0.07/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n029.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1920
0.12/0.33	% WCLimit  : 240
0.12/0.33	% DateTime : Fri Sep  5 21:38:07 EDT 2025
0.12/0.33	% CPUTime  : 
0.19/0.50	%----Proving TH0
161.08/161.34	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
161.08/161.34	--- 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...
161.08/161.34	--- 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...
161.08/161.34	--- Run --ho-elim --full-saturate-quant at 14s...
161.08/161.34	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
161.08/161.34	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
161.08/161.34	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
161.08/161.34	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s...
161.08/161.34	% SZS status Theorem
161.08/161.34	% SZS output start Proof
161.08/161.34	(
161.08/161.34	(declare-type tptp.reg ())
161.08/161.34	(declare-type $$unsorted ())
161.08/161.34	(declare-type tptp.mu ())
161.08/161.34	(declare-const tptp.c (-> tptp.reg tptp.reg Bool))
161.08/161.34	(declare-const tptp.a (-> $$unsorted $$unsorted Bool))
161.08/161.34	(declare-const tptp.paris tptp.reg)
161.08/161.34	(declare-const tptp.catalunya tptp.reg)
161.08/161.34	(declare-const tptp.france tptp.reg)
161.08/161.34	(declare-const tptp.spain tptp.reg)
161.08/161.34	(declare-const tptp.mfalse (-> $$unsorted Bool))
161.08/161.34	(declare-const tptp.fool (-> $$unsorted $$unsorted Bool))
161.08/161.34	(define tptp.meq_ind () (let ((_let_1 (@var "Y" tptp.mu))) (let ((_let_2 (@var "X" tptp.mu))) (lambda (@list _let_2 _let_1 (@var "W" $$unsorted)) (= _let_2 _let_1)))))
161.08/161.34	(define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
161.08/161.34	(define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1))))))
161.08/161.34	(define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
161.08/161.34	(define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1))))))
161.08/161.34	(define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
161.08/161.34	(define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
161.08/161.34	(define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1))))))
161.08/161.34	(define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1))))))
161.08/161.34	(define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
161.08/161.34	(define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
161.08/161.34	(define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1))))))
161.08/161.34	(define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1))))))
161.08/161.34	(define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true))
161.08/161.34	(define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1)))))))))
161.08/161.34	(define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1))))))
161.08/161.34	(define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
161.08/161.34	(define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
161.08/161.34	(define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1))))))))
161.08/161.34	(define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$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))))))))))
161.08/161.34	(define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1))))))))))
161.08/161.34	(define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1))))))))))
161.08/161.34	(define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1)))))))))))))
161.08/161.34	(define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))))
161.08/161.34	(define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))
161.08/161.34	(define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))))))
161.08/161.34	(define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1))))))
161.08/161.34	(define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1)))))))
161.08/161.34	(define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1))))))
161.08/161.34	(define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1)))))))
161.08/161.34	(define tptp.dc () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (not (_ (_ tptp.c _let_2) _let_1))))))
161.08/161.34	(define tptp.p () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.c _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))
161.08/161.34	(define tptp.eq () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (_ (_ tptp.p _let_2) _let_1))))))
161.08/161.34	(define tptp.o () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.p _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))
161.08/161.34	(define tptp.po () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.o _let_1) _let_2) (not (_ (_ tptp.p _let_1) _let_2)) (not (_ (_ tptp.p _let_2) _let_1)))))))
161.08/161.34	(define tptp.ec () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "X" tptp.reg))) (lambda (@list _let_2 _let_1) (and (_ (_ tptp.c _let_2) _let_1) (not (_ (_ tptp.o _let_2) _let_1)))))))
161.08/161.34	(define tptp.pp () (let ((_let_1 (@var "X" tptp.reg))) (let ((_let_2 (@var "Y" tptp.reg))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.p _let_1) _let_2) (not (_ (_ tptp.p _let_2) _let_1)))))))
161.08/161.34	(define tptp.tpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1))))))))))
161.08/161.34	(define tptp.ntpp () (let ((_let_1 (@var "Y" tptp.reg))) (let ((_let_2 (@var "Z" tptp.reg))) (let ((_let_3 (_ tptp.ec _let_2))) (let ((_let_4 (@var "X" tptp.reg))) (lambda (@list _let_4 _let_1) (and (_ (_ tptp.pp _let_4) _let_1) (not (exists (@list _let_2) (and (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))))
161.08/161.34	(define @t1 () (@var "X" tptp.reg))
161.08/161.34	(define @t2 () (_ tptp.c @t1))
161.08/161.34	(define @t3 () (@var "Y" tptp.reg))
161.08/161.34	(define @t4 () (_ @t2 @t3))
161.08/161.34	(define @t5 () (@list @t1 @t3))
161.08/161.34	(define @t6 () (@var "__flatten_var_0" $$unsorted))
161.08/161.34	(define @t7 () (@var "A" (-> $$unsorted Bool)))
161.08/161.34	(define @t8 () (_ tptp.mbox tptp.fool))
161.08/161.34	(define @t9 () (_ @t8 @t7))
161.08/161.34	(define @t10 () (_ tptp.mimplies @t9))
161.08/161.34	(define @t11 () (@list @t7 @t6))
161.08/161.34	(define @t12 () (@var "Z" tptp.reg))
161.08/161.34	(define @t13 () (_ tptp.o @t12))
161.08/161.34	(define @t14 () (and (_ @t13 tptp.france) (_ @t13 tptp.spain)))
161.08/161.34	(define @t15 () (and (_ @t13 tptp.paris) (_ @t13 tptp.catalunya)))
161.08/161.34	(define @t16 () (=> @t15 @t14))
161.08/161.34	(define @t17 () (@list @t12))
161.08/161.34	(define @t18 () (forall @t17 @t16))
161.08/161.34	(define @t19 () (@list (@var "X" $$unsorted)))
161.08/161.34	(define @t20 () (lambda @t19 @t18))
161.08/161.34	(define @t21 () (_ tptp.mbox tptp.a))
161.08/161.34	(define @t22 () (not (_ tptp.mvalid (_ @t21 @t20))))
161.08/161.34	(define @t23 () (lambda @t19 (_ (_ tptp.tpp tptp.catalunya) tptp.spain)))
161.08/161.34	(define @t24 () (@var "Phi" (-> $$unsorted Bool)))
161.08/161.34	(define @t25 () (lambda @t19 (_ (_ tptp.ntpp tptp.paris) tptp.france)))
161.08/161.34	(define @t26 () (@var "Y" tptp.mu))
161.08/161.34	(define @t27 () (@var "X" tptp.mu))
161.08/161.34	(define @t28 () (@var "W" $$unsorted))
161.08/161.34	(define @t29 () (lambda (@list @t27 @t26 @t28) (= @t27 @t26)))
161.08/161.34	(define @t30 () (@var "Y" (-> $$unsorted Bool)))
161.08/161.34	(define @t31 () (@var "X" (-> $$unsorted Bool)))
161.08/161.34	(define @t32 () (lambda (@list @t31 @t30 @t28) (= (_ @t31 @t28) (_ @t30 @t28))))
161.08/161.34	(define @t33 () (_ @t24 @t28))
161.08/161.34	(define @t34 () (not @t33))
161.08/161.34	(define @t35 () (@list @t24 @t28))
161.08/161.34	(define @t36 () (lambda @t35 @t34))
161.08/161.34	(define @t37 () (@var "Psi" (-> $$unsorted Bool)))
161.08/161.34	(define @t38 () (lambda (@list @t24 @t37 @t28) (or @t33 (_ @t37 @t28))))
161.08/161.34	(define @t39 () (_ tptp.mnot @t37))
161.08/161.34	(define @t40 () (_ tptp.mnot @t24))
161.08/161.34	(define @t41 () (_ tptp.mor @t40))
161.08/161.34	(define @t42 () (@list @t24 @t37 @t6))
161.08/161.34	(define @t43 () (lambda @t42 (_ (_ tptp.mnot (_ @t41 @t39)) @t6)))
161.08/161.34	(define @t44 () (lambda @t42 (_ (_ @t41 @t37) @t6)))
161.08/161.34	(define @t45 () (lambda @t42 (_ (_ (_ tptp.mor @t39) @t24) @t6)))
161.08/161.34	(define @t46 () (lambda @t42 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t24) @t37)) (_ (_ tptp.mimplies @t37) @t24)) @t6)))
161.08/161.34	(define @t47 () (lambda @t42 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t24) @t37)) @t6)))
161.08/161.34	(define @t48 () (@var "Phi" (-> tptp.mu $$unsorted Bool)))
161.08/161.34	(define @t49 () (_ @t48 @t27))
161.08/161.34	(define @t50 () (lambda (@list @t48 @t28) (forall (@list @t27) (_ @t49 @t28))))
161.08/161.34	(define @t51 () (@var "P" (-> $$unsorted Bool)))
161.08/161.34	(define @t52 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))
161.08/161.34	(define @t53 () (_ @t52 @t51))
161.08/161.34	(define @t54 () (lambda (@list @t52 @t28) (forall (@list @t51) (_ @t53 @t28))))
161.08/161.34	(define @t55 () (lambda (@list @t48 @t6) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t27 @t6) (_ (_ tptp.mnot @t49) @t6)))) @t6)))
161.08/161.34	(define @t56 () (lambda (@list @t52 @t6) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t51 @t6) (_ (_ tptp.mnot @t53) @t6)))) @t6)))
161.08/161.34	(define @t57 () (@list @t28))
161.08/161.34	(define @t58 () (lambda @t57 true))
161.08/161.34	(define @t59 () (@var "V" $$unsorted))
161.08/161.34	(define @t60 () (_ @t24 @t59))
161.08/161.34	(define @t61 () (@var "R" (-> $$unsorted $$unsorted Bool)))
161.08/161.34	(define @t62 () (_ (_ @t61 @t28) @t59))
161.08/161.34	(define @t63 () (not @t62))
161.08/161.34	(define @t64 () (or @t63 @t60))
161.08/161.34	(define @t65 () (@list @t59))
161.08/161.34	(define @t66 () (forall @t65 @t64))
161.08/161.34	(define @t67 () (@list @t61 @t24 @t28))
161.08/161.34	(define @t68 () (lambda @t67 @t66))
161.08/161.34	(define @t69 () (lambda (@list @t61 @t24 @t6) (_ (_ tptp.mnot (_ (_ tptp.mbox @t61) @t40)) @t6)))
161.08/161.34	(define @t70 () (@var "S" $$unsorted))
161.08/161.34	(define @t71 () (_ @t61 @t70))
161.08/161.34	(define @t72 () (@list @t70))
161.08/161.34	(define @t73 () (@list @t61))
161.08/161.34	(define @t74 () (lambda @t73 (forall @t72 (_ @t71 @t70))))
161.08/161.34	(define @t75 () (@var "T" $$unsorted))
161.08/161.34	(define @t76 () (_ @t61 @t75))
161.08/161.34	(define @t77 () (_ @t71 @t75))
161.08/161.34	(define @t78 () (lambda @t73 (forall (@list @t70 @t75) (=> @t77 (_ @t76 @t70)))))
161.08/161.34	(define @t79 () (@list @t75))
161.08/161.34	(define @t80 () (lambda @t73 (forall @t72 (exists @t79 @t77))))
161.08/161.34	(define @t81 () (@var "U" $$unsorted))
161.08/161.34	(define @t82 () (_ @t71 @t81))
161.08/161.34	(define @t83 () (_ @t76 @t81))
161.08/161.34	(define @t84 () (@list @t70 @t75 @t81))
161.08/161.34	(define @t85 () (lambda @t73 (forall @t84 (=> (and @t77 @t83) @t82))))
161.08/161.34	(define @t86 () (and @t77 @t82))
161.08/161.34	(define @t87 () (lambda @t73 (forall @t84 (=> @t86 @t83))))
161.08/161.34	(define @t88 () (= @t75 @t81))
161.08/161.34	(define @t89 () (lambda @t73 (forall @t84 (=> @t86 @t88))))
161.08/161.34	(define @t90 () (@list @t81))
161.08/161.34	(define @t91 () (lambda @t73 (forall @t72 (exists @t79 (and @t77 (forall @t90 (=> @t82 @t88)))))))
161.08/161.34	(define @t92 () (_ @t61 @t81))
161.08/161.34	(define @t93 () (_ @t92 @t75))
161.08/161.34	(define @t94 () (lambda @t73 (forall @t84 (=> @t77 (exists @t90 (and @t82 @t93))))))
161.08/161.34	(define @t95 () (lambda @t73 (forall @t84 (=> @t86 (or @t83 @t88 @t93)))))
161.08/161.34	(define @t96 () (lambda @t73 (forall @t84 (=> @t86 (exists @t65 (and (_ @t76 @t59) (_ @t92 @t59)))))))
161.08/161.34	(define @t97 () (forall @t57 @t33))
161.08/161.34	(define @t98 () (@list @t24))
161.08/161.34	(define @t99 () (lambda @t98 @t97))
161.08/161.34	(define @t100 () (lambda @t98 (forall @t57 @t34)))
161.08/161.34	(define @t101 () (lambda @t98 (exists @t57 @t33)))
161.08/161.34	(define @t102 () (lambda @t98 (exists @t57 @t34)))
161.08/161.34	(define @t103 () (lambda @t5 (not @t4)))
161.08/161.34	(define @t104 () (_ tptp.c @t12))
161.08/161.34	(define @t105 () (_ @t104 @t3))
161.08/161.34	(define @t106 () (_ @t104 @t1))
161.08/161.34	(define @t107 () (forall @t17 (=> @t106 @t105)))
161.08/161.34	(define @t108 () (lambda @t5 @t107))
161.08/161.34	(define @t109 () (_ (_ tptp.p @t3) @t1))
161.08/161.34	(define @t110 () (_ (_ tptp.p @t1) @t3))
161.08/161.34	(define @t111 () (lambda @t5 (and @t110 @t109)))
161.08/161.34	(define @t112 () (_ tptp.p @t12))
161.08/161.34	(define @t113 () (and (_ @t112 @t1) (_ @t112 @t3)))
161.08/161.34	(define @t114 () (exists @t17 @t113))
161.08/161.34	(define @t115 () (lambda @t5 @t114))
161.08/161.34	(define @t116 () (not @t109))
161.08/161.34	(define @t117 () (_ (_ tptp.o @t1) @t3))
161.08/161.34	(define @t118 () (lambda @t5 (and @t117 (not @t110) @t116)))
161.08/161.34	(define @t119 () (not @t117))
161.08/161.34	(define @t120 () (and @t4 @t119))
161.08/161.34	(define @t121 () (lambda @t5 @t120))
161.08/161.34	(define @t122 () (and @t110 @t116))
161.08/161.34	(define @t123 () (lambda @t5 @t122))
161.08/161.34	(define @t124 () (_ tptp.ec @t12))
161.08/161.34	(define @t125 () (and (_ @t124 @t1) (_ @t124 @t3)))
161.08/161.34	(define @t126 () (exists @t17 @t125))
161.08/161.34	(define @t127 () (_ (_ tptp.pp @t1) @t3))
161.08/161.34	(define @t128 () (and @t127 @t126))
161.08/161.34	(define @t129 () (lambda @t5 @t128))
161.08/161.34	(define @t130 () (not @t126))
161.08/161.34	(define @t131 () (and @t127 @t130))
161.08/161.34	(define @t132 () (lambda @t5 @t131))
161.08/161.34	(define @t133 () (not (tptp.a @t28 @t59)))
161.08/161.34	(define @t134 () (forall (@list @t28 @t59) @t133))
161.08/161.34	(define @t135 () (forall @t65 @t133))
161.08/161.34	(define @t136 () (forall @t57 @t135))
161.08/161.34	(define @t137 () (@var "BOUND_VARIABLE_8181" tptp.reg))
161.08/161.34	(define @t138 () (tptp.c @t137 tptp.catalunya))
161.08/161.34	(define @t139 () (@var "BOUND_VARIABLE_8779" tptp.reg))
161.08/161.34	(define @t140 () (not (tptp.c @t137 @t139)))
161.08/161.34	(define @t141 () (@list @t137))
161.08/161.34	(define @t142 () (not (forall @t141 (or @t140 @t138))))
161.08/161.34	(define @t143 () (tptp.c @t137 @t12))
161.08/161.34	(define @t144 () (not (forall @t141 (or @t140 @t143))))
161.08/161.34	(define @t145 () (tptp.c @t137 tptp.paris))
161.08/161.34	(define @t146 () (@var "BOUND_VARIABLE_8768" tptp.reg))
161.08/161.34	(define @t147 () (not (tptp.c @t137 @t146)))
161.08/161.34	(define @t148 () (not (forall @t141 (or @t147 @t145))))
161.08/161.34	(define @t149 () (not (forall @t141 (or @t147 @t143))))
161.08/161.34	(define @t150 () (tptp.c @t137 tptp.spain))
161.08/161.34	(define @t151 () (@var "BOUND_VARIABLE_8704" tptp.reg))
161.08/161.34	(define @t152 () (not (tptp.c @t137 @t151)))
161.08/161.34	(define @t153 () (not (forall @t141 (or @t152 @t150))))
161.08/161.34	(define @t154 () (not (forall @t141 (or @t152 @t143))))
161.08/161.34	(define @t155 () (@list @t151))
161.08/161.34	(define @t156 () (not (forall @t155 (or @t154 @t153))))
161.08/161.34	(define @t157 () (tptp.c @t137 tptp.france))
161.08/161.34	(define @t158 () (not (forall @t141 (or @t152 @t157))))
161.08/161.34	(define @t159 () (not (forall @t155 (or @t154 @t158))))
161.08/161.34	(define @t160 () (and @t159 @t156))
161.08/161.34	(define @t161 () (or @t160 @t149 @t148 @t144 @t142))
161.08/161.34	(define @t162 () (@list @t12 @t146 @t139))
161.08/161.34	(define @t163 () (forall @t162 @t161))
161.08/161.34	(define @t164 () (or @t163 @t136))
161.08/161.34	(define @t165 () (or @t163 @t135))
161.08/161.34	(define @t166 () (lambda @t57 @t165))
161.08/161.34	(define @t167 () (_ @t166 @t28))
161.08/161.34	(define @t168 () (forall @t57 @t167))
161.08/161.34	(define @t169 () (_ @t24 @t28))
161.08/161.34	(define @t170 () (lambda @t98 (forall @t57 @t169)))
161.08/161.34	(define @t171 () (or @t163 @t133))
161.08/161.34	(define @t172 () (or @t133 @t163))
161.08/161.34	(define @t173 () (lambda @t19 @t163))
161.08/161.34	(define @t174 () (_ @t173 @t59))
161.08/161.34	(define @t175 () (or @t133 @t174))
161.08/161.34	(define @t176 () (forall @t65 @t175))
161.08/161.34	(define @t177 () (lambda @t57 @t176))
161.08/161.34	(define @t178 () (_ @t24 @t59))
161.08/161.34	(define @t179 () (lambda @t35 (forall @t65 (or @t133 @t178))))
161.08/161.34	(define @t180 () (or @t144 @t142))
161.08/161.34	(define @t181 () (or @t149 @t148))
161.08/161.34	(define @t182 () (or @t181 @t180 @t160))
161.08/161.34	(define @t183 () (forall @t162 @t182))
161.08/161.34	(define @t184 () (forall (@list @t146 @t139) @t182))
161.08/161.34	(define @t185 () (forall (@list @t139) @t180))
161.08/161.34	(define @t186 () (@list @t151))
161.08/161.34	(define @t187 () (forall (@list @t146) @t181))
161.08/161.34	(define @t188 () (or @t187 @t185 @t160))
161.08/161.34	(define @t189 () (forall @t155 (or @t154 (not (forall @t141 (or @t152 @t138))))))
161.08/161.34	(define @t190 () (forall @t155 (or @t154 (not (forall @t141 (or @t152 @t145))))))
161.08/161.34	(define @t191 () (or @t190 @t189 @t160))
161.08/161.34	(define @t192 () (not @t189))
161.08/161.34	(define @t193 () (not @t190))
161.08/161.34	(define @t194 () (and @t193 @t192))
161.08/161.34	(define @t195 () (tptp.c @t137 @t3))
161.08/161.34	(define @t196 () (not (forall @t141 (or @t152 @t195))))
161.08/161.34	(define @t197 () (@list @t3))
161.08/161.34	(define @t198 () (lambda @t197 (not (forall @t155 (or @t154 @t196)))))
161.08/161.34	(define @t199 () (tptp.c @t137 @t1))
161.08/161.34	(define @t200 () (not @t143))
161.08/161.34	(define @t201 () (forall @t141 (or @t200 @t195)))
161.08/161.34	(define @t202 () (forall @t141 (or @t200 @t199)))
161.08/161.34	(define @t203 () (forall @t17 (or (not @t202) (not @t201))))
161.08/161.34	(define @t204 () (@list @t12))
161.08/161.34	(define @t205 () (not @t203))
161.08/161.34	(define @t206 () (lambda @t5 @t205))
161.08/161.34	(define @t207 () (_ @t206 @t12))
161.08/161.34	(define @t208 () (and (_ @t207 tptp.france) (_ @t207 tptp.spain)))
161.08/161.34	(define @t209 () (and (_ @t207 tptp.paris) (_ @t207 tptp.catalunya)))
161.08/161.34	(define @t210 () (=> @t209 @t208))
161.08/161.34	(define @t211 () (forall @t17 @t210))
161.08/161.34	(define @t212 () (lambda @t19 @t211))
161.08/161.34	(define @t213 () (_ @t61 @t28 @t59))
161.08/161.34	(define @t214 () (_ (lambda @t67 (forall @t65 (or (not @t213) @t178))) tptp.a))
161.08/161.34	(define @t215 () (and @t202 @t201))
161.08/161.34	(define @t216 () (forall @t17 (not @t215)))
161.08/161.34	(define @t217 () (not @t216))
161.08/161.34	(define @t218 () (lambda @t197 @t201))
161.08/161.34	(define @t219 () (tptp.c @t12 @t3))
161.08/161.34	(define @t220 () (tptp.c @t12 @t1))
161.08/161.34	(define @t221 () (not @t220))
161.08/161.34	(define @t222 () (forall @t17 (or @t221 @t219)))
161.08/161.34	(define @t223 () (lambda @t5 @t222))
161.08/161.34	(define @t224 () (_ @t223 @t12))
161.08/161.34	(define @t225 () (and (_ @t224 @t1) (_ @t224 @t3)))
161.08/161.34	(define @t226 () (not @t106))
161.08/161.34	(define @t227 () (or @t226 @t105))
161.08/161.34	(define @t228 () (@quantifiers_skolemize @t163 2))
161.08/161.34	(define @t229 () (not (tptp.c @t137 @t228)))
161.08/161.34	(define @t230 () (forall @t141 (or @t229 @t138)))
161.08/161.34	(define @t231 () (not @t230))
161.08/161.34	(define @t232 () (tptp.c @t137 (@quantifiers_skolemize @t163 0)))
161.08/161.34	(define @t233 () (forall @t141 (or @t229 @t232)))
161.08/161.34	(define @t234 () (not @t233))
161.08/161.34	(define @t235 () (@quantifiers_skolemize @t163 1))
161.08/161.34	(define @t236 () (not (tptp.c @t137 @t235)))
161.08/161.34	(define @t237 () (forall @t141 (or @t236 @t145)))
161.08/161.34	(define @t238 () (not @t237))
161.08/161.34	(define @t239 () (forall @t141 (or @t236 @t232)))
161.08/161.34	(define @t240 () (not @t239))
161.08/161.34	(define @t241 () (not (forall @t141 (or @t152 @t232))))
161.08/161.34	(define @t242 () (forall @t155 (or @t241 @t153)))
161.08/161.34	(define @t243 () (not @t242))
161.08/161.34	(define @t244 () (forall @t155 (or @t241 @t158)))
161.08/161.34	(define @t245 () (not @t244))
161.08/161.34	(define @t246 () (and @t245 @t243))
161.08/161.34	(define @t247 () (or @t246 @t240 @t238 @t234 @t231))
161.08/161.34	(define @t248 () (@list true))
161.08/161.34	(define @t249 () (@list @t247))
161.08/161.34	(define @t250 () (tptp.c @t12 tptp.catalunya))
161.08/161.34	(define @t251 () (tptp.c @t12 tptp.spain))
161.08/161.34	(define @t252 () (not @t251))
161.08/161.34	(define @t253 () (not @t250))
161.08/161.34	(define @t254 () (forall @t17 (or @t253 @t251)))
161.08/161.34	(define @t255 () (@var "BOUND_VARIABLE_8294" tptp.reg))
161.08/161.34	(define @t256 () (not (tptp.c @t137 @t255)))
161.08/161.34	(define @t257 () (not (forall @t141 (or @t256 @t143))))
161.08/161.34	(define @t258 () (@list @t255))
161.08/161.34	(define @t259 () (not (forall @t258 (or @t257 (not (forall @t141 (or @t256 @t138)))))))
161.08/161.34	(define @t260 () (and (not (forall @t17 (or @t253 @t259 @t252 (not (forall @t258 (or @t257 (not (forall @t141 (or @t256 @t150))))))))) @t254 (not (forall @t17 (or @t252 @t250)))))
161.08/161.34	(define @t261 () (or @t260 @t136))
161.08/161.34	(define @t262 () (or @t260 @t135))
161.08/161.34	(define @t263 () (lambda @t57 @t262))
161.08/161.34	(define @t264 () (_ @t263 @t28))
161.08/161.34	(define @t265 () (forall @t57 @t264))
161.08/161.34	(define @t266 () (or @t260 @t133))
161.08/161.34	(define @t267 () (or @t133 @t260))
161.08/161.34	(define @t268 () (lambda @t19 @t260))
161.08/161.34	(define @t269 () (_ @t268 @t59))
161.08/161.34	(define @t270 () (or @t133 @t269))
161.08/161.34	(define @t271 () (forall @t65 @t270))
161.08/161.34	(define @t272 () (lambda @t57 @t271))
161.08/161.34	(define @t273 () (not @t219))
161.08/161.34	(define @t274 () (not (forall @t141 (or @t256 @t195))))
161.08/161.34	(define @t275 () (forall @t258 (or @t257 @t274)))
161.08/161.34	(define @t276 () (not @t275))
161.08/161.34	(define @t277 () (lambda @t197 (and (not (forall @t17 (or @t253 @t259 @t273 @t276))) (forall @t17 (or @t253 @t219)) (not (forall @t17 (or @t273 @t250))))))
161.08/161.34	(define @t278 () (forall @t17 (or @t273 @t220)))
161.08/161.34	(define @t279 () (not @t278))
161.08/161.34	(define @t280 () (not (forall @t141 (or @t256 @t199))))
161.08/161.34	(define @t281 () (forall @t258 (or @t257 @t280)))
161.08/161.34	(define @t282 () (not @t281))
161.08/161.34	(define @t283 () (forall @t17 (or @t221 @t282 @t273 @t276)))
161.08/161.34	(define @t284 () (not @t283))
161.08/161.34	(define @t285 () (and @t284 @t222 @t279))
161.08/161.34	(define @t286 () (_ (lambda @t5 @t285) tptp.catalunya))
161.08/161.34	(define @t287 () (and @t222 @t279))
161.08/161.34	(define @t288 () (not @t105))
161.08/161.34	(define @t289 () (or @t226 @t282 @t288 @t276))
161.08/161.34	(define @t290 () (and @t105 @t275))
161.08/161.34	(define @t291 () (and @t106 @t281 @t105 @t275))
161.08/161.34	(define @t292 () (forall @t17 (not @t291)))
161.08/161.34	(define @t293 () (not @t292))
161.08/161.34	(define @t294 () (and @t106 @t281))
161.08/161.34	(define @t295 () (lambda @t197 @t290))
161.08/161.34	(define @t296 () (and @t4 @t203))
161.08/161.34	(define @t297 () (lambda @t5 @t296))
161.08/161.34	(define @t298 () (_ @t297 @t12))
161.08/161.34	(define @t299 () (and (_ @t298 @t1) (_ @t298 @t3)))
161.08/161.34	(define @t300 () (exists @t17 @t299))
161.08/161.34	(define @t301 () (lambda @t197 @t287))
161.08/161.34	(define @t302 () (_ (lambda @t5 @t287) @t1))
161.08/161.34	(define @t303 () (_ @t302 @t3))
161.08/161.34	(define @t304 () (lambda @t197 @t205))
161.08/161.34	(define @t305 () (_ @t206 @t1))
161.08/161.34	(define @t306 () (not (_ @t305 @t3)))
161.08/161.34	(define @t307 () (@var "BOUND_VARIABLE_8143" tptp.reg))
161.08/161.34	(define @t308 () (tptp.c @t12 @t307))
161.08/161.34	(define @t309 () (lambda (@list @t307) (forall @t17 (or @t273 @t308))))
161.08/161.34	(define @t310 () (not (_ (_ @t223 @t3) @t1)))
161.08/161.34	(define @t311 () (lambda @t197 @t222))
161.08/161.34	(define @t312 () (_ @t223 @t1))
161.08/161.34	(define @t313 () (@list @t134))
161.08/161.34	(define @t314 () (@list false))
161.08/161.34	(define @t315 () (forall @t141 (or @t229 @t150)))
161.08/161.34	(define @t316 () (@quantifiers_skolemize @t315 0))
161.08/161.34	(define @t317 () (@list @t316))
161.08/161.34	(define @t318 () (forall @t141 (or @t236 @t157)))
161.08/161.34	(define @t319 () (@quantifiers_skolemize @t318 0))
161.08/161.34	(define @t320 () (tptp.c @t319 @t235))
161.08/161.34	(define @t321 () (tptp.c @t319 tptp.france))
161.08/161.34	(define @t322 () (not @t320))
161.08/161.34	(define @t323 () (or @t322 @t321))
161.08/161.34	(define @t324 () (@list @t319))
161.08/161.34	(define @t325 () (tptp.c @t319 tptp.paris))
161.08/161.34	(define @t326 () (or @t322 @t325))
161.08/161.34	(define @t327 () (tptp.c @t12 tptp.paris))
161.08/161.34	(define @t328 () (tptp.c @t12 tptp.france))
161.08/161.34	(define @t329 () (not @t328))
161.08/161.34	(define @t330 () (not @t327))
161.08/161.34	(define @t331 () (forall @t17 (or @t330 @t328)))
161.08/161.34	(define @t332 () (not (forall @t258 (or @t257 (not (forall @t141 (or @t256 @t145)))))))
161.08/161.34	(define @t333 () (and (forall @t17 (or @t330 @t332 @t329 (not (forall @t258 (or @t257 (not (forall @t141 (or @t256 @t157)))))))) @t331 (not (forall @t17 (or @t329 @t327)))))
161.08/161.34	(define @t334 () (or @t333 @t136))
161.08/161.34	(define @t335 () (or @t333 @t135))
161.08/161.34	(define @t336 () (lambda @t57 @t335))
161.08/161.34	(define @t337 () (_ @t336 @t28))
161.08/161.34	(define @t338 () (forall @t57 @t337))
161.08/161.34	(define @t339 () (or @t333 @t133))
161.08/161.34	(define @t340 () (or @t133 @t333))
161.08/161.34	(define @t341 () (lambda @t19 @t333))
161.08/161.34	(define @t342 () (_ @t341 @t59))
161.08/161.34	(define @t343 () (or @t133 @t342))
161.08/161.34	(define @t344 () (forall @t65 @t343))
161.08/161.34	(define @t345 () (lambda @t57 @t344))
161.08/161.34	(define @t346 () (lambda @t197 (and (forall @t17 (or @t330 @t332 @t273 @t276)) (forall @t17 (or @t330 @t219)) (not (forall @t17 (or @t273 @t327))))))
161.08/161.34	(define @t347 () (and @t283 @t222 @t279))
161.08/161.34	(define @t348 () (_ (lambda @t5 @t347) tptp.paris))
161.08/161.34	(define @t349 () (not @t300))
161.08/161.34	(define @t350 () (not @t325))
161.08/161.34	(define @t351 () (or @t350 @t321))
161.08/161.34	(define @t352 () (not @t323))
161.08/161.34	(define @t353 () (not @t318))
161.08/161.34	(define @t354 () (or @t240 @t353))
161.08/161.34	(define @t355 () (@list false false))
161.08/161.34	(define @t356 () (not @t315))
161.08/161.34	(define @t357 () (or @t234 @t356))
161.08/161.34	(define @t358 () (tptp.c @t316 tptp.spain))
161.08/161.34	(define @t359 () (tptp.c @t316 @t228))
161.08/161.34	(define @t360 () (not @t359))
161.08/161.34	(define @t361 () (or @t360 @t358))
161.08/161.34	(define @t362 () (not @t361))
161.08/161.34	(define @t363 () (@list @t361))
161.08/161.34	(define @t364 () (tptp.c @t316 tptp.catalunya))
161.08/161.34	(define @t365 () (not @t364))
161.08/161.34	(define @t366 () (or @t365 @t358))
161.08/161.34	(define @t367 () (@list true false))
161.08/161.34	(define @t368 () (or @t360 @t364))
161.08/161.34	(assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue)))
161.08/161.34	(assume @p2 (forall (@list @t1) (_ @t2 @t1)))
161.08/161.34	(assume @p3 (forall @t5 (=> @t4 (_ (_ tptp.c @t3) @t1))))
161.08/161.34	(assume @p4 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 (_ @t8 @t9)) @t6)))))
161.08/161.34	(assume @p5 @t22)
161.08/161.34	(assume @p6 (_ tptp.mvalid (_ @t21 @t23)))
161.08/161.34	(assume @p7 (_ tptp.mvalid (_ @t8 (lambda @t19 (_ (_ tptp.ec tptp.spain) tptp.france)))))
161.08/161.34	(assume @p8 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t11 (_ (_ @t10 @t7) @t6)))))
161.08/161.34	(assume @p9 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t24 @t6) (_ (_ (_ tptp.mimplies (_ @t8 @t24)) (_ @t21 @t24)) @t6)))))
161.08/161.34	(assume @p10 (_ tptp.mvalid (_ @t21 @t25)))
161.08/161.34	(assume @p11 true)
161.08/161.34	(step @p12 (= tptp.meq_ind @t29) :rule refl :args (@t29))
161.08/161.34	(step @p13 (= tptp.meq_prop @t32) :rule refl :args (@t32))
161.08/161.34	(step @p14 (= tptp.mnot @t36) :rule refl :args (@t36))
161.08/161.34	(step @p15 (= tptp.mor @t38) :rule refl :args (@t38))
161.08/161.34	(step @p16 (= tptp.mand @t43) :rule refl :args (@t43))
161.08/161.34	(step @p17 (= tptp.mimplies @t44) :rule refl :args (@t44))
161.08/161.34	(step @p18 (= tptp.mimplied @t45) :rule refl :args (@t45))
161.08/161.34	(step @p19 (= tptp.mequiv @t46) :rule refl :args (@t46))
161.08/161.34	(step @p20 (= tptp.mxor @t47) :rule refl :args (@t47))
161.08/161.34	(step @p21 (= tptp.mforall_ind @t50) :rule refl :args (@t50))
161.08/161.34	(step @p22 (= tptp.mforall_prop @t54) :rule refl :args (@t54))
161.08/161.34	(step @p23 (= tptp.mexists_ind @t55) :rule refl :args (@t55))
161.08/161.34	(step @p24 (= tptp.mexists_prop @t56) :rule refl :args (@t56))
161.08/161.34	(step @p25 (= tptp.mtrue @t58) :rule refl :args (@t58))
161.08/161.34	(step @p26 (= tptp.mbox @t68) :rule refl :args (@t68))
161.08/161.34	(step @p27 (= tptp.mdia @t69) :rule refl :args (@t69))
161.08/161.34	(step @p28 (= tptp.mreflexive @t74) :rule refl :args (@t74))
161.08/161.34	(step @p29 (= tptp.msymmetric @t78) :rule refl :args (@t78))
161.08/161.34	(step @p30 (= tptp.mserial @t80) :rule refl :args (@t80))
161.08/161.34	(step @p31 (= tptp.mtransitive @t85) :rule refl :args (@t85))
161.08/161.34	(step @p32 (= tptp.meuclidean @t87) :rule refl :args (@t87))
161.08/161.34	(step @p33 (= tptp.mpartially_functional @t89) :rule refl :args (@t89))
161.08/161.34	(step @p34 (= tptp.mfunctional @t91) :rule refl :args (@t91))
161.08/161.34	(step @p35 (= tptp.mweakly_dense @t94) :rule refl :args (@t94))
161.08/161.34	(step @p36 (= tptp.mweakly_connected @t95) :rule refl :args (@t95))
161.08/161.34	(step @p37 (= tptp.mweakly_directed @t96) :rule refl :args (@t96))
161.08/161.34	(step @p38 (= tptp.mvalid @t99) :rule refl :args (@t99))
161.08/161.34	(step @p39 (= tptp.minvalid @t100) :rule refl :args (@t100))
161.08/161.34	(step @p40 (= tptp.msatisfiable @t101) :rule refl :args (@t101))
161.08/161.34	(step @p41 (= tptp.mcountersatisfiable @t102) :rule refl :args (@t102))
161.08/161.34	(step @p42 (= tptp.dc @t103) :rule refl :args (@t103))
161.08/161.34	(step @p43 (= tptp.p @t108) :rule refl :args (@t108))
161.08/161.34	(step @p44 (= tptp.eq @t111) :rule refl :args (@t111))
161.08/161.34	(step @p45 (= tptp.o @t115) :rule refl :args (@t115))
161.08/161.34	(step @p46 (= tptp.po @t118) :rule refl :args (@t118))
161.08/161.34	(step @p47 (= tptp.ec @t121) :rule refl :args (@t121))
161.08/161.34	(step @p48 (= tptp.pp @t123) :rule refl :args (@t123))
161.08/161.34	(step @p49 (= tptp.tpp @t129) :rule refl :args (@t129))
161.08/161.34	(step @p50 (= tptp.ntpp @t132) :rule refl :args (@t132))
161.08/161.34	(step @p51 :rule quant-merge-prenex :args ((= @t136 @t134)))
161.08/161.34	(step @p52 :rule refl :args (@t163))
161.08/161.34	(step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t164))
161.08/161.34	(step @p54 :rule quant-miniscope-or :args ((= (forall @t57 @t165) @t164)))
161.08/161.34	(step @p55 :rule trans :premises (@p54 @p53))
161.08/161.34	(step @p56 :rule beta-reduce :args ((= @t167 @t165)))
161.08/161.34	(step @p57 :rule cong :premises (@p56) :args (@t168))
161.08/161.34	(step @p58 :rule trans :premises (@p57 @p55))
161.08/161.34	(step @p59 :rule beta-reduce :args ((= (_ @t170 @t166) @t168)))
161.08/161.34	(step @p60 :rule trans :premises (@p59 @p58))
161.08/161.34	(step @p61 :rule quant-miniscope-or :args ((= (forall @t65 @t171) @t165)))
161.08/161.34	(step @p62 :rule aci_norm :args ((= @t172 @t171)))
161.08/161.34	(step @p63 :rule cong :premises (@p62) :args ((forall @t65 @t172)))
161.08/161.34	(step @p64 :rule trans :premises (@p63 @p61))
161.08/161.34	(step @p65 :rule beta-reduce :args ((= @t174 @t163)))
161.08/161.34	(step @p66 :rule refl :args (@t133))
161.08/161.34	(step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t175))
161.08/161.34	(step @p68 :rule cong :premises (@p67) :args (@t176))
161.08/161.34	(step @p69 :rule trans :premises (@p68 @p64))
161.08/161.34	(step @p70 :rule cong :premises (@p69) :args (@t177))
161.08/161.34	(step @p71 :rule beta-reduce :args ((= (_ @t179 @t173) @t177)))
161.08/161.34	(step @p72 :rule trans :premises (@p71 @p70))
161.08/161.34	(step @p73 :rule aci_norm :args ((= @t182 @t161)))
161.08/161.34	(step @p74 :rule cong :premises (@p73) :args (@t183))
161.08/161.34	(step @p75 :rule quant-merge-prenex :args ((= (forall @t17 @t184) @t183)))
161.08/161.34	(step @p76 :rule refl :args (@t160))
161.08/161.34	(step @p77 :rule alpha_equiv :args (@t185 (@list @t139) @t186))
161.08/161.34	(step @p78 :rule alpha_equiv :args (@t187 (@list @t146) @t186))
161.08/161.34	(step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args (@t188))
161.08/161.34	(step @p80 :rule quant-miniscope-or :args ((= @t184 @t188)))
161.08/161.34	(step @p81 :rule trans :premises (@p80 @p79))
161.08/161.34	(step @p82 :rule symm :premises (@p81))
161.08/161.34	(step @p83 :rule cong :premises (@p82) :args ((forall @t17 @t191)))
161.08/161.34	(step @p84 :rule trans :premises (@p83 @p75))
161.08/161.34	(step @p85 :rule trans :premises (@p84 @p74))
161.08/161.34	(step @p86 :rule aci_norm :args ((= (or (or @t190 @t189) @t160) @t191)))
161.08/161.34	(step @p87 :rule bool-double-not-elim :args (@t189))
161.08/161.34	(step @p88 :rule bool-double-not-elim :args (@t190))
161.08/161.34	(step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or (not @t193) (not @t192))))
161.08/161.34	(step @p90 :rule bool-and-de-morgan :args (@t193 @t192 true))
161.08/161.34	(step @p91 :rule trans :premises (@p90 @p89))
161.08/161.34	(step @p92 :rule nary_cong :premises (@p91 @p76) :args ((or (not @t194) @t160)))
161.08/161.34	(step @p93 :rule trans :premises (@p92 @p86))
161.08/161.34	(step @p94 :rule bool-impl-elim :args (@t194 @t160))
161.08/161.34	(step @p95 :rule trans :premises (@p94 @p93))
161.08/161.34	(step @p96 :rule cong :premises (@p95) :args ((forall @t17 (=> @t194 @t160))))
161.08/161.34	(step @p97 :rule trans :premises (@p96 @p85))
161.08/161.34	(step @p98 :rule beta-reduce :args ((= (_ @t198 tptp.spain) @t156)))
161.08/161.34	(step @p99 :rule refl :args (tptp.spain))
161.08/161.34	(step @p100 :rule beta-reduce :args ((= (_ (lambda @t5 (not (forall @t155 (or (not (forall @t141 (or @t152 @t199))) @t196)))) @t12) @t198)))
161.08/161.34	(step @p101 :rule refl :args (@t12))
161.08/161.34	(step @p102 :rule alpha_equiv :args (@t203 @t204 @t186))
161.08/161.34	(step @p103 :rule cong :premises (@p102) :args (@t205))
161.08/161.34	(step @p104 :rule cong :premises (@p103) :args (@t206))
161.08/161.34	(step @p105 :rule ho_cong :premises (@p104 @p101))
161.08/161.34	(step @p106 :rule trans :premises (@p105 @p100))
161.08/161.34	(step @p107 :rule ho_cong :premises (@p106 @p99))
161.08/161.34	(step @p108 :rule trans :premises (@p107 @p98))
161.08/161.34	(step @p109 :rule beta-reduce :args ((= (_ @t198 tptp.france) @t159)))
161.08/161.34	(step @p110 :rule refl :args (tptp.france))
161.08/161.34	(step @p111 :rule ho_cong :premises (@p106 @p110))
161.08/161.34	(step @p112 :rule trans :premises (@p111 @p109))
161.08/161.34	(step @p113 :rule nary_cong :premises (@p112 @p108) :args (@t208))
161.08/161.34	(step @p114 :rule beta-reduce :args ((= (_ @t198 tptp.catalunya) @t192)))
161.08/161.34	(step @p115 :rule refl :args (tptp.catalunya))
161.08/161.34	(step @p116 :rule ho_cong :premises (@p106 @p115))
161.08/161.34	(step @p117 :rule trans :premises (@p116 @p114))
161.08/161.34	(step @p118 :rule beta-reduce :args ((= (_ @t198 tptp.paris) @t193)))
161.08/161.34	(step @p119 :rule refl :args (tptp.paris))
161.08/161.34	(step @p120 :rule ho_cong :premises (@p106 @p119))
161.08/161.34	(step @p121 :rule trans :premises (@p120 @p118))
161.08/161.34	(step @p122 :rule nary_cong :premises (@p121 @p117) :args (@t209))
161.08/161.34	(step @p123 :rule cong :premises (@p122 @p113) :args (@t210))
161.08/161.34	(step @p124 :rule cong :premises (@p123) :args (@t211))
161.08/161.34	(step @p125 :rule trans :premises (@p124 @p97))
161.08/161.34	(step @p126 :rule cong :premises (@p125) :args (@t212))
161.08/161.34	(step @p127 :rule beta-reduce :args ((= @t214 @t179)))
161.08/161.34	(step @p128 :rule ho_cong :premises (@p127 @p126))
161.08/161.34	(step @p129 :rule trans :premises (@p128 @p72))
161.08/161.34	(step @p130 :rule refl :args (@t170))
161.08/161.34	(step @p131 :rule ho_cong :premises (@p130 @p129))
161.08/161.34	(step @p132 :rule trans :premises (@p131 @p60))
161.08/161.34	(step @p133 :rule cong :premises (@p132) :args ((not (_ @t170 (_ @t214 @t212)))))
161.08/161.34	(step @p134 :rule refl :args (@t12))
161.08/161.34	(step @p135 :rule bool-and-de-morgan :args (@t202 @t201 true))
161.08/161.34	(step @p136 :rule cong :premises (@p135) :args (@t216))
161.08/161.34	(step @p137 :rule cong :premises (@p136) :args (@t217))
161.08/161.34	(step @p138 :rule exists-elim :args ((= (exists @t17 @t215) @t217)))
161.08/161.34	(step @p139 :rule trans :premises (@p138 @p137))
161.08/161.34	(step @p140 :rule beta-reduce :args ((= (_ @t218 @t3) @t201)))
161.08/161.34	(step @p141 :rule refl :args (@t3))
161.08/161.34	(step @p142 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t141 (or (not @t199) @t195))) @t12) @t218)))
161.08/161.34	(step @p143 :rule alpha_equiv :args (@t222 @t204 (@list @t137)))
161.08/161.34	(step @p144 :rule cong :premises (@p143) :args (@t223))
161.08/161.34	(step @p145 :rule ho_cong :premises (@p144 @p101))
161.08/161.34	(step @p146 :rule trans :premises (@p145 @p142))
161.08/161.34	(step @p147 :rule ho_cong :premises (@p146 @p141))
161.08/161.34	(step @p148 :rule trans :premises (@p147 @p140))
161.08/161.34	(step @p149 :rule beta-reduce :args ((= (_ @t218 @t1) @t202)))
161.08/161.34	(step @p150 :rule refl :args (@t1))
161.08/161.34	(step @p151 :rule ho_cong :premises (@p146 @p150))
161.08/161.34	(step @p152 :rule trans :premises (@p151 @p149))
161.08/161.34	(step @p153 :rule nary_cong :premises (@p152 @p148) :args (@t225))
161.08/161.34	(step @p154 :rule cong :premises (@p153) :args ((exists @t17 @t225)))
161.08/161.34	(step @p155 :rule trans :premises (@p154 @p139))
161.08/161.34	(step @p156 :rule refl :args (@t219))
161.08/161.34	(step @p157 :rule refl :args (@t105))
161.08/161.34	(step @p158 :rule cong :premises (@p157 @p156) :args ((= @t105 @t219)))
161.08/161.34	(step @p159 :rule symm :premises (@p158))
161.08/161.34	(step @p160 :rule eq_resolve :premises (@p157 @p159))
161.08/161.34	(step @p161 :rule refl :args (@t220))
161.08/161.34	(step @p162 :rule refl :args (@t106))
161.08/161.34	(step @p163 :rule cong :premises (@p162 @p161) :args ((= @t106 @t220)))
161.08/161.34	(step @p164 :rule symm :premises (@p163))
161.08/161.34	(step @p165 :rule eq_resolve :premises (@p162 @p164))
161.08/161.34	(step @p166 :rule cong :premises (@p165) :args (@t226))
161.08/161.34	(step @p167 :rule nary_cong :premises (@p166 @p160) :args (@t227))
161.08/161.34	(step @p168 :rule cong :premises (@p167) :args ((forall @t17 @t227)))
161.08/161.34	(step @p169 :rule bool-impl-elim :args (@t106 @t105))
161.08/161.34	(step @p170 :rule cong :premises (@p169) :args (@t107))
161.08/161.34	(step @p171 :rule trans :premises (@p170 @p168))
161.08/161.34	(step @p172 :rule cong :premises (@p171) :args (@t108))
161.08/161.34	(step @p173 :rule trans :premises (@p43 @p172))
161.08/161.34	(step @p174 :rule ho_cong :premises (@p173 @p134))
161.08/161.34	(step @p175 :rule ho_cong :premises (@p174 @p141))
161.08/161.34	(step @p176 :rule ho_cong :premises (@p174 @p150))
161.08/161.34	(step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t113))
161.08/161.34	(step @p178 :rule cong :premises (@p177) :args (@t114))
161.08/161.34	(step @p179 :rule trans :premises (@p178 @p155))
161.08/161.34	(step @p180 :rule cong :premises (@p179) :args (@t115))
161.08/161.34	(step @p181 :rule trans :premises (@p45 @p180))
161.08/161.34	(step @p182 :rule ho_cong :premises (@p181 @p134))
161.08/161.34	(step @p183 :rule ho_cong :premises (@p182 @p99))
161.08/161.34	(step @p184 :rule ho_cong :premises (@p182 @p110))
161.08/161.34	(step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t14))
161.08/161.34	(step @p186 :rule ho_cong :premises (@p182 @p115))
161.08/161.34	(step @p187 :rule ho_cong :premises (@p182 @p119))
161.08/161.34	(step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t15))
161.08/161.34	(step @p189 :rule cong :premises (@p188 @p185) :args (@t16))
161.08/161.34	(step @p190 :rule cong :premises (@p189) :args (@t18))
161.08/161.34	(step @p191 :rule cong :premises (@p190) :args (@t20))
161.08/161.34	(step @p192 :rule refl :args (tptp.a))
161.08/161.34	(step @p193 :rule refl :args (@t178))
161.08/161.34	(step @p194 :rule refl :args (@t60))
161.08/161.34	(step @p195 :rule cong :premises (@p194 @p193) :args ((= @t60 @t178)))
161.08/161.34	(step @p196 :rule symm :premises (@p195))
161.08/161.34	(step @p197 :rule eq_resolve :premises (@p194 @p196))
161.08/161.34	(step @p198 :rule refl :args (@t213))
161.08/161.34	(step @p199 :rule refl :args (@t62))
161.08/161.34	(step @p200 :rule cong :premises (@p199 @p198) :args ((= @t62 @t213)))
161.08/161.34	(step @p201 :rule symm :premises (@p200))
161.08/161.34	(step @p202 :rule eq_resolve :premises (@p199 @p201))
161.08/161.34	(step @p203 :rule cong :premises (@p202) :args (@t63))
161.08/161.34	(step @p204 :rule nary_cong :premises (@p203 @p197) :args (@t64))
161.08/161.34	(step @p205 :rule cong :premises (@p204) :args (@t66))
161.08/161.34	(step @p206 :rule cong :premises (@p205) :args (@t68))
161.08/161.34	(step @p207 :rule trans :premises (@p26 @p206))
161.08/161.34	(step @p208 :rule ho_cong :premises (@p207 @p192))
161.08/161.34	(step @p209 :rule ho_cong :premises (@p208 @p191))
161.08/161.34	(step @p210 :rule refl :args (@t169))
161.08/161.34	(step @p211 :rule refl :args (@t33))
161.08/161.34	(step @p212 :rule cong :premises (@p211 @p210) :args ((= @t33 @t169)))
161.08/161.34	(step @p213 :rule symm :premises (@p212))
161.08/161.34	(step @p214 :rule eq_resolve :premises (@p211 @p213))
161.08/161.34	(step @p215 :rule cong :premises (@p214) :args (@t97))
161.08/161.34	(step @p216 :rule cong :premises (@p215) :args (@t99))
161.08/161.34	(step @p217 :rule trans :premises (@p38 @p216))
161.08/161.34	(step @p218 :rule ho_cong :premises (@p217 @p209))
161.08/161.34	(step @p219 :rule cong :premises (@p218) :args (@t22))
161.08/161.34	(step @p220 :rule trans :premises (@p219 @p133))
161.08/161.34	(step @p221 :rule eq_resolve :premises (@p5 @p220))
161.08/161.34	(step @p222 :rule not_or_elim :premises (@p221) :args (0))
161.08/161.34	(step @p223 :rule skolemize :premises (@p222))
161.08/161.34	(step @p224 :rule bool-double-not-elim :args (@t230))
161.08/161.34	(step @p225 :rule refl :args (@t247))
161.08/161.34	(step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t247 (not @t231))))
161.08/161.34	(step @p227 :rule cnf_or_neg :args (@t247 4))
161.08/161.34	(step @p228 :rule eq_resolve :premises (@p227 @p226))
161.08/161.34	(step @p229 :rule reordering :premises (@p228) :args ((or @t230 @t247)))
161.08/161.34	(step @p230 :rule chain_resolution :premises (@p229 @p223) :args (@t248 @t249))
161.08/161.34	(step @p231 :rule not_or_elim :premises (@p221) :args (1))
161.08/161.34	(step @p232 :rule refl :args (@t260))
161.08/161.34	(step @p233 :rule nary_cong :premises (@p232 @p51) :args (@t261))
161.08/161.34	(step @p234 :rule quant-miniscope-or :args ((= (forall @t57 @t262) @t261)))
161.08/161.34	(step @p235 :rule trans :premises (@p234 @p233))
161.08/161.34	(step @p236 :rule beta-reduce :args ((= @t264 @t262)))
161.08/161.34	(step @p237 :rule cong :premises (@p236) :args (@t265))
161.08/161.34	(step @p238 :rule trans :premises (@p237 @p235))
161.08/161.34	(step @p239 :rule beta-reduce :args ((= (_ @t170 @t263) @t265)))
161.08/161.34	(step @p240 :rule trans :premises (@p239 @p238))
161.08/161.34	(step @p241 :rule quant-miniscope-or :args ((= (forall @t65 @t266) @t262)))
161.08/161.34	(step @p242 :rule aci_norm :args ((= @t267 @t266)))
161.08/161.34	(step @p243 :rule cong :premises (@p242) :args ((forall @t65 @t267)))
161.08/161.34	(step @p244 :rule trans :premises (@p243 @p241))
161.08/161.34	(step @p245 :rule beta-reduce :args ((= @t269 @t260)))
161.08/161.34	(step @p246 :rule nary_cong :premises (@p66 @p245) :args (@t270))
161.08/161.34	(step @p247 :rule cong :premises (@p246) :args (@t271))
161.08/161.34	(step @p248 :rule trans :premises (@p247 @p244))
161.08/161.34	(step @p249 :rule cong :premises (@p248) :args (@t272))
161.08/161.34	(step @p250 :rule beta-reduce :args ((= (_ @t179 @t268) @t272)))
161.08/161.34	(step @p251 :rule trans :premises (@p250 @p249))
161.08/161.34	(step @p252 :rule beta-reduce :args ((= (_ @t277 tptp.spain) @t260)))
161.08/161.34	(step @p253 :rule beta-reduce :args ((= @t286 @t277)))
161.08/161.34	(step @p254 :rule ho_cong :premises (@p253 @p99))
161.08/161.34	(step @p255 :rule trans :premises (@p254 @p252))
161.08/161.34	(step @p256 :rule cong :premises (@p255) :args ((lambda @t19 (_ @t286 tptp.spain))))
161.08/161.34	(step @p257 :rule ho_cong :premises (@p127 @p256))
161.08/161.34	(step @p258 :rule trans :premises (@p257 @p251))
161.08/161.34	(step @p259 :rule ho_cong :premises (@p130 @p258))
161.08/161.34	(step @p260 :rule trans :premises (@p259 @p240))
161.08/161.34	(step @p261 :rule aci_norm :args ((= (and @t287 @t284) @t285)))
161.08/161.34	(step @p262 :rule refl :args (@t276))
161.08/161.34	(step @p263 :rule cong :premises (@p160) :args (@t288))
161.08/161.34	(step @p264 :rule refl :args (@t282))
161.08/161.34	(step @p265 :rule nary_cong :premises (@p166 @p264 @p263 @p262) :args (@t289))
161.08/161.34	(step @p266 :rule cong :premises (@p265) :args ((forall @t17 @t289)))
161.08/161.34	(step @p267 :rule aci_norm :args ((= (or @t226 (or @t282 (or @t288 @t276))) @t289)))
161.08/161.34	(step @p268 :rule bool-and-de-morgan :args (@t105 @t275 true))
161.08/161.34	(step @p269 :rule nary_cong :premises (@p264 @p268) :args ((or @t282 (not @t290))))
161.08/161.34	(step @p270 :rule bool-and-de-morgan :args (@t281 @t105 (and @t275)))
161.08/161.34	(step @p271 :rule trans :premises (@p270 @p269))
161.08/161.34	(step @p272 :rule refl :args (@t226))
161.08/161.34	(step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t226 (not (and @t281 @t105 @t275)))))
161.08/161.34	(step @p274 :rule bool-and-de-morgan :args (@t106 @t281 (and @t105 @t275)))
161.08/161.34	(step @p275 :rule trans :premises (@p274 @p273))
161.08/161.34	(step @p276 :rule trans :premises (@p275 @p267))
161.08/161.34	(step @p277 :rule cong :premises (@p276) :args (@t292))
161.08/161.34	(step @p278 :rule trans :premises (@p277 @p266))
161.08/161.34	(step @p279 :rule cong :premises (@p278) :args (@t293))
161.08/161.34	(step @p280 :rule exists-elim :args ((= (exists @t17 @t291) @t293)))
161.08/161.34	(step @p281 :rule trans :premises (@p280 @p279))
161.08/161.34	(step @p282 :rule aci_norm :args ((= (and @t294 @t290) @t291)))
161.08/161.34	(step @p283 :rule beta-reduce :args ((= (_ @t295 @t3) @t290)))
161.08/161.34	(step @p284 :rule beta-reduce :args ((= (_ (lambda @t5 (and @t4 (forall @t258 (or @t280 @t274)))) @t12) @t295)))
161.08/161.34	(step @p285 :rule alpha_equiv :args (@t203 @t204 (@list @t255)))
161.08/161.34	(step @p286 :rule refl :args (@t4))
161.08/161.34	(step @p287 :rule nary_cong :premises (@p286 @p285) :args (@t296))
161.08/161.34	(step @p288 :rule cong :premises (@p287) :args (@t297))
161.08/161.34	(step @p289 :rule ho_cong :premises (@p288 @p101))
161.08/161.34	(step @p290 :rule trans :premises (@p289 @p284))
161.08/161.34	(step @p291 :rule ho_cong :premises (@p290 @p141))
161.08/161.34	(step @p292 :rule trans :premises (@p291 @p283))
161.08/161.34	(step @p293 :rule beta-reduce :args ((= (_ @t295 @t1) @t294)))
161.08/161.34	(step @p294 :rule ho_cong :premises (@p290 @p150))
161.08/161.34	(step @p295 :rule trans :premises (@p294 @p293))
161.08/161.34	(step @p296 :rule nary_cong :premises (@p295 @p292) :args (@t299))
161.08/161.34	(step @p297 :rule trans :premises (@p296 @p282))
161.08/161.34	(step @p298 :rule cong :premises (@p297) :args (@t300))
161.08/161.34	(step @p299 :rule trans :premises (@p298 @p281))
161.08/161.34	(step @p300 :rule beta-reduce :args ((= (_ @t301 @t3) @t287)))
161.08/161.34	(step @p301 :rule beta-reduce :args ((= @t302 @t301)))
161.08/161.34	(step @p302 :rule ho_cong :premises (@p301 @p141))
161.08/161.34	(step @p303 :rule trans :premises (@p302 @p300))
161.08/161.34	(step @p304 :rule nary_cong :premises (@p303 @p299) :args ((and @t303 @t300)))
161.08/161.34	(step @p305 :rule trans :premises (@p304 @p261))
161.08/161.34	(step @p306 :rule bool-double-not-elim :args (@t203))
161.08/161.34	(step @p307 :rule beta-reduce :args ((= (_ @t304 @t3) @t205)))
161.08/161.34	(step @p308 :rule beta-reduce :args ((= @t305 @t304)))
161.08/161.34	(step @p309 :rule ho_cong :premises (@p308 @p141))
161.08/161.34	(step @p310 :rule trans :premises (@p309 @p307))
161.08/161.34	(step @p311 :rule cong :premises (@p310) :args (@t306))
161.08/161.34	(step @p312 :rule trans :premises (@p311 @p306))
161.08/161.34	(step @p313 :rule refl :args (@t4))
161.08/161.34	(step @p314 :rule nary_cong :premises (@p313 @p312) :args ((and @t4 @t306)))
161.08/161.34	(step @p315 :rule ho_cong :premises (@p181 @p150))
161.08/161.34	(step @p316 :rule ho_cong :premises (@p315 @p141))
161.08/161.34	(step @p317 :rule cong :premises (@p316) :args (@t119))
161.08/161.34	(step @p318 :rule nary_cong :premises (@p313 @p317) :args (@t120))
161.08/161.34	(step @p319 :rule trans :premises (@p318 @p314))
161.08/161.34	(step @p320 :rule cong :premises (@p319) :args (@t121))
161.08/161.34	(step @p321 :rule trans :premises (@p47 @p320))
161.08/161.34	(step @p322 :rule ho_cong :premises (@p321 @p134))
161.08/161.34	(step @p323 :rule ho_cong :premises (@p322 @p141))
161.08/161.34	(step @p324 :rule ho_cong :premises (@p322 @p150))
161.08/161.34	(step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t125))
161.08/161.34	(step @p326 :rule cong :premises (@p325) :args (@t126))
161.08/161.34	(step @p327 :rule beta-reduce :args ((= (_ @t309 @t1) @t278)))
161.08/161.34	(step @p328 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t307) (forall @t17 (or @t221 @t308))) @t3) @t309)))
161.08/161.34	(step @p329 :rule refl :args (@t3))
161.08/161.34	(step @p330 :rule alpha_equiv :args (@t223 (@list @t3) (@list @t307)))
161.08/161.34	(step @p331 :rule ho_cong :premises (@p330 @p329))
161.08/161.34	(step @p332 :rule trans :premises (@p331 @p328))
161.08/161.34	(step @p333 :rule ho_cong :premises (@p332 @p150))
161.08/161.34	(step @p334 :rule trans :premises (@p333 @p327))
161.08/161.34	(step @p335 :rule cong :premises (@p334) :args (@t310))
161.08/161.34	(step @p336 :rule beta-reduce :args ((= (_ @t311 @t3) @t222)))
161.08/161.34	(step @p337 :rule beta-reduce :args ((= @t312 @t311)))
161.08/161.34	(step @p338 :rule ho_cong :premises (@p337 @p141))
161.08/161.34	(step @p339 :rule trans :premises (@p338 @p336))
161.08/161.34	(step @p340 :rule nary_cong :premises (@p339 @p335) :args ((and (_ @t312 @t3) @t310)))
161.08/161.34	(step @p341 :rule ho_cong :premises (@p173 @p141))
161.08/161.34	(step @p342 :rule ho_cong :premises (@p341 @p150))
161.08/161.34	(step @p343 :rule cong :premises (@p342) :args (@t116))
161.08/161.34	(step @p344 :rule ho_cong :premises (@p173 @p150))
161.08/161.34	(step @p345 :rule ho_cong :premises (@p344 @p141))
161.08/161.34	(step @p346 :rule nary_cong :premises (@p345 @p343) :args (@t122))
161.08/161.34	(step @p347 :rule trans :premises (@p346 @p340))
161.08/161.34	(step @p348 :rule cong :premises (@p347) :args (@t123))
161.08/161.34	(step @p349 :rule trans :premises (@p48 @p348))
161.08/161.34	(step @p350 :rule ho_cong :premises (@p349 @p150))
161.08/161.34	(step @p351 :rule ho_cong :premises (@p350 @p141))
161.08/161.34	(step @p352 :rule nary_cong :premises (@p351 @p326) :args (@t128))
161.08/161.34	(step @p353 :rule trans :premises (@p352 @p305))
161.08/161.34	(step @p354 :rule cong :premises (@p353) :args (@t129))
161.08/161.34	(step @p355 :rule trans :premises (@p49 @p354))
161.08/161.34	(step @p356 :rule ho_cong :premises (@p355 @p115))
161.08/161.34	(step @p357 :rule ho_cong :premises (@p356 @p99))
161.08/161.34	(step @p358 :rule cong :premises (@p357) :args (@t23))
161.08/161.34	(step @p359 :rule ho_cong :premises (@p208 @p358))
161.08/161.34	(step @p360 :rule ho_cong :premises (@p217 @p359))
161.08/161.34	(step @p361 :rule trans :premises (@p360 @p260))
161.08/161.34	(step @p362 :rule eq_resolve :premises (@p6 @p361))
161.08/161.34	(step @p363 :rule reordering :premises (@p362) :args ((or @t134 @t260)))
161.08/161.34	(step @p364 :rule chain_resolution :premises (@p363 @p231) :args (@t248 @t313))
161.08/161.34	(step @p365 :rule cnf_and_pos :args (@t260 1))
161.08/161.34	(step @p366 :rule reordering :premises (@p365) :args ((or @t254 (not @t260))))
161.08/161.34	(step @p367 :rule chain_resolution :premises (@p366 @p364) :args (@t314 (@list @t260)))
161.08/161.34	(step @p368 :rule instantiate :premises (@p367) :args (@t317))
161.08/161.34	(step @p369 :rule cnf_or_neg :args (@t247 0))
161.08/161.34	(step @p370 :rule chain_resolution :premises (@p369 @p223) :args (@t248 @t249))
161.08/161.34	(step @p371 :rule bool-double-not-elim :args (@t320))
161.08/161.34	(step @p372 :rule refl :args (@t323))
161.08/161.34	(step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or @t323 (not @t322))))
161.08/161.34	(step @p374 :rule cnf_or_neg :args (@t323 0))
161.08/161.34	(step @p375 :rule eq_resolve :premises (@p374 @p373))
161.08/161.34	(step @p376 :rule reordering :premises (@p375) :args ((or @t320 @t323)))
161.08/161.34	(step @p377 :rule cnf_or_neg :args (@t323 1))
161.08/161.34	(step @p378 :rule bool-double-not-elim :args (@t237))
161.08/161.34	(step @p379 :rule nary_cong :premises (@p225 @p378) :args ((or @t247 (not @t238))))
161.08/161.34	(step @p380 :rule cnf_or_neg :args (@t247 2))
161.08/161.34	(step @p381 :rule eq_resolve :premises (@p380 @p379))
161.08/161.34	(step @p382 :rule reordering :premises (@p381) :args ((or @t237 @t247)))
161.08/161.34	(step @p383 :rule chain_resolution :premises (@p382 @p223) :args (@t248 @t249))
161.08/161.34	(step @p384 :rule instantiate :premises (@p383) :args (@t324))
161.08/161.34	(step @p385 :rule cnf_or_pos :args (@t326))
161.08/161.34	(step @p386 :rule reordering :premises (@p385) :args ((or @t322 @t325 (not @t326))))
161.08/161.34	(step @p387 :rule refl :args (@t333))
161.08/161.34	(step @p388 :rule nary_cong :premises (@p387 @p51) :args (@t334))
161.08/161.34	(step @p389 :rule quant-miniscope-or :args ((= (forall @t57 @t335) @t334)))
161.08/161.34	(step @p390 :rule trans :premises (@p389 @p388))
161.08/161.34	(step @p391 :rule beta-reduce :args ((= @t337 @t335)))
161.08/161.34	(step @p392 :rule cong :premises (@p391) :args (@t338))
161.08/161.34	(step @p393 :rule trans :premises (@p392 @p390))
161.08/161.34	(step @p394 :rule beta-reduce :args ((= (_ @t170 @t336) @t338)))
161.08/161.34	(step @p395 :rule trans :premises (@p394 @p393))
161.08/161.34	(step @p396 :rule quant-miniscope-or :args ((= (forall @t65 @t339) @t335)))
161.08/161.34	(step @p397 :rule aci_norm :args ((= @t340 @t339)))
161.08/161.34	(step @p398 :rule cong :premises (@p397) :args ((forall @t65 @t340)))
161.08/161.34	(step @p399 :rule trans :premises (@p398 @p396))
161.08/161.34	(step @p400 :rule beta-reduce :args ((= @t342 @t333)))
161.08/161.34	(step @p401 :rule nary_cong :premises (@p66 @p400) :args (@t343))
161.08/161.34	(step @p402 :rule cong :premises (@p401) :args (@t344))
161.08/161.34	(step @p403 :rule trans :premises (@p402 @p399))
161.08/161.34	(step @p404 :rule cong :premises (@p403) :args (@t345))
161.08/161.34	(step @p405 :rule beta-reduce :args ((= (_ @t179 @t341) @t345)))
161.08/161.34	(step @p406 :rule trans :premises (@p405 @p404))
161.08/161.34	(step @p407 :rule beta-reduce :args ((= (_ @t346 tptp.france) @t333)))
161.08/161.34	(step @p408 :rule beta-reduce :args ((= @t348 @t346)))
161.08/161.34	(step @p409 :rule ho_cong :premises (@p408 @p110))
161.08/161.34	(step @p410 :rule trans :premises (@p409 @p407))
161.08/161.34	(step @p411 :rule cong :premises (@p410) :args ((lambda @t19 (_ @t348 tptp.france))))
161.08/161.34	(step @p412 :rule ho_cong :premises (@p127 @p411))
161.08/161.34	(step @p413 :rule trans :premises (@p412 @p406))
161.08/161.34	(step @p414 :rule ho_cong :premises (@p130 @p413))
161.08/161.34	(step @p415 :rule trans :premises (@p414 @p395))
161.08/161.34	(step @p416 :rule aci_norm :args ((= (and @t287 @t283) @t347)))
161.08/161.34	(step @p417 :rule bool-double-not-elim :args (@t283))
161.08/161.34	(step @p418 :rule cong :premises (@p299) :args (@t349))
161.08/161.34	(step @p419 :rule trans :premises (@p418 @p417))
161.08/161.34	(step @p420 :rule nary_cong :premises (@p303 @p419) :args ((and @t303 @t349)))
161.08/161.34	(step @p421 :rule trans :premises (@p420 @p416))
161.08/161.34	(step @p422 :rule cong :premises (@p326) :args (@t130))
161.08/161.34	(step @p423 :rule nary_cong :premises (@p351 @p422) :args (@t131))
161.08/161.34	(step @p424 :rule trans :premises (@p423 @p421))
161.08/161.34	(step @p425 :rule cong :premises (@p424) :args (@t132))
161.08/161.34	(step @p426 :rule trans :premises (@p50 @p425))
161.08/161.34	(step @p427 :rule ho_cong :premises (@p426 @p119))
161.08/161.34	(step @p428 :rule ho_cong :premises (@p427 @p110))
161.08/161.34	(step @p429 :rule cong :premises (@p428) :args (@t25))
161.08/161.34	(step @p430 :rule ho_cong :premises (@p208 @p429))
161.08/161.34	(step @p431 :rule ho_cong :premises (@p217 @p430))
161.08/161.34	(step @p432 :rule trans :premises (@p431 @p415))
161.08/161.34	(step @p433 :rule eq_resolve :premises (@p10 @p432))
161.08/161.34	(step @p434 :rule reordering :premises (@p433) :args ((or @t134 @t333)))
161.08/161.34	(step @p435 :rule chain_resolution :premises (@p434 @p231) :args (@t248 @t313))
161.08/161.34	(step @p436 :rule cnf_and_pos :args (@t333 1))
161.08/161.34	(step @p437 :rule reordering :premises (@p436) :args ((or @t331 (not @t333))))
161.08/161.34	(step @p438 :rule chain_resolution :premises (@p437 @p435) :args (@t314 (@list @t333)))
161.08/161.34	(step @p439 :rule instantiate :premises (@p438) :args (@t324))
161.08/161.34	(step @p440 :rule cnf_or_pos :args (@t351))
161.08/161.34	(step @p441 :rule reordering :premises (@p440) :args ((or @t321 @t350 (not @t351))))
161.08/161.34	(step @p442 :rule chain_resolution :premises (@p441 @p439 @p386 @p384 @p377 @p376) :args ((@list false false false true false) (@list @t351 @t325 @t326 @t321 @t320)))
161.08/161.34	(step @p443 :rule factoring :premises (@p442))
161.08/161.34	(step @p444 :rule refl :args (@t352))
161.08/161.34	(step @p445 :rule bool-double-not-elim :args (@t318))
161.08/161.34	(step @p446 :rule nary_cong :premises (@p445 @p444) :args ((or (not @t353) @t352)))
161.08/161.34	(assume-push @p523 @t353)
161.08/161.34	(step @p448 :rule skolemize :premises (@p523))
161.08/161.34	(step-pop @p523 :rule scope :premises (@p448))
161.08/161.34	(step @p449 :rule process_scope :premises (@p523) :args (@t352))
161.08/161.34	(step @p451 :rule implies_elim :premises (@p449))
161.08/161.34	(step @p452 :rule eq_resolve :premises (@p451 @p446))
161.08/161.34	(step @p453 :rule chain_resolution :premises (@p452 @p443) :args (@t314 (@list @t323)))
161.08/161.34	(step @p454 :rule bool-double-not-elim :args (@t239))
161.08/161.34	(step @p455 :rule nary_cong :premises (@p225 @p454) :args ((or @t247 (not @t240))))
161.08/161.34	(step @p456 :rule cnf_or_neg :args (@t247 1))
161.08/161.34	(step @p457 :rule eq_resolve :premises (@p456 @p455))
161.08/161.34	(step @p458 :rule reordering :premises (@p457) :args ((or @t239 @t247)))
161.08/161.34	(step @p459 :rule chain_resolution :premises (@p458 @p223) :args (@t248 @t249))
161.08/161.34	(step @p460 :rule cnf_or_pos :args (@t354))
161.08/161.34	(step @p461 :rule reordering :premises (@p460) :args ((or @t240 @t353 (not @t354))))
161.08/161.34	(step @p462 :rule chain_resolution :premises (@p461 @p459 @p453) :args (@t355 (@list @t239 @t318)))
161.08/161.34	(assume-push @p525 @t244)
161.08/161.34	(step @p464 :rule instantiate :premises (@p525) :args ((@list @t235)))
161.08/161.34	(step-pop @p525 :rule scope :premises (@p464))
161.08/161.34	(step @p465 :rule process_scope :premises (@p525) :args (@t354))
161.08/161.34	(step @p467 :rule implies_elim :premises (@p465))
161.08/161.34	(step @p468 :rule chain_resolution :premises (@p467 @p462) :args (@t248 (@list @t354)))
161.08/161.34	(step @p469 :rule bool-double-not-elim :args (@t242))
161.08/161.34	(step @p470 :rule bool-double-not-elim :args (@t244))
161.08/161.34	(step @p471 :rule refl :args (@t246))
161.08/161.34	(step @p472 :rule nary_cong :premises (@p471 @p470 @p469) :args ((or @t246 (not @t245) (not @t243))))
161.08/161.34	(step @p473 :rule cnf_and_neg :args (@t246))
161.08/161.34	(step @p474 :rule eq_resolve :premises (@p473 @p472))
161.08/161.34	(step @p475 :rule reordering :premises (@p474) :args ((or @t244 @t242 @t246)))
161.08/161.34	(step @p476 :rule chain_resolution :premises (@p475 @p468 @p370) :args ((@list true true) (@list @t244 @t246)))
161.08/161.34	(assume-push @p527 @t242)
161.08/161.34	(step @p478 :rule instantiate :premises (@p527) :args ((@list @t228)))
161.08/161.34	(step-pop @p527 :rule scope :premises (@p478))
161.08/161.34	(step @p479 :rule process_scope :premises (@p527) :args (@t357))
161.08/161.34	(step @p481 :rule implies_elim :premises (@p479))
161.08/161.34	(step @p482 :rule chain_resolution :premises (@p481 @p476) :args (@t314 (@list @t242)))
161.08/161.34	(step @p483 :rule bool-double-not-elim :args (@t233))
161.08/161.34	(step @p484 :rule nary_cong :premises (@p225 @p483) :args ((or @t247 (not @t234))))
161.08/161.34	(step @p485 :rule cnf_or_neg :args (@t247 3))
161.08/161.34	(step @p486 :rule eq_resolve :premises (@p485 @p484))
161.08/161.34	(step @p487 :rule reordering :premises (@p486) :args ((or @t233 @t247)))
161.08/161.34	(step @p488 :rule chain_resolution :premises (@p487 @p223) :args (@t248 @t249))
161.08/161.34	(step @p489 :rule cnf_or_pos :args (@t357))
161.08/161.34	(step @p490 :rule reordering :premises (@p489) :args ((or @t234 @t356 (not @t357))))
161.08/161.34	(step @p491 :rule chain_resolution :premises (@p490 @p488 @p482) :args (@t355 (@list @t233 @t357)))
161.08/161.34	(step @p492 :rule refl :args (@t362))
161.08/161.34	(step @p493 :rule bool-double-not-elim :args (@t315))
161.08/161.34	(step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or (not @t356) @t362)))
161.08/161.34	(assume-push @p529 @t356)
161.08/161.34	(step @p496 :rule skolemize :premises (@p529))
161.08/161.34	(step-pop @p529 :rule scope :premises (@p496))
161.08/161.34	(step @p497 :rule process_scope :premises (@p529) :args (@t362))
161.08/161.34	(step @p499 :rule implies_elim :premises (@p497))
161.08/161.34	(step @p500 :rule eq_resolve :premises (@p499 @p494))
161.08/161.34	(step @p501 :rule chain_resolution :premises (@p500 @p491) :args (@t248 (@list @t315)))
161.08/161.34	(step @p502 :rule cnf_or_neg :args (@t361 1))
161.08/161.34	(step @p503 :rule chain_resolution :premises (@p502 @p501) :args (@t248 @t363))
161.08/161.34	(step @p504 :rule cnf_or_pos :args (@t366))
161.08/161.34	(step @p505 :rule reordering :premises (@p504) :args ((or @t358 @t365 (not @t366))))
161.08/161.34	(step @p506 :rule chain_resolution :premises (@p505 @p503 @p368) :args (@t367 (@list @t358 @t366)))
161.08/161.34	(step @p507 :rule bool-double-not-elim :args (@t359))
161.08/161.34	(step @p508 :rule refl :args (@t361))
161.08/161.34	(step @p509 :rule nary_cong :premises (@p508 @p507) :args ((or @t361 (not @t360))))
161.08/161.34	(step @p510 :rule cnf_or_neg :args (@t361 0))
161.08/161.34	(step @p511 :rule eq_resolve :premises (@p510 @p509))
161.08/161.34	(step @p512 :rule reordering :premises (@p511) :args ((or @t359 @t361)))
161.08/161.34	(step @p513 :rule chain_resolution :premises (@p512 @p501) :args (@t248 @t363))
161.08/161.34	(step @p514 :rule cnf_or_pos :args (@t368))
161.08/161.34	(step @p515 :rule reordering :premises (@p514) :args ((or @t360 @t364 (not @t368))))
161.08/161.34	(step @p516 :rule chain_resolution :premises (@p515 @p513 @p506) :args ((@list false true) (@list @t359 @t364)))
161.08/161.34	(assume-push @p531 @t230)
161.08/161.34	(step @p518 :rule instantiate :premises (@p230) :args (@t317))
161.08/161.34	(step-pop @p531 :rule scope :premises (@p518))
161.08/161.34	(step @p519 :rule process_scope :premises (@p531) :args (@t368))
161.08/161.34	(step @p521 :rule implies_elim :premises (@p519))
161.08/161.34	(step @p522 false :rule chain_resolution :premises (@p521 @p516 @p230) :args (@t367 (@list @t368 @t230)))
161.08/161.34	)
161.08/161.34	% SZS output end Proof
161.08/161.34	% cvc5 exiting
161.08/161.35	EOF