%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU490^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:51:56 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU490^1 : TPTP v9.2.1. Released v3.6.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:37:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.45/0.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.45/0.69 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.45/0.69 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.45/0.69 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.45/0.69 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.45/0.69 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.45/0.69 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.45/0.69 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.69 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.45/0.69 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.45/0.69 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.45/0.69 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.69 (define tptp.trans () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "Y" $$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)))))))))) % 0.45/0.69 (define tptp.tc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_1) (forall (@list _let_3) (=> (and (_ tptp.trans _let_3) (_ (_ tptp.subrel _let_4) _let_3)) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.45/0.69 (define tptp.trc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.rc (_ tptp.tc _let_3)) _let_2) _let_1)))))) % 0.45/0.69 (define tptp.trsc () (let ((_let_1 (@var "__flatten_var_1" $$unsorted))) (let ((_let_2 (@var "__flatten_var_0" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.sc (_ tptp.rc (_ tptp.tc _let_3))) _let_2) _let_1)))))) % 0.45/0.69 (define tptp.po () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.refl _let_1) (_ tptp.antisymm _let_1) (_ tptp.trans _let_1))))) % 0.45/0.69 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.45/0.69 (define tptp.total () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (or (= _let_1 _let_2) (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.45/0.69 (define tptp.term () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "A" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.45/0.69 (define tptp.ind () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (let ((_let_4 (@list _let_1))) (let ((_let_5 (@var "Y" $$unsorted))) (let ((_let_6 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_6) (forall (@list _let_2) (=> (forall _let_4 (=> (forall (@list _let_5) (=> (_ (_ (_ tptp.tc _let_6) _let_1) _let_5) (_ _let_2 _let_5))) _let_3)) (forall _let_4 _let_3))))))))))) % 0.45/0.69 (define tptp.innf () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2) (not (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.45/0.69 (define tptp.nfof () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "Y" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (and (_ (_ (_ tptp.trc _let_2) _let_3) _let_1) (_ (_ tptp.innf _let_2) _let_1))))))) % 0.45/0.69 (define tptp.norm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1) (exists (@list _let_2) (_ (_ (_ tptp.nfof _let_3) _let_2) _let_1)))))))) % 0.45/0.69 (define tptp.join () (let ((_let_1 (@var "Z" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ tptp.trc _let_3))) (let ((_let_5 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.45/0.69 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))) % 0.45/0.69 (define tptp.sconfl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.45/0.69 (define tptp.confl () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "Z" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "X" $$unsorted))) (let ((_let_5 (_ (_ tptp.trc _let_3) _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))))) % 0.45/0.69 (define tptp.cr () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ (_ tptp.trsc _let_3) _let_2) _let_1) (_ (_ (_ tptp.join _let_3) _let_2) _let_1)))))))) % 0.45/0.69 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t2 () (=> (_ tptp.sconfl @t1) (_ tptp.cr @t1))) % 0.45/0.69 (define @t3 () (@list @t1)) % 0.45/0.69 (define @t4 () (forall @t3 @t2)) % 0.45/0.69 (define @t5 () (not @t4)) % 0.45/0.69 (define @t6 () (@var "Y" $$unsorted)) % 0.45/0.69 (define @t7 () (@var "X" $$unsorted)) % 0.45/0.69 (define @t8 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t9 () (_ (_ @t8 @t7) @t6)) % 0.45/0.69 (define @t10 () (_ @t1 @t7)) % 0.45/0.69 (define @t11 () (_ @t10 @t6)) % 0.45/0.69 (define @t12 () (@list @t7 @t6)) % 0.45/0.69 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.45/0.69 (define @t14 () (@list @t1 @t8)) % 0.45/0.69 (define @t15 () (lambda @t14 @t13)) % 0.45/0.69 (define @t16 () (_ @t1 @t6)) % 0.45/0.69 (define @t17 () (_ @t16 @t7)) % 0.45/0.69 (define @t18 () (@list @t1 @t7 @t6)) % 0.45/0.69 (define @t19 () (lambda @t18 @t17)) % 0.45/0.69 (define @t20 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t21 () (_ @t20 @t1)) % 0.45/0.69 (define @t22 () (@list @t20)) % 0.45/0.69 (define @t23 () (lambda @t22 (forall @t3 (= (_ @t20 @t21) @t21)))) % 0.45/0.69 (define @t24 () (_ tptp.subrel @t1)) % 0.45/0.69 (define @t25 () (lambda @t22 (forall @t3 (_ @t24 @t21)))) % 0.45/0.69 (define @t26 () (_ @t24 @t8)) % 0.45/0.69 (define @t27 () (lambda @t22 (forall @t14 (=> @t26 (_ (_ tptp.subrel @t21) (_ @t20 @t8)))))) % 0.45/0.69 (define @t28 () (_ @t10 @t7)) % 0.45/0.69 (define @t29 () (@list @t7)) % 0.45/0.69 (define @t30 () (lambda @t3 (forall @t29 @t28))) % 0.45/0.69 (define @t31 () (lambda @t3 (forall @t29 (not @t28)))) % 0.45/0.69 (define @t32 () (= @t7 @t6)) % 0.45/0.69 (define @t33 () (lambda @t18 (or @t32 @t11))) % 0.45/0.69 (define @t34 () (lambda @t3 (forall @t12 (=> @t11 @t17)))) % 0.45/0.69 (define @t35 () (lambda @t3 (forall @t12 (=> (and @t11 @t17) @t32)))) % 0.45/0.69 (define @t36 () (lambda @t3 (forall @t12 (=> @t11 (not @t17))))) % 0.45/0.69 (define @t37 () (lambda @t18 (or @t17 @t11))) % 0.45/0.69 (define @t38 () (@var "Z" $$unsorted)) % 0.45/0.69 (define @t39 () (_ @t10 @t38)) % 0.45/0.69 (define @t40 () (_ @t16 @t38)) % 0.45/0.69 (define @t41 () (and @t11 @t40)) % 0.45/0.69 (define @t42 () (@list @t7 @t6 @t38)) % 0.45/0.69 (define @t43 () (forall @t42 (=> @t41 @t39))) % 0.45/0.69 (define @t44 () (lambda @t3 @t43)) % 0.45/0.69 (define @t45 () (and (_ tptp.trans @t8) @t26)) % 0.45/0.69 (define @t46 () (=> @t45 @t9)) % 0.45/0.69 (define @t47 () (@list @t8)) % 0.45/0.69 (define @t48 () (forall @t47 @t46)) % 0.45/0.69 (define @t49 () (lambda @t18 @t48)) % 0.45/0.69 (define @t50 () (@var "__flatten_var_1" $$unsorted)) % 0.45/0.69 (define @t51 () (@var "__flatten_var_0" $$unsorted)) % 0.45/0.69 (define @t52 () (_ tptp.tc @t1)) % 0.45/0.69 (define @t53 () (_ tptp.rc @t52)) % 0.45/0.69 (define @t54 () (@list @t1 @t51 @t50)) % 0.45/0.69 (define @t55 () (lambda @t54 (_ (_ @t53 @t51) @t50))) % 0.45/0.69 (define @t56 () (lambda @t54 (_ (_ (_ tptp.sc @t53) @t51) @t50))) % 0.45/0.69 (define @t57 () (_ tptp.trans @t1)) % 0.45/0.69 (define @t58 () (lambda @t3 (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t57))) % 0.45/0.69 (define @t59 () (lambda @t3 (and (_ tptp.asymm @t1) @t57))) % 0.45/0.69 (define @t60 () (lambda @t3 (forall @t12 (or @t32 @t11 @t17)))) % 0.45/0.69 (define @t61 () (not @t11)) % 0.45/0.69 (define @t62 () (@var "A" (-> $$unsorted Bool))) % 0.45/0.69 (define @t63 () (@list @t6)) % 0.45/0.69 (define @t64 () (_ @t62 @t7)) % 0.45/0.69 (define @t65 () (lambda @t3 (forall (@list @t62) (=> (exists @t29 @t64) (exists @t29 (and @t64 (forall @t63 (=> (_ @t62 @t6) @t61)))))))) % 0.45/0.69 (define @t66 () (@var "P" (-> $$unsorted Bool))) % 0.45/0.69 (define @t67 () (_ @t66 @t7)) % 0.45/0.69 (define @t68 () (lambda @t3 (forall (@list @t66) (=> (forall @t29 (=> (forall @t63 (=> (_ (_ @t52 @t7) @t6) (_ @t66 @t6))) @t67)) (forall @t29 @t67))))) % 0.45/0.69 (define @t69 () (lambda (@list @t1 @t7) (not (exists @t63 @t11)))) % 0.45/0.69 (define @t70 () (_ tptp.trc @t1)) % 0.45/0.69 (define @t71 () (_ @t70 @t6)) % 0.45/0.69 (define @t72 () (lambda @t18 (and (_ @t71 @t7) (_ (_ tptp.innf @t1) @t7)))) % 0.45/0.69 (define @t73 () (lambda @t3 (forall @t29 (exists @t63 (_ (_ (_ tptp.nfof @t1) @t6) @t7))))) % 0.45/0.69 (define @t74 () (_ @t70 @t7)) % 0.45/0.69 (define @t75 () (_ @t74 @t38)) % 0.45/0.69 (define @t76 () (and @t75 (_ @t71 @t38))) % 0.45/0.69 (define @t77 () (@list @t38)) % 0.45/0.69 (define @t78 () (exists @t77 @t76)) % 0.45/0.69 (define @t79 () (lambda @t18 @t78)) % 0.45/0.69 (define @t80 () (_ tptp.join @t1)) % 0.45/0.69 (define @t81 () (_ (_ @t80 @t38) @t6)) % 0.45/0.69 (define @t82 () (lambda @t3 (forall @t42 (=> (and @t39 @t11) @t81)))) % 0.45/0.69 (define @t83 () (_ @t74 @t6)) % 0.45/0.69 (define @t84 () (and @t39 @t83)) % 0.45/0.69 (define @t85 () (=> @t84 @t81)) % 0.45/0.69 (define @t86 () (forall @t42 @t85)) % 0.45/0.69 (define @t87 () (lambda @t3 @t86)) % 0.45/0.69 (define @t88 () (lambda @t3 (forall @t42 (=> (and @t75 @t83) @t81)))) % 0.45/0.69 (define @t89 () (=> (_ (_ (_ tptp.trsc @t1) @t7) @t6) (_ (_ @t80 @t7) @t6))) % 0.45/0.69 (define @t90 () (forall @t12 @t89)) % 0.45/0.69 (define @t91 () (lambda @t3 @t90)) % 0.45/0.69 (define @t92 () (@var "BOUND_VARIABLE_8840" $$unsorted)) % 0.45/0.69 (define @t93 () (@var "BOUND_VARIABLE_8838" $$unsorted)) % 0.45/0.69 (define @t94 () (@var "BOUND_VARIABLE_8844" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t95 () (_ @t94 @t93 @t92)) % 0.45/0.69 (define @t96 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.45/0.69 (define @t97 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.45/0.69 (define @t98 () (not (_ @t1 @t97 @t96))) % 0.45/0.69 (define @t99 () (@list @t97 @t96)) % 0.45/0.69 (define @t100 () (not (forall @t99 (or @t98 (_ @t94 @t97 @t96))))) % 0.45/0.69 (define @t101 () (@var "BOUND_VARIABLE_8248" $$unsorted)) % 0.45/0.69 (define @t102 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.45/0.69 (define @t103 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 0.45/0.69 (define @t104 () (@list @t102 @t103 @t101)) % 0.45/0.69 (define @t105 () (not (forall @t104 (or (not (_ @t94 @t102 @t103)) (not (_ @t94 @t103 @t101)) (_ @t94 @t102 @t101))))) % 0.45/0.69 (define @t106 () (@var "BOUND_VARIABLE_8842" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t107 () (_ @t106 @t92 @t93)) % 0.45/0.69 (define @t108 () (not (forall @t99 (or @t98 (_ @t106 @t97 @t96))))) % 0.45/0.69 (define @t109 () (@var "BOUND_VARIABLE_8267" $$unsorted)) % 0.45/0.69 (define @t110 () (@list @t102 @t103 @t109)) % 0.45/0.69 (define @t111 () (not (forall @t110 (or (not (_ @t106 @t102 @t103)) (not (_ @t106 @t103 @t109)) (_ @t106 @t102 @t109))))) % 0.45/0.69 (define @t112 () (@var "BOUND_VARIABLE_8360" $$unsorted)) % 0.45/0.69 (define @t113 () (_ @t8 @t97 @t96)) % 0.45/0.69 (define @t114 () (not (forall @t99 (or @t98 @t113)))) % 0.45/0.69 (define @t115 () (not (_ @t8 @t102 @t103))) % 0.45/0.69 (define @t116 () (not (forall @t104 (or @t115 (not (_ @t8 @t103 @t101)) (_ @t8 @t102 @t101))))) % 0.45/0.69 (define @t117 () (not (forall @t110 (or @t115 (not (_ @t8 @t103 @t109)) (_ @t8 @t102 @t109))))) % 0.45/0.69 (define @t118 () (@list @t112)) % 0.45/0.69 (define @t119 () (not (forall @t118 (or (not (forall @t47 (or @t117 @t114 (_ @t8 @t92 @t112)))) (not (forall @t47 (or @t116 @t114 (_ @t8 @t93 @t112)))))))) % 0.45/0.69 (define @t120 () (= @t93 @t92)) % 0.45/0.69 (define @t121 () (@list @t102 @t103 @t38)) % 0.45/0.69 (define @t122 () (forall @t121 (or @t115 (not (_ @t8 @t103 @t38)) (_ @t8 @t102 @t38)))) % 0.45/0.69 (define @t123 () (not @t122)) % 0.45/0.69 (define @t124 () (and (not @t120) (not (forall @t47 (or @t123 @t114 (_ @t8 @t92 @t93)))) (not (forall @t47 (or @t123 @t114 (_ @t8 @t93 @t92)))))) % 0.45/0.69 (define @t125 () (@var "BOUND_VARIABLE_8541" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t126 () (_ @t125 @t38 @t6)) % 0.45/0.69 (define @t127 () (_ @t125 @t97 @t96)) % 0.45/0.69 (define @t128 () (not (forall @t99 (or @t98 @t127)))) % 0.45/0.69 (define @t129 () (not (forall @t104 (or (not (_ @t125 @t102 @t103)) (not (_ @t125 @t103 @t101)) (_ @t125 @t102 @t101))))) % 0.45/0.69 (define @t130 () (@var "BOUND_VARIABLE_8525" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t131 () (_ @t130 @t6 @t38)) % 0.45/0.69 (define @t132 () (_ @t130 @t97 @t96)) % 0.45/0.69 (define @t133 () (not (forall @t99 (or @t98 @t132)))) % 0.45/0.69 (define @t134 () (not (forall @t110 (or (not (_ @t130 @t102 @t103)) (not (_ @t130 @t103 @t109)) (_ @t130 @t102 @t109))))) % 0.45/0.69 (define @t135 () (_ @t8 @t38 @t112)) % 0.45/0.69 (define @t136 () (_ @t8 @t6 @t112)) % 0.45/0.69 (define @t137 () (not (forall @t47 (or @t117 @t114 @t136)))) % 0.45/0.69 (define @t138 () (forall @t118 (or @t137 (not (forall @t47 (or @t116 @t114 @t135)))))) % 0.45/0.69 (define @t139 () (not @t138)) % 0.45/0.69 (define @t140 () (= @t6 @t38)) % 0.45/0.69 (define @t141 () (_ @t8 @t7 @t6)) % 0.45/0.69 (define @t142 () (@var "BOUND_VARIABLE_8501" $$unsorted)) % 0.45/0.69 (define @t143 () (not (forall (@list @t102 @t103 @t142) (or @t115 (not (_ @t8 @t103 @t142)) (_ @t8 @t102 @t142))))) % 0.45/0.69 (define @t144 () (forall @t47 (or @t143 @t114 @t141))) % 0.45/0.69 (define @t145 () (not @t32)) % 0.45/0.69 (define @t146 () (and @t145 (not @t144))) % 0.45/0.69 (define @t147 () (_ @t1 @t7 @t38)) % 0.45/0.69 (define @t148 () (not @t147)) % 0.45/0.69 (define @t149 () (or @t148 @t146 @t140 @t139 @t134 @t133 @t131 @t129 @t128 @t126)) % 0.45/0.69 (define @t150 () (@list @t7 @t6 @t38 @t130 @t125)) % 0.45/0.69 (define @t151 () (forall @t150 @t149)) % 0.45/0.69 (define @t152 () (not @t151)) % 0.45/0.69 (define @t153 () (or @t152 @t124 @t120 @t119 @t111 @t108 @t107 @t105 @t100 @t95)) % 0.45/0.69 (define @t154 () (or @t124 @t120 @t119 @t111 @t108 @t107 @t105 @t100 @t95)) % 0.45/0.69 (define @t155 () (or @t152 @t154)) % 0.45/0.69 (define @t156 () (@list @t1 @t93 @t92 @t106 @t94)) % 0.45/0.69 (define @t157 () (forall @t156 @t155)) % 0.45/0.69 (define @t158 () (@list @t93 @t92 @t106 @t94)) % 0.45/0.69 (define @t159 () (forall @t158 @t155)) % 0.45/0.69 (define @t160 () (forall @t158 @t154)) % 0.45/0.69 (define @t161 () (@var "BOUND_VARIABLE_8704" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t162 () (@var "BOUND_VARIABLE_8688" (-> $$unsorted $$unsorted Bool))) % 0.45/0.69 (define @t163 () (or @t152 @t160)) % 0.45/0.69 (define @t164 () (_ @t161 @t7 @t6)) % 0.45/0.69 (define @t165 () (not (forall @t99 (or @t98 (_ @t161 @t97 @t96))))) % 0.45/0.69 (define @t166 () (not (forall @t104 (or (not (_ @t161 @t102 @t103)) (not (_ @t161 @t103 @t101)) (_ @t161 @t102 @t101))))) % 0.45/0.69 (define @t167 () (_ @t162 @t6 @t7)) % 0.45/0.69 (define @t168 () (not (forall @t99 (or @t98 (_ @t162 @t97 @t96))))) % 0.45/0.69 (define @t169 () (not (forall @t110 (or (not (_ @t162 @t102 @t103)) (not (_ @t162 @t103 @t109)) (_ @t162 @t102 @t109))))) % 0.45/0.69 (define @t170 () (forall @t118 (or @t137 (not (forall @t47 (or @t116 @t114 (_ @t8 @t7 @t112))))))) % 0.45/0.69 (define @t171 () (not @t170)) % 0.45/0.69 (define @t172 () (or @t123 @t114 @t141)) % 0.45/0.69 (define @t173 () (forall @t47 @t172)) % 0.45/0.69 (define @t174 () (not @t173)) % 0.45/0.69 (define @t175 () (_ @t8 @t6 @t7)) % 0.45/0.69 (define @t176 () (forall @t47 (or @t123 @t114 @t175))) % 0.45/0.69 (define @t177 () (not @t176)) % 0.45/0.69 (define @t178 () (and @t145 @t177 @t174)) % 0.45/0.69 (define @t179 () (or @t178 @t32 @t171 @t169 @t168 @t167 @t166 @t165 @t164)) % 0.45/0.69 (define @t180 () (@list @t7 @t6 @t162 @t161)) % 0.45/0.69 (define @t181 () (forall @t180 @t179)) % 0.45/0.69 (define @t182 () (_ (lambda @t3 @t181) @t1)) % 0.45/0.69 (define @t183 () (_ (lambda @t3 @t151) @t1)) % 0.45/0.69 (define @t184 () (=> @t183 @t182)) % 0.45/0.69 (define @t185 () (forall @t3 @t184)) % 0.45/0.69 (define @t186 () (or @t166 @t165 @t164)) % 0.45/0.69 (define @t187 () (or @t169 @t168 @t167)) % 0.45/0.69 (define @t188 () (or @t178 @t32 @t187 @t186 @t171)) % 0.45/0.69 (define @t189 () (forall @t180 @t188)) % 0.45/0.69 (define @t190 () (forall (@list @t162 @t161) @t188)) % 0.45/0.69 (define @t191 () (forall (@list @t161) @t186)) % 0.45/0.69 (define @t192 () (@list @t8)) % 0.45/0.69 (define @t193 () (forall (@list @t162) @t187)) % 0.45/0.69 (define @t194 () (or @t178 @t32 @t193 @t191 @t171)) % 0.45/0.69 (define @t195 () (forall @t47 (or @t116 @t114 @t141))) % 0.45/0.69 (define @t196 () (forall @t47 (or @t117 @t114 @t175))) % 0.45/0.69 (define @t197 () (or @t178 @t32 @t196 @t195 @t171)) % 0.45/0.69 (define @t198 () (not @t195)) % 0.45/0.69 (define @t199 () (not @t198)) % 0.45/0.69 (define @t200 () (not @t196)) % 0.45/0.69 (define @t201 () (not @t200)) % 0.45/0.69 (define @t202 () (not @t145)) % 0.45/0.69 (define @t203 () (or @t202 @t201 @t199 @t171)) % 0.45/0.69 (define @t204 () (and @t198 @t170)) % 0.45/0.69 (define @t205 () (and @t145 @t200 @t198 @t170)) % 0.45/0.69 (define @t206 () (not @t205)) % 0.45/0.69 (define @t207 () (or @t32 @t176 @t173)) % 0.45/0.69 (define @t208 () (lambda @t63 @t206)) % 0.45/0.69 (define @t209 () (lambda @t12 @t206)) % 0.45/0.69 (define @t210 () (_ (lambda @t18 @t206) @t1)) % 0.45/0.69 (define @t211 () (_ @t8 @t7 @t50)) % 0.45/0.69 (define @t212 () (or @t123 @t114 @t211)) % 0.45/0.69 (define @t213 () (forall @t47 @t212)) % 0.45/0.69 (define @t214 () (= @t7 @t50)) % 0.45/0.69 (define @t215 () (@list @t50)) % 0.45/0.69 (define @t216 () (lambda @t215 (or @t214 (forall @t47 (or @t123 @t114 (_ @t8 @t50 @t7))) @t213))) % 0.45/0.69 (define @t217 () (forall @t47 (or @t123 @t114 (_ @t8 @t51 @t50)))) % 0.45/0.69 (define @t218 () (forall @t47 (or @t123 @t114 (_ @t8 @t50 @t51)))) % 0.45/0.69 (define @t219 () (= @t51 @t50)) % 0.45/0.69 (define @t220 () (or @t219 @t218 @t217)) % 0.45/0.69 (define @t221 () (@list @t51 @t50)) % 0.45/0.69 (define @t222 () (lambda @t221 @t220)) % 0.45/0.69 (define @t223 () (_ (lambda @t54 @t220) @t1)) % 0.45/0.69 (define @t224 () (=> (_ (_ @t223 @t7) @t6) (_ (_ @t210 @t7) @t6))) % 0.45/0.69 (define @t225 () (and @t145 @t200)) % 0.45/0.69 (define @t226 () (not (= @t6 @t6))) % 0.45/0.69 (define @t227 () (or @t226 @t198)) % 0.45/0.69 (define @t228 () (@var "BOUND_VARIABLE_8349" $$unsorted)) % 0.45/0.69 (define @t229 () (not (forall @t47 (or @t116 @t114 (_ @t8 @t7 @t228))))) % 0.45/0.69 (define @t230 () (not (= @t6 @t228))) % 0.45/0.69 (define @t231 () (@list @t228)) % 0.45/0.69 (define @t232 () (or @t230 @t230 @t229)) % 0.45/0.69 (define @t233 () (or @t230 @t229)) % 0.45/0.69 (define @t234 () (forall @t231 @t233)) % 0.45/0.69 (define @t235 () (@var "BOUND_VARIABLE_8318" $$unsorted)) % 0.45/0.69 (define @t236 () (not (forall @t47 (or @t116 @t114 (_ @t8 @t7 @t235))))) % 0.45/0.69 (define @t237 () (not (forall @t47 (or @t117 @t114 (_ @t8 @t6 @t235))))) % 0.45/0.69 (define @t238 () (or @t237 @t236)) % 0.45/0.69 (define @t239 () (@list @t235)) % 0.45/0.69 (define @t240 () (forall @t239 @t238)) % 0.45/0.69 (define @t241 () (@list @t235)) % 0.45/0.69 (define @t242 () (not (= @t6 @t235))) % 0.45/0.69 (define @t243 () (or @t242 @t236)) % 0.45/0.69 (define @t244 () (forall @t239 @t243)) % 0.45/0.69 (define @t245 () (and @t244 @t240)) % 0.45/0.69 (define @t246 () (and @t242 @t237)) % 0.45/0.69 (define @t247 () (or @t246 @t236)) % 0.45/0.69 (define @t248 () (or @t236 @t246)) % 0.45/0.69 (define @t249 () (forall @t239 @t248)) % 0.45/0.69 (define @t250 () (= @t6 @t7)) % 0.45/0.69 (define @t251 () (not @t250)) % 0.45/0.69 (define @t252 () (and @t251 @t200)) % 0.45/0.69 (define @t253 () (not (= @t7 @t7))) % 0.45/0.69 (define @t254 () (or @t253 @t252)) % 0.45/0.69 (define @t255 () (@var "BOUND_VARIABLE_8304" $$unsorted)) % 0.45/0.69 (define @t256 () (and (not (= @t6 @t255)) (not (forall @t47 (or @t117 @t114 (_ @t8 @t6 @t255)))))) % 0.45/0.69 (define @t257 () (not (= @t7 @t255))) % 0.45/0.69 (define @t258 () (@list @t255)) % 0.45/0.69 (define @t259 () (or @t257 @t257 @t256)) % 0.45/0.69 (define @t260 () (or @t257 @t256)) % 0.45/0.69 (define @t261 () (forall @t258 @t260)) % 0.45/0.69 (define @t262 () (_ @t8 @t6 @t38)) % 0.45/0.69 (define @t263 () (forall @t47 (or @t117 @t114 @t262))) % 0.45/0.69 (define @t264 () (not @t263)) % 0.45/0.69 (define @t265 () (not @t140)) % 0.45/0.69 (define @t266 () (and @t265 @t264)) % 0.45/0.69 (define @t267 () (_ @t8 @t7 @t38)) % 0.45/0.69 (define @t268 () (forall @t47 (or @t116 @t114 @t267))) % 0.45/0.69 (define @t269 () (not @t268)) % 0.45/0.69 (define @t270 () (or @t269 @t266)) % 0.45/0.69 (define @t271 () (forall @t77 @t270)) % 0.45/0.69 (define @t272 () (@list @t38)) % 0.45/0.69 (define @t273 () (= @t7 @t38)) % 0.45/0.69 (define @t274 () (not @t273)) % 0.45/0.69 (define @t275 () (or @t274 @t266)) % 0.45/0.69 (define @t276 () (forall @t77 @t275)) % 0.45/0.69 (define @t277 () (and @t276 @t271)) % 0.45/0.69 (define @t278 () (or @t140 @t263)) % 0.45/0.69 (define @t279 () (or @t273 @t268)) % 0.45/0.69 (define @t280 () (and @t279 @t278)) % 0.45/0.69 (define @t281 () (forall @t77 (not @t280))) % 0.45/0.69 (define @t282 () (not @t281)) % 0.45/0.69 (define @t283 () (_ @t8 @t6 @t50)) % 0.45/0.69 (define @t284 () (= @t6 @t50)) % 0.45/0.69 (define @t285 () (or @t123 @t114 @t283)) % 0.45/0.69 (define @t286 () (forall @t47 @t285)) % 0.45/0.69 (define @t287 () (or @t284 @t286)) % 0.45/0.69 (define @t288 () (lambda @t215 @t287)) % 0.45/0.69 (define @t289 () (or @t219 @t217)) % 0.45/0.69 (define @t290 () (lambda @t221 @t289)) % 0.45/0.69 (define @t291 () (_ (lambda @t54 @t289) @t1)) % 0.45/0.69 (define @t292 () (or @t214 @t213)) % 0.45/0.69 (define @t293 () (lambda @t215 @t292)) % 0.45/0.69 (define @t294 () (_ @t291 @t7)) % 0.45/0.69 (define @t295 () (and (_ @t294 @t38) (_ (_ @t291 @t6) @t38))) % 0.45/0.69 (define @t296 () (= @t50 @t51)) % 0.45/0.69 (define @t297 () (or @t296 @t217)) % 0.45/0.69 (define @t298 () (forall @t47 (or @t123 @t114 (_ @t8 @t51 @t6)))) % 0.45/0.69 (define @t299 () (= @t6 @t51)) % 0.45/0.69 (define @t300 () (= @t51 @t6)) % 0.45/0.69 (define @t301 () (or @t300 @t298)) % 0.45/0.69 (define @t302 () (lambda @t63 @t301)) % 0.45/0.69 (define @t303 () (or @t32 @t173)) % 0.45/0.69 (define @t304 () (lambda @t12 @t303)) % 0.45/0.69 (define @t305 () (lambda @t63 @t173)) % 0.45/0.69 (define @t306 () (lambda @t12 @t173)) % 0.45/0.69 (define @t307 () (_ @t306 @t7)) % 0.45/0.69 (define @t308 () (or @t32 (_ @t307 @t6))) % 0.45/0.69 (define @t309 () (lambda @t12 @t308)) % 0.45/0.69 (define @t310 () (lambda @t18 @t173)) % 0.45/0.69 (define @t311 () (_ @t1 @t7 @t6)) % 0.45/0.69 (define @t312 () (not @t311)) % 0.45/0.69 (define @t313 () (forall @t12 (or @t312 @t141))) % 0.45/0.69 (define @t314 () (not @t313)) % 0.45/0.69 (define @t315 () (forall @t42 (or (not @t141) (not @t262) @t267))) % 0.45/0.69 (define @t316 () (not @t315)) % 0.45/0.69 (define @t317 () (or @t316 @t314 @t9)) % 0.45/0.69 (define @t318 () (and @t315 @t313)) % 0.45/0.69 (define @t319 () (lambda @t47 @t313)) % 0.45/0.69 (define @t320 () (_ (lambda @t14 @t313) @t1)) % 0.45/0.69 (define @t321 () (_ @t1 @t6 @t38)) % 0.45/0.69 (define @t322 () (_ (lambda @t3 (forall @t42 (or @t312 (not @t321) @t147))) @t8)) % 0.45/0.69 (define @t323 () (and @t322 (_ @t320 @t8))) % 0.45/0.69 (define @t324 () (=> @t323 @t9)) % 0.45/0.69 (define @t325 () (or @t61 @t9)) % 0.45/0.69 (define @t326 () (not @t40)) % 0.45/0.69 (define @t327 () (or @t61 @t326 @t39)) % 0.45/0.69 (define @t328 () (or @t296 @t218 @t217)) % 0.45/0.69 (define @t329 () (forall @t47 (or @t123 @t114 (_ @t8 @t6 @t51)))) % 0.45/0.69 (define @t330 () (or @t300 @t329 @t298)) % 0.45/0.70 (define @t331 () (lambda @t63 @t330)) % 0.45/0.70 (define @t332 () (lambda @t63 @t303)) % 0.45/0.70 (define @t333 () (_ @t304 @t7)) % 0.45/0.70 (define @t334 () (or @t250 @t176)) % 0.45/0.70 (define @t335 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.45/0.70 (define @t336 () (lambda (@list @t335) (or (= @t6 @t335) (forall @t47 (or @t123 @t114 (_ @t8 @t6 @t335)))))) % 0.45/0.70 (define @t337 () (or (_ (_ @t304 @t6) @t7) (_ @t333 @t6))) % 0.45/0.70 (define @t338 () (lambda @t12 @t337)) % 0.45/0.70 (define @t339 () (or @t129 @t128 @t126)) % 0.45/0.70 (define @t340 () (or @t134 @t133 @t131)) % 0.45/0.70 (define @t341 () (or @t148 @t146 @t140 @t340 @t339 @t139)) % 0.45/0.70 (define @t342 () (forall @t150 @t341)) % 0.45/0.70 (define @t343 () (forall (@list @t130 @t125) @t341)) % 0.45/0.70 (define @t344 () (forall (@list @t125) @t339)) % 0.45/0.70 (define @t345 () (forall (@list @t130) @t340)) % 0.45/0.70 (define @t346 () (or @t148 @t146 @t140 @t345 @t344 @t139)) % 0.45/0.70 (define @t347 () (forall @t47 (or @t116 @t114 (_ @t8 @t38 @t6)))) % 0.45/0.70 (define @t348 () (not @t39)) % 0.45/0.70 (define @t349 () (or @t348 @t146 @t140 @t263 @t347 @t139)) % 0.45/0.70 (define @t350 () (not @t347)) % 0.45/0.70 (define @t351 () (not @t350)) % 0.45/0.70 (define @t352 () (not @t264)) % 0.45/0.70 (define @t353 () (not @t265)) % 0.45/0.70 (define @t354 () (or @t353 @t352 @t351 @t139)) % 0.45/0.70 (define @t355 () (or @t32 @t144)) % 0.45/0.70 (define @t356 () (not (and @t265 @t264 @t350 @t138))) % 0.45/0.70 (define @t357 () (and @t39 @t355)) % 0.45/0.70 (define @t358 () (and @t39 @t303)) % 0.45/0.70 (define @t359 () (=> @t358 @t356)) % 0.45/0.70 (define @t360 () (not (= @t38 @t6))) % 0.45/0.70 (define @t361 () (and @t360 @t264 @t350 @t138)) % 0.45/0.70 (define @t362 () (not @t361)) % 0.45/0.70 (define @t363 () (lambda @t63 @t362)) % 0.45/0.70 (define @t364 () (and @t39 (_ @t294 @t6))) % 0.45/0.70 (define @t365 () (=> @t364 (_ (_ @t210 @t38) @t6))) % 0.45/0.70 (define @t366 () (forall @t156 @t153)) % 0.45/0.70 (define @t367 () (@quantifiers_skolemize @t366 4)) % 0.45/0.70 (define @t368 () (@quantifiers_skolemize @t366 0)) % 0.45/0.70 (define @t369 () (not (_ @t368 @t97 @t96))) % 0.45/0.70 (define @t370 () (forall @t99 (or @t369 (_ @t367 @t97 @t96)))) % 0.45/0.70 (define @t371 () (@quantifiers_skolemize @t366 2)) % 0.45/0.70 (define @t372 () (@quantifiers_skolemize @t366 1)) % 0.45/0.70 (define @t373 () (_ @t367 @t372 @t371)) % 0.45/0.70 (define @t374 () (not @t370)) % 0.45/0.70 (define @t375 () (not (_ @t367 @t102 @t103))) % 0.45/0.70 (define @t376 () (forall @t104 (or @t375 (not (_ @t367 @t103 @t101)) (_ @t367 @t102 @t101)))) % 0.45/0.70 (define @t377 () (not @t376)) % 0.45/0.70 (define @t378 () (@quantifiers_skolemize @t366 3)) % 0.45/0.70 (define @t379 () (_ @t378 @t371 @t372)) % 0.45/0.70 (define @t380 () (forall @t99 (or @t369 (_ @t378 @t97 @t96)))) % 0.45/0.70 (define @t381 () (not @t380)) % 0.45/0.70 (define @t382 () (not (_ @t378 @t102 @t103))) % 0.45/0.70 (define @t383 () (forall @t110 (or @t382 (not (_ @t378 @t103 @t109)) (_ @t378 @t102 @t109)))) % 0.45/0.70 (define @t384 () (not @t383)) % 0.45/0.70 (define @t385 () (not (forall @t99 (or @t369 @t113)))) % 0.45/0.70 (define @t386 () (= @t372 @t371)) % 0.45/0.70 (define @t387 () (forall @t47 (or @t123 @t385 (_ @t8 @t372 @t371)))) % 0.45/0.70 (define @t388 () (not @t387)) % 0.45/0.70 (define @t389 () (forall @t47 (or @t123 @t385 (_ @t8 @t371 @t372)))) % 0.45/0.70 (define @t390 () (not @t389)) % 0.45/0.70 (define @t391 () (not @t386)) % 0.45/0.70 (define @t392 () (and @t391 @t390 @t388)) % 0.45/0.70 (define @t393 () (or (not (forall @t150 (or (not (_ @t368 @t7 @t38)) (and @t145 (not (forall @t47 (or @t143 @t385 @t141)))) @t140 (not (forall @t118 (or (not (forall @t47 (or @t117 @t385 @t136))) (not (forall @t47 (or @t116 @t385 @t135)))))) @t134 (not (forall @t99 (or @t369 @t132))) @t131 @t129 (not (forall @t99 (or @t369 @t127))) @t126))) @t392 @t386 (not (forall @t118 (or (not (forall @t47 (or @t117 @t385 (_ @t8 @t371 @t112)))) (not (forall @t47 (or @t116 @t385 (_ @t8 @t372 @t112))))))) @t384 @t381 @t379 @t377 @t374 @t373)) % 0.45/0.70 (define @t394 () (@list true)) % 0.45/0.70 (define @t395 () (@list @t393)) % 0.45/0.70 (define @t396 () (@var "BOUND_VARIABLE_10174" $$unsorted)) % 0.45/0.70 (define @t397 () (@var "BOUND_VARIABLE_10172" $$unsorted)) % 0.45/0.70 (define @t398 () (@var "BOUND_VARIABLE_10173" $$unsorted)) % 0.45/0.70 (define @t399 () (@list @t397 @t398 @t396)) % 0.45/0.70 (define @t400 () (@list @t102 @t103 @t38)) % 0.45/0.70 (define @t401 () (forall @t121 (or @t375 (not (_ @t367 @t103 @t38)) (_ @t367 @t102 @t38)))) % 0.45/0.70 (define @t402 () (@list false)) % 0.45/0.70 (define @t403 () (@var "BOUND_VARIABLE_9869" $$unsorted)) % 0.45/0.70 (define @t404 () (@var "BOUND_VARIABLE_9867" $$unsorted)) % 0.45/0.70 (define @t405 () (@var "BOUND_VARIABLE_9868" $$unsorted)) % 0.45/0.70 (define @t406 () (@list @t404 @t405 @t403)) % 0.45/0.70 (define @t407 () (forall @t121 (or @t382 (not (_ @t378 @t103 @t38)) (_ @t378 @t102 @t38)))) % 0.45/0.70 (define @t408 () (not @t407)) % 0.45/0.70 (define @t409 () (or @t408 @t381 @t379)) % 0.45/0.70 (define @t410 () (not @t409)) % 0.45/0.70 (define @t411 () (not @t401)) % 0.45/0.70 (define @t412 () (or @t411 @t374 @t373)) % 0.45/0.70 (assume @p1 @t5) % 0.45/0.70 (assume @p2 true) % 0.45/0.70 (step @p3 (= tptp.subrel @t15) :rule refl :args (@t15)) % 0.45/0.70 (step @p4 (= tptp.inv @t19) :rule refl :args (@t19)) % 0.45/0.70 (step @p5 (= tptp.idem @t23) :rule refl :args (@t23)) % 0.45/0.70 (step @p6 (= tptp.infl @t25) :rule refl :args (@t25)) % 0.45/0.70 (step @p7 (= tptp.mono @t27) :rule refl :args (@t27)) % 0.45/0.70 (step @p8 (= tptp.refl @t30) :rule refl :args (@t30)) % 0.45/0.70 (step @p9 (= tptp.irrefl @t31) :rule refl :args (@t31)) % 0.45/0.70 (step @p10 (= tptp.rc @t33) :rule refl :args (@t33)) % 0.45/0.70 (step @p11 (= tptp.symm @t34) :rule refl :args (@t34)) % 0.45/0.70 (step @p12 (= tptp.antisymm @t35) :rule refl :args (@t35)) % 0.45/0.70 (step @p13 (= tptp.asymm @t36) :rule refl :args (@t36)) % 0.45/0.70 (step @p14 (= tptp.sc @t37) :rule refl :args (@t37)) % 0.45/0.70 (step @p15 (= tptp.trans @t44) :rule refl :args (@t44)) % 0.45/0.70 (step @p16 (= tptp.tc @t49) :rule refl :args (@t49)) % 0.45/0.70 (step @p17 (= tptp.trc @t55) :rule refl :args (@t55)) % 0.45/0.70 (step @p18 (= tptp.trsc @t56) :rule refl :args (@t56)) % 0.45/0.70 (step @p19 (= tptp.po @t58) :rule refl :args (@t58)) % 0.45/0.70 (step @p20 (= tptp.so @t59) :rule refl :args (@t59)) % 0.45/0.70 (step @p21 (= tptp.total @t60) :rule refl :args (@t60)) % 0.45/0.70 (step @p22 (= tptp.term @t65) :rule refl :args (@t65)) % 0.45/0.70 (step @p23 (= tptp.ind @t68) :rule refl :args (@t68)) % 0.45/0.70 (step @p24 (= tptp.innf @t69) :rule refl :args (@t69)) % 0.45/0.70 (step @p25 (= tptp.nfof @t72) :rule refl :args (@t72)) % 0.45/0.70 (step @p26 (= tptp.norm @t73) :rule refl :args (@t73)) % 0.45/0.70 (step @p27 (= tptp.join @t79) :rule refl :args (@t79)) % 0.45/0.70 (step @p28 (= tptp.lconfl @t82) :rule refl :args (@t82)) % 0.45/0.70 (step @p29 (= tptp.sconfl @t87) :rule refl :args (@t87)) % 0.45/0.70 (step @p30 (= tptp.confl @t88) :rule refl :args (@t88)) % 0.45/0.70 (step @p31 (= tptp.cr @t91) :rule refl :args (@t91)) % 0.45/0.70 (step @p32 :rule aci_norm :args ((= @t155 @t153))) % 0.45/0.70 (step @p33 :rule cong :premises (@p32) :args (@t157)) % 0.45/0.70 (step @p34 :rule quant-merge-prenex :args ((= (forall @t3 @t159) @t157))) % 0.45/0.70 (step @p35 :rule alpha_equiv :args (@t160 (@list @t93 @t92 @t106 @t94) (@list @t7 @t6 @t162 @t161))) % 0.45/0.70 (step @p36 :rule refl :args (@t152)) % 0.45/0.70 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t163)) % 0.45/0.70 (step @p38 :rule quant-miniscope-or :args ((= @t159 @t163))) % 0.45/0.70 (step @p39 :rule trans :premises (@p38 @p37)) % 0.45/0.70 (step @p40 :rule symm :premises (@p39)) % 0.45/0.70 (step @p41 :rule cong :premises (@p40) :args ((forall @t3 (or @t152 @t181)))) % 0.45/0.70 (step @p42 :rule trans :premises (@p41 @p34)) % 0.45/0.70 (step @p43 :rule trans :premises (@p42 @p33)) % 0.45/0.70 (step @p44 :rule bool-impl-elim :args (@t151 @t181)) % 0.45/0.70 (step @p45 :rule cong :premises (@p44) :args ((forall @t3 (=> @t151 @t181)))) % 0.45/0.70 (step @p46 :rule trans :premises (@p45 @p43)) % 0.45/0.70 (step @p47 :rule beta-reduce :args ((= @t182 @t181))) % 0.45/0.70 (step @p48 :rule beta-reduce :args ((= @t183 @t151))) % 0.45/0.70 (step @p49 :rule cong :premises (@p48 @p47) :args (@t184)) % 0.45/0.70 (step @p50 :rule cong :premises (@p49) :args (@t185)) % 0.45/0.70 (step @p51 :rule trans :premises (@p50 @p46)) % 0.45/0.70 (step @p52 :rule cong :premises (@p51) :args ((not @t185))) % 0.45/0.70 (step @p53 :rule refl :args (@t1)) % 0.45/0.70 (step @p54 :rule aci_norm :args ((= @t188 @t179))) % 0.45/0.70 (step @p55 :rule cong :premises (@p54) :args (@t189)) % 0.45/0.70 (step @p56 :rule quant-merge-prenex :args ((= (forall @t12 @t190) @t189))) % 0.45/0.70 (step @p57 :rule refl :args (@t171)) % 0.45/0.70 (step @p58 :rule alpha_equiv :args (@t191 (@list @t161) @t192)) % 0.45/0.70 (step @p59 :rule alpha_equiv :args (@t193 (@list @t162) @t192)) % 0.45/0.70 (step @p60 :rule refl :args (@t32)) % 0.45/0.70 (step @p61 :rule refl :args (@t178)) % 0.45/0.70 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59 @p58 @p57) :args (@t194)) % 0.45/0.70 (step @p63 :rule quant-miniscope-or :args ((= @t190 @t194))) % 0.45/0.70 (step @p64 :rule trans :premises (@p63 @p62)) % 0.45/0.70 (step @p65 :rule symm :premises (@p64)) % 0.45/0.70 (step @p66 :rule cong :premises (@p65) :args ((forall @t12 @t197))) % 0.45/0.70 (step @p67 :rule trans :premises (@p66 @p56)) % 0.45/0.70 (step @p68 :rule trans :premises (@p67 @p55)) % 0.45/0.70 (step @p69 :rule aci_norm :args ((= (or @t178 (or @t32 @t196 @t195 @t171)) @t197))) % 0.45/0.70 (step @p70 :rule bool-double-not-elim :args (@t195)) % 0.45/0.70 (step @p71 :rule bool-double-not-elim :args (@t196)) % 0.45/0.70 (step @p72 :rule bool-double-not-elim :args (@t32)) % 0.45/0.70 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p57) :args (@t203)) % 0.45/0.70 (step @p74 :rule aci_norm :args ((= (or @t202 (or @t201 (or @t199 @t171))) @t203))) % 0.45/0.70 (step @p75 :rule trans :premises (@p74 @p73)) % 0.45/0.70 (step @p76 :rule bool-and-de-morgan :args (@t198 @t170 true)) % 0.45/0.70 (step @p77 :rule refl :args (@t201)) % 0.45/0.70 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t201 (not @t204)))) % 0.45/0.70 (step @p79 :rule bool-and-de-morgan :args (@t200 @t198 (and @t170))) % 0.45/0.70 (step @p80 :rule trans :premises (@p79 @p78)) % 0.45/0.70 (step @p81 :rule refl :args (@t202)) % 0.45/0.70 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t202 (not (and @t200 @t198 @t170))))) % 0.45/0.70 (step @p83 :rule bool-and-de-morgan :args (@t145 @t200 (and @t198 @t170))) % 0.45/0.70 (step @p84 :rule trans :premises (@p83 @p82)) % 0.45/0.70 (step @p85 :rule trans :premises (@p84 @p75)) % 0.45/0.70 (step @p86 :rule aci_norm :args ((= (and @t145 (and @t177 @t174)) @t178))) % 0.45/0.70 (step @p87 :rule bool-or-de-morgan :args (@t176 @t173 false)) % 0.45/0.70 (step @p88 :rule refl :args (@t145)) % 0.45/0.70 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((and @t145 (not (or @t176 @t173))))) % 0.45/0.70 (step @p90 :rule bool-or-de-morgan :args (@t32 @t176 (or @t173))) % 0.45/0.70 (step @p91 :rule trans :premises (@p90 @p89)) % 0.45/0.70 (step @p92 :rule trans :premises (@p91 @p86)) % 0.45/0.70 (step @p93 :rule nary_cong :premises (@p92 @p85) :args ((or (not @t207) @t206))) % 0.45/0.70 (step @p94 :rule trans :premises (@p93 @p69)) % 0.45/0.70 (step @p95 :rule bool-impl-elim :args (@t207 @t206)) % 0.45/0.70 (step @p96 :rule trans :premises (@p95 @p94)) % 0.45/0.70 (step @p97 :rule cong :premises (@p96) :args ((forall @t12 (=> @t207 @t206)))) % 0.45/0.70 (step @p98 :rule trans :premises (@p97 @p68)) % 0.45/0.70 (step @p99 :rule beta-reduce :args ((= (_ @t208 @t6) @t206))) % 0.45/0.70 (step @p100 :rule refl :args (@t6)) % 0.45/0.70 (step @p101 :rule beta-reduce :args ((= (_ @t209 @t7) @t208))) % 0.45/0.70 (step @p102 :rule refl :args (@t7)) % 0.45/0.70 (step @p103 :rule beta-reduce :args ((= @t210 @t209))) % 0.45/0.70 (step @p104 :rule ho_cong :premises (@p103 @p102)) % 0.45/0.70 (step @p105 :rule trans :premises (@p104 @p101)) % 0.45/0.70 (step @p106 :rule ho_cong :premises (@p105 @p100)) % 0.45/0.70 (step @p107 :rule trans :premises (@p106 @p99)) % 0.45/0.70 (step @p108 :rule beta-reduce :args ((= (_ @t216 @t6) @t207))) % 0.45/0.70 (step @p109 :rule beta-reduce :args ((= (_ @t222 @t7) @t216))) % 0.45/0.70 (step @p110 :rule beta-reduce :args ((= @t223 @t222))) % 0.45/0.70 (step @p111 :rule ho_cong :premises (@p110 @p102)) % 0.45/0.70 (step @p112 :rule trans :premises (@p111 @p109)) % 0.45/0.70 (step @p113 :rule ho_cong :premises (@p112 @p100)) % 0.45/0.70 (step @p114 :rule trans :premises (@p113 @p108)) % 0.45/0.70 (step @p115 :rule cong :premises (@p114 @p107) :args (@t224)) % 0.45/0.70 (step @p116 :rule cong :premises (@p115) :args ((forall @t12 @t224))) % 0.45/0.70 (step @p117 :rule trans :premises (@p116 @p98)) % 0.45/0.70 (step @p118 :rule aci_norm :args ((= (and @t225 @t204) @t205))) % 0.45/0.70 (step @p119 :rule refl :args (@t170)) % 0.45/0.70 (step @p120 :rule aci_norm :args ((= (or false @t198) @t198))) % 0.45/0.70 (step @p121 :rule refl :args (@t198)) % 0.45/0.70 (step @p122 :rule evaluate :args ((not true))) % 0.45/0.70 (step @p123 :rule eq-refl :args (@t6)) % 0.45/0.70 (step @p124 :rule cong :premises (@p123) :args (@t226)) % 0.45/0.70 (step @p125 :rule trans :premises (@p124 @p122)) % 0.45/0.70 (step @p126 :rule nary_cong :premises (@p125 @p121) :args (@t227)) % 0.45/0.70 (step @p127 :rule trans :premises (@p126 @p120)) % 0.45/0.70 (step @p128 :rule quant-var-elim-eq :args ((= (forall @t231 (or (not (= @t228 @t6)) @t230 @t229)) @t227))) % 0.45/0.70 (step @p129 :rule refl :args (@t229)) % 0.45/0.70 (step @p130 :rule refl :args (@t230)) % 0.45/0.70 (step @p131 :rule eq-symm :args (@t6 @t228)) % 0.45/0.70 (step @p132 :rule cong :premises (@p131) :args (@t230)) % 0.45/0.70 (step @p133 :rule nary_cong :premises (@p132 @p130 @p129) :args (@t232)) % 0.45/0.70 (step @p134 :rule aci_norm :args ((= @t233 @t232))) % 0.45/0.70 (step @p135 :rule trans :premises (@p134 @p133)) % 0.45/0.70 (step @p136 :rule cong :premises (@p135) :args (@t234)) % 0.45/0.70 (step @p137 :rule trans :premises (@p136 @p128)) % 0.45/0.70 (step @p138 :rule trans :premises (@p137 @p127)) % 0.45/0.70 (step @p139 :rule nary_cong :premises (@p138 @p119) :args ((and @t234 @t170))) % 0.45/0.70 (step @p140 :rule alpha_equiv :args (@t240 @t241 (@list @t112))) % 0.45/0.70 (step @p141 :rule alpha_equiv :args (@t244 @t241 (@list @t228))) % 0.45/0.70 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t245)) % 0.45/0.70 (step @p143 :rule quant-miniscope-and :args ((= (forall @t239 (and @t243 @t238)) @t245))) % 0.45/0.70 (step @p144 :rule trans :premises (@p143 @p142)) % 0.45/0.70 (step @p145 :rule trans :premises (@p144 @p139)) % 0.45/0.70 (step @p146 :rule bool-or-and-distrib :args (@t242 @t237 true @t236 false)) % 0.45/0.70 (step @p147 :rule cong :premises (@p146) :args ((forall @t239 @t247))) % 0.45/0.70 (step @p148 :rule 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% 0.45/0.70 (step @p526 :rule alpha_equiv :args ((forall (@list @t397 @t398 @t396) (or (not (_ @t367 @t397 @t398)) (not (_ @t367 @t398 @t396)) (_ @t367 @t397 @t396))) @t399 @t400)) % 0.45/0.70 (step @p527 :rule alpha_equiv :args (@t376 (@list @t102 @t103 @t101) @t399)) % 0.45/0.70 (step @p528 :rule trans :premises (@p527 @p526)) % 0.45/0.70 (step @p529 :rule equiv_elim1 :premises (@p528)) % 0.45/0.70 (step @p530 :rule chain_m_resolution :premises (@p529 @p525) :args (@t401 @t402 (@list @t376))) % 0.45/0.70 (step @p531 :rule cnf_or_neg :args (@t393 1)) % 0.45/0.70 (step @p532 :rule chain_m_resolution :premises (@p531 @p510) :args ((not @t392) @t394 @t395)) % 0.45/0.70 (step @p533 :rule bool-double-not-elim :args (@t383)) % 0.45/0.70 (step @p534 :rule nary_cong :premises (@p512 @p533) :args ((or @t393 (not @t384)))) % 0.45/0.70 (step @p535 :rule cnf_or_neg :args (@t393 4)) % 0.45/0.70 (step @p536 :rule eq_resolve :premises (@p535 @p534)) % 0.45/0.70 (step @p537 :rule reordering :premises 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0.57/0.70 (step @p561 :rule cnf_or_neg :args (@t393 2)) % 0.57/0.70 (step @p562 :rule reordering :premises (@p561) :args ((or @t391 @t393))) % 0.57/0.70 (step @p563 :rule chain_m_resolution :premises (@p562 @p510) :args (@t391 @t394 @t395)) % 0.57/0.70 (step @p564 :rule bool-double-not-elim :args (@t387)) % 0.57/0.70 (step @p565 :rule bool-double-not-elim :args (@t389)) % 0.57/0.70 (step @p566 :rule bool-double-not-elim :args (@t386)) % 0.57/0.70 (step @p567 :rule refl :args (@t392)) % 0.57/0.70 (step @p568 :rule nary_cong :premises (@p567 @p566 @p565 @p564) :args ((or @t392 (not @t391) (not @t390) (not @t388)))) % 0.57/0.70 (step @p569 :rule cnf_and_neg :args (@t392)) % 0.57/0.70 (step @p570 :rule eq_resolve :premises (@p569 @p568)) % 0.57/0.70 (step @p571 :rule reordering :premises (@p570) :args ((or @t386 @t389 @t387 @t392))) % 0.57/0.70 (step @p572 :rule chain_m_resolution :premises (@p571 @p563 @p560 @p532) :args (@t387 (@list true true true) (@list @t386 @t389 @t392))) % 0.57/0.70 (assume-push @p584 @t387) % 0.57/0.70 (step @p574 :rule instantiate :premises (@p584) :args ((@list @t367))) % 0.57/0.70 (step-pop @p585 :rule scope :premises (@p574)) % 0.57/0.70 (step @p575 :rule process_scope :premises (@p585) :args (@t412)) % 0.57/0.70 (step @p577 :rule implies_elim :premises (@p575)) % 0.57/0.70 (step @p578 :rule chain_m_resolution :premises (@p577 @p572) :args (@t412 @t402 (@list @t387))) % 0.57/0.70 (step @p579 :rule cnf_or_pos :args (@t412)) % 0.57/0.70 (step @p580 :rule reordering :premises (@p579) :args ((or @t374 @t373 @t411 (not @t412)))) % 0.57/0.70 (step @p581 false :rule chain_m_resolution :premises (@p580 @p578 @p530 @p519 @p517) :args (false (@list false false true false) (@list @t412 @t401 @t373 @t370))) % 0.57/0.70 ) % 0.57/0.70 % SZS output end Proof % 0.57/0.70 % cvc5 exiting %------------------------------------------------------------------------------