0.10/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.13/0.33	% Computer : n031.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit : 1920
0.13/0.33	% WCLimit  : 240
0.13/0.33	% DateTime : Fri Sep  5 23:14:52 EDT 2025
0.13/0.33	% CPUTime  : 
0.18/0.49	%----Proving TH0
164.98/165.58	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
164.98/165.58	--- 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...
164.98/165.58	--- 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...
164.98/165.58	--- Run --ho-elim --full-saturate-quant at 14s...
164.98/165.58	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
164.98/165.58	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
164.98/165.58	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
164.98/165.58	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s...
164.98/165.58	--- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 16s...
164.98/165.58	% SZS status Theorem
164.98/165.58	% SZS output start Proof
164.98/165.58	(
164.98/165.58	(declare-type $$unsorted ())
164.98/165.58	(define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))
164.98/165.58	(define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))
164.98/165.58	(define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3)))))))
164.98/165.58	(define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1)))))))
164.98/165.59	(define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))
164.98/165.59	(define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
164.98/165.59	(define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1)))))))
164.98/165.59	(define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1)))))))
164.98/165.59	(define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
164.98/165.59	(define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1))))))))
164.98/165.59	(define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1)))))))))
164.98/165.59	(define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
164.98/165.59	(define tptp.trans () (let ((_let_1 (@var "Z" $$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))))))))))
164.98/165.59	(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)))))))))
164.98/165.59	(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))))))
164.98/165.59	(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))))))
164.98/165.59	(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)))))
164.98/165.59	(define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1)))))
164.98/165.59	(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))))))))
164.98/165.59	(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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1))))))))))))))))
164.98/165.59	(define tptp.ind () (let ((_let_1 (@var "X" $$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)))))))))))
164.98/165.59	(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))))))))
164.98/165.59	(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)))))))
164.98/165.59	(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))))))))
164.98/165.59	(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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1))))))))))
164.98/165.59	(define tptp.lconfl () (let ((_let_1 (@var "Y" $$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))))))))))
164.98/165.59	(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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))
164.98/165.59	(define tptp.confl () (let ((_let_1 (@var "Y" $$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))))))))))
164.98/165.59	(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))))))))
164.98/165.59	(define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool)))
164.98/165.59	(define @t2 () (_ tptp.tc @t1))
164.98/165.59	(define @t3 () (_ tptp.rc @t2))
164.98/165.59	(define @t4 () (= (_ tptp.tc (_ tptp.rc @t1)) @t3))
164.98/165.59	(define @t5 () (@list @t1))
164.98/165.59	(define @t6 () (forall @t5 @t4))
164.98/165.59	(define @t7 () (not @t6))
164.98/165.59	(define @t8 () (@var "Y" $$unsorted))
164.98/165.59	(define @t9 () (@var "X" $$unsorted))
164.98/165.59	(define @t10 () (@var "S" (-> $$unsorted $$unsorted Bool)))
164.98/165.59	(define @t11 () (_ (_ @t10 @t9) @t8))
164.98/165.59	(define @t12 () (_ @t1 @t9))
164.98/165.59	(define @t13 () (_ @t12 @t8))
164.98/165.59	(define @t14 () (@list @t9 @t8))
164.98/165.59	(define @t15 () (forall @t14 (=> @t13 @t11)))
164.98/165.59	(define @t16 () (@list @t1 @t10))
164.98/165.59	(define @t17 () (lambda @t16 @t15))
164.98/165.59	(define @t18 () (_ @t1 @t8))
164.98/165.59	(define @t19 () (_ @t18 @t9))
164.98/165.59	(define @t20 () (@list @t1 @t9 @t8))
164.98/165.59	(define @t21 () (lambda @t20 @t19))
164.98/165.59	(define @t22 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))
164.98/165.59	(define @t23 () (_ @t22 @t1))
164.98/165.59	(define @t24 () (@list @t22))
164.98/165.59	(define @t25 () (lambda @t24 (forall @t5 (= (_ @t22 @t23) @t23))))
164.98/165.59	(define @t26 () (_ tptp.subrel @t1))
164.98/165.59	(define @t27 () (lambda @t24 (forall @t5 (_ @t26 @t23))))
164.98/165.59	(define @t28 () (_ @t26 @t10))
164.98/165.59	(define @t29 () (lambda @t24 (forall @t16 (=> @t28 (_ (_ tptp.subrel @t23) (_ @t22 @t10))))))
164.98/165.59	(define @t30 () (_ @t12 @t9))
164.98/165.59	(define @t31 () (@list @t9))
164.98/165.59	(define @t32 () (lambda @t5 (forall @t31 @t30)))
164.98/165.59	(define @t33 () (lambda @t5 (forall @t31 (not @t30))))
164.98/165.59	(define @t34 () (= @t9 @t8))
164.98/165.59	(define @t35 () (or @t34 @t13))
164.98/165.59	(define @t36 () (lambda @t20 @t35))
164.98/165.59	(define @t37 () (lambda @t5 (forall @t14 (=> @t13 @t19))))
164.98/165.59	(define @t38 () (lambda @t5 (forall @t14 (=> (and @t13 @t19) @t34))))
164.98/165.59	(define @t39 () (lambda @t5 (forall @t14 (=> @t13 (not @t19)))))
164.98/165.59	(define @t40 () (lambda @t20 (or @t19 @t13)))
164.98/165.59	(define @t41 () (@var "Z" $$unsorted))
164.98/165.59	(define @t42 () (_ @t12 @t41))
164.98/165.59	(define @t43 () (_ @t18 @t41))
164.98/165.59	(define @t44 () (and @t13 @t43))
164.98/165.59	(define @t45 () (@list @t9 @t8 @t41))
164.98/165.59	(define @t46 () (forall @t45 (=> @t44 @t42)))
164.98/165.59	(define @t47 () (lambda @t5 @t46))
164.98/165.59	(define @t48 () (and (_ tptp.trans @t10) @t28))
164.98/165.59	(define @t49 () (=> @t48 @t11))
164.98/165.59	(define @t50 () (@list @t10))
164.98/165.59	(define @t51 () (forall @t50 @t49))
164.98/165.59	(define @t52 () (lambda @t20 @t51))
164.98/165.59	(define @t53 () (@var "__flatten_var_1" $$unsorted))
164.98/165.59	(define @t54 () (@var "__flatten_var_0" $$unsorted))
164.98/165.59	(define @t55 () (@list @t1 @t54 @t53))
164.98/165.59	(define @t56 () (lambda @t55 (_ (_ @t3 @t54) @t53)))
164.98/165.59	(define @t57 () (lambda @t55 (_ (_ (_ tptp.sc @t3) @t54) @t53)))
164.98/165.59	(define @t58 () (_ tptp.trans @t1))
164.98/165.59	(define @t59 () (lambda @t5 (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t58)))
164.98/165.59	(define @t60 () (lambda @t5 (and (_ tptp.asymm @t1) @t58)))
164.98/165.59	(define @t61 () (lambda @t5 (forall @t14 (or @t34 @t13 @t19))))
164.98/165.59	(define @t62 () (not @t13))
164.98/165.59	(define @t63 () (@var "A" (-> $$unsorted Bool)))
164.98/165.59	(define @t64 () (@list @t8))
164.98/165.59	(define @t65 () (_ @t63 @t9))
164.98/165.59	(define @t66 () (lambda @t5 (forall (@list @t63) (=> (exists @t31 @t65) (exists @t31 (and @t65 (forall @t64 (=> (_ @t63 @t8) @t62))))))))
164.98/165.59	(define @t67 () (@var "P" (-> $$unsorted Bool)))
164.98/165.59	(define @t68 () (_ @t67 @t9))
164.98/165.59	(define @t69 () (lambda @t5 (forall (@list @t67) (=> (forall @t31 (=> (forall @t64 (=> (_ (_ @t2 @t9) @t8) (_ @t67 @t8))) @t68)) (forall @t31 @t68)))))
164.98/165.59	(define @t70 () (lambda (@list @t1 @t9) (not (exists @t64 @t13))))
164.98/165.59	(define @t71 () (_ tptp.trc @t1))
164.98/165.59	(define @t72 () (_ @t71 @t8))
164.98/165.59	(define @t73 () (lambda @t20 (and (_ @t72 @t9) (_ (_ tptp.innf @t1) @t9))))
164.98/165.59	(define @t74 () (lambda @t5 (forall @t31 (exists @t64 (_ (_ (_ tptp.nfof @t1) @t8) @t9)))))
164.98/165.59	(define @t75 () (_ @t71 @t9))
164.98/165.59	(define @t76 () (_ @t75 @t41))
164.98/165.59	(define @t77 () (lambda @t20 (exists (@list @t41) (and @t76 (_ @t72 @t41)))))
164.98/165.59	(define @t78 () (_ tptp.join @t1))
164.98/165.59	(define @t79 () (_ (_ @t78 @t41) @t8))
164.98/165.59	(define @t80 () (lambda @t5 (forall @t45 (=> (and @t42 @t13) @t79))))
164.98/165.59	(define @t81 () (_ @t75 @t8))
164.98/165.59	(define @t82 () (lambda @t5 (forall @t45 (=> (and @t42 @t81) @t79))))
164.98/165.59	(define @t83 () (lambda @t5 (forall @t45 (=> (and @t76 @t81) @t79))))
164.98/165.59	(define @t84 () (lambda @t5 (forall @t14 (=> (_ (_ (_ tptp.trsc @t1) @t9) @t8) (_ (_ @t78 @t9) @t8)))))
164.98/165.59	(define @t85 () (_ @t10 @t9 @t8))
164.98/165.59	(define @t86 () (@var "BOUND_VARIABLE_8727" $$unsorted))
164.98/165.59	(define @t87 () (@var "BOUND_VARIABLE_8725" $$unsorted))
164.98/165.59	(define @t88 () (_ @t10 @t87 @t86))
164.98/165.59	(define @t89 () (@list @t87 @t86))
164.98/165.59	(define @t90 () (forall @t89 (or (not (_ @t1 @t87 @t86)) @t88)))
164.98/165.59	(define @t91 () (not @t90))
164.98/165.59	(define @t92 () (@var "BOUND_VARIABLE_8717" $$unsorted))
164.98/165.59	(define @t93 () (_ @t10 @t92 @t92))
164.98/165.59	(define @t94 () (@list @t92))
164.98/165.59	(define @t95 () (forall @t94 @t93))
164.98/165.59	(define @t96 () (not @t95))
164.98/165.59	(define @t97 () (@var "BOUND_VARIABLE_7618" $$unsorted))
164.98/165.59	(define @t98 () (@var "BOUND_VARIABLE_7620" $$unsorted))
164.98/165.59	(define @t99 () (@list @t97 @t98 @t41))
164.98/165.59	(define @t100 () (not (forall @t99 (or (not (_ @t10 @t97 @t98)) (not (_ @t10 @t98 @t41)) (_ @t10 @t97 @t41)))))
164.98/165.59	(define @t101 () (or @t100 @t96 @t91 @t85))
164.98/165.59	(define @t102 () (lambda @t14 (forall @t50 @t101)))
164.98/165.59	(define @t103 () (@var "BOUND_VARIABLE_7609" $$unsorted))
164.98/165.59	(define @t104 () (@var "BOUND_VARIABLE_7607" $$unsorted))
164.98/165.59	(define @t105 () (_ @t10 @t104 @t103))
164.98/165.59	(define @t106 () (_ @t1 @t104 @t103))
164.98/165.59	(define @t107 () (not @t106))
164.98/165.59	(define @t108 () (or @t107 @t105))
164.98/165.59	(define @t109 () (@list @t104 @t103))
164.98/165.59	(define @t110 () (forall @t109 @t108))
164.98/165.59	(define @t111 () (forall @t50 (or @t100 (not @t110) @t85)))
164.98/165.59	(define @t112 () (lambda @t14 (or @t34 @t111)))
164.98/165.59	(define @t113 () (lambda @t64 @t111))
164.98/165.59	(define @t114 () (lambda @t14 @t111))
164.98/165.59	(define @t115 () (_ @t114 @t9))
164.98/165.59	(define @t116 () (or @t34 (_ @t115 @t8)))
164.98/165.59	(define @t117 () (lambda @t14 @t116))
164.98/165.59	(define @t118 () (lambda @t20 @t111))
164.98/165.59	(define @t119 () (_ @t1 @t9 @t8))
164.98/165.59	(define @t120 () (not @t119))
164.98/165.59	(define @t121 () (forall @t14 (or @t120 @t85)))
164.98/165.59	(define @t122 () (not @t121))
164.98/165.59	(define @t123 () (forall @t45 (or (not @t85) (not (_ @t10 @t8 @t41)) (_ @t10 @t9 @t41))))
164.98/165.59	(define @t124 () (not @t123))
164.98/165.59	(define @t125 () (lambda @t20 (forall @t50 (or @t124 @t122 @t85))))
164.98/165.59	(define @t126 () (or @t100 (not (and @t95 @t90)) @t85))
164.98/165.59	(define @t127 () (not (= @t92 @t92)))
164.98/165.59	(define @t128 () (or @t127 @t93))
164.98/165.59	(define @t129 () (@var "BOUND_VARIABLE_8715" $$unsorted))
164.98/165.59	(define @t130 () (_ @t10 @t129 @t92))
164.98/165.59	(define @t131 () (not (= @t129 @t92)))
164.98/165.59	(define @t132 () (or @t131 @t131 @t130))
164.98/165.59	(define @t133 () (@list @t129))
164.98/165.59	(define @t134 () (or @t131 @t130))
164.98/165.59	(define @t135 () (forall @t133 @t134))
164.98/165.59	(define @t136 () (forall @t94 @t135))
164.98/165.59	(define @t137 () (forall (@list @t92 @t129) @t134))
164.98/165.59	(define @t138 () (forall (@list @t129 @t92) @t134))
164.98/165.59	(define @t139 () (@list @t104 @t103))
164.98/165.59	(define @t140 () (@list @t87 @t86))
164.98/165.59	(define @t141 () (= @t104 @t103))
164.98/165.59	(define @t142 () (not @t141))
164.98/165.59	(define @t143 () (or @t142 @t105))
164.98/165.59	(define @t144 () (forall @t109 @t143))
164.98/165.59	(define @t145 () (and @t144 @t110))
164.98/165.59	(define @t146 () (_ (_ @t1 @t104) @t103))
164.98/165.59	(define @t147 () (not @t146))
164.98/165.59	(define @t148 () (and @t142 @t147))
164.98/165.59	(define @t149 () (or @t148 @t105))
164.98/165.59	(define @t150 () (or @t141 @t146))
164.98/165.59	(define @t151 () (or (not @t150) @t105))
164.98/165.59	(define @t152 () (lambda @t14 @t35))
164.98/165.59	(define @t153 () (_ @t152 @t104 @t103))
164.98/165.59	(define @t154 () (not @t153))
164.98/165.59	(define @t155 () (or @t154 @t105))
164.98/165.59	(define @t156 () (forall @t109 @t155))
164.98/165.59	(define @t157 () (not @t156))
164.98/165.59	(define @t158 () (or @t100 @t157 @t85))
164.98/165.59	(define @t159 () (forall @t50 @t158))
164.98/165.59	(define @t160 () (lambda @t14 @t159))
164.98/165.59	(define @t161 () (_ @t36 @t1))
164.98/165.59	(define @t162 () (= (_ @t125 @t161) (_ @t36 (_ @t125 @t1))))
164.98/165.59	(define @t163 () (forall @t5 @t162))
164.98/165.59	(define @t164 () (or @t124 @t122 @t11))
164.98/165.59	(define @t165 () (and @t123 @t121))
164.98/165.59	(define @t166 () (lambda @t50 @t121))
164.98/165.59	(define @t167 () (_ (lambda @t16 @t121) @t1))
164.98/165.59	(define @t168 () (_ @t1 @t9 @t41))
164.98/165.59	(define @t169 () (_ @t1 @t8 @t41))
164.98/165.59	(define @t170 () (_ (lambda @t5 (forall @t45 (or @t120 (not @t169) @t168))) @t10))
164.98/165.59	(define @t171 () (and @t170 (_ @t167 @t10)))
164.98/165.59	(define @t172 () (=> @t171 @t11))
164.98/165.59	(define @t173 () (or @t62 @t11))
164.98/165.59	(define @t174 () (not @t43))
164.98/165.59	(define @t175 () (or @t62 @t174 @t42))
164.98/165.59	(define @t176 () (forall @t5 (= @t112 @t102)))
164.98/165.59	(define @t177 () (@quantifiers_skolemize @t176 0))
164.98/165.59	(define @t178 () (not (_ @t177 @t104 @t103)))
164.98/165.59	(define @t179 () (not (forall @t109 (or @t178 @t105))))
164.98/165.59	(define @t180 () (lambda @t14 (or @t34 (forall @t50 (or @t100 @t179 @t85)))))
164.98/165.59	(define @t181 () (@purify @t180))
164.98/165.59	(define @t182 () (not (_ @t177 @t87 @t86)))
164.98/165.59	(define @t183 () (not (forall @t89 (or @t182 @t88))))
164.98/165.59	(define @t184 () (lambda @t14 (forall @t50 (or @t100 @t96 @t183 @t85))))
164.98/165.59	(define @t185 () (@purify @t184))
164.98/165.59	(define @t186 () (= @t185 @t181))
164.98/165.59	(define @t187 () (not @t186))
164.98/165.59	(define @t188 () (not @t176))
164.98/165.59	(define @t189 () (= @t180 @t184))
164.98/165.59	(define @t190 () (not @t189))
164.98/165.59	(define @t191 () (@list true))
164.98/165.59	(define @t192 () (@const 0 $$unsorted))
164.98/165.59	(define @t193 () (@const 1 $$unsorted))
164.98/165.59	(define @t194 () (_ @t10 @t193 @t192))
164.98/165.59	(define @t195 () (forall @t50 (or @t100 @t96 @t183 @t194)))
164.98/165.59	(define @t196 () (forall @t50 (or @t100 @t179 @t194)))
164.98/165.59	(define @t197 () (= @t193 @t192))
164.98/165.59	(define @t198 () (or @t197 @t196))
164.98/165.59	(define @t199 () (_ @t180 @t193 @t192))
164.98/165.59	(define @t200 () (_ @t181 @t193 @t192))
164.98/165.59	(define @t201 () (_ @t184 @t193 @t192))
164.98/165.59	(define @t202 () (_ @t185 @t193 @t192))
164.98/165.59	(define @t203 () (= @t202 @t200))
164.98/165.59	(define @t204 () (not @t203))
164.98/165.59	(define @t205 () (or @t186 @t204))
164.98/165.59	(define @t206 () (= @t198 @t195))
164.98/165.59	(define @t207 () (@quantifiers_skolemize @t195 0))
164.98/165.59	(define @t208 () (_ @t207 @t193 @t192))
164.98/165.59	(define @t209 () (forall @t89 (or @t182 (_ @t207 @t87 @t86))))
164.98/165.59	(define @t210 () (not @t209))
164.98/165.59	(define @t211 () (forall @t94 (_ @t207 @t92 @t92)))
164.98/165.59	(define @t212 () (not @t211))
164.98/165.59	(define @t213 () (forall @t99 (or (not (_ @t207 @t97 @t98)) (not (_ @t207 @t98 @t41)) (_ @t207 @t97 @t41))))
164.98/165.59	(define @t214 () (not @t213))
164.98/165.59	(define @t215 () (or @t214 @t212 @t210 @t208))
164.98/165.59	(define @t216 () (not @t215))
164.98/165.59	(define @t217 () (not @t195))
164.98/165.59	(define @t218 () (forall @t109 (or @t178 (_ @t207 @t104 @t103))))
164.98/165.59	(define @t219 () (not @t218))
164.98/165.59	(define @t220 () (or @t214 @t219 @t208))
164.98/165.59	(define @t221 () (@list true true true false))
164.98/165.59	(define @t222 () (@list @t215 @t195 @t206 @t198))
164.98/165.59	(define @t223 () (_ @t207 @t193 @t193))
164.98/165.59	(define @t224 () (not @t223))
164.98/165.59	(define @t225 () (not @t197))
164.98/165.59	(define @t226 () (not @t208))
164.98/165.59	(define @t227 () (and @t197 @t226))
164.98/165.59	(define @t228 () (@list true true))
164.98/165.59	(define @t229 () (forall @t89 (or @t182 (_ @t181 @t87 @t86))))
164.98/165.59	(define @t230 () (not @t229))
164.98/165.59	(define @t231 () (forall @t94 (_ @t181 @t92 @t92)))
164.98/165.59	(define @t232 () (not @t231))
164.98/165.59	(define @t233 () (forall @t99 (or (not (_ @t181 @t97 @t98)) (not (_ @t181 @t98 @t41)) (_ @t181 @t97 @t41))))
164.98/165.59	(define @t234 () (not @t233))
164.98/165.59	(define @t235 () (or @t234 @t232 @t230 @t197 @t196))
164.98/165.59	(define @t236 () (or @t234 @t232 @t230 @t200))
164.98/165.59	(define @t237 () (@list false))
164.98/165.59	(define @t238 () (@quantifiers_skolemize @t231 0))
164.98/165.59	(define @t239 () (forall @t50 (or @t100 @t179 (_ @t10 @t238 @t238))))
164.98/165.59	(define @t240 () (or (= @t238 @t238) @t239))
164.98/165.59	(define @t241 () (_ @t181 @t238 @t238))
164.98/165.59	(define @t242 () (not @t241))
164.98/165.59	(define @t243 () (@quantifiers_skolemize @t233 2))
164.98/165.59	(define @t244 () (@quantifiers_skolemize @t233 1))
164.98/165.59	(define @t245 () (forall @t50 (or @t100 @t179 (_ @t10 @t244 @t243))))
164.98/165.59	(define @t246 () (= @t244 @t243))
164.98/165.59	(define @t247 () (or @t246 @t245))
164.98/165.59	(define @t248 () (@quantifiers_skolemize @t233 0))
164.98/165.59	(define @t249 () (forall @t50 (or @t100 @t179 (_ @t10 @t248 @t243))))
164.98/165.59	(define @t250 () (= @t248 @t243))
164.98/165.59	(define @t251 () (not @t247))
164.98/165.59	(define @t252 () (forall @t50 (or @t100 @t179 (_ @t10 @t248 @t244))))
164.98/165.59	(define @t253 () (= @t248 @t244))
164.98/165.59	(define @t254 () (or @t253 @t252))
164.98/165.59	(define @t255 () (not @t254))
164.98/165.59	(define @t256 () (or @t255 @t251 @t250 @t249))
164.98/165.59	(define @t257 () (@quantifiers_skolemize @t249 0))
164.98/165.59	(define @t258 () (_ @t257 @t248 @t243))
164.98/165.59	(define @t259 () (forall @t109 (or @t178 (_ @t257 @t104 @t103))))
164.98/165.59	(define @t260 () (not @t259))
164.98/165.59	(define @t261 () (forall @t99 (or (not (_ @t257 @t97 @t98)) (not (_ @t257 @t98 @t41)) (_ @t257 @t97 @t41))))
164.98/165.59	(define @t262 () (not @t261))
164.98/165.59	(define @t263 () (or @t262 @t260 @t258))
164.98/165.59	(define @t264 () (not @t263))
164.98/165.59	(define @t265 () (not @t249))
164.98/165.59	(define @t266 () (not @t246))
164.98/165.59	(define @t267 () (not @t253))
164.98/165.59	(define @t268 () (not @t250))
164.98/165.59	(define @t269 () (and @t253 @t268))
164.98/165.59	(define @t270 () (_ @t257 @t244 @t243))
164.98/165.59	(define @t271 () (not @t270))
164.98/165.59	(define @t272 () (not @t258))
164.98/165.59	(define @t273 () (not @t272))
164.98/165.59	(define @t274 () (and @t253 @t272))
164.98/165.59	(define @t275 () (or @t262 @t260 @t270))
164.98/165.59	(define @t276 () (@list @t257))
164.98/165.59	(define @t277 () (_ @t257 @t248 @t244))
164.98/165.59	(define @t278 () (or @t262 @t260 @t277))
164.98/165.59	(define @t279 () (not @t277))
164.98/165.59	(define @t280 () (and @t277 @t246 @t272))
164.98/165.59	(define @t281 () (or @t279 @t271 @t258))
164.98/165.59	(define @t282 () (not @t256))
164.98/165.59	(define @t283 () (or @t250 @t249))
164.98/165.59	(define @t284 () (= (_ @t180 @t248 @t243) @t283))
164.98/165.59	(define @t285 () (_ @t181 @t248 @t243))
164.98/165.59	(define @t286 () (= (_ @t180 @t244 @t243) @t247))
164.98/165.59	(define @t287 () (_ @t181 @t244 @t243))
164.98/165.59	(define @t288 () (not @t287))
164.98/165.59	(define @t289 () (= (_ @t180 @t248 @t244) @t254))
164.98/165.59	(define @t290 () (_ @t181 @t248 @t244))
164.98/165.59	(define @t291 () (not @t290))
164.98/165.59	(define @t292 () (or @t291 @t288 @t285))
164.98/165.59	(define @t293 () (not @t292))
164.98/165.59	(define @t294 () (@quantifiers_skolemize @t229 1))
164.98/165.59	(define @t295 () (@quantifiers_skolemize @t229 0))
164.98/165.59	(define @t296 () (forall @t50 (or @t100 @t179 (_ @t10 @t295 @t294))))
164.98/165.59	(define @t297 () (= @t295 @t294))
164.98/165.59	(define @t298 () (_ @t177 @t295 @t294))
164.98/165.59	(define @t299 () (not @t298))
164.98/165.59	(define @t300 () (or @t299 @t297 @t296))
164.98/165.59	(define @t301 () (not @t300))
164.98/165.59	(define @t302 () (or @t297 @t296))
164.98/165.59	(define @t303 () (= (_ @t180 @t295 @t294) @t302))
164.98/165.59	(define @t304 () (_ @t181 @t295 @t294))
164.98/165.59	(define @t305 () (or @t299 @t304))
164.98/165.59	(define @t306 () (not @t305))
164.98/165.59	(define @t307 () (@list @t300))
164.98/165.59	(define @t308 () (@quantifiers_skolemize @t296 0))
164.98/165.59	(define @t309 () (_ @t308 @t295 @t294))
164.98/165.59	(define @t310 () (forall @t109 (or @t178 (_ @t308 @t104 @t103))))
164.98/165.59	(define @t311 () (not @t310))
164.98/165.59	(define @t312 () (or (not (forall @t99 (or (not (_ @t308 @t97 @t98)) (not (_ @t308 @t98 @t41)) (_ @t308 @t97 @t41)))) @t311 @t309))
164.98/165.59	(define @t313 () (not @t312))
164.98/165.59	(define @t314 () (not @t296))
164.98/165.59	(define @t315 () (@list @t312))
164.98/165.59	(define @t316 () (or @t299 @t309))
164.98/165.59	(assume @p1 @t7)
164.98/165.59	(assume @p2 true)
164.98/165.59	(step @p3 (= tptp.subrel @t17) :rule refl :args (@t17))
164.98/165.59	(step @p4 (= tptp.inv @t21) :rule refl :args (@t21))
164.98/165.59	(step @p5 (= tptp.idem @t25) :rule refl :args (@t25))
164.98/165.59	(step @p6 (= tptp.infl @t27) :rule refl :args (@t27))
164.98/165.59	(step @p7 (= tptp.mono @t29) :rule refl :args (@t29))
164.98/165.59	(step @p8 (= tptp.refl @t32) :rule refl :args (@t32))
164.98/165.59	(step @p9 (= tptp.irrefl @t33) :rule refl :args (@t33))
164.98/165.59	(step @p10 (= tptp.rc @t36) :rule refl :args (@t36))
164.98/165.59	(step @p11 (= tptp.symm @t37) :rule refl :args (@t37))
164.98/165.59	(step @p12 (= tptp.antisymm @t38) :rule refl :args (@t38))
164.98/165.59	(step @p13 (= tptp.asymm @t39) :rule refl :args (@t39))
164.98/165.59	(step @p14 (= tptp.sc @t40) :rule refl :args (@t40))
164.98/165.59	(step @p15 (= tptp.trans @t47) :rule refl :args (@t47))
164.98/165.59	(step @p16 (= tptp.tc @t52) :rule refl :args (@t52))
164.98/165.59	(step @p17 (= tptp.trc @t56) :rule refl :args (@t56))
164.98/165.59	(step @p18 (= tptp.trsc @t57) :rule refl :args (@t57))
164.98/165.59	(step @p19 (= tptp.po @t59) :rule refl :args (@t59))
164.98/165.59	(step @p20 (= tptp.so @t60) :rule refl :args (@t60))
164.98/165.59	(step @p21 (= tptp.total @t61) :rule refl :args (@t61))
164.98/165.59	(step @p22 (= tptp.term @t66) :rule refl :args (@t66))
164.98/165.59	(step @p23 (= tptp.ind @t69) :rule refl :args (@t69))
164.98/165.59	(step @p24 (= tptp.innf @t70) :rule refl :args (@t70))
164.98/165.59	(step @p25 (= tptp.nfof @t73) :rule refl :args (@t73))
164.98/165.59	(step @p26 (= tptp.norm @t74) :rule refl :args (@t74))
164.98/165.59	(step @p27 (= tptp.join @t77) :rule refl :args (@t77))
164.98/165.59	(step @p28 (= tptp.lconfl @t80) :rule refl :args (@t80))
164.98/165.59	(step @p29 (= tptp.sconfl @t82) :rule refl :args (@t82))
164.98/165.59	(step @p30 (= tptp.confl @t83) :rule refl :args (@t83))
164.98/165.59	(step @p31 (= tptp.cr @t84) :rule refl :args (@t84))
164.98/165.59	(step @p32 :rule eq-symm :args (@t102 @t112))
164.98/165.59	(step @p33 :rule beta-reduce :args ((= (_ @t113 @t8) @t111)))
164.98/165.59	(step @p34 :rule refl :args (@t8))
164.98/165.59	(step @p35 :rule beta-reduce :args ((= @t115 @t113)))
164.98/165.59	(step @p36 :rule ho_cong :premises (@p35 @p34))
164.98/165.59	(step @p37 :rule trans :premises (@p36 @p33))
164.98/165.59	(step @p38 :rule refl :args (@t34))
164.98/165.59	(step @p39 :rule nary_cong :premises (@p38 @p37) :args (@t116))
164.98/165.59	(step @p40 :rule cong :premises (@p39) :args (@t117))
164.98/165.59	(step @p41 :rule beta-reduce :args ((= (_ @t36 @t114) @t117)))
164.98/165.59	(step @p42 :rule trans :premises (@p41 @p40))
164.98/165.59	(step @p43 :rule beta-reduce :args ((= (_ @t118 @t1) @t114)))
164.98/165.59	(step @p44 :rule refl :args (@t1))
164.98/165.59	; WARNING: add trust step for TRUST_THEORY_REWRITE
164.98/165.59	; trust TRUST_THEORY_REWRITE
164.98/165.59	(step @p45 :rule trust :premises () :args ((= @t125 @t118)))
164.98/165.59	(step @p46 :rule ho_cong :premises (@p45 @p44))
164.98/165.59	(step @p47 :rule trans :premises (@p46 @p43))
164.98/165.59	(step @p48 :rule refl :args (@t36))
164.98/165.59	(step @p49 :rule ho_cong :premises (@p48 @p47))
164.98/165.59	(step @p50 :rule trans :premises (@p49 @p42))
164.98/165.59	(step @p51 :rule aci_norm :args ((= (or @t100 (or @t96 @t91) @t85) @t101)))
164.98/165.59	(step @p52 :rule refl :args (@t85))
164.98/165.59	(step @p53 :rule bool-and-de-morgan :args (@t95 @t90 true))
164.98/165.59	(step @p54 :rule refl :args (@t100))
164.98/165.59	(step @p55 :rule nary_cong :premises (@p54 @p53 @p52) :args (@t126))
164.98/165.59	(step @p56 :rule trans :premises (@p55 @p51))
164.98/165.59	(step @p57 :rule cong :premises (@p56) :args ((forall @t50 @t126)))
164.98/165.59	(step @p58 :rule refl :args (@t85))
164.98/165.59	(step @p59 :rule refl :args (@t90))
164.98/165.59	(step @p60 :rule aci_norm :args ((= (or false @t93) @t93)))
164.98/165.59	(step @p61 :rule refl :args (@t93))
164.98/165.59	(step @p62 :rule evaluate :args ((not true)))
164.98/165.59	(step @p63 :rule eq-refl :args (@t92))
164.98/165.59	(step @p64 :rule cong :premises (@p63) :args (@t127))
164.98/165.59	(step @p65 :rule trans :premises (@p64 @p62))
164.98/165.59	(step @p66 :rule nary_cong :premises (@p65 @p61) :args (@t128))
164.98/165.59	(step @p67 :rule trans :premises (@p66 @p60))
164.98/165.59	(step @p68 :rule cong :premises (@p67) :args ((forall @t94 @t128)))
164.98/165.59	(step @p69 :rule quant-var-elim-eq :args ((= (forall @t133 @t132) @t128)))
164.98/165.59	(step @p70 :rule aci_norm :args ((= @t134 @t132)))
164.98/165.59	(step @p71 :rule cong :premises (@p70) :args (@t135))
164.98/165.59	(step @p72 :rule trans :premises (@p71 @p69))
164.98/165.59	(step @p73 :rule cong :premises (@p72) :args (@t136))
164.98/165.59	(step @p74 :rule quant-merge-prenex :args ((= @t136 @t137)))
164.98/165.59	(step @p75 :rule symm :premises (@p74))
164.98/165.59	(step @p76 :rule quant_var_reordering :args ((= @t138 @t137)))
164.98/165.59	(step @p77 :rule trans :premises (@p76 @p75 @p73))
164.98/165.59	(step @p78 :rule trans :premises (@p77 @p68))
164.98/165.59	(step @p79 :rule nary_cong :premises (@p78 @p59) :args ((and @t138 @t90)))
164.98/165.59	(step @p80 :rule alpha_equiv :args (@t110 @t139 @t140))
164.98/165.59	(step @p81 :rule alpha_equiv :args (@t144 @t139 (@list @t129 @t92)))
164.98/165.59	(step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t145))
164.98/165.59	(step @p83 :rule quant-miniscope-and :args ((= (forall @t109 (and @t143 @t108)) @t145)))
164.98/165.59	(step @p84 :rule trans :premises (@p83 @p82))
164.98/165.59	(step @p85 :rule trans :premises (@p84 @p79))
164.98/165.59	(step @p86 :rule bool-or-and-distrib :args (@t142 @t107 true @t105 false))
164.98/165.59	(step @p87 :rule cong :premises (@p86) :args ((forall @t109 (or (and @t142 @t107) @t105))))
164.98/165.59	(step @p88 :rule trans :premises (@p87 @p85))
164.98/165.59	(step @p89 :rule refl :args (@t105))
164.98/165.59	(step @p90 :rule refl :args (@t106))
164.98/165.59	(step @p91 :rule refl :args (@t146))
164.98/165.59	(step @p92 :rule cong :premises (@p91 @p90) :args ((= @t146 @t106)))
164.98/165.59	(step @p93 :rule symm :premises (@p92))
164.98/165.59	(step @p94 :rule eq_resolve :premises (@p91 @p93))
164.98/165.59	(step @p95 :rule cong :premises (@p94) :args (@t147))
164.98/165.59	(step @p96 :rule refl :args (@t142))
164.98/165.59	(step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t148))
164.98/165.59	(step @p98 :rule nary_cong :premises (@p97 @p89) :args (@t149))
164.98/165.59	(step @p99 :rule cong :premises (@p98) :args ((forall @t109 @t149)))
164.98/165.59	(step @p100 :rule trans :premises (@p99 @p88))
164.98/165.59	(step @p101 :rule bool-or-de-morgan :args (@t141 @t146 false))
164.98/165.59	(step @p102 :rule nary_cong :premises (@p101 @p89) :args (@t151))
164.98/165.59	(step @p103 :rule cong :premises (@p102) :args ((forall @t109 @t151)))
164.98/165.59	(step @p104 :rule trans :premises (@p103 @p100))
164.98/165.59	(step @p105 :rule refl :args (@t105))
164.98/165.59	(step @p106 :rule beta-reduce :args ((= @t153 @t150)))
164.98/165.59	(step @p107 :rule cong :premises (@p106) :args (@t154))
164.98/165.59	(step @p108 :rule nary_cong :premises (@p107 @p105) :args (@t155))
164.98/165.59	(step @p109 :rule cong :premises (@p108) :args (@t156))
164.98/165.59	(step @p110 :rule trans :premises (@p109 @p104))
164.98/165.59	(step @p111 :rule cong :premises (@p110) :args (@t157))
164.98/165.59	(step @p112 :rule refl :args (@t100))
164.98/165.59	(step @p113 :rule nary_cong :premises (@p112 @p111 @p58) :args (@t158))
164.98/165.59	(step @p114 :rule cong :premises (@p113) :args (@t159))
164.98/165.59	(step @p115 :rule trans :premises (@p114 @p57))
164.98/165.59	(step @p116 :rule cong :premises (@p115) :args (@t160))
164.98/165.59	(step @p117 :rule beta-reduce :args ((= (_ @t118 @t152) @t160)))
164.98/165.59	(step @p118 :rule trans :premises (@p117 @p116))
164.98/165.59	(step @p119 :rule beta-reduce :args ((= @t161 @t152)))
164.98/165.59	(step @p120 :rule ho_cong :premises (@p45 @p119))
164.98/165.59	(step @p121 :rule trans :premises (@p120 @p118))
164.98/165.59	(step @p122 :rule cong :premises (@p121 @p50) :args (@t162))
164.98/165.59	(step @p123 :rule trans :premises (@p122 @p32))
164.98/165.59	(step @p124 :rule cong :premises (@p123) :args (@t163))
164.98/165.59	(step @p125 :rule cong :premises (@p124) :args ((not @t163)))
164.98/165.59	(step @p126 :rule refl :args (@t85))
164.98/165.59	(step @p127 :rule refl :args (@t11))
164.98/165.59	(step @p128 :rule cong :premises (@p127 @p126) :args ((= @t11 @t85)))
164.98/165.59	(step @p129 :rule symm :premises (@p128))
164.98/165.59	(step @p130 :rule eq_resolve :premises (@p127 @p129))
164.98/165.59	(step @p131 :rule refl :args (@t122))
164.98/165.59	(step @p132 :rule refl :args (@t124))
164.98/165.59	(step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (@t164))
164.98/165.59	(step @p134 :rule cong :premises (@p133) :args ((forall @t50 @t164)))
164.98/165.59	(step @p135 :rule aci_norm :args ((= (or (or @t124 @t122) @t11) @t164)))
164.98/165.59	(step @p136 :rule bool-and-de-morgan :args (@t123 @t121 true))
164.98/165.59	(step @p137 :rule nary_cong :premises (@p136 @p127) :args ((or (not @t165) @t11)))
164.98/165.59	(step @p138 :rule trans :premises (@p137 @p135))
164.98/165.59	(step @p139 :rule bool-impl-elim :args (@t165 @t11))
164.98/165.59	(step @p140 :rule trans :premises (@p139 @p138))
164.98/165.59	(step @p141 :rule cong :premises (@p140) :args ((forall @t50 (=> @t165 @t11))))
164.98/165.59	(step @p142 :rule trans :premises (@p141 @p134))
164.98/165.59	(step @p143 :rule refl :args (@t11))
164.98/165.59	(step @p144 :rule beta-reduce :args ((= (_ @t166 @t10) @t121)))
164.98/165.59	(step @p145 :rule refl :args (@t10))
164.98/165.59	(step @p146 :rule beta-reduce :args ((= @t167 @t166)))
164.98/165.59	(step @p147 :rule ho_cong :premises (@p146 @p145))
164.98/165.59	(step @p148 :rule trans :premises (@p147 @p144))
164.98/165.59	(step @p149 :rule beta-reduce :args ((= @t170 @t123)))
164.98/165.59	(step @p150 :rule nary_cong :premises (@p149 @p148) :args (@t171))
164.98/165.59	(step @p151 :rule cong :premises (@p150 @p143) :args (@t172))
164.98/165.59	(step @p152 :rule cong :premises (@p151) :args ((forall @t50 @t172)))
164.98/165.59	(step @p153 :rule trans :premises (@p152 @p142))
164.98/165.59	(step @p154 :rule refl :args (@t119))
164.98/165.59	(step @p155 :rule refl :args (@t13))
164.98/165.59	(step @p156 :rule cong :premises (@p155 @p154) :args ((= @t13 @t119)))
164.98/165.59	(step @p157 :rule symm :premises (@p156))
164.98/165.59	(step @p158 :rule eq_resolve :premises (@p155 @p157))
164.98/165.59	(step @p159 :rule cong :premises (@p158) :args (@t62))
164.98/165.59	(step @p160 :rule nary_cong :premises (@p159 @p130) :args (@t173))
164.98/165.59	(step @p161 :rule cong :premises (@p160) :args ((forall @t14 @t173)))
164.98/165.59	(step @p162 :rule bool-impl-elim :args (@t13 @t11))
164.98/165.59	(step @p163 :rule cong :premises (@p162) :args (@t15))
164.98/165.59	(step @p164 :rule trans :premises (@p163 @p161))
164.98/165.59	(step @p165 :rule cong :premises (@p164) :args (@t17))
164.98/165.59	(step @p166 :rule trans :premises (@p3 @p165))
164.98/165.59	(step @p167 :rule ho_cong :premises (@p166 @p44))
164.98/165.59	(step @p168 :rule ho_cong :premises (@p167 @p145))
164.98/165.59	(step @p169 :rule refl :args (@t168))
164.98/165.59	(step @p170 :rule refl :args (@t42))
164.98/165.59	(step @p171 :rule cong :premises (@p170 @p169) :args ((= @t42 @t168)))
164.98/165.59	(step @p172 :rule symm :premises (@p171))
164.98/165.59	(step @p173 :rule eq_resolve :premises (@p170 @p172))
164.98/165.59	(step @p174 :rule refl :args (@t169))
164.98/165.59	(step @p175 :rule refl :args (@t43))
164.98/165.59	(step @p176 :rule cong :premises (@p175 @p174) :args ((= @t43 @t169)))
164.98/165.59	(step @p177 :rule symm :premises (@p176))
164.98/165.59	(step @p178 :rule eq_resolve :premises (@p175 @p177))
164.98/165.59	(step @p179 :rule cong :premises (@p178) :args (@t174))
164.98/165.59	(step @p180 :rule nary_cong :premises (@p159 @p179 @p173) :args (@t175))
164.98/165.59	(step @p181 :rule cong :premises (@p180) :args ((forall @t45 @t175)))
164.98/165.59	(step @p182 :rule aci_norm :args ((= (or (or @t62 @t174) @t42) @t175)))
164.98/165.59	(step @p183 :rule bool-and-de-morgan :args (@t13 @t43 true))
164.98/165.59	(step @p184 :rule nary_cong :premises (@p183 @p170) :args ((or (not @t44) @t42)))
164.98/165.59	(step @p185 :rule trans :premises (@p184 @p182))
164.98/165.59	(step @p186 :rule bool-impl-elim :args (@t44 @t42))
164.98/165.59	(step @p187 :rule trans :premises (@p186 @p185))
164.98/165.59	(step @p188 :rule cong :premises (@p187) :args (@t46))
164.98/165.59	(step @p189 :rule trans :premises (@p188 @p181))
164.98/165.59	(step @p190 :rule cong :premises (@p189) :args (@t47))
164.98/165.59	(step @p191 :rule trans :premises (@p15 @p190))
164.98/165.59	(step @p192 :rule ho_cong :premises (@p191 @p145))
164.98/165.59	(step @p193 :rule nary_cong :premises (@p192 @p168) :args (@t48))
164.98/165.59	(step @p194 :rule cong :premises (@p193 @p143) :args (@t49))
164.98/165.59	(step @p195 :rule cong :premises (@p194) :args (@t51))
164.98/165.59	(step @p196 :rule trans :premises (@p195 @p153))
164.98/165.59	(step @p197 :rule cong :premises (@p196) :args (@t52))
164.98/165.59	(step @p198 :rule trans :premises (@p16 @p197))
164.98/165.59	(step @p199 :rule ho_cong :premises (@p198 @p44))
164.98/165.59	(step @p200 :rule ho_cong :premises (@p10 @p199))
164.98/165.59	(step @p201 :rule ho_cong :premises (@p10 @p44))
164.98/165.59	(step @p202 :rule ho_cong :premises (@p198 @p201))
164.98/165.59	(step @p203 :rule cong :premises (@p202 @p200) :args (@t4))
164.98/165.59	(step @p204 :rule cong :premises (@p203) :args (@t6))
164.98/165.59	(step @p205 :rule cong :premises (@p204) :args (@t7))
164.98/165.59	(step @p206 :rule trans :premises (@p205 @p125))
164.98/165.59	(step @p207 :rule eq_resolve :premises (@p1 @p206))
164.98/165.59	(step @p208 :rule refl :args (@t187))
164.98/165.59	(step @p209 :rule bool-double-not-elim :args (@t176))
164.98/165.59	(step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or (not @t188) @t187)))
164.98/165.59	(step @p211 :rule eq-symm :args (@t181 @t185))
164.98/165.59	(step @p212 :rule eq-refl :args (@t184))
164.98/165.59	(step @p213 :rule skolem_intro :args (@t185))
164.98/165.59	(step @p214 :rule refl :args (@t184))
164.98/165.59	(step @p215 :rule cong :premises (@p214 @p213) :args ((= @t184 @t185)))
164.98/165.59	(step @p216 :rule trans :premises (@p215 @p212))
164.98/165.59	(step @p217 :rule true_elim :premises (@p216))
164.98/165.59	(step @p218 :rule eq-refl :args (@t180))
164.98/165.59	(step @p219 :rule skolem_intro :args (@t181))
164.98/165.59	(step @p220 :rule refl :args (@t180))
164.98/165.59	(step @p221 :rule cong :premises (@p220 @p219) :args ((= @t180 @t181)))
164.98/165.59	(step @p222 :rule trans :premises (@p221 @p218))
164.98/165.59	(step @p223 :rule true_elim :premises (@p222))
164.98/165.59	(step @p224 :rule cong :premises (@p223 @p217) :args (@t189))
164.98/165.59	(step @p225 :rule trans :premises (@p224 @p211))
164.98/165.59	(step @p226 :rule cong :premises (@p225) :args (@t190))
164.98/165.59	(step @p227 :rule refl :args (@t188))
164.98/165.59	(step @p228 :rule cong :premises (@p227 @p226) :args ((=> @t188 @t190)))
164.98/165.59	(assume-push @p654 @t188)
164.98/165.59	(step @p230 :rule skolemize :premises (@p207))
164.98/165.59	(step-pop @p654 :rule scope :premises (@p230))
164.98/165.59	(step @p231 :rule process_scope :premises (@p654) :args (@t190))
164.98/165.59	(step @p233 :rule eq_resolve :premises (@p231 @p228))
164.98/165.59	(step @p234 :rule implies_elim :premises (@p233))
164.98/165.59	(step @p235 :rule eq_resolve :premises (@p234 @p210))
164.98/165.59	(step @p236 :rule chain_resolution :premises (@p235 @p207) :args (@t191 (@list @t176)))
164.98/165.59	(step @p237 :rule eq-symm :args (@t195 @t198))
164.98/165.59	(step @p238 :rule eq-refl :args (@t198))
164.98/165.59	(step @p239 :rule beta-reduce :args ((= @t199 @t198)))
164.98/165.59	(step @p240 :rule refl :args (@t198))
164.98/165.59	(step @p241 :rule cong :premises (@p240 @p239) :args ((= @t198 @t199)))
164.98/165.59	(step @p242 :rule trans :premises (@p241 @p238))
164.98/165.59	(step @p243 :rule eq-symm :args (@t199 @t198))
164.98/165.59	(step @p244 :rule trans :premises (@p243 @p242))
164.98/165.59	(step @p245 :rule refl :args (@t192))
164.98/165.59	(step @p246 :rule refl :args (@t193))
164.98/165.59	(step @p247 :rule ho_cong :premises (@p219 @p246 @p245))
164.98/165.59	(step @p248 :rule cong :premises (@p247 @p240) :args ((= @t200 @t198)))
164.98/165.59	(step @p249 :rule trans :premises (@p248 @p244))
164.98/165.59	(step @p250 :rule true_elim :premises (@p249))
164.98/165.59	(step @p251 :rule eq-refl :args (@t195))
164.98/165.59	(step @p252 :rule beta-reduce :args ((= @t201 @t195)))
164.98/165.59	(step @p253 :rule refl :args (@t195))
164.98/165.59	(step @p254 :rule cong :premises (@p253 @p252) :args ((= @t195 @t201)))
164.98/165.59	(step @p255 :rule trans :premises (@p254 @p251))
164.98/165.59	(step @p256 :rule eq-symm :args (@t201 @t195))
164.98/165.59	(step @p257 :rule trans :premises (@p256 @p255))
164.98/165.59	(step @p258 :rule ho_cong :premises (@p213 @p246 @p245))
164.98/165.59	(step @p259 :rule cong :premises (@p258 @p253) :args ((= @t202 @t195)))
164.98/165.59	(step @p260 :rule trans :premises (@p259 @p257))
164.98/165.59	(step @p261 :rule true_elim :premises (@p260))
164.98/165.59	(step @p262 :rule cong :premises (@p261 @p250) :args (@t203))
164.98/165.59	(step @p263 :rule trans :premises (@p262 @p237))
164.98/165.59	(step @p264 :rule cong :premises (@p263) :args (@t204))
164.98/165.59	(step @p265 :rule refl :args (@t186))
164.98/165.59	(step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t205))
164.98/165.59	; WARNING: add trust step for TRUST
164.98/165.59	; trust TRUST THEORY_LEMMA
164.98/165.59	(step @p267 :rule trust :premises () :args (@t205))
164.98/165.59	(step @p268 :rule eq_resolve :premises (@p267 @p266))
164.98/165.59	(step @p269 :rule chain_resolution :premises (@p268 @p236) :args (@t191 (@list @t186)))
164.98/165.59	(step @p270 :rule cnf_or_neg :args (@t198 1))
164.98/165.59	(step @p271 :rule cnf_equiv_neg2 :args (@t206))
164.98/165.59	(step @p272 :rule refl :args (@t216))
164.98/165.59	(step @p273 :rule bool-double-not-elim :args (@t195))
164.98/165.59	(step @p274 :rule nary_cong :premises (@p273 @p272) :args ((or (not @t217) @t216)))
164.98/165.59	(assume-push @p656 @t217)
164.98/165.59	(step @p276 :rule skolemize :premises (@p656))
164.98/165.59	(step-pop @p656 :rule scope :premises (@p276))
164.98/165.59	(step @p277 :rule process_scope :premises (@p656) :args (@t216))
164.98/165.59	(step @p279 :rule implies_elim :premises (@p277))
164.98/165.59	(step @p280 :rule eq_resolve :premises (@p279 @p274))
164.98/165.59	(step @p281 :rule bool-double-not-elim :args (@t213))
164.98/165.59	(step @p282 :rule refl :args (@t215))
164.98/165.59	(step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t215 (not @t214))))
164.98/165.59	(step @p284 :rule cnf_or_neg :args (@t215 0))
164.98/165.59	(step @p285 :rule eq_resolve :premises (@p284 @p283))
164.98/165.59	(step @p286 :rule reordering :premises (@p285) :args ((or @t213 @t215)))
164.98/165.59	(step @p287 :rule bool-double-not-elim :args (@t209))
164.98/165.59	(step @p288 :rule nary_cong :premises (@p282 @p287) :args ((or @t215 (not @t210))))
164.98/165.59	(step @p289 :rule cnf_or_neg :args (@t215 2))
164.98/165.59	(step @p290 :rule eq_resolve :premises (@p289 @p288))
164.98/165.59	(step @p291 :rule reordering :premises (@p290) :args ((or @t209 @t215)))
164.98/165.59	(step @p292 :rule cnf_or_neg :args (@t215 3))
164.98/165.59	(step @p293 :rule alpha_equiv :args (@t209 @t140 @t139))
164.98/165.59	(step @p294 :rule equiv_elim1 :premises (@p293))
164.98/165.59	(assume-push @p658 @t196)
164.98/165.59	(step @p296 :rule instantiate :premises (@p658) :args ((@list @t207)))
164.98/165.59	(step-pop @p658 :rule scope :premises (@p296))
164.98/165.59	(step @p297 :rule process_scope :premises (@p658) :args (@t220))
164.98/165.59	(step @p299 :rule implies_elim :premises (@p297))
164.98/165.59	(step @p300 :rule cnf_or_pos :args (@t220))
164.98/165.59	(step @p301 :rule reordering :premises (@p300) :args ((or @t214 @t208 @t219 (not @t220))))
164.98/165.59	(step @p302 :rule chain_resolution :premises (@p301 @p299 @p294 @p292 @p291 @p286) :args ((@list false false true false false) (@list @t220 @t218 @t208 @t209 @t213)))
164.98/165.59	(step @p303 :rule factoring :premises (@p302))
164.98/165.59	(step @p304 :rule chain_resolution :premises (@p303 @p280 @p271 @p269 @p270) :args (@t221 @t222))
164.98/165.59	(step @p305 :rule factoring :premises (@p304))
164.98/165.59	(step @p306 :rule cnf_or_neg :args (@t198 0))
164.98/165.59	(step @p307 :rule bool-double-not-elim :args (@t211))
164.98/165.59	(step @p308 :rule nary_cong :premises (@p282 @p307) :args ((or @t215 (not @t212))))
164.98/165.59	(step @p309 :rule cnf_or_neg :args (@t215 1))
164.98/165.59	(step @p310 :rule eq_resolve :premises (@p309 @p308))
164.98/165.59	(step @p311 :rule reordering :premises (@p310) :args ((or @t211 @t215)))
164.98/165.59	(step @p312 :rule refl :args (@t224))
164.98/165.59	(step @p313 :rule bool-double-not-elim :args (@t208))
164.98/165.59	(step @p314 :rule refl :args (@t225))
164.98/165.59	(step @p315 :rule nary_cong :premises (@p314 @p313 @p312) :args ((or @t225 (not @t226) @t224)))
164.98/165.59	(assume-push @p660 @t197)
164.98/165.59	(assume-push @p661 @t226)
164.98/165.59	(assume-push @p662 @t226)
164.98/165.59	(assume-push @p663 @t197)
164.98/165.59	(step @p320 :rule false_intro :premises (@p661))
164.98/165.59	(step @p321 :rule cong :premises (@p246 @p660) :args (@t223))
164.98/165.59	(step @p322 :rule trans :premises (@p321 @p320))
164.98/165.59	(step @p323 :rule false_elim :premises (@p322))
164.98/165.59	(step-pop @p663 :rule scope :premises (@p323))
164.98/165.59	(step-pop @p664 :rule scope :premises (@p663))
164.98/165.59	(step @p324 :rule process_scope :premises (@p664) :args (@t224))
164.98/165.59	(step @p327 :rule and_intro :premises (@p661 @p660))
164.98/165.59	(step @p328 :rule modus_ponens :premises (@p327 @p324))
164.98/165.59	(step-pop @p665 :rule scope :premises (@p328))
164.98/165.59	(step-pop @p666 :rule scope :premises (@p665))
164.98/165.59	(step @p329 :rule process_scope :premises (@p666) :args (@t224))
164.98/165.59	(step @p332 :rule implies_elim :premises (@p329))
164.98/165.59	(step @p333 :rule cnf_and_neg :args (@t227))
164.98/165.59	(step @p334 :rule resolution :premises (@p333 @p332) :args (true @t227))
164.98/165.59	(step @p335 :rule eq_resolve :premises (@p334 @p315))
164.98/165.59	(assume-push @p668 @t211)
164.98/165.59	(step @p337 :rule instantiate :premises (@p668) :args ((@list @t193)))
164.98/165.59	(step-pop @p668 :rule scope :premises (@p337))
164.98/165.59	(step @p338 :rule process_scope :premises (@p668) :args (@t223))
164.98/165.59	(step @p340 :rule implies_elim :premises (@p338))
164.98/165.59	(step @p341 :rule chain_resolution :premises (@p340 @p335 @p292 @p311) :args ((@list true true false) (@list @t223 @t208 @t211)))
164.98/165.59	(step @p342 :rule factoring :premises (@p341))
164.98/165.59	(step @p343 :rule chain_resolution :premises (@p342 @p280 @p271 @p269 @p306) :args (@t221 @t222))
164.98/165.59	(step @p344 :rule factoring :premises (@p343))
164.98/165.59	(step @p345 :rule cnf_or_pos :args (@t198))
164.98/165.59	(step @p346 :rule reordering :premises (@p345) :args ((or @t197 @t196 (not @t198))))
164.98/165.59	(step @p347 :rule chain_resolution :premises (@p346 @p344 @p305) :args (@t228 (@list @t197 @t196)))
164.98/165.59	(step @p348 :rule cnf_equiv_neg1 :args (@t206))
164.98/165.59	(step @p349 :rule reordering :premises (@p348) :args ((or @t198 @t195 @t206)))
164.98/165.59	(step @p350 :rule chain_resolution :premises (@p349 @p347 @p269) :args (@t228 (@list @t198 @t206)))
164.98/165.59	(step @p351 :rule aci_norm :args ((= (or @t234 @t232 @t230 @t198) @t235)))
164.98/165.59	(step @p352 :rule refl :args (@t230))
164.98/165.59	(step @p353 :rule refl :args (@t232))
164.98/165.59	(step @p354 :rule refl :args (@t234))
164.98/165.59	(step @p355 :rule nary_cong :premises (@p354 @p353 @p352 @p250) :args (@t236))
164.98/165.59	(step @p356 :rule trans :premises (@p355 @p351))
164.98/165.59	(step @p357 :rule cong :premises (@p253 @p356) :args ((=> @t195 @t236)))
164.98/165.59	(assume-push @p670 @t195)
164.98/165.59	(step @p359 :rule instantiate :premises (@p670) :args ((@list @t181)))
164.98/165.59	(step-pop @p670 :rule scope :premises (@p359))
164.98/165.59	(step @p360 :rule process_scope :premises (@p670) :args (@t236))
164.98/165.59	(step @p362 :rule eq_resolve :premises (@p360 @p357))
164.98/165.59	(step @p363 :rule implies_elim :premises (@p362))
164.98/165.59	(step @p364 :rule chain_resolution :premises (@p363 @p350) :args (@t237 (@list @t195)))
164.98/165.59	(step @p365 :rule bool-double-not-elim :args (@t231))
164.98/165.59	(step @p366 :rule bool-impl-false1 :args (@t232))
164.98/165.59	(step @p367 :rule trans :premises (@p366 @p365))
164.98/165.59	(step @p368 :rule absorb :args ((= (or true @t239) true)))
164.98/165.59	(step @p369 :rule refl :args (@t239))
164.98/165.59	(step @p370 :rule eq-refl :args (@t238))
164.98/165.59	(step @p371 :rule nary_cong :premises (@p370 @p369) :args (@t240))
164.98/165.59	(step @p372 :rule trans :premises (@p371 @p368))
164.98/165.59	(step @p373 :rule beta-reduce :args ((= (_ @t180 @t238 @t238) @t240)))
164.98/165.59	(step @p374 :rule trans :premises (@p373 @p372))
164.98/165.59	(step @p375 :rule refl :args (@t238))
164.98/165.59	(step @p376 :rule ho_cong :premises (@p219 @p375 @p375))
164.98/165.59	(step @p377 :rule bool-eq-true :args (@t241))
164.98/165.59	(step @p378 :rule trans :premises (@p377 @p376 @p374))
164.98/165.59	(step @p379 :rule true_elim :premises (@p378))
164.98/165.59	(step @p380 :rule cong :premises (@p379) :args (@t242))
164.98/165.59	(step @p381 :rule trans :premises (@p380 @p62))
164.98/165.59	(step @p382 :rule cong :premises (@p353 @p381) :args ((=> @t232 @t242)))
164.98/165.59	(step @p383 :rule trans :premises (@p382 @p367))
164.98/165.59	(assume-push @p672 @t232)
164.98/165.59	(step @p385 :rule skolemize :premises (@p672))
164.98/165.59	(step-pop @p672 :rule scope :premises (@p385))
164.98/165.59	(step @p386 :rule process_scope :premises (@p672) :args (@t242))
164.98/165.59	(step @p388 :rule eq_resolve :premises (@p386 @p383))
164.98/165.59	(step @p389 :rule bool-double-not-elim :args (@t247))
164.98/165.59	(step @p390 :rule refl :args (@t256))
164.98/165.59	(step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or @t256 (not @t251))))
164.98/165.59	(step @p392 :rule cnf_or_neg :args (@t256 1))
164.98/165.59	(step @p393 :rule eq_resolve :premises (@p392 @p391))
164.98/165.59	(step @p394 :rule reordering :premises (@p393) :args ((or @t247 @t256)))
164.98/165.59	(step @p395 :rule bool-double-not-elim :args (@t254))
164.98/165.59	(step @p396 :rule nary_cong :premises (@p390 @p395) :args ((or @t256 (not @t255))))
164.98/165.59	(step @p397 :rule cnf_or_neg :args (@t256 0))
164.98/165.59	(step @p398 :rule eq_resolve :premises (@p397 @p396))
164.98/165.59	(step @p399 :rule reordering :premises (@p398) :args ((or @t254 @t256)))
164.98/165.59	(step @p400 :rule cnf_or_neg :args (@t256 2))
164.98/165.59	(step @p401 :rule cnf_or_neg :args (@t256 3))
164.98/165.59	(step @p402 :rule refl :args (@t264))
164.98/165.59	(step @p403 :rule bool-double-not-elim :args (@t249))
164.98/165.59	(step @p404 :rule nary_cong :premises (@p403 @p402) :args ((or (not @t265) @t264)))
164.98/165.59	(assume-push @p674 @t265)
164.98/165.59	(step @p406 :rule skolemize :premises (@p674))
164.98/165.59	(step-pop @p674 :rule scope :premises (@p406))
164.98/165.59	(step @p407 :rule process_scope :premises (@p674) :args (@t264))
164.98/165.59	(step @p409 :rule implies_elim :premises (@p407))
164.98/165.59	(step @p410 :rule eq_resolve :premises (@p409 @p404))
164.98/165.59	(step @p411 :rule bool-double-not-elim :args (@t261))
164.98/165.59	(step @p412 :rule refl :args (@t263))
164.98/165.59	(step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or @t263 (not @t262))))
164.98/165.59	(step @p414 :rule cnf_or_neg :args (@t263 0))
164.98/165.59	(step @p415 :rule eq_resolve :premises (@p414 @p413))
164.98/165.59	(step @p416 :rule reordering :premises (@p415) :args ((or @t261 @t263)))
164.98/165.59	(step @p417 :rule cnf_or_neg :args (@t263 2))
164.98/165.59	(step @p418 :rule bool-double-not-elim :args (@t259))
164.98/165.59	(step @p419 :rule nary_cong :premises (@p412 @p418) :args ((or @t263 (not @t260))))
164.98/165.59	(step @p420 :rule cnf_or_neg :args (@t263 1))
164.98/165.59	(step @p421 :rule eq_resolve :premises (@p420 @p419))
164.98/165.59	(step @p422 :rule reordering :premises (@p421) :args ((or @t259 @t263)))
164.98/165.59	(step @p423 :rule refl :args (@t266))
164.98/165.59	(step @p424 :rule bool-double-not-elim :args (@t250))
164.98/165.59	(step @p425 :rule refl :args (@t267))
164.98/165.59	(step @p426 :rule nary_cong :premises (@p425 @p424 @p423) :args ((or @t267 (not @t268) @t266)))
164.98/165.59	(assume-push @p676 @t253)
164.98/165.59	(assume-push @p677 @t268)
164.98/165.59	(assume-push @p678 @t268)
164.98/165.59	(assume-push @p679 @t253)
164.98/165.59	(step @p431 :rule false_intro :premises (@p677))
164.98/165.59	(step @p432 :rule refl :args (@t243))
164.98/165.59	(step @p433 :rule symm :premises (@p676))
164.98/165.59	(step @p434 :rule cong :premises (@p433 @p432) :args (@t246))
164.98/165.59	(step @p435 :rule trans :premises (@p434 @p431))
164.98/165.59	(step @p436 :rule false_elim :premises (@p435))
164.98/165.59	(step-pop @p679 :rule scope :premises (@p436))
164.98/165.59	(step-pop @p680 :rule scope :premises (@p679))
164.98/165.59	(step @p437 :rule process_scope :premises (@p680) :args (@t266))
164.98/165.59	(step @p440 :rule and_intro :premises (@p677 @p676))
164.98/165.59	(step @p441 :rule modus_ponens :premises (@p440 @p437))
164.98/165.59	(step-pop @p681 :rule scope :premises (@p441))
164.98/165.59	(step-pop @p682 :rule scope :premises (@p681))
164.98/165.59	(step @p442 :rule process_scope :premises (@p682) :args (@t266))
164.98/165.59	(step @p445 :rule implies_elim :premises (@p442))
164.98/165.59	(step @p446 :rule cnf_and_neg :args (@t269))
164.98/165.59	(step @p447 :rule resolution :premises (@p446 @p445) :args (true @t269))
164.98/165.59	(step @p448 :rule eq_resolve :premises (@p447 @p426))
164.98/165.59	(step @p449 :rule reordering :premises (@p448) :args ((or @t250 @t267 @t266)))
164.98/165.59	(step @p450 :rule refl :args (@t271))
164.98/165.59	(step @p451 :rule bool-double-not-elim :args (@t258))
164.98/165.59	(step @p452 :rule nary_cong :premises (@p425 @p451 @p450) :args ((or @t267 @t273 @t271)))
164.98/165.59	(assume-push @p684 @t253)
164.98/165.59	(assume-push @p685 @t272)
164.98/165.59	(assume-push @p686 @t272)
164.98/165.59	(assume-push @p687 @t253)
164.98/165.59	(step @p457 :rule false_intro :premises (@p685))
164.98/165.59	(step @p432 :rule refl :args (@t243))
164.98/165.59	(step @p458 :rule symm :premises (@p684))
164.98/165.59	(step @p459 :rule cong :premises (@p458 @p432) :args (@t270))
164.98/165.59	(step @p460 :rule trans :premises (@p459 @p457))
164.98/165.59	(step @p461 :rule false_elim :premises (@p460))
164.98/165.59	(step-pop @p687 :rule scope :premises (@p461))
164.98/165.59	(step-pop @p688 :rule scope :premises (@p687))
164.98/165.59	(step @p462 :rule process_scope :premises (@p688) :args (@t271))
164.98/165.59	(step @p465 :rule and_intro :premises (@p685 @p684))
164.98/165.59	(step @p466 :rule modus_ponens :premises (@p465 @p462))
164.98/165.59	(step-pop @p689 :rule scope :premises (@p466))
164.98/165.59	(step-pop @p690 :rule scope :premises (@p689))
164.98/165.59	(step @p467 :rule process_scope :premises (@p690) :args (@t271))
164.98/165.59	(step @p470 :rule implies_elim :premises (@p467))
164.98/165.59	(step @p471 :rule cnf_and_neg :args (@t274))
164.98/165.59	(step @p472 :rule resolution :premises (@p471 @p470) :args (true @t274))
164.98/165.59	(step @p473 :rule eq_resolve :premises (@p472 @p452))
164.98/165.59	(step @p474 :rule cnf_or_pos :args (@t247))
164.98/165.59	(step @p475 :rule reordering :premises (@p474) :args ((or @t246 @t245 @t251)))
164.98/165.59	(step @p476 :rule cnf_or_pos :args (@t275))
164.98/165.59	(step @p477 :rule reordering :premises (@p476) :args ((or @t262 @t260 @t270 (not @t275))))
164.98/165.59	(assume-push @p692 @t245)
164.98/165.59	(step @p479 :rule instantiate :premises (@p692) :args (@t276))
164.98/165.59	(step-pop @p692 :rule scope :premises (@p479))
164.98/165.59	(step @p480 :rule process_scope :premises (@p692) :args (@t275))
164.98/165.59	(step @p482 :rule implies_elim :premises (@p480))
164.98/165.59	(step @p483 :rule chain_resolution :premises (@p482 @p477 @p475 @p473 @p449) :args ((@list true false true true) (@list @t275 @t245 @t270 @t246)))
164.98/165.59	(step @p484 :rule factoring :premises (@p483))
164.98/165.59	(step @p485 :rule reordering :premises (@p484) :args ((or @t250 @t251 @t267 @t262 @t260 @t258)))
164.98/165.59	(step @p486 :rule cnf_or_pos :args (@t254))
164.98/165.59	(step @p487 :rule reordering :premises (@p486) :args ((or @t253 @t252 @t255)))
164.98/165.59	(assume-push @p694 @t252)
164.98/165.59	(step @p489 :rule instantiate :premises (@p694) :args (@t276))
164.98/165.59	(step-pop @p694 :rule scope :premises (@p489))
164.98/165.59	(step @p490 :rule process_scope :premises (@p694) :args (@t278))
164.98/165.59	(step @p492 :rule implies_elim :premises (@p490))
164.98/165.59	(step @p493 :rule cnf_or_pos :args (@t278))
164.98/165.59	(step @p494 :rule reordering :premises (@p493) :args ((or @t262 @t260 @t277 (not @t278))))
164.98/165.59	(step @p495 :rule refl :args (@t279))
164.98/165.59	(step @p496 :rule nary_cong :premises (@p423 @p451 @p495) :args ((or @t266 @t273 @t279)))
164.98/165.59	(assume-push @p696 @t277)
164.98/165.59	(assume-push @p697 @t246)
164.98/165.59	(assume-push @p698 @t272)
164.98/165.59	(step @p500 :rule evaluate :args ((= false true)))
164.98/165.59	(step @p501 :rule true_intro :premises (@p696))
164.98/165.59	(step @p502 :rule symm :premises (@p697))
164.98/165.59	(step @p503 :rule refl :args (@t248))
164.98/165.59	(step @p504 :rule cong :premises (@p503 @p502) :args (@t258))
164.98/165.59	(step @p505 :rule false_intro :premises (@p698))
164.98/165.59	(step @p506 :rule symm :premises (@p505))
164.98/165.59	(step @p507 :rule trans :premises (@p506 @p504 @p501))
164.98/165.59	(step @p508 false :rule eq_resolve :premises (@p507 @p500))
164.98/165.59	(step-pop @p698 :rule scope :premises (@p508))
164.98/165.59	(step-pop @p699 :rule scope :premises (@p698))
164.98/165.59	(step-pop @p700 :rule scope :premises (@p699))
164.98/165.59	(step @p509 :rule process_scope :premises (@p700) :args (false))
164.98/165.59	(assume-push @p702 @t246)
164.98/165.59	(assume-push @p703 @t272)
164.98/165.59	(assume-push @p704 @t277)
164.98/165.59	(step @p516 :rule and_intro :premises (@p704 @p702 @p703))
164.98/165.59	(step-pop @p704 :rule scope :premises (@p516))
164.98/165.59	(step-pop @p705 :rule scope :premises (@p704))
164.98/165.59	(step-pop @p706 :rule scope :premises (@p705))
164.98/165.59	(step @p517 :rule process_scope :premises (@p706) :args (@t280))
164.98/165.59	(step @p521 :rule implies_elim :premises (@p517))
164.98/165.59	(step @p522 :rule resolution :premises (@p521 @p509) :args (true @t280))
164.98/165.59	(step @p523 :rule not_and :premises (@p522))
164.98/165.59	(step @p524 :rule eq_resolve :premises (@p523 @p496))
164.98/165.59	(step @p525 :rule cnf_or_pos :args (@t281))
164.98/165.59	(step @p526 :rule reordering :premises (@p525) :args ((or @t258 @t271 @t279 (not @t281))))
164.98/165.59	(assume-push @p708 @t261)
164.98/165.59	(step @p528 :rule instantiate :premises (@p708) :args ((@list @t248 @t244 @t243)))
164.98/165.59	(step-pop @p708 :rule scope :premises (@p528))
164.98/165.59	(step @p529 :rule process_scope :premises (@p708) :args (@t281))
164.98/165.59	(step @p531 :rule implies_elim :premises (@p529))
164.98/165.59	(step @p532 :rule chain_resolution :premises (@p531 @p526 @p477 @p482 @p475 @p524) :args ((@list true false false false true) (@list @t281 @t270 @t275 @t245 @t246)))
164.98/165.59	(step @p533 :rule factoring :premises (@p532))
164.98/165.59	(step @p534 :rule chain_resolution :premises (@p533 @p494 @p492 @p487 @p485) :args ((@list false false false true) (@list @t277 @t278 @t252 @t253)))
164.98/165.59	(step @p535 :rule factoring :premises (@p534))
164.98/165.59	(step @p536 :rule chain_resolution :premises (@p535 @p422 @p417 @p416) :args ((@list false true false) (@list @t259 @t258 @t261)))
164.98/165.59	(step @p537 :rule factoring :premises (@p536))
164.98/165.59	(step @p538 :rule chain_resolution :premises (@p537 @p410 @p401 @p400 @p399 @p394) :args ((@list true true true false false) (@list @t263 @t249 @t250 @t254 @t247)))
164.98/165.59	(step @p539 :rule factoring :premises (@p538))
164.98/165.59	(step @p540 :rule refl :args (@t282))
164.98/165.59	(step @p541 :rule bool-double-not-elim :args (@t233))
164.98/165.59	(step @p542 :rule nary_cong :premises (@p541 @p540) :args ((or (not @t234) @t282)))
164.98/165.59	(step @p543 :rule aci_norm :args ((= (or @t255 @t251 @t283) @t256)))
164.98/165.59	(step @p544 :rule eq-refl :args (@t283))
164.98/165.59	(step @p545 :rule refl :args (@t283))
164.98/165.59	(step @p546 :rule beta-reduce :args (@t284))
164.98/165.59	(step @p547 :rule cong :premises (@p546 @p545) :args (@t284))
164.98/165.59	(step @p548 :rule trans :premises (@p547 @p544))
164.98/165.59	(step @p432 :rule refl :args (@t243))
164.98/165.59	(step @p503 :rule refl :args (@t248))
164.98/165.59	(step @p549 :rule ho_cong :premises (@p219 @p503 @p432))
164.98/165.59	(step @p550 :rule cong :premises (@p549 @p545) :args ((= @t285 @t283)))
164.98/165.59	(step @p551 :rule trans :premises (@p550 @p548))
164.98/165.59	(step @p552 :rule true_elim :premises (@p551))
164.98/165.59	(step @p553 :rule eq-refl :args (@t247))
164.98/165.59	(step @p554 :rule refl :args (@t247))
164.98/165.59	(step @p555 :rule beta-reduce :args (@t286))
164.98/165.59	(step @p556 :rule cong :premises (@p555 @p554) :args (@t286))
164.98/165.59	(step @p557 :rule trans :premises (@p556 @p553))
164.98/165.59	(step @p558 :rule refl :args (@t244))
164.98/165.59	(step @p559 :rule ho_cong :premises (@p219 @p558 @p432))
164.98/165.59	(step @p560 :rule cong :premises (@p559 @p554) :args ((= @t287 @t247)))
164.98/165.59	(step @p561 :rule trans :premises (@p560 @p557))
164.98/165.59	(step @p562 :rule true_elim :premises (@p561))
164.98/165.59	(step @p563 :rule cong :premises (@p562) :args (@t288))
164.98/165.59	(step @p564 :rule eq-refl :args (@t254))
164.98/165.59	(step @p565 :rule refl :args (@t254))
164.98/165.59	(step @p566 :rule beta-reduce :args (@t289))
164.98/165.59	(step @p567 :rule cong :premises (@p566 @p565) :args (@t289))
164.98/165.59	(step @p568 :rule trans :premises (@p567 @p564))
164.98/165.59	(step @p569 :rule ho_cong :premises (@p219 @p503 @p558))
164.98/165.59	(step @p570 :rule cong :premises (@p569 @p565) :args ((= @t290 @t254)))
164.98/165.59	(step @p571 :rule trans :premises (@p570 @p568))
164.98/165.59	(step @p572 :rule true_elim :premises (@p571))
164.98/165.59	(step @p573 :rule cong :premises (@p572) :args (@t291))
164.98/165.59	(step @p574 :rule nary_cong :premises (@p573 @p563 @p552) :args (@t292))
164.98/165.59	(step @p575 :rule trans :premises (@p574 @p543))
164.98/165.59	(step @p576 :rule cong :premises (@p575) :args (@t293))
164.98/165.59	(step @p577 :rule cong :premises (@p354 @p576) :args ((=> @t234 @t293)))
164.98/165.59	(assume-push @p710 @t234)
164.98/165.59	(step @p579 :rule skolemize :premises (@p710))
164.98/165.59	(step-pop @p710 :rule scope :premises (@p579))
164.98/165.59	(step @p580 :rule process_scope :premises (@p710) :args (@t293))
164.98/165.59	(step @p582 :rule eq_resolve :premises (@p580 @p577))
164.98/165.59	(step @p583 :rule implies_elim :premises (@p582))
164.98/165.59	(step @p584 :rule eq_resolve :premises (@p583 @p542))
164.98/165.59	(step @p585 :rule chain_resolution :premises (@p584 @p539) :args (@t237 (@list @t256)))
164.98/165.59	(step @p586 :rule cnf_or_pos :args (@t235))
164.98/165.59	(step @p587 :rule reordering :premises (@p586) :args ((or @t197 @t196 @t234 @t232 @t230 (not @t235))))
164.98/165.59	(step @p588 :rule chain_resolution :premises (@p587 @p344 @p305 @p585 @p388 @p364) :args ((@list true true false false false) (@list @t197 @t196 @t233 @t231 @t235)))
164.98/165.59	(step @p589 :rule refl :args (@t301))
164.98/165.59	(step @p590 :rule bool-double-not-elim :args (@t229))
164.98/165.59	(step @p591 :rule nary_cong :premises (@p590 @p589) :args ((or (not @t230) @t301)))
164.98/165.59	(step @p592 :rule aci_norm :args ((= (or @t299 @t302) @t300)))
164.98/165.59	(step @p593 :rule eq-refl :args (@t302))
164.98/165.59	(step @p594 :rule refl :args (@t302))
164.98/165.59	(step @p595 :rule beta-reduce :args (@t303))
164.98/165.59	(step @p596 :rule cong :premises (@p595 @p594) :args (@t303))
164.98/165.59	(step @p597 :rule trans :premises (@p596 @p593))
164.98/165.59	(step @p598 :rule refl :args (@t294))
164.98/165.59	(step @p599 :rule refl :args (@t295))
164.98/165.59	(step @p600 :rule ho_cong :premises (@p219 @p599 @p598))
164.98/165.59	(step @p601 :rule cong :premises (@p600 @p594) :args ((= @t304 @t302)))
164.98/165.59	(step @p602 :rule trans :premises (@p601 @p597))
164.98/165.59	(step @p603 :rule true_elim :premises (@p602))
164.98/165.59	(step @p604 :rule refl :args (@t299))
164.98/165.59	(step @p605 :rule nary_cong :premises (@p604 @p603) :args (@t305))
164.98/165.59	(step @p606 :rule trans :premises (@p605 @p592))
164.98/165.59	(step @p607 :rule cong :premises (@p606) :args (@t306))
164.98/165.59	(step @p608 :rule cong :premises (@p352 @p607) :args ((=> @t230 @t306)))
164.98/165.59	(assume-push @p712 @t230)
164.98/165.59	(step @p610 :rule skolemize :premises (@p712))
164.98/165.59	(step-pop @p712 :rule scope :premises (@p610))
164.98/165.59	(step @p611 :rule process_scope :premises (@p712) :args (@t306))
164.98/165.59	(step @p613 :rule eq_resolve :premises (@p611 @p608))
164.98/165.59	(step @p614 :rule implies_elim :premises (@p613))
164.98/165.59	(step @p615 :rule eq_resolve :premises (@p614 @p591))
164.98/165.59	(step @p616 :rule chain_resolution :premises (@p615 @p588) :args (@t191 (@list @t229)))
164.98/165.59	(step @p617 :rule cnf_or_neg :args (@t300 2))
164.98/165.59	(step @p618 :rule chain_resolution :premises (@p617 @p616) :args (@t191 @t307))
164.98/165.59	(step @p619 :rule refl :args (@t313))
164.98/165.59	(step @p620 :rule bool-double-not-elim :args (@t296))
164.98/165.59	(step @p621 :rule nary_cong :premises (@p620 @p619) :args ((or (not @t314) @t313)))
164.98/165.59	(assume-push @p714 @t314)
164.98/165.59	(step @p623 :rule skolemize :premises (@p714))
164.98/165.59	(step-pop @p714 :rule scope :premises (@p623))
164.98/165.59	(step @p624 :rule process_scope :premises (@p714) :args (@t313))
164.98/165.59	(step @p626 :rule implies_elim :premises (@p624))
164.98/165.59	(step @p627 :rule eq_resolve :premises (@p626 @p621))
164.98/165.59	(step @p628 :rule chain_resolution :premises (@p627 @p618) :args (@t191 (@list @t296)))
164.98/165.59	(step @p629 :rule bool-double-not-elim :args (@t310))
164.98/165.59	(step @p630 :rule refl :args (@t312))
164.98/165.59	(step @p631 :rule nary_cong :premises (@p630 @p629) :args ((or @t312 (not @t311))))
164.98/165.59	(step @p632 :rule cnf_or_neg :args (@t312 1))
164.98/165.59	(step @p633 :rule eq_resolve :premises (@p632 @p631))
164.98/165.59	(step @p634 :rule reordering :premises (@p633) :args ((or @t310 @t312)))
164.98/165.59	(step @p635 :rule chain_resolution :premises (@p634 @p628) :args (@t191 @t315))
164.98/165.59	(step @p636 :rule cnf_or_neg :args (@t312 2))
164.98/165.59	(step @p637 :rule chain_resolution :premises (@p636 @p628) :args (@t191 @t315))
164.98/165.59	(step @p638 :rule bool-double-not-elim :args (@t298))
164.98/165.59	(step @p639 :rule refl :args (@t300))
164.98/165.59	(step @p640 :rule nary_cong :premises (@p639 @p638) :args ((or @t300 (not @t299))))
164.98/165.59	(step @p641 :rule cnf_or_neg :args (@t300 0))
164.98/165.59	(step @p642 :rule eq_resolve :premises (@p641 @p640))
164.98/165.59	(step @p643 :rule reordering :premises (@p642) :args ((or @t298 @t300)))
164.98/165.59	(step @p644 :rule chain_resolution :premises (@p643 @p616) :args (@t191 @t307))
164.98/165.59	(step @p645 :rule cnf_or_pos :args (@t316))
164.98/165.59	(step @p646 :rule reordering :premises (@p645) :args ((or @t299 @t309 (not @t316))))
164.98/165.59	(step @p647 :rule chain_resolution :premises (@p646 @p644 @p637) :args ((@list false true) (@list @t298 @t309)))
164.98/165.59	(assume-push @p716 @t310)
164.98/165.59	(step @p649 :rule instantiate :premises (@p716) :args ((@list @t295 @t294)))
164.98/165.59	(step-pop @p716 :rule scope :premises (@p649))
164.98/165.59	(step @p650 :rule process_scope :premises (@p716) :args (@t316))
164.98/165.59	(step @p652 :rule implies_elim :premises (@p650))
164.98/165.59	(step @p653 false :rule chain_resolution :premises (@p652 @p647 @p635) :args ((@list true false) (@list @t316 @t310)))
164.98/165.59	)
164.98/165.59	% SZS output end Proof
164.98/165.59	% cvc5 exiting
164.98/165.59	EOF