%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV085^7 : 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 : n025.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 09:00:29 AM UTC 2026 % Result : Theorem 1.54s 1.73s % Output : Proof 1.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV085^7 : 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 % 0.16/0.34 % Computer : n025.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:54:31 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.62 %----Proving TH0 % 1.54/1.73 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.54/1.73 % SZS status Theorem % 1.54/1.73 % SZS output start Proof % 1.54/1.73 ( % 1.54/1.73 (declare-sort tptp.mu 0) % 1.54/1.73 (declare-sort $$unsorted 0) % 1.54/1.73 (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.true (-> $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.lt (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.leq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.gt (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.qmltpeq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.n3 tptp.mu) % 1.54/1.73 (declare-const tptp.n2 tptp.mu) % 1.54/1.73 (declare-const tptp.trans (-> tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.n0 tptp.mu) % 1.54/1.73 (declare-const tptp.tptp_msub (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.inv (-> tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.sum (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.pred (-> tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.n4 tptp.mu) % 1.54/1.73 (declare-const tptp.tptp_const_array2 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.tptp_float_0_0 tptp.mu) % 1.54/1.73 (declare-const tptp.tptp_update3 (-> tptp.mu tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.dim (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.tptp_minus_1 tptp.mu) % 1.54/1.73 (declare-const tptp.plus (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.succ (-> tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.tptp_update2 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.a_select3 (-> tptp.mu tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.tptp_mmul (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.a_select2 (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.geq (-> tptp.mu tptp.mu $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.tptp_madd (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.use tptp.mu) % 1.54/1.73 (declare-const tptp.uniform_int_rnd (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.def tptp.mu) % 1.54/1.73 (declare-const tptp.minus (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.tptp_const_array1 (-> tptp.mu tptp.mu tptp.mu)) % 1.54/1.73 (declare-const tptp.mfalse (-> $$unsorted Bool)) % 1.54/1.73 (declare-const tptp.pv68 tptp.mu) % 1.54/1.73 (declare-const tptp.n5 tptp.mu) % 1.54/1.73 (declare-const tptp.n1 tptp.mu) % 1.54/1.73 (define tptp.meq_prop () (let ((_let_1 (@var "W" $$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))))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.54/1.73 (define tptp.mbox () (let ((_let_1 (@var "V" $$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))))))))) % 1.54/1.73 (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))))))) % 1.54/1.73 (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true)) % 1.54/1.73 (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.54/1.73 (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 1.54/1.73 (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.54/1.73 (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1)))))) % 1.54/1.73 (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 1.54/1.73 (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.54/1.73 (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 1.54/1.73 (define tptp.mtransitive () (let ((_let_1 (@var "U" $$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)))))))))) % 1.54/1.73 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1)))))))))) % 1.54/1.73 (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$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)))))))))) % 1.54/1.73 (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 $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1))))))))))))) % 1.54/1.73 (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$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)))))))))))) % 1.54/1.73 (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" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))) % 1.54/1.73 (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$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" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))))))) % 1.54/1.73 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 1.54/1.73 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 1.54/1.73 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.54/1.73 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 1.54/1.73 (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$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)))))))) % 1.54/1.73 (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))))) % 1.54/1.73 (define @t1 () (@var "V" $$unsorted)) % 1.54/1.73 (define @t2 () (@var "X" tptp.mu)) % 1.54/1.73 (define @t3 () (_ tptp.exists_in_world @t2)) % 1.54/1.73 (define @t4 () (_ @t3 @t1)) % 1.54/1.73 (define @t5 () (@list @t2)) % 1.54/1.73 (define @t6 () (@list @t1)) % 1.54/1.73 (define @t7 () (@var "W" $$unsorted)) % 1.54/1.73 (define @t8 () (_ @t3 @t7)) % 1.54/1.73 (define @t9 () (@var "V1" tptp.mu)) % 1.54/1.73 (define @t10 () (@var "V2" tptp.mu)) % 1.54/1.73 (define @t11 () (@list @t1 @t10 @t9)) % 1.54/1.73 (define @t12 () (@var "V3" tptp.mu)) % 1.54/1.73 (define @t13 () (@list @t1 @t12 @t10 @t9)) % 1.54/1.73 (define @t14 () (@list @t1 @t9)) % 1.54/1.73 (define @t15 () (@var "V4" tptp.mu)) % 1.54/1.73 (define @t16 () (@var "__flatten_var_0" $$unsorted)) % 1.54/1.73 (define @t17 () (_ tptp.qmltpeq @t2)) % 1.54/1.73 (define @t18 () (@list @t2 @t16)) % 1.54/1.73 (define @t19 () (@var "Y" tptp.mu)) % 1.54/1.73 (define @t20 () (_ tptp.qmltpeq @t19)) % 1.54/1.73 (define @t21 () (_ tptp.mbox_s4 (_ @t17 @t19))) % 1.54/1.73 (define @t22 () (@list @t19 @t16)) % 1.54/1.73 (define @t23 () (@var "Z" tptp.mu)) % 1.54/1.73 (define @t24 () (@list @t23 @t16)) % 1.54/1.73 (define @t25 () (@var "C" tptp.mu)) % 1.54/1.73 (define @t26 () (@var "B" tptp.mu)) % 1.54/1.73 (define @t27 () (@var "A" tptp.mu)) % 1.54/1.73 (define @t28 () (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t27) @t26))) % 1.54/1.73 (define @t29 () (_ tptp.mimplies @t28)) % 1.54/1.73 (define @t30 () (@list @t25 @t16)) % 1.54/1.73 (define @t31 () (@list @t26 @t16)) % 1.54/1.73 (define @t32 () (@list @t27 @t16)) % 1.54/1.73 (define @t33 () (_ tptp.a_select2 @t25)) % 1.54/1.73 (define @t34 () (@var "D" tptp.mu)) % 1.54/1.73 (define @t35 () (_ tptp.a_select3 @t26)) % 1.54/1.73 (define @t36 () (_ tptp.a_select3 @t27)) % 1.54/1.73 (define @t37 () (@list @t34 @t16)) % 1.54/1.73 (define @t38 () (_ tptp.a_select3 @t25)) % 1.54/1.73 (define @t39 () (_ @t38 @t34)) % 1.54/1.73 (define @t40 () (_ tptp.dim @t25)) % 1.54/1.73 (define @t41 () (_ tptp.inv @t27)) % 1.54/1.73 (define @t42 () (_ tptp.minus @t25)) % 1.54/1.73 (define @t43 () (_ tptp.plus @t25)) % 1.54/1.73 (define @t44 () (_ tptp.sum @t25)) % 1.54/1.73 (define @t45 () (_ @t44 @t34)) % 1.54/1.73 (define @t46 () (_ tptp.tptp_const_array1 @t25)) % 1.54/1.73 (define @t47 () (_ tptp.tptp_const_array2 @t25)) % 1.54/1.73 (define @t48 () (_ @t47 @t34)) % 1.54/1.73 (define @t49 () (_ tptp.tptp_madd @t27)) % 1.54/1.73 (define @t50 () (_ tptp.tptp_madd @t25)) % 1.54/1.73 (define @t51 () (_ tptp.tptp_mmul @t26)) % 1.54/1.73 (define @t52 () (_ tptp.tptp_mmul @t27)) % 1.54/1.73 (define @t53 () (_ tptp.tptp_mmul @t25)) % 1.54/1.73 (define @t54 () (_ tptp.tptp_msub @t27)) % 1.54/1.73 (define @t55 () (_ tptp.tptp_msub @t25)) % 1.54/1.73 (define @t56 () (_ tptp.tptp_update2 @t25)) % 1.54/1.73 (define @t57 () (_ @t56 @t34)) % 1.54/1.73 (define @t58 () (@var "E" tptp.mu)) % 1.54/1.73 (define @t59 () (_ tptp.tptp_update3 @t27)) % 1.54/1.73 (define @t60 () (@list @t58 @t16)) % 1.54/1.73 (define @t61 () (_ tptp.tptp_update3 @t25)) % 1.54/1.73 (define @t62 () (_ @t61 @t34)) % 1.54/1.73 (define @t63 () (_ @t62 @t58)) % 1.54/1.73 (define @t64 () (_ tptp.trans @t26)) % 1.54/1.73 (define @t65 () (_ tptp.trans @t27)) % 1.54/1.73 (define @t66 () (_ tptp.uniform_int_rnd @t25)) % 1.54/1.73 (define @t67 () (_ tptp.mand @t28)) % 1.54/1.73 (define @t68 () (_ tptp.geq @t25)) % 1.54/1.73 (define @t69 () (_ tptp.gt @t25)) % 1.54/1.73 (define @t70 () (_ tptp.leq @t25)) % 1.54/1.73 (define @t71 () (_ tptp.lt @t25)) % 1.54/1.73 (define @t72 () (_ tptp.gt @t19)) % 1.54/1.73 (define @t73 () (_ tptp.mbox_s4 (_ @t72 @t2))) % 1.54/1.73 (define @t74 () (_ tptp.gt @t2)) % 1.54/1.73 (define @t75 () (_ tptp.mbox_s4 (_ @t74 @t19))) % 1.54/1.73 (define @t76 () (_ tptp.leq @t2)) % 1.54/1.73 (define @t77 () (_ tptp.leq @t19)) % 1.54/1.73 (define @t78 () (_ tptp.mbox_s4 (_ @t76 @t19))) % 1.54/1.73 (define @t79 () (_ tptp.mand @t78)) % 1.54/1.73 (define @t80 () (_ tptp.mbox_s4 (_ (_ tptp.lt @t2) @t19))) % 1.54/1.73 (define @t81 () (_ tptp.mimplies @t73)) % 1.54/1.73 (define @t82 () (_ tptp.mbox_s4 (_ (_ tptp.geq @t2) @t19))) % 1.54/1.73 (define @t83 () (_ tptp.mbox_s4 (_ @t77 @t2))) % 1.54/1.73 (define @t84 () (_ tptp.mbox_s4 (_ @t76 (_ tptp.pred @t19)))) % 1.54/1.73 (define @t85 () (_ tptp.succ @t2)) % 1.54/1.73 (define @t86 () (_ tptp.succ @t19)) % 1.54/1.73 (define @t87 () (_ tptp.mimplies @t78)) % 1.54/1.73 (define @t88 () (_ tptp.mbox_s4 (_ (_ tptp.gt @t86) @t2))) % 1.54/1.73 (define @t89 () (_ @t66 @t2)) % 1.54/1.73 (define @t90 () (_ tptp.leq tptp.n0)) % 1.54/1.73 (define @t91 () (_ tptp.mbox_s4 (_ @t90 @t2))) % 1.54/1.73 (define @t92 () (_ tptp.mimplies @t91)) % 1.54/1.73 (define @t93 () (@var "Val" tptp.mu)) % 1.54/1.73 (define @t94 () (@var "I" tptp.mu)) % 1.54/1.73 (define @t95 () (@var "U" tptp.mu)) % 1.54/1.73 (define @t96 () (@var "L" tptp.mu)) % 1.54/1.73 (define @t97 () (_ tptp.leq @t94)) % 1.54/1.73 (define @t98 () (_ tptp.mbox_s4 (_ @t97 @t95))) % 1.54/1.73 (define @t99 () (@list @t93 @t16)) % 1.54/1.73 (define @t100 () (@list @t95 @t16)) % 1.54/1.73 (define @t101 () (@list @t94 @t16)) % 1.54/1.73 (define @t102 () (@var "J" tptp.mu)) % 1.54/1.73 (define @t103 () (@var "U2" tptp.mu)) % 1.54/1.73 (define @t104 () (@var "L2" tptp.mu)) % 1.54/1.73 (define @t105 () (@var "U1" tptp.mu)) % 1.54/1.73 (define @t106 () (@var "L1" tptp.mu)) % 1.54/1.73 (define @t107 () (_ tptp.leq @t102)) % 1.54/1.73 (define @t108 () (@list @t102 @t16)) % 1.54/1.73 (define @t109 () (_ tptp.a_select3 @t65)) % 1.54/1.73 (define @t110 () (@var "N" tptp.mu)) % 1.54/1.73 (define @t111 () (_ tptp.mbox_s4 (_ @t107 @t110))) % 1.54/1.73 (define @t112 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t102)))) % 1.54/1.73 (define @t113 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t97 @t110)))) % 1.54/1.73 (define @t114 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t94)))) % 1.54/1.73 (define @t115 () (_ tptp.mimplies (_ @t114 (_ @t113 (_ @t112 @t111))))) % 1.54/1.73 (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))))) % 1.54/1.73 (define @t117 () (_ tptp.mimplies @t116)) % 1.54/1.73 (define @t118 () (@list @t110 @t16)) % 1.54/1.73 (define @t119 () (_ tptp.a_select3 @t41)) % 1.54/1.73 (define @t120 () (@var "VAL" tptp.mu)) % 1.54/1.73 (define @t121 () (@var "K" tptp.mu)) % 1.54/1.73 (define @t122 () (_ tptp.a_select3 (_ (_ (_ @t59 @t121) @t121) @t120))) % 1.54/1.73 (define @t123 () (@list @t120 @t16)) % 1.54/1.73 (define @t124 () (_ tptp.a_select3 (_ @t49 @t26))) % 1.54/1.73 (define @t125 () (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ @t35 @t94) @t102)) (_ (_ @t35 @t102) @t94)))) % 1.54/1.73 (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))))) % 1.54/1.73 (define @t127 () (_ tptp.mand @t116)) % 1.54/1.73 (define @t128 () (_ tptp.mimplies (_ @t127 @t126))) % 1.54/1.73 (define @t129 () (_ tptp.a_select3 (_ @t54 @t26))) % 1.54/1.73 (define @t130 () (_ tptp.a_select3 (_ @t52 (_ @t51 @t65)))) % 1.54/1.73 (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))))) % 1.54/1.73 (define @t132 () (@var "M" tptp.mu)) % 1.54/1.73 (define @t133 () (_ tptp.mimplies (_ @t114 (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t97 @t132))) (_ @t112 (_ tptp.mbox_s4 (_ @t107 @t132))))))) % 1.54/1.73 (define @t134 () (@list @t132 @t16)) % 1.54/1.73 (define @t135 () (@var "F" tptp.mu)) % 1.54/1.73 (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))))) % 1.54/1.73 (define @t137 () (_ tptp.a_select3 @t135)) % 1.54/1.73 (define @t138 () (_ tptp.a_select3 @t34)) % 1.54/1.73 (define @t139 () (@var "Body" tptp.mu)) % 1.54/1.73 (define @t140 () (_ (_ (_ tptp.sum tptp.n0) tptp.tptp_minus_1) @t139)) % 1.54/1.73 (define @t141 () (@list @t139 @t16)) % 1.54/1.73 (define @t142 () (_ tptp.plus @t2)) % 1.54/1.73 (define @t143 () (_ tptp.succ @t85)) % 1.54/1.73 (define @t144 () (_ tptp.succ @t143)) % 1.54/1.73 (define @t145 () (_ tptp.succ @t144)) % 1.54/1.73 (define @t146 () (_ tptp.succ @t145)) % 1.54/1.73 (define @t147 () (_ tptp.pred @t2)) % 1.54/1.73 (define @t148 () (_ tptp.minus @t2)) % 1.54/1.73 (define @t149 () (_ tptp.leq @t85)) % 1.54/1.73 (define @t150 () (_ tptp.mbox_s4 (_ @t149 @t86))) % 1.54/1.73 (define @t151 () (@var "V" tptp.mu)) % 1.54/1.73 (define @t152 () (_ tptp.tptp_update3 @t2)) % 1.54/1.73 (define @t153 () (_ tptp.a_select3 (_ (_ (_ @t152 @t95) @t151) @t120))) % 1.54/1.73 (define @t154 () (@list @t151 @t16)) % 1.54/1.73 (define @t155 () (@var "VAL2" tptp.mu)) % 1.54/1.73 (define @t156 () (_ tptp.a_select3 @t2)) % 1.54/1.73 (define @t157 () (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t94) @t95)))))) % 1.54/1.73 (define @t158 () (@list @t155 @t16)) % 1.54/1.73 (define @t159 () (@var "J0" tptp.mu)) % 1.54/1.73 (define @t160 () (@var "I0" tptp.mu)) % 1.54/1.73 (define @t161 () (_ tptp.mbox_s4 (_ (_ tptp.leq @t160) @t95))) % 1.54/1.73 (define @t162 () (_ tptp.mand (_ tptp.mbox_s4 (_ @t90 @t160)))) % 1.54/1.73 (define @t163 () (@list @t160 @t16)) % 1.54/1.73 (define @t164 () (_ tptp.tptp_update2 @t2)) % 1.54/1.73 (define @t165 () (_ tptp.a_select2 (_ (_ @t164 @t95) @t120))) % 1.54/1.73 (define @t166 () (_ tptp.a_select2 @t2)) % 1.54/1.73 (define @t167 () (_ tptp.gt tptp.n5)) % 1.54/1.73 (define @t168 () (_ tptp.gt tptp.n4)) % 1.54/1.73 (define @t169 () (_ tptp.gt tptp.n1)) % 1.54/1.73 (define @t170 () (_ tptp.gt tptp.n2)) % 1.54/1.73 (define @t171 () (_ tptp.gt tptp.n3)) % 1.54/1.73 (define @t172 () (_ tptp.mbox_s4 (_ @t17 tptp.n4))) % 1.54/1.73 (define @t173 () (_ tptp.mbox_s4 (_ @t17 tptp.n3))) % 1.54/1.73 (define @t174 () (_ tptp.mor @t173)) % 1.54/1.73 (define @t175 () (_ tptp.mbox_s4 (_ @t17 tptp.n2))) % 1.54/1.73 (define @t176 () (_ tptp.mor @t175)) % 1.54/1.73 (define @t177 () (_ tptp.mbox_s4 (_ @t17 tptp.n1))) % 1.54/1.73 (define @t178 () (_ tptp.mor @t177)) % 1.54/1.73 (define @t179 () (_ tptp.mbox_s4 (_ @t17 tptp.n0))) % 1.54/1.73 (define @t180 () (_ tptp.mor @t179)) % 1.54/1.73 (define @t181 () (_ tptp.mand @t91)) % 1.54/1.73 (define @t182 () (_ tptp.succ tptp.n0)) % 1.54/1.73 (define @t183 () (_ tptp.succ @t182)) % 1.54/1.73 (define @t184 () (_ tptp.succ @t183)) % 1.54/1.73 (define @t185 () (_ tptp.succ @t184)) % 1.54/1.73 (define @t186 () (_ (_ tptp.minus tptp.n5) tptp.n1)) % 1.54/1.73 (define @t187 () (_ tptp.leq tptp.pv68)) % 1.54/1.73 (define @t188 () (_ @t187 @t186)) % 1.54/1.73 (define @t189 () (_ @t90 tptp.pv68)) % 1.54/1.73 (define @t190 () (_ (_ tptp.mand (_ tptp.mbox_s4 @t189)) (_ tptp.mbox_s4 @t188))) % 1.54/1.73 (define @t191 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t190) @t190))))) % 1.54/1.73 (define @t192 () (@var "Y" (-> $$unsorted Bool))) % 1.54/1.73 (define @t193 () (@var "X" (-> $$unsorted Bool))) % 1.54/1.73 (define @t194 () (lambda (@list @t193 @t192 @t7) (= (_ @t193 @t7) (_ @t192 @t7)))) % 1.54/1.73 (define @t195 () (@var "Phi" (-> $$unsorted Bool))) % 1.54/1.73 (define @t196 () (_ @t195 @t7)) % 1.54/1.73 (define @t197 () (not @t196)) % 1.54/1.73 (define @t198 () (@list @t195 @t7)) % 1.54/1.73 (define @t199 () (lambda @t198 @t197)) % 1.54/1.73 (define @t200 () (@var "Psi" (-> $$unsorted Bool))) % 1.54/1.73 (define @t201 () (_ @t200 @t7)) % 1.54/1.73 (define @t202 () (lambda (@list @t195 @t200 @t7) (or @t196 @t201))) % 1.54/1.73 (define @t203 () (_ @t195 @t1)) % 1.54/1.73 (define @t204 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 1.54/1.73 (define @t205 () (lambda (@list @t204 @t195 @t7) (forall @t6 (or (not (_ (_ @t204 @t7) @t1)) @t203)))) % 1.54/1.73 (define @t206 () (@var "P" (-> $$unsorted Bool))) % 1.54/1.73 (define @t207 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool))) % 1.54/1.73 (define @t208 () (_ @t207 @t206)) % 1.54/1.73 (define @t209 () (lambda (@list @t207 @t7) (forall (@list @t206) (_ @t208 @t7)))) % 1.54/1.73 (define @t210 () (@list @t7)) % 1.54/1.73 (define @t211 () (lambda @t210 true)) % 1.54/1.73 (define @t212 () (_ tptp.mnot @t200)) % 1.54/1.73 (define @t213 () (_ tptp.mnot @t195)) % 1.54/1.73 (define @t214 () (_ tptp.mor @t213)) % 1.54/1.73 (define @t215 () (@list @t195 @t200 @t16)) % 1.54/1.73 (define @t216 () (lambda @t215 (_ (_ tptp.mnot (_ @t214 @t212)) @t16))) % 1.54/1.73 (define @t217 () (lambda @t215 (_ (_ @t214 @t200) @t16))) % 1.54/1.73 (define @t218 () (lambda @t215 (_ (_ (_ tptp.mor @t212) @t195) @t16))) % 1.54/1.73 (define @t219 () (lambda @t215 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t195) @t200)) (_ (_ tptp.mimplies @t200) @t195)) @t16))) % 1.54/1.73 (define @t220 () (lambda @t215 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t195) @t200)) @t16))) % 1.54/1.73 (define @t221 () (lambda (@list @t204 @t195 @t16) (_ (_ tptp.mnot (_ (_ tptp.mbox @t204) @t213)) @t16))) % 1.54/1.73 (define @t222 () (@var "Phi" (-> tptp.mu $$unsorted Bool))) % 1.54/1.73 (define @t223 () (_ @t222 @t2)) % 1.54/1.73 (define @t224 () (lambda (@list @t222 @t7) (forall @t5 (=> @t8 (_ @t223 @t7))))) % 1.54/1.73 (define @t225 () (lambda (@list @t222 @t16) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mnot @t223) @t16)))) @t16))) % 1.54/1.73 (define @t226 () (lambda (@list @t207 @t16) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t206 @t16) (_ (_ tptp.mnot @t208) @t16)))) @t16))) % 1.54/1.73 (define @t227 () (@var "S" $$unsorted)) % 1.54/1.73 (define @t228 () (_ @t204 @t227)) % 1.54/1.73 (define @t229 () (@list @t227)) % 1.54/1.73 (define @t230 () (@list @t204)) % 1.54/1.73 (define @t231 () (lambda @t230 (forall @t229 (_ @t228 @t227)))) % 1.54/1.73 (define @t232 () (@var "T" $$unsorted)) % 1.54/1.73 (define @t233 () (_ @t204 @t232)) % 1.54/1.73 (define @t234 () (_ @t228 @t232)) % 1.54/1.73 (define @t235 () (lambda @t230 (forall (@list @t227 @t232) (=> @t234 (_ @t233 @t227))))) % 1.54/1.73 (define @t236 () (@list @t232)) % 1.54/1.73 (define @t237 () (lambda @t230 (forall @t229 (exists @t236 @t234)))) % 1.54/1.73 (define @t238 () (@var "U" $$unsorted)) % 1.54/1.73 (define @t239 () (_ @t228 @t238)) % 1.54/1.73 (define @t240 () (_ @t233 @t238)) % 1.54/1.73 (define @t241 () (@list @t227 @t232 @t238)) % 1.54/1.73 (define @t242 () (lambda @t230 (forall @t241 (=> (and @t234 @t240) @t239)))) % 1.54/1.73 (define @t243 () (and @t234 @t239)) % 1.54/1.73 (define @t244 () (lambda @t230 (forall @t241 (=> @t243 @t240)))) % 1.54/1.73 (define @t245 () (= @t232 @t238)) % 1.54/1.73 (define @t246 () (lambda @t230 (forall @t241 (=> @t243 @t245)))) % 1.54/1.73 (define @t247 () (@list @t238)) % 1.54/1.73 (define @t248 () (lambda @t230 (forall @t229 (exists @t236 (and @t234 (forall @t247 (=> @t239 @t245))))))) % 1.54/1.73 (define @t249 () (_ @t204 @t238)) % 1.54/1.73 (define @t250 () (_ @t249 @t232)) % 1.54/1.73 (define @t251 () (lambda @t230 (forall @t241 (=> @t234 (exists @t247 (and @t239 @t250)))))) % 1.54/1.73 (define @t252 () (lambda @t230 (forall @t241 (=> @t243 (or @t240 @t245 @t250))))) % 1.54/1.73 (define @t253 () (lambda @t230 (forall @t241 (=> @t243 (exists @t6 (and (_ @t233 @t1) (_ @t249 @t1))))))) % 1.54/1.73 (define @t254 () (forall @t210 @t196)) % 1.54/1.73 (define @t255 () (@list @t195)) % 1.54/1.73 (define @t256 () (lambda @t255 @t254)) % 1.54/1.73 (define @t257 () (lambda @t255 (exists @t210 @t196))) % 1.54/1.73 (define @t258 () (lambda @t255 (exists @t210 @t197))) % 1.54/1.73 (define @t259 () (lambda @t255 (forall @t210 @t197))) % 1.54/1.73 (define @t260 () (_ (_ tptp.rel_s4 @t7) @t1)) % 1.54/1.73 (define @t261 () (not @t260)) % 1.54/1.73 (define @t262 () (or @t261 @t203)) % 1.54/1.73 (define @t263 () (forall @t6 @t262)) % 1.54/1.73 (define @t264 () (lambda @t198 @t263)) % 1.54/1.73 (define @t265 () (lambda (@list @t195 @t16) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t213)) @t16))) % 1.54/1.73 (define @t266 () (@var "BOUND_VARIABLE_63605" $$unsorted)) % 1.54/1.73 (define @t267 () (tptp.minus tptp.n5 tptp.n1)) % 1.54/1.73 (define @t268 () (tptp.leq tptp.pv68 @t267 @t266)) % 1.54/1.73 (define @t269 () (@list @t266)) % 1.54/1.73 (define @t270 () (forall @t269 (or (not (tptp.rel_s4 @t1 @t266)) @t268))) % 1.54/1.73 (define @t271 () (not @t270)) % 1.54/1.73 (define @t272 () (@var "BOUND_VARIABLE_63614" $$unsorted)) % 1.54/1.73 (define @t273 () (tptp.leq tptp.n0 tptp.pv68 @t272)) % 1.54/1.73 (define @t274 () (@list @t272)) % 1.54/1.73 (define @t275 () (forall @t274 (or (not (tptp.rel_s4 @t1 @t272)) @t273))) % 1.54/1.73 (define @t276 () (not @t275)) % 1.54/1.73 (define @t277 () (@var "BOUND_VARIABLE_63653" $$unsorted)) % 1.54/1.73 (define @t278 () (or (not (tptp.rel_s4 @t1 @t277)) (tptp.leq tptp.pv68 @t267 @t277))) % 1.54/1.73 (define @t279 () (@var "BOUND_VARIABLE_63647" $$unsorted)) % 1.54/1.73 (define @t280 () (or (not (tptp.rel_s4 @t1 @t279)) (tptp.leq tptp.n0 tptp.pv68 @t279))) % 1.54/1.73 (define @t281 () (and @t280 @t278)) % 1.54/1.73 (define @t282 () (tptp.rel_s4 @t7 @t1)) % 1.54/1.73 (define @t283 () (not @t282)) % 1.54/1.73 (define @t284 () (or @t283 @t281 @t276 @t271)) % 1.54/1.73 (define @t285 () (forall (@list @t7 @t1 @t279 @t277) @t284)) % 1.54/1.73 (define @t286 () (forall (@list @t1 @t279 @t277) @t284)) % 1.54/1.73 (define @t287 () (lambda @t210 @t286)) % 1.54/1.73 (define @t288 () (_ @t287 @t7)) % 1.54/1.73 (define @t289 () (forall @t210 @t288)) % 1.54/1.73 (define @t290 () (_ @t195 @t7)) % 1.54/1.73 (define @t291 () (lambda @t255 (forall @t210 @t290))) % 1.54/1.73 (define @t292 () (@list @t279 @t277)) % 1.54/1.73 (define @t293 () (forall @t292 @t284)) % 1.54/1.73 (define @t294 () (forall (@list @t277) @t278)) % 1.54/1.73 (define @t295 () (@list @t266)) % 1.54/1.73 (define @t296 () (forall @t292 @t278)) % 1.54/1.73 (define @t297 () (forall (@list @t279) @t280)) % 1.54/1.73 (define @t298 () (@list @t272)) % 1.54/1.73 (define @t299 () (forall @t292 @t280)) % 1.54/1.73 (define @t300 () (and @t299 @t296)) % 1.54/1.73 (define @t301 () (forall @t292 @t281)) % 1.54/1.73 (define @t302 () (or @t283 @t301 @t276 @t271)) % 1.54/1.73 (define @t303 () (not (or @t276 @t271))) % 1.54/1.73 (define @t304 () (or @t283 @t303 @t276 @t271)) % 1.54/1.73 (define @t305 () (or @t303 @t276 @t271)) % 1.54/1.73 (define @t306 () (not (forall @t269 (or (not (tptp.rel_s4 @t16 @t266)) @t268)))) % 1.54/1.73 (define @t307 () (not (forall @t274 (or (not (tptp.rel_s4 @t16 @t272)) @t273)))) % 1.54/1.73 (define @t308 () (@list @t16)) % 1.54/1.73 (define @t309 () (tptp.leq tptp.pv68 @t267 @t1)) % 1.54/1.73 (define @t310 () (not (tptp.rel_s4 @t16 @t1))) % 1.54/1.73 (define @t311 () (forall @t6 (or @t310 @t309))) % 1.54/1.73 (define @t312 () (@list @t1)) % 1.54/1.73 (define @t313 () (not @t311)) % 1.54/1.73 (define @t314 () (tptp.leq tptp.n0 tptp.pv68 @t1)) % 1.54/1.73 (define @t315 () (forall @t6 (or @t310 @t314))) % 1.54/1.73 (define @t316 () (not @t315)) % 1.54/1.73 (define @t317 () (or @t316 @t313)) % 1.54/1.73 (define @t318 () (not @t317)) % 1.54/1.73 (define @t319 () (or @t318 @t316 @t313)) % 1.54/1.73 (define @t320 () (lambda @t308 @t319)) % 1.54/1.73 (define @t321 () (or @t283 (_ @t320 @t1))) % 1.54/1.73 (define @t322 () (forall @t6 @t321)) % 1.54/1.73 (define @t323 () (lambda @t210 @t322)) % 1.54/1.73 (define @t324 () (_ @t195 @t1)) % 1.54/1.73 (define @t325 () (lambda @t198 (forall @t6 (or @t283 @t324)))) % 1.54/1.73 (define @t326 () (lambda @t308 @t318)) % 1.54/1.73 (define @t327 () (_ @t326 @t16)) % 1.54/1.73 (define @t328 () (or @t327 @t316 @t313)) % 1.54/1.73 (define @t329 () (lambda @t308 @t328)) % 1.54/1.73 (define @t330 () (_ @t200 @t16)) % 1.54/1.73 (define @t331 () (or @t330 @t316 @t313)) % 1.54/1.73 (define @t332 () (@list @t200 @t16)) % 1.54/1.73 (define @t333 () (lambda @t210 (forall @t6 (or @t283 @t309)))) % 1.54/1.73 (define @t334 () (_ @t333 @t16)) % 1.54/1.73 (define @t335 () (not @t334)) % 1.54/1.73 (define @t336 () (or @t316 @t335)) % 1.54/1.73 (define @t337 () (not @t336)) % 1.54/1.73 (define @t338 () (lambda @t308 @t337)) % 1.54/1.73 (define @t339 () (not @t330)) % 1.54/1.73 (define @t340 () (_ @t188 @t1)) % 1.54/1.73 (define @t341 () (or @t283 @t340)) % 1.54/1.73 (define @t342 () (_ @t188 @t1)) % 1.54/1.73 (define @t343 () (or @t283 @t342)) % 1.54/1.73 (define @t344 () (forall @t6 @t343)) % 1.54/1.73 (define @t345 () (lambda @t210 @t344)) % 1.54/1.73 (define @t346 () (_ @t325 @t188)) % 1.54/1.73 (define @t347 () (lambda @t210 (forall @t6 (or @t283 @t314)))) % 1.54/1.73 (define @t348 () (_ @t347 @t16)) % 1.54/1.73 (define @t349 () (not @t348)) % 1.54/1.73 (define @t350 () (or @t349 @t339)) % 1.54/1.73 (define @t351 () (not @t350)) % 1.54/1.73 (define @t352 () (lambda @t332 @t351)) % 1.54/1.73 (define @t353 () (not (_ @t195 @t16))) % 1.54/1.73 (define @t354 () (not (or @t353 @t339))) % 1.54/1.73 (define @t355 () (lambda @t215 @t354)) % 1.54/1.73 (define @t356 () (_ @t189 @t1)) % 1.54/1.73 (define @t357 () (or @t283 @t356)) % 1.54/1.73 (define @t358 () (_ @t189 @t1)) % 1.54/1.73 (define @t359 () (or @t283 @t358)) % 1.54/1.73 (define @t360 () (forall @t6 @t359)) % 1.54/1.73 (define @t361 () (lambda @t210 @t360)) % 1.54/1.73 (define @t362 () (_ @t325 @t189)) % 1.54/1.73 (define @t363 () (not @t327)) % 1.54/1.73 (define @t364 () (or @t363 @t330)) % 1.54/1.73 (define @t365 () (lambda @t332 @t364)) % 1.54/1.73 (define @t366 () (or @t353 @t330)) % 1.54/1.73 (define @t367 () (lambda @t215 @t366)) % 1.54/1.73 (define @t368 () (_ (_ @t355 @t362) @t346)) % 1.54/1.73 (define @t369 () (not @t201)) % 1.54/1.73 (define @t370 () (or @t197 @t369)) % 1.54/1.73 (define @t371 () (lambda @t210 @t370)) % 1.54/1.73 (define @t372 () (_ @t371 @t7)) % 1.54/1.73 (define @t373 () (not @t372)) % 1.54/1.73 (define @t374 () (lambda @t210 @t373)) % 1.54/1.73 (define @t375 () (lambda @t210 @t369)) % 1.54/1.73 (define @t376 () (_ @t375 @t7)) % 1.54/1.73 (define @t377 () (or @t197 @t376)) % 1.54/1.73 (define @t378 () (lambda @t210 @t377)) % 1.54/1.73 (define @t379 () (or @t197 @t201)) % 1.54/1.73 (define @t380 () (@list @t200 @t7)) % 1.54/1.73 (define @t381 () (lambda @t380 @t379)) % 1.54/1.73 (define @t382 () (lambda @t210 @t197)) % 1.54/1.73 (define @t383 () (_ @t382 @t7)) % 1.54/1.73 (define @t384 () (or @t383 @t201)) % 1.54/1.73 (define @t385 () (lambda @t380 @t384)) % 1.54/1.73 (define @t386 () (lambda @t210 @t379)) % 1.54/1.73 (define @t387 () (@quantifiers_skolemize @t285 1)) % 1.54/1.73 (define @t388 () (forall @t269 (or (not (tptp.rel_s4 @t387 @t266)) @t268))) % 1.54/1.73 (define @t389 () (not @t388)) % 1.54/1.73 (define @t390 () (forall @t274 (or (not (tptp.rel_s4 @t387 @t272)) @t273))) % 1.54/1.73 (define @t391 () (not @t390)) % 1.54/1.73 (define @t392 () (@quantifiers_skolemize @t285 3)) % 1.54/1.73 (define @t393 () (or (not (tptp.rel_s4 @t387 @t392)) (tptp.leq tptp.pv68 @t267 @t392))) % 1.54/1.73 (define @t394 () (@quantifiers_skolemize @t285 2)) % 1.54/1.73 (define @t395 () (or (not (tptp.rel_s4 @t387 @t394)) (tptp.leq tptp.n0 tptp.pv68 @t394))) % 1.54/1.73 (define @t396 () (and @t395 @t393)) % 1.54/1.73 (define @t397 () (or (not (tptp.rel_s4 (@quantifiers_skolemize @t285 0) @t387)) @t396 @t391 @t389)) % 1.54/1.73 (define @t398 () (@list true)) % 1.54/1.73 (define @t399 () (@list @t397)) % 1.54/1.73 (define @t400 () (@list true false)) % 1.54/1.73 (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue))) % 1.54/1.73 (assume @p2 (forall @t6 (exists @t5 @t4))) % 1.54/1.73 (assume @p3 (_ tptp.mreflexive tptp.rel_s4)) % 1.54/1.73 (assume @p4 (_ tptp.mtransitive tptp.rel_s4)) % 1.54/1.73 (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8))) % 1.54/1.73 (assume @p6 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.uniform_int_rnd @t10) @t9)) @t1))) % 1.54/1.73 (assume @p7 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_const_array1 @t10) @t9)) @t1))) % 1.54/1.73 (assume @p8 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.dim @t10) @t9)) @t1))) % 1.54/1.73 (assume @p9 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.tptp_const_array2 @t12) @t10) @t9)) @t1))) % 1.54/1.73 (assume @p10 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.inv @t9)) @t1))) % 1.54/1.73 (assume @p11 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_msub @t10) @t9)) @t1))) % 1.54/1.73 (assume @p12 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.trans @t9)) @t1))) % 1.54/1.73 (assume @p13 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_mmul @t10) @t9)) @t1))) % 1.54/1.73 (assume @p14 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.tptp_madd @t10) @t9)) @t1))) % 1.54/1.73 (assume @p15 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.sum @t12) @t10) @t9)) @t1))) % 1.54/1.73 (assume @p16 (forall @t6 (_ (_ tptp.exists_in_world tptp.tptp_float_0_0) @t1))) % 1.54/1.73 (assume @p17 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.plus @t10) @t9)) @t1))) % 1.54/1.73 (assume @p18 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.pred @t9)) @t1))) % 1.54/1.73 (assume @p19 (forall (@list @t1 @t15 @t12 @t10 @t9) (_ (_ tptp.exists_in_world (_ (_ (_ (_ tptp.tptp_update3 @t15) @t12) @t10) @t9)) @t1))) % 1.54/1.73 (assume @p20 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.a_select3 @t12) @t10) @t9)) @t1))) % 1.54/1.73 (assume @p21 (forall @t13 (_ (_ tptp.exists_in_world (_ (_ (_ tptp.tptp_update2 @t12) @t10) @t9)) @t1))) % 1.54/1.73 (assume @p22 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.a_select2 @t10) @t9)) @t1))) % 1.54/1.73 (assume @p23 (forall @t6 (_ (_ tptp.exists_in_world tptp.use) @t1))) % 1.54/1.73 (assume @p24 (forall @t6 (_ (_ tptp.exists_in_world tptp.def) @t1))) % 1.54/1.73 (assume @p25 (forall @t11 (_ (_ tptp.exists_in_world (_ (_ tptp.minus @t10) @t9)) @t1))) % 1.54/1.73 (assume @p26 (forall @t6 (_ (_ tptp.exists_in_world tptp.pv68) @t1))) % 1.54/1.73 (assume @p27 (forall @t6 (_ (_ tptp.exists_in_world tptp.tptp_minus_1) @t1))) % 1.54/1.73 (assume @p28 (forall @t6 (_ (_ tptp.exists_in_world tptp.n4) @t1))) % 1.54/1.73 (assume @p29 (forall @t6 (_ (_ tptp.exists_in_world tptp.n5) @t1))) % 1.54/1.73 (assume @p30 (forall @t6 (_ (_ tptp.exists_in_world tptp.n1) @t1))) % 1.54/1.73 (assume @p31 (forall @t6 (_ (_ tptp.exists_in_world tptp.n2) @t1))) % 1.54/1.73 (assume @p32 (forall @t6 (_ (_ tptp.exists_in_world tptp.n3) @t1))) % 1.54/1.73 (assume @p33 (forall @t6 (_ (_ tptp.exists_in_world tptp.n0) @t1))) % 1.54/1.73 (assume @p34 (forall @t14 (_ (_ tptp.exists_in_world (_ tptp.succ @t9)) @t1))) % 1.54/1.73 (assume @p35 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ @t17 @t2)) @t16)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (assume @p86 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t74 @t2)))) @t16)))))) % 1.54/1.73 (assume @p87 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ @t76 @t2)) @t16)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (assume @p94 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.gt @t85) @t2)) @t16)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (assume @p109 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t141 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t140) tptp.n0)) @t16)))))) % 1.54/1.73 (assume @p110 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t141 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq tptp.tptp_float_0_0) @t140)) @t16)))))) % 1.54/1.73 (assume @p111 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ tptp.tptp_minus_1)) tptp.n0)))) % 1.54/1.73 (assume @p112 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n1)) @t85)) @t16)))))) % 1.54/1.73 (assume @p113 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n1) @t2)) @t85)) @t16)))))) % 1.54/1.73 (assume @p114 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n2)) @t143)) @t16)))))) % 1.54/1.73 (assume @p115 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n2) @t2)) @t143)) @t16)))))) % 1.54/1.73 (assume @p116 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n3)) @t144)) @t16)))))) % 1.54/1.73 (assume @p117 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n3) @t2)) @t144)) @t16)))))) % 1.54/1.73 (assume @p118 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n4)) @t145)) @t16)))))) % 1.54/1.73 (assume @p119 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n4) @t2)) @t145)) @t16)))))) % 1.54/1.73 (assume @p120 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t142 tptp.n5)) @t146)) @t16)))))) % 1.54/1.73 (assume @p121 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.plus tptp.n5) @t2)) @t146)) @t16)))))) % 1.54/1.73 (assume @p122 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t148 tptp.n1)) @t147)) @t16)))))) % 1.54/1.73 (assume @p123 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.pred @t85)) @t2)) @t16)))))) % 1.54/1.73 (assume @p124 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ @t147)) @t2)) @t16)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (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)))))) % 1.54/1.73 (assume @p134 (_ tptp.mvalid (_ tptp.mbox_s4 tptp.true))) % 1.54/1.73 (assume @p135 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq tptp.def) tptp.use)))))) % 1.54/1.73 (assume @p136 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t167 tptp.n4)))) % 1.54/1.73 (assume @p137 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.tptp_minus_1)))) % 1.54/1.73 (assume @p138 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t167 tptp.tptp_minus_1)))) % 1.54/1.73 (assume @p139 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.gt tptp.n0) tptp.tptp_minus_1)))) % 1.54/1.73 (assume @p140 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.tptp_minus_1)))) % 1.54/1.73 (assume @p141 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.tptp_minus_1)))) % 1.54/1.73 (assume @p142 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.tptp_minus_1)))) % 1.54/1.73 (assume @p143 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n0)))) % 1.54/1.73 (assume @p144 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t167 tptp.n0)))) % 1.54/1.73 (assume @p145 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t169 tptp.n0)))) % 1.54/1.73 (assume @p146 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n0)))) % 1.54/1.73 (assume @p147 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n0)))) % 1.54/1.73 (assume @p148 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n1)))) % 1.54/1.73 (assume @p149 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t167 tptp.n1)))) % 1.54/1.73 (assume @p150 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t170 tptp.n1)))) % 1.54/1.73 (assume @p151 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n1)))) % 1.54/1.73 (assume @p152 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n2)))) % 1.54/1.73 (assume @p153 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t167 tptp.n2)))) % 1.54/1.73 (assume @p154 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t171 tptp.n2)))) % 1.54/1.73 (assume @p155 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t168 tptp.n3)))) % 1.54/1.73 (assume @p156 (_ tptp.mvalid (_ tptp.mbox_s4 (_ @t167 tptp.n3)))) % 1.54/1.73 (assume @p157 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t181 (_ tptp.mbox_s4 (_ @t76 tptp.n4)))) (_ @t180 (_ @t178 (_ @t176 (_ @t174 @t172)))))) @t16)))))) % 1.54/1.73 (assume @p158 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t181 (_ tptp.mbox_s4 (_ @t76 tptp.n5)))) (_ @t180 (_ @t178 (_ @t176 (_ @t174 (_ (_ tptp.mor @t172) (_ tptp.mbox_s4 (_ @t17 tptp.n5))))))))) @t16)))))) % 1.54/1.73 (assume @p159 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t181 (_ tptp.mbox_s4 (_ @t76 tptp.n0)))) @t179)) @t16)))))) % 1.54/1.73 (assume @p160 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t181 (_ tptp.mbox_s4 (_ @t76 tptp.n1)))) (_ @t180 @t177))) @t16)))))) % 1.54/1.73 (assume @p161 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t181 (_ tptp.mbox_s4 (_ @t76 tptp.n2)))) (_ @t180 (_ @t178 @t175)))) @t16)))))) % 1.54/1.73 (assume @p162 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t18 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ @t181 (_ tptp.mbox_s4 (_ @t76 tptp.n3)))) (_ @t180 (_ @t178 (_ @t176 @t173))))) @t16)))))) % 1.54/1.73 (assume @p163 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t185) tptp.n4)))) % 1.54/1.73 (assume @p164 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.succ @t185)) tptp.n5)))) % 1.54/1.73 (assume @p165 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t182) tptp.n1)))) % 1.54/1.73 (assume @p166 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t183) tptp.n2)))) % 1.54/1.73 (assume @p167 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t184) tptp.n3)))) % 1.54/1.73 (assume @p168 @t191) % 1.54/1.73 (assume @p169 true) % 1.54/1.73 (step @p170 (= tptp.meq_prop @t194) :rule refl :args (@t194)) % 1.54/1.73 (step @p171 (= tptp.mnot @t199) :rule refl :args (@t199)) % 1.54/1.73 (step @p172 (= tptp.mor @t202) :rule refl :args (@t202)) % 1.54/1.73 (step @p173 (= tptp.mbox @t205) :rule refl :args (@t205)) % 1.54/1.73 (step @p174 (= tptp.mforall_prop @t209) :rule refl :args (@t209)) % 1.54/1.73 (step @p175 (= tptp.mtrue @t211) :rule refl :args (@t211)) % 1.54/1.73 (step @p176 (= tptp.mand @t216) :rule refl :args (@t216)) % 1.54/1.73 (step @p177 (= tptp.mimplies @t217) :rule refl :args (@t217)) % 1.54/1.73 (step @p178 (= tptp.mimplied @t218) :rule refl :args (@t218)) % 1.54/1.73 (step @p179 (= tptp.mequiv @t219) :rule refl :args (@t219)) % 1.54/1.73 (step @p180 (= tptp.mxor @t220) :rule refl :args (@t220)) % 1.54/1.73 (step @p181 (= tptp.mdia @t221) :rule refl :args (@t221)) % 1.54/1.73 (step @p182 (= tptp.mforall_ind @t224) :rule refl :args (@t224)) % 1.54/1.73 (step @p183 (= tptp.mexists_ind @t225) :rule refl :args (@t225)) % 1.54/1.73 (step @p184 (= tptp.mexists_prop @t226) :rule refl :args (@t226)) % 1.54/1.73 (step @p185 (= tptp.mreflexive @t231) :rule refl :args (@t231)) % 1.54/1.73 (step @p186 (= tptp.msymmetric @t235) :rule refl :args (@t235)) % 1.54/1.73 (step @p187 (= tptp.mserial @t237) :rule refl :args (@t237)) % 1.54/1.73 (step @p188 (= tptp.mtransitive @t242) :rule refl :args (@t242)) % 1.54/1.73 (step @p189 (= tptp.meuclidean @t244) :rule refl :args (@t244)) % 1.54/1.73 (step @p190 (= tptp.mpartially_functional @t246) :rule refl :args (@t246)) % 1.54/1.73 (step @p191 (= tptp.mfunctional @t248) :rule refl :args (@t248)) % 1.54/1.73 (step @p192 (= tptp.mweakly_dense @t251) :rule refl :args (@t251)) % 1.54/1.73 (step @p193 (= tptp.mweakly_connected @t252) :rule refl :args (@t252)) % 1.54/1.73 (step @p194 (= tptp.mweakly_directed @t253) :rule refl :args (@t253)) % 1.54/1.73 (step @p195 (= tptp.mvalid @t256) :rule refl :args (@t256)) % 1.54/1.73 (step @p196 (= tptp.msatisfiable @t257) :rule refl :args (@t257)) % 1.54/1.73 (step @p197 (= tptp.mcountersatisfiable @t258) :rule refl :args (@t258)) % 1.54/1.73 (step @p198 (= tptp.minvalid @t259) :rule refl :args (@t259)) % 1.54/1.73 (step @p199 (= tptp.mbox_s4 @t264) :rule refl :args (@t264)) % 1.54/1.73 (step @p200 (= tptp.mdia_s4 @t265) :rule refl :args (@t265)) % 1.54/1.73 (step @p201 :rule quant-merge-prenex :args ((= (forall @t210 @t286) @t285))) % 1.54/1.73 (step @p202 :rule beta-reduce :args ((= @t288 @t286))) % 1.54/1.73 (step @p203 :rule cong :premises (@p202) :args (@t289)) % 1.54/1.73 (step @p204 :rule trans :premises (@p203 @p201)) % 1.54/1.73 (step @p205 :rule beta-reduce :args ((= (_ @t291 @t287) @t289))) % 1.54/1.73 (step @p206 :rule trans :premises (@p205 @p204)) % 1.54/1.73 (step @p207 :rule quant-merge-prenex :args ((= (forall @t6 @t293) @t286))) % 1.54/1.73 (step @p208 :rule refl :args (@t271)) % 1.54/1.73 (step @p209 :rule refl :args (@t276)) % 1.54/1.73 (step @p210 :rule alpha_equiv :args (@t294 (@list @t277) @t295)) % 1.54/1.73 (step @p211 :rule quant-unused-vars :args ((= @t296 @t294))) % 1.54/1.73 (step @p212 :rule trans :premises (@p211 @p210)) % 1.54/1.73 (step @p213 :rule alpha_equiv :args (@t297 (@list @t279) @t298)) % 1.54/1.73 (step @p214 :rule quant-unused-vars :args ((= @t299 @t297))) % 1.54/1.73 (step @p215 :rule trans :premises (@p214 @p213)) % 1.54/1.73 (step @p216 :rule nary_cong :premises (@p215 @p212) :args (@t300)) % 1.54/1.73 (step @p217 :rule quant-miniscope-and :args ((= @t301 @t300))) % 1.54/1.73 (step @p218 :rule trans :premises (@p217 @p216)) % 1.54/1.73 (step @p219 :rule refl :args (@t283)) % 1.54/1.73 (step @p220 :rule nary_cong :premises (@p219 @p218 @p209 @p208) :args (@t302)) % 1.54/1.73 (step @p221 :rule quant-miniscope-or :args ((= @t293 @t302))) % 1.54/1.73 (step @p222 :rule trans :premises (@p221 @p220)) % 1.54/1.73 (step @p223 :rule symm :premises (@p222)) % 1.54/1.73 (step @p224 :rule cong :premises (@p223) :args ((forall @t6 (or @t283 (and @t275 @t270) @t276 @t271)))) % 1.54/1.73 (step @p225 :rule trans :premises (@p224 @p207)) % 1.54/1.73 (step @p226 :rule bool-double-not-elim :args (@t270)) % 1.54/1.73 (step @p227 :rule bool-double-not-elim :args (@t275)) % 1.54/1.73 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((and (not @t276) (not @t271)))) % 1.54/1.73 (step @p229 :rule bool-or-de-morgan :args (@t276 @t271 false)) % 1.54/1.73 (step @p230 :rule trans :premises (@p229 @p228)) % 1.54/1.73 (step @p231 :rule nary_cong :premises (@p219 @p230 @p209 @p208) :args (@t304)) % 1.54/1.73 (step @p232 :rule cong :premises (@p231) :args ((forall @t6 @t304))) % 1.54/1.73 (step @p233 :rule trans :premises (@p232 @p225)) % 1.54/1.73 (step @p234 :rule aci_norm :args ((= (or @t283 @t305) @t304))) % 1.54/1.73 (step @p235 :rule beta-reduce :args ((= (_ (lambda @t308 (or (not (or @t307 @t306)) @t307 @t306)) @t1) @t305))) % 1.54/1.73 (step @p236 :rule refl :args (@t1)) % 1.54/1.73 (step @p237 :rule alpha_equiv :args (@t311 @t312 @t295)) % 1.54/1.73 (step @p238 :rule cong :premises (@p237) :args (@t313)) % 1.54/1.73 (step @p239 :rule alpha_equiv :args (@t315 @t312 @t298)) % 1.54/1.73 (step @p240 :rule cong :premises (@p239) :args (@t316)) % 1.54/1.73 (step @p241 :rule nary_cong :premises (@p240 @p238) :args (@t317)) % 1.54/1.73 (step @p242 :rule cong :premises (@p241) :args (@t318)) % 1.54/1.73 (step @p243 :rule nary_cong :premises (@p242 @p240 @p238) :args (@t319)) % 1.54/1.73 (step @p244 :rule cong :premises (@p243) :args (@t320)) % 1.54/1.73 (step @p245 :rule ho_cong :premises (@p244 @p236)) % 1.54/1.73 (step @p246 :rule trans :premises (@p245 @p235)) % 1.54/1.73 (step @p247 :rule refl :args (@t283)) % 1.54/1.73 (step @p248 :rule nary_cong :premises (@p247 @p246) :args (@t321)) % 1.54/1.73 (step @p249 :rule trans :premises (@p248 @p234)) % 1.54/1.73 (step @p250 :rule cong :premises (@p249) :args (@t322)) % 1.54/1.73 (step @p251 :rule trans :premises (@p250 @p233)) % 1.54/1.73 (step @p252 :rule cong :premises (@p251) :args (@t323)) % 1.54/1.73 (step @p253 :rule beta-reduce :args ((= (_ @t325 @t320) @t323))) % 1.54/1.73 (step @p254 :rule trans :premises (@p253 @p252)) % 1.54/1.73 (step @p255 :rule refl :args (@t313)) % 1.54/1.73 (step @p256 :rule refl :args (@t316)) % 1.54/1.73 (step @p257 :rule beta-reduce :args ((= @t327 @t318))) % 1.54/1.73 (step @p258 :rule nary_cong :premises (@p257 @p256 @p255) :args (@t328)) % 1.54/1.73 (step @p259 :rule cong :premises (@p258) :args (@t329)) % 1.54/1.73 (step @p260 :rule beta-reduce :args ((= (_ (lambda @t332 @t331) @t326) @t329))) % 1.54/1.73 (step @p261 :rule trans :premises (@p260 @p259)) % 1.54/1.73 (step @p262 :rule beta-reduce :args ((= @t334 @t311))) % 1.54/1.73 (step @p263 :rule cong :premises (@p262) :args (@t335)) % 1.54/1.73 (step @p264 :rule nary_cong :premises (@p256 @p263) :args (@t336)) % 1.54/1.73 (step @p265 :rule cong :premises (@p264) :args (@t337)) % 1.54/1.73 (step @p266 :rule cong :premises (@p265) :args (@t338)) % 1.54/1.73 (step @p267 :rule beta-reduce :args ((= (_ (lambda @t332 (not (or @t316 @t339))) @t333) @t338))) % 1.54/1.73 (step @p268 :rule trans :premises (@p267 @p266)) % 1.54/1.73 (step @p269 :rule refl :args ((tptp.leq tptp.pv68 @t186 @t1))) % 1.54/1.73 (step @p270 :rule refl :args (@t267)) % 1.54/1.73 (step @p271 :rule refl :args (tptp.pv68)) % 1.54/1.73 (step @p272 :rule cong :premises (@p271 @p270 @p236) :args (@t309)) % 1.54/1.73 (step @p273 :rule trans :premises (@p272 @p269)) % 1.54/1.73 (step @p274 :rule refl :args (@t187)) % 1.54/1.73 (step @p275 :rule ho_cong :premises (@p274 @p270)) % 1.54/1.73 (step @p276 :rule ho_cong :premises (@p275 @p236)) % 1.54/1.73 (step @p277 :rule cong :premises (@p276 @p273) :args ((= (_ (_ @t187 @t267) @t1) @t309))) % 1.54/1.73 (step @p278 :rule symm :premises (@p277)) % 1.54/1.73 (step @p279 :rule refl :args (@t340)) % 1.54/1.73 (step @p280 :rule eq_resolve :premises (@p279 @p278)) % 1.54/1.73 (step @p281 :rule refl :args (@t186)) % 1.54/1.73 (step @p282 :rule cong :premises (@p281 @p270) :args ((= @t186 @t267))) % 1.54/1.73 (step @p283 :rule symm :premises (@p282)) % 1.54/1.73 (step @p284 :rule eq_resolve :premises (@p281 @p283)) % 1.54/1.73 (step @p285 :rule ho_cong :premises (@p274 @p284)) % 1.54/1.73 (step @p286 :rule ho_cong :premises (@p285 @p236)) % 1.54/1.73 (step @p287 :rule trans :premises (@p286 @p280)) % 1.54/1.73 (step @p288 :rule nary_cong :premises (@p219 @p287) :args (@t341)) % 1.54/1.73 (step @p289 :rule cong :premises (@p288) :args ((forall @t6 @t341))) % 1.54/1.73 (step @p290 :rule refl :args (@t342)) % 1.54/1.73 (step @p291 :rule nary_cong :premises (@p247 @p290) :args (@t343)) % 1.54/1.73 (step @p292 :rule cong :premises (@p291) :args (@t344)) % 1.54/1.73 (step @p293 :rule trans :premises (@p292 @p289)) % 1.54/1.73 (step @p294 :rule cong :premises (@p293) :args (@t345)) % 1.54/1.73 (step @p295 :rule beta-reduce :args ((= @t346 @t345))) % 1.54/1.73 (step @p296 :rule trans :premises (@p295 @p294)) % 1.54/1.73 (step @p297 :rule refl :args (@t339)) % 1.54/1.73 (step @p298 :rule beta-reduce :args ((= @t348 @t315))) % 1.54/1.73 (step @p299 :rule cong :premises (@p298) :args (@t349)) % 1.54/1.73 (step @p300 :rule nary_cong :premises (@p299 @p297) :args (@t350)) % 1.54/1.73 (step @p301 :rule cong :premises (@p300) :args (@t351)) % 1.54/1.73 (step @p302 :rule cong :premises (@p301) :args (@t352)) % 1.54/1.73 (step @p303 :rule beta-reduce :args ((= (_ @t355 @t347) @t352))) % 1.54/1.73 (step @p304 :rule trans :premises (@p303 @p302)) % 1.54/1.73 (step @p305 :rule refl :args (@t314)) % 1.54/1.73 (step @p306 :rule refl :args (@t356)) % 1.54/1.73 (step @p307 :rule cong 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(step @p338 :rule trans :premises (@p337 @p261)) % 1.54/1.73 (step @p339 :rule refl :args (@t325)) % 1.54/1.73 (step @p340 :rule ho_cong :premises (@p339 @p338)) % 1.54/1.73 (step @p341 :rule trans :premises (@p340 @p254)) % 1.54/1.73 (step @p342 :rule refl :args (@t291)) % 1.54/1.73 (step @p343 :rule ho_cong :premises (@p342 @p341)) % 1.54/1.73 (step @p344 :rule trans :premises (@p343 @p206)) % 1.54/1.73 (step @p345 :rule cong :premises (@p344) :args ((not (_ @t291 (_ @t325 (_ (_ @t367 @t368) @t368)))))) % 1.54/1.73 (step @p346 :rule refl :args (@t188)) % 1.54/1.73 (step @p347 :rule refl :args (@t324)) % 1.54/1.73 (step @p348 :rule refl :args (@t203)) % 1.54/1.73 (step @p349 :rule cong :premises (@p348 @p347) :args ((= @t203 @t324))) % 1.54/1.73 (step @p350 :rule symm :premises (@p349)) % 1.54/1.73 (step @p351 :rule eq_resolve :premises (@p348 @p350)) % 1.54/1.73 (step @p352 :rule refl :args (@t282)) % 1.54/1.73 (step @p353 :rule refl :args (@t260)) % 1.54/1.73 (step @p354 :rule cong 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cong :premises (@p368) :args (@t374)) % 1.54/1.73 (step @p370 :rule beta-reduce :args ((= (_ @t199 @t371) @t374))) % 1.54/1.73 (step @p371 :rule trans :premises (@p370 @p369)) % 1.54/1.73 (step @p372 :rule beta-reduce :args ((= @t376 @t369))) % 1.54/1.73 (step @p373 :rule refl :args (@t197)) % 1.54/1.73 (step @p374 :rule nary_cong :premises (@p373 @p372) :args (@t377)) % 1.54/1.73 (step @p375 :rule cong :premises (@p374) :args (@t378)) % 1.54/1.73 (step @p376 :rule beta-reduce :args ((= (_ @t381 @t375) @t378))) % 1.54/1.73 (step @p377 :rule trans :premises (@p376 @p375)) % 1.54/1.73 (step @p378 :rule beta-reduce :args ((= (_ @t199 @t200) @t375))) % 1.54/1.73 (step @p379 :rule refl :args (@t201)) % 1.54/1.73 (step @p380 :rule beta-reduce :args ((= @t383 @t197))) % 1.54/1.73 (step @p381 :rule nary_cong :premises (@p380 @p379) :args (@t384)) % 1.54/1.73 (step @p382 :rule cong :premises (@p381) :args (@t385)) % 1.54/1.73 (step @p383 :rule beta-reduce :args ((= (_ @t202 @t382) @t385))) % 1.54/1.73 (step @p384 :rule trans :premises (@p383 @p382)) % 1.54/1.73 (step @p385 :rule beta-reduce :args ((= (_ @t199 @t195) @t382))) % 1.54/1.73 (step @p386 :rule refl :args (@t202)) % 1.54/1.73 (step @p387 :rule ho_cong :premises (@p386 @p385)) % 1.54/1.73 (step @p388 :rule trans :premises (@p387 @p384)) % 1.54/1.73 (step @p389 :rule ho_cong :premises (@p388 @p378)) % 1.54/1.73 (step @p390 :rule trans :premises (@p389 @p377)) % 1.54/1.73 (step @p391 :rule refl :args (@t199)) % 1.54/1.73 (step @p392 :rule ho_cong :premises (@p391 @p390)) % 1.54/1.73 (step @p393 :rule trans :premises (@p392 @p371)) % 1.54/1.73 (step @p394 :rule ho_cong :premises (@p393 @p366)) % 1.54/1.73 (step @p395 :rule trans :premises (@p394 @p365)) % 1.54/1.73 (step @p396 :rule refl :args (@t200)) % 1.54/1.73 (step @p397 :rule ho_cong :premises (@p171 @p396)) % 1.54/1.73 (step @p398 :rule refl :args (@t195)) % 1.54/1.73 (step @p399 :rule ho_cong :premises (@p171 @p398)) % 1.54/1.73 (step @p400 :rule ho_cong :premises (@p172 @p399)) % 1.54/1.73 (step @p401 :rule ho_cong :premises (@p400 @p397)) % 1.54/1.73 (step @p402 :rule ho_cong :premises (@p171 @p401)) % 1.54/1.73 (step @p403 :rule ho_cong :premises (@p402 @p366)) % 1.54/1.73 (step @p404 :rule trans :premises (@p403 @p395)) % 1.54/1.73 (step @p405 :rule cong :premises (@p404) :args (@t216)) % 1.54/1.74 (step @p406 :rule trans :premises (@p176 @p405)) % 1.54/1.74 (step @p407 :rule ho_cong :premises (@p406 @p364)) % 1.54/1.74 (step @p408 :rule ho_cong :premises (@p407 @p362)) % 1.54/1.74 (step @p409 :rule beta-reduce :args ((= (_ @t386 @t16) @t366))) % 1.54/1.74 (step @p410 :rule beta-reduce :args ((= (_ @t381 @t200) @t386))) % 1.54/1.74 (step @p411 :rule ho_cong :premises (@p388 @p396)) % 1.54/1.74 (step @p412 :rule trans :premises (@p411 @p410)) % 1.54/1.74 (step @p413 :rule ho_cong :premises (@p412 @p366)) % 1.54/1.74 (step @p414 :rule trans :premises (@p413 @p409)) % 1.54/1.74 (step @p415 :rule ho_cong :premises (@p400 @p396)) % 1.54/1.74 (step @p416 :rule ho_cong :premises (@p415 @p366)) % 1.54/1.74 (step @p417 :rule trans :premises (@p416 @p414)) % 1.54/1.74 (step @p418 :rule cong :premises (@p417) :args (@t217)) % 1.54/1.74 (step @p419 :rule trans :premises (@p177 @p418)) % 1.54/1.74 (step @p420 :rule ho_cong :premises (@p419 @p408)) % 1.54/1.74 (step @p421 :rule ho_cong :premises (@p420 @p408)) % 1.54/1.74 (step @p422 :rule ho_cong :premises (@p361 @p421)) % 1.54/1.74 (step @p423 :rule refl :args (@t290)) % 1.54/1.74 (step @p424 :rule refl :args (@t196)) % 1.54/1.74 (step @p425 :rule cong :premises (@p424 @p423) :args ((= @t196 @t290))) % 1.54/1.74 (step @p426 :rule symm :premises (@p425)) % 1.54/1.74 (step @p427 :rule eq_resolve :premises (@p424 @p426)) % 1.54/1.74 (step @p428 :rule cong :premises (@p427) :args (@t254)) % 1.54/1.74 (step @p429 :rule cong :premises (@p428) :args (@t256)) % 1.54/1.74 (step @p430 :rule trans :premises (@p195 @p429)) % 1.54/1.74 (step @p431 :rule ho_cong :premises (@p430 @p422)) % 1.54/1.74 (step @p432 :rule cong :premises (@p431) :args (@t191)) % 1.54/1.74 (step @p433 :rule trans :premises (@p432 @p345)) % 1.54/1.74 (step @p434 :rule eq_resolve :premises (@p168 @p433)) % 1.54/1.74 (step @p435 :rule skolemize :premises (@p434)) % 1.54/1.74 (step @p436 :rule bool-double-not-elim :args (@t388)) % 1.54/1.74 (step @p437 :rule refl :args (@t397)) % 1.54/1.74 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or @t397 (not @t389)))) % 1.54/1.74 (step @p439 :rule cnf_or_neg :args (@t397 3)) % 1.54/1.74 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 1.54/1.74 (step @p441 :rule reordering :premises (@p440) :args ((or @t388 @t397))) % 1.54/1.74 (step @p442 :rule chain_m_resolution :premises (@p441 @p435) :args (@t388 @t398 @t399)) % 1.54/1.74 (step @p443 :rule bool-double-not-elim :args (@t390)) % 1.54/1.74 (step @p444 :rule nary_cong :premises (@p437 @p443) :args ((or @t397 (not @t391)))) % 1.54/1.74 (step @p445 :rule cnf_or_neg :args (@t397 2)) % 1.54/1.74 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 1.54/1.74 (step @p447 :rule reordering :premises (@p446) :args ((or @t390 @t397))) % 1.54/1.74 (step @p448 :rule chain_m_resolution :premises (@p447 @p435) :args (@t390 @t398 @t399)) % 1.54/1.74 (step @p449 :rule instantiate :premises (@p448) :args ((@list @t394))) % 1.54/1.74 (step @p450 :rule cnf_or_neg :args (@t397 1)) % 1.54/1.74 (step @p451 :rule chain_m_resolution :premises (@p450 @p435) :args ((not @t396) @t398 @t399)) % 1.54/1.74 (step @p452 :rule cnf_and_neg :args (@t396)) % 1.54/1.74 (step @p453 :rule chain_m_resolution :premises (@p452 @p451 @p449) :args ((not @t393) @t400 (@list @t396 @t395))) % 1.54/1.74 (assume-push @p461 @t388) % 1.54/1.74 (step @p455 :rule instantiate :premises (@p442) :args ((@list @t392))) % 1.54/1.74 (step-pop @p462 :rule scope :premises (@p455)) % 1.54/1.74 (step @p456 :rule process_scope :premises (@p462) :args (@t393)) % 1.54/1.74 (step @p458 :rule implies_elim :premises (@p456)) % 1.54/1.74 (step @p459 :rule reordering :premises (@p458) :args ((or @t393 @t389))) % 1.54/1.74 (step @p460 false :rule chain_m_resolution :premises (@p459 @p453 @p442) :args (false @t400 (@list @t393 @t388))) % 1.54/1.74 ) % 1.54/1.74 % SZS output end Proof % 1.54/1.74 % cvc5 exiting %------------------------------------------------------------------------------