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
0.13/0.34	% Computer : n031.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 1920
0.13/0.34	% WCLimit  : 240
0.13/0.34	% DateTime : Fri Sep  5 23:21:07 EDT 2025
0.13/0.34	% CPUTime  : 
0.19/0.50	%----Proving TH0
207.77/135.97	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
207.77/135.97	--- 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...
207.77/135.97	--- 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...
207.77/135.97	--- Run --ho-elim --full-saturate-quant at 14s...
207.77/135.97	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
207.77/135.97	% SZS status Theorem
207.77/135.97	% SZS output start Proof
207.77/135.97	(
207.77/135.97	(declare-type $$unsorted ())
207.77/135.97	(define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))
207.77/135.97	(define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))
207.77/135.97	(define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3)))))))
207.77/135.97	(define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1)))))))
207.77/135.97	(define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1)))))))))
207.77/135.97	(define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
207.77/135.97	(define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1)))))))
207.77/135.97	(define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1)))))))
207.77/135.97	(define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
207.77/135.97	(define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1))))))))
207.77/135.97	(define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1)))))))))
207.77/135.97	(define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
207.77/135.97	(define tptp.trans () (let ((_let_1 (@var "Z" $$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))))))))))
207.77/135.97	(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)))))))))
207.77/135.97	(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))))))
207.77/135.97	(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))))))
207.77/135.97	(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)))))
207.77/135.97	(define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1)))))
207.77/135.97	(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))))))))
207.77/135.97	(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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1))))))))))))))))
207.77/135.97	(define tptp.ind () (let ((_let_1 (@var "X" $$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)))))))))))
207.77/135.97	(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))))))))
207.77/135.97	(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)))))))
207.77/135.97	(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))))))))
207.77/135.97	(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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1))))))))))
207.77/135.97	(define tptp.lconfl () (let ((_let_1 (@var "Y" $$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))))))))))
207.77/135.97	(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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))
207.77/135.97	(define tptp.confl () (let ((_let_1 (@var "Y" $$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))))))))))
207.77/135.97	(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))))))))
207.77/135.97	(define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool)))
207.77/135.97	(define @t2 () (not (_ tptp.term @t1)))
207.77/135.97	(define @t3 () (=> (_ tptp.symm @t1) @t2))
207.77/135.97	(define @t4 () (@var "Y" $$unsorted))
207.77/135.97	(define @t5 () (@var "X" $$unsorted))
207.77/135.97	(define @t6 () (_ @t1 @t5))
207.77/135.97	(define @t7 () (_ @t6 @t4))
207.77/135.97	(define @t8 () (@list @t5 @t4))
207.77/135.97	(define @t9 () (exists @t8 @t7))
207.77/135.97	(define @t10 () (=> @t9 @t3))
207.77/135.97	(define @t11 () (@list @t1))
207.77/135.97	(define @t12 () (forall @t11 @t10))
207.77/135.97	(define @t13 () (not @t12))
207.77/135.97	(define @t14 () (@var "S" (-> $$unsorted $$unsorted Bool)))
207.77/135.97	(define @t15 () (_ (_ @t14 @t5) @t4))
207.77/135.97	(define @t16 () (@list @t1 @t14))
207.77/135.97	(define @t17 () (lambda @t16 (forall @t8 (=> @t7 @t15))))
207.77/135.97	(define @t18 () (_ @t1 @t4))
207.77/135.97	(define @t19 () (_ @t18 @t5))
207.77/135.97	(define @t20 () (@list @t1 @t5 @t4))
207.77/135.97	(define @t21 () (lambda @t20 @t19))
207.77/135.97	(define @t22 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))
207.77/135.97	(define @t23 () (_ @t22 @t1))
207.77/135.97	(define @t24 () (@list @t22))
207.77/135.97	(define @t25 () (lambda @t24 (forall @t11 (= (_ @t22 @t23) @t23))))
207.77/135.97	(define @t26 () (_ tptp.subrel @t1))
207.77/135.97	(define @t27 () (lambda @t24 (forall @t11 (_ @t26 @t23))))
207.77/135.97	(define @t28 () (_ @t26 @t14))
207.77/135.97	(define @t29 () (lambda @t24 (forall @t16 (=> @t28 (_ (_ tptp.subrel @t23) (_ @t22 @t14))))))
207.77/135.97	(define @t30 () (_ @t6 @t5))
207.77/135.97	(define @t31 () (@list @t5))
207.77/135.97	(define @t32 () (lambda @t11 (forall @t31 @t30)))
207.77/135.97	(define @t33 () (lambda @t11 (forall @t31 (not @t30))))
207.77/135.97	(define @t34 () (= @t5 @t4))
207.77/135.97	(define @t35 () (lambda @t20 (or @t34 @t7)))
207.77/135.97	(define @t36 () (forall @t8 (=> @t7 @t19)))
207.77/135.97	(define @t37 () (lambda @t11 @t36))
207.77/135.97	(define @t38 () (lambda @t11 (forall @t8 (=> (and @t7 @t19) @t34))))
207.77/135.97	(define @t39 () (lambda @t11 (forall @t8 (=> @t7 (not @t19)))))
207.77/135.97	(define @t40 () (lambda @t20 (or @t19 @t7)))
207.77/135.97	(define @t41 () (@var "Z" $$unsorted))
207.77/135.97	(define @t42 () (_ @t6 @t41))
207.77/135.97	(define @t43 () (@list @t5 @t4 @t41))
207.77/135.97	(define @t44 () (lambda @t11 (forall @t43 (=> (and @t7 (_ @t18 @t41)) @t42))))
207.77/135.97	(define @t45 () (lambda @t20 (forall (@list @t14) (=> (and (_ tptp.trans @t14) @t28) @t15))))
207.77/135.97	(define @t46 () (@var "__flatten_var_1" $$unsorted))
207.77/135.97	(define @t47 () (@var "__flatten_var_0" $$unsorted))
207.77/135.97	(define @t48 () (_ tptp.tc @t1))
207.77/135.97	(define @t49 () (_ tptp.rc @t48))
207.77/135.97	(define @t50 () (@list @t1 @t47 @t46))
207.77/135.97	(define @t51 () (lambda @t50 (_ (_ @t49 @t47) @t46)))
207.77/135.97	(define @t52 () (lambda @t50 (_ (_ (_ tptp.sc @t49) @t47) @t46)))
207.77/135.97	(define @t53 () (_ tptp.trans @t1))
207.77/135.97	(define @t54 () (lambda @t11 (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t53)))
207.77/135.97	(define @t55 () (lambda @t11 (and (_ tptp.asymm @t1) @t53)))
207.77/135.97	(define @t56 () (lambda @t11 (forall @t8 (or @t34 @t7 @t19))))
207.77/135.97	(define @t57 () (not @t7))
207.77/135.97	(define @t58 () (@var "A" (-> $$unsorted Bool)))
207.77/135.97	(define @t59 () (_ @t58 @t4))
207.77/135.97	(define @t60 () (@list @t4))
207.77/135.97	(define @t61 () (forall @t60 (=> @t59 @t57)))
207.77/135.97	(define @t62 () (_ @t58 @t5))
207.77/135.97	(define @t63 () (and @t62 @t61))
207.77/135.97	(define @t64 () (exists @t31 @t63))
207.77/135.97	(define @t65 () (exists @t31 @t62))
207.77/135.97	(define @t66 () (=> @t65 @t64))
207.77/135.97	(define @t67 () (@list @t58))
207.77/135.97	(define @t68 () (forall @t67 @t66))
207.77/135.97	(define @t69 () (lambda @t11 @t68))
207.77/135.97	(define @t70 () (@var "P" (-> $$unsorted Bool)))
207.77/135.97	(define @t71 () (_ @t70 @t5))
207.77/135.97	(define @t72 () (lambda @t11 (forall (@list @t70) (=> (forall @t31 (=> (forall @t60 (=> (_ (_ @t48 @t5) @t4) (_ @t70 @t4))) @t71)) (forall @t31 @t71)))))
207.77/135.97	(define @t73 () (lambda (@list @t1 @t5) (not (exists @t60 @t7))))
207.77/135.97	(define @t74 () (_ tptp.trc @t1))
207.77/135.97	(define @t75 () (_ @t74 @t4))
207.77/135.97	(define @t76 () (lambda @t20 (and (_ @t75 @t5) (_ (_ tptp.innf @t1) @t5))))
207.77/135.97	(define @t77 () (lambda @t11 (forall @t31 (exists @t60 (_ (_ (_ tptp.nfof @t1) @t4) @t5)))))
207.77/135.97	(define @t78 () (_ @t74 @t5))
207.77/135.97	(define @t79 () (_ @t78 @t41))
207.77/135.97	(define @t80 () (lambda @t20 (exists (@list @t41) (and @t79 (_ @t75 @t41)))))
207.77/135.97	(define @t81 () (_ tptp.join @t1))
207.77/135.97	(define @t82 () (_ (_ @t81 @t41) @t4))
207.77/135.97	(define @t83 () (lambda @t11 (forall @t43 (=> (and @t42 @t7) @t82))))
207.77/135.97	(define @t84 () (_ @t78 @t4))
207.77/135.97	(define @t85 () (lambda @t11 (forall @t43 (=> (and @t42 @t84) @t82))))
207.77/135.97	(define @t86 () (lambda @t11 (forall @t43 (=> (and @t79 @t84) @t82))))
207.77/135.97	(define @t87 () (lambda @t11 (forall @t8 (=> (_ (_ (_ tptp.trsc @t1) @t5) @t4) (_ (_ @t81 @t5) @t4)))))
207.77/135.97	(define @t88 () (@var "BOUND_VARIABLE_8716" (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
207.77/135.97	(define @t89 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
207.77/135.97	(define @t90 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
207.77/135.97	(define @t91 () (not (_ @t90 (_ @t89 @t88 @t5) @t4)))
207.77/135.97	(define @t92 () (@var "BOUND_VARIABLE_8725" (@ho-elim-sort (-> $$unsorted Bool))))
207.77/135.97	(define @t93 () (not (_ @t90 @t92 @t4)))
207.77/135.97	(define @t94 () (not (_ @t90 @t92 @t5)))
207.77/135.97	(define @t95 () (@var "BOUND_VARIABLE_7838" $$unsorted))
207.77/135.97	(define @t96 () (not (_ @t90 @t92 @t95)))
207.77/135.97	(define @t97 () (@list @t92 @t95))
207.77/135.97	(define @t98 () (@var "BOUND_VARIABLE_8707" $$unsorted))
207.77/135.97	(define @t99 () (@var "BOUND_VARIABLE_8705" $$unsorted))
207.77/135.97	(define @t100 () (forall (@list @t88 @t99 @t98) (or (not (_ @t90 (_ @t89 @t88 @t99) @t98)) (not (forall @t8 (or @t91 (_ @t90 (_ @t89 @t88 @t4) @t5)))) (not (forall @t97 (or @t96 (not (forall @t31 (or @t94 (not (forall @t60 (or @t93 @t91))))))))))))
207.77/135.97	(define @t101 () (_ @t1 @t5 @t4))
207.77/135.97	(define @t102 () (not @t101))
207.77/135.97	(define @t103 () (_ @t58 @t4))
207.77/135.97	(define @t104 () (forall @t60 (or (not @t103) @t102)))
207.77/135.97	(define @t105 () (not @t104))
207.77/135.97	(define @t106 () (_ @t58 @t5))
207.77/135.97	(define @t107 () (not @t106))
207.77/135.97	(define @t108 () (not (forall @t31 (or @t107 @t105))))
207.77/135.97	(define @t109 () (not (_ @t58 @t95)))
207.77/135.97	(define @t110 () (or @t109 @t108))
207.77/135.97	(define @t111 () (forall (@list @t58 @t95) @t110))
207.77/135.97	(define @t112 () (not @t111))
207.77/135.97	(define @t113 () (_ @t1 @t4 @t5))
207.77/135.97	(define @t114 () (forall @t8 (or @t102 @t113)))
207.77/135.97	(define @t115 () (not @t114))
207.77/135.97	(define @t116 () (not (_ @t1 @t99 @t98)))
207.77/135.97	(define @t117 () (or @t116 @t115 @t112))
207.77/135.97	(define @t118 () (forall (@list @t1 @t99 @t98) @t117))
207.77/135.97	(define @t119 () (@list @t99 @t98))
207.77/135.97	(define @t120 () (forall @t119 @t117))
207.77/135.97	(define @t121 () (forall @t119 @t116))
207.77/135.97	(define @t122 () (or @t121 @t115 @t112))
207.77/135.97	(define @t123 () (forall @t8 @t102))
207.77/135.97	(define @t124 () (or @t123 @t115 @t112))
207.77/135.97	(define @t125 () (=> @t114 @t112))
207.77/135.97	(define @t126 () (not @t123))
207.77/135.97	(define @t127 () (_ (lambda @t11 @t111) @t1))
207.77/135.97	(define @t128 () (not @t127))
207.77/135.97	(define @t129 () (_ (lambda @t11 @t114) @t1))
207.77/135.97	(define @t130 () (=> @t129 @t128))
207.77/135.97	(define @t131 () (forall @t8 @t57))
207.77/135.97	(define @t132 () (not @t131))
207.77/135.97	(define @t133 () (=> @t9 @t130))
207.77/135.97	(define @t134 () (forall @t11 @t133))
207.77/135.97	(define @t135 () (@list @t95))
207.77/135.97	(define @t136 () (forall @t135 @t110))
207.77/135.97	(define @t137 () (forall @t135 @t109))
207.77/135.97	(define @t138 () (or @t137 @t108))
207.77/135.97	(define @t139 () (forall @t31 @t107))
207.77/135.97	(define @t140 () (not @t139))
207.77/135.97	(define @t141 () (not @t62))
207.77/135.97	(define @t142 () (or @t141 @t105))
207.77/135.97	(define @t143 () (and @t62 @t104))
207.77/135.97	(define @t144 () (forall @t31 (not @t143)))
207.77/135.97	(define @t145 () (not @t144))
207.77/135.97	(define @t146 () (not @t59))
207.77/135.97	(define @t147 () (or @t146 @t57))
207.77/135.97	(define @t148 () (forall @t31 @t141))
207.77/135.97	(define @t149 () (not @t148))
207.77/135.97	(define @t150 () (or @t57 @t19))
207.77/135.97	(define @t151 () (@quantifiers_skolemize @t100 2))
207.77/135.97	(define @t152 () (@quantifiers_skolemize @t100 1))
207.77/135.97	(define @t153 () (@quantifiers_skolemize @t100 0))
207.77/135.97	(define @t154 () (_ @t89 @t153 @t152))
207.77/135.97	(define @t155 () (_ @t90 @t154 @t151))
207.77/135.97	(define @t156 () (not (_ @t90 (_ @t89 @t153 @t5) @t4)))
207.77/135.97	(define @t157 () (forall @t97 (or @t96 (not (forall @t31 (or @t94 (not (forall @t60 (or @t93 @t156)))))))))
207.77/135.97	(define @t158 () (not @t157))
207.77/135.97	(define @t159 () (forall @t8 (or @t156 (_ @t90 (_ @t89 @t153 @t4) @t5))))
207.77/135.97	(define @t160 () (not @t159))
207.77/135.97	(define @t161 () (not @t155))
207.77/135.97	(define @t162 () (or @t161 @t160 @t158))
207.77/135.97	(define @t163 () (@list true))
207.77/135.97	(define @t164 () (@list @t162))
207.77/135.97	(define @t165 () (@var "ii" $$unsorted))
207.77/135.97	(define @t166 () (@var "u" (@ho-elim-sort (-> $$unsorted Bool))))
207.77/135.97	(define @t167 () (@var "e" Bool))
207.77/135.97	(define @t168 () (@var "i" $$unsorted))
207.77/135.97	(define @t169 () (@var "v" (@ho-elim-sort (-> $$unsorted Bool))))
207.77/135.97	(define @t170 () (_ @t90 @t169 @t165))
207.77/135.97	(define @t171 () (@list @t165))
207.77/135.97	(define @t172 () (@list @t169))
207.77/135.97	(define @t173 () (forall (@list @t166 @t167 @t168) (not (forall @t172 (not (forall @t171 (= @t170 (ite (= @t168 @t165) @t167 (_ @t90 @t166 @t165)))))))))
207.77/135.97	(define @t174 () (_ @t90 @t154 @t165))
207.77/135.97	(define @t175 () (ite (= @t152 @t165) @t155 @t174))
207.77/135.97	(define @t176 () (= @t170 @t175))
207.77/135.97	(define @t177 () (forall @t171 @t176))
207.77/135.97	(define @t178 () (not @t177))
207.77/135.97	(define @t179 () (forall @t172 @t178))
207.77/135.97	(define @t180 () (not @t179))
207.77/135.97	(define @t181 () (@list false))
207.77/135.97	(define @t182 () (ite (= @t165 @t152) @t155 @t174))
207.77/135.97	(define @t183 () (forall @t172 (not (forall @t171 (= @t170 @t182)))))
207.77/135.97	(define @t184 () (@quantifiers_skolemize @t183 0))
207.77/135.97	(define @t185 () (_ @t90 @t184 @t165))
207.77/135.97	(define @t186 () (forall @t171 (= @t182 @t185)))
207.77/135.97	(define @t187 () (not @t183))
207.77/135.97	(define @t188 () (forall @t171 (= @t185 @t182)))
207.77/135.97	(define @t189 () (not (not @t188)))
207.77/135.97	(define @t190 () (not (_ @t90 @t184 @t4)))
207.77/135.97	(define @t191 () (forall @t31 (or (not (_ @t90 @t184 @t5)) (not (forall @t60 (or @t190 @t156))))))
207.77/135.97	(define @t192 () (@quantifiers_skolemize @t191 0))
207.77/135.97	(define @t193 () (_ @t90 @t154 @t192))
207.77/135.97	(define @t194 () (ite (= @t192 @t152) @t155 @t193))
207.77/135.97	(define @t195 () (_ @t90 @t184 @t192))
207.77/135.97	(define @t196 () (= @t194 @t195))
207.77/135.97	(define @t197 () (@list @t186))
207.77/135.97	(define @t198 () (_ @t90 @t184 @t152))
207.77/135.97	(define @t199 () (_ @t90 @t154 @t152))
207.77/135.97	(define @t200 () (ite (= @t152 @t152) @t155 @t199))
207.77/135.97	(define @t201 () (= @t200 @t198))
207.77/135.97	(define @t202 () (@list @t152))
207.77/135.97	(define @t203 () (= @t155 @t198))
207.77/135.97	(define @t204 () (@list false false))
207.77/135.97	(define @t205 () (not @t191))
207.77/135.97	(define @t206 () (not @t198))
207.77/135.97	(define @t207 () (or @t206 @t205))
207.77/135.97	(define @t208 () (_ @t89 @t153 @t192))
207.77/135.97	(define @t209 () (forall @t60 (or @t190 (not (_ @t90 @t208 @t4)))))
207.77/135.97	(define @t210 () (not @t209))
207.77/135.97	(define @t211 () (not @t195))
207.77/135.97	(define @t212 () (or @t211 @t210))
207.77/135.97	(define @t213 () (@list @t212))
207.77/135.97	(define @t214 () (= @t152 @t192))
207.77/135.97	(define @t215 () (ite @t214 @t155 @t193))
207.77/135.97	(define @t216 () (= @t195 @t215))
207.77/135.97	(define @t217 () (_ @t90 @t208 @t152))
207.77/135.97	(define @t218 () (not @t217))
207.77/135.97	(define @t219 () (or @t206 @t218))
207.77/135.97	(define @t220 () (not @t193))
207.77/135.97	(define @t221 () (or @t220 @t217))
207.77/135.97	(define @t222 () (@list true false))
207.77/135.97	(define @t223 () (_ @t90 @t208 @t151))
207.77/135.97	(define @t224 () (@list @t151))
207.77/135.97	(define @t225 () (_ @t90 @t184 @t151))
207.77/135.97	(define @t226 () (= @t151 @t152))
207.77/135.97	(define @t227 () (= (ite @t226 @t155 @t155) @t225))
207.77/135.97	(define @t228 () (= @t155 @t225))
207.77/135.97	(define @t229 () (not @t223))
207.77/135.97	(define @t230 () (not @t225))
207.77/135.97	(define @t231 () (or @t230 @t229))
207.77/135.97	(assume @p1 @t13)
207.77/135.97	(assume @p2 true)
207.77/135.97	(step @p3 (= tptp.subrel @t17) :rule refl :args (@t17))
207.77/135.97	(step @p4 (= tptp.inv @t21) :rule refl :args (@t21))
207.77/135.97	(step @p5 (= tptp.idem @t25) :rule refl :args (@t25))
207.77/135.97	(step @p6 (= tptp.infl @t27) :rule refl :args (@t27))
207.77/135.97	(step @p7 (= tptp.mono @t29) :rule refl :args (@t29))
207.77/135.97	(step @p8 (= tptp.refl @t32) :rule refl :args (@t32))
207.77/135.97	(step @p9 (= tptp.irrefl @t33) :rule refl :args (@t33))
207.77/135.97	(step @p10 (= tptp.rc @t35) :rule refl :args (@t35))
207.77/135.97	(step @p11 (= tptp.symm @t37) :rule refl :args (@t37))
207.77/135.97	(step @p12 (= tptp.antisymm @t38) :rule refl :args (@t38))
207.77/135.97	(step @p13 (= tptp.asymm @t39) :rule refl :args (@t39))
207.77/135.97	(step @p14 (= tptp.sc @t40) :rule refl :args (@t40))
207.77/135.97	(step @p15 (= tptp.trans @t44) :rule refl :args (@t44))
207.77/135.97	(step @p16 (= tptp.tc @t45) :rule refl :args (@t45))
207.77/135.97	(step @p17 (= tptp.trc @t51) :rule refl :args (@t51))
207.77/135.97	(step @p18 (= tptp.trsc @t52) :rule refl :args (@t52))
207.77/135.97	(step @p19 (= tptp.po @t54) :rule refl :args (@t54))
207.77/135.97	(step @p20 (= tptp.so @t55) :rule refl :args (@t55))
207.77/135.97	(step @p21 (= tptp.total @t56) :rule refl :args (@t56))
207.77/135.97	(step @p22 (= tptp.term @t69) :rule refl :args (@t69))
207.77/135.97	(step @p23 (= tptp.ind @t72) :rule refl :args (@t72))
207.77/135.97	(step @p24 (= tptp.innf @t73) :rule refl :args (@t73))
207.77/135.97	(step @p25 (= tptp.nfof @t76) :rule refl :args (@t76))
207.77/135.97	(step @p26 (= tptp.norm @t77) :rule refl :args (@t77))
207.77/135.97	(step @p27 (= tptp.join @t80) :rule refl :args (@t80))
207.77/135.97	(step @p28 (= tptp.lconfl @t83) :rule refl :args (@t83))
207.77/135.97	(step @p29 (= tptp.sconfl @t85) :rule refl :args (@t85))
207.77/135.97	(step @p30 (= tptp.confl @t86) :rule refl :args (@t86))
207.77/135.97	(step @p31 (= tptp.cr @t87) :rule refl :args (@t87))
207.77/135.97	(step @p32 :rule evaluate :args ((= false true)))
207.77/135.97	; WARNING: add trust step for TRUST
207.77/135.97	; trust TRUST PREPROCESS_HO_ELIM
207.77/135.97	(step @p33 :rule trust :premises () :args ((= (not @t118) (not @t100))))
207.77/135.97	(step @p34 :rule quant-merge-prenex :args ((= (forall @t11 @t120) @t118)))
207.77/135.97	(step @p35 :rule refl :args (@t112))
207.77/135.97	(step @p36 :rule refl :args (@t115))
207.77/135.97	(step @p37 :rule alpha_equiv :args (@t121 (@list @t99 @t98) (@list @t5 @t4)))
207.77/135.97	(step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args (@t122))
207.77/135.97	(step @p39 :rule quant-miniscope-or :args ((= @t120 @t122)))
207.77/135.97	(step @p40 :rule trans :premises (@p39 @p38))
207.77/135.97	(step @p41 :rule symm :premises (@p40))
207.77/135.97	(step @p42 :rule cong :premises (@p41) :args ((forall @t11 @t124)))
207.77/135.97	(step @p43 :rule trans :premises (@p42 @p34))
207.77/135.97	(step @p44 :rule aci_norm :args ((= (or @t123 (or @t115 @t112)) @t124)))
207.77/135.97	(step @p45 :rule bool-impl-elim :args (@t114 @t112))
207.77/135.97	(step @p46 :rule refl :args (@t123))
207.77/135.97	(step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or @t123 @t125)))
207.77/135.97	(step @p48 :rule trans :premises (@p47 @p44))
207.77/135.97	(step @p49 :rule refl :args (@t125))
207.77/135.97	(step @p50 :rule bool-double-not-elim :args (@t123))
207.77/135.97	(step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t126) @t125)))
207.77/135.97	(step @p52 :rule bool-impl-elim :args (@t126 @t125))
207.77/135.97	(step @p53 :rule trans :premises (@p52 @p51))
207.77/135.97	(step @p54 :rule trans :premises (@p53 @p48))
207.77/135.97	(step @p55 :rule cong :premises (@p54) :args ((forall @t11 (=> @t126 @t125))))
207.77/135.97	(step @p56 :rule trans :premises (@p55 @p43))
207.77/135.97	(step @p57 :rule beta-reduce :args ((= @t127 @t111)))
207.77/135.97	(step @p58 :rule cong :premises (@p57) :args (@t128))
207.77/135.97	(step @p59 :rule beta-reduce :args ((= @t129 @t114)))
207.77/135.97	(step @p60 :rule cong :premises (@p59 @p58) :args (@t130))
207.77/135.97	(step @p61 :rule refl :args (@t101))
207.77/135.97	(step @p62 :rule refl :args (@t7))
207.77/135.97	(step @p63 :rule cong :premises (@p62 @p61) :args ((= @t7 @t101)))
207.77/135.97	(step @p64 :rule symm :premises (@p63))
207.77/135.97	(step @p65 :rule eq_resolve :premises (@p62 @p64))
207.77/135.97	(step @p66 :rule cong :premises (@p65) :args (@t57))
207.77/135.97	(step @p67 :rule cong :premises (@p66) :args (@t131))
207.77/135.97	(step @p68 :rule cong :premises (@p67) :args (@t132))
207.77/135.97	(step @p69 :rule exists-elim :args ((= @t9 @t132)))
207.77/135.97	(step @p70 :rule trans :premises (@p69 @p68))
207.77/135.97	(step @p71 :rule cong :premises (@p70 @p60) :args (@t133))
207.77/135.97	(step @p72 :rule cong :premises (@p71) :args (@t134))
207.77/135.97	(step @p73 :rule trans :premises (@p72 @p56))
207.77/135.97	(step @p74 :rule cong :premises (@p73) :args ((not @t134)))
207.77/135.97	(step @p75 :rule refl :args (@t1))
207.77/135.97	(step @p76 :rule quant-merge-prenex :args ((= (forall @t67 @t136) @t111)))
207.77/135.97	(step @p77 :rule refl :args (@t108))
207.77/135.97	(step @p78 :rule alpha_equiv :args (@t137 (@list @t95) (@list @t5)))
207.77/135.97	(step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t138))
207.77/135.97	(step @p80 :rule quant-miniscope-or :args ((= @t136 @t138)))
207.77/135.97	(step @p81 :rule trans :premises (@p80 @p79))
207.77/135.97	(step @p82 :rule symm :premises (@p81))
207.77/135.97	(step @p83 :rule cong :premises (@p82) :args ((forall @t67 (or @t139 @t108))))
207.77/135.97	(step @p84 :rule trans :premises (@p83 @p76))
207.77/135.97	(step @p85 :rule bool-double-not-elim :args (@t139))
207.77/135.97	(step @p86 :rule nary_cong :premises (@p85 @p77) :args ((or (not @t140) @t108)))
207.77/135.97	(step @p87 :rule bool-impl-elim :args (@t140 @t108))
207.77/135.97	(step @p88 :rule trans :premises (@p87 @p86))
207.77/135.97	(step @p89 :rule cong :premises (@p88) :args ((forall @t67 (=> @t140 @t108))))
207.77/135.97	(step @p90 :rule trans :premises (@p89 @p84))
207.77/135.97	(step @p91 :rule refl :args (@t105))
207.77/135.97	(step @p92 :rule refl :args (@t106))
207.77/135.97	(step @p93 :rule refl :args (@t62))
207.77/135.97	(step @p94 :rule cong :premises (@p93 @p92) :args ((= @t62 @t106)))
207.77/135.97	(step @p95 :rule symm :premises (@p94))
207.77/135.97	(step @p96 :rule eq_resolve :premises (@p93 @p95))
207.77/135.97	(step @p97 :rule cong :premises (@p96) :args (@t141))
207.77/135.97	(step @p98 :rule nary_cong :premises (@p97 @p91) :args (@t142))
207.77/135.97	(step @p99 :rule cong :premises (@p98) :args ((forall @t31 @t142)))
207.77/135.97	(step @p100 :rule bool-and-de-morgan :args (@t62 @t104 true))
207.77/135.97	(step @p101 :rule cong :premises (@p100) :args (@t144))
207.77/135.97	(step @p102 :rule trans :premises (@p101 @p99))
207.77/135.97	(step @p103 :rule cong :premises (@p102) :args (@t145))
207.77/135.97	(step @p104 :rule exists-elim :args ((= (exists @t31 @t143) @t145)))
207.77/135.97	(step @p105 :rule trans :premises (@p104 @p103))
207.77/135.97	(step @p106 :rule refl :args (@t103))
207.77/135.97	(step @p107 :rule refl :args (@t59))
207.77/135.97	(step @p108 :rule cong :premises (@p107 @p106) :args ((= @t59 @t103)))
207.77/135.97	(step @p109 :rule symm :premises (@p108))
207.77/135.97	(step @p110 :rule eq_resolve :premises (@p107 @p109))
207.77/135.97	(step @p111 :rule cong :premises (@p110) :args (@t146))
207.77/135.97	(step @p112 :rule nary_cong :premises (@p111 @p66) :args (@t147))
207.77/135.97	(step @p113 :rule cong :premises (@p112) :args ((forall @t60 @t147)))
207.77/135.97	(step @p114 :rule bool-impl-elim :args (@t59 @t57))
207.77/135.97	(step @p115 :rule cong :premises (@p114) :args (@t61))
207.77/135.97	(step @p116 :rule trans :premises (@p115 @p113))
207.77/135.97	(step @p117 :rule refl :args (@t62))
207.77/135.97	(step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t63))
207.77/135.97	(step @p119 :rule cong :premises (@p118) :args (@t64))
207.77/135.97	(step @p120 :rule trans :premises (@p119 @p105))
207.77/135.97	(step @p121 :rule cong :premises (@p97) :args (@t148))
207.77/135.97	(step @p122 :rule cong :premises (@p121) :args (@t149))
207.77/135.97	(step @p123 :rule exists-elim :args ((= @t65 @t149)))
207.77/135.97	(step @p124 :rule trans :premises (@p123 @p122))
207.77/135.97	(step @p125 :rule cong :premises (@p124 @p120) :args (@t66))
207.77/135.97	(step @p126 :rule cong :premises (@p125) :args (@t68))
207.77/135.97	(step @p127 :rule trans :premises (@p126 @p90))
207.77/135.97	(step @p128 :rule cong :premises (@p127) :args (@t69))
207.77/135.97	(step @p129 :rule trans :premises (@p22 @p128))
207.77/135.97	(step @p130 :rule ho_cong :premises (@p129 @p75))
207.77/135.97	(step @p131 :rule cong :premises (@p130) :args (@t2))
207.77/135.97	(step @p132 :rule refl :args (@t113))
207.77/135.97	(step @p133 :rule refl :args (@t19))
207.77/135.97	(step @p134 :rule cong :premises (@p133 @p132) :args ((= @t19 @t113)))
207.77/135.97	(step @p135 :rule symm :premises (@p134))
207.77/135.97	(step @p136 :rule eq_resolve :premises (@p133 @p135))
207.77/135.97	(step @p137 :rule nary_cong :premises (@p66 @p136) :args (@t150))
207.77/135.97	(step @p138 :rule cong :premises (@p137) :args ((forall @t8 @t150)))
207.77/135.97	(step @p139 :rule bool-impl-elim :args (@t7 @t19))
207.77/135.97	(step @p140 :rule cong :premises (@p139) :args (@t36))
207.77/135.97	(step @p141 :rule trans :premises (@p140 @p138))
207.77/135.97	(step @p142 :rule cong :premises (@p141) :args (@t37))
207.77/135.97	(step @p143 :rule trans :premises (@p11 @p142))
207.77/135.97	(step @p144 :rule ho_cong :premises (@p143 @p75))
207.77/135.97	(step @p145 :rule cong :premises (@p144 @p131) :args (@t3))
207.77/135.97	(step @p146 :rule refl :args (@t9))
207.77/135.97	(step @p147 :rule cong :premises (@p146 @p145) :args (@t10))
207.77/135.97	(step @p148 :rule cong :premises (@p147) :args (@t12))
207.77/135.97	(step @p149 :rule cong :premises (@p148) :args (@t13))
207.77/135.97	(step @p150 :rule trans :premises (@p149 @p74))
207.77/135.97	(step @p151 :rule trans :premises (@p150 @p33))
207.77/135.97	(step @p152 :rule eq_resolve :premises (@p1 @p151))
207.77/135.97	(step @p153 :rule skolemize :premises (@p152))
207.77/135.97	(step @p154 :rule bool-double-not-elim :args (@t155))
207.77/135.97	(step @p155 :rule refl :args (@t162))
207.77/135.97	(step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t162 (not @t161))))
207.77/135.97	(step @p157 :rule cnf_or_neg :args (@t162 0))
207.77/135.97	(step @p158 :rule eq_resolve :premises (@p157 @p156))
207.77/135.97	(step @p159 :rule reordering :premises (@p158) :args ((or @t155 @t162)))
207.77/135.97	(step @p160 :rule chain_resolution :premises (@p159 @p153) :args (@t163 @t164))
207.77/135.97	(step @p161 :rule true_intro :premises (@p160))
207.77/135.97	(step @p162 :rule refl :args (@t151))
207.77/135.97	; trust TRUST PREPROCESS_HO_ELIM_LEMMA
207.77/135.97	(step @p163 :rule trust :premises () :args (@t173))
207.77/135.97	(step @p164 :rule refl :args (@t174))
207.77/135.97	(step @p165 :rule refl :args (@t155))
207.77/135.97	(step @p166 :rule eq-symm :args (@t152 @t165))
207.77/135.97	(step @p167 :rule cong :premises (@p166 @p165 @p164) :args (@t175))
207.77/135.97	(step @p168 :rule refl :args (@t170))
207.77/135.97	(step @p169 :rule cong :premises (@p168 @p167) :args (@t176))
207.77/135.97	(step @p170 :rule cong :premises (@p169) :args (@t177))
207.77/135.97	(step @p171 :rule cong :premises (@p170) :args (@t178))
207.77/135.97	(step @p172 :rule cong :premises (@p171) :args (@t179))
207.77/135.97	(step @p173 :rule cong :premises (@p172) :args (@t180))
207.77/135.97	(step @p174 :rule refl :args (@t173))
207.77/135.97	(step @p175 :rule cong :premises (@p174 @p173) :args ((=> @t173 @t180)))
207.77/135.97	(assume-push @p303 @t173)
207.77/135.97	(step @p177 :rule instantiate :premises (@p163) :args ((@list @t154 @t155 @t152)))
207.77/135.97	(step-pop @p303 :rule scope :premises (@p177))
207.77/135.97	(step @p178 :rule process_scope :premises (@p303) :args (@t180))
207.77/135.97	(step @p180 :rule eq_resolve :premises (@p178 @p175))
207.77/135.97	(step @p181 :rule implies_elim :premises (@p180))
207.77/135.97	(step @p182 :rule chain_resolution :premises (@p181 @p163) :args (@t181 (@list @t173)))
207.77/135.97	(step @p183 :rule refl :args (@t186))
207.77/135.97	(step @p184 :rule bool-double-not-elim :args (@t183))
207.77/135.97	(step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or (not @t187) @t186)))
207.77/135.97	(step @p186 :rule eq-symm :args (@t185 @t182))
207.77/135.97	(step @p187 :rule cong :premises (@p186) :args (@t188))
207.77/135.97	(step @p188 :rule bool-double-not-elim :args (@t188))
207.77/135.97	(step @p189 :rule trans :premises (@p188 @p187))
207.77/135.97	(step @p190 :rule refl :args (@t187))
207.77/135.97	(step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t187 @t189)))
207.77/135.97	(assume-push @p305 @t187)
207.77/135.97	(step @p193 :rule skolemize :premises (@p182))
207.77/135.97	(step-pop @p305 :rule scope :premises (@p193))
207.77/135.97	(step @p194 :rule process_scope :premises (@p305) :args (@t189))
207.77/135.97	(step @p196 :rule eq_resolve :premises (@p194 @p191))
207.77/135.97	(step @p197 :rule implies_elim :premises (@p196))
207.77/135.97	(step @p198 :rule eq_resolve :premises (@p197 @p185))
207.77/135.97	(step @p199 :rule chain_resolution :premises (@p198 @p182) :args (@t163 (@list @t183)))
207.77/135.97	(step @p200 :rule refl :args (@t193))
207.77/135.97	(step @p201 :rule eq-symm :args (@t192 @t152))
207.77/135.97	(step @p202 :rule cong :premises (@p201 @p165 @p200) :args (@t194))
207.77/135.97	(step @p203 :rule refl :args (@t195))
207.77/135.97	(step @p204 :rule cong :premises (@p203 @p202) :args ((= @t195 @t194)))
207.77/135.97	(step @p205 :rule eq-symm :args (@t194 @t195))
207.77/135.97	(step @p206 :rule trans :premises (@p205 @p204))
207.77/135.97	(step @p207 :rule cong :premises (@p183 @p206) :args ((=> @t186 @t196)))
207.77/135.97	(assume-push @p307 @t186)
207.77/135.97	(step @p209 :rule instantiate :premises (@p199) :args ((@list @t192)))
207.77/135.97	(step-pop @p307 :rule scope :premises (@p209))
207.77/135.97	(step @p210 :rule process_scope :premises (@p307) :args (@t196))
207.77/135.97	(step @p212 :rule eq_resolve :premises (@p210 @p207))
207.77/135.97	(step @p213 :rule implies_elim :premises (@p212))
207.77/135.97	(step @p214 :rule chain_resolution :premises (@p213 @p199) :args (@t181 @t197))
207.77/135.97	(step @p215 :rule bool-double-not-elim :args (@t157))
207.77/135.97	(step @p216 :rule nary_cong :premises (@p155 @p215) :args ((or @t162 (not @t158))))
207.77/135.97	(step @p217 :rule cnf_or_neg :args (@t162 2))
207.77/135.97	(step @p218 :rule eq_resolve :premises (@p217 @p216))
207.77/135.97	(step @p219 :rule reordering :premises (@p218) :args ((or @t157 @t162)))
207.77/135.97	(step @p220 :rule chain_resolution :premises (@p219 @p153) :args (@t163 @t164))
207.77/135.97	(step @p221 :rule instantiate :premises (@p220) :args ((@list @t184 @t152)))
207.77/135.97	(step @p222 :rule refl :args (@t198))
207.77/135.97	(step @p223 :rule ite-true-cond :args (@t155 @t199))
207.77/135.97	(step @p224 :rule refl :args (@t199))
207.77/135.97	(step @p225 :rule eq-refl :args (@t152))
207.77/135.97	(step @p226 :rule cong :premises (@p225 @p165 @p224) :args (@t200))
207.77/135.97	(step @p227 :rule trans :premises (@p226 @p223))
207.77/135.97	(step @p228 :rule cong :premises (@p227 @p222) :args (@t201))
207.77/135.97	(step @p229 :rule cong :premises (@p183 @p228) :args ((=> @t186 @t201)))
207.77/135.97	(assume-push @p309 @t186)
207.77/135.97	(step @p231 :rule instantiate :premises (@p199) :args (@t202))
207.77/135.97	(step-pop @p309 :rule scope :premises (@p231))
207.77/135.97	(step @p232 :rule process_scope :premises (@p309) :args (@t201))
207.77/135.97	(step @p234 :rule eq_resolve :premises (@p232 @p229))
207.77/135.97	(step @p235 :rule implies_elim :premises (@p234))
207.77/135.97	(step @p236 :rule chain_resolution :premises (@p235 @p199) :args (@t181 @t197))
207.77/135.97	(step @p237 :rule cnf_equiv_pos1 :args (@t203))
207.77/135.97	(step @p238 :rule reordering :premises (@p237) :args ((or @t161 @t198 (not @t203))))
207.77/135.97	(step @p239 :rule chain_resolution :premises (@p238 @p160 @p236) :args (@t204 (@list @t155 @t203)))
207.77/135.97	(step @p240 :rule cnf_or_pos :args (@t207))
207.77/135.97	(step @p241 :rule reordering :premises (@p240) :args ((or @t206 @t205 (not @t207))))
207.77/135.97	(step @p242 :rule chain_resolution :premises (@p241 @p239 @p221) :args (@t204 (@list @t198 @t207)))
207.77/135.97	(step @p243 :rule skolemize :premises (@p242))
207.77/135.97	(step @p244 :rule bool-double-not-elim :args (@t195))
207.77/135.97	(step @p245 :rule refl :args (@t212))
207.77/135.97	(step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or @t212 (not @t211))))
207.77/135.97	(step @p247 :rule cnf_or_neg :args (@t212 0))
207.77/135.97	(step @p248 :rule eq_resolve :premises (@p247 @p246))
207.77/135.97	(step @p249 :rule reordering :premises (@p248) :args ((or @t195 @t212)))
207.77/135.97	(step @p250 :rule chain_resolution :premises (@p249 @p243) :args (@t163 @t213))
207.77/135.97	(step @p251 :rule cnf_equiv_pos1 :args (@t216))
207.77/135.97	(step @p252 :rule reordering :premises (@p251) :args ((or @t211 @t215 (not @t216))))
207.77/135.97	(step @p253 :rule chain_resolution :premises (@p252 @p250 @p214) :args (@t204 (@list @t195 @t216)))
207.77/135.97	(step @p254 :rule bool-double-not-elim :args (@t159))
207.77/135.97	(step @p255 :rule nary_cong :premises (@p155 @p254) :args ((or @t162 (not @t160))))
207.77/135.97	(step @p256 :rule cnf_or_neg :args (@t162 1))
207.77/135.97	(step @p257 :rule eq_resolve :premises (@p256 @p255))
207.77/135.97	(step @p258 :rule reordering :premises (@p257) :args ((or @t159 @t162)))
207.77/135.97	(step @p259 :rule chain_resolution :premises (@p258 @p153) :args (@t163 @t164))
207.77/135.97	(step @p260 :rule instantiate :premises (@p259) :args ((@list @t152 @t192)))
207.77/135.97	(step @p261 :rule bool-double-not-elim :args (@t209))
207.77/135.97	(step @p262 :rule nary_cong :premises (@p245 @p261) :args ((or @t212 (not @t210))))
207.77/135.97	(step @p263 :rule cnf_or_neg :args (@t212 1))
207.77/135.97	(step @p264 :rule eq_resolve :premises (@p263 @p262))
207.77/135.97	(step @p265 :rule reordering :premises (@p264) :args ((or @t209 @t212)))
207.77/135.97	(step @p266 :rule chain_resolution :premises (@p265 @p243) :args (@t163 @t213))
207.77/135.97	(step @p267 :rule instantiate :premises (@p266) :args (@t202))
207.77/135.97	(step @p268 :rule cnf_or_pos :args (@t219))
207.77/135.97	(step @p269 :rule reordering :premises (@p268) :args ((or @t206 @t218 (not @t219))))
207.77/135.97	(step @p270 :rule chain_resolution :premises (@p269 @p239 @p267) :args (@t204 (@list @t198 @t219)))
207.77/135.97	(step @p271 :rule cnf_or_pos :args (@t221))
207.77/135.97	(step @p272 :rule reordering :premises (@p271) :args ((or @t217 @t220 (not @t221))))
207.77/135.97	(step @p273 :rule chain_resolution :premises (@p272 @p270 @p260) :args (@t222 (@list @t217 @t221)))
207.77/135.97	(step @p274 :rule cnf_ite_pos2 :args (@t215))
207.77/135.97	(step @p275 :rule reordering :premises (@p274) :args ((or @t193 @t214 (not @t215))))
207.77/135.97	(step @p276 :rule chain_resolution :premises (@p275 @p273 @p253) :args (@t222 (@list @t193 @t215)))
207.77/135.97	(step @p277 :rule symm :premises (@p276))
207.77/135.97	(step @p278 :rule refl :args (@t153))
207.77/135.97	(step @p279 :rule cong :premises (@p278 @p277) :args (@t208))
207.77/135.97	(step @p280 :rule cong :premises (@p279 @p162) :args (@t223))
207.77/135.97	(step @p281 :rule instantiate :premises (@p266) :args (@t224))
207.77/135.97	(step @p282 :rule refl :args (@t225))
207.77/135.97	(step @p283 :rule ite-eq-branch :args (@t226 @t155))
207.77/135.97	(step @p284 :rule cong :premises (@p283 @p282) :args (@t227))
207.77/135.97	(step @p285 :rule cong :premises (@p183 @p284) :args ((=> @t186 @t227)))
207.77/135.97	(assume-push @p311 @t186)
207.77/135.97	(step @p287 :rule instantiate :premises (@p199) :args (@t224))
207.77/135.97	(step-pop @p311 :rule scope :premises (@p287))
207.77/135.97	(step @p288 :rule process_scope :premises (@p311) :args (@t227))
207.77/135.97	(step @p290 :rule eq_resolve :premises (@p288 @p285))
207.77/135.97	(step @p291 :rule implies_elim :premises (@p290))
207.77/135.97	(step @p292 :rule chain_resolution :premises (@p291 @p199) :args (@t181 @t197))
207.77/135.97	(step @p293 :rule cnf_equiv_pos1 :args (@t228))
207.77/135.97	(step @p294 :rule reordering :premises (@p293) :args ((or @t161 @t225 (not @t228))))
207.77/135.97	(step @p295 :rule chain_resolution :premises (@p294 @p160 @p292) :args (@t204 (@list @t155 @t228)))
207.77/135.97	(step @p296 :rule cnf_or_pos :args (@t231))
207.77/135.97	(step @p297 :rule reordering :premises (@p296) :args ((or @t230 @t229 (not @t231))))
207.77/135.98	(step @p298 :rule chain_resolution :premises (@p297 @p295 @p281) :args (@t204 (@list @t225 @t231)))
207.77/135.98	(step @p299 :rule false_intro :premises (@p298))
207.77/135.98	(step @p300 :rule symm :premises (@p299))
207.77/135.98	(step @p301 :rule trans :premises (@p300 @p280 @p161))
207.77/135.98	(step @p302 false :rule eq_resolve :premises (@p301 @p32))
207.77/135.98	)
207.77/135.98	% SZS output end Proof
207.77/135.98	% cvc5 exiting
207.77/135.98	EOF