%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU469^1 : 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 : n017.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 08:51:54 AM UTC 2026 % Result : Theorem 0.51s 0.71s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU469^1 : 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 : n017.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 17:56:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.51/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.51/0.71 % SZS status Theorem % 0.51/0.71 % SZS output start Proof % 0.51/0.71 ( % 0.51/0.71 (declare-sort $$unsorted 0) % 0.51/0.71 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.51/0.71 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.51/0.71 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.51/0.71 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.51/0.71 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.51/0.71 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.51/0.71 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.51/0.71 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.51/0.71 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.51/0.71 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.51/0.71 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.51/0.71 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.51/0.71 (define tptp.trans () (let ((_let_1 (@var "Z" $$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)))))))))) % 0.51/0.71 (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))))))))) % 0.51/0.71 (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)))))) % 0.51/0.71 (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)))))) % 0.51/0.71 (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))))) % 0.51/0.71 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.51/0.71 (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)))))))) % 0.51/0.71 (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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.51/0.71 (define tptp.ind () (let ((_let_1 (@var "X" $$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))))))))))) % 0.51/0.71 (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)))))))) % 0.51/0.71 (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))))))) % 0.51/0.71 (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)))))))) % 0.51/0.71 (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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.51/0.71 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.51/0.71 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.51/0.71 (define tptp.confl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.51/0.71 (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)))))))) % 0.51/0.71 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.51/0.71 (define @t2 () (_ tptp.trc @t1)) % 0.51/0.71 (define @t3 () (and (_ tptp.trans @t2) (_ tptp.refl @t2))) % 0.51/0.71 (define @t4 () (@list @t1)) % 0.51/0.71 (define @t5 () (forall @t4 @t3)) % 0.51/0.71 (define @t6 () (not @t5)) % 0.51/0.71 (define @t7 () (@var "Y" $$unsorted)) % 0.51/0.71 (define @t8 () (@var "X" $$unsorted)) % 0.51/0.71 (define @t9 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.51/0.71 (define @t10 () (_ (_ @t9 @t8) @t7)) % 0.51/0.71 (define @t11 () (_ @t1 @t8)) % 0.51/0.71 (define @t12 () (_ @t11 @t7)) % 0.51/0.71 (define @t13 () (@list @t8 @t7)) % 0.51/0.71 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.51/0.71 (define @t15 () (@list @t1 @t9)) % 0.51/0.71 (define @t16 () (lambda @t15 @t14)) % 0.51/0.71 (define @t17 () (_ @t1 @t7)) % 0.51/0.71 (define @t18 () (_ @t17 @t8)) % 0.51/0.71 (define @t19 () (@list @t1 @t8 @t7)) % 0.51/0.71 (define @t20 () (lambda @t19 @t18)) % 0.51/0.71 (define @t21 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.51/0.71 (define @t22 () (_ @t21 @t1)) % 0.51/0.71 (define @t23 () (@list @t21)) % 0.51/0.71 (define @t24 () (lambda @t23 (forall @t4 (= (_ @t21 @t22) @t22)))) % 0.51/0.71 (define @t25 () (_ tptp.subrel @t1)) % 0.51/0.71 (define @t26 () (lambda @t23 (forall @t4 (_ @t25 @t22)))) % 0.51/0.71 (define @t27 () (_ @t25 @t9)) % 0.51/0.71 (define @t28 () (lambda @t23 (forall @t15 (=> @t27 (_ (_ tptp.subrel @t22) (_ @t21 @t9)))))) % 0.51/0.71 (define @t29 () (_ @t11 @t8)) % 0.51/0.71 (define @t30 () (@list @t8)) % 0.51/0.71 (define @t31 () (forall @t30 @t29)) % 0.51/0.71 (define @t32 () (lambda @t4 @t31)) % 0.51/0.71 (define @t33 () (lambda @t4 (forall @t30 (not @t29)))) % 0.51/0.71 (define @t34 () (= @t8 @t7)) % 0.51/0.71 (define @t35 () (lambda @t19 (or @t34 @t12))) % 0.51/0.71 (define @t36 () (lambda @t4 (forall @t13 (=> @t12 @t18)))) % 0.51/0.71 (define @t37 () (lambda @t4 (forall @t13 (=> (and @t12 @t18) @t34)))) % 0.51/0.71 (define @t38 () (lambda @t4 (forall @t13 (=> @t12 (not @t18))))) % 0.51/0.71 (define @t39 () (lambda @t19 (or @t18 @t12))) % 0.51/0.71 (define @t40 () (@var "Z" $$unsorted)) % 0.51/0.71 (define @t41 () (_ @t11 @t40)) % 0.51/0.71 (define @t42 () (_ @t17 @t40)) % 0.51/0.71 (define @t43 () (and @t12 @t42)) % 0.51/0.71 (define @t44 () (@list @t8 @t7 @t40)) % 0.51/0.71 (define @t45 () (forall @t44 (=> @t43 @t41))) % 0.51/0.71 (define @t46 () (lambda @t4 @t45)) % 0.51/0.71 (define @t47 () (and (_ tptp.trans @t9) @t27)) % 0.51/0.71 (define @t48 () (=> @t47 @t10)) % 0.51/0.71 (define @t49 () (@list @t9)) % 0.51/0.71 (define @t50 () (forall @t49 @t48)) % 0.51/0.71 (define @t51 () (lambda @t19 @t50)) % 0.51/0.71 (define @t52 () (@var "__flatten_var_1" $$unsorted)) % 0.51/0.71 (define @t53 () (@var "__flatten_var_0" $$unsorted)) % 0.51/0.71 (define @t54 () (_ tptp.tc @t1)) % 0.51/0.71 (define @t55 () (_ tptp.rc @t54)) % 0.51/0.71 (define @t56 () (@list @t1 @t53 @t52)) % 0.51/0.71 (define @t57 () (lambda @t56 (_ (_ @t55 @t53) @t52))) % 0.51/0.71 (define @t58 () (lambda @t56 (_ (_ (_ tptp.sc @t55) @t53) @t52))) % 0.51/0.71 (define @t59 () (_ tptp.trans @t1)) % 0.51/0.71 (define @t60 () (lambda @t4 (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t59))) % 0.51/0.71 (define @t61 () (lambda @t4 (and (_ tptp.asymm @t1) @t59))) % 0.51/0.71 (define @t62 () (lambda @t4 (forall @t13 (or @t34 @t12 @t18)))) % 0.51/0.71 (define @t63 () (not @t12)) % 0.51/0.71 (define @t64 () (@var "A" (-> $$unsorted Bool))) % 0.51/0.71 (define @t65 () (@list @t7)) % 0.51/0.71 (define @t66 () (_ @t64 @t8)) % 0.51/0.71 (define @t67 () (lambda @t4 (forall (@list @t64) (=> (exists @t30 @t66) (exists @t30 (and @t66 (forall @t65 (=> (_ @t64 @t7) @t63)))))))) % 0.51/0.71 (define @t68 () (@var "P" (-> $$unsorted Bool))) % 0.51/0.71 (define @t69 () (_ @t68 @t8)) % 0.51/0.71 (define @t70 () (lambda @t4 (forall (@list @t68) (=> (forall @t30 (=> (forall @t65 (=> (_ (_ @t54 @t8) @t7) (_ @t68 @t7))) @t69)) (forall @t30 @t69))))) % 0.51/0.71 (define @t71 () (lambda (@list @t1 @t8) (not (exists @t65 @t12)))) % 0.51/0.71 (define @t72 () (_ @t2 @t7)) % 0.51/0.71 (define @t73 () (lambda @t19 (and (_ @t72 @t8) (_ (_ tptp.innf @t1) @t8)))) % 0.51/0.71 (define @t74 () (lambda @t4 (forall @t30 (exists @t65 (_ (_ (_ tptp.nfof @t1) @t7) @t8))))) % 0.51/0.71 (define @t75 () (_ @t2 @t8)) % 0.51/0.71 (define @t76 () (_ @t75 @t40)) % 0.51/0.71 (define @t77 () (lambda @t19 (exists (@list @t40) (and @t76 (_ @t72 @t40))))) % 0.51/0.71 (define @t78 () (_ tptp.join @t1)) % 0.51/0.71 (define @t79 () (_ (_ @t78 @t40) @t7)) % 0.51/0.71 (define @t80 () (lambda @t4 (forall @t44 (=> (and @t41 @t12) @t79)))) % 0.51/0.71 (define @t81 () (_ @t75 @t7)) % 0.51/0.71 (define @t82 () (lambda @t4 (forall @t44 (=> (and @t41 @t81) @t79)))) % 0.51/0.71 (define @t83 () (lambda @t4 (forall @t44 (=> (and @t76 @t81) @t79)))) % 0.51/0.71 (define @t84 () (lambda @t4 (forall @t13 (=> (_ (_ (_ tptp.trsc @t1) @t8) @t7) (_ (_ @t78 @t8) @t7))))) % 0.51/0.71 (define @t85 () (@var "BOUND_VARIABLE_8900" (-> $$unsorted $$unsorted Bool))) % 0.51/0.71 (define @t86 () (_ @t85 @t8 @t40)) % 0.51/0.71 (define @t87 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.51/0.71 (define @t88 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.51/0.71 (define @t89 () (not (_ @t1 @t88 @t87))) % 0.51/0.71 (define @t90 () (@list @t88 @t87)) % 0.51/0.71 (define @t91 () (not (forall @t90 (or @t89 (_ @t85 @t88 @t87))))) % 0.51/0.71 (define @t92 () (@var "BOUND_VARIABLE_8859" $$unsorted)) % 0.51/0.71 (define @t93 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.51/0.71 (define @t94 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 0.51/0.71 (define @t95 () (@list @t93 @t94 @t92)) % 0.51/0.71 (define @t96 () (not (forall @t95 (or (not (_ @t85 @t93 @t94)) (not (_ @t85 @t94 @t92)) (_ @t85 @t93 @t92))))) % 0.51/0.71 (define @t97 () (= @t8 @t40)) % 0.51/0.71 (define @t98 () (_ @t9 @t7 @t40)) % 0.51/0.71 (define @t99 () (_ @t9 @t88 @t87)) % 0.51/0.71 (define @t100 () (not (forall @t90 (or @t89 @t99)))) % 0.51/0.71 (define @t101 () (@var "BOUND_VARIABLE_8841" $$unsorted)) % 0.51/0.71 (define @t102 () (not (_ @t9 @t93 @t94))) % 0.51/0.71 (define @t103 () (@list @t93 @t94 @t101)) % 0.51/0.71 (define @t104 () (not (forall @t103 (or @t102 (not (_ @t9 @t94 @t101)) (_ @t9 @t93 @t101))))) % 0.51/0.71 (define @t105 () (forall @t49 (or @t104 @t100 @t98))) % 0.51/0.71 (define @t106 () (= @t7 @t40)) % 0.51/0.71 (define @t107 () (and (not @t106) (not @t105))) % 0.51/0.71 (define @t108 () (_ @t9 @t8 @t7)) % 0.51/0.71 (define @t109 () (@var "BOUND_VARIABLE_8879" $$unsorted)) % 0.51/0.71 (define @t110 () (@list @t93 @t94 @t109)) % 0.51/0.71 (define @t111 () (not (forall @t110 (or @t102 (not (_ @t9 @t94 @t109)) (_ @t9 @t93 @t109))))) % 0.51/0.71 (define @t112 () (forall @t49 (or @t111 @t100 @t108))) % 0.51/0.71 (define @t113 () (and (not @t34) (not @t112))) % 0.51/0.71 (define @t114 () (or @t113 @t107 @t97 @t96 @t91 @t86)) % 0.51/0.71 (define @t115 () (forall (@list @t1 @t8 @t7 @t40 @t85) @t114)) % 0.51/0.71 (define @t116 () (@list @t8 @t7 @t40 @t85)) % 0.51/0.71 (define @t117 () (forall @t116 @t114)) % 0.51/0.71 (define @t118 () (forall (@list @t93 @t94 @t40) (or @t102 (not (_ @t9 @t94 @t40)) (_ @t9 @t93 @t40)))) % 0.51/0.71 (define @t119 () (not @t118)) % 0.51/0.71 (define @t120 () (forall @t49 (or @t119 @t100 (_ @t9 @t8 @t8)))) % 0.51/0.71 (define @t121 () (or (= @t8 @t8) @t120)) % 0.51/0.71 (define @t122 () (_ @t9 @t53 @t52)) % 0.51/0.71 (define @t123 () (or @t119 @t100 @t122)) % 0.51/0.71 (define @t124 () (forall @t49 @t123)) % 0.51/0.71 (define @t125 () (= @t53 @t52)) % 0.51/0.71 (define @t126 () (or @t125 @t124)) % 0.51/0.71 (define @t127 () (@list @t53 @t52)) % 0.51/0.71 (define @t128 () (lambda @t127 @t126)) % 0.51/0.71 (define @t129 () (_ @t128 @t8 @t8)) % 0.51/0.71 (define @t130 () (forall @t30 @t129)) % 0.51/0.71 (define @t131 () (_ @t1 @t8 @t8)) % 0.51/0.71 (define @t132 () (lambda @t4 (forall @t30 @t131))) % 0.51/0.71 (define @t133 () (_ (lambda @t56 @t126) @t1)) % 0.51/0.71 (define @t134 () (or @t96 @t91 @t86)) % 0.51/0.71 (define @t135 () (or @t113 @t107 @t97 @t134)) % 0.51/0.71 (define @t136 () (forall @t116 @t135)) % 0.51/0.71 (define @t137 () (@list @t85)) % 0.51/0.71 (define @t138 () (forall @t137 @t135)) % 0.51/0.71 (define @t139 () (forall @t137 @t134)) % 0.51/0.71 (define @t140 () (or @t113 @t107 @t97 @t139)) % 0.51/0.71 (define @t141 () (_ @t9 @t8 @t40)) % 0.51/0.71 (define @t142 () (not (forall @t95 (or @t102 (not (_ @t9 @t94 @t92)) (_ @t9 @t93 @t92))))) % 0.51/0.71 (define @t143 () (forall @t49 (or @t142 @t100 @t141))) % 0.51/0.71 (define @t144 () (or @t106 @t105)) % 0.51/0.71 (define @t145 () (not @t144)) % 0.51/0.71 (define @t146 () (or (not (or @t34 @t112)) @t145 @t97 @t143)) % 0.51/0.71 (define @t147 () (@list @t40)) % 0.51/0.71 (define @t148 () (or @t119 @t100 @t108)) % 0.51/0.71 (define @t149 () (forall @t49 @t148)) % 0.51/0.71 (define @t150 () (or @t34 @t149)) % 0.51/0.71 (define @t151 () (not @t150)) % 0.51/0.71 (define @t152 () (or @t151 @t145 @t97 @t143)) % 0.51/0.71 (define @t153 () (or @t97 @t143)) % 0.51/0.71 (define @t154 () (not (_ @t128 @t7 @t40))) % 0.51/0.71 (define @t155 () (_ @t128 @t8 @t7)) % 0.51/0.71 (define @t156 () (not @t155)) % 0.51/0.71 (define @t157 () (or @t156 @t154 (_ @t128 @t8 @t40))) % 0.51/0.71 (define @t158 () (forall @t44 @t157)) % 0.51/0.71 (define @t159 () (_ @t1 @t8 @t40)) % 0.51/0.71 (define @t160 () (_ @t1 @t7 @t40)) % 0.51/0.71 (define @t161 () (_ @t1 @t8 @t7)) % 0.51/0.71 (define @t162 () (not @t161)) % 0.51/0.71 (define @t163 () (lambda @t4 (forall @t44 (or @t162 (not @t160) @t159)))) % 0.51/0.71 (define @t164 () (and (_ @t163 @t133) (_ @t132 @t133))) % 0.51/0.71 (define @t165 () (forall @t4 @t164)) % 0.51/0.71 (define @t166 () (or (= @t52 @t53) @t124)) % 0.51/0.71 (define @t167 () (forall @t49 (or @t119 @t100 (_ @t9 @t53 @t7)))) % 0.51/0.71 (define @t168 () (or (= @t53 @t7) @t167)) % 0.51/0.71 (define @t169 () (lambda @t65 @t168)) % 0.51/0.71 (define @t170 () (lambda @t65 @t149)) % 0.51/0.71 (define @t171 () (lambda @t13 @t149)) % 0.51/0.71 (define @t172 () (_ @t171 @t8)) % 0.51/0.71 (define @t173 () (or @t34 (_ @t172 @t7))) % 0.51/0.71 (define @t174 () (lambda @t13 @t173)) % 0.51/0.71 (define @t175 () (lambda @t19 @t149)) % 0.51/0.71 (define @t176 () (forall @t13 (or @t162 @t108))) % 0.51/0.71 (define @t177 () (not @t176)) % 0.51/0.71 (define @t178 () (forall @t44 (or (not @t108) (not @t98) @t141))) % 0.51/0.71 (define @t179 () (not @t178)) % 0.51/0.71 (define @t180 () (or @t179 @t177 @t10)) % 0.51/0.71 (define @t181 () (and @t178 @t176)) % 0.51/0.71 (define @t182 () (lambda @t49 @t176)) % 0.51/0.71 (define @t183 () (_ (lambda @t15 @t176) @t1)) % 0.51/0.71 (define @t184 () (_ @t163 @t9)) % 0.51/0.71 (define @t185 () (and @t184 (_ @t183 @t9))) % 0.51/0.71 (define @t186 () (=> @t185 @t10)) % 0.51/0.71 (define @t187 () (or @t63 @t10)) % 0.51/0.71 (define @t188 () (not @t42)) % 0.51/0.71 (define @t189 () (or @t63 @t188 @t41)) % 0.51/0.71 (define @t190 () (@quantifiers_skolemize @t115 4)) % 0.51/0.71 (define @t191 () (not (_ @t190 @t93 @t94))) % 0.51/0.71 (define @t192 () (forall @t95 (or @t191 (not (_ @t190 @t94 @t92)) (_ @t190 @t93 @t92)))) % 0.51/0.71 (define @t193 () (@quantifiers_skolemize @t115 3)) % 0.51/0.71 (define @t194 () (@quantifiers_skolemize @t115 1)) % 0.51/0.71 (define @t195 () (_ @t190 @t194 @t193)) % 0.51/0.71 (define @t196 () (not (_ (@quantifiers_skolemize @t115 0) @t88 @t87))) % 0.51/0.71 (define @t197 () (forall @t90 (or @t196 (_ @t190 @t88 @t87)))) % 0.51/0.71 (define @t198 () (not @t197)) % 0.51/0.71 (define @t199 () (not @t192)) % 0.51/0.71 (define @t200 () (= @t194 @t193)) % 0.51/0.71 (define @t201 () (@quantifiers_skolemize @t115 2)) % 0.51/0.71 (define @t202 () (not (forall @t90 (or @t196 @t99)))) % 0.51/0.71 (define @t203 () (forall @t49 (or @t104 @t202 (_ @t9 @t201 @t193)))) % 0.51/0.71 (define @t204 () (not @t203)) % 0.51/0.71 (define @t205 () (= @t201 @t193)) % 0.51/0.71 (define @t206 () (not @t205)) % 0.51/0.71 (define @t207 () (and @t206 @t204)) % 0.51/0.71 (define @t208 () (forall @t49 (or @t111 @t202 (_ @t9 @t194 @t201)))) % 0.51/0.71 (define @t209 () (not @t208)) % 0.51/0.71 (define @t210 () (= @t194 @t201)) % 0.51/0.71 (define @t211 () (not @t210)) % 0.51/0.71 (define @t212 () (and @t211 @t209)) % 0.51/0.71 (define @t213 () (or @t212 @t207 @t200 @t199 @t198 @t195)) % 0.51/0.71 (define @t214 () (@list true)) % 0.51/0.71 (define @t215 () (@list @t213)) % 0.51/0.71 (define @t216 () (not @t200)) % 0.51/0.71 (define @t217 () (and @t210 @t216)) % 0.51/0.71 (define @t218 () (not @t195)) % 0.51/0.71 (define @t219 () (_ @t190 @t201 @t193)) % 0.51/0.71 (define @t220 () (not @t219)) % 0.51/0.71 (define @t221 () (not @t218)) % 0.51/0.71 (define @t222 () (and @t210 @t218)) % 0.51/0.71 (define @t223 () (@var "BOUND_VARIABLE_10239" $$unsorted)) % 0.51/0.71 (define @t224 () (@var "BOUND_VARIABLE_10237" $$unsorted)) % 0.51/0.71 (define @t225 () (@var "BOUND_VARIABLE_10238" $$unsorted)) % 0.51/0.71 (define @t226 () (@list @t224 @t225 @t223)) % 0.51/0.71 (define @t227 () (@list @t93 @t94 @t92)) % 0.51/0.71 (define @t228 () (forall @t103 (or @t191 (not (_ @t190 @t94 @t101)) (_ @t190 @t93 @t101)))) % 0.51/0.71 (define @t229 () (@list false)) % 0.51/0.71 (define @t230 () (@list @t192)) % 0.51/0.71 (define @t231 () (not @t228)) % 0.51/0.71 (define @t232 () (or @t231 @t198 @t219)) % 0.51/0.71 (define @t233 () (@list @t190)) % 0.51/0.71 (define @t234 () (@list true true)) % 0.51/0.71 (define @t235 () (_ @t190 @t194 @t201)) % 0.51/0.71 (define @t236 () (forall @t110 (or @t191 (not (_ @t190 @t94 @t109)) (_ @t190 @t93 @t109)))) % 0.51/0.71 (define @t237 () (not @t236)) % 0.51/0.71 (define @t238 () (or @t237 @t198 @t235)) % 0.51/0.71 (define @t239 () (@var "BOUND_VARIABLE_12653" $$unsorted)) % 0.51/0.71 (define @t240 () (@var "BOUND_VARIABLE_12651" $$unsorted)) % 0.51/0.71 (define @t241 () (@var "BOUND_VARIABLE_12652" $$unsorted)) % 0.51/0.71 (define @t242 () (@list @t240 @t241 @t239)) % 0.51/0.71 (define @t243 () (@list false false false)) % 0.51/0.71 (define @t244 () (not @t235)) % 0.51/0.71 (define @t245 () (and @t235 @t205 @t218)) % 0.51/0.71 (define @t246 () (@list true false)) % 0.51/0.71 (define @t247 () (or @t244 @t220 @t195)) % 0.51/0.71 (define @t248 () (not @t247)) % 0.51/0.71 (assume @p1 @t6) % 0.51/0.71 (assume @p2 true) % 0.51/0.71 (step @p3 (= tptp.subrel @t16) :rule refl :args (@t16)) % 0.51/0.71 (step @p4 (= tptp.inv @t20) :rule refl :args (@t20)) % 0.51/0.71 (step @p5 (= tptp.idem @t24) :rule refl :args (@t24)) % 0.51/0.71 (step @p6 (= tptp.infl @t26) :rule refl :args (@t26)) % 0.51/0.71 (step @p7 (= tptp.mono @t28) :rule refl :args (@t28)) % 0.51/0.71 (step @p8 (= tptp.refl @t32) :rule refl :args (@t32)) % 0.51/0.71 (step @p9 (= tptp.irrefl @t33) :rule refl :args (@t33)) % 0.51/0.71 (step @p10 (= tptp.rc @t35) :rule refl :args (@t35)) % 0.51/0.71 (step @p11 (= tptp.symm @t36) :rule refl :args (@t36)) % 0.51/0.71 (step @p12 (= tptp.antisymm @t37) :rule refl :args (@t37)) % 0.51/0.71 (step @p13 (= tptp.asymm @t38) :rule refl :args (@t38)) % 0.51/0.71 (step @p14 (= tptp.sc @t39) :rule refl :args (@t39)) % 0.51/0.71 (step @p15 (= tptp.trans @t46) :rule refl :args (@t46)) % 0.51/0.71 (step @p16 (= tptp.tc @t51) :rule refl :args (@t51)) % 0.51/0.71 (step @p17 (= tptp.trc @t57) :rule refl :args (@t57)) % 0.51/0.71 (step @p18 (= tptp.trsc @t58) :rule refl :args (@t58)) % 0.51/0.71 (step @p19 (= tptp.po @t60) :rule refl :args (@t60)) % 0.51/0.71 (step @p20 (= tptp.so @t61) :rule refl :args (@t61)) % 0.51/0.71 (step @p21 (= tptp.total @t62) :rule refl :args (@t62)) % 0.51/0.71 (step @p22 (= tptp.term @t67) :rule refl :args (@t67)) % 0.51/0.71 (step @p23 (= tptp.ind @t70) :rule refl :args (@t70)) % 0.51/0.71 (step @p24 (= tptp.innf @t71) :rule refl :args (@t71)) % 0.51/0.71 (step @p25 (= tptp.nfof @t73) :rule refl :args (@t73)) % 0.51/0.71 (step @p26 (= tptp.norm @t74) :rule refl :args (@t74)) % 0.51/0.71 (step @p27 (= tptp.join @t77) :rule refl :args (@t77)) % 0.51/0.71 (step @p28 (= tptp.lconfl @t80) :rule refl :args (@t80)) % 0.51/0.71 (step @p29 (= tptp.sconfl @t82) :rule refl :args (@t82)) % 0.51/0.71 (step @p30 (= tptp.confl @t83) :rule refl :args (@t83)) % 0.51/0.71 (step @p31 (= tptp.cr @t84) :rule refl :args (@t84)) % 0.51/0.71 (step @p32 :rule quant-merge-prenex :args ((= (forall @t4 @t117) @t115))) % 0.51/0.71 (step @p33 :rule aci_norm :args ((= (and @t117 true) @t117))) % 0.51/0.71 (step @p34 :rule quant-unused-vars :args ((= (forall @t30 true) true))) % 0.51/0.71 (step @p35 :rule absorb :args ((= (or true @t120) true))) % 0.51/0.71 (step @p36 :rule refl :args (@t120)) % 0.51/0.71 (step @p37 :rule eq-refl :args (@t8)) % 0.51/0.71 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t121)) % 0.51/0.71 (step @p39 :rule trans :premises (@p38 @p35)) % 0.51/0.71 (step @p40 :rule beta-reduce :args ((= @t129 @t121))) % 0.51/0.71 (step @p41 :rule trans :premises (@p40 @p39)) % 0.51/0.71 (step @p42 :rule cong :premises (@p41) :args (@t130)) % 0.51/0.71 (step @p43 :rule trans :premises (@p42 @p34)) % 0.51/0.71 (step @p44 :rule beta-reduce :args ((= (_ @t132 @t128) @t130))) % 0.51/0.71 (step @p45 :rule trans :premises (@p44 @p43)) % 0.51/0.71 (step @p46 :rule beta-reduce :args ((= @t133 @t128))) % 0.51/0.71 (step @p47 :rule refl :args (@t132)) % 0.51/0.71 (step @p48 :rule ho_cong :premises (@p47 @p46)) % 0.51/0.71 (step @p49 :rule trans :premises (@p48 @p45)) % 0.51/0.71 (step @p50 :rule aci_norm :args ((= @t135 @t114))) % 0.51/0.71 (step @p51 :rule cong :premises (@p50) :args (@t136)) % 0.51/0.71 (step @p52 :rule quant-merge-prenex :args ((= (forall @t44 @t138) @t136))) % 0.51/0.71 (step @p53 :rule alpha_equiv :args (@t139 (@list @t85) (@list @t9))) % 0.51/0.71 (step @p54 :rule refl :args (@t97)) % 0.51/0.71 (step @p55 :rule refl :args (@t107)) % 0.51/0.71 (step @p56 :rule refl :args (@t113)) % 0.51/0.71 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53) :args (@t140)) % 0.51/0.71 (step @p58 :rule quant-miniscope-or :args ((= @t138 @t140))) % 0.51/0.71 (step @p59 :rule trans :premises (@p58 @p57)) % 0.51/0.71 (step @p60 :rule symm :premises (@p59)) % 0.51/0.71 (step @p61 :rule cong :premises (@p60) :args ((forall @t44 (or @t113 @t107 @t97 @t143)))) % 0.51/0.71 (step @p62 :rule trans :premises (@p61 @p52)) % 0.51/0.71 (step @p63 :rule trans :premises (@p62 @p51)) % 0.51/0.71 (step @p64 :rule refl :args (@t143)) % 0.51/0.71 (step @p65 :rule bool-or-de-morgan :args (@t106 @t105 false)) % 0.51/0.71 (step @p66 :rule bool-or-de-morgan :args (@t34 @t112 false)) % 0.51/0.71 (step @p67 :rule nary_cong :premises (@p66 @p65 @p54 @p64) :args (@t146)) % 0.51/0.71 (step @p68 :rule cong :premises (@p67) :args ((forall @t44 @t146))) % 0.51/0.71 (step @p69 :rule trans :premises (@p68 @p63)) % 0.51/0.71 (step @p70 :rule refl :args (@t145)) % 0.51/0.71 (step @p71 :rule refl :args (@t108)) % 0.51/0.71 (step @p72 :rule refl :args (@t100)) % 0.51/0.71 (step @p73 :rule alpha_equiv :args (@t118 @t147 (@list @t109))) % 0.51/0.71 (step @p74 :rule cong :premises (@p73) :args (@t119)) % 0.51/0.71 (step @p75 :rule nary_cong :premises (@p74 @p72 @p71) :args (@t148)) % 0.51/0.71 (step @p76 :rule cong :premises (@p75) :args (@t149)) % 0.51/0.71 (step @p77 :rule refl :args (@t34)) % 0.51/0.71 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t150)) % 0.51/0.71 (step @p79 :rule cong :premises (@p78) :args (@t151)) % 0.51/0.71 (step @p80 :rule nary_cong :premises (@p79 @p70 @p54 @p64) :args (@t152)) % 0.51/0.71 (step @p81 :rule cong :premises (@p80) :args ((forall @t44 @t152))) % 0.51/0.71 (step @p82 :rule trans :premises (@p81 @p69)) % 0.51/0.71 (step @p83 :rule aci_norm :args ((= (or @t151 @t145 @t153) @t152))) % 0.51/0.71 (step @p84 :rule beta-reduce :args ((= (_ (lambda @t127 (or @t125 (forall @t49 (or @t142 @t100 @t122)))) @t8 @t40) @t153))) % 0.51/0.71 (step @p85 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:rule bool-double-not-elim :args (@t208)) % 0.51/0.71 (step @p349 :rule bool-double-not-elim :args (@t210)) % 0.51/0.71 (step @p350 :rule refl :args (@t212)) % 0.51/0.71 (step @p351 :rule nary_cong :premises (@p350 @p349 @p348) :args ((or @t212 (not @t211) (not @t209)))) % 0.51/0.71 (step @p352 :rule cnf_and_neg :args (@t212)) % 0.51/0.71 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 0.51/0.71 (step @p354 :rule reordering :premises (@p353) :args ((or @t210 @t208 @t212))) % 0.51/0.71 (step @p355 :rule chain_m_resolution :premises (@p354 @p347 @p264) :args (@t208 @t234 (@list @t210 @t212))) % 0.51/0.71 (assume-push @p430 @t208) % 0.51/0.71 (step @p357 :rule instantiate :premises (@p430) :args (@t233)) % 0.51/0.71 (step-pop @p431 :rule scope :premises (@p357)) % 0.51/0.71 (step @p358 :rule process_scope :premises (@p431) :args (@t238)) % 0.51/0.71 (step @p360 :rule implies_elim :premises (@p358)) % 0.51/0.71 (step @p361 :rule chain_m_resolution :premises (@p360 @p355) :args (@t238 @t229 (@list @t208))) % 0.51/0.71 (step @p362 :rule alpha_equiv :args ((forall (@list @t240 @t241 @t239) (or (not (_ @t190 @t240 @t241)) (not (_ @t190 @t241 @t239)) (_ @t190 @t240 @t239))) @t242 (@list @t93 @t94 @t109))) % 0.51/0.71 (step @p363 :rule alpha_equiv :args (@t192 @t227 @t242)) % 0.51/0.71 (step @p364 :rule trans :premises (@p363 @p362)) % 0.51/0.71 (step @p365 :rule equiv_elim1 :premises (@p364)) % 0.51/0.71 (step @p366 :rule chain_m_resolution :premises (@p365 @p262) :args (@t236 @t229 @t230)) % 0.51/0.71 (step @p367 :rule cnf_or_pos :args (@t238)) % 0.51/0.71 (step @p368 :rule reordering :premises (@p367) :args ((or @t198 @t237 @t235 (not @t238)))) % 0.51/0.71 (step @p369 :rule chain_m_resolution :premises (@p368 @p334 @p366 @p361) :args (@t235 @t243 (@list @t197 @t236 @t238))) % 0.51/0.71 (step @p370 :rule refl :args (@t244)) % 0.51/0.71 (step @p371 :rule nary_cong :premises (@p267 @p297 @p370) :args ((or @t206 @t221 @t244))) % 0.51/0.71 (assume-push @p432 @t235) % 0.51/0.71 (assume-push @p433 @t205) % 0.51/0.71 (assume-push @p434 @t218) % 0.51/0.71 (step @p375 :rule evaluate :args ((= false true))) % 0.51/0.71 (step @p376 :rule true_intro :premises (@p432)) % 0.51/0.71 (step @p377 :rule symm :premises (@p433)) % 0.51/0.71 (step @p378 :rule refl :args (@t194)) % 0.51/0.71 (step @p379 :rule cong :premises (@p378 @p377) :args (@t195)) % 0.51/0.71 (step @p303 :rule false_intro :premises (@p295)) % 0.51/0.71 (step @p380 :rule symm :premises (@p303)) % 0.51/0.71 (step @p381 :rule trans :premises (@p380 @p379 @p376)) % 0.51/0.71 (step @p382 false :rule eq_resolve :premises (@p381 @p375)) % 0.51/0.71 (step-pop @p435 :rule scope :premises (@p382)) % 0.51/0.71 (step-pop @p436 :rule scope :premises (@p435)) % 0.51/0.71 (step-pop @p437 :rule scope :premises (@p436)) % 0.51/0.71 (step @p383 :rule process_scope :premises (@p437) :args (false)) % 0.51/0.71 (assume-push @p438 @t205) % 0.51/0.71 (assume-push @p439 @t218) % 0.51/0.71 (assume-push @p440 @t235) % 0.51/0.71 (step @p390 :rule and_intro :premises (@p440 @p438 @p295)) % 0.51/0.71 (step-pop @p441 :rule scope :premises (@p390)) % 0.51/0.71 (step-pop @p442 :rule scope :premises (@p441)) % 0.51/0.71 (step-pop @p443 :rule scope :premises (@p442)) % 0.51/0.71 (step @p391 :rule process_scope :premises (@p443) :args (@t245)) % 0.51/0.71 (step @p395 :rule implies_elim :premises (@p391)) % 0.51/0.71 (step @p396 :rule resolution :premises (@p395 @p383) :args (true @t245)) % 0.51/0.71 (step @p397 :rule not_and :premises (@p396)) % 0.51/0.71 (step @p398 :rule eq_resolve :premises (@p397 @p371)) % 0.51/0.71 (step @p399 :rule chain_m_resolution :premises (@p398 @p295 @p369) :args (@t206 @t246 (@list @t195 @t235))) % 0.51/0.71 (step @p400 :rule chain_m_resolution :premises (@p328 @p399 @p321) :args (@t203 @t234 (@list @t205 @t207))) % 0.51/0.71 (step @p401 :rule chain_m_resolution :premises (@p346 @p400) :args (@t232 @t229 (@list @t203))) % 0.51/0.71 (step @p402 :rule chain_m_resolution :premises (@p341 @p334 @p339 @p401) :args (@t219 @t243 (@list @t197 @t228 @t232))) % 0.51/0.71 (step @p403 :rule cnf_or_pos :args (@t247)) % 0.51/0.71 (step @p404 :rule reordering :premises (@p403) :args ((or @t195 @t220 @t244 @t248))) % 0.51/0.71 (step @p405 :rule chain_m_resolution :premises (@p404 @p295 @p402 @p369) :args (@t248 (@list true false false) (@list @t195 @t219 @t235))) % 0.51/0.71 (assume-push @p444 @t192) % 0.51/0.71 (step @p407 :rule instantiate :premises (@p262) :args ((@list @t194 @t201 @t193))) % 0.51/0.71 (step-pop @p445 :rule scope :premises (@p407)) % 0.51/0.71 (step @p408 :rule process_scope :premises (@p445) :args (@t247)) % 0.51/0.71 (step @p410 :rule implies_elim :premises (@p408)) % 0.51/0.71 (step @p411 false :rule chain_m_resolution :premises (@p410 @p405 @p262) :args (false @t246 (@list @t247 @t192))) % 0.51/0.71 ) % 0.51/0.71 % SZS output end Proof % 0.51/0.71 % cvc5 exiting %------------------------------------------------------------------------------