%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV107^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:00:32 AM UTC 2026 % Result : Theorem 1.62s 1.80s % Output : Proof 1.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV107^7 : TPTP v9.2.1. Released v5.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n010.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:54:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.40/0.63 %----Proving TH0 % 1.62/1.80 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.62/1.80 % SZS status Theorem % 1.62/1.80 % SZS output start Proof % 1.62/1.80 ( % 1.62/1.80 (declare-sort tptp.mu 0) % 1.62/1.80 (declare-sort $$unsorted 0) % 1.62/1.80 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.true (-> $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.lt (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.leq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.gt (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.qmltpeq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.succ (-> tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.n2 tptp.mu) % 1.62/1.80 (declare-const tptp.n1 tptp.mu) % 1.62/1.80 (declare-const tptp.trans (-> tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.n3 tptp.mu) % 1.62/1.80 (declare-const tptp.tptp_msub (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.inv (-> tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.sum (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.pred (-> tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.n4 tptp.mu) % 1.62/1.80 (declare-const tptp.tptp_const_array2 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.tptp_float_0_0 tptp.mu) % 1.62/1.80 (declare-const tptp.tptp_update3 (-> tptp.mu tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.dim (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.n999 tptp.mu) % 1.62/1.80 (declare-const tptp.plus (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.n0 tptp.mu) % 1.62/1.80 (declare-const tptp.tptp_update2 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.a_select3 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.tptp_mmul (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.a_select2 (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.geq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.tptp_madd (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.use tptp.mu) % 1.62/1.80 (declare-const tptp.uniform_int_rnd (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.def tptp.mu) % 1.62/1.80 (declare-const tptp.minus (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.tptp_const_array1 (-> tptp.mu tptp.mu tptp.mu)) % 1.62/1.80 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 1.62/1.80 (declare-const tptp.tptp_minus_1 tptp.mu) % 1.62/1.80 (declare-const tptp.n5 tptp.mu) % 1.62/1.80 (declare-const tptp.n6 tptp.mu) % 1.62/1.80 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 1.62/1.80 (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)))))) % 1.62/1.80 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.62/1.80 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 1.62/1.80 (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))))))) % 1.62/1.80 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 1.62/1.80 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.62/1.80 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 1.62/1.80 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.62/1.80 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 1.62/1.80 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.62/1.80 (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)))))) % 1.62/1.80 (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) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.62/1.80 (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)))))) % 1.62/1.80 (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)))))) % 1.62/1.80 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 1.62/1.80 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.62/1.80 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.62/1.80 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 1.62/1.80 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 1.62/1.80 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 1.62/1.80 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 1.62/1.80 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 1.62/1.80 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 1.62/1.80 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 1.62/1.80 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 1.62/1.80 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 1.62/1.80 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.62/1.80 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.62/1.80 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1)))))))) % 1.62/1.80 (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1))))) % 1.62/1.80 (define @t1 () (@var "V" $$unsorted)) % 1.62/1.80 (define @t2 () (@var "X" tptp.mu)) % 1.62/1.80 (define @t3 () (_ tptp.exists_in_world @t2)) % 1.62/1.80 (define @t4 () (_ @t3 @t1)) % 1.62/1.80 (define @t5 () (@list @t2)) % 1.62/1.80 (define @t6 () (@list @t1)) % 1.62/1.80 (define @t7 () (@var "W" $$unsorted)) % 1.62/1.80 (define @t8 () (_ @t3 @t7)) % 1.62/1.80 (define @t9 () (@var "V1" tptp.mu)) % 1.62/1.80 (define @t10 () (@var "V2" tptp.mu)) % 1.62/1.80 (define @t11 () (@list @t1 @t10 @t9)) % 1.62/1.80 (define @t12 () (@var "V3" tptp.mu)) % 1.62/1.80 (define @t13 () (@list @t1 @t12 @t10 @t9)) % 1.62/1.80 (define @t14 () (@list @t1 @t9)) % 1.62/1.80 (define @t15 () (@var "V4" tptp.mu)) % 1.62/1.80 (define @t16 () (@var "__flatten_var_0" $$unsorted)) % 1.62/1.80 (define @t17 () (_ tptp.qmltpeq @t2)) % 1.62/1.80 (define @t18 () (@list @t2 @t16)) % 1.62/1.80 (define @t19 () (@var "Y" tptp.mu)) % 1.62/1.80 (define @t20 () (_ tptp.qmltpeq @t19)) % 1.62/1.80 (define @t21 () (_ tptp.mbox_s4 (_ @t17 @t19))) % 1.62/1.80 (define @t22 () (@list @t19 @t16)) % 1.62/1.80 (define @t23 () (@var "Z" tptp.mu)) % 1.62/1.80 (define @t24 () (@list @t23 @t16)) % 1.62/1.80 (define @t25 () (@var "C" tptp.mu)) % 1.62/1.80 (define @t26 () (@var "B" tptp.mu)) % 1.62/1.80 (define @t27 () (@var "A" tptp.mu)) % 1.62/1.80 (define @t28 () (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t27) @t26))) % 1.62/1.80 (define @t29 () (_ tptp.mimplies @t28)) % 1.62/1.80 (define @t30 () (@list @t25 @t16)) % 1.62/1.80 (define @t31 () (@list @t26 @t16)) % 1.62/1.80 (define @t32 () (@list @t27 @t16)) % 1.62/1.80 (define @t33 () (_ tptp.a_select2 @t25)) % 1.62/1.80 (define @t34 () (@var "D" tptp.mu)) % 1.62/1.80 (define @t35 () (_ tptp.a_select3 @t26)) % 1.62/1.80 (define @t36 () (_ tptp.a_select3 @t27)) % 1.62/1.80 (define @t37 () (@list @t34 @t16)) % 1.62/1.80 (define @t38 () (_ tptp.a_select3 @t25)) % 1.62/1.80 (define @t39 () (_ @t38 @t34)) % 1.62/1.80 (define @t40 () (_ tptp.dim @t25)) % 1.62/1.80 (define @t41 () (_ tptp.inv @t27)) % 1.62/1.80 (define @t42 () (_ tptp.minus @t25)) % 1.62/1.80 (define @t43 () (_ tptp.plus @t25)) % 1.62/1.80 (define @t44 () (_ tptp.sum @t25)) % 1.62/1.80 (define @t45 () (_ @t44 @t34)) % 1.62/1.80 (define @t46 () (_ tptp.tptp_const_array1 @t25)) % 1.62/1.80 (define @t47 () (_ tptp.tptp_const_array2 @t25)) % 1.62/1.80 (define @t48 () (_ @t47 @t34)) % 1.62/1.80 (define @t49 () (_ tptp.tptp_madd @t27)) % 1.62/1.80 (define @t50 () (_ tptp.tptp_madd @t25)) % 1.62/1.80 (define @t51 () (_ tptp.tptp_mmul @t26)) % 1.62/1.80 (define @t52 () (_ tptp.tptp_mmul @t27)) % 1.62/1.80 (define @t53 () (_ tptp.tptp_mmul @t25)) % 1.62/1.80 (define @t54 () (_ tptp.tptp_msub @t27)) % 1.62/1.80 (define @t55 () (_ tptp.tptp_msub @t25)) % 1.62/1.80 (define @t56 () (_ tptp.tptp_update2 @t25)) % 1.62/1.80 (define @t57 () (_ @t56 @t34)) % 1.62/1.80 (define @t58 () (@var "E" tptp.mu)) % 1.62/1.80 (define @t59 () (_ tptp.tptp_update3 @t27)) % 1.62/1.80 (define @t60 () (@list @t58 @t16)) % 1.62/1.80 (define @t61 () (_ tptp.tptp_update3 @t25)) % 1.62/1.80 (define @t62 () (_ @t61 @t34)) % 1.62/1.80 (define @t63 () (_ @t62 @t58)) % 1.62/1.80 (define @t64 () (_ tptp.trans @t26)) % 1.62/1.80 (define @t65 () (_ tptp.trans @t27)) % 1.62/1.80 (define @t66 () (_ tptp.uniform_int_rnd @t25)) % 1.62/1.80 (define @t67 () (_ tptp.mand @t28)) % 1.62/1.80 (define @t68 () (_ tptp.geq @t25)) % 1.62/1.80 (define @t69 () (_ tptp.gt @t25)) % 1.62/1.80 (define @t70 () (_ tptp.leq @t25)) % 1.62/1.80 (define @t71 () (_ tptp.lt @t25)) % 1.62/1.80 (define @t72 () (_ tptp.gt @t19)) % 1.62/1.80 (define @t73 () (_ tptp.mbox_s4 (_ @t72 @t2))) % 1.62/1.80 (define @t74 () (_ tptp.gt @t2)) % 1.62/1.80 (define @t75 () (_ tptp.mbox_s4 (_ @t74 @t19))) % 1.62/1.80 (define @t76 () (_ tptp.leq @t2)) % 1.62/1.80 (define @t77 () (_ tptp.leq @t19)) % 1.62/1.80 (define @t78 () (_ tptp.mbox_s4 (_ @t76 @t19))) % 1.62/1.80 (define @t79 () (_ tptp.mand @t78)) % 1.62/1.80 (define @t80 () (_ tptp.mbox_s4 (_ (_ tptp.lt @t2) @t19))) % 1.62/1.80 (define @t81 () (_ tptp.mimplies @t73)) % 1.62/1.80 (define @t82 () (_ tptp.mbox_s4 (_ (_ tptp.geq @t2) @t19))) % 1.62/1.80 (define @t83 () (_ tptp.mbox_s4 (_ @t77 @t2))) % 1.62/1.80 (define @t84 () (_ tptp.mbox_s4 (_ @t76 (_ tptp.pred @t19)))) % 1.62/1.80 (define @t85 () (_ tptp.succ @t2)) % 1.62/1.80 (define @t86 () (_ tptp.succ @t19)) % 1.62/1.80 (define @t87 () (_ tptp.mimplies @t78)) % 1.62/1.80 (define @t88 () (_ tptp.mbox_s4 (_ (_ tptp.gt @t86) @t2))) % 1.62/1.80 (define @t89 () (_ @t66 @t2)) % 1.62/1.80 (define @t90 () (_ tptp.leq tptp.n0)) % 1.62/1.80 (define @t91 () (_ tptp.mbox_s4 (_ @t90 @t2))) % 1.62/1.80 (define @t92 () (_ tptp.mimplies @t91)) % 1.62/1.80 (define @t93 () (@var "Val" tptp.mu)) % 1.62/1.80 (define @t94 () (@var "I" tptp.mu)) % 1.62/1.80 (define @t95 () (@var "U" tptp.mu)) % 1.62/1.80 (define @t96 () (@var "L" tptp.mu)) % 1.62/1.80 (define @t97 () (_ tptp.leq @t94)) % 1.62/1.80 (define @t98 () (_ tptp.mbox_s4 (_ @t97 @t95))) % 1.62/1.80 (define @t99 () (@list @t93 @t16)) % 1.62/1.80 (define @t100 () (@list @t95 @t16)) % 1.62/1.80 (define @t101 () (@list @t94 @t16)) % 1.62/1.80 (define @t102 () (@var "J" tptp.mu)) % 1.62/1.80 (define @t103 () (@var "U2" tptp.mu)) % 1.62/1.80 (define @t104 () (@var "L2" tptp.mu)) % 1.62/1.80 (define @t105 () (@var "U1" tptp.mu)) % 1.62/1.80 (define @t106 () (@var "L1" tptp.mu)) % 1.62/1.80 (define @t107 () (_ tptp.leq @t102)) % 1.62/1.80 (define @t108 () (@list @t102 @t16)) % 1.62/1.80 (define @t109 () (_ tptp.a_select3 @t65)) % 1.62/1.80 (define @t110 () (@var "N" tptp.mu)) % 1.62/1.80 (define @t111 () (_ tptp.mbox_s4 (_ @t107 @t110))) % 1.62/1.80 (define @t112 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t102)))) % 1.62/1.80 (define @t113 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t97 @t110)))) % 1.62/1.80 (define @t114 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t94)))) % 1.62/1.80 (define @t115 () (_ tptp.mimplies (_ @t114 (_ @t113 (_ @t112 @t111))))) % 1.62/1.80 (define @t116 () (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t36 @t94) @t102)) (_ (_ @t36 @t102) @t94))))) @t16)))) @t16))))) % 1.62/1.80 (define @t117 () (_ tptp.mimplies @t116)) % 1.62/1.80 (define @t118 () (@list @t110 @t16)) % 1.62/1.80 (define @t119 () (_ tptp.a_select3 @t41)) % 1.62/1.80 (define @t120 () (@var "VAL" tptp.mu)) % 1.62/1.80 (define @t121 () (@var "K" tptp.mu)) % 1.62/1.80 (define @t122 () (_ tptp.a_select3 (_ (_ (_ @t59 @t121) @t121) @t120))) % 1.62/1.80 (define @t123 () (@list @t120 @t16)) % 1.62/1.80 (define @t124 () (_ tptp.a_select3 (_ @t49 @t26))) % 1.62/1.80 (define @t125 () (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t35 @t94) @t102)) (_ (_ @t35 @t102) @t94)))) % 1.62/1.80 (define @t126 () (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 @t125)) @t16)))) @t16))))) % 1.62/1.80 (define @t127 () (_ tptp.mand @t116)) % 1.62/1.80 (define @t128 () (_ tptp.mimplies (_ @t127 @t126))) % 1.62/1.80 (define @t129 () (_ tptp.a_select3 (_ @t54 @t26))) % 1.62/1.80 (define @t130 () (_ tptp.a_select3 (_ @t52 (_ @t51 @t65)))) % 1.62/1.80 (define @t131 () (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t130 @t94) @t102)) (_ (_ @t130 @t102) @t94))))) @t16)))) @t16))))) % 1.62/1.80 (define @t132 () (@var "M" tptp.mu)) % 1.62/1.80 (define @t133 () (_ tptp.mimplies (_ @t114 (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t97 @t132))) (_ @t112 (_ tptp.mbox_s4 (_ @t107 @t132))))))) % 1.62/1.80 (define @t134 () (@list @t132 @t16)) % 1.62/1.80 (define @t135 () (@var "F" tptp.mu)) % 1.62/1.80 (define @t136 () (_ tptp.a_select3 (_ @t49 (_ @t51 (_ (_ tptp.tptp_mmul (_ (_ tptp.tptp_madd (_ @t53 (_ (_ tptp.tptp_mmul @t34) (_ tptp.trans @t25)))) (_ (_ tptp.tptp_mmul @t58) (_ (_ tptp.tptp_mmul @t135) (_ tptp.trans @t58))))) @t64))))) % 1.62/1.80 (define @t137 () (_ tptp.a_select3 @t135)) % 1.62/1.80 (define @t138 () (_ tptp.a_select3 @t34)) % 1.62/1.80 (define @t139 () (@var "Body" tptp.mu)) % 1.62/1.80 (define @t140 () (_ (_ (_ tptp.sum tptp.n0) tptp.tptp_minus_1) @t139)) % 1.62/1.80 (define @t141 () (@list @t139 @t16)) % 1.62/1.80 (define @t142 () (_ tptp.plus @t2)) % 1.62/1.80 (define @t143 () (_ tptp.succ @t85)) % 1.62/1.80 (define @t144 () (_ tptp.succ @t143)) % 1.62/1.80 (define @t145 () (_ tptp.succ @t144)) % 1.62/1.80 (define @t146 () (_ tptp.succ @t145)) % 1.62/1.80 (define @t147 () (_ tptp.pred @t2)) % 1.62/1.80 (define @t148 () (_ tptp.minus @t2)) % 1.62/1.80 (define @t149 () (_ tptp.leq @t85)) % 1.62/1.80 (define @t150 () (_ tptp.mbox_s4 (_ @t149 @t86))) % 1.62/1.80 (define @t151 () (@var "V" tptp.mu)) % 1.62/1.80 (define @t152 () (_ tptp.tptp_update3 @t2)) % 1.62/1.80 (define @t153 () (_ tptp.a_select3 (_ (_ (_ @t152 @t95) @t151) @t120))) % 1.62/1.80 (define @t154 () (@list @t151 @t16)) % 1.62/1.80 (define @t155 () (@var "VAL2" tptp.mu)) % 1.62/1.80 (define @t156 () (_ tptp.a_select3 @t2)) % 1.62/1.80 (define @t157 () (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t94) @t95)))))) % 1.62/1.80 (define @t158 () (@list @t155 @t16)) % 1.62/1.80 (define @t159 () (@var "J0" tptp.mu)) % 1.62/1.80 (define @t160 () (@var "I0" tptp.mu)) % 1.62/1.80 (define @t161 () (_ tptp.mbox_s4 (_ (_ tptp.leq @t160) @t95))) % 1.62/1.80 (define @t162 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t160)))) % 1.62/1.80 (define @t163 () (@list @t160 @t16)) % 1.62/1.80 (define @t164 () (_ tptp.tptp_update2 @t2)) % 1.62/1.80 (define @t165 () (_ tptp.a_select2 (_ (_ @t164 @t95) @t120))) % 1.62/1.80 (define @t166 () (_ tptp.a_select2 @t2)) % 1.62/1.80 (define @t167 () (_ tptp.mbox_s4 tptp.true)) % 1.62/1.80 (define @t168 () (_ tptp.gt tptp.n5)) % 1.62/1.80 (define @t169 () (_ tptp.gt tptp.n6)) % 1.62/1.80 (define @t170 () (_ tptp.gt tptp.n999)) % 1.62/1.80 (define @t171 () (_ tptp.gt tptp.n4)) % 1.62/1.80 (define @t172 () (_ tptp.gt tptp.n1)) % 1.62/1.80 (define @t173 () (_ tptp.gt tptp.n2)) % 1.62/1.80 (define @t174 () (_ tptp.gt tptp.n3)) % 1.62/1.80 (define @t175 () (_ tptp.mbox_s4 (_ @t17 tptp.n4))) % 1.62/1.80 (define @t176 () (_ tptp.mbox_s4 (_ @t17 tptp.n3))) % 1.62/1.80 (define @t177 () (_ tptp.mor @t176)) % 1.62/1.80 (define @t178 () (_ tptp.mbox_s4 (_ @t17 tptp.n2))) % 1.62/1.80 (define @t179 () (_ tptp.mor @t178)) % 1.62/1.80 (define @t180 () (_ tptp.mbox_s4 (_ @t17 tptp.n1))) % 1.62/1.80 (define @t181 () (_ tptp.mor @t180)) % 1.62/1.80 (define @t182 () (_ tptp.mbox_s4 (_ @t17 tptp.n0))) % 1.62/1.80 (define @t183 () (_ tptp.mor @t182)) % 1.62/1.80 (define @t184 () (_ tptp.mand @t91)) % 1.62/1.80 (define @t185 () (_ tptp.mbox_s4 (_ @t17 tptp.n5))) % 1.62/1.80 (define @t186 () (_ tptp.mor @t175)) % 1.62/1.80 (define @t187 () (_ tptp.succ tptp.n0)) % 1.62/1.80 (define @t188 () (_ tptp.succ @t187)) % 1.62/1.80 (define @t189 () (_ tptp.succ @t188)) % 1.62/1.80 (define @t190 () (_ tptp.succ @t189)) % 1.62/1.80 (define @t191 () (_ tptp.succ @t190)) % 1.62/1.80 (define @t192 () (_ (_ tptp.minus tptp.n999) tptp.n1)) % 1.62/1.80 (define @t193 () (_ (_ tptp.geq @t192) tptp.n0)) % 1.62/1.80 (define @t194 () (_ tptp.mbox_s4 @t193)) % 1.62/1.80 (define @t195 () (_ (_ tptp.minus tptp.n3) tptp.n1)) % 1.62/1.80 (define @t196 () (_ (_ tptp.geq @t195) tptp.n0)) % 1.62/1.80 (define @t197 () (_ tptp.mbox_s4 @t196)) % 1.62/1.80 (define @t198 () (_ (_ tptp.minus tptp.n6) tptp.n1)) % 1.62/1.80 (define @t199 () (_ (_ tptp.geq @t198) tptp.n0)) % 1.62/1.80 (define @t200 () (_ tptp.mimplies (_ tptp.mbox_s4 @t199))) % 1.62/1.80 (define @t201 () (_ (_ tptp.geq tptp.n2) tptp.n0)) % 1.62/1.80 (define @t202 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t197) (_ tptp.mbox_s4 (_ @t200 (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox_s4 @t201)) @t194)) (_ tptp.mbox_s4 (_ @t200 (_ tptp.mbox_s4 (_ @t200 (_ tptp.mbox_s4 (_ @t200 (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand @t197) @t194)) @t167))))))))))))))))) % 1.62/1.80 (define @t203 () (@var "Y" (-> $$unsorted Bool))) % 1.62/1.80 (define @t204 () (@var "X" (-> $$unsorted Bool))) % 1.62/1.80 (define @t205 () (lambda (@list @t204 @t203 @t7) (= (_ @t204 @t7) (_ @t203 @t7)))) % 1.62/1.80 (define @t206 () (@var "Phi" (-> $$unsorted Bool))) % 1.62/1.80 (define @t207 () (_ @t206 @t7)) % 1.62/1.80 (define @t208 () (not @t207)) % 1.62/1.80 (define @t209 () (@list @t206 @t7)) % 1.62/1.80 (define @t210 () (lambda @t209 @t208)) % 1.62/1.80 (define @t211 () (@var "Psi" (-> $$unsorted Bool))) % 1.62/1.80 (define @t212 () (_ @t211 @t7)) % 1.62/1.80 (define @t213 () (lambda (@list @t206 @t211 @t7) (or @t207 @t212))) % 1.62/1.80 (define @t214 () (_ @t206 @t1)) % 1.62/1.80 (define @t215 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 1.62/1.80 (define @t216 () (lambda (@list @t215 @t206 @t7) (forall @t6 (or (not (_ (_ @t215 @t7) @t1)) @t214)))) % 1.62/1.80 (define @t217 () (@var "P" (-> $$unsorted Bool))) % 1.62/1.80 (define @t218 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 1.62/1.80 (define @t219 () (_ @t218 @t217)) % 1.62/1.80 (define @t220 () (lambda (@list @t218 @t7) (forall (@list @t217) (_ @t219 @t7)))) % 1.62/1.80 (define @t221 () (@list @t7)) % 1.62/1.80 (define @t222 () (lambda @t221 true)) % 1.62/1.80 (define @t223 () (_ tptp.mnot @t211)) % 1.62/1.80 (define @t224 () (_ tptp.mnot @t206)) % 1.62/1.80 (define @t225 () (_ tptp.mor @t224)) % 1.62/1.80 (define @t226 () (@list @t206 @t211 @t16)) % 1.62/1.80 (define @t227 () (lambda @t226 (_ (_ tptp.mnot (_ @t225 @t223)) @t16))) % 1.62/1.80 (define @t228 () (lambda @t226 (_ (_ @t225 @t211) @t16))) % 1.62/1.80 (define @t229 () (lambda @t226 (_ (_ (_ tptp.mor @t223) @t206) @t16))) % 1.62/1.80 (define @t230 () (lambda @t226 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t206) @t211)) (_ (_ tptp.mimplies @t211) @t206)) @t16))) % 1.62/1.80 (define @t231 () (lambda @t226 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t206) @t211)) @t16))) % 1.62/1.80 (define @t232 () (lambda (@list @t215 @t206 @t16) (_ (_ tptp.mnot (_ (_ tptp.mbox @t215) @t224)) @t16))) % 1.62/1.80 (define @t233 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 1.62/1.80 (define @t234 () (_ @t233 @t2)) % 1.62/1.80 (define @t235 () (lambda (@list @t233 @t7) (forall @t5 (=> @t8 (_ @t234 @t7))))) % 1.62/1.80 (define @t236 () (lambda (@list @t233 @t16) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mnot @t234) @t16)))) @t16))) % 1.62/1.80 (define @t237 () (lambda (@list @t218 @t16) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t217 @t16) (_ (_ tptp.mnot @t219) @t16)))) @t16))) % 1.62/1.80 (define @t238 () (@var "S" $$unsorted)) % 1.62/1.80 (define @t239 () (_ @t215 @t238)) % 1.62/1.80 (define @t240 () (@list @t238)) % 1.62/1.80 (define @t241 () (@list @t215)) % 1.62/1.80 (define @t242 () (lambda @t241 (forall @t240 (_ @t239 @t238)))) % 1.62/1.80 (define @t243 () (@var "T" $$unsorted)) % 1.62/1.80 (define @t244 () (_ @t215 @t243)) % 1.62/1.80 (define @t245 () (_ @t239 @t243)) % 1.62/1.80 (define @t246 () (lambda @t241 (forall (@list @t238 @t243) (=> @t245 (_ @t244 @t238))))) % 1.62/1.80 (define @t247 () (@list @t243)) % 1.62/1.80 (define @t248 () (lambda @t241 (forall @t240 (exists @t247 @t245)))) % 1.62/1.80 (define @t249 () (@var "U" $$unsorted)) % 1.62/1.80 (define @t250 () (_ @t239 @t249)) % 1.62/1.80 (define @t251 () (_ @t244 @t249)) % 1.62/1.80 (define @t252 () (@list @t238 @t243 @t249)) % 1.62/1.80 (define @t253 () (lambda @t241 (forall @t252 (=> (and @t245 @t251) @t250)))) % 1.62/1.80 (define @t254 () (and @t245 @t250)) % 1.62/1.80 (define @t255 () (lambda @t241 (forall @t252 (=> @t254 @t251)))) % 1.62/1.80 (define @t256 () (= @t243 @t249)) % 1.62/1.80 (define @t257 () (lambda @t241 (forall @t252 (=> @t254 @t256)))) % 1.62/1.80 (define @t258 () (@list @t249)) % 1.62/1.80 (define @t259 () (lambda @t241 (forall @t240 (exists @t247 (and @t245 (forall @t258 (=> @t250 @t256))))))) % 1.62/1.80 (define @t260 () (_ @t215 @t249)) % 1.62/1.80 (define @t261 () (_ @t260 @t243)) % 1.62/1.80 (define @t262 () (lambda @t241 (forall @t252 (=> @t245 (exists @t258 (and @t250 @t261)))))) % 1.62/1.80 (define @t263 () (lambda @t241 (forall @t252 (=> @t254 (or @t251 @t256 @t261))))) % 1.62/1.80 (define @t264 () (lambda @t241 (forall @t252 (=> @t254 (exists @t6 (and (_ @t244 @t1) (_ @t260 @t1))))))) % 1.62/1.80 (define @t265 () (forall @t221 @t207)) % 1.62/1.80 (define @t266 () (@list @t206)) % 1.62/1.80 (define @t267 () (lambda @t266 @t265)) % 1.62/1.80 (define @t268 () (lambda @t266 (exists @t221 @t207))) % 1.62/1.80 (define @t269 () (lambda @t266 (exists @t221 @t208))) % 1.62/1.80 (define @t270 () (lambda @t266 (forall @t221 @t208))) % 1.62/1.80 (define @t271 () (_ (_ tptp.rel_s4 @t7) @t1)) % 1.62/1.80 (define @t272 () (not @t271)) % 1.62/1.80 (define @t273 () (or @t272 @t214)) % 1.62/1.80 (define @t274 () (forall @t6 @t273)) % 1.62/1.80 (define @t275 () (lambda @t209 @t274)) % 1.62/1.80 (define @t276 () (lambda (@list @t206 @t16) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t224)) @t16))) % 1.62/1.80 (define @t277 () (tptp.true @t1)) % 1.62/1.80 (define @t278 () (tptp.rel_s4 @t7 @t1)) % 1.62/1.80 (define @t279 () (not @t278)) % 1.62/1.80 (define @t280 () (or @t279 @t277)) % 1.62/1.80 (define @t281 () (forall (@list @t7 @t1) @t280)) % 1.62/1.80 (define @t282 () (forall @t6 @t280)) % 1.62/1.80 (define @t283 () (lambda @t221 @t282)) % 1.62/1.80 (define @t284 () (_ @t283 @t7)) % 1.62/1.80 (define @t285 () (forall @t221 @t284)) % 1.62/1.80 (define @t286 () (_ @t206 @t7)) % 1.62/1.80 (define @t287 () (lambda @t266 (forall @t221 @t286))) % 1.62/1.80 (define @t288 () (_ @t206 @t1)) % 1.62/1.80 (define @t289 () (lambda @t209 (forall @t6 (or @t279 @t288)))) % 1.62/1.80 (define @t290 () (_ @t289 tptp.true)) % 1.62/1.80 (define @t291 () (@var "BOUND_VARIABLE_65193" $$unsorted)) % 1.62/1.80 (define @t292 () (tptp.true @t291)) % 1.62/1.80 (define @t293 () (@var "BOUND_VARIABLE_65191" $$unsorted)) % 1.62/1.80 (define @t294 () (not (tptp.rel_s4 @t293 @t291))) % 1.62/1.80 (define @t295 () (@var "BOUND_VARIABLE_64558" $$unsorted)) % 1.62/1.80 (define @t296 () (tptp.minus tptp.n999 tptp.n1)) % 1.62/1.80 (define @t297 () (tptp.geq @t296 tptp.n0 @t295)) % 1.62/1.80 (define @t298 () (@list @t295)) % 1.62/1.80 (define @t299 () (not (forall @t298 (or (not (tptp.rel_s4 @t293 @t295)) @t297)))) % 1.62/1.80 (define @t300 () (@var "BOUND_VARIABLE_64567" $$unsorted)) % 1.62/1.80 (define @t301 () (tptp.minus tptp.n3 tptp.n1)) % 1.62/1.80 (define @t302 () (tptp.geq @t301 tptp.n0 @t300)) % 1.62/1.80 (define @t303 () (@list @t300)) % 1.62/1.80 (define @t304 () (not (forall @t303 (or (not (tptp.rel_s4 @t293 @t300)) @t302)))) % 1.62/1.80 (define @t305 () (@var "BOUND_VARIABLE_65189" $$unsorted)) % 1.62/1.80 (define @t306 () (not (tptp.rel_s4 @t305 @t293))) % 1.62/1.80 (define @t307 () (@var "BOUND_VARIABLE_64650" $$unsorted)) % 1.62/1.80 (define @t308 () (tptp.minus tptp.n6 tptp.n1)) % 1.62/1.80 (define @t309 () (tptp.geq @t308 tptp.n0 @t307)) % 1.62/1.80 (define @t310 () (@list @t307)) % 1.62/1.80 (define @t311 () (not (forall @t310 (or (not (tptp.rel_s4 @t305 @t307)) @t309)))) % 1.62/1.80 (define @t312 () (@var "BOUND_VARIABLE_65187" $$unsorted)) % 1.62/1.80 (define @t313 () (not (tptp.rel_s4 @t312 @t305))) % 1.62/1.80 (define @t314 () (@var "BOUND_VARIABLE_64728" $$unsorted)) % 1.62/1.80 (define @t315 () (tptp.geq @t308 tptp.n0 @t314)) % 1.62/1.80 (define @t316 () (@list @t314)) % 1.62/1.80 (define @t317 () (not (forall @t316 (or (not (tptp.rel_s4 @t312 @t314)) @t315)))) % 1.62/1.80 (define @t318 () (@var "BOUND_VARIABLE_65185" $$unsorted)) % 1.62/1.80 (define @t319 () (not (tptp.rel_s4 @t318 @t312))) % 1.62/1.80 (define @t320 () (@var "BOUND_VARIABLE_64815" $$unsorted)) % 1.62/1.80 (define @t321 () (tptp.geq @t308 tptp.n0 @t320)) % 1.62/1.80 (define @t322 () (@list @t320)) % 1.62/1.80 (define @t323 () (not (forall @t322 (or (not (tptp.rel_s4 @t318 @t320)) @t321)))) % 1.62/1.80 (define @t324 () (@var "BOUND_VARIABLE_65183" $$unsorted)) % 1.62/1.80 (define @t325 () (not (tptp.rel_s4 @t324 @t318))) % 1.62/1.80 (define @t326 () (@var "BOUND_VARIABLE_64898" $$unsorted)) % 1.62/1.80 (define @t327 () (tptp.geq @t296 tptp.n0 @t326)) % 1.62/1.80 (define @t328 () (@list @t326)) % 1.62/1.80 (define @t329 () (not (forall @t328 (or (not (tptp.rel_s4 @t324 @t326)) @t327)))) % 1.62/1.80 (define @t330 () (@var "BOUND_VARIABLE_64907" $$unsorted)) % 1.62/1.80 (define @t331 () (tptp.geq tptp.n2 tptp.n0 @t330)) % 1.62/1.80 (define @t332 () (@list @t330)) % 1.62/1.80 (define @t333 () (not (forall @t332 (or (not (tptp.rel_s4 @t324 @t330)) @t331)))) % 1.62/1.80 (define @t334 () (@var "BOUND_VARIABLE_65181" $$unsorted)) % 1.62/1.80 (define @t335 () (not (tptp.rel_s4 @t334 @t324))) % 1.62/1.80 (define @t336 () (@var "BOUND_VARIABLE_65036" $$unsorted)) % 1.62/1.80 (define @t337 () (tptp.geq @t308 tptp.n0 @t336)) % 1.62/1.80 (define @t338 () (@list @t336)) % 1.62/1.80 (define @t339 () (not (forall @t338 (or (not (tptp.rel_s4 @t334 @t336)) @t337)))) % 1.62/1.80 (define @t340 () (not (tptp.rel_s4 @t1 @t334))) % 1.62/1.80 (define @t341 () (@var "BOUND_VARIABLE_65156" $$unsorted)) % 1.62/1.80 (define @t342 () (tptp.geq @t301 tptp.n0 @t341)) % 1.62/1.80 (define @t343 () (@list @t341)) % 1.62/1.80 (define @t344 () (not (forall @t343 (or (not (tptp.rel_s4 @t1 @t341)) @t342)))) % 1.62/1.80 (define @t345 () (or @t279 @t344 @t340 @t339 @t335 @t333 @t329 @t325 @t323 @t319 @t317 @t313 @t311 @t306 @t304 @t299 @t294 @t292)) % 1.62/1.80 (define @t346 () (forall (@list @t7 @t1 @t334 @t324 @t318 @t312 @t305 @t293 @t291) @t345)) % 1.62/1.80 (define @t347 () (@list @t1 @t334 @t324 @t318 @t312 @t305 @t293 @t291)) % 1.62/1.80 (define @t348 () (forall @t347 @t345)) % 1.62/1.80 (define @t349 () (lambda @t221 @t348)) % 1.62/1.80 (define @t350 () (_ @t349 @t7)) % 1.62/1.80 (define @t351 () (forall @t221 @t350)) % 1.62/1.80 (define @t352 () (or @t340 @t339 @t335 @t333 @t329 @t325 @t323 @t319 @t317 @t313 @t311 @t306 @t304 @t299 @t294 @t292)) % 1.62/1.80 (define @t353 () (or @t279 @t344 @t352)) % 1.62/1.80 (define @t354 () (forall @t347 @t353)) % 1.62/1.80 (define @t355 () (@list @t334 @t324 @t318 @t312 @t305 @t293 @t291)) % 1.62/1.80 (define @t356 () (forall @t355 @t353)) % 1.62/1.80 (define @t357 () (forall @t355 @t352)) % 1.62/1.80 (define @t358 () (@var "BOUND_VARIABLE_65071" $$unsorted)) % 1.62/1.80 (define @t359 () (@var "BOUND_VARIABLE_65069" $$unsorted)) % 1.62/1.80 (define @t360 () (@var "BOUND_VARIABLE_65067" $$unsorted)) % 1.62/1.80 (define @t361 () (@var "BOUND_VARIABLE_65065" $$unsorted)) % 1.62/1.80 (define @t362 () (@var "BOUND_VARIABLE_65063" $$unsorted)) % 1.62/1.80 (define @t363 () (@var "BOUND_VARIABLE_65061" $$unsorted)) % 1.62/1.80 (define @t364 () (@var "BOUND_VARIABLE_65142" $$unsorted)) % 1.62/1.80 (define @t365 () (or @t279 @t344 @t357)) % 1.62/1.80 (define @t366 () (tptp.true @t358)) % 1.62/1.80 (define @t367 () (not (tptp.rel_s4 @t359 @t358))) % 1.62/1.80 (define @t368 () (not (forall @t298 (or (not (tptp.rel_s4 @t359 @t295)) @t297)))) % 1.62/1.80 (define @t369 () (not (forall @t303 (or (not (tptp.rel_s4 @t359 @t300)) @t302)))) % 1.62/1.80 (define @t370 () (not (tptp.rel_s4 @t360 @t359))) % 1.62/1.80 (define @t371 () (not (forall @t310 (or (not (tptp.rel_s4 @t360 @t307)) @t309)))) % 1.62/1.80 (define @t372 () (not (tptp.rel_s4 @t361 @t360))) % 1.62/1.80 (define @t373 () (not (forall @t316 (or (not (tptp.rel_s4 @t361 @t314)) @t315)))) % 1.62/1.80 (define @t374 () (not (tptp.rel_s4 @t362 @t361))) % 1.62/1.80 (define @t375 () (not (forall @t322 (or (not (tptp.rel_s4 @t362 @t320)) @t321)))) % 1.62/1.80 (define @t376 () (not (tptp.rel_s4 @t363 @t362))) % 1.62/1.80 (define @t377 () (not (forall @t328 (or (not (tptp.rel_s4 @t363 @t326)) @t327)))) % 1.62/1.80 (define @t378 () (not (forall @t332 (or (not (tptp.rel_s4 @t363 @t330)) @t331)))) % 1.62/1.80 (define @t379 () (not (tptp.rel_s4 @t364 @t363))) % 1.62/1.80 (define @t380 () (not (forall @t338 (or (not (tptp.rel_s4 @t364 @t336)) @t337)))) % 1.62/1.80 (define @t381 () (@list @t364 @t363 @t362 @t361 @t360 @t359 @t358)) % 1.62/1.80 (define @t382 () (forall @t381 (or (not (tptp.rel_s4 @t1 @t364)) @t380 @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t371 @t370 @t369 @t368 @t367 @t366))) % 1.62/1.80 (define @t383 () (or @t279 @t344 @t382)) % 1.62/1.80 (define @t384 () (or @t344 @t382)) % 1.62/1.80 (define @t385 () (@list @t16)) % 1.62/1.80 (define @t386 () (not (tptp.rel_s4 @t1 @t363))) % 1.62/1.80 (define @t387 () (not (forall @t338 (or (not (tptp.rel_s4 @t1 @t336)) @t337)))) % 1.62/1.80 (define @t388 () (not (tptp.rel_s4 @t16 @t1))) % 1.62/1.80 (define @t389 () (@list @t1 @t363 @t362 @t361 @t360 @t359 @t358)) % 1.62/1.80 (define @t390 () (forall @t389 (or @t388 @t387 @t386 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t371 @t370 @t369 @t368 @t367 @t366))) % 1.62/1.80 (define @t391 () (@list @t1)) % 1.62/1.80 (define @t392 () (tptp.geq @t301 tptp.n0 @t1)) % 1.62/1.80 (define @t393 () (forall @t6 (or @t388 @t392))) % 1.62/1.80 (define @t394 () (not @t393)) % 1.62/1.80 (define @t395 () (or @t394 @t390)) % 1.62/1.80 (define @t396 () (lambda @t385 @t395)) % 1.62/1.80 (define @t397 () (or @t279 (_ @t396 @t1))) % 1.62/1.80 (define @t398 () (forall @t6 @t397)) % 1.62/1.80 (define @t399 () (lambda @t221 @t398)) % 1.62/1.80 (define @t400 () (or @t279 @t387 @t386 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t371 @t370 @t369 @t368 @t367 @t366)) % 1.62/1.80 (define @t401 () (lambda @t221 (forall @t389 @t400))) % 1.62/1.80 (define @t402 () (_ @t401 @t16)) % 1.62/1.80 (define @t403 () (or @t394 @t402)) % 1.62/1.80 (define @t404 () (lambda @t385 @t403)) % 1.62/1.80 (define @t405 () (_ @t211 @t16)) % 1.62/1.80 (define @t406 () (@list @t211 @t16)) % 1.62/1.80 (define @t407 () (or @t386 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t371 @t370 @t369 @t368 @t367 @t366)) % 1.62/1.80 (define @t408 () (or @t279 @t387 @t407)) % 1.62/1.80 (define @t409 () (forall @t389 @t408)) % 1.62/1.80 (define @t410 () (@list @t363 @t362 @t361 @t360 @t359 @t358)) % 1.62/1.80 (define @t411 () (forall @t410 @t408)) % 1.62/1.80 (define @t412 () (forall @t410 @t407)) % 1.62/1.80 (define @t413 () (@var "BOUND_VARIABLE_64959" $$unsorted)) % 1.62/1.80 (define @t414 () (@var "BOUND_VARIABLE_64957" $$unsorted)) % 1.62/1.80 (define @t415 () (@var "BOUND_VARIABLE_64955" $$unsorted)) % 1.62/1.80 (define @t416 () (@var "BOUND_VARIABLE_64953" $$unsorted)) % 1.62/1.80 (define @t417 () (@var "BOUND_VARIABLE_64951" $$unsorted)) % 1.62/1.80 (define @t418 () (@var "BOUND_VARIABLE_65017" $$unsorted)) % 1.62/1.80 (define @t419 () (or @t279 @t387 @t412)) % 1.62/1.80 (define @t420 () (tptp.true @t413)) % 1.62/1.80 (define @t421 () (not (tptp.rel_s4 @t414 @t413))) % 1.62/1.80 (define @t422 () (not (forall @t298 (or (not (tptp.rel_s4 @t414 @t295)) @t297)))) % 1.62/1.80 (define @t423 () (not (forall @t303 (or (not (tptp.rel_s4 @t414 @t300)) @t302)))) % 1.62/1.80 (define @t424 () (not (tptp.rel_s4 @t415 @t414))) % 1.62/1.80 (define @t425 () (not (forall @t310 (or (not (tptp.rel_s4 @t415 @t307)) @t309)))) % 1.62/1.80 (define @t426 () (not (tptp.rel_s4 @t416 @t415))) % 1.62/1.80 (define @t427 () (not (forall @t316 (or (not (tptp.rel_s4 @t416 @t314)) @t315)))) % 1.62/1.80 (define @t428 () (not (tptp.rel_s4 @t417 @t416))) % 1.62/1.80 (define @t429 () (not (forall @t322 (or (not (tptp.rel_s4 @t417 @t320)) @t321)))) % 1.62/1.80 (define @t430 () (not (tptp.rel_s4 @t418 @t417))) % 1.62/1.80 (define @t431 () (not (forall @t328 (or (not (tptp.rel_s4 @t418 @t326)) @t327)))) % 1.62/1.80 (define @t432 () (not (forall @t332 (or (not (tptp.rel_s4 @t418 @t330)) @t331)))) % 1.62/1.80 (define @t433 () (@list @t418 @t417 @t416 @t415 @t414 @t413)) % 1.62/1.80 (define @t434 () (forall @t433 (or (not (tptp.rel_s4 @t1 @t418)) @t432 @t431 @t430 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420))) % 1.62/1.80 (define @t435 () (or @t279 @t387 @t434)) % 1.62/1.80 (define @t436 () (or @t387 @t434)) % 1.62/1.80 (define @t437 () (not (tptp.rel_s4 @t1 @t417))) % 1.62/1.80 (define @t438 () (not (forall @t328 (or (not (tptp.rel_s4 @t1 @t326)) @t327)))) % 1.62/1.80 (define @t439 () (not (forall @t332 (or (not (tptp.rel_s4 @t1 @t330)) @t331)))) % 1.62/1.80 (define @t440 () (@list @t1 @t417 @t416 @t415 @t414 @t413)) % 1.62/1.80 (define @t441 () (forall @t440 (or @t388 @t439 @t438 @t437 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420))) % 1.62/1.80 (define @t442 () (tptp.geq @t308 tptp.n0 @t1)) % 1.62/1.80 (define @t443 () (forall @t6 (or @t388 @t442))) % 1.62/1.80 (define @t444 () (not @t443)) % 1.62/1.80 (define @t445 () (or @t444 @t441)) % 1.62/1.80 (define @t446 () (lambda @t385 @t445)) % 1.62/1.80 (define @t447 () (or @t279 (_ @t446 @t1))) % 1.62/1.80 (define @t448 () (forall @t6 @t447)) % 1.62/1.80 (define @t449 () (lambda @t221 @t448)) % 1.62/1.80 (define @t450 () (or @t279 @t439 @t438 @t437 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420)) % 1.62/1.80 (define @t451 () (lambda @t221 (forall @t440 @t450))) % 1.62/1.80 (define @t452 () (_ @t451 @t16)) % 1.62/1.80 (define @t453 () (or @t444 @t452)) % 1.62/1.80 (define @t454 () (lambda @t385 @t453)) % 1.62/1.80 (define @t455 () (lambda @t406 (or @t444 @t405))) % 1.62/1.80 (define @t456 () (or @t437 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420)) % 1.62/1.80 (define @t457 () (or @t279 @t456 @t439 @t438)) % 1.62/1.80 (define @t458 () (forall @t440 @t457)) % 1.62/1.80 (define @t459 () (@list @t417 @t416 @t415 @t414 @t413)) % 1.62/1.80 (define @t460 () (forall @t459 @t457)) % 1.62/1.80 (define @t461 () (forall @t459 @t456)) % 1.62/1.80 (define @t462 () (@var "BOUND_VARIABLE_64846" $$unsorted)) % 1.62/1.80 (define @t463 () (@var "BOUND_VARIABLE_64844" $$unsorted)) % 1.62/1.80 (define @t464 () (@var "BOUND_VARIABLE_64842" $$unsorted)) % 1.62/1.80 (define @t465 () (@var "BOUND_VARIABLE_64840" $$unsorted)) % 1.62/1.80 (define @t466 () (@var "BOUND_VARIABLE_64916" $$unsorted)) % 1.62/1.80 (define @t467 () (or @t279 @t461 @t439 @t438)) % 1.62/1.80 (define @t468 () (tptp.true @t462)) % 1.62/1.80 (define @t469 () (not (tptp.rel_s4 @t463 @t462))) % 1.62/1.80 (define @t470 () (not (forall @t298 (or (not (tptp.rel_s4 @t463 @t295)) @t297)))) % 1.62/1.80 (define @t471 () (not (forall @t303 (or (not (tptp.rel_s4 @t463 @t300)) @t302)))) % 1.62/1.80 (define @t472 () (not (tptp.rel_s4 @t464 @t463))) % 1.62/1.80 (define @t473 () (not (forall @t310 (or (not (tptp.rel_s4 @t464 @t307)) @t309)))) % 1.62/1.80 (define @t474 () (not (tptp.rel_s4 @t465 @t464))) % 1.62/1.80 (define @t475 () (not (forall @t316 (or (not (tptp.rel_s4 @t465 @t314)) @t315)))) % 1.62/1.80 (define @t476 () (not (tptp.rel_s4 @t466 @t465))) % 1.62/1.80 (define @t477 () (not (forall @t322 (or (not (tptp.rel_s4 @t466 @t320)) @t321)))) % 1.62/1.80 (define @t478 () (@list @t466 @t465 @t464 @t463 @t462)) % 1.62/1.80 (define @t479 () (forall @t478 (or (not (tptp.rel_s4 @t1 @t466)) @t477 @t476 @t475 @t474 @t473 @t472 @t471 @t470 @t469 @t468))) % 1.62/1.80 (define @t480 () (or @t279 @t479 @t439 @t438)) % 1.62/1.80 (define @t481 () (or @t479 @t439 @t438)) % 1.62/1.80 (define @t482 () (tptp.geq @t296 tptp.n0 @t1)) % 1.62/1.80 (define @t483 () (forall @t6 (or @t388 @t482))) % 1.62/1.80 (define @t484 () (not @t483)) % 1.62/1.80 (define @t485 () (tptp.geq tptp.n2 tptp.n0 @t1)) % 1.62/1.80 (define @t486 () (forall @t6 (or @t388 @t485))) % 1.62/1.80 (define @t487 () (not @t486)) % 1.62/1.80 (define @t488 () (not (tptp.rel_s4 @t1 @t465))) % 1.62/1.80 (define @t489 () (not (forall @t322 (or (not (tptp.rel_s4 @t1 @t320)) @t321)))) % 1.62/1.80 (define @t490 () (@list @t1 @t465 @t464 @t463 @t462)) % 1.62/1.80 (define @t491 () (forall @t490 (or @t388 @t489 @t488 @t475 @t474 @t473 @t472 @t471 @t470 @t469 @t468))) % 1.62/1.80 (define @t492 () (or @t491 @t487 @t484)) % 1.62/1.80 (define @t493 () (lambda @t385 @t492)) % 1.62/1.80 (define @t494 () (or @t279 (_ @t493 @t1))) % 1.62/1.80 (define @t495 () (forall @t6 @t494)) % 1.62/1.80 (define @t496 () (lambda @t221 @t495)) % 1.62/1.80 (define @t497 () (or @t279 @t489 @t488 @t475 @t474 @t473 @t472 @t471 @t470 @t469 @t468)) % 1.62/1.80 (define @t498 () (lambda @t221 (forall @t490 @t497))) % 1.62/1.80 (define @t499 () (_ @t498 @t16)) % 1.62/1.80 (define @t500 () (or @t499 @t487 @t484)) % 1.62/1.80 (define @t501 () (lambda @t385 @t500)) % 1.62/1.80 (define @t502 () (or @t405 @t487 @t484)) % 1.62/1.80 (define @t503 () (or @t488 @t475 @t474 @t473 @t472 @t471 @t470 @t469 @t468)) % 1.62/1.80 (define @t504 () (or @t279 @t489 @t503)) % 1.62/1.80 (define @t505 () (forall @t490 @t504)) % 1.62/1.80 (define @t506 () (@list @t465 @t464 @t463 @t462)) % 1.62/1.80 (define @t507 () (forall @t506 @t504)) % 1.62/1.80 (define @t508 () (forall @t506 @t503)) % 1.62/1.80 (define @t509 () (@var "BOUND_VARIABLE_64757" $$unsorted)) % 1.62/1.80 (define @t510 () (@var "BOUND_VARIABLE_64755" $$unsorted)) % 1.62/1.80 (define @t511 () (@var "BOUND_VARIABLE_64753" $$unsorted)) % 1.62/1.80 (define @t512 () (@var "BOUND_VARIABLE_64801" $$unsorted)) % 1.62/1.80 (define @t513 () (or @t279 @t489 @t508)) % 1.62/1.80 (define @t514 () (tptp.true @t509)) % 1.62/1.80 (define @t515 () (not (tptp.rel_s4 @t510 @t509))) % 1.62/1.80 (define @t516 () (not (forall @t298 (or (not (tptp.rel_s4 @t510 @t295)) @t297)))) % 1.62/1.80 (define @t517 () (not (forall @t303 (or (not (tptp.rel_s4 @t510 @t300)) @t302)))) % 1.62/1.80 (define @t518 () (not (tptp.rel_s4 @t511 @t510))) % 1.62/1.80 (define @t519 () (not (forall @t310 (or (not (tptp.rel_s4 @t511 @t307)) @t309)))) % 1.62/1.80 (define @t520 () (not (tptp.rel_s4 @t512 @t511))) % 1.62/1.80 (define @t521 () (not (forall @t316 (or (not (tptp.rel_s4 @t512 @t314)) @t315)))) % 1.62/1.80 (define @t522 () (@list @t512 @t511 @t510 @t509)) % 1.62/1.80 (define @t523 () (forall @t522 (or (not (tptp.rel_s4 @t1 @t512)) @t521 @t520 @t519 @t518 @t517 @t516 @t515 @t514))) % 1.62/1.80 (define @t524 () (or @t279 @t489 @t523)) % 1.62/1.80 (define @t525 () (or @t489 @t523)) % 1.62/1.80 (define @t526 () (not (tptp.rel_s4 @t1 @t511))) % 1.62/1.80 (define @t527 () (not (forall @t316 (or (not (tptp.rel_s4 @t1 @t314)) @t315)))) % 1.62/1.80 (define @t528 () (@list @t1 @t511 @t510 @t509)) % 1.62/1.80 (define @t529 () (forall @t528 (or @t388 @t527 @t526 @t519 @t518 @t517 @t516 @t515 @t514))) % 1.62/1.80 (define @t530 () (or @t444 @t529)) % 1.62/1.80 (define @t531 () (lambda @t385 @t530)) % 1.62/1.80 (define @t532 () (or @t279 (_ @t531 @t1))) % 1.62/1.80 (define @t533 () (forall @t6 @t532)) % 1.62/1.80 (define @t534 () (lambda @t221 @t533)) % 1.62/1.80 (define @t535 () (or @t279 @t527 @t526 @t519 @t518 @t517 @t516 @t515 @t514)) % 1.62/1.80 (define @t536 () (lambda @t221 (forall @t528 @t535))) % 1.62/1.80 (define @t537 () (_ @t536 @t16)) % 1.62/1.80 (define @t538 () (or @t444 @t537)) % 1.62/1.80 (define @t539 () (lambda @t385 @t538)) % 1.62/1.80 (define @t540 () (or @t526 @t519 @t518 @t517 @t516 @t515 @t514)) % 1.62/1.80 (define @t541 () (or @t279 @t527 @t540)) % 1.62/1.80 (define @t542 () (forall @t528 @t541)) % 1.62/1.80 (define @t543 () (@list @t511 @t510 @t509)) % 1.62/1.80 (define @t544 () (forall @t543 @t541)) % 1.62/1.80 (define @t545 () (forall @t543 @t540)) % 1.62/1.80 (define @t546 () (@var "BOUND_VARIABLE_64677" $$unsorted)) % 1.62/1.80 (define @t547 () (@var "BOUND_VARIABLE_64675" $$unsorted)) % 1.62/1.80 (define @t548 () (@var "BOUND_VARIABLE_64714" $$unsorted)) % 1.62/1.80 (define @t549 () (or @t279 @t527 @t545)) % 1.62/1.80 (define @t550 () (tptp.true @t546)) % 1.62/1.80 (define @t551 () (not (tptp.rel_s4 @t547 @t546))) % 1.62/1.80 (define @t552 () (not (forall @t298 (or (not (tptp.rel_s4 @t547 @t295)) @t297)))) % 1.62/1.80 (define @t553 () (not (forall @t303 (or (not (tptp.rel_s4 @t547 @t300)) @t302)))) % 1.62/1.80 (define @t554 () (not (tptp.rel_s4 @t548 @t547))) % 1.62/1.80 (define @t555 () (not (forall @t310 (or (not (tptp.rel_s4 @t548 @t307)) @t309)))) % 1.62/1.80 (define @t556 () (@list @t548 @t547 @t546)) % 1.62/1.80 (define @t557 () (forall @t556 (or (not (tptp.rel_s4 @t1 @t548)) @t555 @t554 @t553 @t552 @t551 @t550))) % 1.62/1.80 (define @t558 () (or @t279 @t527 @t557)) % 1.62/1.80 (define @t559 () (or @t527 @t557)) % 1.62/1.80 (define @t560 () (not (tptp.rel_s4 @t1 @t547))) % 1.62/1.80 (define @t561 () (not (forall @t310 (or (not (tptp.rel_s4 @t1 @t307)) @t309)))) % 1.62/1.80 (define @t562 () (@list @t1 @t547 @t546)) % 1.62/1.80 (define @t563 () (forall @t562 (or @t388 @t561 @t560 @t553 @t552 @t551 @t550))) % 1.62/1.80 (define @t564 () (or @t444 @t563)) % 1.62/1.80 (define @t565 () (lambda @t385 @t564)) % 1.62/1.80 (define @t566 () (or @t279 (_ @t565 @t1))) % 1.62/1.80 (define @t567 () (forall @t6 @t566)) % 1.62/1.80 (define @t568 () (lambda @t221 @t567)) % 1.62/1.80 (define @t569 () (or @t279 @t561 @t560 @t553 @t552 @t551 @t550)) % 1.62/1.80 (define @t570 () (lambda @t221 (forall @t562 @t569))) % 1.62/1.80 (define @t571 () (_ @t570 @t16)) % 1.62/1.80 (define @t572 () (or @t444 @t571)) % 1.62/1.80 (define @t573 () (lambda @t385 @t572)) % 1.62/1.80 (define @t574 () (or @t560 @t553 @t552 @t551 @t550)) % 1.62/1.80 (define @t575 () (or @t279 @t561 @t574)) % 1.62/1.80 (define @t576 () (forall @t562 @t575)) % 1.62/1.80 (define @t577 () (@list @t547 @t546)) % 1.62/1.80 (define @t578 () (forall @t577 @t575)) % 1.62/1.80 (define @t579 () (forall @t577 @t574)) % 1.62/1.80 (define @t580 () (@var "BOUND_VARIABLE_64605" $$unsorted)) % 1.62/1.80 (define @t581 () (@var "BOUND_VARIABLE_64631" $$unsorted)) % 1.62/1.80 (define @t582 () (or @t279 @t561 @t579)) % 1.62/1.80 (define @t583 () (tptp.true @t580)) % 1.62/1.80 (define @t584 () (not (tptp.rel_s4 @t581 @t580))) % 1.62/1.80 (define @t585 () (not (forall @t298 (or (not (tptp.rel_s4 @t581 @t295)) @t297)))) % 1.62/1.80 (define @t586 () (not (forall @t303 (or (not (tptp.rel_s4 @t581 @t300)) @t302)))) % 1.62/1.80 (define @t587 () (@list @t581 @t580)) % 1.62/1.80 (define @t588 () (forall @t587 (or (not (tptp.rel_s4 @t1 @t581)) @t586 @t585 @t584 @t583))) % 1.62/1.80 (define @t589 () (or @t279 @t561 @t588)) % 1.62/1.80 (define @t590 () (or @t561 @t588)) % 1.62/1.80 (define @t591 () (not (tptp.rel_s4 @t1 @t580))) % 1.62/1.80 (define @t592 () (not (forall @t298 (or (not (tptp.rel_s4 @t1 @t295)) @t297)))) % 1.62/1.80 (define @t593 () (not (forall @t303 (or (not (tptp.rel_s4 @t1 @t300)) @t302)))) % 1.62/1.80 (define @t594 () (@list @t1 @t580)) % 1.62/1.80 (define @t595 () (forall @t594 (or @t388 @t593 @t592 @t591 @t583))) % 1.62/1.80 (define @t596 () (or @t444 @t595)) % 1.62/1.80 (define @t597 () (lambda @t385 @t596)) % 1.62/1.80 (define @t598 () (or @t279 (_ @t597 @t1))) % 1.62/1.80 (define @t599 () (forall @t6 @t598)) % 1.62/1.80 (define @t600 () (lambda @t221 @t599)) % 1.62/1.80 (define @t601 () (or @t279 @t593 @t592 @t591 @t583)) % 1.62/1.80 (define @t602 () (lambda @t221 (forall @t594 @t601))) % 1.62/1.80 (define @t603 () (_ @t602 @t16)) % 1.62/1.80 (define @t604 () (or @t444 @t603)) % 1.62/1.80 (define @t605 () (lambda @t385 @t604)) % 1.62/1.80 (define @t606 () (or @t591 @t583)) % 1.62/1.80 (define @t607 () (or @t279 @t606 @t593 @t592)) % 1.62/1.80 (define @t608 () (forall @t594 @t607)) % 1.62/1.80 (define @t609 () (@list @t580)) % 1.62/1.80 (define @t610 () (forall @t609 @t607)) % 1.62/1.80 (define @t611 () (forall @t609 @t606)) % 1.62/1.80 (define @t612 () (@var "BOUND_VARIABLE_64576" $$unsorted)) % 1.62/1.80 (define @t613 () (@list @t612)) % 1.62/1.80 (define @t614 () (or @t279 @t611 @t593 @t592)) % 1.62/1.80 (define @t615 () (tptp.true @t612)) % 1.62/1.80 (define @t616 () (@list @t612)) % 1.62/1.80 (define @t617 () (forall @t616 (or (not (tptp.rel_s4 @t1 @t612)) @t615))) % 1.62/1.80 (define @t618 () (or @t279 @t617 @t593 @t592)) % 1.62/1.80 (define @t619 () (or @t617 @t593 @t592)) % 1.62/1.80 (define @t620 () (forall @t6 (or @t388 @t277))) % 1.62/1.80 (define @t621 () (or @t620 @t394 @t484)) % 1.62/1.80 (define @t622 () (lambda @t385 @t621)) % 1.62/1.80 (define @t623 () (or @t279 (_ @t622 @t1))) % 1.62/1.80 (define @t624 () (forall @t6 @t623)) % 1.62/1.80 (define @t625 () (lambda @t221 @t624)) % 1.62/1.80 (define @t626 () (_ @t283 @t16)) % 1.62/1.80 (define @t627 () (or @t626 @t394 @t484)) % 1.62/1.80 (define @t628 () (lambda @t385 @t627)) % 1.62/1.80 (define @t629 () (or @t405 @t394 @t484)) % 1.62/1.80 (define @t630 () (or @t394 @t484)) % 1.62/1.80 (define @t631 () (not @t630)) % 1.62/1.80 (define @t632 () (lambda @t385 @t631)) % 1.62/1.80 (define @t633 () (_ @t632 @t16)) % 1.62/1.80 (define @t634 () (not @t633)) % 1.62/1.80 (define @t635 () (or @t634 @t405)) % 1.62/1.80 (define @t636 () (lambda @t406 @t635)) % 1.62/1.80 (define @t637 () (not (_ @t206 @t16))) % 1.62/1.80 (define @t638 () (or @t637 @t405)) % 1.62/1.80 (define @t639 () (lambda @t226 @t638)) % 1.62/1.80 (define @t640 () (lambda @t221 (forall @t6 (or @t279 @t482)))) % 1.62/1.80 (define @t641 () (_ @t640 @t16)) % 1.62/1.80 (define @t642 () (not @t641)) % 1.62/1.80 (define @t643 () (or @t394 @t642)) % 1.62/1.80 (define @t644 () (not @t643)) % 1.62/1.80 (define @t645 () (lambda @t385 @t644)) % 1.62/1.80 (define @t646 () (not @t405)) % 1.62/1.80 (define @t647 () (_ @t193 @t1)) % 1.62/1.80 (define @t648 () (or @t279 @t647)) % 1.62/1.80 (define @t649 () (_ @t193 @t1)) % 1.62/1.80 (define @t650 () (or @t279 @t649)) % 1.62/1.80 (define @t651 () (forall @t6 @t650)) % 1.62/1.80 (define @t652 () (lambda @t221 @t651)) % 1.62/1.80 (define @t653 () (_ @t289 @t193)) % 1.62/1.80 (define @t654 () (lambda @t221 (forall @t6 (or @t279 @t392)))) % 1.62/1.80 (define @t655 () (_ @t654 @t16)) % 1.62/1.80 (define @t656 () (not @t655)) % 1.62/1.80 (define @t657 () (or @t656 @t646)) % 1.62/1.80 (define @t658 () (not @t657)) % 1.62/1.80 (define @t659 () (lambda @t406 @t658)) % 1.62/1.80 (define @t660 () (not (or @t637 @t646))) % 1.62/1.80 (define @t661 () (lambda @t226 @t660)) % 1.62/1.80 (define @t662 () (_ @t196 @t1)) % 1.62/1.80 (define @t663 () (or @t279 @t662)) % 1.62/1.80 (define @t664 () (_ @t196 @t1)) % 1.62/1.80 (define @t665 () (or @t279 @t664)) % 1.62/1.80 (define @t666 () (forall @t6 @t665)) % 1.62/1.80 (define @t667 () (lambda @t221 @t666)) % 1.62/1.80 (define @t668 () (_ @t289 @t196)) % 1.62/1.80 (define @t669 () (lambda @t221 (forall @t6 (or @t279 @t442)))) % 1.62/1.80 (define @t670 () (_ @t669 @t16)) % 1.62/1.80 (define @t671 () (not @t670)) % 1.62/1.80 (define @t672 () (or @t671 @t405)) % 1.62/1.80 (define @t673 () (lambda @t406 @t672)) % 1.62/1.80 (define @t674 () (_ @t199 @t1)) % 1.62/1.80 (define @t675 () (or @t279 @t674)) % 1.62/1.80 (define @t676 () (_ @t199 @t1)) % 1.62/1.80 (define @t677 () (or @t279 @t676)) % 1.62/1.80 (define @t678 () (forall @t6 @t677)) % 1.62/1.80 (define @t679 () (lambda @t221 @t678)) % 1.62/1.80 (define @t680 () (_ @t289 @t199)) % 1.62/1.80 (define @t681 () (or @t487 @t484)) % 1.62/1.80 (define @t682 () (not @t681)) % 1.62/1.80 (define @t683 () (lambda @t385 @t682)) % 1.62/1.80 (define @t684 () (_ @t683 @t16)) % 1.62/1.80 (define @t685 () (not @t684)) % 1.62/1.80 (define @t686 () (or @t685 @t405)) % 1.62/1.80 (define @t687 () (lambda @t406 @t686)) % 1.62/1.80 (define @t688 () (or @t487 @t642)) % 1.62/1.80 (define @t689 () (not @t688)) % 1.62/1.80 (define @t690 () (lambda @t385 @t689)) % 1.62/1.80 (define @t691 () (lambda @t221 (forall @t6 (or @t279 @t485)))) % 1.62/1.80 (define @t692 () (_ @t691 @t16)) % 1.62/1.80 (define @t693 () (not @t692)) % 1.62/1.80 (define @t694 () (or @t693 @t646)) % 1.62/1.80 (define @t695 () (not @t694)) % 1.62/1.80 (define @t696 () (lambda @t406 @t695)) % 1.62/1.80 (define @t697 () (_ @t201 @t1)) % 1.62/1.80 (define @t698 () (or @t279 @t697)) % 1.62/1.80 (define @t699 () (_ @t201 @t1)) % 1.62/1.80 (define @t700 () (or @t279 @t699)) % 1.62/1.80 (define @t701 () (forall @t6 @t700)) % 1.62/1.80 (define @t702 () (lambda @t221 @t701)) % 1.62/1.80 (define @t703 () (_ @t289 @t201)) % 1.62/1.80 (define @t704 () (or @t656 @t405)) % 1.62/1.80 (define @t705 () (lambda @t406 @t704)) % 1.62/1.80 (define @t706 () (_ @t639 @t680)) % 1.62/1.80 (define @t707 () (not @t212)) % 1.62/1.80 (define @t708 () (or @t208 @t707)) % 1.62/1.80 (define @t709 () (lambda @t221 @t708)) % 1.62/1.80 (define @t710 () (_ @t709 @t7)) % 1.62/1.80 (define @t711 () (not @t710)) % 1.62/1.80 (define @t712 () (lambda @t221 @t711)) % 1.62/1.80 (define @t713 () (lambda @t221 @t707)) % 1.62/1.80 (define @t714 () (_ @t713 @t7)) % 1.62/1.80 (define @t715 () (or @t208 @t714)) % 1.62/1.80 (define @t716 () (lambda @t221 @t715)) % 1.62/1.80 (define @t717 () (or @t208 @t212)) % 1.62/1.80 (define @t718 () (@list @t211 @t7)) % 1.62/1.80 (define @t719 () (lambda @t718 @t717)) % 1.62/1.80 (define @t720 () (lambda @t221 @t208)) % 1.62/1.80 (define @t721 () (_ @t720 @t7)) % 1.62/1.80 (define @t722 () (or @t721 @t212)) % 1.62/1.80 (define @t723 () (lambda @t718 @t722)) % 1.62/1.80 (define @t724 () (lambda @t221 @t717)) % 1.62/1.80 (define @t725 () (@quantifiers_skolemize @t346 8)) % 1.62/1.80 (define @t726 () (tptp.true @t725)) % 1.62/1.80 (define @t727 () (@quantifiers_skolemize @t346 7)) % 1.62/1.80 (define @t728 () (tptp.rel_s4 @t727 @t725)) % 1.62/1.80 (define @t729 () (not @t728)) % 1.62/1.80 (define @t730 () (@quantifiers_skolemize @t346 6)) % 1.62/1.80 (define @t731 () (@quantifiers_skolemize @t346 5)) % 1.62/1.80 (define @t732 () (@quantifiers_skolemize @t346 4)) % 1.62/1.80 (define @t733 () (@quantifiers_skolemize @t346 3)) % 1.62/1.80 (define @t734 () (@quantifiers_skolemize @t346 2)) % 1.62/1.80 (define @t735 () (@quantifiers_skolemize @t346 1)) % 1.62/1.80 (define @t736 () (or (not (tptp.rel_s4 (@quantifiers_skolemize @t346 0) @t735)) (not (forall @t343 (or (not (tptp.rel_s4 @t735 @t341)) @t342))) (not (tptp.rel_s4 @t735 @t734)) (not (forall @t338 (or (not (tptp.rel_s4 @t734 @t336)) @t337))) (not (tptp.rel_s4 @t734 @t733)) (not (forall @t332 (or (not (tptp.rel_s4 @t733 @t330)) @t331))) (not (forall @t328 (or (not (tptp.rel_s4 @t733 @t326)) @t327))) (not (tptp.rel_s4 @t733 @t732)) (not (forall @t322 (or (not (tptp.rel_s4 @t732 @t320)) @t321))) (not (tptp.rel_s4 @t732 @t731)) (not (forall @t316 (or (not (tptp.rel_s4 @t731 @t314)) @t315))) (not (tptp.rel_s4 @t731 @t730)) (not (forall @t310 (or (not (tptp.rel_s4 @t730 @t307)) @t309))) (not (tptp.rel_s4 @t730 @t727)) (not (forall @t303 (or (not (tptp.rel_s4 @t727 @t300)) @t302))) (not (forall @t298 (or (not (tptp.rel_s4 @t727 @t295)) @t297))) @t729 @t726)) % 1.62/1.80 (define @t737 () (@list true)) % 1.62/1.80 (define @t738 () (@list @t736)) % 1.62/1.80 (define @t739 () (or @t729 @t726)) % 1.62/1.80 (define @t740 () (not @t739)) % 1.62/1.80 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 1.62/1.80 (assume @p2 (forall @t6 (exists @t5 @t4))) % 1.62/1.80 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 1.62/1.80 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 1.62/1.80 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 1.62/1.80 (assume @p6 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.uniform_int_rnd @t10) @t9)) @t1))) % 1.62/1.80 (assume @p7 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_const_array1 @t10) @t9)) @t1))) % 1.62/1.80 (assume @p8 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.dim @t10) @t9)) @t1))) % 1.62/1.80 (assume @p9 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.tptp_const_array2 @t12) @t10) @t9)) @t1))) % 1.62/1.80 (assume @p10 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.inv @t9)) @t1))) % 1.62/1.80 (assume @p11 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_msub @t10) @t9)) @t1))) % 1.62/1.80 (assume @p12 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.trans @t9)) @t1))) % 1.62/1.80 (assume @p13 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_mmul @t10) @t9)) @t1))) % 1.62/1.80 (assume @p14 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_madd @t10) @t9)) @t1))) % 1.62/1.80 (assume @p15 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.sum @t12) @t10) @t9)) @t1))) % 1.62/1.80 (assume @p16 (forall @t6 (_ (_ tptp.exists_in_world tptp.tptp_float_0_0) @t1))) % 1.62/1.80 (assume @p17 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.plus @t10) @t9)) @t1))) % 1.62/1.80 (assume @p18 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.pred @t9)) @t1))) % 1.62/1.80 (assume @p19 (forall (@list @t1 @t15 @t12 @t10 @t9) (_ (_ tptp.exists_in_world (_ (_ (_ (_ tptp.tptp_update3 @t15) @t12) @t10) @t9)) @t1))) % 1.62/1.80 (assume @p20 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.a_select3 @t12) @t10) @t9)) @t1))) % 1.62/1.80 (assume @p21 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.tptp_update2 @t12) @t10) @t9)) @t1))) % 1.62/1.80 (assume @p22 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.a_select2 @t10) @t9)) @t1))) % 1.62/1.80 (assume @p23 (forall @t6 (_ (_ tptp.exists_in_world tptp.use) @t1))) % 1.62/1.80 (assume @p24 (forall @t6 (_ (_ tptp.exists_in_world tptp.def) @t1))) % 1.62/1.80 (assume @p25 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.minus @t10) @t9)) @t1))) % 1.62/1.80 (assume @p26 (forall @t6 (_ (_ tptp.exists_in_world tptp.tptp_minus_1) @t1))) % 1.62/1.80 (assume @p27 (forall @t6 (_ (_ tptp.exists_in_world tptp.n999) @t1))) % 1.62/1.80 (assume @p28 (forall @t6 (_ (_ tptp.exists_in_world tptp.n4) @t1))) % 1.62/1.80 (assume @p29 (forall @t6 (_ (_ tptp.exists_in_world tptp.n5) @t1))) % 1.62/1.80 (assume @p30 (forall @t6 (_ (_ tptp.exists_in_world tptp.n6) @t1))) % 1.62/1.80 (assume @p31 (forall @t6 (_ (_ tptp.exists_in_world tptp.n1) @t1))) % 1.62/1.80 (assume @p32 (forall @t6 (_ (_ tptp.exists_in_world tptp.n2) @t1))) % 1.62/1.80 (assume @p33 (forall @t6 (_ (_ tptp.exists_in_world tptp.n3) @t1))) % 1.62/1.80 (assume @p34 (forall @t6 (_ (_ tptp.exists_in_world tptp.n0) @t1))) % 1.62/1.80 (assume @p35 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.succ @t9)) @t1))) % 1.62/1.80 (assume @p36 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ @t17 @t2)) @t16)))))) % 1.62/1.80 (assume @p37 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t21) (_ tptp.mbox_s4 (_ @t20 @t2)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p38 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t24 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand @t21) (_ tptp.mbox_s4 (_ @t20 @t23)))) (_ tptp.mbox_s4 (_ @t17 @t23)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p39 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.a_select2 @t27) @t25)) (_ (_ tptp.a_select2 @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p40 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t33 @t27)) (_ @t33 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p41 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t36 @t25) @t34)) (_ (_ @t35 @t25) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p42 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t38 @t27) @t34)) (_ (_ @t38 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p43 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t39 @t27)) (_ @t39 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p44 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.dim @t27) @t25)) (_ (_ tptp.dim @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p45 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t40 @t27)) (_ @t40 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p46 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t41) (_ tptp.inv @t26))))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p47 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.minus @t27) @t25)) (_ (_ tptp.minus @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p48 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t42 @t27)) (_ @t42 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p49 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus @t27) @t25)) (_ (_ tptp.plus @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p50 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t43 @t27)) (_ @t43 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p51 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.pred @t27)) (_ tptp.pred @t26))))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p52 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ @t27)) (_ tptp.succ @t26))))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p53 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ (_ tptp.sum @t27) @t25) @t34)) (_ (_ (_ tptp.sum @t26) @t25) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p54 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t44 @t27) @t34)) (_ (_ @t44 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p55 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t45 @t27)) (_ @t45 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p56 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.tptp_const_array1 @t27) @t25)) (_ (_ tptp.tptp_const_array1 @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p57 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t46 @t27)) (_ @t46 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p58 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ (_ tptp.tptp_const_array2 @t27) @t25) @t34)) (_ (_ (_ tptp.tptp_const_array2 @t26) @t25) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p59 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t47 @t27) @t34)) (_ (_ @t47 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p60 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t48 @t27)) (_ @t48 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p61 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t49 @t25)) (_ (_ tptp.tptp_madd @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p62 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t50 @t27)) (_ @t50 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p63 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t52 @t25)) (_ @t51 @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p64 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t53 @t27)) (_ @t53 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p65 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t54 @t25)) (_ (_ tptp.tptp_msub @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p66 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t55 @t27)) (_ @t55 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p67 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ (_ tptp.tptp_update2 @t27) @t25) @t34)) (_ (_ (_ tptp.tptp_update2 @t26) @t25) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p68 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t56 @t27) @t34)) (_ (_ @t56 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p69 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t57 @t27)) (_ @t57 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p70 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t60 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ (_ @t59 @t25) @t34) @t58)) (_ (_ (_ (_ tptp.tptp_update3 @t26) @t25) @t34) @t58))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p71 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t60 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ (_ @t61 @t27) @t34) @t58)) (_ (_ (_ @t61 @t26) @t34) @t58))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p72 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t60 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t62 @t27) @t58)) (_ (_ @t62 @t26) @t58))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p73 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t60 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t63 @t27)) (_ @t63 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p74 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t65) @t64)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p75 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.uniform_int_rnd @t27) @t25)) (_ (_ tptp.uniform_int_rnd @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p76 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t66 @t27)) (_ @t66 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p77 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ (_ tptp.geq @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.geq @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p78 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ @t68 @t27)))) (_ tptp.mbox_s4 (_ @t68 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p79 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ (_ tptp.gt @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.gt @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p80 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ @t69 @t27)))) (_ tptp.mbox_s4 (_ @t69 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p81 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ (_ tptp.leq @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.leq @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p82 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ @t70 @t27)))) (_ tptp.mbox_s4 (_ @t70 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p83 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ (_ tptp.lt @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.lt @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p84 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ @t71 @t27)))) (_ tptp.mbox_s4 (_ @t71 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p85 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mor @t75) (_ (_ tptp.mor @t73) @t21)) @t16)))) @t16)))))) % 1.62/1.80 (assume @p86 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t24 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand @t75) (_ tptp.mbox_s4 (_ @t72 @t23)))) (_ tptp.mbox_s4 (_ @t74 @t23)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p87 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t74 @t2)))) @t16)))))) % 1.62/1.80 (assume @p88 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ @t76 @t2)) @t16)))))) % 1.62/1.80 (assume @p89 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t24 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t79 (_ tptp.mbox_s4 (_ @t77 @t23)))) (_ tptp.mbox_s4 (_ @t76 @t23)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p90 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t80) @t73))) (_ tptp.mbox_s4 (_ @t81 @t80))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p91 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t82) @t83))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t83) @t82))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p92 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ @t81 @t78)) @t16)))) @t16)))))) % 1.62/1.80 (assume @p93 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t79 (_ tptp.mbox_s4 (_ tptp.mnot @t21)))) @t73)) @t16)))) @t16)))))) % 1.62/1.80 (assume @p94 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t84) @t73))) (_ tptp.mbox_s4 (_ @t81 @t84))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p95 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.gt @t85) @t2)) @t16)))))) % 1.62/1.80 (assume @p96 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ @t87 (_ tptp.mbox_s4 (_ @t76 @t86)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p97 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t87 @t88))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t88) @t78))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p98 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t92 (_ tptp.mbox_s4 (_ (_ tptp.leq @t89) @t2)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p99 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ @t92 (_ tptp.mbox_s4 (_ @t90 @t89)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p100 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t96 @t16) (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t100 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t99 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.leq @t96) @t94))) @t98)) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.a_select2 (_ (_ tptp.tptp_const_array1 (_ (_ tptp.dim @t96) @t95)) @t93)) @t94)) @t93)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p101 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t106 @t16) (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t105 @t16) (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t104 @t16) (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t103 @t16) (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t99 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.leq @t106) @t94))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t97 @t105))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.leq @t104) @t102))) (_ tptp.mbox_s4 (_ @t107 @t103)))))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ (_ tptp.a_select3 (_ (_ (_ tptp.tptp_const_array2 (_ (_ tptp.dim @t106) @t105)) (_ (_ tptp.dim @t104) @t103)) @t93)) @t94) @t102)) @t93)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p102 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ @t117 (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t109 @t94) @t102)) (_ (_ @t109 @t102) @t94))))) @t16)))) @t16)))))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p103 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ @t117 (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t119 @t94) @t102)) (_ (_ @t119 @t102) @t94))))) @t16)))) @t16)))))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p104 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ @t117 (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t121 @t16) (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t123 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t114 (_ @t113 (_ @t112 (_ (_ tptp.mand @t111) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t121))) (_ tptp.mbox_s4 (_ (_ tptp.leq @t121) @t110)))))))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t122 @t94) @t102)) (_ (_ @t122 @t102) @t94))))) @t16)))) @t16)))) @t16)))) @t16)))))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p105 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ @t128 (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t124 @t94) @t102)) (_ (_ @t124 @t102) @t94))))) @t16)))) @t16)))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p106 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ @t128 (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t129 @t94) @t102)) (_ (_ @t129 @t102) @t94))))) @t16)))) @t16)))))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p107 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t126) @t131)) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p108 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t134 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t133 @t125)) @t16)))) @t16))))) @t131)) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p109 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t32 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t31 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t30 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t60 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t135 @t16) (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t118 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t134 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t133 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t138 @t94) @t102)) (_ (_ @t138 @t102) @t94))))) @t16)))) @t16))))) (_ @t127 (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t137 @t94) @t102)) (_ (_ @t137 @t102) @t94))))) @t16)))) @t16))))))) (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ @t115 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t136 @t94) @t102)) (_ (_ @t136 @t102) @t94))))) @t16)))) @t16)))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p110 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t141 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t140) tptp.n0)) @t16)))))) % 1.62/1.80 (assume @p111 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t141 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq tptp.tptp_float_0_0) @t140)) @t16)))))) % 1.62/1.80 (assume @p112 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ tptp.tptp_minus_1)) tptp.n0)))) % 1.62/1.80 (assume @p113 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n1)) @t85)) @t16)))))) % 1.62/1.80 (assume @p114 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n1) @t2)) @t85)) @t16)))))) % 1.62/1.80 (assume @p115 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n2)) @t143)) @t16)))))) % 1.62/1.80 (assume @p116 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n2) @t2)) @t143)) @t16)))))) % 1.62/1.80 (assume @p117 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n3)) @t144)) @t16)))))) % 1.62/1.80 (assume @p118 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n3) @t2)) @t144)) @t16)))))) % 1.62/1.80 (assume @p119 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n4)) @t145)) @t16)))))) % 1.62/1.80 (assume @p120 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n4) @t2)) @t145)) @t16)))))) % 1.62/1.80 (assume @p121 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n5)) @t146)) @t16)))))) % 1.62/1.80 (assume @p122 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n5) @t2)) @t146)) @t16)))))) % 1.62/1.80 (assume @p123 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t148 tptp.n1)) @t147)) @t16)))))) % 1.62/1.80 (assume @p124 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.pred @t85)) @t2)) @t16)))))) % 1.62/1.80 (assume @p125 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ @t147)) @t2)) @t16)))))) % 1.62/1.80 (assume @p126 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t150) @t78))) (_ tptp.mbox_s4 (_ @t87 @t150))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p127 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ @t149 @t19))) @t73)) @t16)))) @t16)))))) % 1.62/1.80 (assume @p128 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ (_ tptp.leq (_ @t148 @t19)) @t2))) (_ tptp.mbox_s4 (_ @t90 @t19)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p129 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t100 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t154 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t123 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t153 @t95) @t151)) @t120)) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p130 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t100 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t154 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t123 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t158 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t157 (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t102) @t151))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t156 @t95) @t151)) @t120))))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ (_ tptp.a_select3 (_ (_ (_ @t152 @t94) @t102) @t155)) @t95) @t151)) @t120)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p131 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t108 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t100 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t154 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t123 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t163 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t159 @t16) (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t162 (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t159))) (_ (_ tptp.mand @t161) (_ tptp.mbox_s4 (_ (_ tptp.leq @t159) @t151)))))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t156 @t160) @t159)) @t120)))) @t16)))) @t16))))) (_ @t114 (_ (_ tptp.mand @t98) (_ @t112 (_ tptp.mbox_s4 (_ @t107 @t151))))))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t153 @t94) @t102)) @t120)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p132 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t100 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t123 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t165 @t95)) @t120)) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p133 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t100 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t123 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t158 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t157 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t166 @t95)) @t120)))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.a_select2 (_ (_ @t164 @t94) @t155)) @t95)) @t120)))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p134 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t101 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t100 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t123 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t163 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t162 @t161)) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t166 @t160)) @t120)))) @t16))))) (_ @t114 @t98))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t165 @t94)) @t120)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.62/1.80 (assume @p135 (_ tptp.mvalid @t167)) % 1.62/1.80 (assume @p136 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq tptp.def) tptp.use)))))) % 1.62/1.80 (assume @p137 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n4)))) % 1.62/1.80 (assume @p138 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n4)))) % 1.62/1.80 (assume @p139 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n4)))) % 1.62/1.80 (assume @p140 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n5)))) % 1.62/1.80 (assume @p141 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n5)))) % 1.62/1.80 (assume @p142 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n6)))) % 1.62/1.80 (assume @p143 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p144 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p145 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p146 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p147 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.gt tptp.n0) tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p148 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t172 tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p149 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t173 tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p150 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t174 tptp.tptp_minus_1)))) % 1.62/1.80 (assume @p151 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n0)))) % 1.62/1.80 (assume @p152 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n0)))) % 1.62/1.80 (assume @p153 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n0)))) % 1.62/1.80 (assume @p154 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n0)))) % 1.62/1.80 (assume @p155 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t172 tptp.n0)))) % 1.62/1.80 (assume @p156 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t173 tptp.n0)))) % 1.62/1.80 (assume @p157 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t174 tptp.n0)))) % 1.62/1.80 (assume @p158 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n1)))) % 1.62/1.80 (assume @p159 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n1)))) % 1.62/1.80 (assume @p160 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n1)))) % 1.62/1.80 (assume @p161 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n1)))) % 1.62/1.80 (assume @p162 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t173 tptp.n1)))) % 1.62/1.80 (assume @p163 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t174 tptp.n1)))) % 1.62/1.80 (assume @p164 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n2)))) % 1.62/1.80 (assume @p165 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n2)))) % 1.62/1.80 (assume @p166 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n2)))) % 1.62/1.80 (assume @p167 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n2)))) % 1.62/1.80 (assume @p168 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t174 tptp.n2)))) % 1.62/1.80 (assume @p169 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n3)))) % 1.62/1.80 (assume @p170 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n3)))) % 1.62/1.80 (assume @p171 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n3)))) % 1.62/1.80 (assume @p172 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n3)))) % 1.62/1.80 (assume @p173 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t184 (_ tptp.mbox_s4 (_ @t76 tptp.n4)))) (_ @t183 (_ @t181 (_ @t179 (_ @t177 @t175)))))) @t16)))))) % 1.62/1.80 (assume @p174 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t184 (_ tptp.mbox_s4 (_ @t76 tptp.n5)))) (_ @t183 (_ @t181 (_ @t179 (_ @t177 (_ @t186 @t185))))))) @t16)))))) % 1.62/1.80 (assume @p175 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t184 (_ tptp.mbox_s4 (_ @t76 tptp.n6)))) (_ @t183 (_ @t181 (_ @t179 (_ @t177 (_ @t186 (_ (_ tptp.mor @t185) (_ tptp.mbox_s4 (_ @t17 tptp.n6)))))))))) @t16)))))) % 1.62/1.80 (assume @p176 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t184 (_ tptp.mbox_s4 (_ @t76 tptp.n0)))) @t182)) @t16)))))) % 1.62/1.80 (assume @p177 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t184 (_ tptp.mbox_s4 (_ @t76 tptp.n1)))) (_ @t183 @t180))) @t16)))))) % 1.62/1.80 (assume @p178 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t184 (_ tptp.mbox_s4 (_ @t76 tptp.n2)))) (_ @t183 (_ @t181 @t178)))) @t16)))))) % 1.62/1.80 (assume @p179 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t184 (_ tptp.mbox_s4 (_ @t76 tptp.n3)))) (_ @t183 (_ @t181 (_ @t179 @t176))))) @t16)))))) % 1.62/1.80 (assume @p180 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t190) tptp.n4)))) % 1.62/1.80 (assume @p181 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t191) tptp.n5)))) % 1.62/1.80 (assume @p182 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ @t191)) tptp.n6)))) % 1.62/1.80 (assume @p183 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t187) tptp.n1)))) % 1.62/1.80 (assume @p184 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t188) tptp.n2)))) % 1.62/1.80 (assume @p185 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t189) tptp.n3)))) % 1.62/1.80 (assume @p186 @t202) % 1.62/1.80 (assume @p187 true) % 1.62/1.80 (step @p188 (= tptp.meq_prop @t205) :rule refl :args (@t205)) % 1.62/1.80 (step @p189 (= tptp.mnot @t210) :rule refl :args (@t210)) % 1.62/1.80 (step @p190 (= tptp.mor @t213) :rule refl :args (@t213)) % 1.62/1.80 (step @p191 (= tptp.mbox @t216) :rule refl :args (@t216)) % 1.62/1.80 (step @p192 (= tptp.mforall_prop @t220) :rule refl :args (@t220)) % 1.62/1.80 (step @p193 (= tptp.mtrue @t222) :rule refl :args (@t222)) % 1.62/1.80 (step @p194 (= tptp.mand @t227) :rule refl :args (@t227)) % 1.62/1.80 (step @p195 (= tptp.mimplies @t228) :rule refl :args (@t228)) % 1.62/1.80 (step @p196 (= tptp.mimplied @t229) :rule refl :args (@t229)) % 1.62/1.80 (step @p197 (= tptp.mequiv @t230) :rule refl :args (@t230)) % 1.62/1.80 (step @p198 (= tptp.mxor @t231) :rule refl :args (@t231)) % 1.62/1.80 (step @p199 (= tptp.mdia @t232) :rule refl :args (@t232)) % 1.62/1.80 (step @p200 (= tptp.mforall_ind @t235) :rule refl :args (@t235)) % 1.62/1.80 (step @p201 (= tptp.mexists_ind @t236) :rule refl :args (@t236)) % 1.62/1.80 (step @p202 (= tptp.mexists_prop @t237) :rule refl :args (@t237)) % 1.62/1.80 (step @p203 (= tptp.mreflexive @t242) :rule refl :args (@t242)) % 1.62/1.80 (step @p204 (= tptp.msymmetric @t246) :rule refl :args (@t246)) % 1.62/1.80 (step @p205 (= tptp.mserial @t248) :rule refl :args (@t248)) % 1.62/1.80 (step @p206 (= tptp.mtransitive @t253) :rule refl :args (@t253)) % 1.62/1.80 (step @p207 (= tptp.meuclidean @t255) :rule refl :args (@t255)) % 1.62/1.80 (step @p208 (= tptp.mpartially_functional @t257) :rule refl :args (@t257)) % 1.62/1.80 (step @p209 (= tptp.mfunctional @t259) :rule refl :args (@t259)) % 1.62/1.80 (step @p210 (= tptp.mweakly_dense @t262) :rule refl :args (@t262)) % 1.62/1.80 (step @p211 (= tptp.mweakly_connected @t263) :rule refl :args (@t263)) % 1.62/1.80 (step @p212 (= tptp.mweakly_directed @t264) :rule refl :args (@t264)) % 1.62/1.80 (step @p213 (= tptp.mvalid @t267) :rule refl :args (@t267)) % 1.62/1.80 (step @p214 (= tptp.msatisfiable @t268) :rule refl :args (@t268)) % 1.62/1.80 (step @p215 (= tptp.mcountersatisfiable @t269) :rule refl :args (@t269)) % 1.62/1.80 (step @p216 (= tptp.minvalid @t270) :rule refl :args (@t270)) % 1.62/1.80 (step @p217 (= tptp.mbox_s4 @t275) :rule refl :args (@t275)) % 1.62/1.80 (step @p218 (= tptp.mdia_s4 @t276) :rule refl :args (@t276)) % 1.62/1.80 (step @p219 :rule quant-merge-prenex :args ((= (forall @t221 @t282) @t281))) % 1.62/1.80 (step @p220 :rule beta-reduce :args ((= @t284 @t282))) % 1.62/1.80 (step @p221 :rule cong :premises (@p220) :args (@t285)) % 1.62/1.80 (step @p222 :rule trans :premises (@p221 @p219)) % 1.62/1.80 (step @p223 :rule beta-reduce :args ((= (_ @t287 @t283) @t285))) % 1.62/1.80 (step @p224 :rule trans :premises (@p223 @p222)) % 1.62/1.80 (step @p225 :rule beta-reduce :args ((= @t290 @t283))) % 1.62/1.80 (step @p226 :rule refl :args (@t287)) % 1.62/1.80 (step @p227 :rule ho_cong :premises (@p226 @p225)) % 1.62/1.80 (step @p228 :rule trans :premises (@p227 @p224)) % 1.62/1.80 (step @p229 :rule refl :args (tptp.true)) % 1.62/1.80 (step @p230 :rule refl :args (@t288)) % 1.62/1.80 (step @p231 :rule refl :args (@t214)) % 1.62/1.80 (step @p232 :rule cong :premises (@p231 @p230) :args ((= @t214 @t288))) % 1.62/1.80 (step @p233 :rule symm :premises (@p232)) % 1.62/1.80 (step @p234 :rule eq_resolve :premises (@p231 @p233)) % 1.62/1.80 (step @p235 :rule refl :args (@t278)) % 1.62/1.80 (step @p236 :rule refl :args (@t271)) % 1.62/1.80 (step @p237 :rule cong :premises (@p236 @p235) :args ((= @t271 @t278))) % 1.62/1.80 (step @p238 :rule symm :premises (@p237)) % 1.62/1.80 (step @p239 :rule eq_resolve :premises (@p236 @p238)) % 1.62/1.80 (step @p240 :rule cong :premises (@p239) :args (@t272)) % 1.62/1.80 (step @p241 :rule nary_cong :premises (@p240 @p234) :args (@t273)) % 1.62/1.80 (step @p242 :rule cong :premises (@p241) :args (@t274)) % 1.62/1.80 (step @p243 :rule cong :premises (@p242) :args (@t275)) % 1.62/1.80 (step @p244 :rule trans :premises (@p217 @p243)) % 1.62/1.80 (step @p245 :rule ho_cong :premises (@p244 @p229)) % 1.62/1.80 (step @p246 :rule refl :args (@t286)) % 1.62/1.80 (step @p247 :rule refl :args (@t207)) % 1.62/1.80 (step @p248 :rule cong :premises (@p247 @p246) :args ((= @t207 @t286))) % 1.62/1.80 (step @p249 :rule symm :premises (@p248)) % 1.62/1.80 (step @p250 :rule eq_resolve :premises (@p247 @p249)) % 1.62/1.80 (step @p251 :rule cong :premises (@p250) :args (@t265)) % 1.62/1.80 (step @p252 :rule cong :premises (@p251) :args (@t267)) % 1.62/1.80 (step @p253 :rule trans :premises (@p213 @p252)) % 1.62/1.80 (step @p254 :rule ho_cong :premises (@p253 @p245)) % 1.62/1.80 (step @p255 :rule trans :premises (@p254 @p228)) % 1.62/1.80 (step @p256 :rule eq_resolve :premises (@p135 @p255)) % 1.62/1.80 (step @p257 :rule quant-merge-prenex :args ((= (forall @t221 @t348) @t346))) % 1.62/1.80 (step @p258 :rule beta-reduce :args ((= @t350 @t348))) % 1.62/1.80 (step @p259 :rule cong :premises (@p258) :args (@t351)) % 1.62/1.80 (step @p260 :rule trans :premises (@p259 @p257)) % 1.62/1.80 (step @p261 :rule beta-reduce :args ((= (_ @t287 @t349) @t351))) % 1.62/1.80 (step @p262 :rule trans :premises (@p261 @p260)) % 1.62/1.80 (step @p263 :rule aci_norm :args ((= @t353 @t345))) % 1.62/1.80 (step @p264 :rule cong :premises (@p263) :args (@t354)) % 1.62/1.80 (step @p265 :rule quant-merge-prenex :args ((= (forall @t6 @t356) @t354))) % 1.62/1.80 (step @p266 :rule alpha_equiv :args (@t357 (@list @t334 @t324 @t318 @t312 @t305 @t293 @t291) (@list @t364 @t363 @t362 @t361 @t360 @t359 @t358))) % 1.62/1.80 (step @p267 :rule refl :args (@t344)) % 1.62/1.80 (step @p268 :rule refl :args (@t279)) % 1.62/1.80 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266) :args (@t365)) % 1.62/1.80 (step @p270 :rule quant-miniscope-or :args ((= @t356 @t365))) % 1.62/1.80 (step @p271 :rule trans :premises (@p270 @p269)) % 1.62/1.80 (step @p272 :rule symm :premises (@p271)) % 1.62/1.80 (step @p273 :rule cong :premises (@p272) :args ((forall @t6 @t383))) % 1.62/1.80 (step @p274 :rule trans :premises (@p273 @p265)) % 1.62/1.80 (step @p275 :rule trans :premises (@p274 @p264)) % 1.62/1.80 (step @p276 :rule aci_norm :args ((= (or @t279 @t384) @t383))) % 1.62/1.80 (step @p277 :rule beta-reduce :args ((= (_ (lambda @t385 (or (not (forall @t343 (or (not (tptp.rel_s4 @t16 @t341)) @t342))) (forall @t381 (or (not (tptp.rel_s4 @t16 @t364)) @t380 @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t371 @t370 @t369 @t368 @t367 @t366)))) @t1) @t384))) % 1.62/1.80 (step @p278 :rule refl :args (@t1)) % 1.62/1.80 (step @p279 :rule alpha_equiv :args (@t390 @t391 (@list @t364))) % 1.62/1.80 (step @p280 :rule alpha_equiv :args (@t393 @t391 (@list @t341))) % 1.62/1.80 (step @p281 :rule cong :premises (@p280) :args (@t394)) % 1.62/1.80 (step @p282 :rule nary_cong :premises (@p281 @p279) :args (@t395)) % 1.62/1.80 (step @p283 :rule cong :premises (@p282) :args (@t396)) % 1.62/1.80 (step @p284 :rule ho_cong :premises (@p283 @p278)) % 1.62/1.80 (step @p285 :rule trans :premises (@p284 @p277)) % 1.62/1.80 (step @p286 :rule refl :args (@t279)) % 1.62/1.80 (step @p287 :rule nary_cong :premises (@p286 @p285) :args (@t397)) % 1.62/1.80 (step @p288 :rule trans :premises (@p287 @p276)) % 1.62/1.80 (step @p289 :rule cong :premises (@p288) :args (@t398)) % 1.62/1.80 (step @p290 :rule trans :premises (@p289 @p275)) % 1.62/1.80 (step @p291 :rule cong :premises (@p290) :args (@t399)) % 1.62/1.80 (step @p292 :rule beta-reduce :args ((= (_ @t289 @t396) @t399))) % 1.62/1.80 (step @p293 :rule trans :premises (@p292 @p291)) % 1.62/1.80 (step @p294 :rule beta-reduce :args ((= @t402 @t390))) % 1.62/1.80 (step @p295 :rule refl :args (@t394)) % 1.62/1.80 (step @p296 :rule nary_cong :premises (@p295 @p294) :args (@t403)) % 1.62/1.80 (step @p297 :rule cong :premises (@p296) :args (@t404)) % 1.62/1.80 (step @p298 :rule beta-reduce :args ((= (_ (lambda @t406 (or @t394 @t405)) @t401) @t404))) % 1.62/1.80 (step @p299 :rule trans :premises (@p298 @p297)) % 1.62/1.80 (step @p300 :rule aci_norm :args ((= @t408 @t400))) % 1.62/1.80 (step @p301 :rule cong :premises (@p300) :args (@t409)) % 1.62/1.80 (step @p302 :rule quant-merge-prenex :args ((= (forall @t6 @t411) @t409))) % 1.62/1.80 (step @p303 :rule alpha_equiv :args (@t412 (@list @t363 @t362 @t361 @t360 @t359 @t358) (@list @t418 @t417 @t416 @t415 @t414 @t413))) % 1.62/1.80 (step @p304 :rule refl :args (@t387)) % 1.62/1.80 (step @p305 :rule nary_cong :premises (@p268 @p304 @p303) :args (@t419)) % 1.62/1.80 (step @p306 :rule quant-miniscope-or :args ((= @t411 @t419))) % 1.62/1.80 (step @p307 :rule trans :premises (@p306 @p305)) % 1.62/1.80 (step @p308 :rule symm :premises (@p307)) % 1.62/1.80 (step @p309 :rule cong :premises (@p308) :args ((forall @t6 @t435))) % 1.62/1.80 (step @p310 :rule trans :premises (@p309 @p302)) % 1.62/1.80 (step @p311 :rule trans :premises (@p310 @p301)) % 1.62/1.80 (step @p312 :rule aci_norm :args ((= (or @t279 @t436) @t435))) % 1.62/1.80 (step @p313 :rule beta-reduce :args ((= (_ (lambda @t385 (or (not (forall @t338 (or (not (tptp.rel_s4 @t16 @t336)) @t337))) (forall @t433 (or (not (tptp.rel_s4 @t16 @t418)) @t432 @t431 @t430 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420)))) @t1) @t436))) % 1.62/1.80 (step @p314 :rule alpha_equiv :args (@t441 @t391 (@list @t418))) % 1.62/1.80 (step @p315 :rule alpha_equiv :args (@t443 @t391 (@list @t336))) % 1.62/1.80 (step @p316 :rule cong :premises (@p315) :args (@t444)) % 1.62/1.80 (step @p317 :rule nary_cong :premises (@p316 @p314) :args (@t445)) % 1.62/1.80 (step @p318 :rule cong :premises (@p317) :args (@t446)) % 1.62/1.80 (step @p319 :rule ho_cong :premises (@p318 @p278)) % 1.62/1.80 (step @p320 :rule trans :premises (@p319 @p313)) % 1.62/1.80 (step @p321 :rule nary_cong :premises (@p286 @p320) :args (@t447)) % 1.62/1.80 (step @p322 :rule trans :premises (@p321 @p312)) % 1.62/1.80 (step @p323 :rule cong :premises (@p322) :args (@t448)) % 1.62/1.80 (step @p324 :rule trans :premises (@p323 @p311)) % 1.62/1.80 (step @p325 :rule cong :premises (@p324) :args (@t449)) % 1.62/1.80 (step @p326 :rule beta-reduce :args ((= (_ @t289 @t446) @t449))) % 1.62/1.80 (step @p327 :rule trans :premises (@p326 @p325)) % 1.62/1.80 (step @p328 :rule beta-reduce :args ((= @t452 @t441))) % 1.62/1.80 (step @p329 :rule refl :args (@t444)) % 1.62/1.80 (step @p330 :rule nary_cong :premises (@p329 @p328) :args (@t453)) % 1.62/1.80 (step @p331 :rule cong :premises (@p330) :args (@t454)) % 1.62/1.80 (step @p332 :rule beta-reduce :args ((= (_ @t455 @t451) @t454))) % 1.62/1.80 (step @p333 :rule trans :premises (@p332 @p331)) % 1.62/1.80 (step @p334 :rule aci_norm :args ((= @t457 @t450))) % 1.62/1.80 (step @p335 :rule cong :premises (@p334) :args (@t458)) % 1.62/1.80 (step @p336 :rule quant-merge-prenex :args ((= (forall @t6 @t460) @t458))) % 1.62/1.80 (step @p337 :rule refl :args (@t438)) % 1.62/1.80 (step @p338 :rule refl :args (@t439)) % 1.62/1.80 (step @p339 :rule alpha_equiv :args (@t461 (@list @t417 @t416 @t415 @t414 @t413) (@list @t466 @t465 @t464 @t463 @t462))) % 1.62/1.80 (step @p340 :rule nary_cong :premises (@p268 @p339 @p338 @p337) :args (@t467)) % 1.62/1.80 (step @p341 :rule quant-miniscope-or :args ((= @t460 @t467))) % 1.62/1.80 (step @p342 :rule trans :premises (@p341 @p340)) % 1.62/1.80 (step @p343 :rule symm :premises (@p342)) % 1.62/1.80 (step @p344 :rule cong :premises (@p343) :args ((forall @t6 @t480))) % 1.62/1.80 (step @p345 :rule trans :premises (@p344 @p336)) % 1.62/1.80 (step @p346 :rule trans :premises (@p345 @p335)) % 1.62/1.80 (step @p347 :rule aci_norm :args ((= (or @t279 @t481) @t480))) % 1.62/1.80 (step @p348 :rule beta-reduce :args ((= (_ (lambda @t385 (or (forall @t478 (or (not (tptp.rel_s4 @t16 @t466)) @t477 @t476 @t475 @t474 @t473 @t472 @t471 @t470 @t469 @t468)) (not (forall @t332 (or (not (tptp.rel_s4 @t16 @t330)) @t331))) (not (forall @t328 (or (not (tptp.rel_s4 @t16 @t326)) @t327))))) @t1) @t481))) % 1.62/1.80 (step @p349 :rule alpha_equiv :args (@t483 @t391 (@list @t326))) % 1.62/1.80 (step @p350 :rule cong :premises (@p349) :args (@t484)) % 1.62/1.80 (step @p351 :rule alpha_equiv :args (@t486 @t391 (@list @t330))) % 1.62/1.80 (step @p352 :rule cong :premises (@p351) :args (@t487)) % 1.62/1.80 (step @p353 :rule alpha_equiv :args (@t491 @t391 (@list @t466))) % 1.62/1.80 (step @p354 :rule nary_cong :premises (@p353 @p352 @p350) :args (@t492)) % 1.62/1.80 (step @p355 :rule cong :premises (@p354) :args (@t493)) % 1.62/1.80 (step @p356 :rule ho_cong :premises (@p355 @p278)) % 1.62/1.80 (step @p357 :rule trans :premises (@p356 @p348)) % 1.62/1.80 (step @p358 :rule nary_cong :premises (@p286 @p357) :args (@t494)) % 1.62/1.80 (step @p359 :rule trans :premises (@p358 @p347)) % 1.62/1.80 (step @p360 :rule cong :premises (@p359) :args (@t495)) % 1.62/1.80 (step @p361 :rule trans :premises (@p360 @p346)) % 1.62/1.80 (step @p362 :rule cong :premises (@p361) :args (@t496)) % 1.62/1.80 (step @p363 :rule beta-reduce :args ((= (_ @t289 @t493) @t496))) % 1.62/1.80 (step @p364 :rule trans :premises (@p363 @p362)) % 1.62/1.80 (step @p365 :rule refl :args (@t484)) % 1.62/1.80 (step @p366 :rule refl :args (@t487)) % 1.62/1.80 (step @p367 :rule beta-reduce :args ((= @t499 @t491))) % 1.62/1.80 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365) :args (@t500)) % 1.62/1.80 (step @p369 :rule cong :premises (@p368) :args (@t501)) % 1.62/1.80 (step @p370 :rule beta-reduce :args ((= (_ (lambda @t406 @t502) @t498) @t501))) % 1.62/1.80 (step @p371 :rule trans :premises (@p370 @p369)) % 1.62/1.80 (step @p372 :rule aci_norm :args ((= @t504 @t497))) % 1.62/1.80 (step @p373 :rule cong :premises (@p372) :args (@t505)) % 1.62/1.80 (step @p374 :rule quant-merge-prenex :args ((= (forall @t6 @t507) @t505))) % 1.62/1.80 (step @p375 :rule alpha_equiv :args (@t508 (@list @t465 @t464 @t463 @t462) (@list @t512 @t511 @t510 @t509))) % 1.62/1.80 (step @p376 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:rule trans :premises (@p599 @p506)) % 1.62/1.80 (step @p601 :rule refl :args (@t289)) % 1.62/1.80 (step @p602 :rule ho_cong :premises (@p601 @p600)) % 1.62/1.80 (step @p603 :rule trans :premises (@p602 @p501)) % 1.62/1.80 (step @p604 :rule beta-reduce :args ((= @t670 @t443))) % 1.62/1.80 (step @p605 :rule cong :premises (@p604) :args (@t671)) % 1.62/1.80 (step @p606 :rule nary_cong :premises (@p605 @p508) :args (@t672)) % 1.62/1.80 (step @p607 :rule cong :premises (@p606) :args (@t673)) % 1.62/1.80 (step @p608 :rule beta-reduce :args ((= (_ @t639 @t669) @t673))) % 1.62/1.80 (step @p609 :rule trans :premises (@p608 @p607)) % 1.62/1.80 (step @p610 :rule refl :args ((tptp.geq @t198 tptp.n0 @t1))) % 1.62/1.80 (step @p611 :rule refl :args (@t308)) % 1.62/1.80 (step @p612 :rule cong :premises (@p611 @p526 @p278) :args (@t442)) % 1.62/1.80 (step @p613 :rule trans :premises (@p612 @p610)) % 1.62/1.80 (step @p614 :rule ho_cong :premises (@p530 @p611)) % 1.62/1.80 (step @p615 :rule ho_cong :premises (@p614 @p526)) % 1.62/1.80 (step @p616 :rule ho_cong :premises (@p615 @p278)) % 1.62/1.80 (step @p617 :rule cong :premises (@p616 @p613) :args ((= (_ (_ (_ tptp.geq @t308) tptp.n0) @t1) @t442))) % 1.62/1.80 (step @p618 :rule symm :premises (@p617)) % 1.62/1.80 (step @p619 :rule refl :args (@t674)) % 1.62/1.80 (step @p620 :rule eq_resolve :premises (@p619 @p618)) % 1.62/1.80 (step @p621 :rule refl :args (@t198)) % 1.62/1.80 (step @p622 :rule cong :premises (@p621 @p611) :args ((= @t198 @t308))) % 1.62/1.80 (step @p623 :rule symm :premises (@p622)) % 1.62/1.80 (step @p624 :rule eq_resolve :premises (@p621 @p623)) % 1.62/1.80 (step @p625 :rule ho_cong :premises (@p530 @p624)) % 1.62/1.80 (step @p626 :rule ho_cong :premises (@p625 @p526)) % 1.62/1.80 (step @p627 :rule ho_cong :premises (@p626 @p278)) % 1.62/1.80 (step @p628 :rule trans :premises (@p627 @p620)) % 1.62/1.80 (step @p629 :rule nary_cong :premises (@p268 @p628) :args (@t675)) % 1.62/1.80 (step @p630 :rule cong :premises (@p629) :args ((forall @t6 @t675))) % 1.62/1.80 (step @p631 :rule refl :args (@t676)) % 1.62/1.80 (step @p632 :rule nary_cong :premises (@p286 @p631) :args (@t677)) % 1.62/1.80 (step @p633 :rule cong :premises (@p632) :args (@t678)) % 1.62/1.80 (step @p634 :rule trans :premises (@p633 @p630)) % 1.62/1.80 (step @p635 :rule cong :premises (@p634) :args (@t679)) % 1.62/1.80 (step @p636 :rule beta-reduce :args ((= @t680 @t679))) % 1.62/1.80 (step @p637 :rule trans :premises (@p636 @p635)) % 1.62/1.80 (step @p638 :rule ho_cong :premises (@p596 @p637)) % 1.62/1.80 (step @p639 :rule trans :premises (@p638 @p609)) % 1.62/1.80 (step @p640 :rule ho_cong :premises (@p639 @p603)) % 1.62/1.80 (step @p641 :rule trans :premises (@p640 @p470)) % 1.62/1.80 (step @p642 :rule ho_cong :premises (@p601 @p641)) % 1.62/1.80 (step @p643 :rule trans :premises (@p642 @p465)) % 1.62/1.80 (step @p644 :rule ho_cong :premises (@p639 @p643)) % 1.62/1.80 (step @p645 :rule trans :premises (@p644 @p437)) % 1.62/1.80 (step @p646 :rule ho_cong :premises (@p601 @p645)) % 1.62/1.80 (step @p647 :rule trans :premises (@p646 @p432)) % 1.62/1.80 (step @p648 :rule ho_cong :premises (@p639 @p647)) % 1.62/1.80 (step @p649 :rule trans :premises (@p648 @p404)) % 1.62/1.80 (step @p650 :rule ho_cong :premises (@p601 @p649)) % 1.62/1.80 (step @p651 :rule trans :premises (@p650 @p399)) % 1.62/1.80 (step @p652 :rule aci_norm :args ((= (or @t681 @t405) @t502))) % 1.62/1.80 (step @p653 :rule bool-double-not-elim :args (@t681)) % 1.62/1.80 (step @p654 :rule beta-reduce :args ((= @t684 @t682))) % 1.62/1.80 (step @p655 :rule cong :premises (@p654) :args (@t685)) % 1.62/1.80 (step @p656 :rule trans :premises (@p655 @p653)) % 1.62/1.80 (step @p657 :rule nary_cong :premises (@p656 @p508) :args (@t686)) % 1.62/1.80 (step @p658 :rule trans :premises (@p657 @p652)) % 1.62/1.80 (step @p659 :rule cong :premises (@p658) :args (@t687)) % 1.62/1.80 (step @p660 :rule beta-reduce :args ((= (_ @t639 @t683) @t687))) % 1.62/1.80 (step @p661 :rule trans :premises (@p660 @p659)) % 1.62/1.80 (step @p662 :rule nary_cong :premises (@p366 @p519) :args (@t688)) % 1.62/1.80 (step @p663 :rule cong :premises (@p662) :args (@t689)) % 1.62/1.80 (step @p664 :rule cong :premises (@p663) :args (@t690)) % 1.62/1.80 (step @p665 :rule beta-reduce :args ((= (_ (lambda @t406 (not (or @t487 @t646))) @t640) @t690))) % 1.62/1.80 (step @p666 :rule trans :premises (@p665 @p664)) % 1.62/1.80 (step @p667 :rule beta-reduce :args ((= @t692 @t486))) % 1.62/1.80 (step @p668 :rule cong :premises (@p667) :args (@t693)) % 1.62/1.80 (step @p669 :rule nary_cong :premises (@p668 @p555) :args (@t694)) % 1.62/1.80 (step @p670 :rule cong :premises (@p669) :args (@t695)) % 1.62/1.80 (step @p671 :rule cong :premises (@p670) :args (@t696)) % 1.62/1.80 (step @p672 :rule beta-reduce :args ((= (_ @t661 @t691) @t696))) % 1.62/1.80 (step @p673 :rule trans :premises (@p672 @p671)) % 1.62/1.80 (step @p674 :rule refl :args (@t485)) % 1.62/1.80 (step @p675 :rule refl :args (@t697)) % 1.62/1.80 (step @p676 :rule cong :premises (@p675 @p674) :args ((= @t697 @t485))) % 1.62/1.80 (step @p677 :rule symm :premises (@p676)) % 1.62/1.80 (step @p678 :rule eq_resolve :premises (@p675 @p677)) % 1.62/1.80 (step @p679 :rule nary_cong :premises (@p268 @p678) :args (@t698)) % 1.62/1.80 (step @p680 :rule cong :premises (@p679) :args ((forall @t6 @t698))) % 1.62/1.80 (step @p681 :rule refl :args (@t699)) % 1.62/1.80 (step @p682 :rule nary_cong :premises (@p286 @p681) :args (@t700)) % 1.62/1.80 (step @p683 :rule cong :premises (@p682) :args (@t701)) % 1.62/1.80 (step @p684 :rule trans :premises (@p683 @p680)) % 1.62/1.80 (step @p685 :rule cong :premises (@p684) :args (@t702)) % 1.62/1.80 (step @p686 :rule beta-reduce :args ((= @t703 @t702))) % 1.62/1.80 (step @p687 :rule trans :premises (@p686 @p685)) % 1.62/1.80 (step @p688 :rule ho_cong :premises (@p591 @p687)) % 1.62/1.80 (step @p689 :rule trans :premises (@p688 @p673)) % 1.62/1.80 (step @p690 :rule ho_cong :premises (@p689 @p554)) % 1.62/1.80 (step @p691 :rule trans :premises (@p690 @p666)) % 1.62/1.80 (step @p692 :rule ho_cong :premises (@p596 @p691)) % 1.62/1.80 (step @p693 :rule trans :premises (@p692 @p661)) % 1.62/1.80 (step @p694 :rule ho_cong :premises (@p693 @p651)) % 1.62/1.80 (step @p695 :rule trans :premises (@p694 @p371)) % 1.62/1.80 (step @p696 :rule ho_cong :premises (@p601 @p695)) % 1.62/1.80 (step @p697 :rule trans :premises (@p696 @p364)) % 1.62/1.80 (step @p698 :rule ho_cong :premises (@p639 @p697)) % 1.62/1.80 (step @p699 :rule trans :premises (@p698 @p333)) % 1.62/1.80 (step @p700 :rule ho_cong :premises (@p601 @p699)) % 1.62/1.80 (step @p701 :rule trans :premises (@p700 @p327)) % 1.62/1.80 (step @p702 :rule nary_cong :premises (@p557 @p508) :args (@t704)) % 1.62/1.80 (step @p703 :rule cong :premises (@p702) :args (@t705)) % 1.62/1.80 (step @p704 :rule beta-reduce :args ((= (_ @t639 @t654) @t705))) % 1.62/1.80 (step @p705 :rule trans :premises (@p704 @p703)) % 1.62/1.80 (step @p706 :rule ho_cong :premises (@p596 @p590)) % 1.62/1.80 (step @p707 :rule trans :premises (@p706 @p705)) % 1.62/1.80 (step @p708 :rule ho_cong :premises (@p707 @p701)) % 1.62/1.80 (step @p709 :rule trans :premises (@p708 @p299)) % 1.62/1.80 (step @p710 :rule ho_cong :premises (@p601 @p709)) % 1.62/1.80 (step @p711 :rule trans :premises (@p710 @p293)) % 1.62/1.80 (step @p712 :rule ho_cong :premises (@p226 @p711)) % 1.62/1.80 (step @p713 :rule trans :premises (@p712 @p262)) % 1.62/1.80 (step @p714 :rule cong :premises (@p713) :args ((not (_ @t287 (_ @t289 (_ (_ @t639 @t668) (_ @t289 (_ @t706 (_ @t289 (_ (_ @t639 (_ (_ @t661 @t703) @t653)) (_ @t289 (_ @t706 (_ @t289 (_ @t706 (_ @t289 (_ @t706 (_ @t289 (_ (_ @t639 (_ (_ @t661 @t668) @t653)) @t290)))))))))))))))))) % 1.62/1.80 (step @p715 :rule refl :args (@t193)) % 1.62/1.80 (step @p716 :rule ho_cong :premises (@p244 @p715)) % 1.62/1.80 (step @p717 :rule refl :args (@t196)) % 1.62/1.80 (step @p718 :rule ho_cong :premises (@p244 @p717)) % 1.62/1.80 (step @p719 :rule beta-reduce :args ((= (_ (lambda @t221 (not @t708)) @t16) @t660))) % 1.62/1.80 (step @p720 :rule refl :args (@t16)) % 1.62/1.80 (step @p721 :rule beta-reduce :args ((= @t710 @t708))) % 1.62/1.80 (step @p722 :rule cong :premises (@p721) :args (@t711)) % 1.62/1.80 (step @p723 :rule cong :premises (@p722) :args (@t712)) % 1.62/1.80 (step @p724 :rule beta-reduce :args ((= (_ @t210 @t709) @t712))) % 1.62/1.80 (step @p725 :rule trans :premises (@p724 @p723)) % 1.62/1.80 (step @p726 :rule beta-reduce :args ((= @t714 @t707))) % 1.62/1.80 (step @p727 :rule refl :args (@t208)) % 1.62/1.80 (step @p728 :rule nary_cong :premises (@p727 @p726) :args (@t715)) % 1.62/1.80 (step @p729 :rule cong :premises (@p728) :args (@t716)) % 1.62/1.80 (step @p730 :rule beta-reduce :args ((= (_ @t719 @t713) @t716))) % 1.62/1.80 (step @p731 :rule trans :premises (@p730 @p729)) % 1.62/1.80 (step @p732 :rule beta-reduce :args ((= (_ @t210 @t211) @t713))) % 1.62/1.80 (step @p733 :rule refl :args (@t212)) % 1.62/1.80 (step @p734 :rule beta-reduce :args ((= @t721 @t208))) % 1.62/1.80 (step @p735 :rule nary_cong :premises (@p734 @p733) :args (@t722)) % 1.62/1.80 (step @p736 :rule cong :premises (@p735) :args (@t723)) % 1.62/1.80 (step @p737 :rule beta-reduce :args ((= (_ @t213 @t720) @t723))) % 1.62/1.80 (step @p738 :rule trans :premises (@p737 @p736)) % 1.62/1.80 (step @p739 :rule beta-reduce :args ((= (_ @t210 @t206) @t720))) % 1.62/1.80 (step @p740 :rule refl :args (@t213)) % 1.62/1.80 (step @p741 :rule ho_cong :premises (@p740 @p739)) % 1.62/1.80 (step @p742 :rule trans :premises (@p741 @p738)) % 1.62/1.80 (step @p743 :rule ho_cong :premises (@p742 @p732)) % 1.62/1.80 (step @p744 :rule trans :premises (@p743 @p731)) % 1.62/1.80 (step @p745 :rule refl :args (@t210)) % 1.62/1.80 (step @p746 :rule ho_cong :premises (@p745 @p744)) % 1.62/1.80 (step @p747 :rule trans :premises (@p746 @p725)) % 1.62/1.80 (step @p748 :rule ho_cong :premises (@p747 @p720)) % 1.62/1.80 (step @p749 :rule trans :premises (@p748 @p719)) % 1.62/1.80 (step @p750 :rule refl :args (@t211)) % 1.62/1.80 (step @p751 :rule ho_cong :premises (@p189 @p750)) % 1.62/1.80 (step @p752 :rule refl :args (@t206)) % 1.62/1.80 (step @p753 :rule ho_cong :premises (@p189 @p752)) % 1.62/1.80 (step @p754 :rule ho_cong :premises (@p190 @p753)) % 1.62/1.80 (step @p755 :rule ho_cong :premises (@p754 @p751)) % 1.62/1.80 (step @p756 :rule ho_cong :premises (@p189 @p755)) % 1.62/1.80 (step @p757 :rule ho_cong :premises (@p756 @p720)) % 1.62/1.80 (step @p758 :rule trans :premises (@p757 @p749)) % 1.62/1.80 (step @p759 :rule cong :premises (@p758) :args (@t227)) % 1.62/1.80 (step @p760 :rule trans :premises (@p194 @p759)) % 1.62/1.80 (step @p761 :rule ho_cong :premises (@p760 @p718)) % 1.62/1.80 (step @p762 :rule ho_cong :premises (@p761 @p716)) % 1.62/1.80 (step @p763 :rule beta-reduce :args ((= (_ @t724 @t16) @t638))) % 1.62/1.80 (step @p764 :rule beta-reduce :args ((= (_ @t719 @t211) @t724))) % 1.62/1.80 (step @p765 :rule ho_cong :premises (@p742 @p750)) % 1.62/1.80 (step @p766 :rule trans :premises (@p765 @p764)) % 1.62/1.80 (step @p767 :rule ho_cong :premises (@p766 @p720)) % 1.62/1.80 (step @p768 :rule trans :premises (@p767 @p763)) % 1.62/1.80 (step @p769 :rule ho_cong :premises (@p754 @p750)) % 1.62/1.80 (step @p770 :rule ho_cong :premises (@p769 @p720)) % 1.62/1.80 (step @p771 :rule trans :premises (@p770 @p768)) % 1.62/1.80 (step @p772 :rule cong :premises (@p771) :args (@t228)) % 1.62/1.80 (step @p773 :rule trans :premises (@p195 @p772)) % 1.62/1.80 (step @p774 :rule ho_cong :premises (@p773 @p762)) % 1.62/1.80 (step @p775 :rule ho_cong :premises (@p774 @p245)) % 1.62/1.80 (step @p776 :rule ho_cong :premises (@p244 @p775)) % 1.62/1.80 (step @p777 :rule refl :args (@t199)) % 1.62/1.80 (step @p778 :rule ho_cong :premises (@p244 @p777)) % 1.62/1.80 (step @p779 :rule ho_cong :premises (@p773 @p778)) % 1.62/1.80 (step @p780 :rule ho_cong :premises (@p779 @p776)) % 1.62/1.80 (step @p781 :rule ho_cong :premises (@p244 @p780)) % 1.62/1.80 (step @p782 :rule ho_cong :premises (@p779 @p781)) % 1.62/1.80 (step @p783 :rule ho_cong :premises (@p244 @p782)) % 1.62/1.80 (step @p784 :rule ho_cong :premises (@p779 @p783)) % 1.62/1.80 (step @p785 :rule ho_cong :premises (@p244 @p784)) % 1.62/1.80 (step @p786 :rule refl :args (@t201)) % 1.62/1.80 (step @p787 :rule ho_cong :premises (@p244 @p786)) % 1.62/1.80 (step @p788 :rule ho_cong :premises (@p760 @p787)) % 1.62/1.80 (step @p789 :rule ho_cong :premises (@p788 @p716)) % 1.62/1.80 (step @p790 :rule ho_cong :premises (@p773 @p789)) % 1.62/1.80 (step @p791 :rule ho_cong :premises (@p790 @p785)) % 1.62/1.80 (step @p792 :rule ho_cong :premises (@p244 @p791)) % 1.62/1.80 (step @p793 :rule ho_cong :premises (@p779 @p792)) % 1.62/1.80 (step @p794 :rule ho_cong :premises (@p244 @p793)) % 1.62/1.80 (step @p795 :rule ho_cong :premises (@p773 @p718)) % 1.62/1.80 (step @p796 :rule ho_cong :premises (@p795 @p794)) % 1.62/1.80 (step @p797 :rule ho_cong :premises (@p244 @p796)) % 1.62/1.80 (step @p798 :rule ho_cong :premises (@p253 @p797)) % 1.62/1.80 (step @p799 :rule cong :premises (@p798) :args (@t202)) % 1.62/1.80 (step @p800 :rule trans :premises (@p799 @p714)) % 1.62/1.80 (step @p801 :rule eq_resolve :premises (@p186 @p800)) % 1.62/1.80 (step @p802 :rule skolemize :premises (@p801)) % 1.62/1.80 (step @p803 :rule cnf_or_neg :args (@t736 17)) % 1.62/1.80 (step @p804 :rule chain_m_resolution :premises (@p803 @p802) :args ((not @t726) @t737 @t738)) % 1.62/1.80 (step @p805 :rule bool-double-not-elim :args (@t728)) % 1.62/1.80 (step @p806 :rule refl :args (@t736)) % 1.62/1.80 (step @p807 :rule nary_cong :premises (@p806 @p805) :args ((or @t736 (not @t729)))) % 1.62/1.80 (step @p808 :rule cnf_or_neg :args (@t736 16)) % 1.62/1.80 (step @p809 :rule eq_resolve :premises (@p808 @p807)) % 1.62/1.80 (step @p810 :rule reordering :premises (@p809) :args ((or @t728 @t736))) % 1.62/1.80 (step @p811 :rule chain_m_resolution :premises (@p810 @p802) :args (@t728 @t737 @t738)) % 1.62/1.80 (step @p812 :rule cnf_or_pos :args (@t739)) % 1.62/1.80 (step @p813 :rule reordering :premises (@p812) :args ((or @t729 @t726 @t740))) % 1.62/1.80 (step @p814 :rule chain_m_resolution :premises (@p813 @p811 @p804) :args (@t740 (@list false true) (@list @t728 @t726))) % 1.62/1.80 (assume-push @p821 @t281) % 1.62/1.80 (step @p816 :rule instantiate :premises (@p256) :args ((@list @t727 @t725))) % 1.62/1.80 (step-pop @p822 :rule scope :premises (@p816)) % 1.62/1.80 (step @p817 :rule process_scope :premises (@p822) :args (@t739)) % 1.62/1.80 (step @p819 :rule implies_elim :premises (@p817)) % 1.62/1.80 (step @p820 false :rule chain_m_resolution :premises (@p819 @p814 @p256) :args (false (@list true false) (@list @t739 @t281))) % 1.62/1.80 ) % 1.62/1.80 % SZS output end Proof % 1.62/1.80 % cvc5 exiting %------------------------------------------------------------------------------