0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 18:27:07 EDT 2025
0.12/0.33	% CPUTime  : 
0.20/0.50	%----Proving TH0
163.16/163.40	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
163.16/163.40	--- 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...
163.16/163.40	--- 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...
163.16/163.40	--- Run --ho-elim --full-saturate-quant at 14s...
163.16/163.40	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
163.16/163.40	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
163.16/163.40	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
163.16/163.40	--- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 4s...
163.16/163.40	% SZS status Theorem
163.16/163.40	% SZS output start Proof
163.16/163.40	(
163.16/163.40	(declare-type tptp.reg ())
163.16/163.40	(declare-type $$unsorted ())
163.16/163.40	(declare-type tptp.mu ())
163.16/163.40	(declare-const tptp.c (-> tptp.reg tptp.reg Bool))
163.16/163.40	(declare-const tptp.a (-> $$unsorted $$unsorted Bool))
163.16/163.40	(declare-const tptp.catalunya tptp.reg)
163.16/163.40	(declare-const tptp.paris tptp.reg)
163.16/163.40	(declare-const tptp.spain tptp.reg)
163.16/163.40	(declare-const tptp.france tptp.reg)
163.16/163.40	(declare-const tptp.mfalse (-> $$unsorted Bool))
163.16/163.40	(declare-const tptp.fool (-> $$unsorted $$unsorted Bool))
163.16/163.40	(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" $$unsorted)) (= _let_2 _let_1)))))
163.16/163.40	(define tptp.meq_prop () (let ((_let_1 (@var "W" $$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)))))))
163.16/163.40	(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))))))
163.16/163.40	(define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
163.16/163.40	(define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
163.16/163.40	(define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
163.16/163.40	(define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
163.16/163.40	(define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1))))))
163.16/163.40	(define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
163.16/163.40	(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)))))))
163.16/163.40	(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)))))))
163.16/163.40	(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))))))
163.16/163.40	(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))))))
163.16/163.40	(define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true))
163.16/163.40	(define tptp.mbox () (let ((_let_1 (@var "V" $$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)))))))))
163.16/163.40	(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))))))
163.16/163.40	(define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
163.16/163.40	(define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
163.16/163.40	(define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1))))))))
163.16/163.40	(define tptp.mtransitive () (let ((_let_1 (@var "U" $$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))))))))))
163.16/163.40	(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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1))))))))))
163.16/163.40	(define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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))))))))))
163.16/163.40	(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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1)))))))))))))
163.16/163.40	(define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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))))))))))))
163.16/163.40	(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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))
163.16/163.40	(define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))))))
163.16/163.40	(define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1))))))
163.16/163.40	(define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1)))))))
163.16/163.40	(define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1))))))
163.16/163.40	(define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1)))))))
163.16/163.40	(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))))))
163.16/163.40	(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)))))))))
163.16/163.40	(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))))))
163.16/163.40	(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)))))))))
163.16/163.40	(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)))))))
163.16/163.40	(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)))))))
163.16/163.40	(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)))))))
163.16/163.40	(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))))))))))
163.16/163.40	(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)))))))))))
163.16/163.40	(define @t1 () (@var "X" tptp.reg))
163.16/163.40	(define @t2 () (_ tptp.c @t1))
163.16/163.40	(define @t3 () (@var "Y" tptp.reg))
163.16/163.40	(define @t4 () (_ @t2 @t3))
163.16/163.40	(define @t5 () (@list @t1 @t3))
163.16/163.40	(define @t6 () (@var "Z" tptp.reg))
163.16/163.40	(define @t7 () (_ tptp.o @t6))
163.16/163.40	(define @t8 () (or (_ @t7 tptp.spain) (_ @t7 tptp.france)))
163.16/163.40	(define @t9 () (or (_ @t7 tptp.catalunya) (_ @t7 tptp.paris)))
163.16/163.40	(define @t10 () (=> @t9 @t8))
163.16/163.40	(define @t11 () (@list @t6))
163.16/163.40	(define @t12 () (forall @t11 @t10))
163.16/163.40	(define @t13 () (@list (@var "X" $$unsorted)))
163.16/163.40	(define @t14 () (lambda @t13 @t12))
163.16/163.40	(define @t15 () (_ tptp.mbox tptp.a))
163.16/163.40	(define @t16 () (not (_ tptp.mvalid (_ @t15 @t14))))
163.16/163.40	(define @t17 () (@var "__flatten_var_0" $$unsorted))
163.16/163.40	(define @t18 () (@var "A" (-> $$unsorted Bool)))
163.16/163.40	(define @t19 () (_ tptp.mbox tptp.fool))
163.16/163.40	(define @t20 () (_ @t19 @t18))
163.16/163.40	(define @t21 () (_ tptp.mimplies @t20))
163.16/163.40	(define @t22 () (@list @t18 @t17))
163.16/163.40	(define @t23 () (lambda @t13 (_ (_ tptp.tpp tptp.catalunya) tptp.spain)))
163.16/163.40	(define @t24 () (lambda @t13 (_ (_ tptp.ntpp tptp.paris) tptp.france)))
163.16/163.40	(define @t25 () (@var "Phi" (-> $$unsorted Bool)))
163.16/163.40	(define @t26 () (@var "Y" tptp.mu))
163.16/163.40	(define @t27 () (@var "X" tptp.mu))
163.16/163.40	(define @t28 () (@var "W" $$unsorted))
163.16/163.40	(define @t29 () (lambda (@list @t27 @t26 @t28) (= @t27 @t26)))
163.16/163.40	(define @t30 () (@var "Y" (-> $$unsorted Bool)))
163.16/163.40	(define @t31 () (@var "X" (-> $$unsorted Bool)))
163.16/163.40	(define @t32 () (lambda (@list @t31 @t30 @t28) (= (_ @t31 @t28) (_ @t30 @t28))))
163.16/163.40	(define @t33 () (_ @t25 @t28))
163.16/163.40	(define @t34 () (not @t33))
163.16/163.40	(define @t35 () (@list @t25 @t28))
163.16/163.40	(define @t36 () (lambda @t35 @t34))
163.16/163.40	(define @t37 () (@var "Psi" (-> $$unsorted Bool)))
163.16/163.40	(define @t38 () (lambda (@list @t25 @t37 @t28) (or @t33 (_ @t37 @t28))))
163.16/163.40	(define @t39 () (_ tptp.mnot @t37))
163.16/163.40	(define @t40 () (_ tptp.mnot @t25))
163.16/163.40	(define @t41 () (_ tptp.mor @t40))
163.16/163.40	(define @t42 () (@list @t25 @t37 @t17))
163.16/163.40	(define @t43 () (lambda @t42 (_ (_ tptp.mnot (_ @t41 @t39)) @t17)))
163.16/163.40	(define @t44 () (lambda @t42 (_ (_ @t41 @t37) @t17)))
163.16/163.40	(define @t45 () (lambda @t42 (_ (_ (_ tptp.mor @t39) @t25) @t17)))
163.16/163.40	(define @t46 () (lambda @t42 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t25) @t37)) (_ (_ tptp.mimplies @t37) @t25)) @t17)))
163.16/163.40	(define @t47 () (lambda @t42 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t25) @t37)) @t17)))
163.16/163.40	(define @t48 () (@var "Phi" (-> tptp.mu $$unsorted Bool)))
163.16/163.40	(define @t49 () (_ @t48 @t27))
163.16/163.40	(define @t50 () (lambda (@list @t48 @t28) (forall (@list @t27) (_ @t49 @t28))))
163.16/163.40	(define @t51 () (@var "P" (-> $$unsorted Bool)))
163.16/163.40	(define @t52 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))
163.16/163.40	(define @t53 () (_ @t52 @t51))
163.16/163.40	(define @t54 () (lambda (@list @t52 @t28) (forall (@list @t51) (_ @t53 @t28))))
163.16/163.40	(define @t55 () (lambda (@list @t48 @t17) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t27 @t17) (_ (_ tptp.mnot @t49) @t17)))) @t17)))
163.16/163.40	(define @t56 () (lambda (@list @t52 @t17) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t51 @t17) (_ (_ tptp.mnot @t53) @t17)))) @t17)))
163.16/163.40	(define @t57 () (@list @t28))
163.16/163.40	(define @t58 () (lambda @t57 true))
163.16/163.40	(define @t59 () (@var "V" $$unsorted))
163.16/163.40	(define @t60 () (_ @t25 @t59))
163.16/163.40	(define @t61 () (@var "R" (-> $$unsorted $$unsorted Bool)))
163.16/163.40	(define @t62 () (_ (_ @t61 @t28) @t59))
163.16/163.40	(define @t63 () (not @t62))
163.16/163.40	(define @t64 () (or @t63 @t60))
163.16/163.40	(define @t65 () (@list @t59))
163.16/163.40	(define @t66 () (forall @t65 @t64))
163.16/163.40	(define @t67 () (@list @t61 @t25 @t28))
163.16/163.40	(define @t68 () (lambda @t67 @t66))
163.16/163.40	(define @t69 () (lambda (@list @t61 @t25 @t17) (_ (_ tptp.mnot (_ (_ tptp.mbox @t61) @t40)) @t17)))
163.16/163.40	(define @t70 () (@var "S" $$unsorted))
163.16/163.40	(define @t71 () (_ @t61 @t70))
163.16/163.40	(define @t72 () (@list @t70))
163.16/163.40	(define @t73 () (@list @t61))
163.16/163.40	(define @t74 () (lambda @t73 (forall @t72 (_ @t71 @t70))))
163.16/163.40	(define @t75 () (@var "T" $$unsorted))
163.16/163.40	(define @t76 () (_ @t61 @t75))
163.16/163.40	(define @t77 () (_ @t71 @t75))
163.16/163.40	(define @t78 () (lambda @t73 (forall (@list @t70 @t75) (=> @t77 (_ @t76 @t70)))))
163.16/163.40	(define @t79 () (@list @t75))
163.16/163.40	(define @t80 () (lambda @t73 (forall @t72 (exists @t79 @t77))))
163.16/163.40	(define @t81 () (@var "U" $$unsorted))
163.16/163.40	(define @t82 () (_ @t71 @t81))
163.16/163.40	(define @t83 () (_ @t76 @t81))
163.16/163.40	(define @t84 () (@list @t70 @t75 @t81))
163.16/163.40	(define @t85 () (lambda @t73 (forall @t84 (=> (and @t77 @t83) @t82))))
163.16/163.40	(define @t86 () (and @t77 @t82))
163.16/163.40	(define @t87 () (lambda @t73 (forall @t84 (=> @t86 @t83))))
163.16/163.40	(define @t88 () (= @t75 @t81))
163.16/163.40	(define @t89 () (lambda @t73 (forall @t84 (=> @t86 @t88))))
163.16/163.40	(define @t90 () (@list @t81))
163.16/163.40	(define @t91 () (lambda @t73 (forall @t72 (exists @t79 (and @t77 (forall @t90 (=> @t82 @t88)))))))
163.16/163.40	(define @t92 () (_ @t61 @t81))
163.16/163.40	(define @t93 () (_ @t92 @t75))
163.16/163.40	(define @t94 () (lambda @t73 (forall @t84 (=> @t77 (exists @t90 (and @t82 @t93))))))
163.16/163.40	(define @t95 () (lambda @t73 (forall @t84 (=> @t86 (or @t83 @t88 @t93)))))
163.16/163.40	(define @t96 () (lambda @t73 (forall @t84 (=> @t86 (exists @t65 (and (_ @t76 @t59) (_ @t92 @t59)))))))
163.16/163.40	(define @t97 () (forall @t57 @t33))
163.16/163.40	(define @t98 () (@list @t25))
163.16/163.40	(define @t99 () (lambda @t98 @t97))
163.16/163.40	(define @t100 () (lambda @t98 (forall @t57 @t34)))
163.16/163.40	(define @t101 () (lambda @t98 (exists @t57 @t33)))
163.16/163.40	(define @t102 () (lambda @t98 (exists @t57 @t34)))
163.16/163.40	(define @t103 () (lambda @t5 (not @t4)))
163.16/163.40	(define @t104 () (_ tptp.c @t6))
163.16/163.40	(define @t105 () (_ @t104 @t3))
163.16/163.40	(define @t106 () (_ @t104 @t1))
163.16/163.40	(define @t107 () (forall @t11 (=> @t106 @t105)))
163.16/163.40	(define @t108 () (lambda @t5 @t107))
163.16/163.40	(define @t109 () (_ (_ tptp.p @t3) @t1))
163.16/163.40	(define @t110 () (_ (_ tptp.p @t1) @t3))
163.16/163.40	(define @t111 () (lambda @t5 (and @t110 @t109)))
163.16/163.40	(define @t112 () (_ tptp.p @t6))
163.16/163.40	(define @t113 () (and (_ @t112 @t1) (_ @t112 @t3)))
163.16/163.40	(define @t114 () (exists @t11 @t113))
163.16/163.40	(define @t115 () (lambda @t5 @t114))
163.16/163.40	(define @t116 () (not @t109))
163.16/163.40	(define @t117 () (_ (_ tptp.o @t1) @t3))
163.16/163.40	(define @t118 () (lambda @t5 (and @t117 (not @t110) @t116)))
163.16/163.40	(define @t119 () (not @t117))
163.16/163.40	(define @t120 () (and @t4 @t119))
163.16/163.40	(define @t121 () (lambda @t5 @t120))
163.16/163.40	(define @t122 () (and @t110 @t116))
163.16/163.40	(define @t123 () (lambda @t5 @t122))
163.16/163.40	(define @t124 () (_ tptp.ec @t6))
163.16/163.40	(define @t125 () (and (_ @t124 @t1) (_ @t124 @t3)))
163.16/163.40	(define @t126 () (exists @t11 @t125))
163.16/163.40	(define @t127 () (_ (_ tptp.pp @t1) @t3))
163.16/163.40	(define @t128 () (and @t127 @t126))
163.16/163.40	(define @t129 () (lambda @t5 @t128))
163.16/163.40	(define @t130 () (not @t126))
163.16/163.40	(define @t131 () (and @t127 @t130))
163.16/163.40	(define @t132 () (lambda @t5 @t131))
163.16/163.40	(define @t133 () (not (tptp.a @t28 @t59)))
163.16/163.40	(define @t134 () (forall (@list @t28 @t59) @t133))
163.16/163.40	(define @t135 () (forall @t65 @t133))
163.16/163.40	(define @t136 () (forall @t57 @t135))
163.16/163.40	(define @t137 () (@var "BOUND_VARIABLE_8181" tptp.reg))
163.16/163.40	(define @t138 () (tptp.c @t137 tptp.france))
163.16/163.40	(define @t139 () (@var "BOUND_VARIABLE_8592" tptp.reg))
163.16/163.40	(define @t140 () (not (tptp.c @t137 @t139)))
163.16/163.40	(define @t141 () (@list @t137))
163.16/163.40	(define @t142 () (not (forall @t141 (or @t140 @t138))))
163.16/163.40	(define @t143 () (tptp.c @t137 @t6))
163.16/163.40	(define @t144 () (not (forall @t141 (or @t140 @t143))))
163.16/163.40	(define @t145 () (@list @t139))
163.16/163.40	(define @t146 () (not (forall @t145 (or @t144 @t142))))
163.16/163.40	(define @t147 () (tptp.c @t137 tptp.spain))
163.16/163.40	(define @t148 () (not (forall @t141 (or @t140 @t147))))
163.16/163.40	(define @t149 () (not (forall @t145 (or @t144 @t148))))
163.16/163.40	(define @t150 () (tptp.c @t137 tptp.paris))
163.16/163.40	(define @t151 () (@var "BOUND_VARIABLE_8667" tptp.reg))
163.16/163.40	(define @t152 () (not (tptp.c @t137 @t151)))
163.16/163.40	(define @t153 () (or (not (forall @t141 (or @t152 @t143))) (not (forall @t141 (or @t152 @t150)))))
163.16/163.40	(define @t154 () (tptp.c @t137 tptp.catalunya))
163.16/163.40	(define @t155 () (@var "BOUND_VARIABLE_8656" tptp.reg))
163.16/163.40	(define @t156 () (not (tptp.c @t137 @t155)))
163.16/163.40	(define @t157 () (or (not (forall @t141 (or @t156 @t143))) (not (forall @t141 (or @t156 @t154)))))
163.16/163.40	(define @t158 () (and @t157 @t153))
163.16/163.40	(define @t159 () (or @t158 @t149 @t146))
163.16/163.40	(define @t160 () (forall (@list @t6 @t155 @t151) @t159))
163.16/163.40	(define @t161 () (or @t160 @t136))
163.16/163.40	(define @t162 () (or @t160 @t135))
163.16/163.40	(define @t163 () (lambda @t57 @t162))
163.16/163.40	(define @t164 () (_ @t163 @t28))
163.16/163.40	(define @t165 () (forall @t57 @t164))
163.16/163.40	(define @t166 () (_ @t25 @t28))
163.16/163.40	(define @t167 () (lambda @t98 (forall @t57 @t166)))
163.16/163.40	(define @t168 () (or @t160 @t133))
163.16/163.40	(define @t169 () (or @t133 @t160))
163.16/163.40	(define @t170 () (lambda @t13 @t160))
163.16/163.40	(define @t171 () (_ @t170 @t59))
163.16/163.40	(define @t172 () (or @t133 @t171))
163.16/163.40	(define @t173 () (forall @t65 @t172))
163.16/163.40	(define @t174 () (lambda @t57 @t173))
163.16/163.40	(define @t175 () (_ @t25 @t59))
163.16/163.40	(define @t176 () (lambda @t35 (forall @t65 (or @t133 @t175))))
163.16/163.40	(define @t177 () (@list @t155 @t151))
163.16/163.40	(define @t178 () (forall @t177 @t159))
163.16/163.40	(define @t179 () (forall (@list @t151) @t153))
163.16/163.40	(define @t180 () (@list @t139))
163.16/163.40	(define @t181 () (forall @t177 @t153))
163.16/163.40	(define @t182 () (forall (@list @t155) @t157))
163.16/163.40	(define @t183 () (forall @t177 @t157))
163.16/163.40	(define @t184 () (and @t183 @t181))
163.16/163.40	(define @t185 () (forall @t177 @t158))
163.16/163.40	(define @t186 () (or @t185 @t149 @t146))
163.16/163.40	(define @t187 () (forall @t145 (or @t144 (not (forall @t141 (or @t140 @t150))))))
163.16/163.40	(define @t188 () (forall @t145 (or @t144 (not (forall @t141 (or @t140 @t154))))))
163.16/163.40	(define @t189 () (and @t188 @t187))
163.16/163.40	(define @t190 () (or @t189 @t149 @t146))
163.16/163.40	(define @t191 () (or @t149 @t146))
163.16/163.40	(define @t192 () (not @t187))
163.16/163.40	(define @t193 () (not @t188))
163.16/163.40	(define @t194 () (or @t193 @t192))
163.16/163.40	(define @t195 () (tptp.c @t137 @t3))
163.16/163.40	(define @t196 () (not (forall @t141 (or @t140 @t195))))
163.16/163.40	(define @t197 () (@list @t3))
163.16/163.40	(define @t198 () (lambda @t197 (not (forall @t145 (or @t144 @t196)))))
163.16/163.40	(define @t199 () (tptp.c @t137 @t1))
163.16/163.40	(define @t200 () (not @t143))
163.16/163.40	(define @t201 () (forall @t141 (or @t200 @t195)))
163.16/163.40	(define @t202 () (forall @t141 (or @t200 @t199)))
163.16/163.40	(define @t203 () (forall @t11 (or (not @t202) (not @t201))))
163.16/163.40	(define @t204 () (@list @t6))
163.16/163.40	(define @t205 () (not @t203))
163.16/163.40	(define @t206 () (lambda @t5 @t205))
163.16/163.40	(define @t207 () (_ @t206 @t6))
163.16/163.40	(define @t208 () (or (_ @t207 tptp.spain) (_ @t207 tptp.france)))
163.16/163.40	(define @t209 () (or (_ @t207 tptp.catalunya) (_ @t207 tptp.paris)))
163.16/163.40	(define @t210 () (=> @t209 @t208))
163.16/163.40	(define @t211 () (forall @t11 @t210))
163.16/163.40	(define @t212 () (lambda @t13 @t211))
163.16/163.40	(define @t213 () (_ @t61 @t28 @t59))
163.16/163.40	(define @t214 () (_ (lambda @t67 (forall @t65 (or (not @t213) @t175))) tptp.a))
163.16/163.40	(define @t215 () (and @t202 @t201))
163.16/163.40	(define @t216 () (forall @t11 (not @t215)))
163.16/163.40	(define @t217 () (not @t216))
163.16/163.40	(define @t218 () (lambda @t197 @t201))
163.16/163.40	(define @t219 () (tptp.c @t6 @t3))
163.16/163.40	(define @t220 () (tptp.c @t6 @t1))
163.16/163.40	(define @t221 () (not @t220))
163.16/163.40	(define @t222 () (forall @t11 (or @t221 @t219)))
163.16/163.40	(define @t223 () (lambda @t5 @t222))
163.16/163.40	(define @t224 () (_ @t223 @t6))
163.16/163.40	(define @t225 () (and (_ @t224 @t1) (_ @t224 @t3)))
163.16/163.40	(define @t226 () (not @t106))
163.16/163.40	(define @t227 () (or @t226 @t105))
163.16/163.40	(define @t228 () (tptp.c @t6 tptp.catalunya))
163.16/163.40	(define @t229 () (tptp.c @t6 tptp.spain))
163.16/163.40	(define @t230 () (not @t229))
163.16/163.40	(define @t231 () (not @t228))
163.16/163.40	(define @t232 () (forall @t11 (or @t231 @t229)))
163.16/163.40	(define @t233 () (@var "BOUND_VARIABLE_8294" tptp.reg))
163.16/163.40	(define @t234 () (not (tptp.c @t137 @t233)))
163.16/163.40	(define @t235 () (not (forall @t141 (or @t234 @t143))))
163.16/163.40	(define @t236 () (@list @t233))
163.16/163.40	(define @t237 () (not (forall @t236 (or @t235 (not (forall @t141 (or @t234 @t154)))))))
163.16/163.40	(define @t238 () (and (not (forall @t11 (or @t231 @t237 @t230 (not (forall @t236 (or @t235 (not (forall @t141 (or @t234 @t147))))))))) @t232 (not (forall @t11 (or @t230 @t228)))))
163.16/163.40	(define @t239 () (or @t238 @t136))
163.16/163.40	(define @t240 () (or @t238 @t135))
163.16/163.40	(define @t241 () (lambda @t57 @t240))
163.16/163.40	(define @t242 () (_ @t241 @t28))
163.16/163.40	(define @t243 () (forall @t57 @t242))
163.16/163.40	(define @t244 () (or @t238 @t133))
163.16/163.40	(define @t245 () (or @t133 @t238))
163.16/163.40	(define @t246 () (lambda @t13 @t238))
163.16/163.40	(define @t247 () (_ @t246 @t59))
163.16/163.40	(define @t248 () (or @t133 @t247))
163.16/163.40	(define @t249 () (forall @t65 @t248))
163.16/163.40	(define @t250 () (lambda @t57 @t249))
163.16/163.40	(define @t251 () (not @t219))
163.16/163.40	(define @t252 () (not (forall @t141 (or @t234 @t195))))
163.16/163.40	(define @t253 () (forall @t236 (or @t235 @t252)))
163.16/163.40	(define @t254 () (not @t253))
163.16/163.40	(define @t255 () (lambda @t197 (and (not (forall @t11 (or @t231 @t237 @t251 @t254))) (forall @t11 (or @t231 @t219)) (not (forall @t11 (or @t251 @t228))))))
163.16/163.40	(define @t256 () (forall @t11 (or @t251 @t220)))
163.16/163.40	(define @t257 () (not @t256))
163.16/163.40	(define @t258 () (not (forall @t141 (or @t234 @t199))))
163.16/163.40	(define @t259 () (forall @t236 (or @t235 @t258)))
163.16/163.40	(define @t260 () (not @t259))
163.16/163.40	(define @t261 () (forall @t11 (or @t221 @t260 @t251 @t254)))
163.16/163.40	(define @t262 () (not @t261))
163.16/163.40	(define @t263 () (and @t262 @t222 @t257))
163.16/163.40	(define @t264 () (_ (lambda @t5 @t263) tptp.catalunya))
163.16/163.40	(define @t265 () (and @t222 @t257))
163.16/163.40	(define @t266 () (not @t105))
163.16/163.40	(define @t267 () (or @t226 @t260 @t266 @t254))
163.16/163.40	(define @t268 () (and @t105 @t253))
163.16/163.40	(define @t269 () (and @t106 @t259 @t105 @t253))
163.16/163.40	(define @t270 () (forall @t11 (not @t269)))
163.16/163.40	(define @t271 () (not @t270))
163.16/163.40	(define @t272 () (and @t106 @t259))
163.16/163.40	(define @t273 () (lambda @t197 @t268))
163.16/163.40	(define @t274 () (and @t4 @t203))
163.16/163.40	(define @t275 () (lambda @t5 @t274))
163.16/163.40	(define @t276 () (_ @t275 @t6))
163.16/163.40	(define @t277 () (and (_ @t276 @t1) (_ @t276 @t3)))
163.16/163.40	(define @t278 () (exists @t11 @t277))
163.16/163.40	(define @t279 () (lambda @t197 @t265))
163.16/163.40	(define @t280 () (_ (lambda @t5 @t265) @t1))
163.16/163.40	(define @t281 () (_ @t280 @t3))
163.16/163.40	(define @t282 () (lambda @t197 @t205))
163.16/163.40	(define @t283 () (_ @t206 @t1))
163.16/163.40	(define @t284 () (not (_ @t283 @t3)))
163.16/163.40	(define @t285 () (@var "BOUND_VARIABLE_8143" tptp.reg))
163.16/163.40	(define @t286 () (tptp.c @t6 @t285))
163.16/163.40	(define @t287 () (lambda (@list @t285) (forall @t11 (or @t251 @t286))))
163.16/163.40	(define @t288 () (not (_ (_ @t223 @t3) @t1)))
163.16/163.40	(define @t289 () (lambda @t197 @t222))
163.16/163.40	(define @t290 () (_ @t223 @t1))
163.16/163.40	(define @t291 () (@list true))
163.16/163.40	(define @t292 () (@list @t134))
163.16/163.40	(define @t293 () (@list false))
163.16/163.40	(define @t294 () (@quantifiers_skolemize @t160 1))
163.16/163.40	(define @t295 () (not (tptp.c @t137 @t294)))
163.16/163.40	(define @t296 () (forall @t141 (or @t295 @t147)))
163.16/163.40	(define @t297 () (@quantifiers_skolemize @t296 0))
163.16/163.40	(define @t298 () (@list @t297))
163.16/163.40	(define @t299 () (tptp.c @t137 (@quantifiers_skolemize @t160 0)))
163.16/163.40	(define @t300 () (not (forall @t141 (or @t140 @t299))))
163.16/163.40	(define @t301 () (forall @t145 (or @t300 @t148)))
163.16/163.40	(define @t302 () (forall @t145 (or @t300 @t142)))
163.16/163.40	(define @t303 () (not @t302))
163.16/163.40	(define @t304 () (not @t301))
163.16/163.40	(define @t305 () (@quantifiers_skolemize @t160 2))
163.16/163.40	(define @t306 () (not (tptp.c @t137 @t305)))
163.16/163.40	(define @t307 () (forall @t141 (or @t306 @t150)))
163.16/163.40	(define @t308 () (not @t307))
163.16/163.40	(define @t309 () (forall @t141 (or @t306 @t299)))
163.16/163.40	(define @t310 () (not @t309))
163.16/163.40	(define @t311 () (or @t310 @t308))
163.16/163.40	(define @t312 () (forall @t141 (or @t295 @t154)))
163.16/163.40	(define @t313 () (not @t312))
163.16/163.40	(define @t314 () (forall @t141 (or @t295 @t299)))
163.16/163.40	(define @t315 () (not @t314))
163.16/163.40	(define @t316 () (or @t315 @t313))
163.16/163.40	(define @t317 () (and @t316 @t311))
163.16/163.40	(define @t318 () (or @t317 @t304 @t303))
163.16/163.40	(define @t319 () (@list @t318))
163.16/163.40	(define @t320 () (forall @t141 (or @t306 @t138)))
163.16/163.40	(define @t321 () (not @t320))
163.16/163.40	(define @t322 () (or @t310 @t321))
163.16/163.40	(define @t323 () (@quantifiers_skolemize @t320 0))
163.16/163.40	(define @t324 () (tptp.c @t323 tptp.france))
163.16/163.40	(define @t325 () (tptp.c @t323 @t305))
163.16/163.40	(define @t326 () (not @t325))
163.16/163.40	(define @t327 () (or @t326 @t324))
163.16/163.40	(define @t328 () (not @t327))
163.16/163.40	(define @t329 () (tptp.c @t6 tptp.paris))
163.16/163.40	(define @t330 () (tptp.c @t6 tptp.france))
163.16/163.40	(define @t331 () (not @t330))
163.16/163.40	(define @t332 () (not @t329))
163.16/163.40	(define @t333 () (forall @t11 (or @t332 @t330)))
163.16/163.40	(define @t334 () (not (forall @t236 (or @t235 (not (forall @t141 (or @t234 @t150)))))))
163.16/163.40	(define @t335 () (and (forall @t11 (or @t332 @t334 @t331 (not (forall @t236 (or @t235 (not (forall @t141 (or @t234 @t138)))))))) @t333 (not (forall @t11 (or @t331 @t329)))))
163.16/163.40	(define @t336 () (or @t335 @t136))
163.16/163.40	(define @t337 () (or @t335 @t135))
163.16/163.40	(define @t338 () (lambda @t57 @t337))
163.16/163.40	(define @t339 () (_ @t338 @t28))
163.16/163.40	(define @t340 () (forall @t57 @t339))
163.16/163.40	(define @t341 () (or @t335 @t133))
163.16/163.40	(define @t342 () (or @t133 @t335))
163.16/163.40	(define @t343 () (lambda @t13 @t335))
163.16/163.40	(define @t344 () (_ @t343 @t59))
163.16/163.40	(define @t345 () (or @t133 @t344))
163.16/163.40	(define @t346 () (forall @t65 @t345))
163.16/163.40	(define @t347 () (lambda @t57 @t346))
163.16/163.40	(define @t348 () (lambda @t197 (and (forall @t11 (or @t332 @t334 @t251 @t254)) (forall @t11 (or @t332 @t219)) (not (forall @t11 (or @t251 @t329))))))
163.16/163.40	(define @t349 () (and @t261 @t222 @t257))
163.16/163.40	(define @t350 () (_ (lambda @t5 @t349) tptp.paris))
163.16/163.40	(define @t351 () (not @t278))
163.16/163.40	(define @t352 () (@list @t323))
163.16/163.40	(define @t353 () (tptp.c @t323 tptp.paris))
163.16/163.40	(define @t354 () (not @t353))
163.16/163.40	(define @t355 () (or @t354 @t324))
163.16/163.40	(define @t356 () (or @t326 @t353))
163.16/163.40	(define @t357 () (@list @t316))
163.16/163.40	(define @t358 () (not @t296))
163.16/163.40	(define @t359 () (or @t315 @t358))
163.16/163.40	(define @t360 () (@list false false))
163.16/163.40	(define @t361 () (tptp.c @t297 tptp.spain))
163.16/163.40	(define @t362 () (tptp.c @t297 @t294))
163.16/163.40	(define @t363 () (not @t362))
163.16/163.40	(define @t364 () (or @t363 @t361))
163.16/163.40	(define @t365 () (not @t364))
163.16/163.40	(define @t366 () (@list @t364))
163.16/163.40	(define @t367 () (tptp.c @t297 tptp.catalunya))
163.16/163.40	(define @t368 () (or @t363 @t367))
163.16/163.40	(define @t369 () (not @t367))
163.16/163.40	(define @t370 () (or @t369 @t361))
163.16/163.40	(assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue)))
163.16/163.40	(assume @p2 (forall (@list @t1) (_ @t2 @t1)))
163.16/163.40	(assume @p3 (forall @t5 (=> @t4 (_ (_ tptp.c @t3) @t1))))
163.16/163.40	(assume @p4 @t16)
163.16/163.40	(assume @p5 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t22 (_ (_ @t21 (_ @t19 @t20)) @t17)))))
163.16/163.40	(assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t22 (_ (_ @t21 @t18) @t17)))))
163.16/163.40	(assume @p7 (_ tptp.mvalid (_ @t15 @t23)))
163.16/163.40	(assume @p8 (_ tptp.mvalid (_ @t19 (lambda @t13 (_ (_ tptp.ec tptp.spain) tptp.france)))))
163.16/163.40	(assume @p9 (_ tptp.mvalid (_ @t15 @t24)))
163.16/163.40	(assume @p10 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t25 @t17) (_ (_ (_ tptp.mimplies (_ @t19 @t25)) (_ @t15 @t25)) @t17)))))
163.16/163.40	(assume @p11 true)
163.16/163.40	(step @p12 (= tptp.meq_ind @t29) :rule refl :args (@t29))
163.16/163.40	(step @p13 (= tptp.meq_prop @t32) :rule refl :args (@t32))
163.16/163.40	(step @p14 (= tptp.mnot @t36) :rule refl :args (@t36))
163.16/163.40	(step @p15 (= tptp.mor @t38) :rule refl :args (@t38))
163.16/163.40	(step @p16 (= tptp.mand @t43) :rule refl :args (@t43))
163.16/163.40	(step @p17 (= tptp.mimplies @t44) :rule refl :args (@t44))
163.16/163.40	(step @p18 (= tptp.mimplied @t45) :rule refl :args (@t45))
163.16/163.40	(step @p19 (= tptp.mequiv @t46) :rule refl :args (@t46))
163.16/163.40	(step @p20 (= tptp.mxor @t47) :rule refl :args (@t47))
163.16/163.40	(step @p21 (= tptp.mforall_ind @t50) :rule refl :args (@t50))
163.16/163.40	(step @p22 (= tptp.mforall_prop @t54) :rule refl :args (@t54))
163.16/163.40	(step @p23 (= tptp.mexists_ind @t55) :rule refl :args (@t55))
163.16/163.40	(step @p24 (= tptp.mexists_prop @t56) :rule refl :args (@t56))
163.16/163.40	(step @p25 (= tptp.mtrue @t58) :rule refl :args (@t58))
163.16/163.40	(step @p26 (= tptp.mbox @t68) :rule refl :args (@t68))
163.16/163.40	(step @p27 (= tptp.mdia @t69) :rule refl :args (@t69))
163.16/163.40	(step @p28 (= tptp.mreflexive @t74) :rule refl :args (@t74))
163.16/163.40	(step @p29 (= tptp.msymmetric @t78) :rule refl :args (@t78))
163.16/163.40	(step @p30 (= tptp.mserial @t80) :rule refl :args (@t80))
163.16/163.40	(step @p31 (= tptp.mtransitive @t85) :rule refl :args (@t85))
163.16/163.40	(step @p32 (= tptp.meuclidean @t87) :rule refl :args (@t87))
163.16/163.40	(step @p33 (= tptp.mpartially_functional @t89) :rule refl :args (@t89))
163.16/163.40	(step @p34 (= tptp.mfunctional @t91) :rule refl :args (@t91))
163.16/163.40	(step @p35 (= tptp.mweakly_dense @t94) :rule refl :args (@t94))
163.16/163.40	(step @p36 (= tptp.mweakly_connected @t95) :rule refl :args (@t95))
163.16/163.40	(step @p37 (= tptp.mweakly_directed @t96) :rule refl :args (@t96))
163.16/163.40	(step @p38 (= tptp.mvalid @t99) :rule refl :args (@t99))
163.16/163.40	(step @p39 (= tptp.minvalid @t100) :rule refl :args (@t100))
163.16/163.40	(step @p40 (= tptp.msatisfiable @t101) :rule refl :args (@t101))
163.16/163.40	(step @p41 (= tptp.mcountersatisfiable @t102) :rule refl :args (@t102))
163.16/163.40	(step @p42 (= tptp.dc @t103) :rule refl :args (@t103))
163.16/163.40	(step @p43 (= tptp.p @t108) :rule refl :args (@t108))
163.16/163.40	(step @p44 (= tptp.eq @t111) :rule refl :args (@t111))
163.16/163.40	(step @p45 (= tptp.o @t115) :rule refl :args (@t115))
163.16/163.40	(step @p46 (= tptp.po @t118) :rule refl :args (@t118))
163.16/163.40	(step @p47 (= tptp.ec @t121) :rule refl :args (@t121))
163.16/163.40	(step @p48 (= tptp.pp @t123) :rule refl :args (@t123))
163.16/163.40	(step @p49 (= tptp.tpp @t129) :rule refl :args (@t129))
163.16/163.40	(step @p50 (= tptp.ntpp @t132) :rule refl :args (@t132))
163.16/163.40	(step @p51 :rule quant-merge-prenex :args ((= @t136 @t134)))
163.16/163.40	(step @p52 :rule refl :args (@t160))
163.16/163.40	(step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t161))
163.16/163.40	(step @p54 :rule quant-miniscope-or :args ((= (forall @t57 @t162) @t161)))
163.16/163.40	(step @p55 :rule trans :premises (@p54 @p53))
163.16/163.40	(step @p56 :rule beta-reduce :args ((= @t164 @t162)))
163.16/163.40	(step @p57 :rule cong :premises (@p56) :args (@t165))
163.16/163.40	(step @p58 :rule trans :premises (@p57 @p55))
163.16/163.40	(step @p59 :rule beta-reduce :args ((= (_ @t167 @t163) @t165)))
163.16/163.40	(step @p60 :rule trans :premises (@p59 @p58))
163.16/163.40	(step @p61 :rule quant-miniscope-or :args ((= (forall @t65 @t168) @t162)))
163.16/163.40	(step @p62 :rule aci_norm :args ((= @t169 @t168)))
163.16/163.40	(step @p63 :rule cong :premises (@p62) :args ((forall @t65 @t169)))
163.16/163.40	(step @p64 :rule trans :premises (@p63 @p61))
163.16/163.40	(step @p65 :rule beta-reduce :args ((= @t171 @t160)))
163.16/163.40	(step @p66 :rule refl :args (@t133))
163.16/163.40	(step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t172))
163.16/163.40	(step @p68 :rule cong :premises (@p67) :args (@t173))
163.16/163.40	(step @p69 :rule trans :premises (@p68 @p64))
163.16/163.40	(step @p70 :rule cong :premises (@p69) :args (@t174))
163.16/163.40	(step @p71 :rule beta-reduce :args ((= (_ @t176 @t170) @t174)))
163.16/163.40	(step @p72 :rule trans :premises (@p71 @p70))
163.16/163.40	(step @p73 :rule quant-merge-prenex :args ((= (forall @t11 @t178) @t160)))
163.16/163.40	(step @p74 :rule refl :args (@t146))
163.16/163.40	(step @p75 :rule refl :args (@t149))
163.16/163.40	(step @p76 :rule alpha_equiv :args (@t179 (@list @t151) @t180))
163.16/163.40	(step @p77 :rule quant-unused-vars :args ((= @t181 @t179)))
163.16/163.40	(step @p78 :rule trans :premises (@p77 @p76))
163.16/163.40	(step @p79 :rule alpha_equiv :args (@t182 (@list @t155) @t180))
163.16/163.40	(step @p80 :rule quant-unused-vars :args ((= @t183 @t182)))
163.16/163.40	(step @p81 :rule trans :premises (@p80 @p79))
163.16/163.40	(step @p82 :rule nary_cong :premises (@p81 @p78) :args (@t184))
163.16/163.40	(step @p83 :rule quant-miniscope-and :args ((= @t185 @t184)))
163.16/163.40	(step @p84 :rule trans :premises (@p83 @p82))
163.16/163.40	(step @p85 :rule nary_cong :premises (@p84 @p75 @p74) :args (@t186))
163.16/163.40	(step @p86 :rule quant-miniscope-or :args ((= @t178 @t186)))
163.16/163.40	(step @p87 :rule trans :premises (@p86 @p85))
163.16/163.40	(step @p88 :rule symm :premises (@p87))
163.16/163.40	(step @p89 :rule cong :premises (@p88) :args ((forall @t11 @t190)))
163.16/163.40	(step @p90 :rule trans :premises (@p89 @p73))
163.16/163.40	(step @p91 :rule aci_norm :args ((= (or @t189 @t191) @t190)))
163.16/163.40	(step @p92 :rule refl :args (@t191))
163.16/163.40	(step @p93 :rule bool-double-not-elim :args (@t187))
163.16/163.40	(step @p94 :rule bool-double-not-elim :args (@t188))
163.16/163.40	(step @p95 :rule nary_cong :premises (@p94 @p93) :args ((and (not @t193) (not @t192))))
163.16/163.40	(step @p96 :rule bool-or-de-morgan :args (@t193 @t192 false))
163.16/163.40	(step @p97 :rule trans :premises (@p96 @p95))
163.16/163.40	(step @p98 :rule nary_cong :premises (@p97 @p92) :args ((or (not @t194) @t191)))
163.16/163.40	(step @p99 :rule trans :premises (@p98 @p91))
163.16/163.40	(step @p100 :rule bool-impl-elim :args (@t194 @t191))
163.16/163.40	(step @p101 :rule trans :premises (@p100 @p99))
163.16/163.40	(step @p102 :rule cong :premises (@p101) :args ((forall @t11 (=> @t194 @t191))))
163.16/163.40	(step @p103 :rule trans :premises (@p102 @p90))
163.16/163.40	(step @p104 :rule beta-reduce :args ((= (_ @t198 tptp.france) @t146)))
163.16/163.40	(step @p105 :rule refl :args (tptp.france))
163.16/163.40	(step @p106 :rule beta-reduce :args ((= (_ (lambda @t5 (not (forall @t145 (or (not (forall @t141 (or @t140 @t199))) @t196)))) @t6) @t198)))
163.16/163.40	(step @p107 :rule refl :args (@t6))
163.16/163.40	(step @p108 :rule alpha_equiv :args (@t203 @t204 @t180))
163.16/163.40	(step @p109 :rule cong :premises (@p108) :args (@t205))
163.16/163.40	(step @p110 :rule cong :premises (@p109) :args (@t206))
163.16/163.40	(step @p111 :rule ho_cong :premises (@p110 @p107))
163.16/163.40	(step @p112 :rule trans :premises (@p111 @p106))
163.16/163.40	(step @p113 :rule ho_cong :premises (@p112 @p105))
163.16/163.40	(step @p114 :rule trans :premises (@p113 @p104))
163.16/163.40	(step @p115 :rule beta-reduce :args ((= (_ @t198 tptp.spain) @t149)))
163.16/163.40	(step @p116 :rule refl :args (tptp.spain))
163.16/163.40	(step @p117 :rule ho_cong :premises (@p112 @p116))
163.16/163.40	(step @p118 :rule trans :premises (@p117 @p115))
163.16/163.40	(step @p119 :rule nary_cong :premises (@p118 @p114) :args (@t208))
163.16/163.40	(step @p120 :rule beta-reduce :args ((= (_ @t198 tptp.paris) @t192)))
163.16/163.40	(step @p121 :rule refl :args (tptp.paris))
163.16/163.40	(step @p122 :rule ho_cong :premises (@p112 @p121))
163.16/163.40	(step @p123 :rule trans :premises (@p122 @p120))
163.16/163.40	(step @p124 :rule beta-reduce :args ((= (_ @t198 tptp.catalunya) @t193)))
163.16/163.40	(step @p125 :rule refl :args (tptp.catalunya))
163.16/163.40	(step @p126 :rule ho_cong :premises (@p112 @p125))
163.16/163.40	(step @p127 :rule trans :premises (@p126 @p124))
163.16/163.40	(step @p128 :rule nary_cong :premises (@p127 @p123) :args (@t209))
163.16/163.40	(step @p129 :rule cong :premises (@p128 @p119) :args (@t210))
163.16/163.40	(step @p130 :rule cong :premises (@p129) :args (@t211))
163.16/163.40	(step @p131 :rule trans :premises (@p130 @p103))
163.16/163.40	(step @p132 :rule cong :premises (@p131) :args (@t212))
163.16/163.40	(step @p133 :rule beta-reduce :args ((= @t214 @t176)))
163.16/163.40	(step @p134 :rule ho_cong :premises (@p133 @p132))
163.16/163.40	(step @p135 :rule trans :premises (@p134 @p72))
163.16/163.40	(step @p136 :rule refl :args (@t167))
163.16/163.40	(step @p137 :rule ho_cong :premises (@p136 @p135))
163.16/163.40	(step @p138 :rule trans :premises (@p137 @p60))
163.16/163.40	(step @p139 :rule cong :premises (@p138) :args ((not (_ @t167 (_ @t214 @t212)))))
163.16/163.40	(step @p140 :rule refl :args (@t6))
163.16/163.40	(step @p141 :rule bool-and-de-morgan :args (@t202 @t201 true))
163.16/163.40	(step @p142 :rule cong :premises (@p141) :args (@t216))
163.16/163.40	(step @p143 :rule cong :premises (@p142) :args (@t217))
163.16/163.40	(step @p144 :rule exists-elim :args ((= (exists @t11 @t215) @t217)))
163.16/163.40	(step @p145 :rule trans :premises (@p144 @p143))
163.16/163.40	(step @p146 :rule beta-reduce :args ((= (_ @t218 @t3) @t201)))
163.16/163.40	(step @p147 :rule refl :args (@t3))
163.16/163.40	(step @p148 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t141 (or (not @t199) @t195))) @t6) @t218)))
163.16/163.40	(step @p149 :rule alpha_equiv :args (@t222 @t204 (@list @t137)))
163.16/163.40	(step @p150 :rule cong :premises (@p149) :args (@t223))
163.16/163.40	(step @p151 :rule ho_cong :premises (@p150 @p107))
163.16/163.40	(step @p152 :rule trans :premises (@p151 @p148))
163.16/163.40	(step @p153 :rule ho_cong :premises (@p152 @p147))
163.16/163.40	(step @p154 :rule trans :premises (@p153 @p146))
163.16/163.40	(step @p155 :rule beta-reduce :args ((= (_ @t218 @t1) @t202)))
163.16/163.40	(step @p156 :rule refl :args (@t1))
163.16/163.40	(step @p157 :rule ho_cong :premises (@p152 @p156))
163.16/163.40	(step @p158 :rule trans :premises (@p157 @p155))
163.16/163.40	(step @p159 :rule nary_cong :premises (@p158 @p154) :args (@t225))
163.16/163.40	(step @p160 :rule cong :premises (@p159) :args ((exists @t11 @t225)))
163.16/163.40	(step @p161 :rule trans :premises (@p160 @p145))
163.16/163.40	(step @p162 :rule refl :args (@t219))
163.16/163.40	(step @p163 :rule refl :args (@t105))
163.16/163.40	(step @p164 :rule cong :premises (@p163 @p162) :args ((= @t105 @t219)))
163.16/163.40	(step @p165 :rule symm :premises (@p164))
163.16/163.40	(step @p166 :rule eq_resolve :premises (@p163 @p165))
163.16/163.40	(step @p167 :rule refl :args (@t220))
163.16/163.40	(step @p168 :rule refl :args (@t106))
163.16/163.40	(step @p169 :rule cong :premises (@p168 @p167) :args ((= @t106 @t220)))
163.16/163.40	(step @p170 :rule symm :premises (@p169))
163.16/163.40	(step @p171 :rule eq_resolve :premises (@p168 @p170))
163.16/163.40	(step @p172 :rule cong :premises (@p171) :args (@t226))
163.16/163.40	(step @p173 :rule nary_cong :premises (@p172 @p166) :args (@t227))
163.16/163.40	(step @p174 :rule cong :premises (@p173) :args ((forall @t11 @t227)))
163.16/163.40	(step @p175 :rule bool-impl-elim :args (@t106 @t105))
163.16/163.40	(step @p176 :rule cong :premises (@p175) :args (@t107))
163.16/163.40	(step @p177 :rule trans :premises (@p176 @p174))
163.16/163.40	(step @p178 :rule cong :premises (@p177) :args (@t108))
163.16/163.40	(step @p179 :rule trans :premises (@p43 @p178))
163.16/163.40	(step @p180 :rule ho_cong :premises (@p179 @p140))
163.16/163.40	(step @p181 :rule ho_cong :premises (@p180 @p147))
163.16/163.40	(step @p182 :rule ho_cong :premises (@p180 @p156))
163.16/163.40	(step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t113))
163.16/163.40	(step @p184 :rule cong :premises (@p183) :args (@t114))
163.16/163.40	(step @p185 :rule trans :premises (@p184 @p161))
163.16/163.40	(step @p186 :rule cong :premises (@p185) :args (@t115))
163.16/163.40	(step @p187 :rule trans :premises (@p45 @p186))
163.16/163.40	(step @p188 :rule ho_cong :premises (@p187 @p140))
163.16/163.40	(step @p189 :rule ho_cong :premises (@p188 @p105))
163.16/163.40	(step @p190 :rule ho_cong :premises (@p188 @p116))
163.16/163.40	(step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t8))
163.16/163.40	(step @p192 :rule ho_cong :premises (@p188 @p121))
163.16/163.40	(step @p193 :rule ho_cong :premises (@p188 @p125))
163.16/163.40	(step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t9))
163.16/163.40	(step @p195 :rule cong :premises (@p194 @p191) :args (@t10))
163.16/163.40	(step @p196 :rule cong :premises (@p195) :args (@t12))
163.16/163.40	(step @p197 :rule cong :premises (@p196) :args (@t14))
163.16/163.40	(step @p198 :rule refl :args (tptp.a))
163.16/163.40	(step @p199 :rule refl :args (@t175))
163.16/163.40	(step @p200 :rule refl :args (@t60))
163.16/163.40	(step @p201 :rule cong :premises (@p200 @p199) :args ((= @t60 @t175)))
163.16/163.40	(step @p202 :rule symm :premises (@p201))
163.16/163.40	(step @p203 :rule eq_resolve :premises (@p200 @p202))
163.16/163.40	(step @p204 :rule refl :args (@t213))
163.16/163.40	(step @p205 :rule refl :args (@t62))
163.16/163.40	(step @p206 :rule cong :premises (@p205 @p204) :args ((= @t62 @t213)))
163.16/163.40	(step @p207 :rule symm :premises (@p206))
163.16/163.40	(step @p208 :rule eq_resolve :premises (@p205 @p207))
163.16/163.40	(step @p209 :rule cong :premises (@p208) :args (@t63))
163.16/163.40	(step @p210 :rule nary_cong :premises (@p209 @p203) :args (@t64))
163.16/163.40	(step @p211 :rule cong :premises (@p210) :args (@t66))
163.16/163.40	(step @p212 :rule cong :premises (@p211) :args (@t68))
163.16/163.40	(step @p213 :rule trans :premises (@p26 @p212))
163.16/163.40	(step @p214 :rule ho_cong :premises (@p213 @p198))
163.16/163.40	(step @p215 :rule ho_cong :premises (@p214 @p197))
163.16/163.40	(step @p216 :rule refl :args (@t166))
163.16/163.40	(step @p217 :rule refl :args (@t33))
163.16/163.40	(step @p218 :rule cong :premises (@p217 @p216) :args ((= @t33 @t166)))
163.16/163.40	(step @p219 :rule symm :premises (@p218))
163.16/163.40	(step @p220 :rule eq_resolve :premises (@p217 @p219))
163.16/163.40	(step @p221 :rule cong :premises (@p220) :args (@t97))
163.16/163.40	(step @p222 :rule cong :premises (@p221) :args (@t99))
163.16/163.40	(step @p223 :rule trans :premises (@p38 @p222))
163.16/163.40	(step @p224 :rule ho_cong :premises (@p223 @p215))
163.16/163.40	(step @p225 :rule cong :premises (@p224) :args (@t16))
163.16/163.40	(step @p226 :rule trans :premises (@p225 @p139))
163.16/163.40	(step @p227 :rule eq_resolve :premises (@p4 @p226))
163.16/163.40	(step @p228 :rule not_or_elim :premises (@p227) :args (1))
163.16/163.40	(step @p229 :rule refl :args (@t238))
163.16/163.40	(step @p230 :rule nary_cong :premises (@p229 @p51) :args (@t239))
163.16/163.40	(step @p231 :rule quant-miniscope-or :args ((= (forall @t57 @t240) @t239)))
163.16/163.40	(step @p232 :rule trans :premises (@p231 @p230))
163.16/163.40	(step @p233 :rule beta-reduce :args ((= @t242 @t240)))
163.16/163.40	(step @p234 :rule cong :premises (@p233) :args (@t243))
163.16/163.40	(step @p235 :rule trans :premises (@p234 @p232))
163.16/163.40	(step @p236 :rule beta-reduce :args ((= (_ @t167 @t241) @t243)))
163.16/163.40	(step @p237 :rule trans :premises (@p236 @p235))
163.16/163.40	(step @p238 :rule quant-miniscope-or :args ((= (forall @t65 @t244) @t240)))
163.16/163.40	(step @p239 :rule aci_norm :args ((= @t245 @t244)))
163.16/163.40	(step @p240 :rule cong :premises (@p239) :args ((forall @t65 @t245)))
163.16/163.40	(step @p241 :rule trans :premises (@p240 @p238))
163.16/163.40	(step @p242 :rule beta-reduce :args ((= @t247 @t238)))
163.16/163.40	(step @p243 :rule nary_cong :premises (@p66 @p242) :args (@t248))
163.16/163.40	(step @p244 :rule cong :premises (@p243) :args (@t249))
163.16/163.40	(step @p245 :rule trans :premises (@p244 @p241))
163.16/163.40	(step @p246 :rule cong :premises (@p245) :args (@t250))
163.16/163.40	(step @p247 :rule beta-reduce :args ((= (_ @t176 @t246) @t250)))
163.16/163.40	(step @p248 :rule trans :premises (@p247 @p246))
163.16/163.40	(step @p249 :rule beta-reduce :args ((= (_ @t255 tptp.spain) @t238)))
163.16/163.40	(step @p250 :rule beta-reduce :args ((= @t264 @t255)))
163.16/163.40	(step @p251 :rule ho_cong :premises (@p250 @p116))
163.16/163.40	(step @p252 :rule trans :premises (@p251 @p249))
163.16/163.40	(step @p253 :rule cong :premises (@p252) :args ((lambda @t13 (_ @t264 tptp.spain))))
163.16/163.40	(step @p254 :rule ho_cong :premises (@p133 @p253))
163.16/163.40	(step @p255 :rule trans :premises (@p254 @p248))
163.16/163.40	(step @p256 :rule ho_cong :premises (@p136 @p255))
163.16/163.40	(step @p257 :rule trans :premises (@p256 @p237))
163.16/163.40	(step @p258 :rule aci_norm :args ((= (and @t265 @t262) @t263)))
163.16/163.40	(step @p259 :rule refl :args (@t254))
163.16/163.40	(step @p260 :rule cong :premises (@p166) :args (@t266))
163.16/163.40	(step @p261 :rule refl :args (@t260))
163.16/163.40	(step @p262 :rule nary_cong :premises (@p172 @p261 @p260 @p259) :args (@t267))
163.16/163.40	(step @p263 :rule cong :premises (@p262) :args ((forall @t11 @t267)))
163.16/163.40	(step @p264 :rule aci_norm :args ((= (or @t226 (or @t260 (or @t266 @t254))) @t267)))
163.16/163.40	(step @p265 :rule bool-and-de-morgan :args (@t105 @t253 true))
163.16/163.40	(step @p266 :rule nary_cong :premises (@p261 @p265) :args ((or @t260 (not @t268))))
163.16/163.40	(step @p267 :rule bool-and-de-morgan :args (@t259 @t105 (and @t253)))
163.16/163.40	(step @p268 :rule trans :premises (@p267 @p266))
163.16/163.40	(step @p269 :rule refl :args (@t226))
163.16/163.40	(step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t226 (not (and @t259 @t105 @t253)))))
163.16/163.40	(step @p271 :rule bool-and-de-morgan :args (@t106 @t259 (and @t105 @t253)))
163.16/163.40	(step @p272 :rule trans :premises (@p271 @p270))
163.16/163.40	(step @p273 :rule trans :premises (@p272 @p264))
163.16/163.40	(step @p274 :rule cong :premises (@p273) :args (@t270))
163.16/163.40	(step @p275 :rule trans :premises (@p274 @p263))
163.16/163.40	(step @p276 :rule cong :premises (@p275) :args (@t271))
163.16/163.40	(step @p277 :rule exists-elim :args ((= (exists @t11 @t269) @t271)))
163.16/163.40	(step @p278 :rule trans :premises (@p277 @p276))
163.16/163.40	(step @p279 :rule aci_norm :args ((= (and @t272 @t268) @t269)))
163.16/163.40	(step @p280 :rule beta-reduce :args ((= (_ @t273 @t3) @t268)))
163.16/163.40	(step @p281 :rule beta-reduce :args ((= (_ (lambda @t5 (and @t4 (forall @t236 (or @t258 @t252)))) @t6) @t273)))
163.16/163.40	(step @p282 :rule alpha_equiv :args (@t203 @t204 (@list @t233)))
163.16/163.40	(step @p283 :rule refl :args (@t4))
163.16/163.40	(step @p284 :rule nary_cong :premises (@p283 @p282) :args (@t274))
163.16/163.40	(step @p285 :rule cong :premises (@p284) :args (@t275))
163.16/163.40	(step @p286 :rule ho_cong :premises (@p285 @p107))
163.16/163.40	(step @p287 :rule trans :premises (@p286 @p281))
163.16/163.40	(step @p288 :rule ho_cong :premises (@p287 @p147))
163.16/163.40	(step @p289 :rule trans :premises (@p288 @p280))
163.16/163.40	(step @p290 :rule beta-reduce :args ((= (_ @t273 @t1) @t272)))
163.16/163.40	(step @p291 :rule ho_cong :premises (@p287 @p156))
163.16/163.40	(step @p292 :rule trans :premises (@p291 @p290))
163.16/163.40	(step @p293 :rule nary_cong :premises (@p292 @p289) :args (@t277))
163.16/163.40	(step @p294 :rule trans :premises (@p293 @p279))
163.16/163.40	(step @p295 :rule cong :premises (@p294) :args (@t278))
163.16/163.40	(step @p296 :rule trans :premises (@p295 @p278))
163.16/163.40	(step @p297 :rule beta-reduce :args ((= (_ @t279 @t3) @t265)))
163.16/163.40	(step @p298 :rule beta-reduce :args ((= @t280 @t279)))
163.16/163.40	(step @p299 :rule ho_cong :premises (@p298 @p147))
163.16/163.40	(step @p300 :rule trans :premises (@p299 @p297))
163.16/163.40	(step @p301 :rule nary_cong :premises (@p300 @p296) :args ((and @t281 @t278)))
163.16/163.40	(step @p302 :rule trans :premises (@p301 @p258))
163.16/163.40	(step @p303 :rule bool-double-not-elim :args (@t203))
163.16/163.40	(step @p304 :rule beta-reduce :args ((= (_ @t282 @t3) @t205)))
163.16/163.40	(step @p305 :rule beta-reduce :args ((= @t283 @t282)))
163.16/163.40	(step @p306 :rule ho_cong :premises (@p305 @p147))
163.16/163.40	(step @p307 :rule trans :premises (@p306 @p304))
163.16/163.40	(step @p308 :rule cong :premises (@p307) :args (@t284))
163.16/163.40	(step @p309 :rule trans :premises (@p308 @p303))
163.16/163.40	(step @p310 :rule refl :args (@t4))
163.16/163.40	(step @p311 :rule nary_cong :premises (@p310 @p309) :args ((and @t4 @t284)))
163.16/163.40	(step @p312 :rule ho_cong :premises (@p187 @p156))
163.16/163.40	(step @p313 :rule ho_cong :premises (@p312 @p147))
163.16/163.40	(step @p314 :rule cong :premises (@p313) :args (@t119))
163.16/163.40	(step @p315 :rule nary_cong :premises (@p310 @p314) :args (@t120))
163.16/163.40	(step @p316 :rule trans :premises (@p315 @p311))
163.16/163.40	(step @p317 :rule cong :premises (@p316) :args (@t121))
163.16/163.40	(step @p318 :rule trans :premises (@p47 @p317))
163.16/163.40	(step @p319 :rule ho_cong :premises (@p318 @p140))
163.16/163.40	(step @p320 :rule ho_cong :premises (@p319 @p147))
163.16/163.40	(step @p321 :rule ho_cong :premises (@p319 @p156))
163.16/163.40	(step @p322 :rule nary_cong :premises (@p321 @p320) :args (@t125))
163.16/163.40	(step @p323 :rule cong :premises (@p322) :args (@t126))
163.16/163.40	(step @p324 :rule beta-reduce :args ((= (_ @t287 @t1) @t256)))
163.16/163.40	(step @p325 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t285) (forall @t11 (or @t221 @t286))) @t3) @t287)))
163.16/163.40	(step @p326 :rule refl :args (@t3))
163.16/163.40	(step @p327 :rule alpha_equiv :args (@t223 (@list @t3) (@list @t285)))
163.16/163.40	(step @p328 :rule ho_cong :premises (@p327 @p326))
163.16/163.40	(step @p329 :rule trans :premises (@p328 @p325))
163.16/163.40	(step @p330 :rule ho_cong :premises (@p329 @p156))
163.16/163.40	(step @p331 :rule trans :premises (@p330 @p324))
163.16/163.40	(step @p332 :rule cong :premises (@p331) :args (@t288))
163.16/163.40	(step @p333 :rule beta-reduce :args ((= (_ @t289 @t3) @t222)))
163.16/163.40	(step @p334 :rule beta-reduce :args ((= @t290 @t289)))
163.16/163.40	(step @p335 :rule ho_cong :premises (@p334 @p147))
163.16/163.40	(step @p336 :rule trans :premises (@p335 @p333))
163.16/163.40	(step @p337 :rule nary_cong :premises (@p336 @p332) :args ((and (_ @t290 @t3) @t288)))
163.16/163.40	(step @p338 :rule ho_cong :premises (@p179 @p147))
163.16/163.40	(step @p339 :rule ho_cong :premises (@p338 @p156))
163.16/163.40	(step @p340 :rule cong :premises (@p339) :args (@t116))
163.16/163.40	(step @p341 :rule ho_cong :premises (@p179 @p156))
163.16/163.40	(step @p342 :rule ho_cong :premises (@p341 @p147))
163.16/163.40	(step @p343 :rule nary_cong :premises (@p342 @p340) :args (@t122))
163.16/163.40	(step @p344 :rule trans :premises (@p343 @p337))
163.16/163.40	(step @p345 :rule cong :premises (@p344) :args (@t123))
163.16/163.40	(step @p346 :rule trans :premises (@p48 @p345))
163.16/163.40	(step @p347 :rule ho_cong :premises (@p346 @p156))
163.16/163.40	(step @p348 :rule ho_cong :premises (@p347 @p147))
163.16/163.40	(step @p349 :rule nary_cong :premises (@p348 @p323) :args (@t128))
163.16/163.40	(step @p350 :rule trans :premises (@p349 @p302))
163.16/163.40	(step @p351 :rule cong :premises (@p350) :args (@t129))
163.16/163.40	(step @p352 :rule trans :premises (@p49 @p351))
163.16/163.40	(step @p353 :rule ho_cong :premises (@p352 @p125))
163.16/163.40	(step @p354 :rule ho_cong :premises (@p353 @p116))
163.16/163.40	(step @p355 :rule cong :premises (@p354) :args (@t23))
163.16/163.40	(step @p356 :rule ho_cong :premises (@p214 @p355))
163.16/163.40	(step @p357 :rule ho_cong :premises (@p223 @p356))
163.16/163.40	(step @p358 :rule trans :premises (@p357 @p257))
163.16/163.40	(step @p359 :rule eq_resolve :premises (@p7 @p358))
163.16/163.40	(step @p360 :rule reordering :premises (@p359) :args ((or @t134 @t238)))
163.16/163.40	(step @p361 :rule chain_resolution :premises (@p360 @p228) :args (@t291 @t292))
163.16/163.40	(step @p362 :rule cnf_and_pos :args (@t238 1))
163.16/163.40	(step @p363 :rule reordering :premises (@p362) :args ((or @t232 (not @t238))))
163.16/163.40	(step @p364 :rule chain_resolution :premises (@p363 @p361) :args (@t293 (@list @t238)))
163.16/163.40	(step @p365 :rule instantiate :premises (@p364) :args (@t298))
163.16/163.40	(step @p366 :rule not_or_elim :premises (@p227) :args (0))
163.16/163.40	(step @p367 :rule skolemize :premises (@p366))
163.16/163.40	(step @p368 :rule bool-double-not-elim :args (@t301))
163.16/163.40	(step @p369 :rule refl :args (@t318))
163.16/163.40	(step @p370 :rule nary_cong :premises (@p369 @p368) :args ((or @t318 (not @t304))))
163.16/163.40	(step @p371 :rule cnf_or_neg :args (@t318 1))
163.16/163.40	(step @p372 :rule eq_resolve :premises (@p371 @p370))
163.16/163.40	(step @p373 :rule reordering :premises (@p372) :args ((or @t301 @t318)))
163.16/163.40	(step @p374 :rule chain_resolution :premises (@p373 @p367) :args (@t291 @t319))
163.16/163.40	(step @p375 :rule instantiate :premises (@p374) :args ((@list @t294)))
163.16/163.40	(step @p376 :rule bool-double-not-elim :args (@t309))
163.16/163.40	(step @p377 :rule refl :args (@t311))
163.16/163.40	(step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or @t311 (not @t310))))
163.16/163.40	(step @p379 :rule cnf_or_neg :args (@t311 0))
163.16/163.40	(step @p380 :rule eq_resolve :premises (@p379 @p378))
163.16/163.40	(step @p381 :rule reordering :premises (@p380) :args ((or @t309 @t311)))
163.16/163.40	(step @p382 :rule bool-double-not-elim :args (@t307))
163.16/163.40	(step @p383 :rule nary_cong :premises (@p377 @p382) :args ((or @t311 (not @t308))))
163.16/163.40	(step @p384 :rule cnf_or_neg :args (@t311 1))
163.16/163.40	(step @p385 :rule eq_resolve :premises (@p384 @p383))
163.16/163.40	(step @p386 :rule reordering :premises (@p385) :args ((or @t307 @t311)))
163.16/163.40	(step @p387 :rule bool-double-not-elim :args (@t302))
163.16/163.40	(step @p388 :rule nary_cong :premises (@p369 @p387) :args ((or @t318 (not @t303))))
163.16/163.40	(step @p389 :rule cnf_or_neg :args (@t318 2))
163.16/163.40	(step @p390 :rule eq_resolve :premises (@p389 @p388))
163.16/163.40	(step @p391 :rule reordering :premises (@p390) :args ((or @t302 @t318)))
163.16/163.40	(step @p392 :rule chain_resolution :premises (@p391 @p367) :args (@t291 @t319))
163.16/163.40	(step @p393 :rule instantiate :premises (@p392) :args ((@list @t305)))
163.16/163.40	(step @p394 :rule cnf_or_pos :args (@t322))
163.16/163.40	(step @p395 :rule reordering :premises (@p394) :args ((or @t310 @t321 (not @t322))))
163.16/163.40	(step @p396 :rule refl :args (@t328))
163.16/163.40	(step @p397 :rule bool-double-not-elim :args (@t320))
163.16/163.40	(step @p398 :rule nary_cong :premises (@p397 @p396) :args ((or (not @t321) @t328)))
163.16/163.40	(assume-push @p529 @t321)
163.16/163.40	(step @p400 :rule skolemize :premises (@p529))
163.16/163.40	(step-pop @p529 :rule scope :premises (@p400))
163.16/163.40	(step @p401 :rule process_scope :premises (@p529) :args (@t328))
163.16/163.40	(step @p403 :rule implies_elim :premises (@p401))
163.16/163.40	(step @p404 :rule eq_resolve :premises (@p403 @p398))
163.16/163.40	(step @p405 :rule bool-double-not-elim :args (@t325))
163.16/163.40	(step @p406 :rule refl :args (@t327))
163.16/163.40	(step @p407 :rule nary_cong :premises (@p406 @p405) :args ((or @t327 (not @t326))))
163.16/163.40	(step @p408 :rule cnf_or_neg :args (@t327 0))
163.16/163.40	(step @p409 :rule eq_resolve :premises (@p408 @p407))
163.16/163.40	(step @p410 :rule reordering :premises (@p409) :args ((or @t325 @t327)))
163.16/163.40	(step @p411 :rule cnf_or_neg :args (@t327 1))
163.16/163.40	(step @p412 :rule refl :args (@t335))
163.16/163.40	(step @p413 :rule nary_cong :premises (@p412 @p51) :args (@t336))
163.16/163.40	(step @p414 :rule quant-miniscope-or :args ((= (forall @t57 @t337) @t336)))
163.16/163.40	(step @p415 :rule trans :premises (@p414 @p413))
163.16/163.40	(step @p416 :rule beta-reduce :args ((= @t339 @t337)))
163.16/163.40	(step @p417 :rule cong :premises (@p416) :args (@t340))
163.16/163.40	(step @p418 :rule trans :premises (@p417 @p415))
163.16/163.40	(step @p419 :rule beta-reduce :args ((= (_ @t167 @t338) @t340)))
163.16/163.40	(step @p420 :rule trans :premises (@p419 @p418))
163.16/163.40	(step @p421 :rule quant-miniscope-or :args ((= (forall @t65 @t341) @t337)))
163.16/163.40	(step @p422 :rule aci_norm :args ((= @t342 @t341)))
163.16/163.40	(step @p423 :rule cong :premises (@p422) :args ((forall @t65 @t342)))
163.16/163.40	(step @p424 :rule trans :premises (@p423 @p421))
163.16/163.40	(step @p425 :rule beta-reduce :args ((= @t344 @t335)))
163.16/163.40	(step @p426 :rule nary_cong :premises (@p66 @p425) :args (@t345))
163.16/163.40	(step @p427 :rule cong :premises (@p426) :args (@t346))
163.16/163.40	(step @p428 :rule trans :premises (@p427 @p424))
163.16/163.40	(step @p429 :rule cong :premises (@p428) :args (@t347))
163.16/163.40	(step @p430 :rule beta-reduce :args ((= (_ @t176 @t343) @t347)))
163.16/163.40	(step @p431 :rule trans :premises (@p430 @p429))
163.16/163.40	(step @p432 :rule beta-reduce :args ((= (_ @t348 tptp.france) @t335)))
163.16/163.40	(step @p433 :rule beta-reduce :args ((= @t350 @t348)))
163.16/163.40	(step @p434 :rule ho_cong :premises (@p433 @p105))
163.16/163.40	(step @p435 :rule trans :premises (@p434 @p432))
163.16/163.40	(step @p436 :rule cong :premises (@p435) :args ((lambda @t13 (_ @t350 tptp.france))))
163.16/163.40	(step @p437 :rule ho_cong :premises (@p133 @p436))
163.16/163.40	(step @p438 :rule trans :premises (@p437 @p431))
163.16/163.40	(step @p439 :rule ho_cong :premises (@p136 @p438))
163.16/163.40	(step @p440 :rule trans :premises (@p439 @p420))
163.16/163.40	(step @p441 :rule aci_norm :args ((= (and @t265 @t261) @t349)))
163.16/163.40	(step @p442 :rule bool-double-not-elim :args (@t261))
163.16/163.40	(step @p443 :rule cong :premises (@p296) :args (@t351))
163.16/163.40	(step @p444 :rule trans :premises (@p443 @p442))
163.16/163.40	(step @p445 :rule nary_cong :premises (@p300 @p444) :args ((and @t281 @t351)))
163.16/163.40	(step @p446 :rule trans :premises (@p445 @p441))
163.16/163.40	(step @p447 :rule cong :premises (@p323) :args (@t130))
163.16/163.40	(step @p448 :rule nary_cong :premises (@p348 @p447) :args (@t131))
163.16/163.40	(step @p449 :rule trans :premises (@p448 @p446))
163.16/163.40	(step @p450 :rule cong :premises (@p449) :args (@t132))
163.16/163.40	(step @p451 :rule trans :premises (@p50 @p450))
163.16/163.40	(step @p452 :rule ho_cong :premises (@p451 @p121))
163.16/163.40	(step @p453 :rule ho_cong :premises (@p452 @p105))
163.16/163.40	(step @p454 :rule cong :premises (@p453) :args (@t24))
163.16/163.40	(step @p455 :rule ho_cong :premises (@p214 @p454))
163.16/163.40	(step @p456 :rule ho_cong :premises (@p223 @p455))
163.16/163.40	(step @p457 :rule trans :premises (@p456 @p440))
163.16/163.40	(step @p458 :rule eq_resolve :premises (@p9 @p457))
163.16/163.40	(step @p459 :rule reordering :premises (@p458) :args ((or @t134 @t335)))
163.16/163.40	(step @p460 :rule chain_resolution :premises (@p459 @p228) :args (@t291 @t292))
163.16/163.40	(step @p461 :rule cnf_and_pos :args (@t335 1))
163.16/163.40	(step @p462 :rule reordering :premises (@p461) :args ((or @t333 (not @t335))))
163.16/163.40	(step @p463 :rule chain_resolution :premises (@p462 @p460) :args (@t293 (@list @t335)))
163.16/163.40	(step @p464 :rule instantiate :premises (@p463) :args (@t352))
163.16/163.40	(step @p465 :rule cnf_or_pos :args (@t355))
163.16/163.40	(step @p466 :rule reordering :premises (@p465) :args ((or @t324 @t354 (not @t355))))
163.16/163.40	(step @p467 :rule cnf_or_pos :args (@t356))
163.16/163.40	(step @p468 :rule reordering :premises (@p467) :args ((or @t326 @t353 (not @t356))))
163.16/163.40	(assume-push @p531 @t307)
163.16/163.40	(step @p470 :rule instantiate :premises (@p531) :args (@t352))
163.16/163.40	(step-pop @p531 :rule scope :premises (@p470))
163.16/163.40	(step @p471 :rule process_scope :premises (@p531) :args (@t356))
163.16/163.40	(step @p473 :rule implies_elim :premises (@p471))
163.16/163.40	(step @p474 :rule chain_resolution :premises (@p473 @p468 @p466 @p464 @p411 @p410) :args ((@list true true false true false) (@list @t356 @t353 @t355 @t324 @t325)))
163.16/163.40	(step @p475 :rule factoring :premises (@p474))
163.16/163.40	(step @p476 :rule chain_resolution :premises (@p475 @p404 @p395 @p393 @p386 @p381) :args ((@list true true false false false) (@list @t327 @t320 @t322 @t307 @t309)))
163.16/163.40	(step @p477 :rule factoring :premises (@p476))
163.16/163.40	(step @p478 :rule cnf_or_neg :args (@t318 0))
163.16/163.40	(step @p479 :rule chain_resolution :premises (@p478 @p367) :args (@t291 @t319))
163.16/163.40	(step @p480 :rule cnf_and_neg :args (@t317))
163.16/163.40	(step @p481 :rule chain_resolution :premises (@p480 @p479 @p477) :args ((@list true false) (@list @t317 @t311)))
163.16/163.40	(step @p482 :rule bool-double-not-elim :args (@t314))
163.16/163.40	(step @p483 :rule refl :args (@t316))
163.16/163.40	(step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or @t316 (not @t315))))
163.16/163.40	(step @p485 :rule cnf_or_neg :args (@t316 0))
163.16/163.40	(step @p486 :rule eq_resolve :premises (@p485 @p484))
163.16/163.40	(step @p487 :rule reordering :premises (@p486) :args ((or @t314 @t316)))
163.16/163.40	(step @p488 :rule chain_resolution :premises (@p487 @p481) :args (@t291 @t357))
163.16/163.40	(step @p489 :rule cnf_or_pos :args (@t359))
163.16/163.40	(step @p490 :rule reordering :premises (@p489) :args ((or @t315 @t358 (not @t359))))
163.16/163.40	(step @p491 :rule chain_resolution :premises (@p490 @p488 @p375) :args (@t360 (@list @t314 @t359)))
163.16/163.40	(step @p492 :rule refl :args (@t365))
163.16/163.40	(step @p493 :rule bool-double-not-elim :args (@t296))
163.16/163.40	(step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or (not @t358) @t365)))
163.16/163.40	(assume-push @p533 @t358)
163.16/163.40	(step @p496 :rule skolemize :premises (@p533))
163.16/163.40	(step-pop @p533 :rule scope :premises (@p496))
163.16/163.40	(step @p497 :rule process_scope :premises (@p533) :args (@t365))
163.16/163.40	(step @p499 :rule implies_elim :premises (@p497))
163.16/163.40	(step @p500 :rule eq_resolve :premises (@p499 @p494))
163.16/163.40	(step @p501 :rule chain_resolution :premises (@p500 @p491) :args (@t291 (@list @t296)))
163.16/163.40	(step @p502 :rule cnf_or_neg :args (@t364 1))
163.16/163.40	(step @p503 :rule chain_resolution :premises (@p502 @p501) :args (@t291 @t366))
163.16/163.40	(step @p504 :rule bool-double-not-elim :args (@t312))
163.16/163.40	(step @p505 :rule nary_cong :premises (@p483 @p504) :args ((or @t316 (not @t313))))
163.16/163.40	(step @p506 :rule cnf_or_neg :args (@t316 1))
163.16/163.40	(step @p507 :rule eq_resolve :premises (@p506 @p505))
163.16/163.40	(step @p508 :rule reordering :premises (@p507) :args ((or @t312 @t316)))
163.16/163.40	(step @p509 :rule chain_resolution :premises (@p508 @p481) :args (@t291 @t357))
163.16/163.40	(assume-push @p535 @t312)
163.16/163.40	(step @p511 :rule instantiate :premises (@p535) :args (@t298))
163.16/163.40	(step-pop @p535 :rule scope :premises (@p511))
163.16/163.40	(step @p512 :rule process_scope :premises (@p535) :args (@t368))
163.16/163.40	(step @p514 :rule implies_elim :premises (@p512))
163.16/163.40	(step @p515 :rule chain_resolution :premises (@p514 @p509) :args (@t293 (@list @t312)))
163.16/163.40	(step @p516 :rule bool-double-not-elim :args (@t362))
163.16/163.40	(step @p517 :rule refl :args (@t364))
163.16/163.40	(step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or @t364 (not @t363))))
163.16/163.40	(step @p519 :rule cnf_or_neg :args (@t364 0))
163.16/163.40	(step @p520 :rule eq_resolve :premises (@p519 @p518))
163.16/163.40	(step @p521 :rule reordering :premises (@p520) :args ((or @t362 @t364)))
163.16/163.40	(step @p522 :rule chain_resolution :premises (@p521 @p501) :args (@t291 @t366))
163.16/163.40	(step @p523 :rule cnf_or_pos :args (@t368))
163.16/163.40	(step @p524 :rule reordering :premises (@p523) :args ((or @t363 @t367 (not @t368))))
163.16/163.40	(step @p525 :rule chain_resolution :premises (@p524 @p522 @p515) :args (@t360 (@list @t362 @t368)))
163.16/163.40	(step @p526 :rule cnf_or_pos :args (@t370))
163.16/163.40	(step @p527 :rule reordering :premises (@p526) :args ((or @t361 @t369 (not @t370))))
163.16/163.40	(step @p528 false :rule chain_resolution :premises (@p527 @p525 @p503 @p365) :args ((@list false true false) (@list @t367 @t361 @t370)))
163.16/163.40	)
163.16/163.40	% SZS output end Proof
163.16/163.40	% cvc5 exiting
163.16/163.40	EOF