%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU484^1 : 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 : n015.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 08:51:55 AM UTC 2026 % Result : Theorem 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU484^1 : 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 : n015.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 17:37:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.45/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.45/0.65 % SZS status Theorem % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.45/0.65 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.45/0.65 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.45/0.65 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.45/0.65 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.45/0.65 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.45/0.65 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.45/0.65 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.65 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.45/0.65 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.45/0.65 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.45/0.65 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.45/0.65 (define tptp.trans () (let ((_let_1 (@var "Z" $$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)))))))))) % 0.45/0.65 (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))))))))) % 0.45/0.65 (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)))))) % 0.45/0.65 (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)))))) % 0.45/0.65 (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))))) % 0.45/0.65 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.45/0.65 (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)))))))) % 0.45/0.65 (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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.45/0.65 (define tptp.ind () (let ((_let_1 (@var "X" $$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))))))))))) % 0.45/0.65 (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)))))))) % 0.45/0.65 (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))))))) % 0.45/0.65 (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)))))))) % 0.45/0.65 (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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.45/0.65 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.45/0.65 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.45/0.65 (define tptp.confl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.45/0.65 (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)))))))) % 0.45/0.65 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.45/0.65 (define @t2 () (not (_ tptp.term @t1))) % 0.45/0.65 (define @t3 () (_ tptp.refl @t1)) % 0.45/0.65 (define @t4 () (=> @t3 @t2)) % 0.45/0.65 (define @t5 () (@list @t1)) % 0.45/0.65 (define @t6 () (forall @t5 @t4)) % 0.45/0.65 (define @t7 () (not @t6)) % 0.45/0.65 (define @t8 () (@var "Y" $$unsorted)) % 0.45/0.65 (define @t9 () (@var "X" $$unsorted)) % 0.45/0.65 (define @t10 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.45/0.65 (define @t11 () (_ (_ @t10 @t9) @t8)) % 0.45/0.65 (define @t12 () (_ @t1 @t9)) % 0.45/0.65 (define @t13 () (_ @t12 @t8)) % 0.45/0.65 (define @t14 () (@list @t9 @t8)) % 0.45/0.65 (define @t15 () (@list @t1 @t10)) % 0.45/0.65 (define @t16 () (lambda @t15 (forall @t14 (=> @t13 @t11)))) % 0.45/0.65 (define @t17 () (_ @t1 @t8)) % 0.45/0.65 (define @t18 () (_ @t17 @t9)) % 0.45/0.65 (define @t19 () (@list @t1 @t9 @t8)) % 0.45/0.65 (define @t20 () (lambda @t19 @t18)) % 0.45/0.65 (define @t21 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.45/0.65 (define @t22 () (_ @t21 @t1)) % 0.45/0.65 (define @t23 () (@list @t21)) % 0.45/0.65 (define @t24 () (lambda @t23 (forall @t5 (= (_ @t21 @t22) @t22)))) % 0.45/0.65 (define @t25 () (_ tptp.subrel @t1)) % 0.45/0.65 (define @t26 () (lambda @t23 (forall @t5 (_ @t25 @t22)))) % 0.45/0.65 (define @t27 () (_ @t25 @t10)) % 0.45/0.65 (define @t28 () (lambda @t23 (forall @t15 (=> @t27 (_ (_ tptp.subrel @t22) (_ @t21 @t10)))))) % 0.45/0.65 (define @t29 () (_ @t12 @t9)) % 0.45/0.65 (define @t30 () (@list @t9)) % 0.45/0.65 (define @t31 () (forall @t30 @t29)) % 0.45/0.65 (define @t32 () (lambda @t5 @t31)) % 0.45/0.65 (define @t33 () (lambda @t5 (forall @t30 (not @t29)))) % 0.45/0.65 (define @t34 () (= @t9 @t8)) % 0.45/0.65 (define @t35 () (lambda @t19 (or @t34 @t13))) % 0.45/0.65 (define @t36 () (lambda @t5 (forall @t14 (=> @t13 @t18)))) % 0.45/0.65 (define @t37 () (lambda @t5 (forall @t14 (=> (and @t13 @t18) @t34)))) % 0.45/0.65 (define @t38 () (lambda @t5 (forall @t14 (=> @t13 (not @t18))))) % 0.45/0.65 (define @t39 () (lambda @t19 (or @t18 @t13))) % 0.45/0.65 (define @t40 () (@var "Z" $$unsorted)) % 0.45/0.65 (define @t41 () (_ @t12 @t40)) % 0.45/0.65 (define @t42 () (@list @t9 @t8 @t40)) % 0.45/0.65 (define @t43 () (lambda @t5 (forall @t42 (=> (and @t13 (_ @t17 @t40)) @t41)))) % 0.45/0.65 (define @t44 () (lambda @t19 (forall (@list @t10) (=> (and (_ tptp.trans @t10) @t27) @t11)))) % 0.45/0.65 (define @t45 () (@var "__flatten_var_1" $$unsorted)) % 0.45/0.65 (define @t46 () (@var "__flatten_var_0" $$unsorted)) % 0.45/0.65 (define @t47 () (_ tptp.tc @t1)) % 0.45/0.65 (define @t48 () (_ tptp.rc @t47)) % 0.45/0.65 (define @t49 () (@list @t1 @t46 @t45)) % 0.45/0.65 (define @t50 () (lambda @t49 (_ (_ @t48 @t46) @t45))) % 0.45/0.65 (define @t51 () (lambda @t49 (_ (_ (_ tptp.sc @t48) @t46) @t45))) % 0.45/0.65 (define @t52 () (_ tptp.trans @t1)) % 0.45/0.65 (define @t53 () (lambda @t5 (and @t3 (_ tptp.antisymm @t1) @t52))) % 0.45/0.65 (define @t54 () (lambda @t5 (and (_ tptp.asymm @t1) @t52))) % 0.45/0.65 (define @t55 () (lambda @t5 (forall @t14 (or @t34 @t13 @t18)))) % 0.45/0.65 (define @t56 () (not @t13)) % 0.45/0.65 (define @t57 () (@var "A" (-> $$unsorted Bool))) % 0.45/0.65 (define @t58 () (_ @t57 @t8)) % 0.45/0.65 (define @t59 () (@list @t8)) % 0.45/0.65 (define @t60 () (forall @t59 (=> @t58 @t56))) % 0.45/0.65 (define @t61 () (_ @t57 @t9)) % 0.45/0.65 (define @t62 () (and @t61 @t60)) % 0.45/0.65 (define @t63 () (exists @t30 @t62)) % 0.45/0.65 (define @t64 () (exists @t30 @t61)) % 0.45/0.65 (define @t65 () (=> @t64 @t63)) % 0.45/0.65 (define @t66 () (@list @t57)) % 0.45/0.65 (define @t67 () (forall @t66 @t65)) % 0.45/0.65 (define @t68 () (lambda @t5 @t67)) % 0.45/0.65 (define @t69 () (@var "P" (-> $$unsorted Bool))) % 0.45/0.65 (define @t70 () (_ @t69 @t9)) % 0.45/0.65 (define @t71 () (lambda @t5 (forall (@list @t69) (=> (forall @t30 (=> (forall @t59 (=> (_ (_ @t47 @t9) @t8) (_ @t69 @t8))) @t70)) (forall @t30 @t70))))) % 0.45/0.65 (define @t72 () (lambda (@list @t1 @t9) (not (exists @t59 @t13)))) % 0.45/0.65 (define @t73 () (_ tptp.trc @t1)) % 0.45/0.65 (define @t74 () (_ @t73 @t8)) % 0.45/0.65 (define @t75 () (lambda @t19 (and (_ @t74 @t9) (_ (_ tptp.innf @t1) @t9)))) % 0.45/0.65 (define @t76 () (lambda @t5 (forall @t30 (exists @t59 (_ (_ (_ tptp.nfof @t1) @t8) @t9))))) % 0.45/0.65 (define @t77 () (_ @t73 @t9)) % 0.45/0.65 (define @t78 () (_ @t77 @t40)) % 0.45/0.65 (define @t79 () (lambda @t19 (exists (@list @t40) (and @t78 (_ @t74 @t40))))) % 0.45/0.65 (define @t80 () (_ tptp.join @t1)) % 0.45/0.65 (define @t81 () (_ (_ @t80 @t40) @t8)) % 0.45/0.65 (define @t82 () (lambda @t5 (forall @t42 (=> (and @t41 @t13) @t81)))) % 0.45/0.65 (define @t83 () (_ @t77 @t8)) % 0.45/0.65 (define @t84 () (lambda @t5 (forall @t42 (=> (and @t41 @t83) @t81)))) % 0.45/0.65 (define @t85 () (lambda @t5 (forall @t42 (=> (and @t78 @t83) @t81)))) % 0.45/0.65 (define @t86 () (lambda @t5 (forall @t14 (=> (_ (_ (_ tptp.trsc @t1) @t9) @t8) (_ (_ @t80 @t9) @t8))))) % 0.45/0.65 (define @t87 () (_ @t1 @t9 @t9)) % 0.45/0.65 (define @t88 () (forall @t30 @t87)) % 0.45/0.65 (define @t89 () (_ @t1 @t9 @t8)) % 0.45/0.65 (define @t90 () (_ @t57 @t8)) % 0.45/0.65 (define @t91 () (not @t90)) % 0.45/0.65 (define @t92 () (forall @t59 (or @t91 (not @t89)))) % 0.45/0.65 (define @t93 () (not @t92)) % 0.45/0.65 (define @t94 () (_ @t57 @t9)) % 0.45/0.65 (define @t95 () (not @t94)) % 0.45/0.65 (define @t96 () (not (forall @t30 (or @t95 @t93)))) % 0.45/0.65 (define @t97 () (@var "BOUND_VARIABLE_7975" $$unsorted)) % 0.45/0.65 (define @t98 () (not (_ @t57 @t97))) % 0.45/0.65 (define @t99 () (or @t98 @t96)) % 0.45/0.65 (define @t100 () (@list @t57 @t97)) % 0.45/0.65 (define @t101 () (forall @t100 @t99)) % 0.45/0.65 (define @t102 () (not @t101)) % 0.45/0.65 (define @t103 () (_ (lambda @t5 @t101) @t1)) % 0.45/0.65 (define @t104 () (not @t103)) % 0.45/0.65 (define @t105 () (_ (lambda @t5 @t88) @t1)) % 0.45/0.65 (define @t106 () (=> @t105 @t104)) % 0.45/0.65 (define @t107 () (forall @t5 @t106)) % 0.45/0.65 (define @t108 () (@list @t97)) % 0.45/0.65 (define @t109 () (forall @t108 @t99)) % 0.45/0.65 (define @t110 () (forall @t108 @t98)) % 0.45/0.65 (define @t111 () (or @t110 @t96)) % 0.45/0.65 (define @t112 () (forall @t30 @t95)) % 0.45/0.65 (define @t113 () (not @t112)) % 0.45/0.65 (define @t114 () (not @t61)) % 0.45/0.65 (define @t115 () (or @t114 @t93)) % 0.45/0.65 (define @t116 () (and @t61 @t92)) % 0.45/0.65 (define @t117 () (forall @t30 (not @t116))) % 0.45/0.65 (define @t118 () (not @t117)) % 0.45/0.65 (define @t119 () (not @t58)) % 0.45/0.65 (define @t120 () (or @t119 @t56)) % 0.45/0.65 (define @t121 () (forall @t30 @t114)) % 0.45/0.65 (define @t122 () (not @t121)) % 0.45/0.65 (define @t123 () (@quantifiers_skolemize (forall @t5 (or (not @t88) @t102)) 0)) % 0.45/0.65 (define @t124 () (forall @t30 (_ @t123 @t9 @t9))) % 0.45/0.65 (define @t125 () (not (_ @t123 @t9 @t8))) % 0.45/0.65 (define @t126 () (forall @t100 (or @t98 (not (forall @t30 (or @t95 (not (forall @t59 (or @t91 @t125))))))))) % 0.45/0.65 (define @t127 () (not @t126)) % 0.45/0.65 (define @t128 () (not @t124)) % 0.45/0.65 (define @t129 () (or @t128 @t127)) % 0.45/0.65 (define @t130 () (@list true)) % 0.45/0.65 (define @t131 () (@list @t129)) % 0.45/0.65 (define @t132 () (@const 0 $$unsorted)) % 0.45/0.65 (define @t133 () (_ @t123 @t132 @t8)) % 0.45/0.65 (define @t134 () (not @t133)) % 0.45/0.65 (define @t135 () (not (forall @t59 (or @t134 @t125)))) % 0.45/0.65 (define @t136 () (_ @t123 @t132 @t9)) % 0.45/0.65 (define @t137 () (forall @t30 (or (not @t136) @t135))) % 0.45/0.65 (define @t138 () (not @t137)) % 0.45/0.65 (define @t139 () (_ @t123 @t132 @t132)) % 0.45/0.65 (define @t140 () (_ @t123 @t132)) % 0.45/0.65 (define @t141 () (_ @t140 @t132)) % 0.45/0.65 (define @t142 () (not @t141)) % 0.45/0.65 (define @t143 () (or @t142 @t138)) % 0.45/0.65 (define @t144 () (_ @t140 @t9)) % 0.45/0.65 (define @t145 () (not @t144)) % 0.45/0.65 (define @t146 () (or @t145 @t135)) % 0.45/0.65 (define @t147 () (_ @t140 @t8)) % 0.45/0.65 (define @t148 () (not @t147)) % 0.45/0.65 (define @t149 () (or @t148 @t125)) % 0.45/0.65 (define @t150 () (_ @t140 @t8)) % 0.45/0.65 (define @t151 () (not @t150)) % 0.45/0.65 (define @t152 () (or @t151 @t125)) % 0.45/0.65 (define @t153 () (forall @t59 @t152)) % 0.45/0.65 (define @t154 () (not @t153)) % 0.45/0.65 (define @t155 () (_ @t140 @t9)) % 0.45/0.65 (define @t156 () (not @t155)) % 0.45/0.65 (define @t157 () (or @t156 @t154)) % 0.45/0.65 (define @t158 () (forall @t30 @t157)) % 0.45/0.65 (define @t159 () (not @t158)) % 0.45/0.65 (define @t160 () (_ @t140 @t132)) % 0.45/0.65 (define @t161 () (not @t160)) % 0.45/0.65 (define @t162 () (or @t161 @t159)) % 0.45/0.65 (define @t163 () (not @t139)) % 0.45/0.65 (define @t164 () (or @t163 @t138)) % 0.45/0.65 (define @t165 () (@list false false)) % 0.45/0.65 (define @t166 () (@quantifiers_skolemize @t137 0)) % 0.45/0.65 (define @t167 () (forall @t59 (or @t134 (not (_ @t123 @t166 @t8))))) % 0.45/0.65 (define @t168 () (not @t167)) % 0.45/0.65 (define @t169 () (_ @t123 @t132 @t166)) % 0.45/0.65 (define @t170 () (not @t169)) % 0.45/0.65 (define @t171 () (or @t170 @t168)) % 0.45/0.65 (define @t172 () (@list @t171)) % 0.45/0.65 (define @t173 () (@list @t166)) % 0.45/0.65 (define @t174 () (_ @t123 @t166 @t166)) % 0.45/0.65 (define @t175 () (not @t174)) % 0.45/0.65 (define @t176 () (or @t170 @t175)) % 0.45/0.65 (assume @p1 @t7) % 0.45/0.65 (assume @p2 true) % 0.45/0.65 (step @p3 (= tptp.subrel @t16) :rule refl :args (@t16)) % 0.45/0.65 (step @p4 (= tptp.inv @t20) :rule refl :args (@t20)) % 0.45/0.65 (step @p5 (= tptp.idem @t24) :rule refl :args (@t24)) % 0.45/0.65 (step @p6 (= tptp.infl @t26) :rule refl :args (@t26)) % 0.45/0.65 (step @p7 (= tptp.mono @t28) :rule refl :args (@t28)) % 0.45/0.65 (step @p8 (= tptp.refl @t32) :rule refl :args (@t32)) % 0.45/0.65 (step @p9 (= tptp.irrefl @t33) :rule refl :args (@t33)) % 0.45/0.65 (step @p10 (= tptp.rc @t35) :rule refl :args (@t35)) % 0.45/0.65 (step @p11 (= tptp.symm @t36) :rule refl :args (@t36)) % 0.45/0.65 (step @p12 (= tptp.antisymm @t37) :rule refl :args (@t37)) % 0.45/0.65 (step @p13 (= tptp.asymm @t38) :rule refl :args (@t38)) % 0.45/0.65 (step @p14 (= tptp.sc @t39) :rule refl :args (@t39)) % 0.45/0.65 (step @p15 (= tptp.trans @t43) :rule refl :args (@t43)) % 0.45/0.65 (step @p16 (= tptp.tc @t44) :rule refl :args (@t44)) % 0.45/0.65 (step @p17 (= tptp.trc @t50) :rule refl :args (@t50)) % 0.45/0.65 (step @p18 (= tptp.trsc @t51) :rule refl :args (@t51)) % 0.45/0.65 (step @p19 (= tptp.po @t53) :rule refl :args (@t53)) % 0.45/0.65 (step @p20 (= tptp.so @t54) :rule refl :args (@t54)) % 0.45/0.65 (step @p21 (= tptp.total @t55) :rule refl :args (@t55)) % 0.45/0.65 (step @p22 (= tptp.term @t68) :rule refl :args (@t68)) % 0.45/0.65 (step @p23 (= tptp.ind @t71) :rule refl :args (@t71)) % 0.45/0.65 (step @p24 (= tptp.innf @t72) :rule refl :args (@t72)) % 0.45/0.65 (step @p25 (= tptp.nfof @t75) :rule refl :args (@t75)) % 0.45/0.65 (step @p26 (= tptp.norm @t76) :rule refl :args (@t76)) % 0.45/0.65 (step @p27 (= tptp.join @t79) :rule refl :args (@t79)) % 0.45/0.65 (step @p28 (= tptp.lconfl @t82) :rule refl :args (@t82)) % 0.45/0.65 (step @p29 (= tptp.sconfl @t84) :rule refl :args (@t84)) % 0.45/0.65 (step @p30 (= tptp.confl @t85) :rule refl :args (@t85)) % 0.45/0.65 (step @p31 (= tptp.cr @t86) :rule refl :args (@t86)) % 0.45/0.65 (step @p32 :rule bool-impl-elim :args (@t88 @t102)) % 0.45/0.65 (step @p33 :rule cong :premises (@p32) :args ((forall @t5 (=> @t88 @t102)))) % 0.45/0.65 (step @p34 :rule beta-reduce :args ((= @t103 @t101))) % 0.45/0.65 (step @p35 :rule cong :premises (@p34) :args (@t104)) % 0.45/0.65 (step @p36 :rule beta-reduce :args ((= @t105 @t88))) % 0.45/0.65 (step @p37 :rule cong :premises (@p36 @p35) :args (@t106)) % 0.45/0.65 (step @p38 :rule cong :premises (@p37) :args (@t107)) % 0.45/0.65 (step @p39 :rule trans :premises (@p38 @p33)) % 0.45/0.65 (step @p40 :rule cong :premises (@p39) :args ((not @t107))) % 0.45/0.65 (step @p41 :rule refl :args (@t1)) % 0.45/0.65 (step @p42 :rule quant-merge-prenex :args ((= (forall @t66 @t109) @t101))) % 0.45/0.65 (step @p43 :rule refl :args (@t96)) % 0.45/0.65 (step @p44 :rule alpha_equiv :args (@t110 (@list @t97) (@list @t9))) % 0.45/0.65 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t111)) % 0.45/0.65 (step @p46 :rule quant-miniscope-or :args ((= @t109 @t111))) % 0.45/0.65 (step @p47 :rule trans :premises (@p46 @p45)) % 0.45/0.65 (step @p48 :rule symm :premises (@p47)) % 0.45/0.65 (step @p49 :rule cong :premises (@p48) :args ((forall @t66 (or @t112 @t96)))) % 0.45/0.65 (step @p50 :rule trans :premises (@p49 @p42)) % 0.45/0.65 (step @p51 :rule bool-double-not-elim :args (@t112)) % 0.45/0.65 (step @p52 :rule nary_cong :premises (@p51 @p43) :args ((or (not @t113) @t96))) % 0.45/0.65 (step @p53 :rule bool-impl-elim :args (@t113 @t96)) % 0.45/0.65 (step @p54 :rule trans :premises (@p53 @p52)) % 0.45/0.65 (step @p55 :rule cong :premises (@p54) :args ((forall @t66 (=> @t113 @t96)))) % 0.45/0.65 (step @p56 :rule trans :premises (@p55 @p50)) % 0.45/0.65 (step @p57 :rule refl :args (@t93)) % 0.45/0.65 (step @p58 :rule refl :args (@t94)) % 0.45/0.65 (step @p59 :rule refl :args (@t61)) % 0.45/0.65 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t61 @t94))) % 0.45/0.65 (step @p61 :rule symm :premises (@p60)) % 0.45/0.65 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.45/0.65 (step @p63 :rule cong :premises (@p62) :args (@t114)) % 0.45/0.65 (step @p64 :rule nary_cong :premises (@p63 @p57) :args (@t115)) % 0.45/0.65 (step @p65 :rule cong :premises (@p64) :args ((forall @t30 @t115))) % 0.45/0.65 (step @p66 :rule bool-and-de-morgan :args (@t61 @t92 true)) % 0.45/0.65 (step @p67 :rule cong :premises (@p66) :args (@t117)) % 0.45/0.65 (step @p68 :rule trans :premises (@p67 @p65)) % 0.45/0.65 (step @p69 :rule cong :premises (@p68) :args (@t118)) % 0.45/0.65 (step @p70 :rule exists-elim :args ((= (exists @t30 @t116) @t118))) % 0.45/0.65 (step @p71 :rule trans :premises (@p70 @p69)) % 0.45/0.65 (step @p72 :rule refl :args (@t89)) % 0.45/0.65 (step @p73 :rule refl :args (@t13)) % 0.45/0.65 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t13 @t89))) % 0.45/0.65 (step @p75 :rule symm :premises (@p74)) % 0.45/0.65 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.45/0.65 (step @p77 :rule cong :premises (@p76) :args (@t56)) % 0.45/0.65 (step @p78 :rule refl :args (@t90)) % 0.45/0.65 (step @p79 :rule refl :args (@t58)) % 0.45/0.65 (step @p80 :rule cong :premises (@p79 @p78) :args ((= @t58 @t90))) % 0.45/0.65 (step @p81 :rule symm :premises (@p80)) % 0.45/0.65 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.45/0.65 (step @p83 :rule cong :premises (@p82) :args (@t119)) % 0.45/0.65 (step @p84 :rule nary_cong :premises (@p83 @p77) :args (@t120)) % 0.45/0.65 (step @p85 :rule cong :premises (@p84) :args ((forall @t59 @t120))) % 0.45/0.65 (step @p86 :rule bool-impl-elim :args (@t58 @t56)) % 0.45/0.65 (step @p87 :rule cong :premises (@p86) :args (@t60)) % 0.45/0.65 (step @p88 :rule trans :premises (@p87 @p85)) % 0.45/0.65 (step @p89 :rule refl :args (@t61)) % 0.45/0.65 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t62)) % 0.45/0.65 (step @p91 :rule cong :premises (@p90) :args (@t63)) % 0.45/0.65 (step @p92 :rule trans :premises (@p91 @p71)) % 0.45/0.65 (step @p93 :rule cong :premises (@p63) :args (@t121)) % 0.45/0.65 (step @p94 :rule cong :premises (@p93) :args (@t122)) % 0.45/0.65 (step @p95 :rule exists-elim :args ((= @t64 @t122))) % 0.45/0.65 (step @p96 :rule trans :premises (@p95 @p94)) % 0.45/0.65 (step @p97 :rule cong :premises (@p96 @p92) :args (@t65)) % 0.45/0.65 (step @p98 :rule cong :premises (@p97) :args (@t67)) % 0.45/0.65 (step @p99 :rule trans :premises (@p98 @p56)) % 0.45/0.65 (step @p100 :rule cong :premises (@p99) :args (@t68)) % 0.45/0.65 (step @p101 :rule trans :premises (@p22 @p100)) % 0.45/0.65 (step @p102 :rule ho_cong :premises (@p101 @p41)) % 0.45/0.65 (step @p103 :rule cong :premises (@p102) :args (@t2)) % 0.45/0.65 (step @p104 :rule refl :args (@t87)) % 0.45/0.65 (step @p105 :rule refl :args (@t29)) % 0.45/0.65 (step @p106 :rule cong :premises (@p105 @p104) :args ((= @t29 @t87))) % 0.45/0.65 (step @p107 :rule symm :premises (@p106)) % 0.45/0.65 (step @p108 :rule eq_resolve :premises (@p105 @p107)) % 0.45/0.65 (step @p109 :rule cong :premises (@p108) :args (@t31)) % 0.45/0.65 (step @p110 :rule cong :premises (@p109) :args (@t32)) % 0.45/0.65 (step @p111 :rule trans :premises (@p8 @p110)) % 0.45/0.65 (step @p112 :rule ho_cong :premises (@p111 @p41)) % 0.45/0.65 (step @p113 :rule cong :premises (@p112 @p103) :args (@t4)) % 0.45/0.65 (step @p114 :rule cong :premises (@p113) :args (@t6)) % 0.45/0.65 (step @p115 :rule cong :premises (@p114) :args (@t7)) % 0.45/0.65 (step @p116 :rule trans :premises (@p115 @p40)) % 0.45/0.65 (step @p117 :rule eq_resolve :premises (@p1 @p116)) % 0.45/0.65 (step @p118 :rule skolemize :premises (@p117)) % 0.45/0.65 (step @p119 :rule bool-double-not-elim :args (@t124)) % 0.45/0.65 (step @p120 :rule refl :args (@t129)) % 0.45/0.65 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t129 (not @t128)))) % 0.45/0.65 (step @p122 :rule cnf_or_neg :args (@t129 0)) % 0.45/0.65 (step @p123 :rule eq_resolve :premises (@p122 @p121)) % 0.45/0.65 (step @p124 :rule reordering :premises (@p123) :args ((or @t124 @t129))) % 0.45/0.65 (step @p125 :rule chain_m_resolution :premises (@p124 @p118) :args (@t124 @t130 @t131)) % 0.45/0.65 (step @p126 :rule bool-double-not-elim :args (@t126)) % 0.45/0.65 (step @p127 :rule nary_cong :premises (@p120 @p126) :args ((or @t129 (not @t127)))) % 0.45/0.65 (step @p128 :rule cnf_or_neg :args (@t129 1)) % 0.45/0.65 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.45/0.65 (step @p130 :rule reordering :premises (@p129) :args ((or @t126 @t129))) % 0.45/0.65 (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t126 @t130 @t131)) % 0.45/0.65 (step @p132 :rule refl :args (@t138)) % 0.45/0.65 (step @p133 :rule refl :args (@t139)) % 0.45/0.65 (step @p134 :rule refl :args (@t141)) % 0.45/0.65 (step @p135 :rule cong :premises (@p134 @p133) :args ((= @t141 @t139))) % 0.45/0.65 (step @p136 :rule symm :premises (@p135)) % 0.45/0.65 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 0.45/0.65 (step @p138 :rule cong :premises (@p137) :args (@t142)) % 0.45/0.65 (step @p139 :rule nary_cong :premises (@p138 @p132) :args (@t143)) % 0.45/0.65 (step @p140 :rule refl :args (@t126)) % 0.45/0.65 (step @p141 :rule cong :premises (@p140 @p139) :args ((=> @t126 @t143))) % 0.45/0.65 (step @p142 :rule refl :args (@t135)) % 0.45/0.65 (step @p143 :rule refl :args (@t136)) % 0.45/0.65 (step @p144 :rule refl :args (@t144)) % 0.45/0.65 (step @p145 :rule cong :premises (@p144 @p143) :args ((= @t144 @t136))) % 0.45/0.65 (step @p146 :rule symm :premises (@p145)) % 0.45/0.65 (step @p147 :rule eq_resolve :premises (@p144 @p146)) % 0.45/0.65 (step @p148 :rule cong :premises (@p147) :args (@t145)) % 0.45/0.65 (step @p149 :rule nary_cong :premises (@p148 @p142) :args (@t146)) % 0.45/0.65 (step @p150 :rule cong :premises (@p149) :args ((forall @t30 @t146))) % 0.45/0.65 (step @p151 :rule refl :args (@t125)) % 0.45/0.65 (step @p152 :rule refl :args (@t133)) % 0.45/0.65 (step @p153 :rule refl :args (@t147)) % 0.45/0.65 (step @p154 :rule cong :premises (@p153 @p152) :args ((= @t147 @t133))) % 0.45/0.66 (step @p155 :rule symm :premises (@p154)) % 0.45/0.66 (step @p156 :rule eq_resolve :premises (@p153 @p155)) % 0.45/0.66 (step @p157 :rule cong :premises (@p156) :args (@t148)) % 0.45/0.66 (step @p158 :rule nary_cong :premises (@p157 @p151) :args (@t149)) % 0.45/0.66 (step @p159 :rule cong :premises (@p158) :args ((forall @t59 @t149))) % 0.45/0.66 (step @p160 :rule refl :args (@t125)) % 0.45/0.66 (step @p161 :rule refl :args (@t150)) % 0.45/0.66 (step @p162 :rule cong :premises (@p161) :args (@t151)) % 0.45/0.66 (step @p163 :rule nary_cong :premises (@p162 @p160) :args (@t152)) % 0.45/0.66 (step @p164 :rule cong :premises (@p163) :args (@t153)) % 0.45/0.66 (step @p165 :rule trans :premises (@p164 @p159)) % 0.45/0.66 (step @p166 :rule cong :premises (@p165) :args (@t154)) % 0.45/0.66 (step @p167 :rule refl :args (@t155)) % 0.45/0.66 (step @p168 :rule cong :premises (@p167) :args (@t156)) % 0.45/0.66 (step @p169 :rule nary_cong :premises (@p168 @p166) :args (@t157)) % 0.45/0.66 (step @p170 :rule cong :premises (@p169) :args (@t158)) % 0.45/0.66 (step @p171 :rule trans :premises (@p170 @p150)) % 0.45/0.66 (step @p172 :rule cong :premises (@p171) :args (@t159)) % 0.45/0.66 (step @p173 :rule refl :args (@t160)) % 0.45/0.66 (step @p174 :rule cong :premises (@p173) :args (@t161)) % 0.45/0.66 (step @p175 :rule nary_cong :premises (@p174 @p172) :args (@t162)) % 0.45/0.66 (step @p176 :rule cong :premises (@p140 @p175) :args ((=> @t126 @t162))) % 0.45/0.66 (assume-push @p213 @t126) % 0.45/0.66 (step @p178 :rule instantiate :premises (@p131) :args ((@list @t140 @t132))) % 0.45/0.66 (step-pop @p214 :rule scope :premises (@p178)) % 0.45/0.66 (step @p179 :rule process_scope :premises (@p214) :args (@t162)) % 0.45/0.66 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 0.45/0.66 (step @p182 :rule eq_resolve :premises (@p181 @p141)) % 0.45/0.66 (step @p183 :rule implies_elim :premises (@p182)) % 0.45/0.66 (step @p184 :rule chain_m_resolution :premises (@p183 @p131) :args (@t164 (@list false) (@list @t126))) % 0.45/0.66 (step @p185 :rule instantiate :premises (@p125) :args ((@list @t132))) % 0.45/0.66 (step @p186 :rule cnf_or_pos :args (@t164)) % 0.45/0.66 (step @p187 :rule reordering :premises (@p186) :args ((or @t163 @t138 (not @t164)))) % 0.45/0.66 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p184) :args (@t138 @t165 (@list @t139 @t164))) % 0.45/0.66 (step @p189 :rule skolemize :premises (@p188)) % 0.45/0.66 (step @p190 :rule bool-double-not-elim :args (@t167)) % 0.45/0.66 (step @p191 :rule refl :args (@t171)) % 0.45/0.66 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t171 (not @t168)))) % 0.45/0.66 (step @p193 :rule cnf_or_neg :args (@t171 1)) % 0.45/0.66 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 0.45/0.66 (step @p195 :rule reordering :premises (@p194) :args ((or @t167 @t171))) % 0.45/0.66 (step @p196 :rule chain_m_resolution :premises (@p195 @p189) :args (@t167 @t130 @t172)) % 0.45/0.66 (step @p197 :rule instantiate :premises (@p196) :args (@t173)) % 0.45/0.66 (step @p198 :rule bool-double-not-elim :args (@t169)) % 0.45/0.66 (step @p199 :rule nary_cong :premises (@p191 @p198) :args ((or @t171 (not @t170)))) % 0.45/0.66 (step @p200 :rule cnf_or_neg :args (@t171 0)) % 0.45/0.66 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 0.45/0.66 (step @p202 :rule reordering :premises (@p201) :args ((or @t169 @t171))) % 0.45/0.66 (step @p203 :rule chain_m_resolution :premises (@p202 @p189) :args (@t169 @t130 @t172)) % 0.45/0.66 (step @p204 :rule cnf_or_pos :args (@t176)) % 0.45/0.66 (step @p205 :rule reordering :premises (@p204) :args ((or @t170 @t175 (not @t176)))) % 0.45/0.66 (step @p206 :rule chain_m_resolution :premises (@p205 @p203 @p197) :args (@t175 @t165 (@list @t169 @t176))) % 0.45/0.66 (assume-push @p215 @t124) % 0.45/0.66 (step @p208 :rule instantiate :premises (@p125) :args (@t173)) % 0.45/0.66 (step-pop @p216 :rule scope :premises (@p208)) % 0.45/0.66 (step @p209 :rule process_scope :premises (@p216) :args (@t174)) % 0.45/0.66 (step @p211 :rule implies_elim :premises (@p209)) % 0.45/0.66 (step @p212 false :rule chain_m_resolution :premises (@p211 @p206 @p125) :args (false (@list true false) (@list @t174 @t124))) % 0.45/0.66 ) % 0.45/0.66 % SZS output end Proof % 0.45/0.66 % cvc5 exiting %------------------------------------------------------------------------------