0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.34	% Computer : n031.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 1920
0.12/0.34	% WCLimit  : 240
0.12/0.34	% DateTime : Sat Sep  6 01:08:37 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.51	%----Proving TH0
152.96/153.44	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
152.96/153.44	--- 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...
152.96/153.44	--- 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...
152.96/153.44	--- Run --ho-elim --full-saturate-quant at 14s...
152.96/153.44	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
152.96/153.44	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
152.96/153.44	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
152.96/153.44	% SZS status Theorem
152.96/153.44	% SZS output start Proof
152.96/153.44	(
152.96/153.44	(declare-type tptp.reg ())
152.96/153.44	(declare-type $$unsorted ())
152.96/153.44	(declare-type tptp.mu ())
152.96/153.44	(declare-const tptp.c (-> tptp.reg tptp.reg Bool))
152.96/153.44	(declare-const tptp.catalunya tptp.reg)
152.96/153.44	(declare-const tptp.paris tptp.reg)
152.96/153.44	(declare-const tptp.a (-> $$unsorted $$unsorted Bool))
152.96/153.44	(declare-const tptp.spain tptp.reg)
152.96/153.44	(declare-const tptp.france tptp.reg)
152.96/153.44	(declare-const tptp.mfalse (-> $$unsorted Bool))
152.96/153.44	(declare-const tptp.fool (-> $$unsorted $$unsorted Bool))
152.96/153.44	(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" $$unsorted)) (= _let_2 _let_1)))))
152.96/153.44	(define tptp.meq_prop () (let ((_let_1 (@var "W" $$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)))))))
152.96/153.44	(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))))))
152.96/153.44	(define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
152.96/153.44	(define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
152.96/153.44	(define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
152.96/153.44	(define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
152.96/153.44	(define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1))))))
152.96/153.44	(define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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))))))
152.96/153.44	(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)))))))
152.96/153.44	(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)))))))
152.96/153.44	(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))))))
152.96/153.44	(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))))))
152.96/153.44	(define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true))
152.96/153.44	(define tptp.mbox () (let ((_let_1 (@var "V" $$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)))))))))
152.96/153.44	(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))))))
152.96/153.44	(define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
152.96/153.44	(define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
152.96/153.44	(define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1))))))))
152.96/153.44	(define tptp.mtransitive () (let ((_let_1 (@var "U" $$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))))))))))
152.96/153.44	(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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1))))))))))
152.96/153.44	(define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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))))))))))
152.96/153.44	(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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1)))))))))))))
152.96/153.44	(define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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))))))))))))
152.96/153.44	(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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))
152.96/153.44	(define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))))))
152.96/153.44	(define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1))))))
152.96/153.44	(define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1)))))))
152.96/153.44	(define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1))))))
152.96/153.44	(define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1)))))))
152.96/153.44	(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))))))
152.96/153.44	(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)))))))))
152.96/153.44	(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))))))
152.96/153.44	(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)))))))))
152.96/153.44	(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)))))))
152.96/153.44	(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)))))))
152.96/153.44	(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)))))))
152.96/153.44	(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))))))))))
152.96/153.44	(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)))))))))))
152.96/153.44	(define @t1 () (@var "X" tptp.reg))
152.96/153.44	(define @t2 () (_ tptp.c @t1))
152.96/153.44	(define @t3 () (_ @t2 @t1))
152.96/153.44	(define @t4 () (@list @t1))
152.96/153.44	(define @t5 () (forall @t4 @t3))
152.96/153.44	(define @t6 () (@var "Y" tptp.reg))
152.96/153.44	(define @t7 () (_ (_ tptp.c @t6) @t1))
152.96/153.44	(define @t8 () (_ @t2 @t6))
152.96/153.44	(define @t9 () (@list @t1 @t6))
152.96/153.44	(define @t10 () (forall @t9 (=> @t8 @t7)))
152.96/153.44	(define @t11 () (@list (@var "X" $$unsorted)))
152.96/153.44	(define @t12 () (_ tptp.mbox tptp.fool))
152.96/153.44	(define @t13 () (@var "Z" tptp.reg))
152.96/153.44	(define @t14 () (not (_ (_ tptp.eq @t13) @t6)))
152.96/153.44	(define @t15 () (_ (_ tptp.o @t13) tptp.france))
152.96/153.44	(define @t16 () (and @t15 @t15 @t14))
152.96/153.44	(define @t17 () (@list @t13 @t6))
152.96/153.44	(define @t18 () (exists @t17 @t16))
152.96/153.44	(define @t19 () (lambda @t11 @t18))
152.96/153.44	(define @t20 () (_ tptp.mbox tptp.a))
152.96/153.44	(define @t21 () (not (_ tptp.mvalid (_ @t20 @t19))))
152.96/153.44	(define @t22 () (@var "__flatten_var_0" $$unsorted))
152.96/153.44	(define @t23 () (@var "A" (-> $$unsorted Bool)))
152.96/153.44	(define @t24 () (_ @t12 @t23))
152.96/153.44	(define @t25 () (_ tptp.mimplies @t24))
152.96/153.44	(define @t26 () (@list @t23 @t22))
152.96/153.44	(define @t27 () (@var "Phi" (-> $$unsorted Bool)))
152.96/153.44	(define @t28 () (lambda @t11 (_ (_ tptp.tpp tptp.catalunya) tptp.spain)))
152.96/153.44	(define @t29 () (@var "Y" tptp.mu))
152.96/153.44	(define @t30 () (@var "X" tptp.mu))
152.96/153.44	(define @t31 () (@var "W" $$unsorted))
152.96/153.44	(define @t32 () (lambda (@list @t30 @t29 @t31) (= @t30 @t29)))
152.96/153.44	(define @t33 () (@var "Y" (-> $$unsorted Bool)))
152.96/153.44	(define @t34 () (@var "X" (-> $$unsorted Bool)))
152.96/153.44	(define @t35 () (lambda (@list @t34 @t33 @t31) (= (_ @t34 @t31) (_ @t33 @t31))))
152.96/153.44	(define @t36 () (_ @t27 @t31))
152.96/153.44	(define @t37 () (not @t36))
152.96/153.44	(define @t38 () (@list @t27 @t31))
152.96/153.44	(define @t39 () (lambda @t38 @t37))
152.96/153.44	(define @t40 () (@var "Psi" (-> $$unsorted Bool)))
152.96/153.44	(define @t41 () (lambda (@list @t27 @t40 @t31) (or @t36 (_ @t40 @t31))))
152.96/153.44	(define @t42 () (_ tptp.mnot @t40))
152.96/153.44	(define @t43 () (_ tptp.mnot @t27))
152.96/153.44	(define @t44 () (_ tptp.mor @t43))
152.96/153.44	(define @t45 () (@list @t27 @t40 @t22))
152.96/153.44	(define @t46 () (lambda @t45 (_ (_ tptp.mnot (_ @t44 @t42)) @t22)))
152.96/153.44	(define @t47 () (lambda @t45 (_ (_ @t44 @t40) @t22)))
152.96/153.44	(define @t48 () (lambda @t45 (_ (_ (_ tptp.mor @t42) @t27) @t22)))
152.96/153.44	(define @t49 () (lambda @t45 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t27) @t40)) (_ (_ tptp.mimplies @t40) @t27)) @t22)))
152.96/153.44	(define @t50 () (lambda @t45 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t27) @t40)) @t22)))
152.96/153.44	(define @t51 () (@var "Phi" (-> tptp.mu $$unsorted Bool)))
152.96/153.44	(define @t52 () (_ @t51 @t30))
152.96/153.44	(define @t53 () (lambda (@list @t51 @t31) (forall (@list @t30) (_ @t52 @t31))))
152.96/153.44	(define @t54 () (@var "P" (-> $$unsorted Bool)))
152.96/153.44	(define @t55 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))
152.96/153.44	(define @t56 () (_ @t55 @t54))
152.96/153.44	(define @t57 () (lambda (@list @t55 @t31) (forall (@list @t54) (_ @t56 @t31))))
152.96/153.44	(define @t58 () (lambda (@list @t51 @t22) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list @t30 @t22) (_ (_ tptp.mnot @t52) @t22)))) @t22)))
152.96/153.44	(define @t59 () (lambda (@list @t55 @t22) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t54 @t22) (_ (_ tptp.mnot @t56) @t22)))) @t22)))
152.96/153.44	(define @t60 () (@list @t31))
152.96/153.44	(define @t61 () (lambda @t60 true))
152.96/153.44	(define @t62 () (@var "V" $$unsorted))
152.96/153.44	(define @t63 () (_ @t27 @t62))
152.96/153.44	(define @t64 () (@var "R" (-> $$unsorted $$unsorted Bool)))
152.96/153.44	(define @t65 () (_ (_ @t64 @t31) @t62))
152.96/153.44	(define @t66 () (not @t65))
152.96/153.44	(define @t67 () (or @t66 @t63))
152.96/153.44	(define @t68 () (@list @t62))
152.96/153.44	(define @t69 () (forall @t68 @t67))
152.96/153.44	(define @t70 () (@list @t64 @t27 @t31))
152.96/153.44	(define @t71 () (lambda @t70 @t69))
152.96/153.44	(define @t72 () (lambda (@list @t64 @t27 @t22) (_ (_ tptp.mnot (_ (_ tptp.mbox @t64) @t43)) @t22)))
152.96/153.44	(define @t73 () (@var "S" $$unsorted))
152.96/153.44	(define @t74 () (_ @t64 @t73))
152.96/153.44	(define @t75 () (@list @t73))
152.96/153.44	(define @t76 () (@list @t64))
152.96/153.44	(define @t77 () (lambda @t76 (forall @t75 (_ @t74 @t73))))
152.96/153.44	(define @t78 () (@var "T" $$unsorted))
152.96/153.44	(define @t79 () (_ @t64 @t78))
152.96/153.44	(define @t80 () (_ @t74 @t78))
152.96/153.44	(define @t81 () (lambda @t76 (forall (@list @t73 @t78) (=> @t80 (_ @t79 @t73)))))
152.96/153.44	(define @t82 () (@list @t78))
152.96/153.44	(define @t83 () (lambda @t76 (forall @t75 (exists @t82 @t80))))
152.96/153.44	(define @t84 () (@var "U" $$unsorted))
152.96/153.44	(define @t85 () (_ @t74 @t84))
152.96/153.44	(define @t86 () (_ @t79 @t84))
152.96/153.44	(define @t87 () (@list @t73 @t78 @t84))
152.96/153.44	(define @t88 () (lambda @t76 (forall @t87 (=> (and @t80 @t86) @t85))))
152.96/153.44	(define @t89 () (and @t80 @t85))
152.96/153.44	(define @t90 () (lambda @t76 (forall @t87 (=> @t89 @t86))))
152.96/153.44	(define @t91 () (= @t78 @t84))
152.96/153.44	(define @t92 () (lambda @t76 (forall @t87 (=> @t89 @t91))))
152.96/153.44	(define @t93 () (@list @t84))
152.96/153.44	(define @t94 () (lambda @t76 (forall @t75 (exists @t82 (and @t80 (forall @t93 (=> @t85 @t91)))))))
152.96/153.44	(define @t95 () (_ @t64 @t84))
152.96/153.44	(define @t96 () (_ @t95 @t78))
152.96/153.44	(define @t97 () (lambda @t76 (forall @t87 (=> @t80 (exists @t93 (and @t85 @t96))))))
152.96/153.44	(define @t98 () (lambda @t76 (forall @t87 (=> @t89 (or @t86 @t91 @t96)))))
152.96/153.44	(define @t99 () (lambda @t76 (forall @t87 (=> @t89 (exists @t68 (and (_ @t79 @t62) (_ @t95 @t62)))))))
152.96/153.44	(define @t100 () (forall @t60 @t36))
152.96/153.44	(define @t101 () (@list @t27))
152.96/153.44	(define @t102 () (lambda @t101 @t100))
152.96/153.44	(define @t103 () (lambda @t101 (forall @t60 @t37)))
152.96/153.44	(define @t104 () (lambda @t101 (exists @t60 @t36)))
152.96/153.44	(define @t105 () (lambda @t101 (exists @t60 @t37)))
152.96/153.44	(define @t106 () (not @t8))
152.96/153.44	(define @t107 () (lambda @t9 @t106))
152.96/153.44	(define @t108 () (_ tptp.c @t13))
152.96/153.44	(define @t109 () (_ @t108 @t6))
152.96/153.44	(define @t110 () (_ @t108 @t1))
152.96/153.44	(define @t111 () (@list @t13))
152.96/153.44	(define @t112 () (forall @t111 (=> @t110 @t109)))
152.96/153.44	(define @t113 () (lambda @t9 @t112))
152.96/153.44	(define @t114 () (_ (_ tptp.p @t6) @t1))
152.96/153.44	(define @t115 () (_ (_ tptp.p @t1) @t6))
152.96/153.44	(define @t116 () (and @t115 @t114))
152.96/153.44	(define @t117 () (lambda @t9 @t116))
152.96/153.44	(define @t118 () (_ tptp.p @t13))
152.96/153.44	(define @t119 () (and (_ @t118 @t1) (_ @t118 @t6)))
152.96/153.44	(define @t120 () (exists @t111 @t119))
152.96/153.44	(define @t121 () (lambda @t9 @t120))
152.96/153.44	(define @t122 () (not @t114))
152.96/153.44	(define @t123 () (_ (_ tptp.o @t1) @t6))
152.96/153.44	(define @t124 () (lambda @t9 (and @t123 (not @t115) @t122)))
152.96/153.44	(define @t125 () (not @t123))
152.96/153.44	(define @t126 () (and @t8 @t125))
152.96/153.44	(define @t127 () (lambda @t9 @t126))
152.96/153.44	(define @t128 () (and @t115 @t122))
152.96/153.44	(define @t129 () (lambda @t9 @t128))
152.96/153.44	(define @t130 () (_ tptp.ec @t13))
152.96/153.44	(define @t131 () (and (_ @t130 @t1) (_ @t130 @t6)))
152.96/153.44	(define @t132 () (exists @t111 @t131))
152.96/153.44	(define @t133 () (_ (_ tptp.pp @t1) @t6))
152.96/153.44	(define @t134 () (and @t133 @t132))
152.96/153.44	(define @t135 () (lambda @t9 @t134))
152.96/153.44	(define @t136 () (lambda @t9 (and @t133 (not @t132))))
152.96/153.44	(define @t137 () (@const 0 (@ho-elim-sort (-> tptp.reg tptp.reg Bool))))
152.96/153.44	(define @t138 () (@const 1 (-> (@ho-elim-sort (-> tptp.reg tptp.reg Bool)) tptp.reg (@ho-elim-sort (-> tptp.reg Bool)))))
152.96/153.44	(define @t139 () (@const 2 (-> (@ho-elim-sort (-> tptp.reg Bool)) tptp.reg Bool)))
152.96/153.44	(define @t140 () (_ @t138 @t137 @t1))
152.96/153.44	(define @t141 () (tptp.c @t6 @t1))
152.96/153.44	(define @t142 () (tptp.c @t1 @t6))
152.96/153.44	(define @t143 () (or @t106 @t7))
152.96/153.44	(define @t144 () (_ @t138 @t137 @t13))
152.96/153.44	(define @t145 () (_ @t139 @t144 tptp.catalunya))
152.96/153.44	(define @t146 () (_ @t139 @t144 tptp.spain))
152.96/153.44	(define @t147 () (not @t146))
152.96/153.44	(define @t148 () (forall @t111 (or @t147 @t145)))
152.96/153.44	(define @t149 () (@quantifiers_skolemize @t148 0))
152.96/153.44	(define @t150 () (@list @t31 @t62))
152.96/153.44	(define @t151 () (forall @t150 (not (_ (@const 5 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) (_ (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))) (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))) @t31) @t62))))
152.96/153.44	(define @t152 () (@var "BOUND_VARIABLE_8181" tptp.reg))
152.96/153.44	(define @t153 () (_ @t138 @t137 @t152))
152.96/153.44	(define @t154 () (_ @t139 @t153 tptp.france))
152.96/153.44	(define @t155 () (@var "BOUND_VARIABLE_8711" tptp.reg))
152.96/153.44	(define @t156 () (not (_ @t139 @t153 @t155)))
152.96/153.44	(define @t157 () (@list @t152))
152.96/153.44	(define @t158 () (_ @t139 @t153 @t13))
152.96/153.44	(define @t159 () (@var "BOUND_VARIABLE_8728" tptp.reg))
152.96/153.44	(define @t160 () (_ @t138 @t137 @t159))
152.96/153.44	(define @t161 () (@var "BOUND_VARIABLE_8722" tptp.reg))
152.96/153.44	(define @t162 () (_ @t138 @t137 @t161))
152.96/153.44	(define @t163 () (@list @t13 @t6 @t155 @t161 @t159))
152.96/153.44	(define @t164 () (forall @t163 (or (and (or (not (_ @t139 @t162 @t13)) (_ @t139 @t162 @t6)) (or (not (_ @t139 @t160 @t6)) (_ @t139 @t160 @t13))) (not (forall @t157 (or @t156 @t158))) (not (forall @t157 (or @t156 @t154))))))
152.96/153.44	(define @t165 () (not (tptp.a @t31 @t62)))
152.96/153.44	(define @t166 () (forall @t150 @t165))
152.96/153.44	(define @t167 () (tptp.c @t152 tptp.france))
152.96/153.44	(define @t168 () (not (tptp.c @t152 @t155)))
152.96/153.44	(define @t169 () (not (forall @t157 (or @t168 @t167))))
152.96/153.44	(define @t170 () (tptp.c @t152 @t13))
152.96/153.44	(define @t171 () (not (forall @t157 (or @t168 @t170))))
152.96/153.44	(define @t172 () (or (not (tptp.c @t159 @t6)) (tptp.c @t159 @t13)))
152.96/153.44	(define @t173 () (or (not (tptp.c @t161 @t13)) (tptp.c @t161 @t6)))
152.96/153.44	(define @t174 () (and @t173 @t172))
152.96/153.44	(define @t175 () (or @t174 @t171 @t169))
152.96/153.44	(define @t176 () (not (forall @t163 @t175)))
152.96/153.44	(define @t177 () (forall @t68 @t165))
152.96/153.44	(define @t178 () (forall @t60 @t177))
152.96/153.44	(define @t179 () (or @t176 @t178))
152.96/153.44	(define @t180 () (or @t176 @t177))
152.96/153.44	(define @t181 () (lambda @t60 @t180))
152.96/153.44	(define @t182 () (_ @t181 @t31))
152.96/153.44	(define @t183 () (forall @t60 @t182))
152.96/153.44	(define @t184 () (_ @t27 @t31))
152.96/153.44	(define @t185 () (lambda @t101 (forall @t60 @t184)))
152.96/153.44	(define @t186 () (or @t176 @t165))
152.96/153.44	(define @t187 () (or @t165 @t176))
152.96/153.44	(define @t188 () (lambda @t11 @t176))
152.96/153.44	(define @t189 () (_ @t188 @t62))
152.96/153.44	(define @t190 () (or @t165 @t189))
152.96/153.44	(define @t191 () (forall @t68 @t190))
152.96/153.44	(define @t192 () (lambda @t60 @t191))
152.96/153.44	(define @t193 () (_ @t27 @t62))
152.96/153.44	(define @t194 () (lambda @t38 (forall @t68 (or @t165 @t193))))
152.96/153.44	(define @t195 () (or @t171 @t169))
152.96/153.44	(define @t196 () (or @t195 @t174))
152.96/153.44	(define @t197 () (forall @t163 @t196))
152.96/153.44	(define @t198 () (forall (@list @t155 @t161 @t159) @t196))
152.96/153.44	(define @t199 () (forall (@list @t159) @t172))
152.96/153.44	(define @t200 () (@var "BOUND_VARIABLE_8673" tptp.reg))
152.96/153.44	(define @t201 () (@list @t200))
152.96/153.44	(define @t202 () (@list @t161 @t159))
152.96/153.44	(define @t203 () (forall @t202 @t172))
152.96/153.44	(define @t204 () (forall (@list @t161) @t173))
152.96/153.44	(define @t205 () (@var "BOUND_VARIABLE_8681" tptp.reg))
152.96/153.44	(define @t206 () (@list @t205))
152.96/153.44	(define @t207 () (forall @t202 @t173))
152.96/153.44	(define @t208 () (and @t207 @t203))
152.96/153.44	(define @t209 () (forall @t202 @t174))
152.96/153.44	(define @t210 () (forall (@list @t155) @t195))
152.96/153.44	(define @t211 () (@var "BOUND_VARIABLE_8641" tptp.reg))
152.96/153.44	(define @t212 () (@list @t211))
152.96/153.44	(define @t213 () (or @t210 @t209))
152.96/153.44	(define @t214 () (not (tptp.c @t200 @t6)))
152.96/153.44	(define @t215 () (@list @t200))
152.96/153.44	(define @t216 () (tptp.c @t205 @t6))
152.96/153.44	(define @t217 () (@list @t205))
152.96/153.44	(define @t218 () (and (forall @t217 (or (not (tptp.c @t205 @t13)) @t216)) (forall @t215 (or @t214 (tptp.c @t200 @t13)))))
152.96/153.44	(define @t219 () (not (tptp.c @t152 @t211)))
152.96/153.44	(define @t220 () (not (forall @t157 (or @t219 @t170))))
152.96/153.44	(define @t221 () (@list @t211))
152.96/153.44	(define @t222 () (forall @t221 (or @t220 (not (forall @t157 (or @t219 @t167))))))
152.96/153.44	(define @t223 () (or @t222 @t218))
152.96/153.44	(define @t224 () (not @t218))
152.96/153.44	(define @t225 () (not @t224))
152.96/153.44	(define @t226 () (not @t222))
152.96/153.44	(define @t227 () (not @t226))
152.96/153.44	(define @t228 () (or @t227 @t227 @t225))
152.96/153.44	(define @t229 () (and @t226 @t226 @t224))
152.96/153.44	(define @t230 () (forall @t17 (not @t229)))
152.96/153.44	(define @t231 () (not @t230))
152.96/153.44	(define @t232 () (@list @t6))
152.96/153.44	(define @t233 () (lambda @t232 @t218))
152.96/153.44	(define @t234 () (tptp.c @t13 @t1))
152.96/153.44	(define @t235 () (tptp.c @t13 @t6))
152.96/153.44	(define @t236 () (not @t235))
152.96/153.44	(define @t237 () (forall @t111 (or @t236 @t234)))
152.96/153.44	(define @t238 () (@list @t13))
152.96/153.44	(define @t239 () (not @t234))
152.96/153.44	(define @t240 () (forall @t111 (or @t239 @t235)))
152.96/153.44	(define @t241 () (and @t240 @t237))
152.96/153.44	(define @t242 () (lambda @t9 @t241))
152.96/153.44	(define @t243 () (not (_ (_ @t242 @t13) @t6)))
152.96/153.44	(define @t244 () (tptp.c @t152 @t6))
152.96/153.44	(define @t245 () (not (forall @t157 (or @t219 @t244))))
152.96/153.44	(define @t246 () (lambda @t232 (not (forall @t221 (or @t220 @t245)))))
152.96/153.44	(define @t247 () (tptp.c @t152 @t1))
152.96/153.44	(define @t248 () (not @t170))
152.96/153.44	(define @t249 () (forall @t157 (or @t248 @t244)))
152.96/153.44	(define @t250 () (forall @t157 (or @t248 @t247)))
152.96/153.44	(define @t251 () (forall @t111 (or (not @t250) (not @t249))))
152.96/153.44	(define @t252 () (not @t251))
152.96/153.44	(define @t253 () (lambda @t9 @t252))
152.96/153.44	(define @t254 () (_ (_ @t253 @t13) tptp.france))
152.96/153.44	(define @t255 () (and @t254 @t254 @t243))
152.96/153.44	(define @t256 () (exists @t17 @t255))
152.96/153.44	(define @t257 () (lambda @t11 @t256))
152.96/153.44	(define @t258 () (_ @t64 @t31 @t62))
152.96/153.44	(define @t259 () (_ (lambda @t70 (forall @t68 (or (not @t258) @t193))) tptp.a))
152.96/153.44	(define @t260 () (@var "BOUND_VARIABLE_8143" tptp.reg))
152.96/153.44	(define @t261 () (tptp.c @t13 @t260))
152.96/153.44	(define @t262 () (lambda (@list @t260) (forall @t111 (or @t236 @t261))))
152.96/153.44	(define @t263 () (lambda @t9 @t240))
152.96/153.44	(define @t264 () (lambda @t232 @t240))
152.96/153.44	(define @t265 () (_ @t263 @t1))
152.96/153.44	(define @t266 () (_ (_ @t263 @t6) @t1))
152.96/153.44	(define @t267 () (_ @t265 @t6))
152.96/153.44	(define @t268 () (not @t110))
152.96/153.44	(define @t269 () (or @t268 @t109))
152.96/153.44	(define @t270 () (and @t250 @t249))
152.96/153.44	(define @t271 () (forall @t111 (not @t270)))
152.96/153.44	(define @t272 () (not @t271))
152.96/153.44	(define @t273 () (lambda @t232 @t249))
152.96/153.44	(define @t274 () (_ @t263 @t13))
152.96/153.44	(define @t275 () (and (_ @t274 @t1) (_ @t274 @t6)))
152.96/153.44	(define @t276 () (not @t148))
152.96/153.44	(define @t277 () (not @t145))
152.96/153.44	(define @t278 () (@var "BOUND_VARIABLE_8294" tptp.reg))
152.96/153.44	(define @t279 () (not (_ @t139 @t153 @t278)))
152.96/153.44	(define @t280 () (not (forall @t157 (or @t279 @t158))))
152.96/153.44	(define @t281 () (@list @t278))
152.96/153.44	(define @t282 () (and (not (forall @t111 (or @t277 (not (forall @t281 (or @t280 (not (forall @t157 (or @t279 (_ @t139 @t153 tptp.catalunya))))))) @t147 (not (forall @t281 (or @t280 (not (forall @t157 (or @t279 (_ @t139 @t153 tptp.spain)))))))))) (forall @t111 (or @t277 @t146)) @t276))
152.96/153.44	(define @t283 () (tptp.c @t13 tptp.catalunya))
152.96/153.44	(define @t284 () (tptp.c @t13 tptp.spain))
152.96/153.44	(define @t285 () (not @t284))
152.96/153.44	(define @t286 () (not @t283))
152.96/153.44	(define @t287 () (not (tptp.c @t152 @t278)))
152.96/153.44	(define @t288 () (not (forall @t157 (or @t287 @t170))))
152.96/153.44	(define @t289 () (not (forall @t281 (or @t288 (not (forall @t157 (or @t287 (tptp.c @t152 tptp.catalunya))))))))
152.96/153.44	(define @t290 () (and (not (forall @t111 (or @t286 @t289 @t285 (not (forall @t281 (or @t288 (not (forall @t157 (or @t287 (tptp.c @t152 tptp.spain)))))))))) (forall @t111 (or @t286 @t284)) (not (forall @t111 (or @t285 @t283)))))
152.96/153.44	(define @t291 () (or @t290 @t178))
152.96/153.44	(define @t292 () (or @t290 @t177))
152.96/153.44	(define @t293 () (lambda @t60 @t292))
152.96/153.44	(define @t294 () (_ @t293 @t31))
152.96/153.44	(define @t295 () (forall @t60 @t294))
152.96/153.44	(define @t296 () (or @t290 @t165))
152.96/153.44	(define @t297 () (or @t165 @t290))
152.96/153.44	(define @t298 () (lambda @t11 @t290))
152.96/153.44	(define @t299 () (_ @t298 @t62))
152.96/153.44	(define @t300 () (or @t165 @t299))
152.96/153.44	(define @t301 () (forall @t68 @t300))
152.96/153.44	(define @t302 () (lambda @t60 @t301))
152.96/153.44	(define @t303 () (not (forall @t157 (or @t287 @t244))))
152.96/153.44	(define @t304 () (forall @t281 (or @t288 @t303)))
152.96/153.44	(define @t305 () (not @t304))
152.96/153.44	(define @t306 () (lambda @t232 (and (not (forall @t111 (or @t286 @t289 @t236 @t305))) (forall @t111 (or @t286 @t235)) (not (forall @t111 (or @t236 @t283))))))
152.96/153.44	(define @t307 () (not @t237))
152.96/153.44	(define @t308 () (not (forall @t157 (or @t287 @t247))))
152.96/153.44	(define @t309 () (forall @t281 (or @t288 @t308)))
152.96/153.44	(define @t310 () (not @t309))
152.96/153.44	(define @t311 () (not (forall @t111 (or @t239 @t310 @t236 @t305))))
152.96/153.44	(define @t312 () (and @t311 @t240 @t307))
152.96/153.44	(define @t313 () (_ (lambda @t9 @t312) tptp.catalunya))
152.96/153.44	(define @t314 () (and @t240 @t307))
152.96/153.44	(define @t315 () (not @t109))
152.96/153.44	(define @t316 () (or @t268 @t310 @t315 @t305))
152.96/153.44	(define @t317 () (and @t109 @t304))
152.96/153.44	(define @t318 () (and @t110 @t309 @t109 @t304))
152.96/153.44	(define @t319 () (forall @t111 (not @t318)))
152.96/153.44	(define @t320 () (not @t319))
152.96/153.44	(define @t321 () (and @t110 @t309))
152.96/153.44	(define @t322 () (lambda @t232 @t317))
152.96/153.44	(define @t323 () (and @t8 @t251))
152.96/153.44	(define @t324 () (lambda @t9 @t323))
152.96/153.44	(define @t325 () (_ @t324 @t13))
152.96/153.44	(define @t326 () (and (_ @t325 @t1) (_ @t325 @t6)))
152.96/153.44	(define @t327 () (exists @t111 @t326))
152.96/153.44	(define @t328 () (lambda @t232 @t314))
152.96/153.44	(define @t329 () (_ (lambda @t9 @t314) @t1))
152.96/153.44	(define @t330 () (lambda @t232 @t252))
152.96/153.44	(define @t331 () (_ @t253 @t1))
152.96/153.44	(define @t332 () (not (_ @t331 @t6)))
152.96/153.44	(define @t333 () (not @t266))
152.96/153.44	(define @t334 () (@list true))
152.96/153.44	(define @t335 () (@list false))
152.96/153.44	(define @t336 () (_ @t138 @t137 @t149))
152.96/153.44	(define @t337 () (_ @t139 @t336 tptp.catalunya))
152.96/153.44	(define @t338 () (or (not (_ @t139 @t336 tptp.spain)) @t337))
152.96/153.44	(define @t339 () (_ @t138 @t137 tptp.catalunya))
152.96/153.44	(define @t340 () (_ @t139 @t339 @t149))
152.96/153.44	(define @t341 () (not @t340))
152.96/153.44	(define @t342 () (or @t341 @t337))
152.96/153.44	(define @t343 () (_ @t139 @t339 tptp.france))
152.96/153.44	(define @t344 () (not @t343))
152.96/153.44	(define @t345 () (or @t344 @t340))
152.96/153.44	(define @t346 () (and @t345 (or @t341 @t343)))
152.96/153.44	(define @t347 () (forall @t157 (or (not @t154) @t154)))
152.96/153.44	(define @t348 () (not @t347))
152.96/153.44	(define @t349 () (or @t346 @t348 @t348))
152.96/153.44	(define @t350 () (@list @t164))
152.96/153.44	(define @t351 () (_ @t139 @t339 tptp.catalunya))
152.96/153.44	(define @t352 () (not @t351))
152.96/153.44	(define @t353 () (or @t352 @t343))
152.96/153.44	(define @t354 () (and (or @t344 @t351) @t353))
152.96/153.44	(define @t355 () (or @t354 @t348 @t348))
152.96/153.44	(define @t356 () (tptp.c @t1 @t1))
152.96/153.44	(assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue)))
152.96/153.44	(assume @p2 @t5)
152.96/153.44	(assume @p3 @t10)
152.96/153.44	(assume @p4 (_ tptp.mvalid (_ @t12 (lambda @t11 (_ (_ tptp.ec tptp.spain) tptp.france)))))
152.96/153.44	(assume @p5 @t21)
152.96/153.44	(assume @p6 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t26 (_ (_ @t25 @t23) @t22)))))
152.96/153.44	(assume @p7 (_ tptp.mvalid (_ tptp.mforall_prop (lambda (@list @t27 @t22) (_ (_ (_ tptp.mimplies (_ @t12 @t27)) (_ @t20 @t27)) @t22)))))
152.96/153.44	(assume @p8 (_ tptp.mvalid (_ @t20 (lambda @t11 (_ (_ tptp.ntpp tptp.paris) tptp.france)))))
152.96/153.44	(assume @p9 (_ tptp.mvalid (_ tptp.mforall_prop (lambda @t26 (_ (_ @t25 (_ @t12 @t24)) @t22)))))
152.96/153.44	(assume @p10 (_ tptp.mvalid (_ @t20 @t28)))
152.96/153.44	(assume @p11 true)
152.96/153.44	(step @p12 (= tptp.meq_ind @t32) :rule refl :args (@t32))
152.96/153.44	(step @p13 (= tptp.meq_prop @t35) :rule refl :args (@t35))
152.96/153.44	(step @p14 (= tptp.mnot @t39) :rule refl :args (@t39))
152.96/153.44	(step @p15 (= tptp.mor @t41) :rule refl :args (@t41))
152.96/153.44	(step @p16 (= tptp.mand @t46) :rule refl :args (@t46))
152.96/153.44	(step @p17 (= tptp.mimplies @t47) :rule refl :args (@t47))
152.96/153.44	(step @p18 (= tptp.mimplied @t48) :rule refl :args (@t48))
152.96/153.44	(step @p19 (= tptp.mequiv @t49) :rule refl :args (@t49))
152.96/153.44	(step @p20 (= tptp.mxor @t50) :rule refl :args (@t50))
152.96/153.44	(step @p21 (= tptp.mforall_ind @t53) :rule refl :args (@t53))
152.96/153.44	(step @p22 (= tptp.mforall_prop @t57) :rule refl :args (@t57))
152.96/153.44	(step @p23 (= tptp.mexists_ind @t58) :rule refl :args (@t58))
152.96/153.44	(step @p24 (= tptp.mexists_prop @t59) :rule refl :args (@t59))
152.96/153.44	(step @p25 (= tptp.mtrue @t61) :rule refl :args (@t61))
152.96/153.44	(step @p26 (= tptp.mbox @t71) :rule refl :args (@t71))
152.96/153.44	(step @p27 (= tptp.mdia @t72) :rule refl :args (@t72))
152.96/153.44	(step @p28 (= tptp.mreflexive @t77) :rule refl :args (@t77))
152.96/153.44	(step @p29 (= tptp.msymmetric @t81) :rule refl :args (@t81))
152.96/153.44	(step @p30 (= tptp.mserial @t83) :rule refl :args (@t83))
152.96/153.44	(step @p31 (= tptp.mtransitive @t88) :rule refl :args (@t88))
152.96/153.44	(step @p32 (= tptp.meuclidean @t90) :rule refl :args (@t90))
152.96/153.44	(step @p33 (= tptp.mpartially_functional @t92) :rule refl :args (@t92))
152.96/153.44	(step @p34 (= tptp.mfunctional @t94) :rule refl :args (@t94))
152.96/153.44	(step @p35 (= tptp.mweakly_dense @t97) :rule refl :args (@t97))
152.96/153.44	(step @p36 (= tptp.mweakly_connected @t98) :rule refl :args (@t98))
152.96/153.44	(step @p37 (= tptp.mweakly_directed @t99) :rule refl :args (@t99))
152.96/153.44	(step @p38 (= tptp.mvalid @t102) :rule refl :args (@t102))
152.96/153.44	(step @p39 (= tptp.minvalid @t103) :rule refl :args (@t103))
152.96/153.44	(step @p40 (= tptp.msatisfiable @t104) :rule refl :args (@t104))
152.96/153.44	(step @p41 (= tptp.mcountersatisfiable @t105) :rule refl :args (@t105))
152.96/153.44	(step @p42 (= tptp.dc @t107) :rule refl :args (@t107))
152.96/153.44	(step @p43 (= tptp.p @t113) :rule refl :args (@t113))
152.96/153.44	(step @p44 (= tptp.eq @t117) :rule refl :args (@t117))
152.96/153.44	(step @p45 (= tptp.o @t121) :rule refl :args (@t121))
152.96/153.44	(step @p46 (= tptp.po @t124) :rule refl :args (@t124))
152.96/153.44	(step @p47 (= tptp.ec @t127) :rule refl :args (@t127))
152.96/153.44	(step @p48 (= tptp.pp @t129) :rule refl :args (@t129))
152.96/153.44	(step @p49 (= tptp.tpp @t135) :rule refl :args (@t135))
152.96/153.44	(step @p50 (= tptp.ntpp @t136) :rule refl :args (@t136))
152.96/153.44	; WARNING: add trust step for TRUST
152.96/153.44	; trust TRUST PREPROCESS_HO_ELIM
152.96/153.44	(step @p51 :rule trust :premises () :args ((= (forall @t9 (or (not @t142) @t141)) (forall @t9 (or (not (_ @t139 @t140 @t6)) (_ @t139 (_ @t138 @t137 @t6) @t1))))))
152.96/153.44	(step @p52 :rule refl :args (@t141))
152.96/153.44	(step @p53 :rule refl :args (@t7))
152.96/153.44	(step @p54 :rule cong :premises (@p53 @p52) :args ((= @t7 @t141)))
152.96/153.44	(step @p55 :rule symm :premises (@p54))
152.96/153.44	(step @p56 :rule eq_resolve :premises (@p53 @p55))
152.96/153.44	(step @p57 :rule refl :args (@t142))
152.96/153.44	(step @p58 :rule refl :args (@t8))
152.96/153.44	(step @p59 :rule cong :premises (@p58 @p57) :args ((= @t8 @t142)))
152.96/153.44	(step @p60 :rule symm :premises (@p59))
152.96/153.44	(step @p61 :rule eq_resolve :premises (@p58 @p60))
152.96/153.44	(step @p62 :rule cong :premises (@p61) :args (@t106))
152.96/153.44	(step @p63 :rule nary_cong :premises (@p62 @p56) :args (@t143))
152.96/153.44	(step @p64 :rule cong :premises (@p63) :args ((forall @t9 @t143)))
152.96/153.44	(step @p65 :rule bool-impl-elim :args (@t8 @t7))
152.96/153.44	(step @p66 :rule cong :premises (@p65) :args (@t10))
152.96/153.44	(step @p67 :rule trans :premises (@p66 @p64))
152.96/153.44	(step @p68 :rule trans :premises (@p67 @p51))
152.96/153.44	(step @p69 :rule eq_resolve :premises (@p3 @p68))
152.96/153.44	(step @p70 :rule instantiate :premises (@p69) :args ((@list tptp.catalunya @t149)))
152.96/153.44	; trust TRUST PREPROCESS_HO_ELIM
152.96/153.44	(step @p71 :rule trust :premises () :args ((= (not (or @t176 @t166)) (not (or (not @t164) @t151)))))
152.96/153.44	(step @p72 :rule quant-merge-prenex :args ((= @t178 @t166)))
152.96/153.44	(step @p73 :rule refl :args (@t176))
152.96/153.44	(step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t179))
152.96/153.44	(step @p75 :rule quant-miniscope-or :args ((= (forall @t60 @t180) @t179)))
152.96/153.44	(step @p76 :rule trans :premises (@p75 @p74))
152.96/153.44	(step @p77 :rule beta-reduce :args ((= @t182 @t180)))
152.96/153.44	(step @p78 :rule cong :premises (@p77) :args (@t183))
152.96/153.44	(step @p79 :rule trans :premises (@p78 @p76))
152.96/153.44	(step @p80 :rule beta-reduce :args ((= (_ @t185 @t181) @t183)))
152.96/153.44	(step @p81 :rule trans :premises (@p80 @p79))
152.96/153.44	(step @p82 :rule quant-miniscope-or :args ((= (forall @t68 @t186) @t180)))
152.96/153.44	(step @p83 :rule aci_norm :args ((= @t187 @t186)))
152.96/153.44	(step @p84 :rule cong :premises (@p83) :args ((forall @t68 @t187)))
152.96/153.44	(step @p85 :rule trans :premises (@p84 @p82))
152.96/153.44	(step @p86 :rule beta-reduce :args ((= @t189 @t176)))
152.96/153.44	(step @p87 :rule refl :args (@t165))
152.96/153.44	(step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t190))
152.96/153.44	(step @p89 :rule cong :premises (@p88) :args (@t191))
152.96/153.44	(step @p90 :rule trans :premises (@p89 @p85))
152.96/153.44	(step @p91 :rule cong :premises (@p90) :args (@t192))
152.96/153.44	(step @p92 :rule beta-reduce :args ((= (_ @t194 @t188) @t192)))
152.96/153.44	(step @p93 :rule trans :premises (@p92 @p91))
152.96/153.44	(step @p94 :rule aci_norm :args ((= @t196 @t175)))
152.96/153.44	(step @p95 :rule cong :premises (@p94) :args (@t197))
152.96/153.44	(step @p96 :rule quant-merge-prenex :args ((= (forall @t17 @t198) @t197)))
152.96/153.44	(step @p97 :rule alpha_equiv :args (@t199 (@list @t159) @t201))
152.96/153.44	(step @p98 :rule quant-unused-vars :args ((= @t203 @t199)))
152.96/153.44	(step @p99 :rule trans :premises (@p98 @p97))
152.96/153.44	(step @p100 :rule alpha_equiv :args (@t204 (@list @t161) @t206))
152.96/153.44	(step @p101 :rule quant-unused-vars :args ((= @t207 @t204)))
152.96/153.44	(step @p102 :rule trans :premises (@p101 @p100))
152.96/153.44	(step @p103 :rule nary_cong :premises (@p102 @p99) :args (@t208))
152.96/153.44	(step @p104 :rule quant-miniscope-and :args ((= @t209 @t208)))
152.96/153.44	(step @p105 :rule trans :premises (@p104 @p103))
152.96/153.44	(step @p106 :rule alpha_equiv :args (@t210 (@list @t155) @t212))
152.96/153.44	(step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t213))
152.96/153.44	(step @p108 :rule quant-miniscope-or :args ((= @t198 @t213)))
152.96/153.44	(step @p109 :rule trans :premises (@p108 @p107))
152.96/153.44	(step @p110 :rule symm :premises (@p109))
152.96/153.44	(step @p111 :rule cong :premises (@p110) :args ((forall @t17 @t223)))
152.96/153.44	(step @p112 :rule trans :premises (@p111 @p96))
152.96/153.44	(step @p113 :rule trans :premises (@p112 @p95))
152.96/153.44	(step @p114 :rule aci_norm :args ((= (or @t222 @t222 @t218) @t223)))
152.96/153.44	(step @p115 :rule bool-double-not-elim :args (@t218))
152.96/153.44	(step @p116 :rule bool-double-not-elim :args (@t222))
152.96/153.44	(step @p117 :rule nary_cong :premises (@p116 @p116 @p115) :args (@t228))
152.96/153.44	(step @p118 :rule aci_norm :args ((= (or @t227 (or @t227 @t225)) @t228)))
152.96/153.44	(step @p119 :rule trans :premises (@p118 @p117))
152.96/153.44	(step @p120 :rule bool-and-de-morgan :args (@t226 @t224 true))
152.96/153.44	(step @p121 :rule refl :args (@t227))
152.96/153.44	(step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t227 (not (and @t226 @t224)))))
152.96/153.44	(step @p123 :rule bool-and-de-morgan :args (@t226 @t226 (and @t224)))
152.96/153.44	(step @p124 :rule trans :premises (@p123 @p122))
152.96/153.44	(step @p125 :rule trans :premises (@p124 @p119))
152.96/153.44	(step @p126 :rule trans :premises (@p125 @p114))
152.96/153.44	(step @p127 :rule cong :premises (@p126) :args (@t230))
152.96/153.44	(step @p128 :rule trans :premises (@p127 @p113))
152.96/153.44	(step @p129 :rule cong :premises (@p128) :args (@t231))
152.96/153.44	(step @p130 :rule exists-elim :args ((= (exists @t17 @t229) @t231)))
152.96/153.44	(step @p131 :rule trans :premises (@p130 @p129))
152.96/153.44	(step @p132 :rule beta-reduce :args ((= (_ @t233 @t6) @t218)))
152.96/153.44	(step @p133 :rule refl :args (@t6))
152.96/153.44	(step @p134 :rule beta-reduce :args ((= (_ (lambda @t9 (and (forall @t217 (or (not (tptp.c @t205 @t1)) @t216)) (forall @t215 (or @t214 (tptp.c @t200 @t1))))) @t13) @t233)))
152.96/153.44	(step @p135 :rule refl :args (@t13))
152.96/153.44	(step @p136 :rule alpha_equiv :args (@t237 @t238 @t201))
152.96/153.44	(step @p137 :rule alpha_equiv :args (@t240 @t238 @t206))
152.96/153.44	(step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t241))
152.96/153.44	(step @p139 :rule cong :premises (@p138) :args (@t242))
152.96/153.44	(step @p140 :rule ho_cong :premises (@p139 @p135))
152.96/153.44	(step @p141 :rule trans :premises (@p140 @p134))
152.96/153.44	(step @p142 :rule ho_cong :premises (@p141 @p133))
152.96/153.44	(step @p143 :rule trans :premises (@p142 @p132))
152.96/153.44	(step @p144 :rule cong :premises (@p143) :args (@t243))
152.96/153.44	(step @p145 :rule beta-reduce :args ((= (_ @t246 tptp.france) @t226)))
152.96/153.44	(step @p146 :rule refl :args (tptp.france))
152.96/153.44	(step @p147 :rule beta-reduce :args ((= (_ (lambda @t9 (not (forall @t221 (or (not (forall @t157 (or @t219 @t247))) @t245)))) @t13) @t246)))
152.96/153.44	(step @p148 :rule alpha_equiv :args (@t251 @t238 @t212))
152.96/153.44	(step @p149 :rule cong :premises (@p148) :args (@t252))
152.96/153.44	(step @p150 :rule cong :premises (@p149) :args (@t253))
152.96/153.44	(step @p151 :rule ho_cong :premises (@p150 @p135))
152.96/153.44	(step @p152 :rule trans :premises (@p151 @p147))
152.96/153.44	(step @p153 :rule ho_cong :premises (@p152 @p146))
152.96/153.44	(step @p154 :rule trans :premises (@p153 @p145))
152.96/153.44	(step @p155 :rule nary_cong :premises (@p154 @p154 @p144) :args (@t255))
152.96/153.44	(step @p156 :rule cong :premises (@p155) :args (@t256))
152.96/153.44	(step @p157 :rule trans :premises (@p156 @p131))
152.96/153.44	(step @p158 :rule cong :premises (@p157) :args (@t257))
152.96/153.44	(step @p159 :rule beta-reduce :args ((= @t259 @t194)))
152.96/153.44	(step @p160 :rule ho_cong :premises (@p159 @p158))
152.96/153.44	(step @p161 :rule trans :premises (@p160 @p93))
152.96/153.44	(step @p162 :rule refl :args (@t185))
152.96/153.44	(step @p163 :rule ho_cong :premises (@p162 @p161))
152.96/153.44	(step @p164 :rule trans :premises (@p163 @p81))
152.96/153.44	(step @p165 :rule cong :premises (@p164) :args ((not (_ @t185 (_ @t259 @t257)))))
152.96/153.44	(step @p166 :rule refl :args (@t13))
152.96/153.44	(step @p167 :rule beta-reduce :args ((= (_ @t262 @t1) @t237)))
152.96/153.44	(step @p168 :rule refl :args (@t1))
152.96/153.44	(step @p169 :rule beta-reduce :args ((= (_ (lambda (@list @t1 @t260) (forall @t111 (or @t239 @t261))) @t6) @t262)))
152.96/153.44	(step @p170 :rule refl :args (@t6))
152.96/153.44	(step @p171 :rule alpha_equiv :args (@t263 (@list @t6) (@list @t260)))
152.96/153.44	(step @p172 :rule ho_cong :premises (@p171 @p170))
152.96/153.44	(step @p173 :rule trans :premises (@p172 @p169))
152.96/153.44	(step @p174 :rule ho_cong :premises (@p173 @p168))
152.96/153.44	(step @p175 :rule trans :premises (@p174 @p167))
152.96/153.44	(step @p176 :rule beta-reduce :args ((= (_ @t264 @t6) @t240)))
152.96/153.44	(step @p177 :rule beta-reduce :args ((= @t265 @t264)))
152.96/153.44	(step @p178 :rule ho_cong :premises (@p177 @p133))
152.96/153.44	(step @p179 :rule trans :premises (@p178 @p176))
152.96/153.44	(step @p180 :rule nary_cong :premises (@p179 @p175) :args ((and @t267 @t266)))
152.96/153.44	(step @p181 :rule refl :args (@t235))
152.96/153.44	(step @p182 :rule refl :args (@t109))
152.96/153.44	(step @p183 :rule cong :premises (@p182 @p181) :args ((= @t109 @t235)))
152.96/153.44	(step @p184 :rule symm :premises (@p183))
152.96/153.44	(step @p185 :rule eq_resolve :premises (@p182 @p184))
152.96/153.44	(step @p186 :rule refl :args (@t234))
152.96/153.44	(step @p187 :rule refl :args (@t110))
152.96/153.44	(step @p188 :rule cong :premises (@p187 @p186) :args ((= @t110 @t234)))
152.96/153.44	(step @p189 :rule symm :premises (@p188))
152.96/153.44	(step @p190 :rule eq_resolve :premises (@p187 @p189))
152.96/153.44	(step @p191 :rule cong :premises (@p190) :args (@t268))
152.96/153.44	(step @p192 :rule nary_cong :premises (@p191 @p185) :args (@t269))
152.96/153.44	(step @p193 :rule cong :premises (@p192) :args ((forall @t111 @t269)))
152.96/153.44	(step @p194 :rule bool-impl-elim :args (@t110 @t109))
152.96/153.44	(step @p195 :rule cong :premises (@p194) :args (@t112))
152.96/153.44	(step @p196 :rule trans :premises (@p195 @p193))
152.96/153.44	(step @p197 :rule cong :premises (@p196) :args (@t113))
152.96/153.44	(step @p198 :rule trans :premises (@p43 @p197))
152.96/153.44	(step @p199 :rule ho_cong :premises (@p198 @p133))
152.96/153.44	(step @p200 :rule ho_cong :premises (@p199 @p168))
152.96/153.44	(step @p201 :rule ho_cong :premises (@p198 @p168))
152.96/153.44	(step @p202 :rule ho_cong :premises (@p201 @p133))
152.96/153.44	(step @p203 :rule nary_cong :premises (@p202 @p200) :args (@t116))
152.96/153.44	(step @p204 :rule trans :premises (@p203 @p180))
152.96/153.44	(step @p205 :rule cong :premises (@p204) :args (@t117))
152.96/153.44	(step @p206 :rule trans :premises (@p44 @p205))
152.96/153.44	(step @p207 :rule ho_cong :premises (@p206 @p166))
152.96/153.44	(step @p208 :rule ho_cong :premises (@p207 @p133))
152.96/153.44	(step @p209 :rule cong :premises (@p208) :args (@t14))
152.96/153.44	(step @p210 :rule bool-and-de-morgan :args (@t250 @t249 true))
152.96/153.44	(step @p211 :rule cong :premises (@p210) :args (@t271))
152.96/153.44	(step @p212 :rule cong :premises (@p211) :args (@t272))
152.96/153.44	(step @p213 :rule exists-elim :args ((= (exists @t111 @t270) @t272)))
152.96/153.44	(step @p214 :rule trans :premises (@p213 @p212))
152.96/153.44	(step @p215 :rule beta-reduce :args ((= (_ @t273 @t6) @t249)))
152.96/153.44	(step @p216 :rule beta-reduce :args ((= (_ (lambda @t9 (forall @t157 (or (not @t247) @t244))) @t13) @t273)))
152.96/153.44	(step @p217 :rule alpha_equiv :args (@t240 @t238 (@list @t152)))
152.96/153.44	(step @p218 :rule cong :premises (@p217) :args (@t263))
152.96/153.44	(step @p219 :rule ho_cong :premises (@p218 @p135))
152.96/153.44	(step @p220 :rule trans :premises (@p219 @p216))
152.96/153.44	(step @p221 :rule ho_cong :premises (@p220 @p133))
152.96/153.44	(step @p222 :rule trans :premises (@p221 @p215))
152.96/153.44	(step @p223 :rule beta-reduce :args ((= (_ @t273 @t1) @t250)))
152.96/153.44	(step @p224 :rule ho_cong :premises (@p220 @p168))
152.96/153.44	(step @p225 :rule trans :premises (@p224 @p223))
152.96/153.44	(step @p226 :rule nary_cong :premises (@p225 @p222) :args (@t275))
152.96/153.44	(step @p227 :rule cong :premises (@p226) :args ((exists @t111 @t275)))
152.96/153.44	(step @p228 :rule trans :premises (@p227 @p214))
152.96/153.44	(step @p229 :rule ho_cong :premises (@p198 @p166))
152.96/153.44	(step @p230 :rule ho_cong :premises (@p229 @p133))
152.96/153.44	(step @p231 :rule ho_cong :premises (@p229 @p168))
152.96/153.44	(step @p232 :rule nary_cong :premises (@p231 @p230) :args (@t119))
152.96/153.44	(step @p233 :rule cong :premises (@p232) :args (@t120))
152.96/153.44	(step @p234 :rule trans :premises (@p233 @p228))
152.96/153.44	(step @p235 :rule cong :premises (@p234) :args (@t121))
152.96/153.44	(step @p236 :rule trans :premises (@p45 @p235))
152.96/153.44	(step @p237 :rule ho_cong :premises (@p236 @p166))
152.96/153.44	(step @p238 :rule ho_cong :premises (@p237 @p146))
152.96/153.44	(step @p239 :rule nary_cong :premises (@p238 @p238 @p209) :args (@t16))
152.96/153.44	(step @p240 :rule cong :premises (@p239) :args (@t18))
152.96/153.44	(step @p241 :rule cong :premises (@p240) :args (@t19))
152.96/153.44	(step @p242 :rule refl :args (tptp.a))
152.96/153.44	(step @p243 :rule refl :args (@t193))
152.96/153.44	(step @p244 :rule refl :args (@t63))
152.96/153.44	(step @p245 :rule cong :premises (@p244 @p243) :args ((= @t63 @t193)))
152.96/153.44	(step @p246 :rule symm :premises (@p245))
152.96/153.44	(step @p247 :rule eq_resolve :premises (@p244 @p246))
152.96/153.44	(step @p248 :rule refl :args (@t258))
152.96/153.44	(step @p249 :rule refl :args (@t65))
152.96/153.44	(step @p250 :rule cong :premises (@p249 @p248) :args ((= @t65 @t258)))
152.96/153.44	(step @p251 :rule symm :premises (@p250))
152.96/153.44	(step @p252 :rule eq_resolve :premises (@p249 @p251))
152.96/153.44	(step @p253 :rule cong :premises (@p252) :args (@t66))
152.96/153.44	(step @p254 :rule nary_cong :premises (@p253 @p247) :args (@t67))
152.96/153.44	(step @p255 :rule cong :premises (@p254) :args (@t69))
152.96/153.44	(step @p256 :rule cong :premises (@p255) :args (@t71))
152.96/153.44	(step @p257 :rule trans :premises (@p26 @p256))
152.96/153.44	(step @p258 :rule ho_cong :premises (@p257 @p242))
152.96/153.44	(step @p259 :rule ho_cong :premises (@p258 @p241))
152.96/153.44	(step @p260 :rule refl :args (@t184))
152.96/153.44	(step @p261 :rule refl :args (@t36))
152.96/153.44	(step @p262 :rule cong :premises (@p261 @p260) :args ((= @t36 @t184)))
152.96/153.44	(step @p263 :rule symm :premises (@p262))
152.96/153.44	(step @p264 :rule eq_resolve :premises (@p261 @p263))
152.96/153.44	(step @p265 :rule cong :premises (@p264) :args (@t100))
152.96/153.44	(step @p266 :rule cong :premises (@p265) :args (@t102))
152.96/153.44	(step @p267 :rule trans :premises (@p38 @p266))
152.96/153.44	(step @p268 :rule ho_cong :premises (@p267 @p259))
152.96/153.44	(step @p269 :rule cong :premises (@p268) :args (@t21))
152.96/153.44	(step @p270 :rule trans :premises (@p269 @p165))
152.96/153.44	(step @p271 :rule trans :premises (@p270 @p71))
152.96/153.44	(step @p272 :rule eq_resolve :premises (@p5 @p271))
152.96/153.44	(step @p273 :rule not_or_elim :premises (@p272) :args (1))
152.96/153.44	; trust TRUST PREPROCESS_HO_ELIM
152.96/153.44	(step @p274 :rule trust :premises () :args ((= (or @t290 @t166) (or @t282 @t151))))
152.96/153.44	(step @p275 :rule refl :args (@t290))
152.96/153.44	(step @p276 :rule nary_cong :premises (@p275 @p72) :args (@t291))
152.96/153.44	(step @p277 :rule quant-miniscope-or :args ((= (forall @t60 @t292) @t291)))
152.96/153.44	(step @p278 :rule trans :premises (@p277 @p276))
152.96/153.44	(step @p279 :rule beta-reduce :args ((= @t294 @t292)))
152.96/153.44	(step @p280 :rule cong :premises (@p279) :args (@t295))
152.96/153.44	(step @p281 :rule trans :premises (@p280 @p278))
152.96/153.44	(step @p282 :rule beta-reduce :args ((= (_ @t185 @t293) @t295)))
152.96/153.44	(step @p283 :rule trans :premises (@p282 @p281))
152.96/153.44	(step @p284 :rule quant-miniscope-or :args ((= (forall @t68 @t296) @t292)))
152.96/153.44	(step @p285 :rule aci_norm :args ((= @t297 @t296)))
152.96/153.44	(step @p286 :rule cong :premises (@p285) :args ((forall @t68 @t297)))
152.96/153.44	(step @p287 :rule trans :premises (@p286 @p284))
152.96/153.44	(step @p288 :rule beta-reduce :args ((= @t299 @t290)))
152.96/153.44	(step @p289 :rule nary_cong :premises (@p87 @p288) :args (@t300))
152.96/153.44	(step @p290 :rule cong :premises (@p289) :args (@t301))
152.96/153.44	(step @p291 :rule trans :premises (@p290 @p287))
152.96/153.44	(step @p292 :rule cong :premises (@p291) :args (@t302))
152.96/153.44	(step @p293 :rule beta-reduce :args ((= (_ @t194 @t298) @t302)))
152.96/153.44	(step @p294 :rule trans :premises (@p293 @p292))
152.96/153.44	(step @p295 :rule beta-reduce :args ((= (_ @t306 tptp.spain) @t290)))
152.96/153.44	(step @p296 :rule refl :args (tptp.spain))
152.96/153.44	(step @p297 :rule beta-reduce :args ((= @t313 @t306)))
152.96/153.44	(step @p298 :rule ho_cong :premises (@p297 @p296))
152.96/153.44	(step @p299 :rule trans :premises (@p298 @p295))
152.96/153.44	(step @p300 :rule cong :premises (@p299) :args ((lambda @t11 (_ @t313 tptp.spain))))
152.96/153.44	(step @p301 :rule ho_cong :premises (@p159 @p300))
152.96/153.44	(step @p302 :rule trans :premises (@p301 @p294))
152.96/153.44	(step @p303 :rule ho_cong :premises (@p162 @p302))
152.96/153.44	(step @p304 :rule trans :premises (@p303 @p283))
152.96/153.44	(step @p305 :rule refl :args (tptp.catalunya))
152.96/153.44	(step @p306 :rule aci_norm :args ((= (and @t314 @t311) @t312)))
152.96/153.44	(step @p307 :rule refl :args (@t305))
152.96/153.44	(step @p308 :rule cong :premises (@p185) :args (@t315))
152.96/153.44	(step @p309 :rule refl :args (@t310))
152.96/153.44	(step @p310 :rule nary_cong :premises (@p191 @p309 @p308 @p307) :args (@t316))
152.96/153.44	(step @p311 :rule cong :premises (@p310) :args ((forall @t111 @t316)))
152.96/153.44	(step @p312 :rule aci_norm :args ((= (or @t268 (or @t310 (or @t315 @t305))) @t316)))
152.96/153.44	(step @p313 :rule bool-and-de-morgan :args (@t109 @t304 true))
152.96/153.44	(step @p314 :rule nary_cong :premises (@p309 @p313) :args ((or @t310 (not @t317))))
152.96/153.44	(step @p315 :rule bool-and-de-morgan :args (@t309 @t109 (and @t304)))
152.96/153.44	(step @p316 :rule trans :premises (@p315 @p314))
152.96/153.44	(step @p317 :rule refl :args (@t268))
152.96/153.44	(step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or @t268 (not (and @t309 @t109 @t304)))))
152.96/153.44	(step @p319 :rule bool-and-de-morgan :args (@t110 @t309 (and @t109 @t304)))
152.96/153.44	(step @p320 :rule trans :premises (@p319 @p318))
152.96/153.44	(step @p321 :rule trans :premises (@p320 @p312))
152.96/153.44	(step @p322 :rule cong :premises (@p321) :args (@t319))
152.96/153.44	(step @p323 :rule trans :premises (@p322 @p311))
152.96/153.44	(step @p324 :rule cong :premises (@p323) :args (@t320))
152.96/153.44	(step @p325 :rule exists-elim :args ((= (exists @t111 @t318) @t320)))
152.96/153.44	(step @p326 :rule trans :premises (@p325 @p324))
152.96/153.44	(step @p327 :rule aci_norm :args ((= (and @t321 @t317) @t318)))
152.96/153.44	(step @p328 :rule beta-reduce :args ((= (_ @t322 @t6) @t317)))
152.96/153.44	(step @p329 :rule beta-reduce :args ((= (_ (lambda @t9 (and @t8 (forall @t281 (or @t308 @t303)))) @t13) @t322)))
152.96/153.44	(step @p330 :rule alpha_equiv :args (@t251 @t238 (@list @t278)))
152.96/153.44	(step @p331 :rule nary_cong :premises (@p58 @p330) :args (@t323))
152.96/153.44	(step @p332 :rule cong :premises (@p331) :args (@t324))
152.96/153.44	(step @p333 :rule ho_cong :premises (@p332 @p135))
152.96/153.44	(step @p334 :rule trans :premises (@p333 @p329))
152.96/153.44	(step @p335 :rule ho_cong :premises (@p334 @p133))
152.96/153.44	(step @p336 :rule trans :premises (@p335 @p328))
152.96/153.44	(step @p337 :rule beta-reduce :args ((= (_ @t322 @t1) @t321)))
152.96/153.44	(step @p338 :rule ho_cong :premises (@p334 @p168))
152.96/153.44	(step @p339 :rule trans :premises (@p338 @p337))
152.96/153.44	(step @p340 :rule nary_cong :premises (@p339 @p336) :args (@t326))
152.96/153.44	(step @p341 :rule trans :premises (@p340 @p327))
152.96/153.44	(step @p342 :rule cong :premises (@p341) :args (@t327))
152.96/153.44	(step @p343 :rule trans :premises (@p342 @p326))
152.96/153.44	(step @p344 :rule beta-reduce :args ((= (_ @t328 @t6) @t314)))
152.96/153.44	(step @p345 :rule beta-reduce :args ((= @t329 @t328)))
152.96/153.44	(step @p346 :rule ho_cong :premises (@p345 @p133))
152.96/153.44	(step @p347 :rule trans :premises (@p346 @p344))
152.96/153.44	(step @p348 :rule nary_cong :premises (@p347 @p343) :args ((and (_ @t329 @t6) @t327)))
152.96/153.44	(step @p349 :rule trans :premises (@p348 @p306))
152.96/153.44	(step @p350 :rule bool-double-not-elim :args (@t251))
152.96/153.44	(step @p351 :rule beta-reduce :args ((= (_ @t330 @t6) @t252)))
152.96/153.44	(step @p352 :rule beta-reduce :args ((= @t331 @t330)))
152.96/153.44	(step @p353 :rule ho_cong :premises (@p352 @p133))
152.96/153.44	(step @p354 :rule trans :premises (@p353 @p351))
152.96/153.44	(step @p355 :rule cong :premises (@p354) :args (@t332))
152.96/153.44	(step @p356 :rule trans :premises (@p355 @p350))
152.96/153.44	(step @p357 :rule refl :args (@t8))
152.96/153.44	(step @p358 :rule nary_cong :premises (@p357 @p356) :args ((and @t8 @t332)))
152.96/153.44	(step @p359 :rule ho_cong :premises (@p236 @p168))
152.96/153.44	(step @p360 :rule ho_cong :premises (@p359 @p133))
152.96/153.44	(step @p361 :rule cong :premises (@p360) :args (@t125))
152.96/153.44	(step @p362 :rule nary_cong :premises (@p357 @p361) :args (@t126))
152.96/153.44	(step @p363 :rule trans :premises (@p362 @p358))
152.96/153.44	(step @p364 :rule cong :premises (@p363) :args (@t127))
152.96/153.44	(step @p365 :rule trans :premises (@p47 @p364))
152.96/153.44	(step @p366 :rule ho_cong :premises (@p365 @p166))
152.96/153.44	(step @p367 :rule ho_cong :premises (@p366 @p133))
152.96/153.44	(step @p368 :rule ho_cong :premises (@p366 @p168))
152.96/153.44	(step @p369 :rule nary_cong :premises (@p368 @p367) :args (@t131))
152.96/153.44	(step @p370 :rule cong :premises (@p369) :args (@t132))
152.96/153.44	(step @p371 :rule cong :premises (@p175) :args (@t333))
152.96/153.44	(step @p372 :rule nary_cong :premises (@p179 @p371) :args ((and @t267 @t333)))
152.96/153.44	(step @p373 :rule cong :premises (@p200) :args (@t122))
152.96/153.44	(step @p374 :rule nary_cong :premises (@p202 @p373) :args (@t128))
152.96/153.44	(step @p375 :rule trans :premises (@p374 @p372))
152.96/153.44	(step @p376 :rule cong :premises (@p375) :args (@t129))
152.96/153.44	(step @p377 :rule trans :premises (@p48 @p376))
152.96/153.44	(step @p378 :rule ho_cong :premises (@p377 @p168))
152.96/153.44	(step @p379 :rule ho_cong :premises (@p378 @p133))
152.96/153.44	(step @p380 :rule nary_cong :premises (@p379 @p370) :args (@t134))
152.96/153.44	(step @p381 :rule trans :premises (@p380 @p349))
152.96/153.44	(step @p382 :rule cong :premises (@p381) :args (@t135))
152.96/153.44	(step @p383 :rule trans :premises (@p49 @p382))
152.96/153.44	(step @p384 :rule ho_cong :premises (@p383 @p305))
152.96/153.44	(step @p385 :rule ho_cong :premises (@p384 @p296))
152.96/153.44	(step @p386 :rule cong :premises (@p385) :args (@t28))
152.96/153.44	(step @p387 :rule ho_cong :premises (@p258 @p386))
152.96/153.44	(step @p388 :rule ho_cong :premises (@p267 @p387))
152.96/153.44	(step @p389 :rule trans :premises (@p388 @p304))
152.96/153.44	(step @p390 :rule trans :premises (@p389 @p274))
152.96/153.44	(step @p391 :rule eq_resolve :premises (@p10 @p390))
152.96/153.44	(step @p392 :rule reordering :premises (@p391) :args ((or @t151 @t282)))
152.96/153.44	(step @p393 :rule chain_resolution :premises (@p392 @p273) :args (@t334 (@list @t151)))
152.96/153.44	(step @p394 :rule cnf_and_pos :args (@t282 2))
152.96/153.44	(step @p395 :rule reordering :premises (@p394) :args ((or @t276 (not @t282))))
152.96/153.44	(step @p396 :rule chain_resolution :premises (@p395 @p393) :args (@t335 (@list @t282)))
152.96/153.44	(step @p397 :rule skolemize :premises (@p396))
152.96/153.44	(step @p398 :rule cnf_or_neg :args (@t338 1))
152.96/153.44	(step @p399 :rule chain_resolution :premises (@p398 @p397) :args (@t334 (@list @t338)))
152.96/153.44	(step @p400 :rule cnf_or_pos :args (@t342))
152.96/153.44	(step @p401 :rule reordering :premises (@p400) :args ((or @t337 @t341 (not @t342))))
152.96/153.44	(step @p402 :rule chain_resolution :premises (@p401 @p399 @p70) :args ((@list true false) (@list @t337 @t342)))
152.96/153.44	(step @p403 :rule not_or_elim :premises (@p272) :args (0))
152.96/153.44	(step @p404 :rule not_not_elim :premises (@p403))
152.96/153.44	(step @p405 :rule aci_norm :args ((= (or @t346 false false) @t346)))
152.96/153.44	(step @p406 :rule evaluate :args ((not true)))
152.96/153.44	(step @p407 :rule quant-unused-vars :args ((= (forall @t157 true) true)))
152.96/153.44	(step @p408 :rule bool-or-taut2 :args (false @t154 false false))
152.96/153.44	(step @p409 :rule cong :premises (@p408) :args (@t347))
152.96/153.44	(step @p410 :rule trans :premises (@p409 @p407))
152.96/153.44	(step @p411 :rule cong :premises (@p410) :args (@t348))
152.96/153.44	(step @p412 :rule trans :premises (@p411 @p406))
152.96/153.44	(step @p413 :rule refl :args (@t346))
152.96/153.44	(step @p414 :rule nary_cong :premises (@p413 @p412 @p412) :args (@t349))
152.96/153.44	(step @p415 :rule trans :premises (@p414 @p405))
152.96/153.44	(step @p416 :rule refl :args (@t164))
152.96/153.44	(step @p417 :rule cong :premises (@p416 @p415) :args ((=> @t164 @t349)))
152.96/153.44	(assume-push @p459 @t164)
152.96/153.44	(step @p419 :rule instantiate :premises (@p404) :args ((@list tptp.france @t149 tptp.france tptp.catalunya tptp.catalunya)))
152.96/153.44	(step-pop @p459 :rule scope :premises (@p419))
152.96/153.44	(step @p420 :rule process_scope :premises (@p459) :args (@t349))
152.96/153.44	(step @p422 :rule eq_resolve :premises (@p420 @p417))
152.96/153.44	(step @p423 :rule implies_elim :premises (@p422))
152.96/153.44	(step @p424 :rule chain_resolution :premises (@p423 @p404) :args (@t335 @t350))
152.96/153.44	(step @p425 :rule cnf_and_pos :args (@t346 0))
152.96/153.44	(step @p426 :rule reordering :premises (@p425) :args ((or @t345 (not @t346))))
152.96/153.44	(step @p427 :rule chain_resolution :premises (@p426 @p424) :args (@t335 (@list @t346)))
152.96/153.44	(step @p428 :rule aci_norm :args ((= (or @t354 false false) @t354)))
152.96/153.44	(step @p429 :rule refl :args (@t354))
152.96/153.44	(step @p430 :rule nary_cong :premises (@p429 @p412 @p412) :args (@t355))
152.96/153.44	(step @p431 :rule trans :premises (@p430 @p428))
152.96/153.44	(step @p432 :rule cong :premises (@p416 @p431) :args ((=> @t164 @t355)))
152.96/153.44	(assume-push @p461 @t164)
152.96/153.44	(step @p434 :rule instantiate :premises (@p404) :args ((@list tptp.france tptp.catalunya tptp.france tptp.catalunya tptp.catalunya)))
152.96/153.44	(step-pop @p461 :rule scope :premises (@p434))
152.96/153.44	(step @p435 :rule process_scope :premises (@p461) :args (@t355))
152.96/153.44	(step @p437 :rule eq_resolve :premises (@p435 @p432))
152.96/153.44	(step @p438 :rule implies_elim :premises (@p437))
152.96/153.44	(step @p439 :rule chain_resolution :premises (@p438 @p404) :args (@t335 @t350))
152.96/153.44	(step @p440 :rule cnf_and_pos :args (@t354 1))
152.96/153.44	(step @p441 :rule reordering :premises (@p440) :args ((or @t353 (not @t354))))
152.96/153.44	(step @p442 :rule chain_resolution :premises (@p441 @p439) :args (@t335 (@list @t354)))
152.96/153.44	; trust TRUST PREPROCESS_HO_ELIM
152.96/153.44	(step @p443 :rule trust :premises () :args ((= (forall @t4 @t356) (forall @t4 (_ @t139 @t140 @t1)))))
152.96/153.44	(step @p444 :rule refl :args (@t356))
152.96/153.44	(step @p445 :rule refl :args (@t3))
152.96/153.44	(step @p446 :rule cong :premises (@p445 @p444) :args ((= @t3 @t356)))
152.96/153.44	(step @p447 :rule symm :premises (@p446))
152.96/153.44	(step @p448 :rule eq_resolve :premises (@p445 @p447))
152.96/153.44	(step @p449 :rule cong :premises (@p448) :args (@t5))
152.96/153.44	(step @p450 :rule trans :premises (@p449 @p443))
152.96/153.44	(step @p451 :rule eq_resolve :premises (@p2 @p450))
152.96/153.44	(step @p452 :rule instantiate :premises (@p451) :args ((@list tptp.catalunya)))
152.96/153.44	(step @p453 :rule cnf_or_pos :args (@t353))
152.96/153.44	(step @p454 :rule reordering :premises (@p453) :args ((or @t352 @t343 (not @t353))))
152.96/153.44	(step @p455 :rule chain_resolution :premises (@p454 @p452 @p442) :args ((@list false false) (@list @t351 @t353)))
152.96/153.44	(step @p456 :rule cnf_or_pos :args (@t345))
152.96/153.44	(step @p457 :rule reordering :premises (@p456) :args ((or @t340 @t344 (not @t345))))
152.96/153.44	(step @p458 false :rule chain_resolution :premises (@p457 @p455 @p427 @p402) :args ((@list false false true) (@list @t343 @t345 @t340)))
152.96/153.44	)
152.96/153.44	% SZS output end Proof
152.96/153.44	% cvc5 exiting
152.96/153.45	EOF