0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.34	% Computer : n029.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 21:47:52 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.50	%----Proving TH0
121.56/121.79	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
121.56/121.79	--- 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...
121.56/121.79	--- 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...
121.56/121.79	--- Run --ho-elim --full-saturate-quant at 14s...
121.56/121.79	% SZS status Theorem
121.56/121.79	% SZS output start Proof
121.56/121.79	(
121.56/121.79	(declare-type $$unsorted ())
121.56/121.79	(define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))
121.56/121.79	(define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))
121.56/121.79	(define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3)))))))
121.56/121.79	(define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1)))))))
121.56/121.79	(define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))
121.56/121.79	(define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
121.56/121.79	(define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1)))))))
121.56/121.79	(define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1)))))))
121.56/121.79	(define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
121.56/121.79	(define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1))))))))
121.56/121.79	(define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1)))))))))
121.56/121.79	(define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
121.56/121.79	(define tptp.trans () (let ((_let_1 (@var "Z" $$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))))))))))
121.56/121.79	(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)))))))))
121.56/121.79	(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))))))
121.56/121.79	(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))))))
121.56/121.79	(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)))))
121.56/121.79	(define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1)))))
121.56/121.79	(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))))))))
121.56/121.79	(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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1))))))))))))))))
121.56/121.79	(define tptp.ind () (let ((_let_1 (@var "X" $$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)))))))))))
121.56/121.79	(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))))))))
121.56/121.79	(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)))))))
121.56/121.79	(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))))))))
121.56/121.79	(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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1))))))))))
121.56/121.79	(define tptp.lconfl () (let ((_let_1 (@var "Y" $$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))))))))))
121.56/121.79	(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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))
121.56/121.79	(define tptp.confl () (let ((_let_1 (@var "Y" $$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))))))))))
121.56/121.79	(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))))))))
121.56/121.79	(define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool)))
121.56/121.79	(define @t2 () (_ tptp.tc @t1))
121.56/121.79	(define @t3 () (=> (_ tptp.so @t1) (_ tptp.so @t2)))
121.56/121.79	(define @t4 () (@list @t1))
121.56/121.79	(define @t5 () (forall @t4 @t3))
121.56/121.79	(define @t6 () (not @t5))
121.56/121.79	(define @t7 () (@var "Y" $$unsorted))
121.56/121.79	(define @t8 () (@var "X" $$unsorted))
121.56/121.79	(define @t9 () (@var "S" (-> $$unsorted $$unsorted Bool)))
121.56/121.79	(define @t10 () (_ (_ @t9 @t8) @t7))
121.56/121.79	(define @t11 () (_ @t1 @t8))
121.56/121.79	(define @t12 () (_ @t11 @t7))
121.56/121.79	(define @t13 () (@list @t8 @t7))
121.56/121.79	(define @t14 () (forall @t13 (=> @t12 @t10)))
121.56/121.79	(define @t15 () (@list @t1 @t9))
121.56/121.79	(define @t16 () (lambda @t15 @t14))
121.56/121.79	(define @t17 () (_ @t1 @t7))
121.56/121.79	(define @t18 () (_ @t17 @t8))
121.56/121.79	(define @t19 () (@list @t1 @t8 @t7))
121.56/121.79	(define @t20 () (lambda @t19 @t18))
121.56/121.79	(define @t21 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))
121.56/121.79	(define @t22 () (_ @t21 @t1))
121.56/121.79	(define @t23 () (@list @t21))
121.56/121.79	(define @t24 () (lambda @t23 (forall @t4 (= (_ @t21 @t22) @t22))))
121.56/121.79	(define @t25 () (_ tptp.subrel @t1))
121.56/121.79	(define @t26 () (lambda @t23 (forall @t4 (_ @t25 @t22))))
121.56/121.79	(define @t27 () (_ @t25 @t9))
121.56/121.79	(define @t28 () (lambda @t23 (forall @t15 (=> @t27 (_ (_ tptp.subrel @t22) (_ @t21 @t9))))))
121.56/121.79	(define @t29 () (_ @t11 @t8))
121.56/121.79	(define @t30 () (@list @t8))
121.56/121.79	(define @t31 () (lambda @t4 (forall @t30 @t29)))
121.56/121.79	(define @t32 () (lambda @t4 (forall @t30 (not @t29))))
121.56/121.79	(define @t33 () (= @t8 @t7))
121.56/121.79	(define @t34 () (lambda @t19 (or @t33 @t12)))
121.56/121.79	(define @t35 () (lambda @t4 (forall @t13 (=> @t12 @t18))))
121.56/121.79	(define @t36 () (lambda @t4 (forall @t13 (=> (and @t12 @t18) @t33))))
121.56/121.79	(define @t37 () (not @t18))
121.56/121.79	(define @t38 () (forall @t13 (=> @t12 @t37)))
121.56/121.79	(define @t39 () (lambda @t4 @t38))
121.56/121.79	(define @t40 () (lambda @t19 (or @t18 @t12)))
121.56/121.79	(define @t41 () (@var "Z" $$unsorted))
121.56/121.79	(define @t42 () (_ @t11 @t41))
121.56/121.79	(define @t43 () (_ @t17 @t41))
121.56/121.79	(define @t44 () (and @t12 @t43))
121.56/121.79	(define @t45 () (@list @t8 @t7 @t41))
121.56/121.79	(define @t46 () (forall @t45 (=> @t44 @t42)))
121.56/121.79	(define @t47 () (lambda @t4 @t46))
121.56/121.79	(define @t48 () (and (_ tptp.trans @t9) @t27))
121.56/121.79	(define @t49 () (=> @t48 @t10))
121.56/121.79	(define @t50 () (@list @t9))
121.56/121.79	(define @t51 () (forall @t50 @t49))
121.56/121.79	(define @t52 () (lambda @t19 @t51))
121.56/121.79	(define @t53 () (@var "__flatten_var_1" $$unsorted))
121.56/121.79	(define @t54 () (@var "__flatten_var_0" $$unsorted))
121.56/121.79	(define @t55 () (_ tptp.rc @t2))
121.56/121.79	(define @t56 () (@list @t1 @t54 @t53))
121.56/121.79	(define @t57 () (lambda @t56 (_ (_ @t55 @t54) @t53)))
121.56/121.79	(define @t58 () (lambda @t56 (_ (_ (_ tptp.sc @t55) @t54) @t53)))
121.56/121.79	(define @t59 () (_ tptp.trans @t1))
121.56/121.79	(define @t60 () (lambda @t4 (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t59)))
121.56/121.79	(define @t61 () (and (_ tptp.asymm @t1) @t59))
121.56/121.79	(define @t62 () (lambda @t4 @t61))
121.56/121.79	(define @t63 () (lambda @t4 (forall @t13 (or @t33 @t12 @t18))))
121.56/121.79	(define @t64 () (not @t12))
121.56/121.79	(define @t65 () (@var "A" (-> $$unsorted Bool)))
121.56/121.79	(define @t66 () (@list @t7))
121.56/121.79	(define @t67 () (_ @t65 @t8))
121.56/121.79	(define @t68 () (lambda @t4 (forall (@list @t65) (=> (exists @t30 @t67) (exists @t30 (and @t67 (forall @t66 (=> (_ @t65 @t7) @t64))))))))
121.56/121.79	(define @t69 () (@var "P" (-> $$unsorted Bool)))
121.56/121.79	(define @t70 () (_ @t69 @t8))
121.56/121.79	(define @t71 () (lambda @t4 (forall (@list @t69) (=> (forall @t30 (=> (forall @t66 (=> (_ (_ @t2 @t8) @t7) (_ @t69 @t7))) @t70)) (forall @t30 @t70)))))
121.56/121.79	(define @t72 () (lambda (@list @t1 @t8) (not (exists @t66 @t12))))
121.56/121.79	(define @t73 () (_ tptp.trc @t1))
121.56/121.79	(define @t74 () (_ @t73 @t7))
121.56/121.79	(define @t75 () (lambda @t19 (and (_ @t74 @t8) (_ (_ tptp.innf @t1) @t8))))
121.56/121.79	(define @t76 () (lambda @t4 (forall @t30 (exists @t66 (_ (_ (_ tptp.nfof @t1) @t7) @t8)))))
121.56/121.79	(define @t77 () (_ @t73 @t8))
121.56/121.79	(define @t78 () (_ @t77 @t41))
121.56/121.79	(define @t79 () (lambda @t19 (exists (@list @t41) (and @t78 (_ @t74 @t41)))))
121.56/121.79	(define @t80 () (_ tptp.join @t1))
121.56/121.79	(define @t81 () (_ (_ @t80 @t41) @t7))
121.56/121.79	(define @t82 () (lambda @t4 (forall @t45 (=> (and @t42 @t12) @t81))))
121.56/121.79	(define @t83 () (_ @t77 @t7))
121.56/121.79	(define @t84 () (lambda @t4 (forall @t45 (=> (and @t42 @t83) @t81))))
121.56/121.79	(define @t85 () (lambda @t4 (forall @t45 (=> (and @t78 @t83) @t81))))
121.56/121.79	(define @t86 () (lambda @t4 (forall @t13 (=> (_ (_ (_ tptp.trsc @t1) @t8) @t7) (_ (_ @t80 @t8) @t7)))))
121.56/121.79	(define @t87 () (@var "BOUND_VARIABLE_8797" $$unsorted))
121.56/121.79	(define @t88 () (@var "BOUND_VARIABLE_8793" $$unsorted))
121.56/121.79	(define @t89 () (@var "BOUND_VARIABLE_8831" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
121.56/121.79	(define @t90 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
121.56/121.79	(define @t91 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
121.56/121.79	(define @t92 () (@var "BOUND_VARIABLE_7609" $$unsorted))
121.56/121.79	(define @t93 () (@var "BOUND_VARIABLE_7607" $$unsorted))
121.56/121.79	(define @t94 () (@var "BOUND_VARIABLE_8845" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
121.56/121.79	(define @t95 () (not (_ @t91 (_ @t90 @t94 @t93) @t92)))
121.56/121.79	(define @t96 () (@list @t93 @t92))
121.56/121.79	(define @t97 () (@var "BOUND_VARIABLE_8719" $$unsorted))
121.56/121.79	(define @t98 () (@var "BOUND_VARIABLE_7618" $$unsorted))
121.56/121.79	(define @t99 () (_ @t90 @t89 @t98))
121.56/121.79	(define @t100 () (@var "BOUND_VARIABLE_7620" $$unsorted))
121.56/121.79	(define @t101 () (@list @t98 @t100 @t97))
121.56/121.79	(define @t102 () (@var "BOUND_VARIABLE_8795" $$unsorted))
121.56/121.79	(define @t103 () (@var "BOUND_VARIABLE_8869" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
121.56/121.79	(define @t104 () (_ @t91 (_ @t90 @t103 @t93) @t92))
121.56/121.79	(define @t105 () (not (forall @t96 (or @t95 @t104))))
121.56/121.79	(define @t106 () (@var "BOUND_VARIABLE_8703" $$unsorted))
121.56/121.79	(define @t107 () (_ @t90 @t103 @t98))
121.56/121.79	(define @t108 () (_ @t90 @t103 @t100))
121.56/121.79	(define @t109 () (not (_ @t91 @t107 @t100)))
121.56/121.79	(define @t110 () (@list @t98 @t100 @t106))
121.56/121.79	(define @t111 () (not (forall @t110 (or @t109 (not (_ @t91 @t108 @t106)) (_ @t91 @t107 @t106)))))
121.56/121.79	(define @t112 () (@list @t103))
121.56/121.79	(define @t113 () (@var "BOUND_VARIABLE_8736" $$unsorted))
121.56/121.79	(define @t114 () (@list @t98 @t100 @t113))
121.56/121.79	(define @t115 () (not (forall @t114 (or @t109 (not (_ @t91 @t108 @t113)) (_ @t91 @t107 @t113)))))
121.56/121.79	(define @t116 () (@var "BOUND_VARIABLE_8780" $$unsorted))
121.56/121.79	(define @t117 () (@var "BOUND_VARIABLE_8782" $$unsorted))
121.56/121.79	(define @t118 () (@list @t98 @t100 @t41))
121.56/121.79	(define @t119 () (not (forall @t118 (or @t109 (not (_ @t91 @t108 @t41)) (_ @t91 @t107 @t41)))))
121.56/121.79	(define @t120 () (_ @t90 @t94 @t8))
121.56/121.79	(define @t121 () (_ @t90 @t94 @t7))
121.56/121.79	(define @t122 () (not (_ @t91 @t120 @t7)))
121.56/121.79	(define @t123 () (forall (@list @t94 @t116 @t117 @t88 @t102 @t87 @t89) (or (not (forall @t13 (or @t122 (not (_ @t91 @t121 @t8))))) (not (forall @t45 (or @t122 (not (_ @t91 @t121 @t41)) (_ @t91 @t120 @t41)))) (and (or (not (forall @t112 (or @t119 @t105 (_ @t91 (_ @t90 @t103 @t116) @t117)))) (not (forall @t112 (or @t119 @t105 (_ @t91 (_ @t90 @t103 @t117) @t116))))) (or (not (forall @t112 (or @t115 @t105 (_ @t91 (_ @t90 @t103 @t88) @t102)))) (not (forall @t112 (or @t111 @t105 (_ @t91 (_ @t90 @t103 @t102) @t87)))) (not (forall @t101 (or (not (_ @t91 @t99 @t100)) (not (_ @t91 (_ @t90 @t89 @t100) @t97)) (_ @t91 @t99 @t97)))) (not (forall @t96 (or @t95 (_ @t91 (_ @t90 @t89 @t93) @t92)))) (_ @t91 (_ @t90 @t89 @t88) @t87))))))
121.56/121.79	(define @t124 () (@var "BOUND_VARIABLE_8799" (-> $$unsorted $$unsorted Bool)))
121.56/121.79	(define @t125 () (not (_ @t1 @t93 @t92)))
121.56/121.79	(define @t126 () (not (forall @t96 (or @t125 (_ @t9 @t93 @t92)))))
121.56/121.79	(define @t127 () (not (_ @t9 @t98 @t100)))
121.56/121.79	(define @t128 () (not (forall @t110 (or @t127 (not (_ @t9 @t100 @t106)) (_ @t9 @t98 @t106)))))
121.56/121.79	(define @t129 () (not (forall @t114 (or @t127 (not (_ @t9 @t100 @t113)) (_ @t9 @t98 @t113)))))
121.56/121.79	(define @t130 () (or (not (forall @t50 (or @t129 @t126 (_ @t9 @t88 @t102)))) (not (forall @t50 (or @t128 @t126 (_ @t9 @t102 @t87)))) (not (forall @t101 (or (not (_ @t124 @t98 @t100)) (not (_ @t124 @t100 @t97)) (_ @t124 @t98 @t97)))) (not (forall @t96 (or @t125 (_ @t124 @t93 @t92)))) (_ @t124 @t88 @t87)))
121.56/121.79	(define @t131 () (forall @t118 (or @t127 (not (_ @t9 @t100 @t41)) (_ @t9 @t98 @t41))))
121.56/121.79	(define @t132 () (not @t131))
121.56/121.79	(define @t133 () (or (not (forall @t50 (or @t132 @t126 (_ @t9 @t116 @t117)))) (not (forall @t50 (or @t132 @t126 (_ @t9 @t117 @t116))))))
121.56/121.79	(define @t134 () (and @t133 @t130))
121.56/121.79	(define @t135 () (_ @t1 @t8 @t41))
121.56/121.79	(define @t136 () (_ @t1 @t7 @t41))
121.56/121.79	(define @t137 () (_ @t1 @t8 @t7))
121.56/121.79	(define @t138 () (not @t137))
121.56/121.79	(define @t139 () (forall @t45 (or @t138 (not @t136) @t135)))
121.56/121.79	(define @t140 () (not @t139))
121.56/121.79	(define @t141 () (_ @t1 @t7 @t8))
121.56/121.79	(define @t142 () (forall @t13 (or @t138 (not @t141))))
121.56/121.79	(define @t143 () (not @t142))
121.56/121.79	(define @t144 () (or @t143 @t140 @t134))
121.56/121.79	(define @t145 () (forall (@list @t1 @t116 @t117 @t88 @t102 @t87 @t124) @t144))
121.56/121.79	(define @t146 () (@list @t116 @t117 @t88 @t102 @t87 @t124))
121.56/121.79	(define @t147 () (forall @t146 @t144))
121.56/121.79	(define @t148 () (forall (@list @t88 @t102 @t87 @t124) @t130))
121.56/121.79	(define @t149 () (@var "BOUND_VARIABLE_8750" (-> $$unsorted $$unsorted Bool)))
121.56/121.79	(define @t150 () (forall @t146 @t130))
121.56/121.79	(define @t151 () (forall (@list @t116 @t117) @t133))
121.56/121.79	(define @t152 () (forall @t146 @t133))
121.56/121.79	(define @t153 () (and @t152 @t150))
121.56/121.79	(define @t154 () (forall @t146 @t134))
121.56/121.79	(define @t155 () (or @t143 @t140 @t154))
121.56/121.79	(define @t156 () (_ @t149 @t8 @t41))
121.56/121.79	(define @t157 () (not (forall @t96 (or @t125 (_ @t149 @t93 @t92)))))
121.56/121.79	(define @t158 () (not (forall @t101 (or (not (_ @t149 @t98 @t100)) (not (_ @t149 @t100 @t97)) (_ @t149 @t98 @t97)))))
121.56/121.79	(define @t159 () (_ @t9 @t7 @t41))
121.56/121.79	(define @t160 () (forall @t50 (or @t128 @t126 @t159)))
121.56/121.79	(define @t161 () (not @t160))
121.56/121.79	(define @t162 () (_ @t9 @t8 @t7))
121.56/121.79	(define @t163 () (not (forall @t50 (or @t129 @t126 @t162))))
121.56/121.79	(define @t164 () (or @t163 @t161 @t158 @t157 @t156))
121.56/121.79	(define @t165 () (@list @t8 @t7 @t41 @t149))
121.56/121.79	(define @t166 () (forall @t50 (or @t132 @t126 (_ @t9 @t7 @t8))))
121.56/121.79	(define @t167 () (or @t132 @t126 @t162))
121.56/121.79	(define @t168 () (forall @t50 @t167))
121.56/121.79	(define @t169 () (not @t168))
121.56/121.79	(define @t170 () (and (forall @t13 (or @t169 (not @t166))) (forall @t165 @t164)))
121.56/121.79	(define @t171 () (or @t143 @t140 @t170))
121.56/121.79	(define @t172 () (and @t142 @t139))
121.56/121.79	(define @t173 () (or @t158 @t157 @t156))
121.56/121.79	(define @t174 () (or @t163 @t161 @t173))
121.56/121.79	(define @t175 () (forall @t165 @t174))
121.56/121.79	(define @t176 () (@list @t149))
121.56/121.79	(define @t177 () (forall @t176 @t174))
121.56/121.79	(define @t178 () (forall @t176 @t173))
121.56/121.79	(define @t179 () (or @t163 @t161 @t178))
121.56/121.79	(define @t180 () (_ @t9 @t8 @t41))
121.56/121.79	(define @t181 () (not (forall @t101 (or @t127 (not (_ @t9 @t100 @t97)) (_ @t9 @t98 @t97)))))
121.56/121.79	(define @t182 () (forall @t50 (or @t181 @t126 @t180)))
121.56/121.79	(define @t183 () (@list @t41))
121.56/121.79	(define @t184 () (or @t169 @t161 @t182))
121.56/121.79	(define @t185 () (lambda @t13 @t168))
121.56/121.79	(define @t186 () (not (_ @t185 @t7 @t41)))
121.56/121.79	(define @t187 () (_ @t185 @t8 @t7))
121.56/121.79	(define @t188 () (not @t187))
121.56/121.79	(define @t189 () (or @t188 @t186 (_ @t185 @t8 @t41)))
121.56/121.79	(define @t190 () (forall @t45 @t189))
121.56/121.79	(define @t191 () (_ @t185 @t7 @t8))
121.56/121.79	(define @t192 () (not @t191))
121.56/121.79	(define @t193 () (or @t188 @t192))
121.56/121.79	(define @t194 () (forall @t13 @t193))
121.56/121.79	(define @t195 () (and @t194 @t190))
121.56/121.79	(define @t196 () (lambda @t4 @t172))
121.56/121.79	(define @t197 () (lambda @t19 @t168))
121.56/121.79	(define @t198 () (forall @t13 (or @t138 @t162)))
121.56/121.79	(define @t199 () (not @t198))
121.56/121.79	(define @t200 () (forall @t45 (or (not @t162) (not @t159) @t180)))
121.56/121.79	(define @t201 () (not @t200))
121.56/121.79	(define @t202 () (lambda @t19 (forall @t50 (or @t201 @t199 @t162))))
121.56/121.79	(define @t203 () (_ @t196 @t1))
121.56/121.79	(define @t204 () (=> @t203 (_ @t196 (_ @t202 @t1))))
121.56/121.79	(define @t205 () (forall @t4 @t204))
121.56/121.79	(define @t206 () (or @t201 @t199 @t10))
121.56/121.79	(define @t207 () (and @t200 @t198))
121.56/121.79	(define @t208 () (lambda @t50 @t198))
121.56/121.79	(define @t209 () (_ (lambda @t15 @t198) @t1))
121.56/121.79	(define @t210 () (lambda @t4 @t139))
121.56/121.79	(define @t211 () (_ @t210 @t9))
121.56/121.79	(define @t212 () (and @t211 (_ @t209 @t9)))
121.56/121.79	(define @t213 () (=> @t212 @t10))
121.56/121.79	(define @t214 () (or @t64 @t10))
121.56/121.79	(define @t215 () (not @t43))
121.56/121.79	(define @t216 () (or @t64 @t215 @t42))
121.56/121.79	(define @t217 () (_ @t210 @t1))
121.56/121.79	(define @t218 () (_ (lambda @t4 @t142) @t1))
121.56/121.79	(define @t219 () (or @t64 @t37))
121.56/121.79	(define @t220 () (@quantifiers_skolemize @t123 0))
121.56/121.79	(define @t221 () (_ @t90 @t220 @t7))
121.56/121.79	(define @t222 () (_ @t90 @t220 @t8))
121.56/121.79	(define @t223 () (not (_ @t91 @t222 @t7)))
121.56/121.79	(define @t224 () (forall @t13 (or @t223 (not (_ @t91 @t221 @t8)))))
121.56/121.79	(define @t225 () (@quantifiers_skolemize @t123 5))
121.56/121.79	(define @t226 () (@quantifiers_skolemize @t123 3))
121.56/121.79	(define @t227 () (@quantifiers_skolemize @t123 6))
121.56/121.79	(define @t228 () (_ @t91 (_ @t90 @t227 @t226) @t225))
121.56/121.79	(define @t229 () (_ @t91 (_ @t90 @t220 @t93) @t92))
121.56/121.79	(define @t230 () (not @t229))
121.56/121.79	(define @t231 () (forall @t96 (or @t230 (_ @t91 (_ @t90 @t227 @t93) @t92))))
121.56/121.79	(define @t232 () (not @t231))
121.56/121.79	(define @t233 () (_ @t90 @t227 @t98))
121.56/121.79	(define @t234 () (@quantifiers_skolemize @t123 4))
121.56/121.79	(define @t235 () (not (forall @t96 (or @t230 @t104))))
121.56/121.79	(define @t236 () (forall @t112 (or @t111 @t235 (_ @t91 (_ @t90 @t103 @t234) @t225))))
121.56/121.79	(define @t237 () (not @t236))
121.56/121.79	(define @t238 () (forall @t112 (or @t115 @t235 (_ @t91 (_ @t90 @t103 @t226) @t234))))
121.56/121.79	(define @t239 () (not @t238))
121.56/121.79	(define @t240 () (or @t239 @t237 (not (forall @t101 (or (not (_ @t91 @t233 @t100)) (not (_ @t91 (_ @t90 @t227 @t100) @t97)) (_ @t91 @t233 @t97)))) @t232 @t228))
121.56/121.79	(define @t241 () (@quantifiers_skolemize @t123 1))
121.56/121.79	(define @t242 () (@quantifiers_skolemize @t123 2))
121.56/121.79	(define @t243 () (forall @t112 (or @t119 @t235 (_ @t91 (_ @t90 @t103 @t242) @t241))))
121.56/121.79	(define @t244 () (not @t243))
121.56/121.79	(define @t245 () (forall @t112 (or @t119 @t235 (_ @t91 (_ @t90 @t103 @t241) @t242))))
121.56/121.79	(define @t246 () (not @t245))
121.56/121.79	(define @t247 () (or @t246 @t244))
121.56/121.79	(define @t248 () (and @t247 @t240))
121.56/121.79	(define @t249 () (forall @t45 (or @t223 (not (_ @t91 @t221 @t41)) (_ @t91 @t222 @t41))))
121.56/121.79	(define @t250 () (not @t249))
121.56/121.79	(define @t251 () (not @t224))
121.56/121.79	(define @t252 () (or @t251 @t250 @t248))
121.56/121.79	(define @t253 () (@list true))
121.56/121.79	(define @t254 () (@list @t252))
121.56/121.79	(define @t255 () (_ @t90 @t220 @t226))
121.56/121.79	(define @t256 () (_ @t91 @t255 @t234))
121.56/121.79	(define @t257 () (_ @t90 @t220 @t98))
121.56/121.79	(define @t258 () (_ @t90 @t220 @t100))
121.56/121.79	(define @t259 () (not (_ @t91 @t257 @t100)))
121.56/121.79	(define @t260 () (forall @t114 (or @t259 (not (_ @t91 @t258 @t113)) (_ @t91 @t257 @t113))))
121.56/121.79	(define @t261 () (not @t260))
121.56/121.79	(define @t262 () (or @t261 @t256))
121.56/121.79	(define @t263 () (forall @t96 (or @t230 @t229)))
121.56/121.79	(define @t264 () (not @t263))
121.56/121.79	(define @t265 () (or @t261 @t264 @t256))
121.56/121.79	(define @t266 () (@list @t220))
121.56/121.79	(define @t267 () (_ @t91 (_ @t90 @t220 @t234) @t225))
121.56/121.79	(define @t268 () (forall @t110 (or @t259 (not (_ @t91 @t258 @t106)) (_ @t91 @t257 @t106))))
121.56/121.79	(define @t269 () (not @t268))
121.56/121.79	(define @t270 () (or @t269 @t267))
121.56/121.79	(define @t271 () (or @t269 @t264 @t267))
121.56/121.79	(define @t272 () (_ @t91 @t255 @t225))
121.56/121.79	(define @t273 () (not @t272))
121.56/121.79	(define @t274 () (or @t273 @t228))
121.56/121.79	(define @t275 () (@list @t8 @t7 @t41))
121.56/121.79	(define @t276 () (@list false))
121.56/121.79	(define @t277 () (@list @t249))
121.56/121.79	(define @t278 () (not @t267))
121.56/121.79	(define @t279 () (not @t256))
121.56/121.79	(define @t280 () (or @t279 @t278 @t272))
121.56/121.79	(define @t281 () (@list @t247))
121.56/121.79	(define @t282 () (_ @t91 (_ @t90 @t220 @t241) @t242))
121.56/121.79	(define @t283 () (forall @t118 (or @t259 (not (_ @t91 @t258 @t41)) (_ @t91 @t257 @t41))))
121.56/121.79	(define @t284 () (not @t283))
121.56/121.79	(define @t285 () (or @t284 @t282))
121.56/121.79	(define @t286 () (or @t284 @t264 @t282))
121.56/121.79	(define @t287 () (@var "BOUND_VARIABLE_9718" $$unsorted))
121.56/121.79	(define @t288 () (@var "BOUND_VARIABLE_9716" $$unsorted))
121.56/121.79	(define @t289 () (_ @t90 @t220 @t288))
121.56/121.79	(define @t290 () (@var "BOUND_VARIABLE_9717" $$unsorted))
121.56/121.79	(define @t291 () (@list @t288 @t290 @t287))
121.56/121.79	(define @t292 () (@list false false))
121.56/121.79	(define @t293 () (_ @t91 (_ @t90 @t220 @t242) @t241))
121.56/121.79	(define @t294 () (or @t284 @t293))
121.56/121.79	(define @t295 () (or @t284 @t264 @t293))
121.56/121.79	(define @t296 () (not @t293))
121.56/121.79	(define @t297 () (not @t282))
121.56/121.79	(define @t298 () (or @t297 @t296))
121.56/121.79	(assume @p1 @t6)
121.56/121.79	(assume @p2 true)
121.56/121.79	(step @p3 (= tptp.subrel @t16) :rule refl :args (@t16))
121.56/121.79	(step @p4 (= tptp.inv @t20) :rule refl :args (@t20))
121.56/121.79	(step @p5 (= tptp.idem @t24) :rule refl :args (@t24))
121.56/121.79	(step @p6 (= tptp.infl @t26) :rule refl :args (@t26))
121.56/121.79	(step @p7 (= tptp.mono @t28) :rule refl :args (@t28))
121.56/121.79	(step @p8 (= tptp.refl @t31) :rule refl :args (@t31))
121.56/121.79	(step @p9 (= tptp.irrefl @t32) :rule refl :args (@t32))
121.56/121.79	(step @p10 (= tptp.rc @t34) :rule refl :args (@t34))
121.56/121.79	(step @p11 (= tptp.symm @t35) :rule refl :args (@t35))
121.56/121.79	(step @p12 (= tptp.antisymm @t36) :rule refl :args (@t36))
121.56/121.79	(step @p13 (= tptp.asymm @t39) :rule refl :args (@t39))
121.56/121.79	(step @p14 (= tptp.sc @t40) :rule refl :args (@t40))
121.56/121.79	(step @p15 (= tptp.trans @t47) :rule refl :args (@t47))
121.56/121.79	(step @p16 (= tptp.tc @t52) :rule refl :args (@t52))
121.56/121.79	(step @p17 (= tptp.trc @t57) :rule refl :args (@t57))
121.56/121.79	(step @p18 (= tptp.trsc @t58) :rule refl :args (@t58))
121.56/121.79	(step @p19 (= tptp.po @t60) :rule refl :args (@t60))
121.56/121.79	(step @p20 (= tptp.so @t62) :rule refl :args (@t62))
121.56/121.79	(step @p21 (= tptp.total @t63) :rule refl :args (@t63))
121.56/121.79	(step @p22 (= tptp.term @t68) :rule refl :args (@t68))
121.56/121.79	(step @p23 (= tptp.ind @t71) :rule refl :args (@t71))
121.56/121.79	(step @p24 (= tptp.innf @t72) :rule refl :args (@t72))
121.56/121.79	(step @p25 (= tptp.nfof @t75) :rule refl :args (@t75))
121.56/121.79	(step @p26 (= tptp.norm @t76) :rule refl :args (@t76))
121.56/121.79	(step @p27 (= tptp.join @t79) :rule refl :args (@t79))
121.56/121.79	(step @p28 (= tptp.lconfl @t82) :rule refl :args (@t82))
121.56/121.79	(step @p29 (= tptp.sconfl @t84) :rule refl :args (@t84))
121.56/121.79	(step @p30 (= tptp.confl @t85) :rule refl :args (@t85))
121.56/121.79	(step @p31 (= tptp.cr @t86) :rule refl :args (@t86))
121.56/121.79	; WARNING: add trust step for TRUST
121.56/121.79	; trust TRUST PREPROCESS_HO_ELIM
121.56/121.79	(step @p32 :rule trust :premises () :args ((= (not @t145) (not @t123))))
121.56/121.79	(step @p33 :rule quant-merge-prenex :args ((= (forall @t4 @t147) @t145)))
121.56/121.79	(step @p34 :rule alpha_equiv :args (@t148 (@list @t88 @t102 @t87 @t124) (@list @t8 @t7 @t41 @t149)))
121.56/121.79	(step @p35 :rule quant-unused-vars :args ((= @t150 @t148)))
121.56/121.79	(step @p36 :rule trans :premises (@p35 @p34))
121.56/121.79	(step @p37 :rule alpha_equiv :args (@t151 (@list @t116 @t117) (@list @t8 @t7)))
121.56/121.79	(step @p38 :rule quant-unused-vars :args ((= @t152 @t151)))
121.56/121.79	(step @p39 :rule trans :premises (@p38 @p37))
121.56/121.79	(step @p40 :rule nary_cong :premises (@p39 @p36) :args (@t153))
121.56/121.79	(step @p41 :rule quant-miniscope-and :args ((= @t154 @t153)))
121.56/121.79	(step @p42 :rule trans :premises (@p41 @p40))
121.56/121.79	(step @p43 :rule refl :args (@t140))
121.56/121.79	(step @p44 :rule refl :args (@t143))
121.56/121.79	(step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args (@t155))
121.56/121.79	(step @p46 :rule quant-miniscope-or :args ((= @t147 @t155)))
121.56/121.79	(step @p47 :rule trans :premises (@p46 @p45))
121.56/121.79	(step @p48 :rule symm :premises (@p47))
121.56/121.79	(step @p49 :rule cong :premises (@p48) :args ((forall @t4 @t171)))
121.56/121.79	(step @p50 :rule trans :premises (@p49 @p33))
121.56/121.79	(step @p51 :rule aci_norm :args ((= (or (or @t143 @t140) @t170) @t171)))
121.56/121.79	(step @p52 :rule refl :args (@t170))
121.56/121.79	(step @p53 :rule bool-and-de-morgan :args (@t142 @t139 true))
121.56/121.79	(step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t172) @t170)))
121.56/121.79	(step @p55 :rule trans :premises (@p54 @p51))
121.56/121.79	(step @p56 :rule bool-impl-elim :args (@t172 @t170))
121.56/121.79	(step @p57 :rule trans :premises (@p56 @p55))
121.56/121.79	(step @p58 :rule cong :premises (@p57) :args ((forall @t4 (=> @t172 @t170))))
121.56/121.79	(step @p59 :rule trans :premises (@p58 @p50))
121.56/121.79	(step @p60 :rule aci_norm :args ((= @t174 @t164)))
121.56/121.79	(step @p61 :rule cong :premises (@p60) :args (@t175))
121.56/121.79	(step @p62 :rule quant-merge-prenex :args ((= (forall @t45 @t177) @t175)))
121.56/121.79	(step @p63 :rule alpha_equiv :args (@t178 (@list @t149) (@list @t9)))
121.56/121.79	(step @p64 :rule refl :args (@t161))
121.56/121.79	(step @p65 :rule refl :args (@t163))
121.56/121.79	(step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t179))
121.56/121.79	(step @p67 :rule quant-miniscope-or :args ((= @t177 @t179)))
121.56/121.79	(step @p68 :rule trans :premises (@p67 @p66))
121.56/121.79	(step @p69 :rule symm :premises (@p68))
121.56/121.79	(step @p70 :rule cong :premises (@p69) :args ((forall @t45 (or @t163 @t161 @t182))))
121.56/121.79	(step @p71 :rule trans :premises (@p70 @p62))
121.56/121.79	(step @p72 :rule trans :premises (@p71 @p61))
121.56/121.79	(step @p73 :rule refl :args (@t182))
121.56/121.79	(step @p74 :rule refl :args (@t162))
121.56/121.79	(step @p75 :rule refl :args (@t126))
121.56/121.79	(step @p76 :rule alpha_equiv :args (@t131 @t183 (@list @t113)))
121.56/121.79	(step @p77 :rule cong :premises (@p76) :args (@t132))
121.56/121.79	(step @p78 :rule nary_cong :premises (@p77 @p75 @p74) :args (@t167))
121.56/121.79	(step @p79 :rule cong :premises (@p78) :args (@t168))
121.56/121.79	(step @p80 :rule cong :premises (@p79) :args (@t169))
121.56/121.79	(step @p81 :rule nary_cong :premises (@p80 @p64 @p73) :args (@t184))
121.56/121.79	(step @p82 :rule cong :premises (@p81) :args ((forall @t45 @t184)))
121.56/121.79	(step @p83 :rule trans :premises (@p82 @p72))
121.56/121.79	(step @p84 :rule beta-reduce :args ((= (_ (lambda @t13 (forall @t50 (or @t181 @t126 @t162))) @t8 @t41) @t182)))
121.56/121.79	(step @p85 :rule refl :args (@t41))
121.56/121.79	(step @p86 :rule refl :args (@t8))
121.56/121.79	(step @p87 :rule alpha_equiv :args (@t131 @t183 (@list @t97)))
121.56/121.79	(step @p88 :rule cong :premises (@p87) :args (@t132))
121.56/121.79	(step @p89 :rule nary_cong :premises (@p88 @p75 @p74) :args (@t167))
121.56/121.79	(step @p90 :rule cong :premises (@p89) :args (@t168))
121.56/121.79	(step @p91 :rule cong :premises (@p90) :args (@t185))
121.56/121.79	(step @p92 :rule ho_cong :premises (@p91 @p86 @p85))
121.56/121.79	(step @p93 :rule trans :premises (@p92 @p84))
121.56/121.79	(step @p94 :rule beta-reduce :args ((= (_ (lambda @t13 (forall @t50 (or @t128 @t126 @t162))) @t7 @t41) @t160)))
121.56/121.79	(step @p95 :rule refl :args (@t7))
121.56/121.79	(step @p96 :rule alpha_equiv :args (@t131 @t183 (@list @t106)))
121.56/121.79	(step @p97 :rule cong :premises (@p96) :args (@t132))
121.56/121.79	(step @p98 :rule nary_cong :premises (@p97 @p75 @p74) :args (@t167))
121.56/121.79	(step @p99 :rule cong :premises (@p98) :args (@t168))
121.56/121.79	(step @p100 :rule cong :premises (@p99) :args (@t185))
121.56/121.79	(step @p101 :rule ho_cong :premises (@p100 @p95 @p85))
121.56/121.79	(step @p102 :rule trans :premises (@p101 @p94))
121.56/121.79	(step @p103 :rule cong :premises (@p102) :args (@t186))
121.56/121.79	(step @p104 :rule beta-reduce :args ((= @t187 @t168)))
121.56/121.79	(step @p105 :rule cong :premises (@p104) :args (@t188))
121.56/121.79	(step @p106 :rule nary_cong :premises (@p105 @p103 @p93) :args (@t189))
121.56/121.79	(step @p107 :rule cong :premises (@p106) :args (@t190))
121.56/121.79	(step @p108 :rule trans :premises (@p107 @p83))
121.56/121.79	(step @p109 :rule beta-reduce :args ((= @t191 @t166)))
121.56/121.79	(step @p110 :rule cong :premises (@p109) :args (@t192))
121.56/121.79	(step @p111 :rule nary_cong :premises (@p105 @p110) :args (@t193))
121.56/121.79	(step @p112 :rule cong :premises (@p111) :args (@t194))
121.56/121.79	(step @p113 :rule nary_cong :premises (@p112 @p108) :args (@t195))
121.56/121.79	(step @p114 :rule beta-reduce :args ((= (_ @t196 @t185) @t195)))
121.56/121.79	(step @p115 :rule trans :premises (@p114 @p113))
121.56/121.79	(step @p116 :rule beta-reduce :args ((= (_ @t197 @t1) @t185)))
121.56/121.79	(step @p117 :rule refl :args (@t1))
121.56/121.79	; WARNING: add trust step for TRUST_THEORY_REWRITE
121.56/121.79	; trust TRUST_THEORY_REWRITE
121.56/121.79	(step @p118 :rule trust :premises () :args ((= @t202 @t197)))
121.56/121.79	(step @p119 :rule ho_cong :premises (@p118 @p117))
121.56/121.79	(step @p120 :rule trans :premises (@p119 @p116))
121.56/121.79	(step @p121 :rule refl :args (@t196))
121.56/121.79	(step @p122 :rule ho_cong :premises (@p121 @p120))
121.56/121.79	(step @p123 :rule trans :premises (@p122 @p115))
121.56/121.79	(step @p124 :rule beta-reduce :args ((= @t203 @t172)))
121.56/121.79	(step @p125 :rule cong :premises (@p124 @p123) :args (@t204))
121.56/121.79	(step @p126 :rule cong :premises (@p125) :args (@t205))
121.56/121.79	(step @p127 :rule trans :premises (@p126 @p59))
121.56/121.79	(step @p128 :rule cong :premises (@p127) :args ((not @t205)))
121.56/121.79	(step @p129 :rule refl :args (@t162))
121.56/121.79	(step @p130 :rule refl :args (@t10))
121.56/121.79	(step @p131 :rule cong :premises (@p130 @p129) :args ((= @t10 @t162)))
121.56/121.79	(step @p132 :rule symm :premises (@p131))
121.56/121.79	(step @p133 :rule eq_resolve :premises (@p130 @p132))
121.56/121.79	(step @p134 :rule refl :args (@t199))
121.56/121.79	(step @p135 :rule refl :args (@t201))
121.56/121.79	(step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args (@t206))
121.56/121.79	(step @p137 :rule cong :premises (@p136) :args ((forall @t50 @t206)))
121.56/121.79	(step @p138 :rule aci_norm :args ((= (or (or @t201 @t199) @t10) @t206)))
121.56/121.79	(step @p139 :rule bool-and-de-morgan :args (@t200 @t198 true))
121.56/121.79	(step @p140 :rule nary_cong :premises (@p139 @p130) :args ((or (not @t207) @t10)))
121.56/121.79	(step @p141 :rule trans :premises (@p140 @p138))
121.56/121.79	(step @p142 :rule bool-impl-elim :args (@t207 @t10))
121.56/121.79	(step @p143 :rule trans :premises (@p142 @p141))
121.56/121.79	(step @p144 :rule cong :premises (@p143) :args ((forall @t50 (=> @t207 @t10))))
121.56/121.79	(step @p145 :rule trans :premises (@p144 @p137))
121.56/121.79	(step @p146 :rule refl :args (@t10))
121.56/121.79	(step @p147 :rule beta-reduce :args ((= (_ @t208 @t9) @t198)))
121.56/121.79	(step @p148 :rule refl :args (@t9))
121.56/121.79	(step @p149 :rule beta-reduce :args ((= @t209 @t208)))
121.56/121.79	(step @p150 :rule ho_cong :premises (@p149 @p148))
121.56/121.79	(step @p151 :rule trans :premises (@p150 @p147))
121.56/121.79	(step @p152 :rule beta-reduce :args ((= @t211 @t200)))
121.56/121.79	(step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t212))
121.56/121.79	(step @p154 :rule cong :premises (@p153 @p146) :args (@t213))
121.56/121.79	(step @p155 :rule cong :premises (@p154) :args ((forall @t50 @t213)))
121.56/121.79	(step @p156 :rule trans :premises (@p155 @p145))
121.56/121.79	(step @p157 :rule refl :args (@t137))
121.56/121.79	(step @p158 :rule refl :args (@t12))
121.56/121.79	(step @p159 :rule cong :premises (@p158 @p157) :args ((= @t12 @t137)))
121.56/121.79	(step @p160 :rule symm :premises (@p159))
121.56/121.79	(step @p161 :rule eq_resolve :premises (@p158 @p160))
121.56/121.79	(step @p162 :rule cong :premises (@p161) :args (@t64))
121.56/121.79	(step @p163 :rule nary_cong :premises (@p162 @p133) :args (@t214))
121.56/121.79	(step @p164 :rule cong :premises (@p163) :args ((forall @t13 @t214)))
121.56/121.79	(step @p165 :rule bool-impl-elim :args (@t12 @t10))
121.56/121.79	(step @p166 :rule cong :premises (@p165) :args (@t14))
121.56/121.79	(step @p167 :rule trans :premises (@p166 @p164))
121.56/121.79	(step @p168 :rule cong :premises (@p167) :args (@t16))
121.56/121.79	(step @p169 :rule trans :premises (@p3 @p168))
121.56/121.79	(step @p170 :rule ho_cong :premises (@p169 @p117))
121.56/121.79	(step @p171 :rule ho_cong :premises (@p170 @p148))
121.56/121.79	(step @p172 :rule refl :args (@t135))
121.56/121.79	(step @p173 :rule refl :args (@t42))
121.56/121.79	(step @p174 :rule cong :premises (@p173 @p172) :args ((= @t42 @t135)))
121.56/121.79	(step @p175 :rule symm :premises (@p174))
121.56/121.79	(step @p176 :rule eq_resolve :premises (@p173 @p175))
121.56/121.79	(step @p177 :rule refl :args (@t136))
121.56/121.79	(step @p178 :rule refl :args (@t43))
121.56/121.79	(step @p179 :rule cong :premises (@p178 @p177) :args ((= @t43 @t136)))
121.56/121.79	(step @p180 :rule symm :premises (@p179))
121.56/121.79	(step @p181 :rule eq_resolve :premises (@p178 @p180))
121.56/121.79	(step @p182 :rule cong :premises (@p181) :args (@t215))
121.56/121.79	(step @p183 :rule nary_cong :premises (@p162 @p182 @p176) :args (@t216))
121.56/121.79	(step @p184 :rule cong :premises (@p183) :args ((forall @t45 @t216)))
121.56/121.79	(step @p185 :rule aci_norm :args ((= (or (or @t64 @t215) @t42) @t216)))
121.56/121.79	(step @p186 :rule bool-and-de-morgan :args (@t12 @t43 true))
121.56/121.79	(step @p187 :rule nary_cong :premises (@p186 @p173) :args ((or (not @t44) @t42)))
121.56/121.79	(step @p188 :rule trans :premises (@p187 @p185))
121.56/121.79	(step @p189 :rule bool-impl-elim :args (@t44 @t42))
121.56/121.79	(step @p190 :rule trans :premises (@p189 @p188))
121.56/121.79	(step @p191 :rule cong :premises (@p190) :args (@t46))
121.56/121.79	(step @p192 :rule trans :premises (@p191 @p184))
121.56/121.79	(step @p193 :rule cong :premises (@p192) :args (@t47))
121.56/121.79	(step @p194 :rule trans :premises (@p15 @p193))
121.56/121.79	(step @p195 :rule ho_cong :premises (@p194 @p148))
121.56/121.79	(step @p196 :rule nary_cong :premises (@p195 @p171) :args (@t48))
121.56/121.79	(step @p197 :rule cong :premises (@p196 @p146) :args (@t49))
121.56/121.79	(step @p198 :rule cong :premises (@p197) :args (@t51))
121.56/121.79	(step @p199 :rule trans :premises (@p198 @p156))
121.56/121.79	(step @p200 :rule cong :premises (@p199) :args (@t52))
121.56/121.79	(step @p201 :rule trans :premises (@p16 @p200))
121.56/121.79	(step @p202 :rule ho_cong :premises (@p201 @p117))
121.56/121.79	(step @p203 :rule beta-reduce :args ((= @t217 @t139)))
121.56/121.79	(step @p204 :rule beta-reduce :args ((= @t218 @t142)))
121.56/121.79	(step @p205 :rule nary_cong :premises (@p204 @p203) :args ((and @t218 @t217)))
121.56/121.79	(step @p206 :rule ho_cong :premises (@p194 @p117))
121.56/121.79	(step @p207 :rule refl :args (@t141))
121.56/121.79	(step @p208 :rule refl :args (@t18))
121.56/121.79	(step @p209 :rule cong :premises (@p208 @p207) :args ((= @t18 @t141)))
121.56/121.79	(step @p210 :rule symm :premises (@p209))
121.56/121.79	(step @p211 :rule eq_resolve :premises (@p208 @p210))
121.56/121.79	(step @p212 :rule cong :premises (@p211) :args (@t37))
121.56/121.79	(step @p213 :rule nary_cong :premises (@p162 @p212) :args (@t219))
121.56/121.79	(step @p214 :rule cong :premises (@p213) :args ((forall @t13 @t219)))
121.56/121.79	(step @p215 :rule bool-impl-elim :args (@t12 @t37))
121.56/121.79	(step @p216 :rule cong :premises (@p215) :args (@t38))
121.56/121.79	(step @p217 :rule trans :premises (@p216 @p214))
121.56/121.79	(step @p218 :rule cong :premises (@p217) :args (@t39))
121.56/121.79	(step @p219 :rule trans :premises (@p13 @p218))
121.56/121.79	(step @p220 :rule ho_cong :premises (@p219 @p117))
121.56/121.79	(step @p221 :rule nary_cong :premises (@p220 @p206) :args (@t61))
121.56/121.79	(step @p222 :rule trans :premises (@p221 @p205))
121.56/121.79	(step @p223 :rule cong :premises (@p222) :args (@t62))
121.56/121.79	(step @p224 :rule trans :premises (@p20 @p223))
121.56/121.79	(step @p225 :rule ho_cong :premises (@p224 @p202))
121.56/121.79	(step @p226 :rule ho_cong :premises (@p224 @p117))
121.56/121.79	(step @p227 :rule cong :premises (@p226 @p225) :args (@t3))
121.56/121.79	(step @p228 :rule cong :premises (@p227) :args (@t5))
121.56/121.79	(step @p229 :rule cong :premises (@p228) :args (@t6))
121.56/121.79	(step @p230 :rule trans :premises (@p229 @p128))
121.56/121.79	(step @p231 :rule trans :premises (@p230 @p32))
121.56/121.79	(step @p232 :rule eq_resolve :premises (@p1 @p231))
121.56/121.79	(step @p233 :rule skolemize :premises (@p232))
121.56/121.79	(step @p234 :rule bool-double-not-elim :args (@t224))
121.56/121.79	(step @p235 :rule refl :args (@t252))
121.56/121.79	(step @p236 :rule nary_cong :premises (@p235 @p234) :args ((or @t252 (not @t251))))
121.56/121.79	(step @p237 :rule cnf_or_neg :args (@t252 0))
121.56/121.79	(step @p238 :rule eq_resolve :premises (@p237 @p236))
121.56/121.79	(step @p239 :rule reordering :premises (@p238) :args ((or @t224 @t252)))
121.56/121.79	(step @p240 :rule chain_resolution :premises (@p239 @p233) :args (@t253 @t254))
121.56/121.79	(step @p241 :rule instantiate :premises (@p240) :args ((@list @t241 @t242)))
121.56/121.79	(step @p242 :rule bool-double-not-elim :args (@t238))
121.56/121.79	(step @p243 :rule refl :args (@t240))
121.56/121.79	(step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t240 (not @t239))))
121.56/121.79	(step @p245 :rule cnf_or_neg :args (@t240 0))
121.56/121.79	(step @p246 :rule eq_resolve :premises (@p245 @p244))
121.56/121.79	(step @p247 :rule reordering :premises (@p246) :args ((or @t238 @t240)))
121.56/121.79	(step @p248 :rule bool-double-not-elim :args (@t236))
121.56/121.79	(step @p249 :rule nary_cong :premises (@p243 @p248) :args ((or @t240 (not @t237))))
121.56/121.79	(step @p250 :rule cnf_or_neg :args (@t240 1))
121.56/121.79	(step @p251 :rule eq_resolve :premises (@p250 @p249))
121.56/121.79	(step @p252 :rule reordering :premises (@p251) :args ((or @t236 @t240)))
121.56/121.79	(step @p253 :rule bool-double-not-elim :args (@t231))
121.56/121.79	(step @p254 :rule nary_cong :premises (@p243 @p253) :args ((or @t240 (not @t232))))
121.56/121.79	(step @p255 :rule cnf_or_neg :args (@t240 3))
121.56/121.79	(step @p256 :rule eq_resolve :premises (@p255 @p254))
121.56/121.79	(step @p257 :rule reordering :premises (@p256) :args ((or @t231 @t240)))
121.56/121.79	(step @p258 :rule cnf_or_neg :args (@t240 4))
121.56/121.79	(step @p259 :rule aci_norm :args ((= (or @t261 false @t256) @t262)))
121.56/121.79	(step @p260 :rule refl :args (@t256))
121.56/121.79	(step @p261 :rule evaluate :args ((not true)))
121.56/121.79	(step @p262 :rule quant-unused-vars :args ((= (forall @t96 true) true)))
121.56/121.79	(step @p263 :rule bool-or-taut2 :args (false @t229 false false))
121.56/121.79	(step @p264 :rule cong :premises (@p263) :args (@t263))
121.56/121.79	(step @p265 :rule trans :premises (@p264 @p262))
121.56/121.79	(step @p266 :rule cong :premises (@p265) :args (@t264))
121.56/121.79	(step @p267 :rule trans :premises (@p266 @p261))
121.56/121.79	(step @p268 :rule refl :args (@t261))
121.56/121.79	(step @p269 :rule nary_cong :premises (@p268 @p267 @p260) :args (@t265))
121.56/121.79	(step @p270 :rule trans :premises (@p269 @p259))
121.56/121.79	(step @p271 :rule refl :args (@t238))
121.56/121.79	(step @p272 :rule cong :premises (@p271 @p270) :args ((=> @t238 @t265)))
121.56/121.79	(assume-push @p378 @t238)
121.56/121.79	(step @p274 :rule instantiate :premises (@p378) :args (@t266))
121.56/121.79	(step-pop @p378 :rule scope :premises (@p274))
121.56/121.79	(step @p275 :rule process_scope :premises (@p378) :args (@t265))
121.56/121.79	(step @p277 :rule eq_resolve :premises (@p275 @p272))
121.56/121.79	(step @p278 :rule implies_elim :premises (@p277))
121.56/121.79	(step @p279 :rule aci_norm :args ((= (or @t269 false @t267) @t270)))
121.56/121.79	(step @p280 :rule refl :args (@t267))
121.56/121.79	(step @p281 :rule refl :args (@t269))
121.56/121.79	(step @p282 :rule nary_cong :premises (@p281 @p267 @p280) :args (@t271))
121.56/121.79	(step @p283 :rule trans :premises (@p282 @p279))
121.56/121.79	(step @p284 :rule refl :args (@t236))
121.56/121.79	(step @p285 :rule cong :premises (@p284 @p283) :args ((=> @t236 @t271)))
121.56/121.79	(assume-push @p380 @t236)
121.56/121.79	(step @p287 :rule instantiate :premises (@p380) :args (@t266))
121.56/121.79	(step-pop @p380 :rule scope :premises (@p287))
121.56/121.79	(step @p288 :rule process_scope :premises (@p380) :args (@t271))
121.56/121.79	(step @p290 :rule eq_resolve :premises (@p288 @p285))
121.56/121.79	(step @p291 :rule implies_elim :premises (@p290))
121.56/121.79	(assume-push @p382 @t231)
121.56/121.79	(step @p293 :rule instantiate :premises (@p382) :args ((@list @t226 @t225)))
121.56/121.79	(step-pop @p382 :rule scope :premises (@p293))
121.56/121.79	(step @p294 :rule process_scope :premises (@p382) :args (@t274))
121.56/121.79	(step @p296 :rule implies_elim :premises (@p294))
121.56/121.79	(step @p297 :rule bool-double-not-elim :args (@t249))
121.56/121.79	(step @p298 :rule nary_cong :premises (@p235 @p297) :args ((or @t252 (not @t250))))
121.56/121.79	(step @p299 :rule cnf_or_neg :args (@t252 1))
121.56/121.79	(step @p300 :rule eq_resolve :premises (@p299 @p298))
121.56/121.79	(step @p301 :rule reordering :premises (@p300) :args ((or @t249 @t252)))
121.56/121.79	(step @p302 :rule chain_resolution :premises (@p301 @p233) :args (@t253 @t254))
121.56/121.79	(step @p303 :rule alpha_equiv :args (@t249 @t275 (@list @t98 @t100 @t113)))
121.56/121.79	(step @p304 :rule equiv_elim1 :premises (@p303))
121.56/121.79	(step @p305 :rule chain_resolution :premises (@p304 @p302) :args (@t276 @t277))
121.56/121.79	(step @p306 :rule cnf_or_pos :args (@t262))
121.56/121.79	(step @p307 :rule reordering :premises (@p306) :args ((or @t261 @t256 (not @t262))))
121.56/121.79	(step @p308 :rule alpha_equiv :args (@t249 @t275 (@list @t98 @t100 @t106)))
121.56/121.79	(step @p309 :rule equiv_elim1 :premises (@p308))
121.56/121.79	(step @p310 :rule chain_resolution :premises (@p309 @p302) :args (@t276 @t277))
121.56/121.79	(step @p311 :rule cnf_or_pos :args (@t270))
121.56/121.79	(step @p312 :rule reordering :premises (@p311) :args ((or @t269 @t267 (not @t270))))
121.56/121.79	(step @p313 :rule cnf_or_pos :args (@t274))
121.56/121.79	(step @p314 :rule reordering :premises (@p313) :args ((or @t228 @t273 (not @t274))))
121.56/121.79	(step @p315 :rule instantiate :premises (@p302) :args ((@list @t226 @t234 @t225)))
121.56/121.79	(step @p316 :rule cnf_or_pos :args (@t280))
121.56/121.79	(step @p317 :rule reordering :premises (@p316) :args ((or @t272 @t279 @t278 (not @t280))))
121.56/121.79	(step @p318 :rule chain_resolution :premises (@p317 @p315 @p314 @p312 @p310 @p307 @p305 @p296 @p291 @p278 @p258 @p257 @p252 @p247) :args ((@list false true false false false false false false false true false false false) (@list @t280 @t272 @t267 @t268 @t256 @t260 @t274 @t270 @t262 @t228 @t231 @t236 @t238)))
121.56/121.79	(step @p319 :rule factoring :premises (@p318))
121.56/121.79	(step @p320 :rule cnf_or_neg :args (@t252 2))
121.56/121.79	(step @p321 :rule chain_resolution :premises (@p320 @p233) :args (@t253 @t254))
121.56/121.79	(step @p322 :rule cnf_and_neg :args (@t248))
121.56/121.79	(step @p323 :rule chain_resolution :premises (@p322 @p321 @p319) :args ((@list true false) (@list @t248 @t240)))
121.56/121.79	(step @p324 :rule bool-double-not-elim :args (@t245))
121.56/121.79	(step @p325 :rule refl :args (@t247))
121.56/121.79	(step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or @t247 (not @t246))))
121.56/121.79	(step @p327 :rule cnf_or_neg :args (@t247 0))
121.56/121.79	(step @p328 :rule eq_resolve :premises (@p327 @p326))
121.56/121.79	(step @p329 :rule reordering :premises (@p328) :args ((or @t245 @t247)))
121.56/121.79	(step @p330 :rule chain_resolution :premises (@p329 @p323) :args (@t253 @t281))
121.56/121.79	(step @p331 :rule aci_norm :args ((= (or @t284 false @t282) @t285)))
121.56/121.79	(step @p332 :rule refl :args (@t282))
121.56/121.79	(step @p333 :rule refl :args (@t284))
121.56/121.79	(step @p334 :rule nary_cong :premises (@p333 @p267 @p332) :args (@t286))
121.56/121.79	(step @p335 :rule trans :premises (@p334 @p331))
121.56/121.79	(step @p336 :rule refl :args (@t245))
121.56/121.79	(step @p337 :rule cong :premises (@p336 @p335) :args ((=> @t245 @t286)))
121.56/121.79	(assume-push @p384 @t245)
121.56/121.79	(step @p339 :rule instantiate :premises (@p384) :args (@t266))
121.56/121.79	(step-pop @p384 :rule scope :premises (@p339))
121.56/121.79	(step @p340 :rule process_scope :premises (@p384) :args (@t286))
121.56/121.79	(step @p342 :rule eq_resolve :premises (@p340 @p337))
121.56/121.79	(step @p343 :rule implies_elim :premises (@p342))
121.56/121.79	(step @p344 :rule chain_resolution :premises (@p343 @p330) :args (@t276 (@list @t245)))
121.56/121.79	(step @p345 :rule alpha_equiv :args ((forall (@list @t288 @t290 @t287) (or (not (_ @t91 @t289 @t290)) (not (_ @t91 (_ @t90 @t220 @t290) @t287)) (_ @t91 @t289 @t287))) @t291 (@list @t98 @t100 @t41)))
121.56/121.79	(step @p346 :rule alpha_equiv :args (@t249 @t275 @t291))
121.56/121.79	(step @p347 :rule trans :premises (@p346 @p345))
121.56/121.79	(step @p348 :rule equiv_elim1 :premises (@p347))
121.56/121.79	(step @p349 :rule chain_resolution :premises (@p348 @p302) :args (@t276 @t277))
121.56/121.79	(step @p350 :rule cnf_or_pos :args (@t285))
121.56/121.79	(step @p351 :rule reordering :premises (@p350) :args ((or @t284 @t282 (not @t285))))
121.56/121.79	(step @p352 :rule chain_resolution :premises (@p351 @p349 @p344) :args (@t292 (@list @t283 @t285)))
121.56/121.79	(step @p353 :rule bool-double-not-elim :args (@t243))
121.56/121.79	(step @p354 :rule nary_cong :premises (@p325 @p353) :args ((or @t247 (not @t244))))
121.56/121.79	(step @p355 :rule cnf_or_neg :args (@t247 1))
121.56/121.79	(step @p356 :rule eq_resolve :premises (@p355 @p354))
121.56/121.79	(step @p357 :rule reordering :premises (@p356) :args ((or @t243 @t247)))
121.56/121.79	(step @p358 :rule chain_resolution :premises (@p357 @p323) :args (@t253 @t281))
121.56/121.79	(step @p359 :rule aci_norm :args ((= (or @t284 false @t293) @t294)))
121.56/121.79	(step @p360 :rule refl :args (@t293))
121.56/121.79	(step @p361 :rule nary_cong :premises (@p333 @p267 @p360) :args (@t295))
121.56/121.79	(step @p362 :rule trans :premises (@p361 @p359))
121.56/121.79	(step @p363 :rule refl :args (@t243))
121.56/121.79	(step @p364 :rule cong :premises (@p363 @p362) :args ((=> @t243 @t295)))
121.56/121.79	(assume-push @p386 @t243)
121.56/121.79	(step @p366 :rule instantiate :premises (@p386) :args (@t266))
121.56/121.79	(step-pop @p386 :rule scope :premises (@p366))
121.56/121.79	(step @p367 :rule process_scope :premises (@p386) :args (@t295))
121.56/121.79	(step @p369 :rule eq_resolve :premises (@p367 @p364))
121.56/121.79	(step @p370 :rule implies_elim :premises (@p369))
121.56/121.79	(step @p371 :rule chain_resolution :premises (@p370 @p358) :args (@t276 (@list @t243)))
121.56/121.79	(step @p372 :rule cnf_or_pos :args (@t294))
121.56/121.79	(step @p373 :rule reordering :premises (@p372) :args ((or @t284 @t293 (not @t294))))
121.56/121.79	(step @p374 :rule chain_resolution :premises (@p373 @p349 @p371) :args (@t292 (@list @t283 @t294)))
121.56/121.79	(step @p375 :rule cnf_or_pos :args (@t298))
121.56/121.79	(step @p376 :rule reordering :premises (@p375) :args ((or @t297 @t296 (not @t298))))
121.56/121.79	(step @p377 false :rule chain_resolution :premises (@p376 @p374 @p352 @p241) :args ((@list false false false) (@list @t293 @t282 @t298)))
121.56/121.79	)
121.56/121.79	% SZS output end Proof
121.56/121.79	% cvc5 exiting
121.56/121.79	EOF