%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU463^1 : 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 : n024.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 08:51:53 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : SEU463^1 : TPTP v9.2.1. Released v3.6.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.26 % Computer : n024.cluster.edu % 0.09/0.26 % Model : x86_64 x86_64 % 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.26 % Memory : 8042.1875MB % 0.09/0.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.26 % CPULimit : 300 % 0.09/0.26 % WCLimit : 300 % 0.09/0.26 % DateTime : Tue Jun 2 12:36:15 EDT 2026 % 0.09/0.26 % CPUTime : % 0.16/0.34 %----Proving TH0 % 0.44/0.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 0.44/0.68 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 0.44/0.68 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 0.44/0.68 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 0.44/0.68 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 0.44/0.68 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 0.44/0.68 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 0.44/0.68 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.68 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.44/0.68 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 0.44/0.68 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 0.44/0.68 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.44/0.68 (define tptp.trans () (let ((_let_1 (@var "Z" $$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)))))))))) % 0.44/0.68 (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))))))))) % 0.44/0.68 (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)))))) % 0.44/0.68 (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)))))) % 0.44/0.68 (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))))) % 0.44/0.68 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 0.44/0.68 (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)))))))) % 0.44/0.68 (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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 0.44/0.68 (define tptp.ind () (let ((_let_1 (@var "X" $$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))))))))))) % 0.44/0.68 (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)))))))) % 0.44/0.68 (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))))))) % 0.44/0.68 (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)))))))) % 0.44/0.68 (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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 0.44/0.68 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.44/0.68 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 0.44/0.68 (define tptp.confl () (let ((_let_1 (@var "Y" $$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)))))))))) % 0.44/0.68 (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)))))))) % 0.44/0.68 (define @t1 () (@var "Z" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "X" $$unsorted)) % 0.44/0.68 (define @t3 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t4 () (_ @t3 @t2)) % 0.44/0.68 (define @t5 () (_ @t4 @t1)) % 0.44/0.68 (define @t6 () (@var "Y" $$unsorted)) % 0.44/0.68 (define @t7 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t8 () (_ tptp.tc @t7)) % 0.44/0.68 (define @t9 () (_ (_ @t8 @t2) @t6)) % 0.44/0.68 (define @t10 () (_ tptp.subrel @t7)) % 0.44/0.68 (define @t11 () (_ @t10 @t3)) % 0.44/0.68 (define @t12 () (_ tptp.trans @t3)) % 0.44/0.68 (define @t13 () (and @t12 @t11 @t9 (_ (_ @t8 @t6) @t1))) % 0.44/0.68 (define @t14 () (=> @t13 @t5)) % 0.44/0.68 (define @t15 () (@list @t7 @t2 @t6 @t1 @t3)) % 0.44/0.68 (define @t16 () (forall @t15 @t14)) % 0.44/0.68 (define @t17 () (not @t16)) % 0.44/0.68 (define @t18 () (_ @t4 @t6)) % 0.44/0.68 (define @t19 () (_ @t7 @t2)) % 0.44/0.68 (define @t20 () (_ @t19 @t6)) % 0.44/0.68 (define @t21 () (@list @t2 @t6)) % 0.44/0.68 (define @t22 () (forall @t21 (=> @t20 @t18))) % 0.44/0.68 (define @t23 () (@list @t7 @t3)) % 0.44/0.68 (define @t24 () (lambda @t23 @t22)) % 0.44/0.68 (define @t25 () (_ @t7 @t6)) % 0.44/0.68 (define @t26 () (_ @t25 @t2)) % 0.44/0.68 (define @t27 () (@list @t7 @t2 @t6)) % 0.44/0.68 (define @t28 () (lambda @t27 @t26)) % 0.44/0.68 (define @t29 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t30 () (_ @t29 @t7)) % 0.44/0.68 (define @t31 () (@list @t7)) % 0.44/0.68 (define @t32 () (@list @t29)) % 0.44/0.68 (define @t33 () (lambda @t32 (forall @t31 (= (_ @t29 @t30) @t30)))) % 0.44/0.68 (define @t34 () (lambda @t32 (forall @t31 (_ @t10 @t30)))) % 0.44/0.68 (define @t35 () (lambda @t32 (forall @t23 (=> @t11 (_ (_ tptp.subrel @t30) (_ @t29 @t3)))))) % 0.44/0.68 (define @t36 () (_ @t19 @t2)) % 0.44/0.68 (define @t37 () (@list @t2)) % 0.44/0.68 (define @t38 () (lambda @t31 (forall @t37 @t36))) % 0.44/0.68 (define @t39 () (lambda @t31 (forall @t37 (not @t36)))) % 0.44/0.68 (define @t40 () (= @t2 @t6)) % 0.44/0.68 (define @t41 () (lambda @t27 (or @t40 @t20))) % 0.44/0.68 (define @t42 () (lambda @t31 (forall @t21 (=> @t20 @t26)))) % 0.44/0.68 (define @t43 () (lambda @t31 (forall @t21 (=> (and @t20 @t26) @t40)))) % 0.44/0.68 (define @t44 () (lambda @t31 (forall @t21 (=> @t20 (not @t26))))) % 0.44/0.68 (define @t45 () (lambda @t27 (or @t26 @t20))) % 0.44/0.68 (define @t46 () (_ @t19 @t1)) % 0.44/0.68 (define @t47 () (_ @t25 @t1)) % 0.44/0.68 (define @t48 () (and @t20 @t47)) % 0.44/0.68 (define @t49 () (@list @t2 @t6 @t1)) % 0.44/0.68 (define @t50 () (forall @t49 (=> @t48 @t46))) % 0.44/0.68 (define @t51 () (lambda @t31 @t50)) % 0.44/0.68 (define @t52 () (and @t12 @t11)) % 0.44/0.68 (define @t53 () (=> @t52 @t18)) % 0.44/0.68 (define @t54 () (@list @t3)) % 0.44/0.68 (define @t55 () (forall @t54 @t53)) % 0.44/0.68 (define @t56 () (lambda @t27 @t55)) % 0.44/0.68 (define @t57 () (@var "__flatten_var_1" $$unsorted)) % 0.44/0.68 (define @t58 () (@var "__flatten_var_0" $$unsorted)) % 0.44/0.68 (define @t59 () (_ tptp.rc @t8)) % 0.44/0.68 (define @t60 () (@list @t7 @t58 @t57)) % 0.44/0.68 (define @t61 () (lambda @t60 (_ (_ @t59 @t58) @t57))) % 0.44/0.68 (define @t62 () (lambda @t60 (_ (_ (_ tptp.sc @t59) @t58) @t57))) % 0.44/0.68 (define @t63 () (_ tptp.trans @t7)) % 0.44/0.68 (define @t64 () (lambda @t31 (and (_ tptp.refl @t7) (_ tptp.antisymm @t7) @t63))) % 0.44/0.68 (define @t65 () (lambda @t31 (and (_ tptp.asymm @t7) @t63))) % 0.44/0.68 (define @t66 () (lambda @t31 (forall @t21 (or @t40 @t20 @t26)))) % 0.44/0.68 (define @t67 () (not @t20)) % 0.44/0.68 (define @t68 () (@var "A" (-> $$unsorted Bool))) % 0.44/0.68 (define @t69 () (@list @t6)) % 0.44/0.68 (define @t70 () (_ @t68 @t2)) % 0.44/0.68 (define @t71 () (lambda @t31 (forall (@list @t68) (=> (exists @t37 @t70) (exists @t37 (and @t70 (forall @t69 (=> (_ @t68 @t6) @t67)))))))) % 0.44/0.68 (define @t72 () (@var "P" (-> $$unsorted Bool))) % 0.44/0.68 (define @t73 () (_ @t72 @t2)) % 0.44/0.68 (define @t74 () (lambda @t31 (forall (@list @t72) (=> (forall @t37 (=> (forall @t69 (=> @t9 (_ @t72 @t6))) @t73)) (forall @t37 @t73))))) % 0.44/0.68 (define @t75 () (lambda (@list @t7 @t2) (not (exists @t69 @t20)))) % 0.44/0.68 (define @t76 () (_ tptp.trc @t7)) % 0.44/0.68 (define @t77 () (_ @t76 @t6)) % 0.44/0.68 (define @t78 () (lambda @t27 (and (_ @t77 @t2) (_ (_ tptp.innf @t7) @t2)))) % 0.44/0.68 (define @t79 () (lambda @t31 (forall @t37 (exists @t69 (_ (_ (_ tptp.nfof @t7) @t6) @t2))))) % 0.44/0.68 (define @t80 () (_ @t76 @t2)) % 0.44/0.68 (define @t81 () (_ @t80 @t1)) % 0.44/0.68 (define @t82 () (lambda @t27 (exists (@list @t1) (and @t81 (_ @t77 @t1))))) % 0.44/0.68 (define @t83 () (_ tptp.join @t7)) % 0.44/0.68 (define @t84 () (_ (_ @t83 @t1) @t6)) % 0.44/0.68 (define @t85 () (lambda @t31 (forall @t49 (=> (and @t46 @t20) @t84)))) % 0.44/0.68 (define @t86 () (_ @t80 @t6)) % 0.44/0.68 (define @t87 () (lambda @t31 (forall @t49 (=> (and @t46 @t86) @t84)))) % 0.44/0.68 (define @t88 () (lambda @t31 (forall @t49 (=> (and @t81 @t86) @t84)))) % 0.44/0.68 (define @t89 () (lambda @t31 (forall @t21 (=> (_ (_ (_ tptp.trsc @t7) @t2) @t6) (_ (_ @t83 @t2) @t6))))) % 0.44/0.68 (define @t90 () (_ @t3 @t2 @t1)) % 0.44/0.68 (define @t91 () (@var "BOUND_VARIABLE_8871" (-> $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t92 () (@var "BOUND_VARIABLE_7746" $$unsorted)) % 0.44/0.68 (define @t93 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 0.44/0.68 (define @t94 () (_ @t91 @t93 @t92)) % 0.44/0.68 (define @t95 () (not (_ @t7 @t93 @t92))) % 0.44/0.68 (define @t96 () (@list @t93 @t92)) % 0.44/0.68 (define @t97 () (@var "BOUND_VARIABLE_8853" $$unsorted)) % 0.44/0.68 (define @t98 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.44/0.68 (define @t99 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 0.44/0.68 (define @t100 () (@list @t98 @t99 @t97)) % 0.44/0.68 (define @t101 () (not (forall @t100 (or (not (_ @t91 @t98 @t99)) (not (_ @t91 @t99 @t97)) (_ @t91 @t98 @t97))))) % 0.44/0.68 (define @t102 () (@list @t91)) % 0.44/0.68 (define @t103 () (forall @t102 (or @t101 (not (forall @t96 (or @t95 @t94))) (_ @t91 @t6 @t1)))) % 0.44/0.68 (define @t104 () (not @t103)) % 0.44/0.68 (define @t105 () (@var "BOUND_VARIABLE_8900" (-> $$unsorted $$unsorted Bool))) % 0.44/0.68 (define @t106 () (_ @t105 @t93 @t92)) % 0.44/0.68 (define @t107 () (@var "BOUND_VARIABLE_8889" $$unsorted)) % 0.44/0.68 (define @t108 () (@list @t98 @t99 @t107)) % 0.44/0.68 (define @t109 () (not (forall @t108 (or (not (_ @t105 @t98 @t99)) (not (_ @t105 @t99 @t107)) (_ @t105 @t98 @t107))))) % 0.44/0.68 (define @t110 () (@list @t105)) % 0.44/0.68 (define @t111 () (forall @t110 (or @t109 (not (forall @t96 (or @t95 @t106))) (_ @t105 @t2 @t6)))) % 0.44/0.68 (define @t112 () (not @t111)) % 0.44/0.68 (define @t113 () (@var "BOUND_VARIABLE_8920" $$unsorted)) % 0.44/0.68 (define @t114 () (@var "BOUND_VARIABLE_8918" $$unsorted)) % 0.44/0.68 (define @t115 () (@list @t114 @t113)) % 0.44/0.68 (define @t116 () (forall @t115 (or (not (_ @t7 @t114 @t113)) (_ @t3 @t114 @t113)))) % 0.44/0.68 (define @t117 () (not @t116)) % 0.44/0.68 (define @t118 () (@var "BOUND_VARIABLE_8932" $$unsorted)) % 0.44/0.68 (define @t119 () (@var "BOUND_VARIABLE_8928" $$unsorted)) % 0.44/0.68 (define @t120 () (@var "BOUND_VARIABLE_8930" $$unsorted)) % 0.44/0.68 (define @t121 () (@list @t119 @t120 @t118)) % 0.44/0.68 (define @t122 () (forall @t121 (or (not (_ @t3 @t119 @t120)) (not (_ @t3 @t120 @t118)) (_ @t3 @t119 @t118)))) % 0.44/0.68 (define @t123 () (not @t122)) % 0.44/0.68 (define @t124 () (or @t123 @t117 @t112 @t104 @t5)) % 0.44/0.68 (define @t125 () (or @t123 @t117 @t112 @t104)) % 0.44/0.68 (define @t126 () (and @t122 @t116 @t111 @t103)) % 0.44/0.68 (define @t127 () (_ @t3 @t6 @t1)) % 0.44/0.68 (define @t128 () (not (forall @t96 (or @t95 (_ @t3 @t93 @t92))))) % 0.44/0.68 (define @t129 () (not (_ @t3 @t98 @t99))) % 0.44/0.68 (define @t130 () (not (forall @t100 (or @t129 (not (_ @t3 @t99 @t97)) (_ @t3 @t98 @t97))))) % 0.44/0.68 (define @t131 () (forall @t54 (or @t130 @t128 @t127))) % 0.44/0.68 (define @t132 () (_ @t3 @t2 @t6)) % 0.44/0.68 (define @t133 () (forall (@list @t98 @t99 @t1) (or @t129 (not (_ @t3 @t99 @t1)) (_ @t3 @t98 @t1)))) % 0.44/0.68 (define @t134 () (not @t133)) % 0.44/0.68 (define @t135 () (forall @t54 (or @t134 @t128 @t132))) % 0.44/0.68 (define @t136 () (_ @t7 @t2 @t6)) % 0.44/0.68 (define @t137 () (not @t136)) % 0.44/0.68 (define @t138 () (forall @t21 (or @t137 @t132))) % 0.44/0.68 (define @t139 () (@list @t114 @t113)) % 0.44/0.68 (define @t140 () (forall @t49 (or (not @t132) (not @t127) @t90))) % 0.44/0.68 (define @t141 () (@list @t119 @t120 @t118)) % 0.44/0.68 (define @t142 () (and @t140 @t138 @t135 @t131)) % 0.44/0.68 (define @t143 () (=> @t142 @t5)) % 0.44/0.68 (define @t144 () (@var "BOUND_VARIABLE_8838" $$unsorted)) % 0.44/0.68 (define @t145 () (_ @t3 @t6 @t144)) % 0.44/0.68 (define @t146 () (@list @t144)) % 0.44/0.68 (define @t147 () (or @t134 @t128 @t145)) % 0.44/0.68 (define @t148 () (forall @t54 @t147)) % 0.44/0.68 (define @t149 () (lambda @t146 @t148)) % 0.44/0.68 (define @t150 () (lambda @t21 @t135)) % 0.44/0.68 (define @t151 () (lambda @t27 @t135)) % 0.44/0.68 (define @t152 () (not @t138)) % 0.44/0.68 (define @t153 () (not @t140)) % 0.44/0.68 (define @t154 () (lambda @t27 (forall @t54 (or @t153 @t152 @t132)))) % 0.44/0.68 (define @t155 () (lambda @t69 @t135)) % 0.44/0.68 (define @t156 () (lambda @t54 @t138)) % 0.44/0.68 (define @t157 () (_ (lambda @t23 @t138) @t7)) % 0.44/0.68 (define @t158 () (_ @t7 @t2 @t1)) % 0.44/0.68 (define @t159 () (_ @t7 @t6 @t1)) % 0.44/0.68 (define @t160 () (_ (lambda @t31 (forall @t49 (or @t137 (not @t159) @t158))) @t3)) % 0.44/0.68 (define @t161 () (_ @t154 @t7)) % 0.44/0.68 (define @t162 () (_ @t157 @t3)) % 0.44/0.68 (define @t163 () (and @t160 @t162 (_ (_ @t161 @t2) @t6) (_ (_ @t161 @t6) @t1))) % 0.44/0.68 (define @t164 () (=> @t163 @t5)) % 0.44/0.68 (define @t165 () (forall @t15 @t164)) % 0.44/0.68 (define @t166 () (or @t153 @t152 @t18)) % 0.44/0.68 (define @t167 () (and @t140 @t138)) % 0.44/0.68 (define @t168 () (and @t160 @t162)) % 0.44/0.68 (define @t169 () (=> @t168 @t18)) % 0.44/0.68 (define @t170 () (or @t67 @t18)) % 0.44/0.68 (define @t171 () (not @t47)) % 0.44/0.68 (define @t172 () (or @t67 @t171 @t46)) % 0.44/0.68 (define @t173 () (forall @t15 (or @t123 @t117 @t112 @t104 @t90))) % 0.44/0.68 (define @t174 () (@quantifiers_skolemize @t173 4)) % 0.44/0.68 (define @t175 () (@quantifiers_skolemize @t173 0)) % 0.44/0.68 (define @t176 () (forall @t115 (or (not (_ @t175 @t114 @t113)) (_ @t174 @t114 @t113)))) % 0.44/0.68 (define @t177 () (@quantifiers_skolemize @t173 3)) % 0.44/0.68 (define @t178 () (@quantifiers_skolemize @t173 1)) % 0.44/0.68 (define @t179 () (_ @t174 @t178 @t177)) % 0.44/0.68 (define @t180 () (@quantifiers_skolemize @t173 2)) % 0.44/0.68 (define @t181 () (not (_ @t175 @t93 @t92))) % 0.44/0.68 (define @t182 () (forall @t102 (or @t101 (not (forall @t96 (or @t181 @t94))) (_ @t91 @t180 @t177)))) % 0.44/0.68 (define @t183 () (not @t182)) % 0.44/0.68 (define @t184 () (forall @t110 (or @t109 (not (forall @t96 (or @t181 @t106))) (_ @t105 @t178 @t180)))) % 0.44/0.68 (define @t185 () (not @t184)) % 0.44/0.68 (define @t186 () (not @t176)) % 0.44/0.68 (define @t187 () (forall @t121 (or (not (_ @t174 @t119 @t120)) (not (_ @t174 @t120 @t118)) (_ @t174 @t119 @t118)))) % 0.44/0.68 (define @t188 () (not @t187)) % 0.44/0.68 (define @t189 () (or @t188 @t186 @t185 @t183 @t179)) % 0.44/0.68 (define @t190 () (@list true)) % 0.44/0.68 (define @t191 () (@list @t189)) % 0.44/0.68 (define @t192 () (forall @t96 (or @t181 (_ @t174 @t93 @t92)))) % 0.44/0.68 (define @t193 () (@list false)) % 0.44/0.68 (define @t194 () (@list @t174)) % 0.44/0.68 (define @t195 () (not (_ @t174 @t98 @t99))) % 0.44/0.68 (define @t196 () (forall @t108 (or @t195 (not (_ @t174 @t99 @t107)) (_ @t174 @t98 @t107)))) % 0.44/0.68 (define @t197 () (@list @t187)) % 0.44/0.68 (define @t198 () (_ @t174 @t178 @t180)) % 0.44/0.68 (define @t199 () (not @t192)) % 0.44/0.68 (define @t200 () (not @t196)) % 0.44/0.68 (define @t201 () (or @t200 @t199 @t198)) % 0.44/0.68 (define @t202 () (_ @t174 @t180 @t177)) % 0.44/0.68 (define @t203 () (not @t202)) % 0.44/0.68 (define @t204 () (not @t198)) % 0.44/0.68 (define @t205 () (or @t204 @t203 @t179)) % 0.44/0.68 (define @t206 () (forall @t100 (or @t195 (not (_ @t174 @t99 @t97)) (_ @t174 @t98 @t97)))) % 0.44/0.68 (define @t207 () (not @t206)) % 0.44/0.68 (define @t208 () (or @t207 @t199 @t202)) % 0.44/0.68 (assume @p1 @t17) % 0.44/0.68 (assume @p2 true) % 0.44/0.68 (step @p3 (= tptp.subrel @t24) :rule refl :args (@t24)) % 0.44/0.68 (step @p4 (= tptp.inv @t28) :rule refl :args (@t28)) % 0.44/0.68 (step @p5 (= tptp.idem @t33) :rule refl :args (@t33)) % 0.44/0.68 (step @p6 (= tptp.infl @t34) :rule refl :args (@t34)) % 0.44/0.68 (step @p7 (= tptp.mono @t35) :rule refl :args (@t35)) % 0.44/0.68 (step @p8 (= tptp.refl @t38) :rule refl :args (@t38)) % 0.44/0.68 (step @p9 (= tptp.irrefl @t39) :rule refl :args (@t39)) % 0.44/0.68 (step @p10 (= tptp.rc @t41) :rule refl :args (@t41)) % 0.44/0.68 (step @p11 (= tptp.symm @t42) :rule refl :args (@t42)) % 0.44/0.68 (step @p12 (= tptp.antisymm @t43) :rule refl :args (@t43)) % 0.44/0.68 (step @p13 (= tptp.asymm @t44) :rule refl :args (@t44)) % 0.44/0.68 (step @p14 (= tptp.sc @t45) :rule refl :args (@t45)) % 0.44/0.68 (step @p15 (= tptp.trans @t51) :rule refl :args (@t51)) % 0.44/0.68 (step @p16 (= tptp.tc @t56) :rule refl :args (@t56)) % 0.44/0.68 (step @p17 (= tptp.trc @t61) :rule refl :args (@t61)) % 0.44/0.68 (step @p18 (= tptp.trsc @t62) :rule refl :args (@t62)) % 0.44/0.68 (step @p19 (= tptp.po @t64) :rule refl :args (@t64)) % 0.44/0.68 (step @p20 (= tptp.so @t65) :rule refl :args (@t65)) % 0.44/0.68 (step @p21 (= tptp.total @t66) :rule refl :args (@t66)) % 0.44/0.68 (step @p22 (= tptp.term @t71) :rule refl :args (@t71)) % 0.44/0.68 (step @p23 (= tptp.ind @t74) :rule refl :args (@t74)) % 0.44/0.68 (step @p24 (= tptp.innf @t75) :rule refl :args (@t75)) % 0.44/0.68 (step @p25 (= tptp.nfof @t78) :rule refl :args (@t78)) % 0.44/0.68 (step @p26 (= tptp.norm @t79) :rule refl :args (@t79)) % 0.44/0.68 (step @p27 (= tptp.join @t82) :rule refl :args (@t82)) % 0.44/0.68 (step @p28 (= tptp.lconfl @t85) :rule refl :args (@t85)) % 0.44/0.68 (step @p29 (= tptp.sconfl @t87) :rule refl :args (@t87)) % 0.44/0.68 (step @p30 (= tptp.confl @t88) :rule refl :args (@t88)) % 0.44/0.68 (step @p31 (= tptp.cr @t89) :rule refl :args (@t89)) % 0.44/0.68 (step @p32 :rule refl :args (@t90)) % 0.44/0.68 (step @p33 :rule refl :args (@t5)) % 0.44/0.68 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t5 @t90))) % 0.44/0.68 (step @p35 :rule symm :premises (@p34)) % 0.44/0.68 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.44/0.68 (step @p37 :rule refl :args (@t104)) % 0.44/0.68 (step @p38 :rule refl :args (@t112)) % 0.44/0.68 (step @p39 :rule refl :args (@t117)) % 0.44/0.68 (step @p40 :rule refl :args (@t123)) % 0.44/0.68 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p37 @p36) :args (@t124)) % 0.44/0.68 (step @p42 :rule cong :premises (@p41) :args ((forall @t15 @t124))) % 0.44/0.68 (step @p43 :rule aci_norm :args ((= (or @t125 @t5) @t124))) % 0.44/0.68 (step @p44 :rule aci_norm :args ((= (or @t123 (or @t117 (or @t112 @t104))) @t125))) % 0.44/0.68 (step @p45 :rule bool-and-de-morgan :args (@t111 @t103 true)) % 0.44/0.68 (step @p46 :rule nary_cong :premises (@p39 @p45) :args ((or @t117 (not (and @t111 @t103))))) % 0.44/0.68 (step @p47 :rule bool-and-de-morgan :args (@t116 @t111 (and @t103))) % 0.44/0.68 (step @p48 :rule trans :premises (@p47 @p46)) % 0.44/0.68 (step @p49 :rule nary_cong :premises (@p40 @p48) :args ((or @t123 (not (and @t116 @t111 @t103))))) % 0.44/0.68 (step @p50 :rule bool-and-de-morgan :args (@t122 @t116 (and @t111 @t103))) % 0.44/0.68 (step @p51 :rule trans :premises (@p50 @p49)) % 0.44/0.68 (step @p52 :rule trans :premises (@p51 @p44)) % 0.44/0.68 (step @p53 :rule nary_cong :premises (@p52 @p33) :args ((or (not @t126) @t5))) % 0.44/0.68 (step @p54 :rule trans :premises (@p53 @p43)) % 0.44/0.68 (step @p55 :rule bool-impl-elim :args (@t126 @t5)) % 0.44/0.68 (step @p56 :rule trans :premises (@p55 @p54)) % 0.44/0.68 (step @p57 :rule cong :premises (@p56) :args ((forall @t15 (=> @t126 @t5)))) % 0.44/0.68 (step @p58 :rule trans :premises (@p57 @p42)) % 0.44/0.68 (step @p59 :rule alpha_equiv :args (@t131 (@list @t3) (@list @t91))) % 0.44/0.68 ; WARNING: add trust step for TRUST % 0.44/0.68 ; trust TRUST MACRO_THEORY_REWRITE_RCONS_SIMPLE % 0.44/0.68 (step @p60 :rule trust :premises () :args ((= @t135 @t111))) % 0.44/0.68 (step @p61 :rule alpha_equiv :args (@t138 (@list @t2 @t6) @t139)) % 0.44/0.68 (step @p62 :rule alpha_equiv :args (@t140 (@list @t2 @t6 @t1) @t141)) % 0.44/0.68 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59) :args (@t142)) % 0.44/0.68 (step @p64 :rule cong :premises (@p63 @p33) :args (@t143)) % 0.44/0.68 (step @p65 :rule cong :premises (@p64) :args ((forall @t15 @t143))) % 0.44/0.68 (step @p66 :rule trans :premises (@p65 @p58)) % 0.44/0.68 (step @p67 :rule refl :args (@t5)) % 0.44/0.68 (step @p68 :rule beta-reduce :args ((= (_ (lambda @t146 (forall @t54 (or @t130 @t128 @t145))) @t1) @t131))) % 0.44/0.68 (step @p69 :rule refl :args (@t1)) % 0.44/0.68 (step @p70 :rule refl :args (@t145)) % 0.44/0.68 (step @p71 :rule refl :args (@t128)) % 0.44/0.68 (step @p72 :rule alpha_equiv :args (@t133 (@list @t1) (@list @t97))) % 0.44/0.68 (step @p73 :rule cong :premises (@p72) :args (@t134)) % 0.44/0.68 (step @p74 :rule nary_cong :premises (@p73 @p71 @p70) :args (@t147)) % 0.44/0.68 (step @p75 :rule cong :premises (@p74) :args (@t148)) % 0.44/0.68 (step @p76 :rule cong :premises (@p75) :args (@t149)) % 0.44/0.68 (step @p77 :rule ho_cong :premises (@p76 @p69)) % 0.44/0.68 (step @p78 :rule trans :premises (@p77 @p68)) % 0.44/0.68 (step @p79 :rule refl :args (@t1)) % 0.44/0.68 (step @p80 :rule beta-reduce :args ((= (_ (lambda (@list @t2 @t144) (forall @t54 (or @t134 @t128 (_ @t3 @t2 @t144)))) @t6) @t149))) % 0.44/0.68 (step @p81 :rule refl :args (@t6)) % 0.44/0.68 (step @p82 :rule alpha_equiv :args (@t150 (@list @t6) (@list @t144))) % 0.44/0.68 (step @p83 :rule ho_cong :premises (@p82 @p81)) % 0.44/0.68 (step @p84 :rule trans :premises (@p83 @p80)) % 0.44/0.68 (step @p85 :rule refl :args (@t6)) % 0.44/0.68 (step @p86 :rule beta-reduce :args ((= (_ @t151 @t7) @t150))) % 0.44/0.68 (step @p87 :rule refl :args (@t7)) % 0.44/0.68 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 0.44/0.68 ; trust TRUST_THEORY_REWRITE % 0.44/0.68 (step @p88 :rule trust :premises () :args ((= @t154 @t151))) % 0.44/0.68 (step @p89 :rule ho_cong :premises (@p88 @p87)) % 0.44/0.68 (step @p90 :rule trans :premises (@p89 @p86)) % 0.44/0.68 (step @p91 :rule ho_cong :premises (@p90 @p85)) % 0.44/0.68 (step @p92 :rule trans :premises (@p91 @p84)) % 0.44/0.68 (step @p93 :rule ho_cong :premises (@p92 @p79)) % 0.44/0.68 (step @p94 :rule trans :premises (@p93 @p78)) % 0.44/0.68 (step @p95 :rule beta-reduce :args ((= (_ @t155 @t6) @t135))) % 0.44/0.68 (step @p96 :rule beta-reduce :args ((= (_ @t150 @t2) @t155))) % 0.44/0.68 (step @p97 :rule refl :args (@t2)) % 0.44/0.68 (step @p98 :rule ho_cong :premises (@p90 @p97)) % 0.44/0.68 (step @p99 :rule trans :premises (@p98 @p96)) % 0.44/0.68 (step @p100 :rule ho_cong :premises (@p99 @p85)) % 0.44/0.68 (step @p101 :rule trans :premises (@p100 @p95)) % 0.44/0.68 (step @p102 :rule beta-reduce :args ((= (_ @t156 @t3) @t138))) % 0.44/0.68 (step @p103 :rule refl :args (@t3)) % 0.44/0.68 (step @p104 :rule beta-reduce :args ((= @t157 @t156))) % 0.44/0.68 (step @p105 :rule ho_cong :premises (@p104 @p103)) % 0.44/0.68 (step @p106 :rule trans :premises (@p105 @p102)) % 0.44/0.68 (step @p107 :rule beta-reduce :args ((= @t160 @t140))) % 0.44/0.68 (step @p108 :rule nary_cong :premises (@p107 @p106 @p101 @p94) :args (@t163)) % 0.44/0.68 (step @p109 :rule cong :premises (@p108 @p67) :args (@t164)) % 0.44/0.68 (step @p110 :rule cong :premises (@p109) :args (@t165)) % 0.44/0.68 (step @p111 :rule trans :premises (@p110 @p66)) % 0.44/0.68 (step @p112 :rule cong :premises (@p111) :args ((not @t165))) % 0.44/0.68 (step @p113 :rule refl :args (@t132)) % 0.44/0.68 (step @p114 :rule refl :args (@t18)) % 0.44/0.68 (step @p115 :rule cong :premises (@p114 @p113) :args ((= @t18 @t132))) % 0.44/0.68 (step @p116 :rule symm :premises (@p115)) % 0.44/0.68 (step @p117 :rule eq_resolve :premises (@p114 @p116)) % 0.44/0.68 (step @p118 :rule refl :args (@t152)) % 0.44/0.68 (step @p119 :rule refl :args (@t153)) % 0.44/0.68 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t166)) % 0.44/0.68 (step @p121 :rule cong :premises (@p120) :args ((forall @t54 @t166))) % 0.44/0.68 (step @p122 :rule aci_norm :args ((= (or (or @t153 @t152) @t18) @t166))) % 0.44/0.68 (step @p123 :rule bool-and-de-morgan :args (@t140 @t138 true)) % 0.44/0.68 (step @p124 :rule nary_cong :premises (@p123 @p114) :args ((or (not @t167) @t18))) % 0.44/0.68 (step @p125 :rule trans :premises (@p124 @p122)) % 0.44/0.68 (step @p126 :rule bool-impl-elim :args (@t167 @t18)) % 0.44/0.68 (step @p127 :rule trans :premises (@p126 @p125)) % 0.44/0.68 (step @p128 :rule cong :premises (@p127) :args ((forall @t54 (=> @t167 @t18)))) % 0.44/0.68 (step @p129 :rule trans :premises (@p128 @p121)) % 0.44/0.68 (step @p130 :rule refl :args (@t18)) % 0.44/0.68 (step @p131 :rule nary_cong :premises (@p107 @p106) :args (@t168)) % 0.44/0.68 (step @p132 :rule cong :premises (@p131 @p130) :args (@t169)) % 0.44/0.68 (step @p133 :rule cong :premises (@p132) :args ((forall @t54 @t169))) % 0.44/0.68 (step @p134 :rule trans :premises (@p133 @p129)) % 0.44/0.68 (step @p135 :rule refl :args (@t136)) % 0.44/0.68 (step @p136 :rule refl :args (@t20)) % 0.44/0.68 (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t20 @t136))) % 0.44/0.68 (step @p138 :rule symm :premises (@p137)) % 0.44/0.68 (step @p139 :rule eq_resolve :premises (@p136 @p138)) % 0.44/0.68 (step @p140 :rule cong :premises (@p139) :args (@t67)) % 0.44/0.68 (step @p141 :rule nary_cong :premises (@p140 @p117) :args (@t170)) % 0.44/0.68 (step @p142 :rule cong :premises (@p141) :args ((forall @t21 @t170))) % 0.44/0.68 (step @p143 :rule bool-impl-elim :args (@t20 @t18)) % 0.44/0.68 (step @p144 :rule cong :premises (@p143) :args (@t22)) % 0.44/0.68 (step @p145 :rule trans :premises (@p144 @p142)) % 0.44/0.68 (step @p146 :rule cong :premises (@p145) :args (@t24)) % 0.44/0.68 (step @p147 :rule trans :premises (@p3 @p146)) % 0.44/0.68 (step @p148 :rule ho_cong :premises (@p147 @p87)) % 0.44/0.68 (step @p149 :rule ho_cong :premises (@p148 @p103)) % 0.44/0.68 (step @p150 :rule refl :args (@t158)) % 0.44/0.68 (step @p151 :rule refl :args (@t46)) % 0.44/0.68 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t46 @t158))) % 0.44/0.68 (step @p153 :rule symm :premises (@p152)) % 0.44/0.68 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.44/0.68 (step @p155 :rule refl :args (@t159)) % 0.44/0.68 (step @p156 :rule refl :args (@t47)) % 0.44/0.68 (step @p157 :rule cong :premises (@p156 @p155) :args ((= @t47 @t159))) % 0.44/0.68 (step @p158 :rule symm :premises (@p157)) % 0.44/0.68 (step @p159 :rule eq_resolve :premises (@p156 @p158)) % 0.44/0.68 (step @p160 :rule cong :premises (@p159) :args (@t171)) % 0.44/0.68 (step @p161 :rule nary_cong :premises (@p140 @p160 @p154) :args (@t172)) % 0.44/0.68 (step @p162 :rule cong :premises (@p161) :args ((forall @t49 @t172))) % 0.44/0.68 (step @p163 :rule aci_norm :args ((= (or (or @t67 @t171) @t46) @t172))) % 0.44/0.68 (step @p164 :rule bool-and-de-morgan :args (@t20 @t47 true)) % 0.44/0.68 (step @p165 :rule nary_cong :premises (@p164 @p151) :args ((or (not @t48) @t46))) % 0.44/0.68 (step @p166 :rule trans :premises (@p165 @p163)) % 0.44/0.68 (step @p167 :rule bool-impl-elim :args (@t48 @t46)) % 0.44/0.68 (step @p168 :rule trans :premises (@p167 @p166)) % 0.44/0.68 (step @p169 :rule cong :premises (@p168) :args (@t50)) % 0.44/0.68 (step @p170 :rule trans :premises (@p169 @p162)) % 0.44/0.68 (step @p171 :rule cong :premises (@p170) :args (@t51)) % 0.44/0.68 (step @p172 :rule trans :premises (@p15 @p171)) % 0.44/0.68 (step @p173 :rule ho_cong :premises (@p172 @p103)) % 0.44/0.68 (step @p174 :rule nary_cong :premises (@p173 @p149) :args (@t52)) % 0.44/0.68 (step @p175 :rule cong :premises (@p174 @p130) :args (@t53)) % 0.44/0.68 (step @p176 :rule cong :premises (@p175) :args (@t55)) % 0.44/0.68 (step @p177 :rule trans :premises (@p176 @p134)) % 0.44/0.68 (step @p178 :rule cong :premises (@p177) :args (@t56)) % 0.44/0.68 (step @p179 :rule trans :premises (@p16 @p178)) % 0.44/0.68 (step @p180 :rule ho_cong :premises (@p179 @p87)) % 0.44/0.68 (step @p181 :rule ho_cong :premises (@p180 @p85)) % 0.44/0.68 (step @p182 :rule ho_cong :premises (@p181 @p79)) % 0.44/0.68 (step @p183 :rule ho_cong :premises (@p180 @p97)) % 0.44/0.68 (step @p184 :rule ho_cong :premises (@p183 @p85)) % 0.44/0.68 (step @p185 :rule nary_cong :premises (@p173 @p149 @p184 @p182) :args (@t13)) % 0.44/0.68 (step @p186 :rule cong :premises (@p185 @p67) :args (@t14)) % 0.44/0.68 (step @p187 :rule cong :premises (@p186) :args (@t16)) % 0.44/0.68 (step @p188 :rule cong :premises (@p187) :args (@t17)) % 0.44/0.68 (step @p189 :rule trans :premises (@p188 @p112)) % 0.44/0.68 (step @p190 :rule eq_resolve :premises (@p1 @p189)) % 0.44/0.68 (step @p191 :rule skolemize :premises (@p190)) % 0.44/0.68 (step @p192 :rule bool-double-not-elim :args (@t176)) % 0.44/0.68 (step @p193 :rule refl :args (@t189)) % 0.44/0.68 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t189 (not @t186)))) % 0.44/0.68 (step @p195 :rule cnf_or_neg :args (@t189 1)) % 0.44/0.68 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 0.44/0.68 (step @p197 :rule reordering :premises (@p196) :args ((or @t176 @t189))) % 0.44/0.68 (step @p198 :rule chain_m_resolution :premises (@p197 @p191) :args (@t176 @t190 @t191)) % 0.44/0.68 (step @p199 :rule alpha_equiv :args (@t176 @t139 (@list @t93 @t92))) % 0.44/0.68 (step @p200 :rule equiv_elim1 :premises (@p199)) % 0.44/0.68 (step @p201 :rule chain_m_resolution :premises (@p200 @p198) :args (@t192 @t193 (@list @t176))) % 0.44/0.68 (step @p202 :rule bool-double-not-elim :args (@t187)) % 0.44/0.68 (step @p203 :rule nary_cong :premises (@p193 @p202) :args ((or @t189 (not @t188)))) % 0.44/0.68 (step @p204 :rule cnf_or_neg :args (@t189 0)) % 0.44/0.68 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.44/0.68 (step @p206 :rule reordering :premises (@p205) :args ((or @t187 @t189))) % 0.44/0.68 (step @p207 :rule chain_m_resolution :premises (@p206 @p191) :args (@t187 @t190 @t191)) % 0.44/0.68 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t178 @t180 @t177))) % 0.44/0.68 (step @p209 :rule bool-double-not-elim :args (@t184)) % 0.44/0.68 (step @p210 :rule nary_cong :premises (@p193 @p209) :args ((or @t189 (not @t185)))) % 0.44/0.68 (step @p211 :rule cnf_or_neg :args (@t189 2)) % 0.44/0.68 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.44/0.68 (step @p213 :rule reordering :premises (@p212) :args ((or @t184 @t189))) % 0.44/0.68 (step @p214 :rule chain_m_resolution :premises (@p213 @p191) :args (@t184 @t190 @t191)) % 0.44/0.68 (step @p215 :rule instantiate :premises (@p214) :args (@t194)) % 0.44/0.68 (step @p216 :rule alpha_equiv :args (@t187 @t141 (@list @t98 @t99 @t107))) % 0.44/0.68 (step @p217 :rule equiv_elim1 :premises (@p216)) % 0.44/0.68 (step @p218 :rule chain_m_resolution :premises (@p217 @p207) :args (@t196 @t193 @t197)) % 0.44/0.68 (step @p219 :rule cnf_or_pos :args (@t201)) % 0.44/0.68 (step @p220 :rule reordering :premises (@p219) :args ((or @t198 @t200 @t199 (not @t201)))) % 0.44/0.68 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p201 @p215) :args (@t198 (@list false false false) (@list @t196 @t192 @t201))) % 0.44/0.68 (step @p222 :rule cnf_or_neg :args (@t189 4)) % 0.44/0.68 (step @p223 :rule chain_m_resolution :premises (@p222 @p191) :args ((not @t179) @t190 @t191)) % 0.44/0.68 (step @p224 :rule cnf_or_pos :args (@t205)) % 0.44/0.68 (step @p225 :rule reordering :premises (@p224) :args ((or @t179 @t204 @t203 (not @t205)))) % 0.44/0.68 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p221 @p208) :args (@t203 (@list true false false) (@list @t179 @t198 @t205))) % 0.44/0.68 (step @p227 :rule alpha_equiv :args (@t187 @t141 (@list @t98 @t99 @t97))) % 0.44/0.68 (step @p228 :rule equiv_elim1 :premises (@p227)) % 0.44/0.68 (step @p229 :rule chain_m_resolution :premises (@p228 @p207) :args (@t206 @t193 @t197)) % 0.44/0.68 (step @p230 :rule bool-double-not-elim :args (@t182)) % 0.44/0.68 (step @p231 :rule nary_cong :premises (@p193 @p230) :args ((or @t189 (not @t183)))) % 0.44/0.68 (step @p232 :rule cnf_or_neg :args (@t189 3)) % 0.44/0.68 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.44/0.68 (step @p234 :rule reordering :premises (@p233) :args ((or @t182 @t189))) % 0.44/0.68 (step @p235 :rule chain_m_resolution :premises (@p234 @p191) :args (@t182 @t190 @t191)) % 0.44/0.68 (step @p236 :rule instantiate :premises (@p235) :args (@t194)) % 0.44/0.68 (step @p237 :rule cnf_or_pos :args (@t208)) % 0.44/0.68 (step @p238 :rule reordering :premises (@p237) :args ((or @t202 @t199 @t207 (not @t208)))) % 0.44/0.68 (step @p239 false :rule chain_m_resolution :premises (@p238 @p236 @p229 @p226 @p201) :args (false (@list false false true false) (@list @t208 @t206 @t202 @t192))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------