%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV061^7 : TPTP v9.2.1. Released v5.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:00:26 AM UTC 2026 % Result : Theorem 1.40s 1.68s % Output : Proof 1.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV061^7 : TPTP v9.2.1. Released v5.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:54:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.57 %----Proving TH0 % 1.40/1.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.40/1.68 % SZS status Theorem % 1.40/1.68 % SZS output start Proof % 1.40/1.68 ( % 1.40/1.68 (declare-sort tptp.mu 0) % 1.40/1.68 (declare-sort $$unsorted 0) % 1.40/1.68 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.true (-> $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.lt (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.leq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.gt (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.succ (-> tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.n3 tptp.mu) % 1.40/1.68 (declare-const tptp.n2 tptp.mu) % 1.40/1.68 (declare-const tptp.trans (-> tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.n0 tptp.mu) % 1.40/1.68 (declare-const tptp.tptp_msub (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.inv (-> tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.tptp_update3 (-> tptp.mu tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.tptp_mmul (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.pred (-> tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.tptp_update2 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.n4 tptp.mu) % 1.40/1.68 (declare-const tptp.tptp_const_array2 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.tptp_float_0_0 tptp.mu) % 1.40/1.68 (declare-const tptp.uniform_int_rnd (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.sum (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.use tptp.mu) % 1.40/1.68 (declare-const tptp.dim (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.tptp_minus_1 tptp.mu) % 1.40/1.68 (declare-const tptp.qmltpeq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.minus (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.plus (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.a_select3 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.geq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.tptp_madd (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.a_select2 (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.def tptp.mu) % 1.40/1.68 (declare-const tptp.tptp_const_array1 (-> tptp.mu tptp.mu tptp.mu)) % 1.40/1.68 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 1.40/1.68 (declare-const tptp.loopcounter tptp.mu) % 1.40/1.68 (declare-const tptp.n5 tptp.mu) % 1.40/1.68 (declare-const tptp.n1 tptp.mu) % 1.40/1.68 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 1.40/1.68 (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)))))) % 1.40/1.68 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.40/1.68 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 1.40/1.68 (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))))))) % 1.40/1.68 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 1.40/1.68 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.40/1.68 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 1.40/1.68 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.40/1.68 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 1.40/1.68 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.40/1.68 (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)))))) % 1.40/1.68 (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)))))))) % 1.40/1.68 (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)))))) % 1.40/1.68 (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)))))) % 1.40/1.68 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 1.40/1.68 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.40/1.68 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.40/1.68 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 1.40/1.68 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 1.40/1.68 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 1.40/1.68 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 1.40/1.68 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 1.40/1.68 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 1.40/1.68 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 1.40/1.68 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 1.40/1.68 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 1.40/1.68 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.40/1.68 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.40/1.68 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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)))))))) % 1.40/1.68 (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))))) % 1.40/1.68 (define @t1 () (@var "V" $$unsorted)) % 1.40/1.68 (define @t2 () (@var "X" tptp.mu)) % 1.40/1.68 (define @t3 () (_ tptp.exists_in_world @t2)) % 1.40/1.68 (define @t4 () (_ @t3 @t1)) % 1.40/1.68 (define @t5 () (@list @t2)) % 1.40/1.68 (define @t6 () (@list @t1)) % 1.40/1.68 (define @t7 () (@var "W" $$unsorted)) % 1.40/1.68 (define @t8 () (_ @t3 @t7)) % 1.40/1.68 (define @t9 () (@var "V1" tptp.mu)) % 1.40/1.68 (define @t10 () (@var "V2" tptp.mu)) % 1.40/1.68 (define @t11 () (@list @t1 @t10 @t9)) % 1.40/1.68 (define @t12 () (@var "V3" tptp.mu)) % 1.40/1.68 (define @t13 () (@list @t1 @t12 @t10 @t9)) % 1.40/1.68 (define @t14 () (@list @t1 @t9)) % 1.40/1.68 (define @t15 () (@var "V4" tptp.mu)) % 1.40/1.68 (define @t16 () (@var "__flatten_var_0" $$unsorted)) % 1.40/1.68 (define @t17 () (_ tptp.qmltpeq @t2)) % 1.40/1.68 (define @t18 () (@list @t2 @t16)) % 1.40/1.68 (define @t19 () (@var "Y" tptp.mu)) % 1.40/1.68 (define @t20 () (_ tptp.qmltpeq @t19)) % 1.40/1.68 (define @t21 () (_ tptp.mbox_s4 (_ @t17 @t19))) % 1.40/1.68 (define @t22 () (@list @t19 @t16)) % 1.40/1.68 (define @t23 () (@var "Z" tptp.mu)) % 1.40/1.68 (define @t24 () (@list @t23 @t16)) % 1.40/1.68 (define @t25 () (@var "C" tptp.mu)) % 1.40/1.68 (define @t26 () (@var "B" tptp.mu)) % 1.40/1.68 (define @t27 () (@var "A" tptp.mu)) % 1.40/1.68 (define @t28 () (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t27) @t26))) % 1.40/1.68 (define @t29 () (_ tptp.mimplies @t28)) % 1.40/1.68 (define @t30 () (@list @t25 @t16)) % 1.40/1.68 (define @t31 () (@list @t26 @t16)) % 1.40/1.68 (define @t32 () (@list @t27 @t16)) % 1.40/1.68 (define @t33 () (_ tptp.a_select2 @t25)) % 1.40/1.68 (define @t34 () (@var "D" tptp.mu)) % 1.40/1.68 (define @t35 () (_ tptp.a_select3 @t26)) % 1.40/1.68 (define @t36 () (_ tptp.a_select3 @t27)) % 1.40/1.68 (define @t37 () (@list @t34 @t16)) % 1.40/1.68 (define @t38 () (_ tptp.a_select3 @t25)) % 1.40/1.68 (define @t39 () (_ @t38 @t34)) % 1.40/1.68 (define @t40 () (_ tptp.dim @t25)) % 1.40/1.68 (define @t41 () (_ tptp.inv @t27)) % 1.40/1.68 (define @t42 () (_ tptp.minus @t25)) % 1.40/1.68 (define @t43 () (_ tptp.plus @t25)) % 1.40/1.68 (define @t44 () (_ tptp.sum @t25)) % 1.40/1.68 (define @t45 () (_ @t44 @t34)) % 1.40/1.68 (define @t46 () (_ tptp.tptp_const_array1 @t25)) % 1.40/1.68 (define @t47 () (_ tptp.tptp_const_array2 @t25)) % 1.40/1.68 (define @t48 () (_ @t47 @t34)) % 1.40/1.68 (define @t49 () (_ tptp.tptp_madd @t27)) % 1.40/1.68 (define @t50 () (_ tptp.tptp_madd @t25)) % 1.40/1.68 (define @t51 () (_ tptp.tptp_mmul @t26)) % 1.40/1.68 (define @t52 () (_ tptp.tptp_mmul @t27)) % 1.40/1.68 (define @t53 () (_ tptp.tptp_mmul @t25)) % 1.40/1.68 (define @t54 () (_ tptp.tptp_msub @t27)) % 1.40/1.68 (define @t55 () (_ tptp.tptp_msub @t25)) % 1.40/1.68 (define @t56 () (_ tptp.tptp_update2 @t25)) % 1.40/1.68 (define @t57 () (_ @t56 @t34)) % 1.40/1.68 (define @t58 () (@var "E" tptp.mu)) % 1.40/1.68 (define @t59 () (_ tptp.tptp_update3 @t27)) % 1.40/1.68 (define @t60 () (@list @t58 @t16)) % 1.40/1.68 (define @t61 () (_ tptp.tptp_update3 @t25)) % 1.40/1.68 (define @t62 () (_ @t61 @t34)) % 1.40/1.68 (define @t63 () (_ @t62 @t58)) % 1.40/1.68 (define @t64 () (_ tptp.trans @t26)) % 1.40/1.68 (define @t65 () (_ tptp.trans @t27)) % 1.40/1.68 (define @t66 () (_ tptp.uniform_int_rnd @t25)) % 1.40/1.68 (define @t67 () (_ tptp.mand @t28)) % 1.40/1.68 (define @t68 () (_ tptp.geq @t25)) % 1.40/1.68 (define @t69 () (_ tptp.gt @t25)) % 1.40/1.68 (define @t70 () (_ tptp.leq @t25)) % 1.40/1.68 (define @t71 () (_ tptp.lt @t25)) % 1.40/1.68 (define @t72 () (_ tptp.gt @t19)) % 1.40/1.68 (define @t73 () (_ tptp.mbox_s4 (_ @t72 @t2))) % 1.40/1.68 (define @t74 () (_ tptp.gt @t2)) % 1.40/1.68 (define @t75 () (_ tptp.mbox_s4 (_ @t74 @t19))) % 1.40/1.68 (define @t76 () (_ tptp.leq @t2)) % 1.40/1.68 (define @t77 () (_ tptp.leq @t19)) % 1.40/1.68 (define @t78 () (_ tptp.mbox_s4 (_ @t76 @t19))) % 1.40/1.68 (define @t79 () (_ tptp.mand @t78)) % 1.40/1.68 (define @t80 () (_ tptp.mbox_s4 (_ (_ tptp.lt @t2) @t19))) % 1.40/1.68 (define @t81 () (_ tptp.mimplies @t73)) % 1.40/1.68 (define @t82 () (_ tptp.mbox_s4 (_ (_ tptp.geq @t2) @t19))) % 1.40/1.68 (define @t83 () (_ tptp.mbox_s4 (_ @t77 @t2))) % 1.40/1.68 (define @t84 () (_ tptp.mbox_s4 (_ @t76 (_ tptp.pred @t19)))) % 1.40/1.68 (define @t85 () (_ tptp.succ @t2)) % 1.40/1.68 (define @t86 () (_ tptp.succ @t19)) % 1.40/1.68 (define @t87 () (_ tptp.mimplies @t78)) % 1.40/1.68 (define @t88 () (_ tptp.mbox_s4 (_ (_ tptp.gt @t86) @t2))) % 1.40/1.68 (define @t89 () (_ @t66 @t2)) % 1.40/1.68 (define @t90 () (_ tptp.leq tptp.n0)) % 1.40/1.68 (define @t91 () (_ tptp.mbox_s4 (_ @t90 @t2))) % 1.40/1.68 (define @t92 () (_ tptp.mimplies @t91)) % 1.40/1.68 (define @t93 () (@var "Val" tptp.mu)) % 1.40/1.68 (define @t94 () (@var "I" tptp.mu)) % 1.40/1.68 (define @t95 () (@var "U" tptp.mu)) % 1.40/1.68 (define @t96 () (@var "L" tptp.mu)) % 1.40/1.68 (define @t97 () (_ tptp.leq @t94)) % 1.40/1.68 (define @t98 () (_ tptp.mbox_s4 (_ @t97 @t95))) % 1.40/1.68 (define @t99 () (@list @t93 @t16)) % 1.40/1.68 (define @t100 () (@list @t95 @t16)) % 1.40/1.68 (define @t101 () (@list @t94 @t16)) % 1.40/1.68 (define @t102 () (@var "J" tptp.mu)) % 1.40/1.68 (define @t103 () (@var "U2" tptp.mu)) % 1.40/1.68 (define @t104 () (@var "L2" tptp.mu)) % 1.40/1.68 (define @t105 () (@var "U1" tptp.mu)) % 1.40/1.68 (define @t106 () (@var "L1" tptp.mu)) % 1.40/1.68 (define @t107 () (_ tptp.leq @t102)) % 1.40/1.68 (define @t108 () (@list @t102 @t16)) % 1.40/1.68 (define @t109 () (_ tptp.a_select3 @t65)) % 1.40/1.68 (define @t110 () (@var "N" tptp.mu)) % 1.40/1.68 (define @t111 () (_ tptp.mbox_s4 (_ @t107 @t110))) % 1.40/1.68 (define @t112 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t102)))) % 1.40/1.68 (define @t113 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t97 @t110)))) % 1.40/1.68 (define @t114 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t94)))) % 1.40/1.68 (define @t115 () (_ tptp.mimplies (_ @t114 (_ @t113 (_ @t112 @t111))))) % 1.40/1.68 (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))))) % 1.40/1.68 (define @t117 () (_ tptp.mimplies @t116)) % 1.40/1.68 (define @t118 () (@list @t110 @t16)) % 1.40/1.68 (define @t119 () (_ tptp.a_select3 @t41)) % 1.40/1.68 (define @t120 () (@var "VAL" tptp.mu)) % 1.40/1.68 (define @t121 () (@var "K" tptp.mu)) % 1.40/1.68 (define @t122 () (_ tptp.a_select3 (_ (_ (_ @t59 @t121) @t121) @t120))) % 1.40/1.68 (define @t123 () (@list @t120 @t16)) % 1.40/1.68 (define @t124 () (_ tptp.a_select3 (_ @t49 @t26))) % 1.40/1.68 (define @t125 () (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t35 @t94) @t102)) (_ (_ @t35 @t102) @t94)))) % 1.40/1.68 (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))))) % 1.40/1.68 (define @t127 () (_ tptp.mand @t116)) % 1.40/1.68 (define @t128 () (_ tptp.mimplies (_ @t127 @t126))) % 1.40/1.68 (define @t129 () (_ tptp.a_select3 (_ @t54 @t26))) % 1.40/1.68 (define @t130 () (_ tptp.a_select3 (_ @t52 (_ @t51 @t65)))) % 1.40/1.68 (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))))) % 1.40/1.68 (define @t132 () (@var "M" tptp.mu)) % 1.40/1.68 (define @t133 () (_ tptp.mimplies (_ @t114 (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t97 @t132))) (_ @t112 (_ tptp.mbox_s4 (_ @t107 @t132))))))) % 1.40/1.68 (define @t134 () (@list @t132 @t16)) % 1.40/1.68 (define @t135 () (@var "F" tptp.mu)) % 1.40/1.68 (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))))) % 1.40/1.68 (define @t137 () (_ tptp.a_select3 @t135)) % 1.40/1.68 (define @t138 () (_ tptp.a_select3 @t34)) % 1.40/1.68 (define @t139 () (@var "Body" tptp.mu)) % 1.40/1.68 (define @t140 () (_ (_ (_ tptp.sum tptp.n0) tptp.tptp_minus_1) @t139)) % 1.40/1.68 (define @t141 () (@list @t139 @t16)) % 1.40/1.68 (define @t142 () (_ tptp.plus @t2)) % 1.40/1.68 (define @t143 () (_ tptp.succ @t85)) % 1.40/1.68 (define @t144 () (_ tptp.succ @t143)) % 1.40/1.68 (define @t145 () (_ tptp.succ @t144)) % 1.40/1.68 (define @t146 () (_ tptp.succ @t145)) % 1.40/1.68 (define @t147 () (_ tptp.pred @t2)) % 1.40/1.68 (define @t148 () (_ tptp.minus @t2)) % 1.40/1.68 (define @t149 () (_ tptp.leq @t85)) % 1.40/1.68 (define @t150 () (_ tptp.mbox_s4 (_ @t149 @t86))) % 1.40/1.68 (define @t151 () (@var "V" tptp.mu)) % 1.40/1.68 (define @t152 () (_ tptp.tptp_update3 @t2)) % 1.40/1.68 (define @t153 () (_ tptp.a_select3 (_ (_ (_ @t152 @t95) @t151) @t120))) % 1.40/1.68 (define @t154 () (@list @t151 @t16)) % 1.40/1.68 (define @t155 () (@var "VAL2" tptp.mu)) % 1.40/1.68 (define @t156 () (_ tptp.a_select3 @t2)) % 1.40/1.68 (define @t157 () (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t94) @t95)))))) % 1.40/1.68 (define @t158 () (@list @t155 @t16)) % 1.40/1.68 (define @t159 () (@var "J0" tptp.mu)) % 1.40/1.68 (define @t160 () (@var "I0" tptp.mu)) % 1.40/1.68 (define @t161 () (_ tptp.mbox_s4 (_ (_ tptp.leq @t160) @t95))) % 1.40/1.68 (define @t162 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t160)))) % 1.40/1.68 (define @t163 () (@list @t160 @t16)) % 1.40/1.68 (define @t164 () (_ tptp.tptp_update2 @t2)) % 1.40/1.68 (define @t165 () (_ tptp.a_select2 (_ (_ @t164 @t95) @t120))) % 1.40/1.68 (define @t166 () (_ tptp.a_select2 @t2)) % 1.40/1.68 (define @t167 () (_ tptp.mbox_s4 tptp.true)) % 1.40/1.68 (define @t168 () (_ tptp.gt tptp.n5)) % 1.40/1.68 (define @t169 () (_ tptp.gt tptp.n4)) % 1.40/1.68 (define @t170 () (_ tptp.gt tptp.n1)) % 1.40/1.68 (define @t171 () (_ tptp.gt tptp.n2)) % 1.40/1.68 (define @t172 () (_ tptp.gt tptp.n3)) % 1.40/1.68 (define @t173 () (_ tptp.mbox_s4 (_ @t17 tptp.n4))) % 1.40/1.68 (define @t174 () (_ tptp.mbox_s4 (_ @t17 tptp.n3))) % 1.40/1.68 (define @t175 () (_ tptp.mor @t174)) % 1.40/1.68 (define @t176 () (_ tptp.mbox_s4 (_ @t17 tptp.n2))) % 1.40/1.68 (define @t177 () (_ tptp.mor @t176)) % 1.40/1.68 (define @t178 () (_ tptp.mbox_s4 (_ @t17 tptp.n1))) % 1.40/1.68 (define @t179 () (_ tptp.mor @t178)) % 1.40/1.68 (define @t180 () (_ tptp.mbox_s4 (_ @t17 tptp.n0))) % 1.40/1.68 (define @t181 () (_ tptp.mor @t180)) % 1.40/1.68 (define @t182 () (_ tptp.mand @t91)) % 1.40/1.68 (define @t183 () (_ tptp.succ tptp.n0)) % 1.40/1.68 (define @t184 () (_ tptp.succ @t183)) % 1.40/1.68 (define @t185 () (_ tptp.succ @t184)) % 1.40/1.68 (define @t186 () (_ tptp.succ @t185)) % 1.40/1.68 (define @t187 () (_ (_ tptp.gt tptp.loopcounter) tptp.n1)) % 1.40/1.68 (define @t188 () (_ tptp.mbox_s4 @t187)) % 1.40/1.68 (define @t189 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t167) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ tptp.mbox_s4 (_ tptp.mnot @t188))) @t167))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t188) @t167)))))))) % 1.40/1.68 (define @t190 () (@var "Y" (-> $$unsorted Bool))) % 1.40/1.68 (define @t191 () (@var "X" (-> $$unsorted Bool))) % 1.40/1.68 (define @t192 () (lambda (@list @t191 @t190 @t7) (= (_ @t191 @t7) (_ @t190 @t7)))) % 1.40/1.68 (define @t193 () (@var "Phi" (-> $$unsorted Bool))) % 1.40/1.68 (define @t194 () (_ @t193 @t7)) % 1.40/1.68 (define @t195 () (not @t194)) % 1.40/1.68 (define @t196 () (@list @t193 @t7)) % 1.40/1.68 (define @t197 () (lambda @t196 @t195)) % 1.40/1.68 (define @t198 () (@var "Psi" (-> $$unsorted Bool))) % 1.40/1.68 (define @t199 () (_ @t198 @t7)) % 1.40/1.68 (define @t200 () (lambda (@list @t193 @t198 @t7) (or @t194 @t199))) % 1.40/1.68 (define @t201 () (_ @t193 @t1)) % 1.40/1.68 (define @t202 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 1.40/1.68 (define @t203 () (lambda (@list @t202 @t193 @t7) (forall @t6 (or (not (_ (_ @t202 @t7) @t1)) @t201)))) % 1.40/1.68 (define @t204 () (@var "P" (-> $$unsorted Bool))) % 1.40/1.68 (define @t205 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 1.40/1.68 (define @t206 () (_ @t205 @t204)) % 1.40/1.68 (define @t207 () (lambda (@list @t205 @t7) (forall (@list @t204) (_ @t206 @t7)))) % 1.40/1.68 (define @t208 () (@list @t7)) % 1.40/1.68 (define @t209 () (lambda @t208 true)) % 1.40/1.68 (define @t210 () (_ tptp.mnot @t198)) % 1.40/1.68 (define @t211 () (_ tptp.mnot @t193)) % 1.40/1.68 (define @t212 () (_ tptp.mor @t211)) % 1.40/1.68 (define @t213 () (@list @t193 @t198 @t16)) % 1.40/1.68 (define @t214 () (lambda @t213 (_ (_ tptp.mnot (_ @t212 @t210)) @t16))) % 1.40/1.68 (define @t215 () (lambda @t213 (_ (_ @t212 @t198) @t16))) % 1.40/1.68 (define @t216 () (lambda @t213 (_ (_ (_ tptp.mor @t210) @t193) @t16))) % 1.40/1.68 (define @t217 () (lambda @t213 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t193) @t198)) (_ (_ tptp.mimplies @t198) @t193)) @t16))) % 1.40/1.68 (define @t218 () (lambda @t213 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t193) @t198)) @t16))) % 1.40/1.68 (define @t219 () (lambda (@list @t202 @t193 @t16) (_ (_ tptp.mnot (_ (_ tptp.mbox @t202) @t211)) @t16))) % 1.40/1.68 (define @t220 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 1.40/1.68 (define @t221 () (_ @t220 @t2)) % 1.40/1.68 (define @t222 () (lambda (@list @t220 @t7) (forall @t5 (=> @t8 (_ @t221 @t7))))) % 1.40/1.68 (define @t223 () (lambda (@list @t220 @t16) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mnot @t221) @t16)))) @t16))) % 1.40/1.68 (define @t224 () (lambda (@list @t205 @t16) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t204 @t16) (_ (_ tptp.mnot @t206) @t16)))) @t16))) % 1.40/1.68 (define @t225 () (@var "S" $$unsorted)) % 1.40/1.68 (define @t226 () (_ @t202 @t225)) % 1.40/1.68 (define @t227 () (@list @t225)) % 1.40/1.68 (define @t228 () (@list @t202)) % 1.40/1.68 (define @t229 () (lambda @t228 (forall @t227 (_ @t226 @t225)))) % 1.40/1.68 (define @t230 () (@var "T" $$unsorted)) % 1.40/1.68 (define @t231 () (_ @t202 @t230)) % 1.40/1.68 (define @t232 () (_ @t226 @t230)) % 1.40/1.68 (define @t233 () (lambda @t228 (forall (@list @t225 @t230) (=> @t232 (_ @t231 @t225))))) % 1.40/1.68 (define @t234 () (@list @t230)) % 1.40/1.68 (define @t235 () (lambda @t228 (forall @t227 (exists @t234 @t232)))) % 1.40/1.68 (define @t236 () (@var "U" $$unsorted)) % 1.40/1.68 (define @t237 () (_ @t226 @t236)) % 1.40/1.68 (define @t238 () (_ @t231 @t236)) % 1.40/1.68 (define @t239 () (@list @t225 @t230 @t236)) % 1.40/1.68 (define @t240 () (lambda @t228 (forall @t239 (=> (and @t232 @t238) @t237)))) % 1.40/1.68 (define @t241 () (and @t232 @t237)) % 1.40/1.68 (define @t242 () (lambda @t228 (forall @t239 (=> @t241 @t238)))) % 1.40/1.68 (define @t243 () (= @t230 @t236)) % 1.40/1.68 (define @t244 () (lambda @t228 (forall @t239 (=> @t241 @t243)))) % 1.40/1.68 (define @t245 () (@list @t236)) % 1.40/1.68 (define @t246 () (lambda @t228 (forall @t227 (exists @t234 (and @t232 (forall @t245 (=> @t237 @t243))))))) % 1.40/1.68 (define @t247 () (_ @t202 @t236)) % 1.40/1.68 (define @t248 () (_ @t247 @t230)) % 1.40/1.68 (define @t249 () (lambda @t228 (forall @t239 (=> @t232 (exists @t245 (and @t237 @t248)))))) % 1.40/1.68 (define @t250 () (lambda @t228 (forall @t239 (=> @t241 (or @t238 @t243 @t248))))) % 1.40/1.68 (define @t251 () (lambda @t228 (forall @t239 (=> @t241 (exists @t6 (and (_ @t231 @t1) (_ @t247 @t1))))))) % 1.40/1.68 (define @t252 () (forall @t208 @t194)) % 1.40/1.68 (define @t253 () (@list @t193)) % 1.40/1.68 (define @t254 () (lambda @t253 @t252)) % 1.40/1.68 (define @t255 () (lambda @t253 (exists @t208 @t194))) % 1.40/1.68 (define @t256 () (lambda @t253 (exists @t208 @t195))) % 1.40/1.68 (define @t257 () (lambda @t253 (forall @t208 @t195))) % 1.40/1.68 (define @t258 () (_ (_ tptp.rel_s4 @t7) @t1)) % 1.40/1.68 (define @t259 () (not @t258)) % 1.40/1.68 (define @t260 () (or @t259 @t201)) % 1.40/1.68 (define @t261 () (forall @t6 @t260)) % 1.40/1.68 (define @t262 () (lambda @t196 @t261)) % 1.40/1.68 (define @t263 () (lambda (@list @t193 @t16) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t211)) @t16))) % 1.40/1.68 (define @t264 () (tptp.true @t1)) % 1.40/1.68 (define @t265 () (tptp.rel_s4 @t7 @t1)) % 1.40/1.68 (define @t266 () (not @t265)) % 1.40/1.68 (define @t267 () (or @t266 @t264)) % 1.40/1.68 (define @t268 () (forall @t6 @t267)) % 1.40/1.68 (define @t269 () (lambda @t208 @t268)) % 1.40/1.68 (define @t270 () (_ @t269 @t7)) % 1.40/1.68 (define @t271 () (forall @t208 @t270)) % 1.40/1.68 (define @t272 () (_ @t193 @t7)) % 1.40/1.68 (define @t273 () (lambda @t253 (forall @t208 @t272))) % 1.40/1.68 (define @t274 () (_ @t193 @t1)) % 1.40/1.68 (define @t275 () (lambda @t196 (forall @t6 (or @t266 @t274)))) % 1.40/1.68 (define @t276 () (_ @t275 tptp.true)) % 1.40/1.68 (define @t277 () (@var "BOUND_VARIABLE_63855" $$unsorted)) % 1.40/1.68 (define @t278 () (@var "BOUND_VARIABLE_63853" $$unsorted)) % 1.40/1.68 (define @t279 () (@var "BOUND_VARIABLE_63708" $$unsorted)) % 1.40/1.68 (define @t280 () (tptp.gt tptp.loopcounter tptp.n1 @t279)) % 1.40/1.68 (define @t281 () (@list @t279)) % 1.40/1.68 (define @t282 () (or (not (tptp.rel_s4 @t1 @t278)) (not (forall @t281 (or (not (tptp.rel_s4 @t278 @t279)) @t280))) (not (tptp.rel_s4 @t278 @t277)) (tptp.true @t277))) % 1.40/1.68 (define @t283 () (@var "BOUND_VARIABLE_63840" $$unsorted)) % 1.40/1.68 (define @t284 () (@var "BOUND_VARIABLE_63838" $$unsorted)) % 1.40/1.68 (define @t285 () (@var "BOUND_VARIABLE_63578" $$unsorted)) % 1.40/1.68 (define @t286 () (tptp.gt tptp.loopcounter tptp.n1 @t285)) % 1.40/1.68 (define @t287 () (@var "BOUND_VARIABLE_63626" $$unsorted)) % 1.40/1.68 (define @t288 () (@list @t285)) % 1.40/1.68 (define @t289 () (not (forall @t288 (or (not (tptp.rel_s4 @t287 @t285)) @t286)))) % 1.40/1.68 (define @t290 () (@list @t287)) % 1.40/1.68 (define @t291 () (or (not (tptp.rel_s4 @t1 @t284)) (not (forall @t290 (or (not (tptp.rel_s4 @t284 @t287)) @t289))) (not (tptp.rel_s4 @t284 @t283)) (tptp.true @t283))) % 1.40/1.68 (define @t292 () (and @t291 @t282)) % 1.40/1.68 (define @t293 () (@var "BOUND_VARIABLE_63802" $$unsorted)) % 1.40/1.68 (define @t294 () (tptp.true @t293)) % 1.40/1.68 (define @t295 () (@list @t293)) % 1.40/1.68 (define @t296 () (not (forall @t295 (or (not (tptp.rel_s4 @t1 @t293)) @t294)))) % 1.40/1.68 (define @t297 () (or @t266 @t296 @t292)) % 1.40/1.68 (define @t298 () (forall (@list @t7 @t1 @t284 @t283 @t278 @t277) @t297)) % 1.40/1.68 (define @t299 () (@quantifiers_skolemize @t298 3)) % 1.40/1.68 (define @t300 () (@quantifiers_skolemize @t298 2)) % 1.40/1.68 (define @t301 () (@quantifiers_skolemize @t298 5)) % 1.40/1.68 (define @t302 () (@quantifiers_skolemize @t298 4)) % 1.40/1.68 (define @t303 () (tptp.rel_s4 @t302 @t301)) % 1.40/1.68 (define @t304 () (tptp.true @t301)) % 1.40/1.68 (define @t305 () (not @t303)) % 1.40/1.68 (define @t306 () (@quantifiers_skolemize @t298 1)) % 1.40/1.68 (define @t307 () (or (not (tptp.rel_s4 @t306 @t302)) (not (forall @t281 (or (not (tptp.rel_s4 @t302 @t279)) @t280))) @t305 @t304)) % 1.40/1.68 (define @t308 () (or @t305 @t304)) % 1.40/1.68 (define @t309 () (forall (@list @t1 @t284 @t283 @t278 @t277) @t297)) % 1.40/1.68 (define @t310 () (lambda @t208 @t309)) % 1.40/1.68 (define @t311 () (_ @t310 @t7)) % 1.40/1.68 (define @t312 () (forall @t208 @t311)) % 1.40/1.68 (define @t313 () (@list @t284 @t283 @t278 @t277)) % 1.40/1.68 (define @t314 () (forall @t313 @t297)) % 1.40/1.68 (define @t315 () (forall (@list @t278 @t277) @t282)) % 1.40/1.68 (define @t316 () (@var "BOUND_VARIABLE_63733" $$unsorted)) % 1.40/1.68 (define @t317 () (@var "BOUND_VARIABLE_63770" $$unsorted)) % 1.40/1.68 (define @t318 () (forall @t313 @t282)) % 1.40/1.68 (define @t319 () (forall (@list @t284 @t283) @t291)) % 1.40/1.68 (define @t320 () (@var "BOUND_VARIABLE_63655" $$unsorted)) % 1.40/1.68 (define @t321 () (@var "BOUND_VARIABLE_63785" $$unsorted)) % 1.40/1.68 (define @t322 () (forall @t313 @t291)) % 1.40/1.68 (define @t323 () (and @t322 @t318)) % 1.40/1.68 (define @t324 () (forall @t313 @t292)) % 1.40/1.68 (define @t325 () (or @t266 @t296 @t324)) % 1.40/1.68 (define @t326 () (tptp.true @t316)) % 1.40/1.68 (define @t327 () (not (tptp.rel_s4 @t317 @t316))) % 1.40/1.68 (define @t328 () (not (forall @t281 (or (not (tptp.rel_s4 @t317 @t279)) @t280)))) % 1.40/1.68 (define @t329 () (@list @t317 @t316)) % 1.40/1.68 (define @t330 () (forall @t329 (or (not (tptp.rel_s4 @t1 @t317)) @t328 @t327 @t326))) % 1.40/1.68 (define @t331 () (tptp.true @t320)) % 1.40/1.68 (define @t332 () (not (tptp.rel_s4 @t321 @t320))) % 1.40/1.68 (define @t333 () (not (forall @t290 (or (not (tptp.rel_s4 @t321 @t287)) @t289)))) % 1.40/1.68 (define @t334 () (@list @t321 @t320)) % 1.40/1.68 (define @t335 () (forall @t334 (or (not (tptp.rel_s4 @t1 @t321)) @t333 @t332 @t331))) % 1.40/1.68 (define @t336 () (not @t330)) % 1.40/1.68 (define @t337 () (not @t335)) % 1.40/1.68 (define @t338 () (not (or @t337 @t336))) % 1.40/1.68 (define @t339 () (or @t266 @t296 @t338)) % 1.40/1.68 (define @t340 () (or @t296 @t338)) % 1.40/1.68 (define @t341 () (@list @t16)) % 1.40/1.68 (define @t342 () (not (tptp.rel_s4 @t1 @t316))) % 1.40/1.68 (define @t343 () (not (forall @t281 (or (not (tptp.rel_s4 @t1 @t279)) @t280)))) % 1.40/1.68 (define @t344 () (not (tptp.rel_s4 @t16 @t1))) % 1.40/1.68 (define @t345 () (@list @t1 @t316)) % 1.40/1.68 (define @t346 () (forall @t345 (or @t344 @t343 @t342 @t326))) % 1.40/1.68 (define @t347 () (@list @t1)) % 1.40/1.68 (define @t348 () (not @t346)) % 1.40/1.68 (define @t349 () (not (tptp.rel_s4 @t1 @t320))) % 1.40/1.68 (define @t350 () (not (forall @t290 (or (not (tptp.rel_s4 @t1 @t287)) @t289)))) % 1.40/1.68 (define @t351 () (@list @t1 @t320)) % 1.40/1.68 (define @t352 () (forall @t351 (or @t344 @t350 @t349 @t331))) % 1.40/1.68 (define @t353 () (not @t352)) % 1.40/1.68 (define @t354 () (or @t353 @t348)) % 1.40/1.68 (define @t355 () (not @t354)) % 1.40/1.68 (define @t356 () (forall @t6 (or @t344 @t264))) % 1.40/1.68 (define @t357 () (not @t356)) % 1.40/1.68 (define @t358 () (or @t357 @t355)) % 1.40/1.68 (define @t359 () (lambda @t341 @t358)) % 1.40/1.68 (define @t360 () (or @t266 (_ @t359 @t1))) % 1.40/1.68 (define @t361 () (forall @t6 @t360)) % 1.40/1.68 (define @t362 () (lambda @t208 @t361)) % 1.40/1.68 (define @t363 () (lambda @t341 @t355)) % 1.40/1.68 (define @t364 () (_ @t363 @t16)) % 1.40/1.68 (define @t365 () (or @t357 @t364)) % 1.40/1.68 (define @t366 () (lambda @t341 @t365)) % 1.40/1.68 (define @t367 () (_ @t198 @t16)) % 1.40/1.68 (define @t368 () (@list @t198 @t16)) % 1.40/1.68 (define @t369 () (or @t266 @t343 @t342 @t326)) % 1.40/1.68 (define @t370 () (lambda @t208 (forall @t345 @t369))) % 1.40/1.68 (define @t371 () (_ @t370 @t16)) % 1.40/1.68 (define @t372 () (not @t371)) % 1.40/1.68 (define @t373 () (or @t353 @t372)) % 1.40/1.68 (define @t374 () (not @t373)) % 1.40/1.68 (define @t375 () (lambda @t341 @t374)) % 1.40/1.68 (define @t376 () (not @t367)) % 1.40/1.68 (define @t377 () (or @t342 @t326)) % 1.40/1.68 (define @t378 () (or @t266 @t343 @t377)) % 1.40/1.68 (define @t379 () (forall @t345 @t378)) % 1.40/1.68 (define @t380 () (@list @t316)) % 1.40/1.68 (define @t381 () (forall @t380 @t378)) % 1.40/1.68 (define @t382 () (forall @t380 @t377)) % 1.40/1.68 (define @t383 () (@var "BOUND_VARIABLE_63700" $$unsorted)) % 1.40/1.68 (define @t384 () (@list @t383)) % 1.40/1.68 (define @t385 () (or @t266 @t343 @t382)) % 1.40/1.68 (define @t386 () (tptp.true @t383)) % 1.40/1.68 (define @t387 () (@list @t383)) % 1.40/1.68 (define @t388 () (forall @t387 (or (not (tptp.rel_s4 @t1 @t383)) @t386))) % 1.40/1.68 (define @t389 () (or @t266 @t343 @t388)) % 1.40/1.68 (define @t390 () (or @t343 @t388)) % 1.40/1.68 (define @t391 () (tptp.gt tptp.loopcounter tptp.n1 @t1)) % 1.40/1.68 (define @t392 () (forall @t6 (or @t344 @t391))) % 1.40/1.68 (define @t393 () (not @t392)) % 1.40/1.68 (define @t394 () (or @t393 @t356)) % 1.40/1.68 (define @t395 () (lambda @t341 @t394)) % 1.40/1.68 (define @t396 () (or @t266 (_ @t395 @t1))) % 1.40/1.68 (define @t397 () (forall @t6 @t396)) % 1.40/1.68 (define @t398 () (lambda @t208 @t397)) % 1.40/1.68 (define @t399 () (_ @t269 @t16)) % 1.40/1.68 (define @t400 () (or @t393 @t399)) % 1.40/1.68 (define @t401 () (lambda @t341 @t400)) % 1.40/1.68 (define @t402 () (forall @t6 (or @t266 @t391))) % 1.40/1.68 (define @t403 () (lambda @t208 @t402)) % 1.40/1.68 (define @t404 () (_ @t403 @t16)) % 1.40/1.68 (define @t405 () (not @t404)) % 1.40/1.68 (define @t406 () (or @t405 @t367)) % 1.40/1.68 (define @t407 () (lambda @t368 @t406)) % 1.40/1.68 (define @t408 () (not (_ @t193 @t16))) % 1.40/1.68 (define @t409 () (or @t408 @t367)) % 1.40/1.68 (define @t410 () (lambda @t213 @t409)) % 1.40/1.68 (define @t411 () (_ @t187 @t1)) % 1.40/1.68 (define @t412 () (or @t266 @t411)) % 1.40/1.68 (define @t413 () (_ @t187 @t1)) % 1.40/1.68 (define @t414 () (or @t266 @t413)) % 1.40/1.68 (define @t415 () (forall @t6 @t414)) % 1.40/1.68 (define @t416 () (lambda @t208 @t415)) % 1.40/1.68 (define @t417 () (_ @t275 @t187)) % 1.40/1.68 (define @t418 () (or @t266 @t350 @t349 @t331)) % 1.40/1.68 (define @t419 () (lambda @t208 (forall @t351 @t418))) % 1.40/1.68 (define @t420 () (_ @t419 @t16)) % 1.40/1.68 (define @t421 () (not @t420)) % 1.40/1.68 (define @t422 () (or @t421 @t376)) % 1.40/1.68 (define @t423 () (not @t422)) % 1.40/1.68 (define @t424 () (lambda @t368 @t423)) % 1.40/1.68 (define @t425 () (not (or @t408 @t376))) % 1.40/1.68 (define @t426 () (lambda @t213 @t425)) % 1.40/1.68 (define @t427 () (or @t349 @t331)) % 1.40/1.68 (define @t428 () (or @t266 @t350 @t427)) % 1.40/1.68 (define @t429 () (forall @t351 @t428)) % 1.40/1.68 (define @t430 () (@list @t320)) % 1.40/1.68 (define @t431 () (forall @t430 @t428)) % 1.40/1.68 (define @t432 () (forall @t430 @t427)) % 1.40/1.68 (define @t433 () (@var "BOUND_VARIABLE_63618" $$unsorted)) % 1.40/1.68 (define @t434 () (@list @t433)) % 1.40/1.68 (define @t435 () (or @t266 @t350 @t432)) % 1.40/1.68 (define @t436 () (tptp.true @t433)) % 1.40/1.68 (define @t437 () (@list @t433)) % 1.40/1.68 (define @t438 () (forall @t437 (or (not (tptp.rel_s4 @t1 @t433)) @t436))) % 1.40/1.68 (define @t439 () (or @t266 @t350 @t438)) % 1.40/1.68 (define @t440 () (or @t350 @t438)) % 1.40/1.68 (define @t441 () (not (forall @t288 (or (not (tptp.rel_s4 @t1 @t285)) @t286)))) % 1.40/1.68 (define @t442 () (forall @t6 (or @t344 @t441))) % 1.40/1.68 (define @t443 () (not @t442)) % 1.40/1.68 (define @t444 () (or @t443 @t356)) % 1.40/1.68 (define @t445 () (lambda @t341 @t444)) % 1.40/1.68 (define @t446 () (or @t266 (_ @t445 @t1))) % 1.40/1.68 (define @t447 () (forall @t6 @t446)) % 1.40/1.68 (define @t448 () (lambda @t208 @t447)) % 1.40/1.68 (define @t449 () (or @t443 @t399)) % 1.40/1.68 (define @t450 () (lambda @t341 @t449)) % 1.40/1.68 (define @t451 () (lambda @t208 (forall @t6 (or @t266 @t441)))) % 1.40/1.68 (define @t452 () (_ @t451 @t16)) % 1.40/1.68 (define @t453 () (not @t452)) % 1.40/1.68 (define @t454 () (or @t453 @t367)) % 1.40/1.68 (define @t455 () (lambda @t368 @t454)) % 1.40/1.68 (define @t456 () (not @t402)) % 1.40/1.68 (define @t457 () (lambda @t208 @t456)) % 1.40/1.68 (define @t458 () (or @t266 (_ @t457 @t1))) % 1.40/1.68 (define @t459 () (forall @t6 @t458)) % 1.40/1.68 (define @t460 () (lambda @t208 @t459)) % 1.40/1.68 (define @t461 () (_ @t403 @t7)) % 1.40/1.68 (define @t462 () (not @t461)) % 1.40/1.68 (define @t463 () (lambda @t208 @t462)) % 1.40/1.68 (define @t464 () (not @t399)) % 1.40/1.68 (define @t465 () (or @t464 @t367)) % 1.40/1.68 (define @t466 () (lambda @t368 @t465)) % 1.40/1.68 (define @t467 () (or @t195 @t199)) % 1.40/1.68 (define @t468 () (lambda @t208 @t467)) % 1.40/1.68 (define @t469 () (@list @t198 @t7)) % 1.40/1.68 (define @t470 () (lambda @t469 @t467)) % 1.40/1.68 (define @t471 () (lambda @t208 @t195)) % 1.40/1.68 (define @t472 () (_ @t471 @t7)) % 1.40/1.68 (define @t473 () (or @t472 @t199)) % 1.40/1.68 (define @t474 () (lambda @t469 @t473)) % 1.40/1.68 (define @t475 () (not @t199)) % 1.40/1.68 (define @t476 () (or @t195 @t475)) % 1.40/1.68 (define @t477 () (lambda @t208 @t476)) % 1.40/1.68 (define @t478 () (_ @t477 @t7)) % 1.40/1.68 (define @t479 () (not @t478)) % 1.40/1.68 (define @t480 () (lambda @t208 @t479)) % 1.40/1.68 (define @t481 () (lambda @t208 @t475)) % 1.40/1.68 (define @t482 () (_ @t481 @t7)) % 1.40/1.68 (define @t483 () (or @t195 @t482)) % 1.40/1.68 (define @t484 () (lambda @t208 @t483)) % 1.40/1.68 (define @t485 () (tptp.true @t299)) % 1.40/1.68 (define @t486 () (tptp.rel_s4 @t300 @t299)) % 1.40/1.68 (define @t487 () (not @t486)) % 1.40/1.68 (define @t488 () (or (not (tptp.rel_s4 @t306 @t300)) (not (forall @t290 (or (not (tptp.rel_s4 @t300 @t287)) @t289))) @t487 @t485)) % 1.40/1.68 (define @t489 () (and @t488 @t307)) % 1.40/1.68 (define @t490 () (or (not (tptp.rel_s4 (@quantifiers_skolemize @t298 0) @t306)) (not (forall @t295 (or (not (tptp.rel_s4 @t306 @t293)) @t294))) @t489)) % 1.40/1.68 (define @t491 () (@list true)) % 1.40/1.68 (define @t492 () (@list @t488)) % 1.40/1.68 (define @t493 () (or @t487 @t485)) % 1.40/1.68 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 1.40/1.68 (assume @p2 (forall @t6 (exists @t5 @t4))) % 1.40/1.68 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 1.40/1.68 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 1.40/1.68 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 1.40/1.68 (assume @p6 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.uniform_int_rnd @t10) @t9)) @t1))) % 1.40/1.68 (assume @p7 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_const_array1 @t10) @t9)) @t1))) % 1.40/1.68 (assume @p8 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.dim @t10) @t9)) @t1))) % 1.40/1.68 (assume @p9 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.tptp_const_array2 @t12) @t10) @t9)) @t1))) % 1.40/1.68 (assume @p10 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.inv @t9)) @t1))) % 1.40/1.68 (assume @p11 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_msub @t10) @t9)) @t1))) % 1.40/1.68 (assume @p12 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.trans @t9)) @t1))) % 1.40/1.68 (assume @p13 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_mmul @t10) @t9)) @t1))) % 1.40/1.68 (assume @p14 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_madd @t10) @t9)) @t1))) % 1.40/1.68 (assume @p15 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.sum @t12) @t10) @t9)) @t1))) % 1.40/1.68 (assume @p16 (forall @t6 (_ (_ tptp.exists_in_world tptp.tptp_float_0_0) @t1))) % 1.40/1.68 (assume @p17 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.plus @t10) @t9)) @t1))) % 1.40/1.68 (assume @p18 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.pred @t9)) @t1))) % 1.40/1.68 (assume @p19 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.minus @t10) @t9)) @t1))) % 1.40/1.68 (assume @p20 (forall (@list @t1 @t15 @t12 @t10 @t9) (_ (_ tptp.exists_in_world (_ (_ (_ (_ tptp.tptp_update3 @t15) @t12) @t10) @t9)) @t1))) % 1.40/1.68 (assume @p21 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.a_select3 @t12) @t10) @t9)) @t1))) % 1.40/1.68 (assume @p22 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.tptp_update2 @t12) @t10) @t9)) @t1))) % 1.40/1.68 (assume @p23 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.a_select2 @t10) @t9)) @t1))) % 1.40/1.68 (assume @p24 (forall @t6 (_ (_ tptp.exists_in_world tptp.use) @t1))) % 1.40/1.68 (assume @p25 (forall @t6 (_ (_ tptp.exists_in_world tptp.def) @t1))) % 1.40/1.68 (assume @p26 (forall @t6 (_ (_ tptp.exists_in_world tptp.loopcounter) @t1))) % 1.40/1.68 (assume @p27 (forall @t6 (_ (_ tptp.exists_in_world tptp.tptp_minus_1) @t1))) % 1.40/1.68 (assume @p28 (forall @t6 (_ (_ tptp.exists_in_world tptp.n4) @t1))) % 1.40/1.68 (assume @p29 (forall @t6 (_ (_ tptp.exists_in_world tptp.n5) @t1))) % 1.40/1.68 (assume @p30 (forall @t6 (_ (_ tptp.exists_in_world tptp.n1) @t1))) % 1.40/1.68 (assume @p31 (forall @t6 (_ (_ tptp.exists_in_world tptp.n2) @t1))) % 1.40/1.68 (assume @p32 (forall @t6 (_ (_ tptp.exists_in_world tptp.n3) @t1))) % 1.40/1.68 (assume @p33 (forall @t6 (_ (_ tptp.exists_in_world tptp.n0) @t1))) % 1.40/1.68 (assume @p34 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.succ @t9)) @t1))) % 1.40/1.68 (assume @p35 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ @t17 @t2)) @t16)))))) % 1.40/1.68 (assume @p36 (_ 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)))))) % 1.40/1.68 (assume @p37 (_ 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)))))) % 1.40/1.68 (assume @p38 (_ 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)))))) % 1.40/1.68 (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 (_ @t33 @t27)) (_ @t33 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ tptp.mforall_ind (lambda @t37 (_ (_ tptp.mbox_s4 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t36 @t25) @t34)) (_ (_ @t35 @t25) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ @t38 @t27) @t34)) (_ (_ @t38 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t39 @t27)) (_ @t39 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.dim @t27) @t25)) (_ (_ tptp.dim @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t40 @t27)) (_ @t40 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p45 (_ 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)))))) % 1.40/1.68 (assume @p46 (_ 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)))))) % 1.40/1.68 (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 (_ @t42 @t27)) (_ @t42 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ tptp.plus @t27) @t25)) (_ (_ tptp.plus @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t43 @t27)) (_ @t43 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p50 (_ 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)))))) % 1.40/1.68 (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.succ @t27)) (_ tptp.succ @t26))))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p52 (_ 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)))))) % 1.40/1.68 (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 (_ (_ @t44 @t27) @t34)) (_ (_ @t44 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t45 @t27)) (_ @t45 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.tptp_const_array1 @t27) @t25)) (_ (_ tptp.tptp_const_array1 @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t46 @t27)) (_ @t46 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ 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)))))) % 1.40/1.68 (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 (_ (_ @t47 @t27) @t34)) (_ (_ @t47 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t48 @t27)) (_ @t48 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t29 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t49 @t25)) (_ (_ tptp.tptp_madd @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t50 @t27)) (_ @t50 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t52 @t25)) (_ @t51 @t25))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t53 @t27)) (_ @t53 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t54 @t25)) (_ (_ tptp.tptp_msub @t26) @t25))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t55 @t27)) (_ @t55 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ 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)))))) % 1.40/1.68 (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 (_ (_ @t56 @t27) @t34)) (_ (_ @t56 @t26) @t34))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t57 @t27)) (_ @t57 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ 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)))))) % 1.40/1.68 (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 (_ (_ (_ @t61 @t27) @t34) @t58)) (_ (_ (_ @t61 @t26) @t34) @t58))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ @t62 @t27) @t58)) (_ (_ @t62 @t26) @t58))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t63 @t27)) (_ @t63 @t26))))) @t16)))) @t16)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p73 (_ 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)))))) % 1.40/1.68 (assume @p74 (_ 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)))))) % 1.40/1.68 (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 (_ @t66 @t27)) (_ @t66 @t26))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ tptp.mimplies (_ @t67 (_ tptp.mbox_s4 (_ (_ tptp.geq @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.geq @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t68 @t27)))) (_ tptp.mbox_s4 (_ @t68 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ tptp.gt @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.gt @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t69 @t27)))) (_ tptp.mbox_s4 (_ @t69 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ tptp.leq @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.leq @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t70 @t27)))) (_ tptp.mbox_s4 (_ @t70 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ tptp.lt @t27) @t25)))) (_ tptp.mbox_s4 (_ (_ tptp.lt @t26) @t25)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ @t71 @t27)))) (_ tptp.mbox_s4 (_ @t71 @t26)))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p84 (_ 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)))))) % 1.40/1.68 (assume @p85 (_ 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)))))) % 1.40/1.68 (assume @p86 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t74 @t2)))) @t16)))))) % 1.40/1.68 (assume @p87 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ @t76 @t2)) @t16)))))) % 1.40/1.68 (assume @p88 (_ 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)))))) % 1.40/1.68 (assume @p89 (_ 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)))))) % 1.40/1.68 (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 @t82) @t83))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t83) @t82))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p91 (_ 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)))))) % 1.40/1.68 (assume @p92 (_ 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)))))) % 1.40/1.68 (assume @p93 (_ 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)))))) % 1.40/1.68 (assume @p94 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.gt @t85) @t2)) @t16)))))) % 1.40/1.68 (assume @p95 (_ 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)))))) % 1.40/1.68 (assume @p96 (_ 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)))))) % 1.40/1.68 (assume @p97 (_ 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)))))) % 1.40/1.68 (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 (_ @t90 @t89)))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p99 (_ 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)))))) % 1.40/1.68 (assume @p100 (_ 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)))))) % 1.40/1.68 (assume @p101 (_ 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)))))) % 1.40/1.68 (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 (_ (_ @t119 @t94) @t102)) (_ (_ @t119 @t102) @t94))))) @t16)))) @t16)))))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ 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)))))) % 1.40/1.68 (assume @p104 (_ 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)))))) % 1.40/1.68 (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 (_ (_ @t129 @t94) @t102)) (_ (_ @t129 @t102) @t94))))) @t16)))) @t16)))))) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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 (_ (_ tptp.mimplies @t126) @t131)) @t16)))) @t16)))) @t16)))))) % 1.40/1.68 (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.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)))))) % 1.40/1.68 (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 @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)))))) % 1.40/1.68 (assume @p109 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t141 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t140) tptp.n0)) @t16)))))) % 1.40/1.68 (assume @p110 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t141 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq tptp.tptp_float_0_0) @t140)) @t16)))))) % 1.40/1.68 (assume @p111 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ tptp.tptp_minus_1)) tptp.n0)))) % 1.40/1.68 (assume @p112 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n1)) @t85)) @t16)))))) % 1.40/1.68 (assume @p113 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n1) @t2)) @t85)) @t16)))))) % 1.40/1.68 (assume @p114 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n2)) @t143)) @t16)))))) % 1.40/1.68 (assume @p115 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n2) @t2)) @t143)) @t16)))))) % 1.40/1.68 (assume @p116 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n3)) @t144)) @t16)))))) % 1.40/1.68 (assume @p117 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n3) @t2)) @t144)) @t16)))))) % 1.40/1.68 (assume @p118 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n4)) @t145)) @t16)))))) % 1.40/1.68 (assume @p119 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n4) @t2)) @t145)) @t16)))))) % 1.40/1.68 (assume @p120 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n5)) @t146)) @t16)))))) % 1.40/1.68 (assume @p121 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n5) @t2)) @t146)) @t16)))))) % 1.40/1.68 (assume @p122 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t148 tptp.n1)) @t147)) @t16)))))) % 1.40/1.68 (assume @p123 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.pred @t85)) @t2)) @t16)))))) % 1.40/1.68 (assume @p124 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ @t147)) @t2)) @t16)))))) % 1.40/1.68 (assume @p125 (_ 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)))))) % 1.40/1.68 (assume @p126 (_ 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)))))) % 1.40/1.68 (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 (_ (_ tptp.leq (_ @t148 @t19)) @t2))) (_ tptp.mbox_s4 (_ @t90 @t19)))) @t16)))) @t16)))))) % 1.40/1.68 (assume @p128 (_ 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)))))) % 1.40/1.68 (assume @p129 (_ 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)))))) % 1.40/1.68 (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.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)))))) % 1.40/1.68 (assume @p131 (_ 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)))))) % 1.40/1.68 (assume @p132 (_ 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)))))) % 1.40/1.68 (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.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)))))) % 1.40/1.68 (assume @p134 (_ tptp.mvalid @t167)) % 1.40/1.68 (assume @p135 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq tptp.def) tptp.use)))))) % 1.40/1.68 (assume @p136 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n4)))) % 1.40/1.68 (assume @p137 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.tptp_minus_1)))) % 1.40/1.68 (assume @p138 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.tptp_minus_1)))) % 1.40/1.68 (assume @p139 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.gt tptp.n0) tptp.tptp_minus_1)))) % 1.40/1.68 (assume @p140 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.tptp_minus_1)))) % 1.40/1.68 (assume @p141 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.tptp_minus_1)))) % 1.40/1.68 (assume @p142 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t172 tptp.tptp_minus_1)))) % 1.40/1.68 (assume @p143 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n0)))) % 1.40/1.68 (assume @p144 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n0)))) % 1.40/1.68 (assume @p145 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n0)))) % 1.40/1.68 (assume @p146 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n0)))) % 1.40/1.68 (assume @p147 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t172 tptp.n0)))) % 1.40/1.68 (assume @p148 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n1)))) % 1.40/1.68 (assume @p149 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n1)))) % 1.40/1.68 (assume @p150 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n1)))) % 1.40/1.68 (assume @p151 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t172 tptp.n1)))) % 1.40/1.68 (assume @p152 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n2)))) % 1.40/1.68 (assume @p153 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n2)))) % 1.40/1.68 (assume @p154 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t172 tptp.n2)))) % 1.40/1.68 (assume @p155 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n3)))) % 1.40/1.68 (assume @p156 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n3)))) % 1.40/1.68 (assume @p157 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t182 (_ tptp.mbox_s4 (_ @t76 tptp.n4)))) (_ @t181 (_ @t179 (_ @t177 (_ @t175 @t173)))))) @t16)))))) % 1.40/1.68 (assume @p158 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t182 (_ tptp.mbox_s4 (_ @t76 tptp.n5)))) (_ @t181 (_ @t179 (_ @t177 (_ @t175 (_ (_ tptp.mor @t173) (_ tptp.mbox_s4 (_ @t17 tptp.n5))))))))) @t16)))))) % 1.40/1.68 (assume @p159 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t182 (_ tptp.mbox_s4 (_ @t76 tptp.n0)))) @t180)) @t16)))))) % 1.40/1.68 (assume @p160 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t182 (_ tptp.mbox_s4 (_ @t76 tptp.n1)))) (_ @t181 @t178))) @t16)))))) % 1.40/1.68 (assume @p161 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t182 (_ tptp.mbox_s4 (_ @t76 tptp.n2)))) (_ @t181 (_ @t179 @t176)))) @t16)))))) % 1.40/1.68 (assume @p162 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t182 (_ tptp.mbox_s4 (_ @t76 tptp.n3)))) (_ @t181 (_ @t179 (_ @t177 @t174))))) @t16)))))) % 1.40/1.68 (assume @p163 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t186) tptp.n4)))) % 1.40/1.68 (assume @p164 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ @t186)) tptp.n5)))) % 1.40/1.68 (assume @p165 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t183) tptp.n1)))) % 1.40/1.68 (assume @p166 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t184) tptp.n2)))) % 1.40/1.68 (assume @p167 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t185) tptp.n3)))) % 1.40/1.68 (assume @p168 @t189) % 1.40/1.68 (assume @p169 true) % 1.40/1.68 (step @p170 (= tptp.meq_prop @t192) :rule refl :args (@t192)) % 1.40/1.68 (step @p171 (= tptp.mnot @t197) :rule refl :args (@t197)) % 1.40/1.68 (step @p172 (= tptp.mor @t200) :rule refl :args (@t200)) % 1.40/1.68 (step @p173 (= tptp.mbox @t203) :rule refl :args (@t203)) % 1.40/1.68 (step @p174 (= tptp.mforall_prop @t207) :rule refl :args (@t207)) % 1.40/1.68 (step @p175 (= tptp.mtrue @t209) :rule refl :args (@t209)) % 1.40/1.68 (step @p176 (= tptp.mand @t214) :rule refl :args (@t214)) % 1.40/1.68 (step @p177 (= tptp.mimplies @t215) :rule refl :args (@t215)) % 1.40/1.68 (step @p178 (= tptp.mimplied @t216) :rule refl :args (@t216)) % 1.40/1.68 (step @p179 (= tptp.mequiv @t217) :rule refl :args (@t217)) % 1.40/1.68 (step @p180 (= tptp.mxor @t218) :rule refl :args (@t218)) % 1.40/1.68 (step @p181 (= tptp.mdia @t219) :rule refl :args (@t219)) % 1.40/1.68 (step @p182 (= tptp.mforall_ind @t222) :rule refl :args (@t222)) % 1.40/1.68 (step @p183 (= tptp.mexists_ind @t223) :rule refl :args (@t223)) % 1.40/1.68 (step @p184 (= tptp.mexists_prop @t224) :rule refl :args (@t224)) % 1.40/1.68 (step @p185 (= tptp.mreflexive @t229) :rule refl :args (@t229)) % 1.40/1.68 (step @p186 (= tptp.msymmetric @t233) :rule refl :args (@t233)) % 1.40/1.68 (step @p187 (= tptp.mserial @t235) :rule refl :args (@t235)) % 1.40/1.68 (step @p188 (= tptp.mtransitive @t240) :rule refl :args (@t240)) % 1.40/1.68 (step @p189 (= tptp.meuclidean @t242) :rule refl :args (@t242)) % 1.40/1.68 (step @p190 (= tptp.mpartially_functional @t244) :rule refl :args (@t244)) % 1.40/1.68 (step @p191 (= tptp.mfunctional @t246) :rule refl :args (@t246)) % 1.40/1.68 (step @p192 (= tptp.mweakly_dense @t249) :rule refl :args (@t249)) % 1.40/1.68 (step @p193 (= tptp.mweakly_connected @t250) :rule refl :args (@t250)) % 1.40/1.68 (step @p194 (= tptp.mweakly_directed @t251) :rule refl :args (@t251)) % 1.40/1.68 (step @p195 (= tptp.mvalid @t254) :rule refl :args (@t254)) % 1.40/1.68 (step @p196 (= tptp.msatisfiable @t255) :rule refl :args (@t255)) % 1.40/1.68 (step @p197 (= tptp.mcountersatisfiable @t256) :rule refl :args (@t256)) % 1.40/1.68 (step @p198 (= tptp.minvalid @t257) :rule refl :args (@t257)) % 1.40/1.68 (step @p199 (= tptp.mbox_s4 @t262) :rule refl :args (@t262)) % 1.40/1.68 (step @p200 (= tptp.mdia_s4 @t263) :rule refl :args (@t263)) % 1.40/1.68 (step @p201 :rule quant-merge-prenex :args ((= (forall @t208 @t268) (forall (@list @t7 @t1) @t267)))) % 1.40/1.68 (step @p202 :rule beta-reduce :args ((= @t270 @t268))) % 1.40/1.68 (step @p203 :rule cong :premises (@p202) :args (@t271)) % 1.40/1.68 (step @p204 :rule trans :premises (@p203 @p201)) % 1.40/1.68 (step @p205 :rule beta-reduce :args ((= (_ @t273 @t269) @t271))) % 1.40/1.68 (step @p206 :rule trans :premises (@p205 @p204)) % 1.40/1.68 (step @p207 :rule beta-reduce :args ((= @t276 @t269))) % 1.40/1.68 (step @p208 :rule refl :args (@t273)) % 1.40/1.68 (step @p209 :rule ho_cong :premises (@p208 @p207)) % 1.40/1.68 (step @p210 :rule trans :premises (@p209 @p206)) % 1.40/1.68 (step @p211 :rule refl :args (tptp.true)) % 1.40/1.68 (step @p212 :rule refl :args (@t274)) % 1.40/1.68 (step @p213 :rule refl :args (@t201)) % 1.40/1.68 (step @p214 :rule cong :premises (@p213 @p212) :args ((= @t201 @t274))) % 1.40/1.68 (step @p215 :rule symm :premises (@p214)) % 1.40/1.68 (step @p216 :rule eq_resolve :premises (@p213 @p215)) % 1.40/1.68 (step @p217 :rule refl :args (@t265)) % 1.40/1.68 (step @p218 :rule refl :args (@t258)) % 1.40/1.68 (step @p219 :rule cong :premises (@p218 @p217) :args ((= @t258 @t265))) % 1.40/1.68 (step @p220 :rule symm :premises (@p219)) % 1.40/1.68 (step @p221 :rule eq_resolve :premises (@p218 @p220)) % 1.40/1.68 (step @p222 :rule cong :premises (@p221) :args (@t259)) % 1.40/1.68 (step @p223 :rule nary_cong :premises (@p222 @p216) :args (@t260)) % 1.40/1.68 (step @p224 :rule cong :premises (@p223) :args (@t261)) % 1.40/1.68 (step @p225 :rule cong :premises (@p224) :args (@t262)) % 1.40/1.68 (step @p226 :rule trans :premises (@p199 @p225)) % 1.40/1.68 (step @p227 :rule ho_cong :premises (@p226 @p211)) % 1.40/1.68 (step 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beta-reduce :args ((= (_ (lambda @t368 (or @t443 @t367)) @t269) @t450))) % 1.40/1.69 (step @p423 :rule trans :premises (@p422 @p421)) % 1.40/1.69 (step @p424 :rule beta-reduce :args ((= @t452 @t442))) % 1.40/1.69 (step @p425 :rule cong :premises (@p424) :args (@t453)) % 1.40/1.69 (step @p426 :rule nary_cong :premises (@p425 @p354) :args (@t454)) % 1.40/1.69 (step @p427 :rule cong :premises (@p426) :args (@t455)) % 1.40/1.69 (step @p428 :rule beta-reduce :args ((= (_ @t410 @t451) @t455))) % 1.40/1.69 (step @p429 :rule trans :premises (@p428 @p427)) % 1.40/1.69 (step @p430 :rule beta-reduce :args ((= (_ (lambda @t208 (not (forall @t288 (or (not (tptp.rel_s4 @t7 @t285)) @t286)))) @t1) @t441))) % 1.40/1.69 (step @p431 :rule alpha_equiv :args (@t402 @t347 (@list @t285))) % 1.40/1.69 (step @p432 :rule cong :premises (@p431) :args (@t456)) % 1.40/1.69 (step @p433 :rule cong :premises (@p432) :args (@t457)) % 1.40/1.69 (step @p434 :rule ho_cong :premises (@p433 @p285)) % 1.40/1.69 (step @p435 :rule trans :premises (@p434 @p430)) % 1.40/1.69 (step @p436 :rule nary_cong :premises (@p298 @p435) :args (@t458)) % 1.40/1.69 (step @p437 :rule cong :premises (@p436) :args (@t459)) % 1.40/1.69 (step @p438 :rule cong :premises (@p437) :args (@t460)) % 1.40/1.69 (step @p439 :rule beta-reduce :args ((= (_ @t275 @t457) @t460))) % 1.40/1.69 (step @p440 :rule trans :premises (@p439 @p438)) % 1.40/1.69 (step @p441 :rule beta-reduce :args ((= @t461 @t402))) % 1.40/1.69 (step @p442 :rule cong :premises (@p441) :args (@t462)) % 1.40/1.69 (step @p443 :rule cong :premises (@p442) :args (@t463)) % 1.40/1.69 (step @p444 :rule beta-reduce :args ((= (_ @t197 @t403) @t463))) % 1.40/1.69 (step @p445 :rule trans :premises (@p444 @p443)) % 1.40/1.69 (step @p446 :rule refl :args (@t197)) % 1.40/1.69 (step @p447 :rule ho_cong :premises (@p446 @p374)) % 1.40/1.69 (step @p448 :rule trans :premises (@p447 @p445)) % 1.40/1.69 (step @p449 :rule ho_cong :premises (@p380 @p448)) % 1.40/1.69 (step @p450 :rule trans :premises (@p449 @p440)) % 1.40/1.69 (step @p451 :rule ho_cong :premises (@p375 @p450)) % 1.40/1.69 (step @p452 :rule trans :premises (@p451 @p429)) % 1.40/1.69 (step @p453 :rule ho_cong :premises (@p452 @p207)) % 1.40/1.69 (step @p454 :rule trans :premises (@p453 @p423)) % 1.40/1.69 (step @p455 :rule ho_cong :premises (@p380 @p454)) % 1.40/1.69 (step @p456 :rule trans :premises (@p455 @p418)) % 1.40/1.69 (step @p457 :rule refl :args (@t426)) % 1.40/1.69 (step @p458 :rule ho_cong :premises (@p457 @p456)) % 1.40/1.69 (step @p459 :rule trans :premises (@p458 @p390)) % 1.40/1.69 (step @p460 :rule ho_cong :premises (@p459 @p382)) % 1.40/1.69 (step @p461 :rule trans :premises (@p460 @p319)) % 1.40/1.69 (step @p462 :rule cong :premises (@p348) :args (@t464)) % 1.40/1.69 (step @p463 :rule nary_cong :premises (@p462 @p354) :args (@t465)) % 1.40/1.69 (step @p464 :rule cong :premises (@p463) :args (@t466)) % 1.40/1.69 (step @p465 :rule beta-reduce :args ((= (_ @t410 @t269) @t466))) % 1.40/1.69 (step @p466 :rule trans :premises (@p465 @p464)) % 1.40/1.69 (step @p467 :rule ho_cong :premises (@p375 @p207)) % 1.40/1.69 (step @p468 :rule trans :premises (@p467 @p466)) % 1.40/1.69 (step @p469 :rule ho_cong :premises (@p468 @p461)) % 1.40/1.69 (step @p470 :rule trans :premises (@p469 @p311)) % 1.40/1.69 (step @p471 :rule ho_cong :premises (@p380 @p470)) % 1.40/1.69 (step @p472 :rule trans :premises (@p471 @p305)) % 1.40/1.69 (step @p473 :rule ho_cong :premises (@p208 @p472)) % 1.40/1.69 (step @p474 :rule trans :premises (@p473 @p256)) % 1.40/1.69 (step @p475 :rule cong :premises (@p474) :args ((not (_ @t273 (_ @t275 (_ (_ @t410 @t276) (_ (_ @t426 (_ @t275 (_ (_ @t410 (_ @t275 (_ @t197 @t417))) @t276))) (_ @t275 (_ (_ @t410 @t417) @t276))))))))) % 1.40/1.69 (step @p476 :rule refl :args (@t187)) % 1.40/1.69 (step @p477 :rule ho_cong :premises (@p226 @p476)) % 1.40/1.69 (step @p478 :rule beta-reduce :args ((= (_ @t468 @t16) @t409))) % 1.40/1.69 (step @p479 :rule refl :args (@t16)) % 1.40/1.69 (step @p480 :rule beta-reduce :args ((= (_ @t470 @t198) @t468))) % 1.40/1.69 (step @p481 :rule refl :args (@t198)) % 1.40/1.69 (step @p482 :rule refl :args (@t199)) % 1.40/1.69 (step @p483 :rule beta-reduce :args ((= @t472 @t195))) % 1.40/1.69 (step @p484 :rule nary_cong :premises (@p483 @p482) :args (@t473)) % 1.40/1.69 (step @p485 :rule cong :premises (@p484) :args (@t474)) % 1.40/1.69 (step @p486 :rule beta-reduce :args ((= (_ @t200 @t471) @t474))) % 1.40/1.69 (step @p487 :rule trans :premises (@p486 @p485)) % 1.40/1.69 (step @p488 :rule beta-reduce :args ((= (_ @t197 @t193) @t471))) % 1.40/1.69 (step @p489 :rule refl :args (@t200)) % 1.40/1.69 (step @p490 :rule ho_cong :premises (@p489 @p488)) % 1.40/1.69 (step @p491 :rule trans :premises (@p490 @p487)) % 1.40/1.69 (step @p492 :rule ho_cong :premises (@p491 @p481)) % 1.40/1.69 (step @p493 :rule trans :premises (@p492 @p480)) % 1.40/1.69 (step @p494 :rule ho_cong :premises (@p493 @p479)) % 1.40/1.69 (step @p495 :rule trans :premises (@p494 @p478)) % 1.40/1.69 (step @p496 :rule refl :args (@t193)) % 1.40/1.69 (step @p497 :rule ho_cong :premises (@p171 @p496)) % 1.40/1.69 (step @p498 :rule ho_cong :premises (@p172 @p497)) % 1.40/1.69 (step @p499 :rule ho_cong :premises (@p498 @p481)) % 1.40/1.69 (step @p500 :rule ho_cong :premises (@p499 @p479)) % 1.40/1.69 (step @p501 :rule trans :premises (@p500 @p495)) % 1.40/1.69 (step @p502 :rule cong :premises (@p501) :args (@t215)) % 1.40/1.69 (step @p503 :rule trans :premises (@p177 @p502)) % 1.40/1.69 (step @p504 :rule ho_cong :premises (@p503 @p477)) % 1.40/1.69 (step @p505 :rule ho_cong :premises (@p504 @p227)) % 1.40/1.69 (step @p506 :rule ho_cong :premises (@p226 @p505)) % 1.40/1.69 (step @p507 :rule ho_cong :premises (@p171 @p477)) % 1.40/1.69 (step @p508 :rule ho_cong :premises (@p226 @p507)) % 1.40/1.69 (step @p509 :rule ho_cong :premises (@p503 @p508)) % 1.40/1.69 (step @p510 :rule ho_cong :premises (@p509 @p227)) % 1.40/1.69 (step @p511 :rule ho_cong :premises (@p226 @p510)) % 1.40/1.69 (step @p512 :rule beta-reduce :args ((= (_ (lambda @t208 (not @t476)) @t16) @t425))) % 1.40/1.69 (step @p513 :rule beta-reduce :args ((= @t478 @t476))) % 1.40/1.69 (step @p514 :rule cong :premises (@p513) :args (@t479)) % 1.40/1.69 (step @p515 :rule cong :premises (@p514) :args (@t480)) % 1.40/1.69 (step @p516 :rule beta-reduce :args ((= (_ @t197 @t477) @t480))) % 1.40/1.69 (step @p517 :rule trans :premises (@p516 @p515)) % 1.40/1.69 (step @p518 :rule beta-reduce :args ((= @t482 @t475))) % 1.40/1.69 (step @p519 :rule refl :args (@t195)) % 1.40/1.69 (step @p520 :rule nary_cong :premises (@p519 @p518) :args (@t483)) % 1.40/1.69 (step @p521 :rule cong :premises (@p520) :args (@t484)) % 1.40/1.69 (step @p522 :rule beta-reduce :args ((= (_ @t470 @t481) @t484))) % 1.40/1.69 (step @p523 :rule trans :premises (@p522 @p521)) % 1.40/1.69 (step @p524 :rule beta-reduce :args ((= (_ @t197 @t198) @t481))) % 1.40/1.69 (step @p525 :rule ho_cong :premises (@p491 @p524)) % 1.40/1.69 (step @p526 :rule trans :premises (@p525 @p523)) % 1.40/1.69 (step @p527 :rule ho_cong :premises (@p446 @p526)) % 1.40/1.69 (step @p528 :rule trans :premises (@p527 @p517)) % 1.40/1.69 (step @p529 :rule ho_cong :premises (@p528 @p479)) % 1.40/1.69 (step @p530 :rule trans :premises (@p529 @p512)) % 1.40/1.69 (step @p531 :rule ho_cong :premises (@p171 @p481)) % 1.40/1.69 (step @p532 :rule ho_cong :premises (@p498 @p531)) % 1.40/1.69 (step @p533 :rule ho_cong :premises (@p171 @p532)) % 1.40/1.69 (step @p534 :rule ho_cong :premises (@p533 @p479)) % 1.40/1.69 (step @p535 :rule trans :premises (@p534 @p530)) % 1.40/1.69 (step @p536 :rule cong :premises (@p535) :args (@t214)) % 1.40/1.69 (step @p537 :rule trans :premises (@p176 @p536)) % 1.40/1.69 (step @p538 :rule ho_cong :premises (@p537 @p511)) % 1.40/1.69 (step @p539 :rule ho_cong :premises (@p538 @p506)) % 1.40/1.69 (step @p540 :rule ho_cong :premises (@p503 @p227)) % 1.40/1.69 (step @p541 :rule ho_cong :premises (@p540 @p539)) % 1.40/1.69 (step @p542 :rule ho_cong :premises (@p226 @p541)) % 1.40/1.69 (step @p543 :rule ho_cong :premises (@p235 @p542)) % 1.40/1.69 (step @p544 :rule cong :premises (@p543) :args (@t189)) % 1.40/1.69 (step @p545 :rule trans :premises (@p544 @p475)) % 1.40/1.69 (step @p546 :rule eq_resolve :premises (@p168 @p545)) % 1.40/1.69 (step @p547 :rule skolemize :premises (@p546)) % 1.40/1.69 (step @p548 :rule cnf_or_neg :args (@t490 2)) % 1.40/1.69 (step @p549 :rule chain_m_resolution :premises (@p548 @p547) :args ((not @t489) @t491 (@list @t490))) % 1.40/1.69 (step @p550 :rule cnf_and_neg :args (@t489)) % 1.40/1.69 (step @p551 :rule chain_m_resolution :premises (@p550 @p549 @p250) :args ((not @t488) (@list true false) (@list @t489 @t307))) % 1.40/1.69 (step @p552 :rule bool-double-not-elim :args (@t486)) % 1.40/1.69 (step @p553 :rule refl :args (@t488)) % 1.40/1.69 (step @p554 :rule nary_cong :premises (@p553 @p552) :args ((or @t488 (not @t487)))) % 1.40/1.69 (step @p555 :rule cnf_or_neg :args (@t488 2)) % 1.40/1.69 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 1.40/1.69 (step @p557 :rule reordering :premises (@p556) :args ((or @t486 @t488))) % 1.40/1.69 (step @p558 :rule chain_m_resolution :premises (@p557 @p551) :args (@t486 @t491 @t492)) % 1.40/1.69 (step @p559 :rule cnf_or_neg :args (@t488 3)) % 1.40/1.69 (step @p560 :rule chain_m_resolution :premises (@p559 @p551) :args ((not @t485) @t491 @t492)) % 1.40/1.69 (step @p561 :rule cnf_or_pos :args (@t493)) % 1.40/1.69 (step @p562 :rule reordering :premises (@p561) :args ((or @t487 @t485 (not @t493)))) % 1.40/1.69 (step @p563 false :rule chain_m_resolution :premises (@p562 @p560 @p558 @p239) :args (false (@list true false false) (@list @t485 @t486 @t493))) % 1.40/1.69 ) % 1.40/1.69 % SZS output end Proof % 1.40/1.69 % cvc5 exiting %------------------------------------------------------------------------------