 @t205 @t138 @t216 @t215 @t176))
154.50/154.78	(define @t218 () (forall @t209 @t217))
154.50/154.78	(define @t219 () (forall (@list @t196 @t195) @t217))
154.50/154.78	(define @t220 () (forall (@list @t195) @t215))
154.50/154.78	(define @t221 () (@list @t8))
154.50/154.78	(define @t222 () (forall (@list @t196) @t216))
154.50/154.78	(define @t223 () (or @t207 @t205 @t138 @t222 @t220 @t176))
154.50/154.78	(define @t224 () (forall @t47 (or @t161 @t159 (_ @t8 @t38 @t6))))
154.50/154.78	(define @t225 () (_ @t8 @t6 @t38))
154.50/154.78	(define @t226 () (forall @t47 (or @t162 @t159 @t225)))
154.50/154.78	(define @t227 () (not @t39))
154.50/154.78	(define @t228 () (or @t227 @t61 @t138 @t226 @t224 @t176))
154.50/154.78	(define @t229 () (or @t138 @t226 @t224 @t176))
154.50/154.78	(define @t230 () (not @t224))
154.50/154.78	(define @t231 () (not @t230))
154.50/154.78	(define @t232 () (not @t226))
154.50/154.78	(define @t233 () (not @t232))
154.50/154.78	(define @t234 () (not @t138))
154.50/154.78	(define @t235 () (not @t234))
154.50/154.78	(define @t236 () (or @t235 @t233 @t231 @t176))
154.50/154.78	(define @t237 () (not (and @t234 @t232 @t230 @t175)))
154.50/154.78	(define @t238 () (not (= @t38 @t6)))
154.50/154.78	(define @t239 () (and @t238 @t232 @t230 @t175))
154.50/154.78	(define @t240 () (not @t239))
154.50/154.78	(define @t241 () (lambda @t63 @t240))
154.50/154.78	(define @t242 () (forall @t122 (or @t174 (not (forall @t47 (or @t161 @t159 (_ @t8 @t7 @t112)))))))
154.50/154.78	(define @t243 () (not (forall @t47 (or @t161 @t159 @t177))))
154.50/154.78	(define @t244 () (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t7)))))
154.50/154.78	(define @t245 () (and @t144 @t244 @t243 @t242))
154.50/154.78	(define @t246 () (not @t245))
154.50/154.78	(define @t247 () (lambda @t12 @t246))
154.50/154.78	(define @t248 () (_ (lambda @t18 @t246) @t1))
154.50/154.78	(define @t249 () (_ (_ @t248 @t38) @t6))
154.50/154.78	(define @t250 () (=> @t82 @t249))
154.50/154.78	(define @t251 () (and @t144 @t244))
154.50/154.78	(define @t252 () (not (= @t6 @t6)))
154.50/154.78	(define @t253 () (or @t252 @t243))
154.50/154.78	(define @t254 () (@var "BOUND_VARIABLE_8212" $$unsorted))
154.50/154.78	(define @t255 () (not (forall @t47 (or @t161 @t159 (_ @t8 @t7 @t254)))))
154.50/154.78	(define @t256 () (not (= @t6 @t254)))
154.50/154.78	(define @t257 () (@list @t254))
154.50/154.78	(define @t258 () (or @t256 @t256 @t255))
154.50/154.78	(define @t259 () (or @t256 @t255))
154.50/154.78	(define @t260 () (forall @t257 @t259))
154.50/154.78	(define @t261 () (@var "BOUND_VARIABLE_8181" $$unsorted))
154.50/154.78	(define @t262 () (not (forall @t47 (or @t161 @t159 (_ @t8 @t7 @t261)))))
154.50/154.78	(define @t263 () (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t261)))))
154.50/154.78	(define @t264 () (or @t263 @t262))
154.50/154.78	(define @t265 () (@list @t261))
154.50/154.78	(define @t266 () (forall @t265 @t264))
154.50/154.78	(define @t267 () (@list @t261))
154.50/154.78	(define @t268 () (not (= @t6 @t261)))
154.50/154.78	(define @t269 () (or @t268 @t262))
154.50/154.78	(define @t270 () (forall @t265 @t269))
154.50/154.78	(define @t271 () (and @t270 @t266))
154.50/154.78	(define @t272 () (and @t268 @t263))
154.50/154.78	(define @t273 () (or @t272 @t262))
154.50/154.78	(define @t274 () (or @t262 @t272))
154.50/154.78	(define @t275 () (forall @t265 @t274))
154.50/154.78	(define @t276 () (not (= @t6 @t7)))
154.50/154.78	(define @t277 () (and @t276 @t244))
154.50/154.78	(define @t278 () (not (= @t7 @t7)))
154.50/154.78	(define @t279 () (or @t278 @t277))
154.50/154.78	(define @t280 () (@var "BOUND_VARIABLE_8167" $$unsorted))
154.50/154.78	(define @t281 () (and (not (= @t6 @t280)) (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t280))))))
154.50/154.78	(define @t282 () (not (= @t7 @t280)))
154.50/154.78	(define @t283 () (@list @t280))
154.50/154.78	(define @t284 () (or @t282 @t282 @t281))
154.50/154.78	(define @t285 () (or @t282 @t281))
154.50/154.78	(define @t286 () (forall @t283 @t285))
154.50/154.78	(define @t287 () (and @t234 @t232))
154.50/154.78	(define @t288 () (or @t181 @t287))
154.50/154.78	(define @t289 () (forall @t77 @t288))
154.50/154.78	(define @t290 () (@list @t38))
154.50/154.78	(define @t291 () (or @t147 @t287))
154.50/154.78	(define @t292 () (forall @t77 @t291))
154.50/154.78	(define @t293 () (and @t292 @t289))
154.50/154.78	(define @t294 () (or @t138 @t226))
154.50/154.78	(define @t295 () (or @t146 @t180))
154.50/154.78	(define @t296 () (not @t295))
154.50/154.78	(define @t297 () (and @t295 @t294))
154.50/154.78	(define @t298 () (forall @t77 (not @t297)))
154.50/154.78	(define @t299 () (not @t298))
154.50/154.78	(define @t300 () (_ @t8 @t6 @t50))
154.50/154.78	(define @t301 () (= @t6 @t50))
154.50/154.78	(define @t302 () (@list @t50))
154.50/154.78	(define @t303 () (forall (@list @t104 @t106 @t38) (or @t160 (not (_ @t8 @t106 @t38)) (_ @t8 @t104 @t38))))
154.50/154.78	(define @t304 () (not @t303))
154.50/154.78	(define @t305 () (or @t304 @t159 @t300))
154.50/154.78	(define @t306 () (forall @t47 @t305))
154.50/154.78	(define @t307 () (or @t301 @t306))
154.50/154.78	(define @t308 () (lambda @t302 @t307))
154.50/154.78	(define @t309 () (forall @t47 (or @t304 @t159 (_ @t8 @t51 @t50))))
154.50/154.78	(define @t310 () (or (= @t51 @t50) @t309))
154.50/154.78	(define @t311 () (lambda (@list @t51 @t50) @t310))
154.50/154.78	(define @t312 () (_ (lambda @t54 @t310) @t1))
154.50/154.78	(define @t313 () (_ @t8 @t7 @t50))
154.50/154.78	(define @t314 () (= @t7 @t50))
154.50/154.78	(define @t315 () (or @t304 @t159 @t313))
154.50/154.78	(define @t316 () (forall @t47 @t315))
154.50/154.78	(define @t317 () (or @t314 @t316))
154.50/154.78	(define @t318 () (lambda @t302 @t317))
154.50/154.78	(define @t319 () (_ @t312 @t7))
154.50/154.78	(define @t320 () (_ @t319 @t38))
154.50/154.78	(define @t321 () (and @t320 (_ (_ @t312 @t6) @t38)))
154.50/154.78	(define @t322 () (or (= @t50 @t51) @t309))
154.50/154.78	(define @t323 () (forall @t47 (or @t304 @t159 (_ @t8 @t51 @t6))))
154.50/154.78	(define @t324 () (or (= @t51 @t6) @t323))
154.50/154.78	(define @t325 () (lambda @t63 @t324))
154.50/154.78	(define @t326 () (or @t304 @t159 @t177))
154.50/154.78	(define @t327 () (forall @t47 @t326))
154.50/154.78	(define @t328 () (or @t32 @t327))
154.50/154.78	(define @t329 () (lambda @t63 @t327))
154.50/154.78	(define @t330 () (lambda @t12 @t327))
154.50/154.78	(define @t331 () (_ @t330 @t7))
154.50/154.78	(define @t332 () (or @t32 (_ @t331 @t6)))
154.50/154.78	(define @t333 () (lambda @t12 @t332))
154.50/154.78	(define @t334 () (lambda @t18 @t327))
154.50/154.78	(define @t335 () (forall @t12 (or @t205 @t177)))
154.50/154.78	(define @t336 () (not @t335))
154.50/154.78	(define @t337 () (forall @t42 (or (not @t177) (not @t225) @t179)))
154.50/154.78	(define @t338 () (not @t337))
154.50/154.78	(define @t339 () (or @t338 @t336 @t9))
154.50/154.78	(define @t340 () (and @t337 @t335))
154.50/154.78	(define @t341 () (lambda @t47 @t335))
154.50/154.78	(define @t342 () (_ (lambda @t14 @t335) @t1))
154.50/154.78	(define @t343 () (_ @t1 @t6 @t38))
154.50/154.78	(define @t344 () (_ (lambda @t3 (forall @t42 (or @t205 (not @t343) @t206))) @t8))
154.50/154.78	(define @t345 () (and @t344 (_ @t342 @t8)))
154.50/154.78	(define @t346 () (=> @t345 @t9))
154.50/154.78	(define @t347 () (or @t61 @t9))
154.50/154.78	(define @t348 () (not @t40))
154.50/154.78	(define @t349 () (or @t61 @t348 @t39))
154.50/154.78	(define @t350 () (or @t169 @t168 @t167))
154.50/154.78	(define @t351 () (or @t173 @t172 @t171))
154.50/154.78	(define @t352 () (or @t182 @t178 @t138 @t351 @t350 @t176))
154.50/154.78	(define @t353 () (forall @t184 @t352))
154.50/154.78	(define @t354 () (forall (@list @t170 @t166) @t352))
154.50/154.78	(define @t355 () (forall (@list @t166) @t350))
154.50/154.78	(define @t356 () (forall (@list @t170) @t351))
154.50/154.78	(define @t357 () (or @t182 @t178 @t138 @t356 @t355 @t176))
154.50/154.78	(define @t358 () (not @t327))
154.50/154.78	(define @t359 () (and @t144 @t358))
154.50/154.78	(define @t360 () (or @t182 @t359 @t138 @t226 @t224 @t176))
154.50/154.78	(define @t361 () (and @t295 @t328))
154.50/154.78	(define @t362 () (and @t320 (_ @t319 @t6)))
154.50/154.78	(define @t363 () (=> @t362 @t249))
154.50/154.78	(define @t364 () (@quantifiers_skolemize @t149 0))
154.50/154.78	(define @t365 () (not (_ @t97 (_ @t96 @t364 @t99) @t98)))
154.50/154.78	(define @t366 () (not (forall @t102 (or @t365 @t114))))
154.50/154.78	(define @t367 () (forall @t148 (or (and @t147 (not (forall @t120 (or @t119 @t366 @t145)))) (and @t144 (not (forall @t120 (or @t143 @t366 @t140)))) @t138 (not (forall @t122 (or (not (forall @t120 (or @t121 @t366 @t137))) (not (forall @t120 (or @t119 @t366 @t136)))))) @t135 (not (forall @t102 (or @t365 @t133))) @t132 @t130 (not (forall @t102 (or @t365 @t128))) @t127)))
154.50/154.78	(define @t368 () (@quantifiers_skolemize @t149 2))
154.50/154.78	(define @t369 () (@quantifiers_skolemize @t149 3))
154.50/154.78	(define @t370 () (@quantifiers_skolemize @t149 5))
154.50/154.78	(define @t371 () (_ @t97 (_ @t96 @t370 @t369) @t368))
154.50/154.78	(define @t372 () (forall @t102 (or @t365 (_ @t97 (_ @t96 @t370 @t99) @t98))))
154.50/154.78	(define @t373 () (not @t372))
154.50/154.78	(define @t374 () (_ @t96 @t370 @t104))
154.50/154.78	(define @t375 () (forall @t107 (or (not (_ @t97 @t374 @t106)) (not (_ @t97 (_ @t96 @t370 @t106) @t103)) (_ @t97 @t374 @t103))))
154.50/154.78	(define @t376 () (not @t375))
154.50/154.78	(define @t377 () (@quantifiers_skolemize @t149 4))
154.50/154.78	(define @t378 () (_ @t97 (_ @t96 @t377 @t368) @t369))
154.50/154.78	(define @t379 () (forall @t102 (or @t365 (_ @t97 (_ @t96 @t377 @t99) @t98))))
154.50/154.78	(define @t380 () (not @t379))
154.50/154.78	(define @t381 () (_ @t96 @t377 @t104))
154.50/154.78	(define @t382 () (forall @t111 (or (not (_ @t97 @t381 @t106)) (not (_ @t97 (_ @t96 @t377 @t106) @t109)) (_ @t97 @t381 @t109))))
154.50/154.78	(define @t383 () (not @t382))
154.50/154.78	(define @t384 () (forall @t122 (or (not (forall @t120 (or @t121 @t366 (_ @t97 (_ @t96 @t113 @t368) @t112)))) (not (forall @t120 (or @t119 @t366 (_ @t97 (_ @t96 @t113 @t369) @t112)))))))
154.50/154.78	(define @t385 () (not @t384))
154.50/154.78	(define @t386 () (= @t368 @t369))
154.50/154.78	(define @t387 () (@quantifiers_skolemize @t149 1))
154.50/154.78	(define @t388 () (_ @t96 @t364 @t387))
154.50/154.78	(define @t389 () (_ @t97 @t388 @t368))
154.50/154.78	(define @t390 () (not @t389))
154.50/154.78	(define @t391 () (_ @t97 @t388 @t369))
154.50/154.78	(define @t392 () (not @t391))
154.50/154.78	(define @t393 () (not @t367))
154.50/154.78	(define @t394 () (or @t393 @t392 @t390 @t386 @t385 @t383 @t380 @t378 @t376 @t373 @t371))
154.50/154.78	(define @t395 () (@list true))
154.50/154.78	(define @t396 () (@list @t394))
154.50/154.78	(define @t397 () (_ @t96 @t113 @t387))
154.50/154.78	(define @t398 () (forall @t120 (or @t143 @t366 (_ @t97 @t397 @t368))))
154.50/154.78	(define @t399 () (@quantifiers_skolemize @t398 0))
154.50/154.78	(define @t400 () (forall @t102 (or @t365 (_ @t97 (_ @t96 @t399 @t99) @t98))))
154.50/154.78	(define @t401 () (_ @t97 (_ @t96 @t399 @t387) @t368))
154.50/154.78	(define @t402 () (not @t400))
154.50/154.78	(define @t403 () (_ @t96 @t399 @t104))
154.50/154.78	(define @t404 () (or (not (forall @t142 (or (not (_ @t97 @t403 @t106)) (not (_ @t97 (_ @t96 @t399 @t106) @t141)) (_ @t97 @t403 @t141)))) @t402 @t401))
154.50/154.78	(define @t405 () (or @t390 @t401))
154.50/154.78	(define @t406 () (@list true false true false))
154.50/154.78	(define @t407 () (not @t404))
154.50/154.78	(define @t408 () (not @t398))
154.50/154.78	(define @t409 () (@list false))
154.50/154.78	(define @t410 () (and (not (= @t387 @t368)) @t408))
154.50/154.78	(define @t411 () (forall @t120 (or @t119 @t366 (_ @t97 @t397 @t369))))
154.50/154.78	(define @t412 () (@quantifiers_skolemize @t411 0))
154.50/154.78	(define @t413 () (forall @t102 (or @t365 (_ @t97 (_ @t96 @t412 @t99) @t98))))
154.50/154.78	(define @t414 () (_ @t97 (_ @t96 @t412 @t387) @t369))
154.50/154.78	(define @t415 () (not @t413))
154.50/154.78	(define @t416 () (_ @t96 @t412 @t104))
154.50/154.78	(define @t417 () (or (not (forall @t107 (or (not (_ @t97 @t416 @t106)) (not (_ @t97 (_ @t96 @t412 @t106) @t103)) (_ @t97 @t416 @t103)))) @t415 @t414))
154.50/154.78	(define @t418 () (or @t392 @t414))
154.50/154.78	(define @t419 () (not @t417))
154.50/154.78	(define @t420 () (not @t411))
154.50/154.78	(define @t421 () (and (not (= @t387 @t369)) @t420))
154.50/154.78	(define @t422 () (or @t421 @t410 @t386 @t385 @t383 @t380 @t378 @t376 @t373 @t371))
154.50/154.78	(assume @p1 @t5)
154.50/154.78	(assume @p2 true)
154.50/154.78	(step @p3 (= tptp.subrel @t15) :rule refl :args (@t15))
154.50/154.78	(step @p4 (= tptp.inv @t19) :rule refl :args (@t19))
154.50/154.78	(step @p5 (= tptp.idem @t23) :rule refl :args (@t23))
154.50/154.78	(step @p6 (= tptp.infl @t25) :rule refl :args (@t25))
154.50/154.78	(step @p7 (= tptp.mono @t27) :rule refl :args (@t27))
154.50/154.78	(step @p8 (= tptp.refl @t30) :rule refl :args (@t30))
154.50/154.78	(step @p9 (= tptp.irrefl @t31) :rule refl :args (@t31))
154.50/154.78	(step @p10 (= tptp.rc @t33) :rule refl :args (@t33))
154.50/154.78	(step @p11 (= tptp.symm @t34) :rule refl :args (@t34))
154.50/154.78	(step @p12 (= tptp.antisymm @t35) :rule refl :args (@t35))
154.50/154.78	(step @p13 (= tptp.asymm @t36) :rule refl :args (@t36))
154.50/154.78	(step @p14 (= tptp.sc @t37) :rule refl :args (@t37))
154.50/154.78	(step @p15 (= tptp.trans @t44) :rule refl :args (@t44))
154.50/154.78	(step @p16 (= tptp.tc @t49) :rule refl :args (@t49))
154.50/154.78	(step @p17 (= tptp.trc @t55) :rule refl :args (@t55))
154.50/154.78	(step @p18 (= tptp.trsc @t56) :rule refl :args (@t56))
154.50/154.78	(step @p19 (= tptp.po @t58) :rule refl :args (@t58))
154.50/154.78	(step @p20 (= tptp.so @t59) :rule refl :args (@t59))
154.50/154.78	(step @p21 (= tptp.total @t60) :rule refl :args (@t60))
154.50/154.78	(step @p22 (= tptp.term @t65) :rule refl :args (@t65))
154.50/154.78	(step @p23 (= tptp.ind @t68) :rule refl :args (@t68))
154.50/154.78	(step @p24 (= tptp.innf @t69) :rule refl :args (@t69))
154.50/154.78	(step @p25 (= tptp.nfof @t72) :rule refl :args (@t72))
154.50/154.78	(step @p26 (= tptp.norm @t73) :rule refl :args (@t73))
154.50/154.78	(step @p27 (= tptp.join @t79) :rule refl :args (@t79))
154.50/154.78	(step @p28 (= tptp.lconfl @t85) :rule refl :args (@t85))
154.50/154.78	(step @p29 (= tptp.sconfl @t87) :rule refl :args (@t87))
154.50/154.78	(step @p30 (= tptp.confl @t91) :rule refl :args (@t91))
154.50/154.78	(step @p31 (= tptp.cr @t92) :rule refl :args (@t92))
154.50/154.78	; WARNING: add trust step for TRUST
154.50/154.78	; trust TRUST PREPROCESS_HO_ELIM
154.50/154.78	(step @p32 :rule trust :premises () :args ((= (not (forall @t188 @t187)) (not @t149))))
154.50/154.78	(step @p33 :rule aci_norm :args ((= @t190 @t187)))
154.50/154.78	(step @p34 :rule cong :premises (@p33) :args (@t191))
154.50/154.78	(step @p35 :rule quant-merge-prenex :args ((= (forall @t3 @t193) @t191)))
154.50/154.78	(step @p36 :rule alpha_equiv :args (@t194 (@list @t124 @t93 @t94 @t155 @t150) (@list @t7 @t6 @t38 @t196 @t195)))
154.50/154.78	(step @p37 :rule refl :args (@t186))
154.50/154.78	(step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t197))
154.50/154.78	(step @p39 :rule quant-miniscope-or :args ((= @t193 @t197)))
154.50/154.78	(step @p40 :rule trans :premises (@p39 @p38))
154.50/154.78	(step @p41 :rule symm :premises (@p40))
154.50/154.78	(step @p42 :rule cong :premises (@p41) :args ((forall @t3 (or @t186 @t210))))
154.50/154.78	(step @p43 :rule trans :premises (@p42 @p35))
154.50/154.78	(step @p44 :rule trans :premises (@p43 @p34))
154.50/154.78	(step @p45 :rule bool-impl-elim :args (@t185 @t210))
154.50/154.78	(step @p46 :rule cong :premises (@p45) :args ((forall @t3 (=> @t185 @t210))))
154.50/154.78	(step @p47 :rule trans :premises (@p46 @p44))
154.50/154.78	(step @p48 :rule beta-reduce :args ((= @t211 @t210)))
154.50/154.78	(step @p49 :rule beta-reduce :args ((= @t212 @t185)))
154.50/154.78	(step @p50 :rule cong :premises (@p49 @p48) :args (@t213))
154.50/154.78	(step @p51 :rule cong :premises (@p50) :args (@t214))
154.50/154.78	(step @p52 :rule trans :premises (@p51 @p47))
154.50/154.78	(step @p53 :rule cong :premises (@p52) :args ((not @t214)))
154.50/154.78	(step @p54 :rule refl :args (@t1))
154.50/154.78	(step @p55 :rule aci_norm :args ((= @t217 @t208)))
154.50/154.78	(step @p56 :rule cong :premises (@p55) :args (@t218))
154.50/154.78	(step @p57 :rule quant-merge-prenex :args ((= (forall @t42 @t219) @t218)))
154.50/154.78	(step @p58 :rule refl :args (@t176))
154.50/154.78	(step @p59 :rule alpha_equiv :args (@t220 (@list @t195) @t221))
154.50/154.78	(step @p60 :rule alpha_equiv :args (@t222 (@list @t196) @t221))
154.50/154.78	(step @p61 :rule refl :args (@t138))
154.50/154.78	(step @p62 :rule refl :args (@t205))
154.50/154.78	(step @p63 :rule refl :args (@t207))
154.50/154.78	(step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p59 @p58) :args (@t223))
154.50/154.78	(step @p65 :rule quant-miniscope-or :args ((= @t219 @t223)))
154.50/154.78	(step @p66 :rule trans :premises (@p65 @p64))
154.50/154.78	(step @p67 :rule symm :premises (@p66))
154.50/154.78	(step @p68 :rule cong :premises (@p67) :args ((forall @t42 (or @t207 @t205 @t138 @t226 @t224 @t176))))
154.50/154.78	(step @p69 :rule trans :premises (@p68 @p57))
154.50/154.78	(step @p70 :rule trans :premises (@p69 @p56))
154.50/154.78	(step @p71 :rule refl :args (@t224))
154.50/154.78	(step @p72 :rule refl :args (@t226))
154.50/154.78	(step @p73 :rule refl :args (@t204))
154.50/154.78	(step @p74 :rule refl :args (@t11))
154.50/154.78	(step @p75 :rule cong :premises (@p74 @p73) :args ((= @t11 @t204)))
154.50/154.78	(step @p76 :rule symm :premises (@p75))
154.50/154.78	(step @p77 :rule eq_resolve :premises (@p74 @p76))
154.50/154.78	(step @p78 :rule cong :premises (@p77) :args (@t61))
154.50/154.78	(step @p79 :rule refl :args (@t206))
154.50/154.78	(step @p80 :rule refl :args (@t39))
154.50/154.78	(step @p81 :rule cong :premises (@p80 @p79) :args ((= @t39 @t206)))
154.50/154.78	(step @p82 :rule symm :premises (@p81))
154.50/154.78	(step @p83 :rule eq_resolve :premises (@p80 @p82))
154.50/154.78	(step @p84 :rule cong :premises (@p83) :args (@t227))
154.50/154.78	(step @p85 :rule nary_cong :premises (@p84 @p78 @p61 @p72 @p71 @p58) :args (@t228))
154.50/154.78	(step @p86 :rule cong :premises (@p85) :args ((forall @t42 @t228)))
154.50/154.78	(step @p87 :rule trans :premises (@p86 @p70))
154.50/154.78	(step @p88 :rule aci_norm :args ((= (or (or @t227 @t61) @t229) @t228)))
154.50/154.78	(step @p89 :rule bool-double-not-elim :args (@t224))
154.50/154.78	(step @p90 :rule bool-double-not-elim :args (@t226))
154.50/154.78	(step @p91 :rule bool-double-not-elim :args (@t138))
154.50/154.78	(step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p58) :args (@t236))
154.50/154.78	(step @p93 :rule aci_norm :args ((= (or @t235 (or @t233 (or @t231 @t176))) @t236)))
154.50/154.78	(step @p94 :rule trans :premises (@p93 @p92))
154.50/154.78	(step @p95 :rule bool-and-de-morgan :args (@t230 @t175 true))
154.50/154.78	(step @p96 :rule refl :args (@t233))
154.50/154.78	(step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t233 (not (and @t230 @t175)))))
154.50/154.78	(step @p98 :rule bool-and-de-morgan :args (@t232 @t230 (and @t175)))
154.50/154.78	(step @p99 :rule trans :premises (@p98 @p97))
154.50/154.78	(step @p100 :rule refl :args (@t235))
154.50/154.78	(step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t235 (not (and @t232 @t230 @t175)))))
154.50/154.78	(step @p102 :rule bool-and-de-morgan :args (@t234 @t232 (and @t230 @t175)))
154.50/154.78	(step @p103 :rule trans :premises (@p102 @p101))
154.50/154.78	(step @p104 :rule trans :premises (@p103 @p94))
154.50/154.78	(step @p105 :rule bool-and-de-morgan :args (@t39 @t11 true))
154.50/154.78	(step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t82) @t237)))
154.50/154.78	(step @p107 :rule trans :premises (@p106 @p88))
154.50/154.78	(step @p108 :rule bool-impl-elim :args (@t82 @t237))
154.50/154.78	(step @p109 :rule trans :premises (@p108 @p107))
154.50/154.78	(step @p110 :rule cong :premises (@p109) :args ((forall @t42 (=> @t82 @t237))))
154.50/154.78	(step @p111 :rule trans :premises (@p110 @p87))
154.50/154.78	(step @p112 :rule beta-reduce :args ((= (_ (lambda @t63 @t237) @t6) @t237)))
154.50/154.78	(step @p113 :rule refl :args (@t6))
154.50/154.78	(step @p114 :rule refl :args (@t175))
154.50/154.78	(step @p115 :rule refl :args (@t230))
154.50/154.78	(step @p116 :rule refl :args (@t232))
154.50/154.78	(step @p117 :rule eq-symm :args (@t38 @t6))
154.50/154.78	(step @p118 :rule cong :premises (@p117) :args (@t238))
154.50/154.78	(step @p119 :rule nary_cong :premises (@p118 @p116 @p115 @p114) :args (@t239))
154.50/154.78	(step @p120 :rule cong :premises (@p119) :args (@t240))
154.50/154.78	(step @p121 :rule cong :premises (@p120) :args (@t241))
154.50/154.78	(step @p122 :rule beta-reduce :args ((= (_ @t247 @t38) @t241)))
154.50/154.78	(step @p123 :rule trans :premises (@p122 @p121))
154.50/154.78	(step @p124 :rule refl :args (@t38))
154.50/154.78	(step @p125 :rule beta-reduce :args ((= @t248 @t247)))
154.50/154.78	(step @p126 :rule ho_cong :premises (@p125 @p124))
154.50/154.78	(step @p127 :rule trans :premises (@p126 @p123))
154.50/154.78	(step @p128 :rule ho_cong :premises (@p127 @p113))
154.50/154.78	(step @p129 :rule trans :premises (@p128 @p112))
154.50/154.78	(step @p130 :rule refl :args (@t82))
154.50/154.78	(step @p131 :rule cong :premises (@p130 @p129) :args (@t250))
154.50/154.78	(step @p132 :rule cong :premises (@p131) :args ((forall @t42 @t250)))
154.50/154.78	(step @p133 :rule trans :premises (@p132 @p111))
154.50/154.78	(step @p134 :rule aci_norm :args ((= (and @t251 (and @t243 @t242)) @t245)))
154.50/154.78	(step @p135 :rule refl :args (@t242))
154.50/154.78	(step @p136 :rule aci_norm :args ((= (or false @t243) @t243)))
154.50/154.78	(step @p137 :rule refl :args (@t243))
154.50/154.78	(step @p138 :rule evaluate :args ((not true)))
154.50/154.78	(step @p139 :rule eq-refl :args (@t6))
154.50/154.78	(step @p140 :rule cong :premises (@p139) :args (@t252))
154.50/154.78	(step @p141 :rule trans :premises (@p140 @p138))
154.50/154.78	(step @p142 :rule nary_cong :premises (@p141 @p137) :args (@t253))
154.50/154.78	(step @p143 :rule trans :premises (@p142 @p136))
154.50/154.78	(step @p144 :rule quant-var-elim-eq :args ((= (forall @t257 (or (not (= @t254 @t6)) @t256 @t255)) @t253)))
154.50/154.78	(step @p145 :rule refl :args (@t255))
154.50/154.78	(step @p146 :rule refl :args (@t256))
154.50/154.78	(step @p147 :rule eq-symm :args (@t6 @t254))
154.50/154.78	(step @p148 :rule cong :premises (@p147) :args (@t256))
154.50/154.78	(step @p149 :rule nary_cong :premises (@p148 @p146 @p145) :args (@t258))
154.50/154.78	(step @p150 :rule aci_norm :args ((= @t259 @t258)))
154.50/154.78	(step @p151 :rule trans :premises (@p150 @p149))
154.50/154.78	(step @p152 :rule cong :premises (@p151) :args (@t260))
154.50/154.78	(step @p153 :rule trans :premises (@p152 @p144))
154.50/154.78	(step @p154 :rule trans :premises (@p153 @p143))
154.50/154.78	(step @p155 :rule nary_cong :premises (@p154 @p135) :args ((and @t260 @t242)))
154.50/154.78	(step @p156 :rule alpha_equiv :args (@t266 @t267 (@list @t112)))
154.50/154.78	(step @p157 :rule alpha_equiv :args (@t270 @t267 (@list @t254)))
154.50/154.78	(step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t271))
154.50/154.78	(step @p159 :rule quant-miniscope-and :args ((= (forall @t265 (and @t269 @t264)) @t271)))
154.50/154.78	(step @p160 :rule trans :premises (@p159 @p158))
154.50/154.78	(step @p161 :rule trans :premises (@p160 @p155))
154.50/154.78	(step @p162 :rule bool-or-and-distrib :args (@t268 @t263 true @t262 false))
154.50/154.78	(step @p163 :rule cong :premises (@p162) :args ((forall @t265 @t273)))
154.50/154.78	(step @p164 :rule trans :premises (@p163 @p161))
154.50/154.78	(step @p165 :rule aci_norm :args ((= @t274 @t273)))
154.50/154.78	(step @p166 :rule cong :premises (@p165) :args (@t275))
154.50/154.78	(step @p167 :rule trans :premises (@p166 @p164))
154.50/154.78	(step @p168 :rule aci_norm :args ((= (or false @t251) @t251)))
154.50/154.78	(step @p169 :rule refl :args (@t244))
154.50/154.78	(step @p170 :rule eq-symm :args (@t6 @t7))
154.50/154.78	(step @p171 :rule cong :premises (@p170) :args (@t276))
154.50/154.78	(step @p172 :rule nary_cong :premises (@p171 @p169) :args (@t277))
154.50/154.78	(step @p173 :rule eq-refl :args (@t7))
154.50/154.78	(step @p174 :rule cong :premises (@p173) :args (@t278))
154.50/154.78	(step @p175 :rule trans :premises (@p174 @p138))
154.50/154.78	(step @p176 :rule nary_cong :premises (@p175 @p172) :args (@t279))
154.50/154.78	(step @p177 :rule trans :premises (@p176 @p168))
154.50/154.78	(step @p178 :rule quant-var-elim-eq :args ((= (forall @t283 (or (not (= @t280 @t7)) @t282 @t281)) @t279)))
154.50/154.78	(step @p179 :rule refl :args (@t281))
154.50/154.78	(step @p180 :rule refl :args (@t282))
154.50/154.78	(step @p181 :rule eq-symm :args (@t7 @t280))
154.50/154.78	(step @p182 :rule cong :premises (@p181) :args (@t282))
154.50/154.78	(step @p183 :rule nary_cong :premises (@p182 @p180 @p179) :args (@t284))
154.50/154.78	(step @p184 :rule aci_norm :args ((= @t285 @t284)))
154.50/154.78	(step @p185 :rule trans :premises (@p184 @p183))
154.50/154.78	(step @p186 :rule cong :premises (@p185) :args (@t286))
154.50/154.78	(step @p187 :rule trans :premises (@p186 @p178))
154.50/154.78	(step @p188 :rule trans :premises (@p187 @p177))
154.50/154.78	(step @p189 :rule nary_cong :premises (@p188 @p167) :args ((and @t286 @t275)))
154.50/154.78	(step @p190 :rule trans :premises (@p189 @p134))
154.50/154.78	(step @p191 :rule alpha_equiv :args (@t289 @t290 @t267))
154.50/154.78	(step @p192 :rule alpha_equiv :args (@t292 @t290 (@list @t280)))
154.50/154.78	(step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t293))
154.50/154.78	(step @p194 :rule quant-miniscope-and :args ((= (forall @t77 (and @t291 @t288)) @t293)))
154.50/154.78	(step @p195 :rule trans :premises (@p194 @p193))
154.50/154.78	(step @p196 :rule trans :premises (@p195 @p190))
154.50/154.78	(step @p197 :rule bool-or-and-distrib :args (@t147 @t181 true @t287 false))
154.50/154.78	(step @p198 :rule cong :premises (@p197) :args ((forall @t77 (or @t182 @t287))))
154.50/154.78	(step @p199 :rule trans :premises (@p198 @p196))
154.50/154.78	(step @p200 :rule bool-or-de-morgan :args (@t138 @t226 false))
154.50/154.78	(step @p201 :rule bool-or-de-morgan :args (@t146 @t180 false))
154.50/154.78	(step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t296 (not @t294))))
154.50/154.78	(step @p203 :rule bool-and-de-morgan :args (@t295 @t294 true))
154.50/154.78	(step @p204 :rule trans :premises (@p203 @p202))
154.50/154.78	(step @p205 :rule cong :premises (@p204) :args (@t298))
154.50/154.78	(step @p206 :rule trans :premises (@p205 @p199))
154.50/154.78	(step @p207 :rule cong :premises (@p206) :args (@t299))
154.50/154.78	(step @p208 :rule exists-elim :args ((= (exists @t77 @t297) @t299)))
154.50/154.78	(step @p209 :rule trans :premises (@p208 @p207))
154.50/154.78	(step @p210 :rule beta-reduce :args ((= (_ (lambda @t302 (or @t301 (forall @t47 (or @t162 @t159 @t300)))) @t38) @t294)))
154.50/154.78	(step @p211 :rule refl :args (@t38))
154.50/154.78	(step @p212 :rule refl :args (@t300))
154.50/154.78	(step @p213 :rule refl :args (@t159))
154.50/154.78	(step @p214 :rule alpha_equiv :args (@t303 @t290 (@list @t109)))
154.50/154.78	(step @p215 :rule cong :premises (@p214) :args (@t304))
154.50/154.78	(step @p216 :rule nary_cong :premises (@p215 @p213 @p212) :args (@t305))
154.50/154.78	(step @p217 :rule cong :premises (@p216) :args (@t306))
154.50/154.78	(step @p218 :rule refl :args (@t301))
154.50/154.78	(step @p219 :rule nary_cong :premises (@p218 @p217) :args (@t307))
154.50/154.78	(step @p220 :rule cong :premises (@p219) :args (@t308))
154.50/154.78	(step @p221 :rule ho_cong :premises (@p220 @p211))
154.50/154.78	(step @p222 :rule trans :premises (@p221 @p210))
154.50/154.78	(step @p223 :rule beta-reduce :args ((= (_ @t311 @t6) @t308)))
154.50/154.78	(step @p224 :rule beta-reduce :args ((= @t312 @t311)))
154.50/154.78	(step @p225 :rule ho_cong :premises (@p224 @p113))
154.50/154.78	(step @p226 :rule trans :premises (@p225 @p223))
154.50/154.78	(step @p227 :rule ho_cong :premises (@p226 @p124))
154.50/154.78	(step @p228 :rule trans :premises (@p227 @p222))
154.50/154.78	(step @p229 :rule beta-reduce :args ((= (_ (lambda @t302 (or @t314 (forall @t47 (or @t161 @t159 @t313)))) @t38) @t295)))
154.50/154.78	(step @p230 :rule refl :args (@t313))
154.50/154.78	(step @p231 :rule alpha_equiv :args (@t303 @t290 (@list @t103)))
154.50/154.78	(step @p232 :rule cong :premises (@p231) :args (@t304))
154.50/154.78	(step @p233 :rule nary_cong :premises (@p232 @p213 @p230) :args (@t315))
154.50/154.78	(step @p234 :rule cong :premises (@p233) :args (@t316))
154.50/154.78	(step @p235 :rule refl :args (@t314))
154.50/154.78	(step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t317))
154.50/154.78	(step @p237 :rule cong :premises (@p236) :args (@t318))
154.50/154.78	(step @p238 :rule ho_cong :premises (@p237 @p211))
154.50/154.78	(step @p239 :rule trans :premises (@p238 @p229))
154.50/154.78	(step @p240 :rule beta-reduce :args ((= (_ @t311 @t7) @t318)))
154.50/154.78	(step @p241 :rule refl :args (@t7))
154.50/154.78	(step @p242 :rule ho_cong :premises (@p224 @p241))
154.50/154.78	(step @p243 :rule trans :premises (@p242 @p240))
154.50/154.78	(step @p244 :rule ho_cong :premises (@p243 @p124))
154.50/154.78	(step @p245 :rule trans :premises (@p244 @p239))
154.50/154.78	(step @p246 :rule nary_cong :premises (@p245 @p228) :args (@t321))
154.50/154.78	(step @p247 :rule cong :premises (@p246) :args ((exists @t77 @t321)))
154.50/154.78	(step @p248 :rule trans :premises (@p247 @p209))
154.50/154.78	(step @p249 :rule refl :args (@t309))
154.50/154.78	(step @p250 :rule eq-symm :args (@t50 @t51))
154.50/154.78	(step @p251 :rule nary_cong :premises (@p250 @p249) :args (@t322))
154.50/154.78	(step @p252 :rule beta-reduce :args ((= (_ (lambda @t63 (or (= @t6 @t51) @t323)) @t50) @t322)))
154.50/154.78	(step @p253 :rule trans :premises (@p252 @p251))
154.50/154.78	(step @p254 :rule refl :args (@t50))
154.50/154.78	(step @p255 :rule refl :args (@t323))
154.50/154.78	(step @p256 :rule eq-symm :args (@t51 @t6))
154.50/154.78	(step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t324))
154.50/154.78	(step @p258 :rule cong :premises (@p257) :args (@t325))
154.50/154.78	(step @p259 :rule beta-reduce :args ((= (_ (lambda @t12 @t328) @t51) @t325)))
154.50/154.78	(step @p260 :rule trans :premises (@p259 @p258))
154.50/154.78	(step @p261 :rule refl :args (@t51))
154.50/154.78	(step @p262 :rule beta-reduce :args ((= (_ @t329 @t6) @t327)))
154.50/154.78	(step @p263 :rule beta-reduce :args ((= @t331 @t329)))
154.50/154.78	(step @p264 :rule ho_cong :premises (@p263 @p113))
154.50/154.78	(step @p265 :rule trans :premises (@p264 @p262))
154.50/154.78	(step @p266 :rule refl :args (@t32))
154.50/154.78	(step @p267 :rule nary_cong :premises (@p266 @p265) :args (@t332))
154.50/154.78	(step @p268 :rule cong :premises (@p267) :args (@t333))
154.50/154.78	(step @p269 :rule beta-reduce :args ((= (_ @t33 @t330) @t333)))
154.50/154.78	(step @p270 :rule trans :premises (@p269 @p268))
154.50/154.78	(step @p271 :rule beta-reduce :args ((= (_ @t334 @t1) @t330)))
154.50/154.78	; WARNING: add trust step for TRUST_THEORY_REWRITE
154.50/154.78	; trust TRUST_THEORY_REWRITE
154.50/154.78	(step @p272 :rule trust :premises () :args ((= (lambda @t18 (forall @t47 (or @t338 @t336 @t177))) @t334)))
154.50/154.78	(step @p273 :rule ho_cong :premises (@p272 @p54))
154.50/154.78	(step @p274 :rule trans :premises (@p273 @p271))
154.50/154.78	(step @p275 :rule refl :args (@t33))
154.50/154.78	(step @p276 :rule ho_cong :premises (@p275 @p274))
154.50/154.78	(step @p277 :rule trans :premises (@p276 @p270))
154.50/154.78	(step @p278 :rule ho_cong :premises (@p277 @p261))
154.50/154.78	(step @p279 :rule trans :premises (@p278 @p260))
154.50/154.78	(step @p280 :rule ho_cong :premises (@p279 @p254))
154.50/154.78	(step @p281 :rule trans :premises (@p280 @p253))
154.50/154.78	(step @p282 :rule refl :args (@t177))
154.50/154.78	(step @p283 :rule refl :args (@t9))
154.50/154.78	(step @p284 :rule cong :premises (@p283 @p282) :args ((= @t9 @t177)))
154.50/154.78	(step @p285 :rule symm :premises (@p284))
154.50/154.78	(step @p286 :rule eq_resolve :premises (@p283 @p285))
154.50/154.78	(step @p287 :rule refl :args (@t336))
154.50/154.78	(step @p288 :rule refl :args (@t338))
154.50/154.78	(step @p289 :rule nary_cong :premises (@p288 @p287 @p286) :args (@t339))
154.50/154.78	(step @p290 :rule cong :premises (@p289) :args ((forall @t47 @t339)))
154.50/154.78	(step @p291 :rule aci_norm :args ((= (or (or @t338 @t336) @t9) @t339)))
154.50/154.78	(step @p292 :rule bool-and-de-morgan :args (@t337 @t335 true))
154.50/154.78	(step @p293 :rule nary_cong :premises (@p292 @p283) :args ((or (not @t340) @t9)))
154.50/154.78	(step @p294 :rule trans :premises (@p293 @p291))
154.50/154.78	(step @p295 :rule bool-impl-elim :args (@t340 @t9))
154.50/154.78	(step @p296 :rule trans :premises (@p295 @p294))
154.50/154.78	(step @p297 :rule cong :premises (@p296) :args ((forall @t47 (=> @t340 @t9))))
154.50/154.78	(step @p298 :rule trans :premises (@p297 @p290))
154.50/154.78	(step @p299 :rule refl :args (@t9))
154.50/154.78	(step @p300 :rule beta-reduce :args ((= (_ @t341 @t8) @t335)))
154.50/154.78	(step @p301 :rule refl :args (@t8))
154.50/154.78	(step @p302 :rule beta-reduce :args ((= @t342 @t341)))
154.50/154.78	(step @p303 :rule ho_cong :premises (@p302 @p301))
154.50/154.78	(step @p304 :rule trans :premises (@p303 @p300))
154.50/154.78	(step @p305 :rule beta-reduce :args ((= @t344 @t337)))
154.50/154.78	(step @p306 :rule nary_cong :premises (@p305 @p304) :args (@t345))
154.50/154.78	(step @p307 :rule cong :premises (@p306 @p299) :args (@t346))
154.50/154.78	(step @p308 :rule cong :premises (@p307) :args ((forall @t47 @t346)))
154.50/154.78	(step @p309 :rule trans :premises (@p308 @p298))
154.50/154.78	(step @p310 :rule nary_cong :premises (@p78 @p286) :args (@t347))
154.50/154.78	(step @p311 :rule cong :premises (@p310) :args ((forall @t12 @t347)))
154.50/154.78	(step @p312 :rule bool-impl-elim :args (@t11 @t9))
154.50/154.78	(step @p313 :rule cong :premises (@p312) :args (@t13))
154.50/154.78	(step @p314 :rule trans :premises (@p313 @p311))
154.50/154.78	(step @p315 :rule cong :premises (@p314) :args (@t15))
154.50/154.78	(step @p316 :rule trans :premises (@p3 @p315))
154.50/154.78	(step @p317 :rule ho_cong :premises (@p316 @p54))
154.50/154.78	(step @p318 :rule ho_cong :premises (@p317 @p301))
154.50/154.78	(step @p319 :rule refl :args (@t343))
154.50/154.78	(step @p320 :rule refl :args (@t40))
154.50/154.78	(step @p321 :rule cong :premises (@p320 @p319) :args ((= @t40 @t343)))
154.50/154.78	(step @p322 :rule symm :premises (@p321))
154.50/154.78	(step @p323 :rule eq_resolve :premises (@p320 @p322))
154.50/154.78	(step @p324 :rule cong :premises (@p323) :args (@t348))
154.50/154.78	(step @p325 :rule nary_cong :premises (@p78 @p324 @p83) :args (@t349))
154.50/154.78	(step @p326 :rule cong :premises (@p325) :args ((forall @t42 @t349)))
154.50/154.78	(step @p327 :rule aci_norm :args ((= (or (or @t61 @t348) @t39) @t349)))
154.50/154.78	(step @p328 :rule bool-and-de-morgan :args (@t11 @t40 true))
154.50/154.78	(step @p329 :rule nary_cong :premises (@p328 @p80) :args ((or (not @t41) @t39)))
154.50/154.78	(step @p330 :rule trans :premises (@p329 @p327))
154.50/154.78	(step @p331 :rule bool-impl-elim :args (@t41 @t39))
154.50/154.78	(step @p332 :rule trans :premises (@p331 @p330))
154.50/154.78	(step @p333 :rule cong :premises (@p332) :args (@t43))
154.50/154.78	(step @p334 :rule trans :premises (@p333 @p326))
154.50/154.78	(step @p335 :rule cong :premises (@p334) :args (@t44))
154.50/154.78	(step @p336 :rule trans :premises (@p15 @p335))
154.50/154.78	(step @p337 :rule ho_cong :premises (@p336 @p301))
154.50/154.78	(step @p338 :rule nary_cong :premises (@p337 @p318) :args (@t45))
154.50/154.78	(step @p339 :rule cong :premises (@p338 @p299) :args (@t46))
154.50/154.78	(step @p340 :rule cong :premises (@p339) :args (@t48))
154.50/154.78	(step @p341 :rule trans :premises (@p340 @p309))
154.50/154.78	(step @p342 :rule cong :premises (@p341) :args (@t49))
154.50/154.78	(step @p343 :rule trans :premises (@p16 @p342))
154.50/154.78	(step @p344 :rule ho_cong :premises (@p343 @p54))
154.50/154.78	(step @p345 :rule ho_cong :premises (@p10 @p344))
154.50/154.78	(step @p346 :rule ho_cong :premises (@p345 @p261))
154.50/154.78	(step @p347 :rule ho_cong :premises (@p346 @p254))
154.50/154.78	(step @p348 :rule trans :premises (@p347 @p281))
154.50/154.78	(step @p349 :rule cong :premises (@p348) :args (@t55))
154.50/154.78	(step @p350 :rule trans :premises (@p17 @p349))
154.50/154.78	(step @p351 :rule ho_cong :premises (@p350 @p54))
154.50/154.78	(step @p352 :rule ho_cong :premises (@p351 @p113))
154.50/154.78	(step @p353 :rule ho_cong :premises (@p352 @p124))
154.50/154.78	(step @p354 :rule ho_cong :premises (@p351 @p241))
154.50/154.78	(step @p355 :rule ho_cong :premises (@p354 @p124))
154.50/154.78	(step @p356 :rule nary_cong :premises (@p355 @p353) :args (@t76))
154.50/154.78	(step @p357 :rule cong :premises (@p356) :args (@t78))
154.50/154.78	(step @p358 :rule trans :premises (@p357 @p248))
154.50/154.78	(step @p359 :rule cong :premises (@p358) :args (@t79))
154.50/154.78	(step @p360 :rule trans :premises (@p27 @p359))
154.50/154.78	(step @p361 :rule ho_cong :premises (@p360 @p54))
154.50/154.78	(step @p362 :rule ho_cong :premises (@p361 @p124))
154.50/154.78	(step @p363 :rule ho_cong :premises (@p362 @p113))
154.50/154.78	(step @p364 :rule cong :premises (@p130 @p363) :args (@t83))
154.50/154.78	(step @p365 :rule cong :premises (@p364) :args (@t84))
154.50/154.78	(step @p366 :rule trans :premises (@p365 @p133))
154.50/154.78	(step @p367 :rule cong :premises (@p366) :args (@t85))
154.50/154.78	(step @p368 :rule trans :premises (@p28 @p367))
154.50/154.78	(step @p369 :rule ho_cong :premises (@p368 @p54))
154.50/154.78	(step @p370 :rule aci_norm :args ((= @t352 @t183)))
154.50/154.78	(step @p371 :rule cong :premises (@p370) :args (@t353))
154.50/154.78	(step @p372 :rule quant-merge-prenex :args ((= (forall @t42 @t354) @t353)))
154.50/154.78	(step @p373 :rule alpha_equiv :args (@t355 (@list @t166) @t221))
154.50/154.78	(step @p374 :rule alpha_equiv :args (@t356 (@list @t170) @t221))
154.50/154.78	(step @p375 :rule refl :args (@t178))
154.50/154.78	(step @p376 :rule refl :args (@t182))
154.50/154.78	(step @p377 :rule nary_cong :premises (@p376 @p375 @p61 @p374 @p373 @p58) :args (@t357))
154.50/154.78	(step @p378 :rule quant-miniscope-or :args ((= @t354 @t357)))
154.50/154.78	(step @p379 :rule trans :premises (@p378 @p377))
154.50/154.78	(step @p380 :rule symm :premises (@p379))
154.50/154.78	(step @p381 :rule cong :premises (@p380) :args ((forall @t42 (or @t182 @t178 @t138 @t226 @t224 @t176))))
154.50/154.78	(step @p382 :rule trans :premises (@p381 @p372))
154.50/154.78	(step @p383 :rule trans :premises (@p382 @p371))
154.50/154.78	(step @p384 :rule refl :args (@t177))
154.50/154.78	(step @p385 :rule alpha_equiv :args (@t303 @t290 (@list @t141)))
154.50/154.78	(step @p386 :rule cong :premises (@p385) :args (@t304))
154.50/154.78	(step @p387 :rule nary_cong :premises (@p386 @p213 @p384) :args (@t326))
154.50/154.78	(step @p388 :rule cong :premises (@p387) :args (@t327))
154.50/154.78	(step @p389 :rule cong :premises (@p388) :args (@t358))
154.50/154.78	(step @p390 :rule refl :args (@t144))
154.50/154.78	(step @p391 :rule nary_cong :premises (@p390 @p389) :args (@t359))
154.50/154.78	(step @p392 :rule nary_cong :premises (@p376 @p391 @p61 @p72 @p71 @p58) :args (@t360))
154.50/154.78	(step @p393 :rule cong :premises (@p392) :args ((forall @t42 @t360)))
154.50/154.78	(step @p394 :rule trans :premises (@p393 @p383))
154.50/154.78	(step @p395 :rule aci_norm :args ((= (or (or @t182 @t359) @t229) @t360)))
154.50/154.78	(step @p396 :rule bool-or-de-morgan :args (@t32 @t327 false))
154.50/154.78	(step @p397 :rule nary_cong :premises (@p201 @p396) :args ((or @t296 (not @t328))))
154.50/154.78	(step @p398 :rule bool-and-de-morgan :args (@t295 @t328 true))
154.50/154.78	(step @p399 :rule trans :premises (@p398 @p397))
154.50/154.78	(step @p400 :rule nary_cong :premises (@p399 @p104) :args ((or (not @t361) @t237)))
154.50/154.78	(step @p401 :rule trans :premises (@p400 @p395))
154.50/154.78	(step @p402 :rule bool-impl-elim :args (@t361 @t237))
154.50/154.78	(step @p403 :rule trans :premises (@p402 @p401))
154.50/154.78	(step @p404 :rule cong :premises (@p403) :args ((forall @t42 (=> @t361 @t237))))
154.50/154.78	(step @p405 :rule trans :premises (@p404 @p394))
154.50/154.78	(step @p406 :rule beta-reduce :args ((= (_ @t318 @t6) @t328)))
154.50/154.78	(step @p407 :rule ho_cong :premises (@p243 @p113))
154.50/154.78	(step @p408 :rule trans :premises (@p407 @p406))
154.50/154.78	(step @p409 :rule nary_cong :premises (@p245 @p408) :args (@t362))
154.50/154.78	(step @p410 :rule cong :premises (@p409 @p129) :args (@t363))
154.50/154.78	(step @p411 :rule cong :premises (@p410) :args ((forall @t42 @t363)))
154.50/154.78	(step @p412 :rule trans :premises (@p411 @p405))
154.50/154.78	(step @p413 :rule ho_cong :premises (@p354 @p113))
154.50/154.78	(step @p414 :rule nary_cong :premises (@p355 @p413) :args (@t88))
154.50/154.78	(step @p415 :rule cong :premises (@p414 @p363) :args (@t89))
154.50/154.78	(step @p416 :rule cong :premises (@p415) :args (@t90))
154.50/154.78	(step @p417 :rule trans :premises (@p416 @p412))
154.50/154.78	(step @p418 :rule cong :premises (@p417) :args (@t91))
154.50/154.78	(step @p419 :rule trans :premises (@p30 @p418))
154.50/154.78	(step @p420 :rule ho_cong :premises (@p419 @p54))
154.50/154.78	(step @p421 :rule cong :premises (@p420 @p369) :args (@t2))
154.50/154.78	(step @p422 :rule cong :premises (@p421) :args (@t4))
154.50/154.78	(step @p423 :rule cong :premises (@p422) :args (@t5))
154.50/154.78	(step @p424 :rule trans :premises (@p423 @p53))
154.50/154.78	(step @p425 :rule trans :premises (@p424 @p32))
154.50/154.78	(step @p426 :rule eq_resolve :premises (@p1 @p425))
154.50/154.78	(step @p427 :rule skolemize :premises (@p426))
154.50/154.78	(step @p428 :rule bool-double-not-elim :args (@t367))
154.50/154.78	(step @p429 :rule refl :args (@t394))
154.50/154.78	(step @p430 :rule nary_cong :premises (@p429 @p428) :args ((or @t394 (not @t393))))
154.50/154.78	(step @p431 :rule cnf_or_neg :args (@t394 0))
154.50/154.78	(step @p432 :rule eq_resolve :premises (@p431 @p430))
154.50/154.78	(step @p433 :rule reordering :premises (@p432) :args ((or @t367 @t394)))
154.50/154.78	(step @p434 :rule chain_resolution :premises (@p433 @p427) :args (@t395 @t396))
154.50/154.78	(step @p435 :rule bool-double-not-elim :args (@t400))
154.50/154.78	(step @p436 :rule refl :args (@t404))
154.50/154.78	(step @p437 :rule nary_cong :premises (@p436 @p435) :args ((or @t404 (not @t402))))
154.50/154.78	(step @p438 :rule cnf_or_neg :args (@t404 1))
154.50/154.78	(step @p439 :rule eq_resolve :premises (@p438 @p437))
154.50/154.78	(step @p440 :rule reordering :premises (@p439) :args ((or @t400 @t404)))
154.50/154.78	(step @p441 :rule cnf_or_neg :args (@t404 2))
154.50/154.78	(step @p442 :rule bool-double-not-elim :args (@t389))
154.50/154.78	(step @p443 :rule nary_cong :premises (@p429 @p442) :args ((or @t394 (not @t390))))
154.50/154.78	(step @p444 :rule cnf_or_neg :args (@t394 2))
154.50/154.78	(step @p445 :rule eq_resolve :premises (@p444 @p443))
154.50/154.78	(step @p446 :rule reordering :premises (@p445) :args ((or @t389 @t394)))
154.50/154.78	(step @p447 :rule chain_resolution :premises (@p446 @p427) :args (@t395 @t396))
154.50/154.78	(step @p448 :rule cnf_or_pos :args (@t405))
154.50/154.78	(step @p449 :rule reordering :premises (@p448) :args ((or @t390 @t401 (not @t405))))
154.50/154.78	(assume-push @p550 @t400)
154.50/154.78	(step @p451 :rule instantiate :premises (@p550) :args ((@list @t387 @t368)))
154.50/154.78	(step-pop @p550 :rule scope :premises (@p451))
154.50/154.78	(step @p452 :rule process_scope :premises (@p550) :args (@t405))
154.50/154.78	(step @p454 :rule implies_elim :premises (@p452))
154.50/154.78	(step @p455 :rule chain_resolution :premises (@p454 @p449 @p447 @p441 @p440) :args (@t406 (@list @t405 @t389 @t401 @t400)))
154.50/154.78	(step @p456 :rule factoring :premises (@p455))
154.50/154.78	(step @p457 :rule refl :args (@t407))
154.50/154.78	(step @p458 :rule bool-double-not-elim :args (@t398))
154.50/154.78	(step @p459 :rule nary_cong :premises (@p458 @p457) :args ((or (not @t408) @t407)))
154.50/154.78	(assume-push @p552 @t408)
154.50/154.78	(step @p461 :rule skolemize :premises (@p552))
154.50/154.78	(step-pop @p552 :rule scope :premises (@p461))
154.50/154.78	(step @p462 :rule process_scope :premises (@p552) :args (@t407))
154.50/154.78	(step @p464 :rule implies_elim :premises (@p462))
154.50/154.78	(step @p465 :rule eq_resolve :premises (@p464 @p459))
154.50/154.78	(step @p466 :rule chain_resolution :premises (@p465 @p456) :args (@t409 (@list @t404)))
154.50/154.78	(step @p467 :rule cnf_and_pos :args (@t410 1))
154.50/154.78	(step @p468 :rule reordering :premises (@p467) :args ((or @t408 (not @t410))))
154.50/154.78	(step @p469 :rule chain_resolution :premises (@p468 @p466) :args (@t409 (@list @t398)))
154.50/154.78	(step @p470 :rule bool-double-not-elim :args (@t413))
154.50/154.78	(step @p471 :rule refl :args (@t417))
154.50/154.78	(step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or @t417 (not @t415))))
154.50/154.78	(step @p473 :rule cnf_or_neg :args (@t417 1))
154.50/154.78	(step @p474 :rule eq_resolve :premises (@p473 @p472))
154.50/154.78	(step @p475 :rule reordering :premises (@p474) :args ((or @t413 @t417)))
154.50/154.78	(step @p476 :rule cnf_or_neg :args (@t417 2))
154.50/154.78	(step @p477 :rule bool-double-not-elim :args (@t391))
154.50/154.78	(step @p478 :rule nary_cong :premises (@p429 @p477) :args ((or @t394 (not @t392))))
154.50/154.78	(step @p479 :rule cnf_or_neg :args (@t394 1))
154.50/154.78	(step @p480 :rule eq_resolve :premises (@p479 @p478))
154.50/154.78	(step @p481 :rule reordering :premises (@p480) :args ((or @t391 @t394)))
154.50/154.78	(step @p482 :rule chain_resolution :premises (@p481 @p427) :args (@t395 @t396))
154.50/154.78	(step @p483 :rule cnf_or_pos :args (@t418))
154.50/154.78	(step @p484 :rule reordering :premises (@p483) :args ((or @t392 @t414 (not @t418))))
154.50/154.78	(assume-push @p554 @t413)
154.50/154.78	(step @p486 :rule instantiate :premises (@p554) :args ((@list @t387 @t369)))
154.50/154.78	(step-pop @p554 :rule scope :premises (@p486))
154.50/154.78	(step @p487 :rule process_scope :premises (@p554) :args (@t418))
154.50/154.78	(step @p489 :rule implies_elim :premises (@p487))
154.50/154.78	(step @p490 :rule chain_resolution :premises (@p489 @p484 @p482 @p476 @p475) :args (@t406 (@list @t418 @t391 @t414 @t413)))
154.50/154.78	(step @p491 :rule factoring :premises (@p490))
154.50/154.78	(step @p492 :rule refl :args (@t419))
154.50/154.78	(step @p493 :rule bool-double-not-elim :args (@t411))
154.50/154.78	(step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or (not @t420) @t419)))
154.50/154.78	(assume-push @p556 @t420)
154.50/154.78	(step @p496 :rule skolemize :premises (@p556))
154.50/154.78	(step-pop @p556 :rule scope :premises (@p496))
154.50/154.78	(step @p497 :rule process_scope :premises (@p556) :args (@t419))
154.50/154.78	(step @p499 :rule implies_elim :premises (@p497))
154.50/154.78	(step @p500 :rule eq_resolve :premises (@p499 @p494))
154.50/154.78	(step @p501 :rule chain_resolution :premises (@p500 @p491) :args (@t409 (@list @t417)))
154.50/154.78	(step @p502 :rule cnf_and_pos :args (@t421 1))
154.50/154.78	(step @p503 :rule reordering :premises (@p502) :args ((or @t420 (not @t421))))
154.50/154.78	(step @p504 :rule chain_resolution :premises (@p503 @p501) :args (@t409 (@list @t411)))
154.50/154.78	(step @p505 :rule cnf_or_neg :args (@t394 10))
154.50/154.78	(step @p506 :rule chain_resolution :premises (@p505 @p427) :args (@t395 @t396))
154.50/154.78	(step @p507 :rule bool-double-not-elim :args (@t372))
154.50/154.78	(step @p508 :rule nary_cong :premises (@p429 @p507) :args ((or @t394 (not @t373))))
154.50/154.78	(step @p509 :rule cnf_or_neg :args (@t394 9))
154.50/154.78	(step @p510 :rule eq_resolve :premises (@p509 @p508))
154.50/154.78	(step @p511 :rule reordering :premises (@p510) :args ((or @t372 @t394)))
154.50/154.78	(step @p512 :rule chain_resolution :premises (@p511 @p427) :args (@t395 @t396))
154.50/154.78	(step @p513 :rule bool-double-not-elim :args (@t375))
154.50/154.78	(step @p514 :rule nary_cong :premises (@p429 @p513) :args ((or @t394 (not @t376))))
154.50/154.78	(step @p515 :rule cnf_or_neg :args (@t394 8))
154.50/154.78	(step @p516 :rule eq_resolve :premises (@p515 @p514))
154.50/154.78	(step @p517 :rule reordering :premises (@p516) :args ((or @t375 @t394)))
154.50/154.78	(step @p518 :rule chain_resolution :premises (@p517 @p427) :args (@t395 @t396))
154.50/154.78	(step @p519 :rule cnf_or_neg :args (@t394 7))
154.50/154.78	(step @p520 :rule chain_resolution :premises (@p519 @p427) :args (@t395 @t396))
154.50/154.78	(step @p521 :rule bool-double-not-elim :args (@t379))
154.50/154.78	(step @p522 :rule nary_cong :premises (@p429 @p521) :args ((or @t394 (not @t380))))
154.50/154.78	(step @p523 :rule cnf_or_neg :args (@t394 6))
154.50/154.78	(step @p524 :rule eq_resolve :premises (@p523 @p522))
154.50/154.78	(step @p525 :rule reordering :premises (@p524) :args ((or @t379 @t394)))
154.50/154.78	(step @p526 :rule chain_resolution :premises (@p525 @p427) :args (@t395 @t396))
154.50/154.78	(step @p527 :rule bool-double-not-elim :args (@t382))
154.50/154.78	(step @p528 :rule nary_cong :premises (@p429 @p527) :args ((or @t394 (not @t383))))
154.50/154.78	(step @p529 :rule cnf_or_neg :args (@t394 5))
154.50/154.78	(step @p530 :rule eq_resolve :premises (@p529 @p528))
154.50/154.78	(step @p531 :rule reordering :premises (@p530) :args ((or @t382 @t394)))
154.50/154.78	(step @p532 :rule chain_resolution :premises (@p531 @p427) :args (@t395 @t396))
154.50/154.78	(step @p533 :rule bool-double-not-elim :args (@t384))
154.50/154.78	(step @p534 :rule nary_cong :premises (@p429 @p533) :args ((or @t394 (not @t385))))
154.50/154.78	(step @p535 :rule cnf_or_neg :args (@t394 4))
154.50/154.78	(step @p536 :rule eq_resolve :premises (@p535 @p534))
154.50/154.78	(step @p537 :rule reordering :premises (@p536) :args ((or @t384 @t394)))
154.50/154.78	(step @p538 :rule chain_resolution :premises (@p537 @p427) :args (@t395 @t396))
154.50/154.78	(step @p539 :rule cnf_or_neg :args (@t394 3))
154.50/154.78	(step @p540 :rule chain_resolution :premises (@p539 @p427) :args (@t395 @t396))
154.50/154.78	(step @p541 :rule cnf_or_pos :args (@t422))
154.50/154.78	(step @p542 :rule reordering :premises (@p541) :args ((or @t386 @t385 @t383 @t380 @t378 @t376 @t373 @t371 @t421 @t410 (not @t422))))
154.50/154.78	(step @p543 :rule chain_resolution :premises (@p542 @p540 @p538 @p532 @p526 @p520 @p518 @p512 @p506 @p504 @p469) :args ((@list true false false false true false false true true true) (@list @t386 @t384 @t382 @t379 @t378 @t375 @t372 @t371 @t421 @t410)))
154.50/154.78	(assume-push @p558 @t367)
154.50/154.78	(step @p545 :rule instantiate :premises (@p434) :args ((@list @t387 @t368 @t369 @t377 @t370)))
154.50/154.78	(step-pop @p558 :rule scope :premises (@p545))
154.50/154.78	(step @p546 :rule process_scope :premises (@p558) :args (@t422))
154.50/154.78	(step @p548 :rule implies_elim :premises (@p546))
154.50/154.78	(step @p549 false :rule chain_resolution :premises (@p548 @p543 @p434) :args ((@list true false) (@list @t422 @t367)))
154.50/154.78	)
154.50/154.78	% SZS output end Proof
154.50/154.78	% cvc5 exiting
154.50/154.79	EOF