%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU497^1 : 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 : n027.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 08:51:57 AM UTC 2026 % Result : Theorem 0.44s 0.63s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU497^1 : 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 : n027.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 17:39:06 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.44/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.63 % SZS status Theorem % 0.44/0.63 % SZS output start Proof % 0.44/0.63 ( % 0.44/0.63 (declare-sort $$unsorted 0) % 0.44/0.63 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.44/0.63 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.44/0.63 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.44/0.63 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.44/0.63 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.44/0.63 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.63 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.44/0.63 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.63 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.63 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.44/0.63 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.44/0.63 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.63 (define tptp.trans () (let ((_let_1 (@var "Z" $$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)))))))))) % 0.44/0.63 (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))))))))) % 0.44/0.63 (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)))))) % 0.44/0.63 (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)))))) % 0.44/0.63 (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))))) % 0.44/0.63 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.44/0.63 (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)))))))) % 0.44/0.63 (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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.44/0.63 (define tptp.ind () (let ((_let_1 (@var "X" $$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))))))))))) % 0.44/0.63 (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)))))))) % 0.44/0.63 (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))))))) % 0.44/0.63 (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)))))))) % 0.44/0.63 (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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.44/0.63 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.44/0.63 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.44/0.63 (define tptp.confl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.44/0.63 (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)))))))) % 0.44/0.63 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.63 (define @t2 () (=> (_ tptp.so @t1) (_ tptp.po (_ tptp.rc @t1)))) % 0.44/0.63 (define @t3 () (@list @t1)) % 0.44/0.63 (define @t4 () (forall @t3 @t2)) % 0.44/0.63 (define @t5 () (not @t4)) % 0.44/0.63 (define @t6 () (@var "Y" $$unsorted)) % 0.44/0.63 (define @t7 () (@var "X" $$unsorted)) % 0.44/0.63 (define @t8 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.44/0.63 (define @t9 () (_ (_ @t8 @t7) @t6)) % 0.44/0.63 (define @t10 () (_ @t1 @t7)) % 0.44/0.63 (define @t11 () (_ @t10 @t6)) % 0.44/0.63 (define @t12 () (@list @t7 @t6)) % 0.44/0.63 (define @t13 () (@list @t1 @t8)) % 0.44/0.63 (define @t14 () (lambda @t13 (forall @t12 (=> @t11 @t9)))) % 0.44/0.63 (define @t15 () (_ @t1 @t6)) % 0.44/0.63 (define @t16 () (_ @t15 @t7)) % 0.44/0.63 (define @t17 () (@list @t1 @t7 @t6)) % 0.44/0.63 (define @t18 () (lambda @t17 @t16)) % 0.44/0.63 (define @t19 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.44/0.63 (define @t20 () (_ @t19 @t1)) % 0.44/0.63 (define @t21 () (@list @t19)) % 0.44/0.63 (define @t22 () (lambda @t21 (forall @t3 (= (_ @t19 @t20) @t20)))) % 0.44/0.63 (define @t23 () (_ tptp.subrel @t1)) % 0.44/0.63 (define @t24 () (lambda @t21 (forall @t3 (_ @t23 @t20)))) % 0.44/0.63 (define @t25 () (_ @t23 @t8)) % 0.44/0.63 (define @t26 () (lambda @t21 (forall @t13 (=> @t25 (_ (_ tptp.subrel @t20) (_ @t19 @t8)))))) % 0.44/0.63 (define @t27 () (_ @t10 @t7)) % 0.44/0.63 (define @t28 () (@list @t7)) % 0.44/0.63 (define @t29 () (forall @t28 @t27)) % 0.44/0.63 (define @t30 () (lambda @t3 @t29)) % 0.44/0.63 (define @t31 () (lambda @t3 (forall @t28 (not @t27)))) % 0.44/0.63 (define @t32 () (= @t7 @t6)) % 0.44/0.63 (define @t33 () (or @t32 @t11)) % 0.44/0.63 (define @t34 () (lambda @t17 @t33)) % 0.44/0.63 (define @t35 () (lambda @t3 (forall @t12 (=> @t11 @t16)))) % 0.44/0.63 (define @t36 () (and @t11 @t16)) % 0.44/0.63 (define @t37 () (forall @t12 (=> @t36 @t32))) % 0.44/0.63 (define @t38 () (lambda @t3 @t37)) % 0.44/0.63 (define @t39 () (not @t16)) % 0.44/0.63 (define @t40 () (forall @t12 (=> @t11 @t39))) % 0.44/0.63 (define @t41 () (lambda @t3 @t40)) % 0.44/0.63 (define @t42 () (lambda @t17 (or @t16 @t11))) % 0.44/0.63 (define @t43 () (@var "Z" $$unsorted)) % 0.44/0.63 (define @t44 () (_ @t10 @t43)) % 0.44/0.63 (define @t45 () (_ @t15 @t43)) % 0.44/0.63 (define @t46 () (and @t11 @t45)) % 0.44/0.63 (define @t47 () (@list @t7 @t6 @t43)) % 0.44/0.63 (define @t48 () (forall @t47 (=> @t46 @t44))) % 0.44/0.63 (define @t49 () (lambda @t3 @t48)) % 0.44/0.63 (define @t50 () (lambda @t17 (forall (@list @t8) (=> (and (_ tptp.trans @t8) @t25) @t9)))) % 0.44/0.63 (define @t51 () (@var "__flatten_var_1" $$unsorted)) % 0.44/0.63 (define @t52 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.63 (define @t53 () (_ tptp.tc @t1)) % 0.44/0.63 (define @t54 () (_ tptp.rc @t53)) % 0.44/0.63 (define @t55 () (@list @t1 @t52 @t51)) % 0.44/0.63 (define @t56 () (lambda @t55 (_ (_ @t54 @t52) @t51))) % 0.44/0.63 (define @t57 () (lambda @t55 (_ (_ (_ tptp.sc @t54) @t52) @t51))) % 0.44/0.63 (define @t58 () (_ tptp.trans @t1)) % 0.44/0.63 (define @t59 () (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t58)) % 0.44/0.63 (define @t60 () (lambda @t3 @t59)) % 0.44/0.63 (define @t61 () (and (_ tptp.asymm @t1) @t58)) % 0.44/0.63 (define @t62 () (lambda @t3 @t61)) % 0.44/0.63 (define @t63 () (lambda @t3 (forall @t12 (or @t32 @t11 @t16)))) % 0.44/0.63 (define @t64 () (not @t11)) % 0.44/0.63 (define @t65 () (@var "A" (-> $$unsorted Bool))) % 0.44/0.63 (define @t66 () (@list @t6)) % 0.44/0.63 (define @t67 () (_ @t65 @t7)) % 0.44/0.63 (define @t68 () (lambda @t3 (forall (@list @t65) (=> (exists @t28 @t67) (exists @t28 (and @t67 (forall @t66 (=> (_ @t65 @t6) @t64)))))))) % 0.44/0.63 (define @t69 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.63 (define @t70 () (_ @t69 @t7)) % 0.44/0.63 (define @t71 () (lambda @t3 (forall (@list @t69) (=> (forall @t28 (=> (forall @t66 (=> (_ (_ @t53 @t7) @t6) (_ @t69 @t6))) @t70)) (forall @t28 @t70))))) % 0.44/0.63 (define @t72 () (lambda (@list @t1 @t7) (not (exists @t66 @t11)))) % 0.44/0.63 (define @t73 () (_ tptp.trc @t1)) % 0.44/0.63 (define @t74 () (_ @t73 @t6)) % 0.44/0.63 (define @t75 () (lambda @t17 (and (_ @t74 @t7) (_ (_ tptp.innf @t1) @t7)))) % 0.44/0.63 (define @t76 () (lambda @t3 (forall @t28 (exists @t66 (_ (_ (_ tptp.nfof @t1) @t6) @t7))))) % 0.44/0.63 (define @t77 () (_ @t73 @t7)) % 0.44/0.63 (define @t78 () (_ @t77 @t43)) % 0.44/0.63 (define @t79 () (lambda @t17 (exists (@list @t43) (and @t78 (_ @t74 @t43))))) % 0.44/0.63 (define @t80 () (_ tptp.join @t1)) % 0.44/0.63 (define @t81 () (_ (_ @t80 @t43) @t6)) % 0.44/0.63 (define @t82 () (lambda @t3 (forall @t47 (=> (and @t44 @t11) @t81)))) % 0.44/0.63 (define @t83 () (_ @t77 @t6)) % 0.44/0.63 (define @t84 () (lambda @t3 (forall @t47 (=> (and @t44 @t83) @t81)))) % 0.44/0.63 (define @t85 () (lambda @t3 (forall @t47 (=> (and @t78 @t83) @t81)))) % 0.44/0.63 (define @t86 () (lambda @t3 (forall @t12 (=> (_ (_ (_ tptp.trsc @t1) @t7) @t6) (_ (_ @t80 @t7) @t6))))) % 0.44/0.63 (define @t87 () (@var "BOUND_VARIABLE_8906" $$unsorted)) % 0.44/0.63 (define @t88 () (@var "BOUND_VARIABLE_8902" $$unsorted)) % 0.44/0.63 (define @t89 () (@var "BOUND_VARIABLE_8904" $$unsorted)) % 0.44/0.63 (define @t90 () (or (and (not (= @t88 @t89)) (not (_ @t1 @t88 @t89))) (and (not (= @t89 @t87)) (not (_ @t1 @t89 @t87))) (= @t88 @t87) (_ @t1 @t88 @t87))) % 0.44/0.63 (define @t91 () (@var "BOUND_VARIABLE_8891" $$unsorted)) % 0.44/0.63 (define @t92 () (@var "BOUND_VARIABLE_8889" $$unsorted)) % 0.44/0.63 (define @t93 () (= @t92 @t91)) % 0.44/0.63 (define @t94 () (not @t93)) % 0.44/0.63 (define @t95 () (or (and @t94 (not (_ @t1 @t92 @t91))) (and @t94 (not (_ @t1 @t91 @t92))) @t93)) % 0.44/0.63 (define @t96 () (and @t95 @t90)) % 0.44/0.63 (define @t97 () (_ @t1 @t7 @t43)) % 0.44/0.63 (define @t98 () (_ @t1 @t6 @t43)) % 0.44/0.63 (define @t99 () (not @t98)) % 0.44/0.63 (define @t100 () (_ @t1 @t7 @t6)) % 0.44/0.63 (define @t101 () (not @t100)) % 0.44/0.63 (define @t102 () (forall @t47 (or @t101 @t99 @t97))) % 0.44/0.63 (define @t103 () (not @t102)) % 0.44/0.63 (define @t104 () (_ @t1 @t6 @t7)) % 0.44/0.63 (define @t105 () (not @t104)) % 0.44/0.63 (define @t106 () (forall @t12 (or @t101 @t105))) % 0.44/0.63 (define @t107 () (not @t106)) % 0.44/0.63 (define @t108 () (or @t107 @t103 @t96)) % 0.44/0.63 (define @t109 () (forall (@list @t1 @t92 @t91 @t88 @t89 @t87) @t108)) % 0.44/0.63 (define @t110 () (@list @t92 @t91 @t88 @t89 @t87)) % 0.44/0.63 (define @t111 () (forall @t110 @t108)) % 0.44/0.63 (define @t112 () (forall (@list @t88 @t89 @t87) @t90)) % 0.44/0.63 (define @t113 () (forall @t110 @t90)) % 0.44/0.63 (define @t114 () (forall (@list @t92 @t91) @t95)) % 0.44/0.63 (define @t115 () (forall @t110 @t95)) % 0.44/0.63 (define @t116 () (and @t115 @t113)) % 0.44/0.63 (define @t117 () (forall @t110 @t96)) % 0.44/0.63 (define @t118 () (or @t107 @t103 @t117)) % 0.44/0.63 (define @t119 () (= @t7 @t43)) % 0.44/0.63 (define @t120 () (= @t6 @t43)) % 0.44/0.63 (define @t121 () (not @t120)) % 0.44/0.63 (define @t122 () (not @t32)) % 0.44/0.63 (define @t123 () (and @t122 @t101)) % 0.44/0.63 (define @t124 () (forall @t47 (or @t123 (and @t121 @t99) @t119 @t97))) % 0.44/0.63 (define @t125 () (forall @t12 (or @t123 (and @t122 @t105) @t32))) % 0.44/0.63 (define @t126 () (and @t125 @t124)) % 0.44/0.63 (define @t127 () (or @t107 @t103 @t126)) % 0.44/0.63 (define @t128 () (and @t106 @t102)) % 0.44/0.63 (define @t129 () (not @t45)) % 0.44/0.63 (define @t130 () (and @t121 @t129)) % 0.44/0.63 (define @t131 () (and @t122 @t64)) % 0.44/0.63 (define @t132 () (or @t131 @t130 @t119 @t44)) % 0.44/0.63 (define @t133 () (or @t120 @t45)) % 0.44/0.63 (define @t134 () (not @t133)) % 0.44/0.63 (define @t135 () (not @t33)) % 0.44/0.63 (define @t136 () (or @t135 @t134 @t119 @t44)) % 0.44/0.63 (define @t137 () (or @t119 @t44)) % 0.44/0.63 (define @t138 () (lambda @t12 @t33)) % 0.44/0.63 (define @t139 () (_ @t138 @t7 @t43)) % 0.44/0.63 (define @t140 () (_ @t138 @t6 @t43)) % 0.44/0.63 (define @t141 () (not @t140)) % 0.44/0.63 (define @t142 () (_ @t138 @t7 @t6)) % 0.44/0.63 (define @t143 () (not @t142)) % 0.44/0.63 (define @t144 () (or @t143 @t141 @t139)) % 0.44/0.63 (define @t145 () (forall @t47 @t144)) % 0.44/0.63 (define @t146 () (and @t122 @t39)) % 0.44/0.63 (define @t147 () (or @t131 @t146 @t32)) % 0.44/0.63 (define @t148 () (or @t135 (not (or @t32 @t16)) @t32)) % 0.44/0.63 (define @t149 () (or (= @t6 @t7) @t16)) % 0.44/0.63 (define @t150 () (_ @t138 @t6 @t7)) % 0.44/0.63 (define @t151 () (not @t150)) % 0.44/0.63 (define @t152 () (or @t143 @t151 @t32)) % 0.44/0.63 (define @t153 () (forall @t12 @t152)) % 0.44/0.63 (define @t154 () (or (= @t7 @t7) @t27)) % 0.44/0.63 (define @t155 () (_ @t138 @t7 @t7)) % 0.44/0.63 (define @t156 () (forall @t28 @t155)) % 0.44/0.63 (define @t157 () (and @t156 @t153 @t145)) % 0.44/0.63 (define @t158 () (forall @t12 (or @t101 @t105 @t32))) % 0.44/0.63 (define @t159 () (_ @t1 @t7 @t7)) % 0.44/0.63 (define @t160 () (forall @t28 @t159)) % 0.44/0.63 (define @t161 () (lambda @t3 (and @t160 @t158 @t102))) % 0.44/0.63 (define @t162 () (_ @t34 @t1)) % 0.44/0.63 (define @t163 () (_ (lambda @t3 @t128) @t1)) % 0.44/0.63 (define @t164 () (=> @t163 (_ @t161 @t162))) % 0.44/0.63 (define @t165 () (forall @t3 @t164)) % 0.44/0.63 (define @t166 () (_ (lambda @t3 @t102) @t1)) % 0.44/0.63 (define @t167 () (_ (lambda @t3 @t158) @t1)) % 0.44/0.63 (define @t168 () (_ (lambda @t3 @t160) @t1)) % 0.44/0.63 (define @t169 () (or @t64 @t129 @t44)) % 0.44/0.63 (define @t170 () (or @t64 @t39 @t32)) % 0.44/0.63 (define @t171 () (or @t64 @t39)) % 0.44/0.63 (define @t172 () (_ (lambda @t3 @t106) @t1)) % 0.44/0.63 (define @t173 () (@quantifiers_skolemize @t109 0)) % 0.44/0.63 (define @t174 () (not (_ @t173 @t7 @t6))) % 0.44/0.63 (define @t175 () (forall @t12 (or @t174 (not (_ @t173 @t6 @t7))))) % 0.44/0.63 (define @t176 () (@quantifiers_skolemize @t109 5)) % 0.44/0.63 (define @t177 () (@quantifiers_skolemize @t109 3)) % 0.44/0.63 (define @t178 () (_ @t173 @t177 @t176)) % 0.44/0.63 (define @t179 () (= @t177 @t176)) % 0.44/0.63 (define @t180 () (@quantifiers_skolemize @t109 4)) % 0.44/0.63 (define @t181 () (_ @t173 @t180 @t176)) % 0.44/0.63 (define @t182 () (not @t181)) % 0.44/0.63 (define @t183 () (= @t180 @t176)) % 0.44/0.63 (define @t184 () (not @t183)) % 0.44/0.63 (define @t185 () (and @t184 @t182)) % 0.44/0.63 (define @t186 () (_ @t173 @t177 @t180)) % 0.44/0.63 (define @t187 () (not @t186)) % 0.44/0.63 (define @t188 () (= @t177 @t180)) % 0.44/0.63 (define @t189 () (not @t188)) % 0.44/0.63 (define @t190 () (and @t189 @t187)) % 0.44/0.63 (define @t191 () (or @t190 @t185 @t179 @t178)) % 0.44/0.63 (define @t192 () (@quantifiers_skolemize @t109 2)) % 0.44/0.63 (define @t193 () (@quantifiers_skolemize @t109 1)) % 0.44/0.63 (define @t194 () (= @t193 @t192)) % 0.44/0.63 (define @t195 () (_ @t173 @t192 @t193)) % 0.44/0.63 (define @t196 () (not @t195)) % 0.44/0.63 (define @t197 () (not @t194)) % 0.44/0.63 (define @t198 () (and @t197 @t196)) % 0.44/0.63 (define @t199 () (_ @t173 @t193 @t192)) % 0.44/0.63 (define @t200 () (not @t199)) % 0.44/0.63 (define @t201 () (and @t197 @t200)) % 0.44/0.63 (define @t202 () (or @t201 @t198 @t194)) % 0.44/0.63 (define @t203 () (and @t202 @t191)) % 0.44/0.63 (define @t204 () (forall @t47 (or @t174 (not (_ @t173 @t6 @t43)) (_ @t173 @t7 @t43)))) % 0.44/0.63 (define @t205 () (not @t204)) % 0.44/0.63 (define @t206 () (not @t175)) % 0.44/0.63 (define @t207 () (or @t206 @t205 @t203)) % 0.44/0.63 (define @t208 () (@list true)) % 0.44/0.63 (define @t209 () (@list @t207)) % 0.44/0.63 (define @t210 () (not @t179)) % 0.44/0.63 (define @t211 () (and @t188 @t210)) % 0.44/0.63 (define @t212 () (not @t178)) % 0.44/0.63 (define @t213 () (not @t212)) % 0.44/0.63 (define @t214 () (and @t188 @t212)) % 0.44/0.63 (define @t215 () (@list true true)) % 0.44/0.63 (define @t216 () (or @t187 @t182 @t178)) % 0.44/0.63 (define @t217 () (@list true false)) % 0.44/0.63 (define @t218 () (@list @t202)) % 0.44/0.63 (define @t219 () (not @t197)) % 0.44/0.63 (define @t220 () (or @t200 @t196)) % 0.44/0.63 (define @t221 () (not @t220)) % 0.44/0.63 (assume @p1 @t5) % 0.44/0.63 (assume @p2 true) % 0.44/0.63 (step @p3 (= tptp.subrel @t14) :rule refl :args (@t14)) % 0.44/0.63 (step @p4 (= tptp.inv @t18) :rule refl :args (@t18)) % 0.44/0.63 (step @p5 (= tptp.idem @t22) :rule refl :args (@t22)) % 0.44/0.63 (step @p6 (= tptp.infl @t24) :rule refl :args (@t24)) % 0.44/0.63 (step @p7 (= tptp.mono @t26) :rule refl :args (@t26)) % 0.44/0.63 (step @p8 (= tptp.refl @t30) :rule refl :args (@t30)) % 0.44/0.63 (step @p9 (= tptp.irrefl @t31) :rule refl :args (@t31)) % 0.44/0.63 (step @p10 (= tptp.rc @t34) :rule refl :args (@t34)) % 0.44/0.63 (step @p11 (= tptp.symm @t35) :rule refl :args (@t35)) % 0.44/0.63 (step @p12 (= tptp.antisymm @t38) :rule refl :args (@t38)) % 0.44/0.63 (step @p13 (= tptp.asymm @t41) :rule refl :args (@t41)) % 0.44/0.63 (step @p14 (= tptp.sc @t42) :rule refl :args (@t42)) % 0.44/0.63 (step @p15 (= tptp.trans @t49) :rule refl :args (@t49)) % 0.44/0.63 (step @p16 (= tptp.tc @t50) :rule refl :args (@t50)) % 0.44/0.63 (step @p17 (= tptp.trc @t56) :rule refl :args (@t56)) % 0.44/0.63 (step @p18 (= tptp.trsc @t57) :rule refl :args (@t57)) % 0.44/0.63 (step @p19 (= tptp.po @t60) :rule refl :args (@t60)) % 0.44/0.63 (step @p20 (= tptp.so @t62) :rule refl :args (@t62)) % 0.44/0.63 (step @p21 (= tptp.total @t63) :rule refl :args (@t63)) % 0.44/0.63 (step @p22 (= tptp.term @t68) :rule refl :args (@t68)) % 0.44/0.63 (step @p23 (= tptp.ind @t71) :rule refl :args (@t71)) % 0.44/0.63 (step @p24 (= tptp.innf @t72) :rule refl :args (@t72)) % 0.44/0.63 (step @p25 (= tptp.nfof @t75) :rule refl :args (@t75)) % 0.44/0.63 (step @p26 (= tptp.norm @t76) :rule refl :args (@t76)) % 0.44/0.63 (step @p27 (= tptp.join @t79) :rule refl :args (@t79)) % 0.44/0.63 (step @p28 (= tptp.lconfl @t82) :rule refl :args (@t82)) % 0.44/0.63 (step @p29 (= tptp.sconfl @t84) :rule refl :args (@t84)) % 0.44/0.63 (step @p30 (= tptp.confl @t85) :rule refl :args (@t85)) % 0.44/0.63 (step @p31 (= tptp.cr @t86) :rule refl :args (@t86)) % 0.44/0.63 (step @p32 :rule quant-merge-prenex :args ((= (forall @t3 @t111) @t109))) % 0.44/0.63 (step @p33 :rule alpha_equiv :args (@t112 (@list @t88 @t89 @t87) (@list @t7 @t6 @t43))) % 0.44/0.63 (step @p34 :rule quant-unused-vars :args ((= @t113 @t112))) % 0.44/0.63 (step @p35 :rule trans :premises (@p34 @p33)) % 0.44/0.63 (step @p36 :rule alpha_equiv :args (@t114 (@list @t92 @t91) (@list @t7 @t6))) % 0.44/0.63 (step @p37 :rule quant-unused-vars :args ((= @t115 @t114))) % 0.44/0.63 (step @p38 :rule trans :premises (@p37 @p36)) % 0.44/0.63 (step @p39 :rule nary_cong :premises (@p38 @p35) :args (@t116)) % 0.44/0.63 (step @p40 :rule quant-miniscope-and :args ((= @t117 @t116))) % 0.44/0.63 (step @p41 :rule trans :premises 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0.44/0.63 (step @p57 :rule cong :premises (@p56) :args ((forall @t3 (=> @t128 @t126)))) % 0.44/0.63 (step @p58 :rule trans :premises (@p57 @p49)) % 0.44/0.63 (step @p59 :rule aci_norm :args ((= (and true @t125 @t124) @t126))) % 0.44/0.63 (step @p60 :rule refl :args (@t97)) % 0.44/0.63 (step @p61 :rule refl :args (@t44)) % 0.44/0.63 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t44 @t97))) % 0.44/0.63 (step @p63 :rule symm :premises (@p62)) % 0.44/0.63 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.44/0.63 (step @p65 :rule refl :args (@t119)) % 0.44/0.63 (step @p66 :rule refl :args (@t98)) % 0.44/0.63 (step @p67 :rule refl :args (@t45)) % 0.44/0.63 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t45 @t98))) % 0.44/0.63 (step @p69 :rule symm :premises (@p68)) % 0.44/0.63 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.44/0.63 (step @p71 :rule cong :premises (@p70) :args (@t129)) % 0.44/0.63 (step @p72 :rule refl :args (@t121)) % 0.44/0.63 (step @p73 :rule 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(step @p176 :rule trans :premises (@p12 @p175)) % 0.44/0.63 (step @p177 :rule ho_cong :premises (@p176 @p146)) % 0.44/0.63 (step @p178 :rule refl :args (@t159)) % 0.44/0.63 (step @p179 :rule refl :args (@t27)) % 0.44/0.63 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t27 @t159))) % 0.44/0.63 (step @p181 :rule symm :premises (@p180)) % 0.44/0.63 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 0.44/0.63 (step @p183 :rule cong :premises (@p182) :args (@t29)) % 0.44/0.63 (step @p184 :rule cong :premises (@p183) :args (@t30)) % 0.44/0.63 (step @p185 :rule trans :premises (@p8 @p184)) % 0.44/0.63 (step @p186 :rule ho_cong :premises (@p185 @p146)) % 0.44/0.63 (step @p187 :rule nary_cong :premises (@p186 @p177 @p164) :args (@t59)) % 0.44/0.63 (step @p188 :rule trans :premises (@p187 @p151)) % 0.44/0.63 (step @p189 :rule cong :premises (@p188) :args (@t60)) % 0.44/0.63 (step @p190 :rule trans :premises (@p19 @p189)) % 0.44/0.63 (step @p191 :rule ho_cong :premises (@p190 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@p371 :rule scope :premises (@p370)) % 0.44/0.63 (step @p268 :rule process_scope :premises (@p371) :args (@t182)) % 0.44/0.63 (step @p271 :rule implies_elim :premises (@p268)) % 0.44/0.63 (step @p272 :rule cnf_and_neg :args (@t214)) % 0.44/0.63 (step @p273 :rule resolution :premises (@p272 @p271) :args (true @t214)) % 0.44/0.63 (step @p274 :rule eq_resolve :premises (@p273 @p253)) % 0.44/0.63 (step @p275 :rule reordering :premises (@p274) :args ((or @t189 @t182 @t178))) % 0.44/0.63 (step @p276 :rule bool-double-not-elim :args (@t181)) % 0.44/0.63 (step @p277 :rule bool-double-not-elim :args (@t183)) % 0.44/0.63 (step @p278 :rule refl :args (@t185)) % 0.44/0.63 (step @p279 :rule nary_cong :premises (@p278 @p277 @p276) :args ((or @t185 (not @t184) (not @t182)))) % 0.44/0.63 (step @p280 :rule cnf_and_neg :args (@t185)) % 0.44/0.63 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 0.44/0.63 (step @p282 :rule reordering :premises (@p281) :args ((or @t183 @t181 @t185))) % 0.44/0.63 (step @p283 :rule chain_m_resolution :premises (@p282 @p275 @p250) :args ((or @t189 @t185 @t179 @t178) @t215 (@list @t181 @t183))) % 0.44/0.63 (step @p284 :rule bool-double-not-elim :args (@t186)) % 0.44/0.63 (step @p285 :rule bool-double-not-elim :args (@t188)) % 0.44/0.63 (step @p286 :rule refl :args (@t190)) % 0.44/0.63 (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args ((or @t190 (not @t189) (not @t187)))) % 0.44/0.63 (step @p288 :rule cnf_and_neg :args (@t190)) % 0.44/0.63 (step @p289 :rule eq_resolve :premises (@p288 @p287)) % 0.44/0.63 (step @p290 :rule reordering :premises (@p289) :args ((or @t188 @t186 @t190))) % 0.44/0.63 (step @p291 :rule refl :args (@t187)) % 0.44/0.63 (step @p292 :rule nary_cong :premises (@p291 @p224 @p252) :args ((or @t187 @t184 @t213))) % 0.44/0.63 (assume-push @p372 @t186) % 0.44/0.63 (assume-push @p373 @t183) % 0.44/0.63 (assume-push @p374 @t212) % 0.44/0.63 (step @p296 :rule evaluate :args ((= false true))) % 0.44/0.63 (step @p297 :rule true_intro :premises (@p372)) % 0.44/0.63 (step @p298 :rule symm :premises (@p373)) % 0.44/0.63 (step @p299 :rule refl :args (@t177)) % 0.44/0.63 (step @p300 :rule cong :premises (@p299 @p298) :args (@t178)) % 0.44/0.63 (step @p301 :rule false_intro :premises (@p374)) % 0.44/0.63 (step @p302 :rule symm :premises (@p301)) % 0.44/0.63 (step @p303 :rule trans :premises (@p302 @p300 @p297)) % 0.44/0.63 (step @p304 false :rule eq_resolve :premises (@p303 @p296)) % 0.44/0.63 (step-pop @p375 :rule scope :premises (@p304)) % 0.44/0.63 (step-pop @p376 :rule scope :premises (@p375)) % 0.44/0.63 (step-pop @p377 :rule scope :premises (@p376)) % 0.44/0.63 (step @p305 :rule process_scope :premises (@p377) :args (false)) % 0.44/0.63 (step @p309 :rule not_and :premises (@p305)) % 0.44/0.63 (step @p310 :rule eq_resolve :premises (@p309 @p292)) % 0.44/0.63 (step @p311 :rule bool-double-not-elim :args (@t204)) % 0.44/0.63 (step @p312 :rule nary_cong :premises (@p214 @p311) :args ((or @t207 (not @t205)))) % 0.44/0.63 (step @p313 :rule cnf_or_neg :args (@t207 1)) % 0.44/0.63 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 0.44/0.63 (step @p315 :rule reordering :premises (@p314) :args ((or @t204 @t207))) % 0.44/0.63 (step @p316 :rule chain_m_resolution :premises (@p315 @p212) :args (@t204 @t208 @t209)) % 0.44/0.63 (step @p317 :rule instantiate :premises (@p316) :args ((@list @t177 @t180 @t176))) % 0.44/0.63 (step @p318 :rule cnf_or_pos :args (@t216)) % 0.44/0.63 (step @p319 :rule reordering :premises (@p318) :args ((or @t187 @t182 @t178 (not @t216)))) % 0.44/0.63 (step @p320 :rule chain_m_resolution :premises (@p282 @p319 @p317 @p310 @p290 @p283 @p223 @p222 @p221 @p220) :args (@t191 (@list true false true false true true true true true) (@list @t181 @t216 @t183 @t186 @t188 @t178 @t179 @t185 @t190))) % 0.44/0.63 (step @p321 :rule cnf_or_neg :args (@t207 2)) % 0.44/0.63 (step @p322 :rule chain_m_resolution :premises (@p321 @p212) :args ((not @t203) @t208 @t209)) % 0.44/0.63 (step @p323 :rule cnf_and_neg :args (@t203)) % 0.44/0.63 (step @p324 :rule chain_m_resolution :premises (@p323 @p322 @p320) :args ((not @t202) @t217 (@list @t203 @t191))) % 0.44/0.63 (step @p325 :rule cnf_or_neg :args (@t202 1)) % 0.44/0.63 (step @p326 :rule chain_m_resolution :premises (@p325 @p324) :args ((not @t198) @t208 @t218)) % 0.44/0.63 (step @p327 :rule cnf_or_neg :args (@t202 2)) % 0.44/0.63 (step @p328 :rule reordering :premises (@p327) :args ((or @t197 @t202))) % 0.44/0.63 (step @p329 :rule chain_m_resolution :premises (@p328 @p324) :args (@t197 @t208 @t218)) % 0.44/0.63 (step @p330 :rule bool-double-not-elim :args (@t195)) % 0.44/0.63 (step @p331 :rule bool-double-not-elim :args (@t194)) % 0.44/0.63 (step @p332 :rule refl :args (@t198)) % 0.44/0.63 (step @p333 :rule nary_cong :premises (@p332 @p331 @p330) :args ((or @t198 @t219 (not @t196)))) % 0.44/0.63 (step @p334 :rule cnf_and_neg :args (@t198)) % 0.44/0.63 (step @p335 :rule eq_resolve :premises (@p334 @p333)) % 0.44/0.63 (step @p336 :rule reordering :premises (@p335) :args ((or @t194 @t195 @t198))) % 0.44/0.63 (step @p337 :rule chain_m_resolution :premises (@p336 @p329 @p326) :args (@t195 @t215 (@list @t194 @t198))) % 0.44/0.63 (step @p338 :rule cnf_or_neg :args (@t202 0)) % 0.44/0.63 (step @p339 :rule chain_m_resolution :premises (@p338 @p324) :args ((not @t201) @t208 @t218)) % 0.44/0.63 (step @p340 :rule bool-double-not-elim :args (@t199)) % 0.44/0.63 (step @p341 :rule refl :args (@t201)) % 0.44/0.63 (step @p342 :rule nary_cong :premises (@p341 @p331 @p340) :args ((or @t201 @t219 (not @t200)))) % 0.44/0.63 (step @p343 :rule cnf_and_neg :args (@t201)) % 0.44/0.63 (step @p344 :rule eq_resolve :premises (@p343 @p342)) % 0.44/0.63 (step @p345 :rule reordering :premises (@p344) :args ((or @t194 @t199 @t201))) % 0.44/0.63 (step @p346 :rule chain_m_resolution :premises (@p345 @p329 @p339) :args (@t199 @t215 (@list @t194 @t201))) % 0.44/0.63 (step @p347 :rule cnf_or_pos :args (@t220)) % 0.44/0.63 (step @p348 :rule reordering :premises (@p347) :args ((or @t200 @t196 @t221))) % 0.44/0.63 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p337) :args (@t221 (@list false false) (@list @t199 @t195))) % 0.44/0.63 (assume-push @p378 @t175) % 0.44/0.63 (step @p351 :rule instantiate :premises (@p219) :args ((@list @t193 @t192))) % 0.44/0.63 (step-pop @p379 :rule scope :premises (@p351)) % 0.44/0.63 (step @p352 :rule process_scope :premises (@p379) :args (@t220)) % 0.44/0.63 (step @p354 :rule implies_elim :premises (@p352)) % 0.44/0.63 (step @p355 false :rule chain_m_resolution :premises (@p354 @p349 @p219) :args (false @t217 (@list @t220 @t175))) % 0.44/0.63 ) % 0.44/0.63 % SZS output end Proof % 0.44/0.64 % cvc5 exiting %------------------------------------------------------------------------------