%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU486^1 : TPTP v9.2.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:56 AM UTC 2026 % Result : Theorem 194.16s 194.41s % Output : Proof 194.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU486^1 : 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 % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:38:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 194.16/194.41 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 194.16/194.41 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 194.16/194.41 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 194.16/194.41 --- Run --ho-elim --full-saturate-quant at 18s... % 194.16/194.41 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 194.16/194.41 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 194.16/194.41 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 194.16/194.41 % SZS status Theorem % 194.16/194.41 % SZS output start Proof % 194.16/194.41 ( % 194.16/194.41 (declare-sort $$unsorted 0) % 194.16/194.41 (define tptp.subrel () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_3) (forall (@list _let_2 _let_1) (=> (_ (_ _let_4 _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))) % 194.16/194.41 (define tptp.inv () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))) % 194.16/194.41 (define tptp.idem () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (_ _let_2 _let_1))) (lambda (@list _let_2) (forall (@list _let_1) (= (_ _let_2 _let_3) _let_3))))))) % 194.16/194.41 (define tptp.infl () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ tptp.subrel _let_1) (_ _let_2 _let_1))))))) % 194.16/194.41 (define tptp.mono () (let ((_let_1 (@var "S" (-> $$unsorted $$unsorted Bool)))) (let ((_let_2 (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_3 _let_1) (=> (_ (_ tptp.subrel _let_3) _let_1) (_ (_ tptp.subrel (_ _let_2 _let_3)) (_ _let_2 _let_1))))))))) % 194.16/194.41 (define tptp.refl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1)))))) % 194.16/194.41 (define tptp.irrefl () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ (_ _let_2 _let_1) _let_1))))))) % 194.16/194.41 (define tptp.rc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (= _let_2 _let_1) (_ (_ _let_3 _let_2) _let_1))))))) % 194.16/194.41 (define tptp.symm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1)))))))) % 194.16/194.41 (define tptp.antisymm () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2 _let_1) (=> (and (_ (_ _let_3 _let_2) _let_1) (_ (_ _let_3 _let_1) _let_2)) (= _let_2 _let_1)))))))) % 194.16/194.41 (define tptp.asymm () (let ((_let_1 (@var "X" $$unsorted))) (let ((_let_2 (@var "Y" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (not (_ (_ _let_3 _let_2) _let_1))))))))) % 194.16/194.41 (define tptp.sc () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 194.16/194.41 (define tptp.trans () (let ((_let_1 (@var "Z" $$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)))))))))) % 194.16/194.41 (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))))))))) % 194.16/194.41 (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)))))) % 194.16/194.41 (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)))))) % 194.16/194.41 (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))))) % 194.16/194.41 (define tptp.so () (let ((_let_1 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_1) (and (_ tptp.asymm _let_1) (_ tptp.trans _let_1))))) % 194.16/194.41 (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)))))))) % 194.16/194.41 (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" (-> $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_2))) (let ((_let_6 (@list _let_2))) (lambda (@list _let_3) (forall (@list _let_4) (=> (exists _let_6 _let_5) (exists _let_6 (and _let_5 (forall (@list _let_1) (=> (_ _let_4 _let_1) (not (_ (_ _let_3 _let_2) _let_1)))))))))))))))) % 194.16/194.41 (define tptp.ind () (let ((_let_1 (@var "X" $$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))))))))))) % 194.16/194.41 (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)))))))) % 194.16/194.41 (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))))))) % 194.16/194.41 (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)))))))) % 194.16/194.41 (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" $$unsorted))) (lambda (@list _let_3 _let_5 _let_2) (exists (@list _let_1) (and (_ (_ _let_4 _let_5) _let_1) (_ (_ _let_4 _let_2) _let_1)))))))))) % 194.16/194.41 (define tptp.lconfl () (let ((_let_1 (@var "Y" $$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)))))))))) % 194.16/194.41 (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" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ (_ _let_3 _let_4) _let_2) (_ (_ (_ tptp.trc _let_3) _let_4) _let_1)) (_ (_ (_ tptp.join _let_3) _let_2) _let_1))))))))) % 194.16/194.41 (define tptp.confl () (let ((_let_1 (@var "Y" $$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)))))))))) % 194.16/194.41 (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)))))))) % 194.16/194.41 (define @t1 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t2 () (=> (_ tptp.confl @t1) (_ tptp.lconfl @t1))) % 194.16/194.41 (define @t3 () (@list @t1)) % 194.16/194.41 (define @t4 () (forall @t3 @t2)) % 194.16/194.41 (define @t5 () (not @t4)) % 194.16/194.41 (define @t6 () (@var "Y" $$unsorted)) % 194.16/194.41 (define @t7 () (@var "X" $$unsorted)) % 194.16/194.41 (define @t8 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t9 () (_ (_ @t8 @t7) @t6)) % 194.16/194.41 (define @t10 () (_ @t1 @t7)) % 194.16/194.41 (define @t11 () (_ @t10 @t6)) % 194.16/194.41 (define @t12 () (@list @t7 @t6)) % 194.16/194.41 (define @t13 () (forall @t12 (=> @t11 @t9))) % 194.16/194.41 (define @t14 () (@list @t1 @t8)) % 194.16/194.41 (define @t15 () (lambda @t14 @t13)) % 194.16/194.41 (define @t16 () (_ @t1 @t6)) % 194.16/194.41 (define @t17 () (_ @t16 @t7)) % 194.16/194.41 (define @t18 () (@list @t1 @t7 @t6)) % 194.16/194.41 (define @t19 () (lambda @t18 @t17)) % 194.16/194.41 (define @t20 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t21 () (_ @t20 @t1)) % 194.16/194.41 (define @t22 () (@list @t20)) % 194.16/194.41 (define @t23 () (lambda @t22 (forall @t3 (= (_ @t20 @t21) @t21)))) % 194.16/194.41 (define @t24 () (_ tptp.subrel @t1)) % 194.16/194.41 (define @t25 () (lambda @t22 (forall @t3 (_ @t24 @t21)))) % 194.16/194.41 (define @t26 () (_ @t24 @t8)) % 194.16/194.41 (define @t27 () (lambda @t22 (forall @t14 (=> @t26 (_ (_ tptp.subrel @t21) (_ @t20 @t8)))))) % 194.16/194.41 (define @t28 () (_ @t10 @t7)) % 194.16/194.41 (define @t29 () (@list @t7)) % 194.16/194.41 (define @t30 () (lambda @t3 (forall @t29 @t28))) % 194.16/194.41 (define @t31 () (lambda @t3 (forall @t29 (not @t28)))) % 194.16/194.41 (define @t32 () (= @t7 @t6)) % 194.16/194.41 (define @t33 () (lambda @t18 (or @t32 @t11))) % 194.16/194.41 (define @t34 () (lambda @t3 (forall @t12 (=> @t11 @t17)))) % 194.16/194.41 (define @t35 () (lambda @t3 (forall @t12 (=> (and @t11 @t17) @t32)))) % 194.16/194.41 (define @t36 () (lambda @t3 (forall @t12 (=> @t11 (not @t17))))) % 194.16/194.41 (define @t37 () (lambda @t18 (or @t17 @t11))) % 194.16/194.41 (define @t38 () (@var "Z" $$unsorted)) % 194.16/194.41 (define @t39 () (_ @t10 @t38)) % 194.16/194.41 (define @t40 () (_ @t16 @t38)) % 194.16/194.41 (define @t41 () (and @t11 @t40)) % 194.16/194.41 (define @t42 () (@list @t7 @t6 @t38)) % 194.16/194.41 (define @t43 () (forall @t42 (=> @t41 @t39))) % 194.16/194.41 (define @t44 () (lambda @t3 @t43)) % 194.16/194.41 (define @t45 () (and (_ tptp.trans @t8) @t26)) % 194.16/194.41 (define @t46 () (=> @t45 @t9)) % 194.16/194.41 (define @t47 () (@list @t8)) % 194.16/194.41 (define @t48 () (forall @t47 @t46)) % 194.16/194.41 (define @t49 () (lambda @t18 @t48)) % 194.16/194.41 (define @t50 () (@var "__flatten_var_1" $$unsorted)) % 194.16/194.41 (define @t51 () (@var "__flatten_var_0" $$unsorted)) % 194.16/194.41 (define @t52 () (_ tptp.tc @t1)) % 194.16/194.41 (define @t53 () (_ tptp.rc @t52)) % 194.16/194.41 (define @t54 () (@list @t1 @t51 @t50)) % 194.16/194.41 (define @t55 () (lambda @t54 (_ (_ @t53 @t51) @t50))) % 194.16/194.41 (define @t56 () (lambda @t54 (_ (_ (_ tptp.sc @t53) @t51) @t50))) % 194.16/194.41 (define @t57 () (_ tptp.trans @t1)) % 194.16/194.41 (define @t58 () (lambda @t3 (and (_ tptp.refl @t1) (_ tptp.antisymm @t1) @t57))) % 194.16/194.41 (define @t59 () (lambda @t3 (and (_ tptp.asymm @t1) @t57))) % 194.16/194.41 (define @t60 () (lambda @t3 (forall @t12 (or @t32 @t11 @t17)))) % 194.16/194.41 (define @t61 () (not @t11)) % 194.16/194.41 (define @t62 () (@var "A" (-> $$unsorted Bool))) % 194.16/194.41 (define @t63 () (@list @t6)) % 194.16/194.41 (define @t64 () (_ @t62 @t7)) % 194.16/194.41 (define @t65 () (lambda @t3 (forall (@list @t62) (=> (exists @t29 @t64) (exists @t29 (and @t64 (forall @t63 (=> (_ @t62 @t6) @t61)))))))) % 194.16/194.41 (define @t66 () (@var "P" (-> $$unsorted Bool))) % 194.16/194.41 (define @t67 () (_ @t66 @t7)) % 194.16/194.41 (define @t68 () (lambda @t3 (forall (@list @t66) (=> (forall @t29 (=> (forall @t63 (=> (_ (_ @t52 @t7) @t6) (_ @t66 @t6))) @t67)) (forall @t29 @t67))))) % 194.16/194.41 (define @t69 () (lambda (@list @t1 @t7) (not (exists @t63 @t11)))) % 194.16/194.41 (define @t70 () (_ tptp.trc @t1)) % 194.16/194.41 (define @t71 () (_ @t70 @t6)) % 194.16/194.41 (define @t72 () (lambda @t18 (and (_ @t71 @t7) (_ (_ tptp.innf @t1) @t7)))) % 194.16/194.41 (define @t73 () (lambda @t3 (forall @t29 (exists @t63 (_ (_ (_ tptp.nfof @t1) @t6) @t7))))) % 194.16/194.41 (define @t74 () (_ @t70 @t7)) % 194.16/194.41 (define @t75 () (_ @t74 @t38)) % 194.16/194.41 (define @t76 () (and @t75 (_ @t71 @t38))) % 194.16/194.41 (define @t77 () (@list @t38)) % 194.16/194.41 (define @t78 () (exists @t77 @t76)) % 194.16/194.41 (define @t79 () (lambda @t18 @t78)) % 194.16/194.41 (define @t80 () (_ tptp.join @t1)) % 194.16/194.41 (define @t81 () (_ (_ @t80 @t38) @t6)) % 194.16/194.41 (define @t82 () (and @t39 @t11)) % 194.16/194.41 (define @t83 () (=> @t82 @t81)) % 194.16/194.41 (define @t84 () (forall @t42 @t83)) % 194.16/194.41 (define @t85 () (lambda @t3 @t84)) % 194.16/194.41 (define @t86 () (_ @t74 @t6)) % 194.16/194.41 (define @t87 () (lambda @t3 (forall @t42 (=> (and @t39 @t86) @t81)))) % 194.16/194.41 (define @t88 () (and @t75 @t86)) % 194.16/194.41 (define @t89 () (=> @t88 @t81)) % 194.16/194.41 (define @t90 () (forall @t42 @t89)) % 194.16/194.41 (define @t91 () (lambda @t3 @t90)) % 194.16/194.41 (define @t92 () (lambda @t3 (forall @t12 (=> (_ (_ (_ tptp.trsc @t1) @t7) @t6) (_ (_ @t80 @t7) @t6))))) % 194.16/194.41 (define @t93 () (@var "BOUND_VARIABLE_8841" $$unsorted)) % 194.16/194.41 (define @t94 () (@var "BOUND_VARIABLE_8843" $$unsorted)) % 194.16/194.41 (define @t95 () (@var "BOUND_VARIABLE_8901" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.16/194.41 (define @t96 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 194.16/194.41 (define @t97 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 194.16/194.41 (define @t98 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 194.16/194.41 (define @t99 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 194.16/194.41 (define @t100 () (@var "BOUND_VARIABLE_8915" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.16/194.41 (define @t101 () (not (_ @t97 (_ @t96 @t100 @t99) @t98))) % 194.16/194.41 (define @t102 () (@list @t99 @t98)) % 194.16/194.41 (define @t103 () (@var "BOUND_VARIABLE_8249" $$unsorted)) % 194.16/194.41 (define @t104 () (@var "BOUND_VARIABLE_7756" $$unsorted)) % 194.16/194.41 (define @t105 () (_ @t96 @t95 @t104)) % 194.16/194.41 (define @t106 () (@var "BOUND_VARIABLE_7758" $$unsorted)) % 194.16/194.41 (define @t107 () (@list @t104 @t106 @t103)) % 194.16/194.41 (define @t108 () (@var "BOUND_VARIABLE_8939" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.16/194.41 (define @t109 () (@var "BOUND_VARIABLE_8268" $$unsorted)) % 194.16/194.41 (define @t110 () (_ @t96 @t108 @t104)) % 194.16/194.41 (define @t111 () (@list @t104 @t106 @t109)) % 194.16/194.41 (define @t112 () (@var "BOUND_VARIABLE_8361" $$unsorted)) % 194.16/194.41 (define @t113 () (@var "BOUND_VARIABLE_8966" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.16/194.41 (define @t114 () (_ @t97 (_ @t96 @t113 @t99) @t98)) % 194.16/194.41 (define @t115 () (not (forall @t102 (or @t101 @t114)))) % 194.16/194.41 (define @t116 () (_ @t96 @t113 @t104)) % 194.16/194.41 (define @t117 () (_ @t96 @t113 @t106)) % 194.16/194.41 (define @t118 () (not (_ @t97 @t116 @t106))) % 194.16/194.41 (define @t119 () (not (forall @t107 (or @t118 (not (_ @t97 @t117 @t103)) (_ @t97 @t116 @t103))))) % 194.16/194.41 (define @t120 () (@list @t113)) % 194.16/194.41 (define @t121 () (not (forall @t111 (or @t118 (not (_ @t97 @t117 @t109)) (_ @t97 @t116 @t109))))) % 194.16/194.41 (define @t122 () (@list @t112)) % 194.16/194.41 (define @t123 () (= @t93 @t94)) % 194.16/194.41 (define @t124 () (@var "BOUND_VARIABLE_8839" $$unsorted)) % 194.16/194.41 (define @t125 () (_ @t96 @t100 @t124)) % 194.16/194.41 (define @t126 () (@var "BOUND_VARIABLE_9023" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.16/194.41 (define @t127 () (_ @t97 (_ @t96 @t126 @t38) @t6)) % 194.16/194.41 (define @t128 () (_ @t97 (_ @t96 @t126 @t99) @t98)) % 194.16/194.41 (define @t129 () (_ @t96 @t126 @t104)) % 194.16/194.41 (define @t130 () (not (forall @t107 (or (not (_ @t97 @t129 @t106)) (not (_ @t97 (_ @t96 @t126 @t106) @t103)) (_ @t97 @t129 @t103))))) % 194.16/194.41 (define @t131 () (@var "BOUND_VARIABLE_9050" (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 194.16/194.41 (define @t132 () (_ @t97 (_ @t96 @t131 @t6) @t38)) % 194.16/194.41 (define @t133 () (_ @t97 (_ @t96 @t131 @t99) @t98)) % 194.16/194.41 (define @t134 () (_ @t96 @t131 @t104)) % 194.16/194.41 (define @t135 () (not (forall @t111 (or (not (_ @t97 @t134 @t106)) (not (_ @t97 (_ @t96 @t131 @t106) @t109)) (_ @t97 @t134 @t109))))) % 194.16/194.41 (define @t136 () (_ @t97 (_ @t96 @t113 @t38) @t112)) % 194.16/194.41 (define @t137 () (_ @t97 (_ @t96 @t113 @t6) @t112)) % 194.16/194.41 (define @t138 () (= @t6 @t38)) % 194.16/194.41 (define @t139 () (_ @t96 @t113 @t7)) % 194.16/194.41 (define @t140 () (_ @t97 @t139 @t6)) % 194.16/194.41 (define @t141 () (@var "BOUND_VARIABLE_8583" $$unsorted)) % 194.16/194.41 (define @t142 () (@list @t104 @t106 @t141)) % 194.16/194.41 (define @t143 () (not (forall @t142 (or @t118 (not (_ @t97 @t117 @t141)) (_ @t97 @t116 @t141))))) % 194.16/194.41 (define @t144 () (not @t32)) % 194.16/194.41 (define @t145 () (_ @t97 @t139 @t38)) % 194.16/194.41 (define @t146 () (= @t7 @t38)) % 194.16/194.41 (define @t147 () (not @t146)) % 194.16/194.41 (define @t148 () (@list @t7 @t6 @t38 @t131 @t126)) % 194.16/194.41 (define @t149 () (forall (@list @t100 @t124 @t93 @t94 @t108 @t95) (or (not (forall @t148 (or (and @t147 (not (forall @t120 (or @t119 @t115 @t145)))) (and @t144 (not (forall @t120 (or @t143 @t115 @t140)))) @t138 (not (forall @t122 (or (not (forall @t120 (or @t121 @t115 @t137))) (not (forall @t120 (or @t119 @t115 @t136)))))) @t135 (not (forall @t102 (or @t101 @t133))) @t132 @t130 (not (forall @t102 (or @t101 @t128))) @t127))) (not (_ @t97 @t125 @t94)) (not (_ @t97 @t125 @t93)) @t123 (not (forall @t122 (or (not (forall @t120 (or @t121 @t115 (_ @t97 (_ @t96 @t113 @t93) @t112)))) (not (forall @t120 (or @t119 @t115 (_ @t97 (_ @t96 @t113 @t94) @t112))))))) (not (forall @t111 (or (not (_ @t97 @t110 @t106)) (not (_ @t97 (_ @t96 @t108 @t106) @t109)) (_ @t97 @t110 @t109)))) (not (forall @t102 (or @t101 (_ @t97 (_ @t96 @t108 @t99) @t98)))) (_ @t97 (_ @t96 @t108 @t93) @t94) (not (forall @t107 (or (not (_ @t97 @t105 @t106)) (not (_ @t97 (_ @t96 @t95 @t106) @t103)) (_ @t97 @t105 @t103)))) (not (forall @t102 (or @t101 (_ @t97 (_ @t96 @t95 @t99) @t98)))) (_ @t97 (_ @t96 @t95 @t94) @t93)))) % 194.16/194.41 (define @t150 () (@var "BOUND_VARIABLE_8847" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t151 () (_ @t150 @t94 @t93)) % 194.16/194.41 (define @t152 () (not (_ @t1 @t99 @t98))) % 194.16/194.41 (define @t153 () (not (forall @t102 (or @t152 (_ @t150 @t99 @t98))))) % 194.16/194.41 (define @t154 () (not (forall @t107 (or (not (_ @t150 @t104 @t106)) (not (_ @t150 @t106 @t103)) (_ @t150 @t104 @t103))))) % 194.16/194.41 (define @t155 () (@var "BOUND_VARIABLE_8845" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t156 () (_ @t155 @t93 @t94)) % 194.16/194.41 (define @t157 () (not (forall @t102 (or @t152 (_ @t155 @t99 @t98))))) % 194.16/194.41 (define @t158 () (not (forall @t111 (or (not (_ @t155 @t104 @t106)) (not (_ @t155 @t106 @t109)) (_ @t155 @t104 @t109))))) % 194.16/194.41 (define @t159 () (not (forall @t102 (or @t152 (_ @t8 @t99 @t98))))) % 194.16/194.41 (define @t160 () (not (_ @t8 @t104 @t106))) % 194.16/194.41 (define @t161 () (not (forall @t107 (or @t160 (not (_ @t8 @t106 @t103)) (_ @t8 @t104 @t103))))) % 194.16/194.41 (define @t162 () (not (forall @t111 (or @t160 (not (_ @t8 @t106 @t109)) (_ @t8 @t104 @t109))))) % 194.16/194.41 (define @t163 () (not (forall @t122 (or (not (forall @t47 (or @t162 @t159 (_ @t8 @t93 @t112)))) (not (forall @t47 (or @t161 @t159 (_ @t8 @t94 @t112)))))))) % 194.16/194.41 (define @t164 () (not (_ @t1 @t124 @t93))) % 194.16/194.41 (define @t165 () (not (_ @t1 @t124 @t94))) % 194.16/194.41 (define @t166 () (@var "BOUND_VARIABLE_8621" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t167 () (_ @t166 @t38 @t6)) % 194.16/194.41 (define @t168 () (not (forall @t102 (or @t152 (_ @t166 @t99 @t98))))) % 194.16/194.41 (define @t169 () (not (forall @t107 (or (not (_ @t166 @t104 @t106)) (not (_ @t166 @t106 @t103)) (_ @t166 @t104 @t103))))) % 194.16/194.41 (define @t170 () (@var "BOUND_VARIABLE_8605" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t171 () (_ @t170 @t6 @t38)) % 194.16/194.41 (define @t172 () (not (forall @t102 (or @t152 (_ @t170 @t99 @t98))))) % 194.16/194.41 (define @t173 () (not (forall @t111 (or (not (_ @t170 @t104 @t106)) (not (_ @t170 @t106 @t109)) (_ @t170 @t104 @t109))))) % 194.16/194.41 (define @t174 () (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t112))))) % 194.16/194.41 (define @t175 () (forall @t122 (or @t174 (not (forall @t47 (or @t161 @t159 (_ @t8 @t38 @t112))))))) % 194.16/194.41 (define @t176 () (not @t175)) % 194.16/194.41 (define @t177 () (_ @t8 @t7 @t6)) % 194.16/194.41 (define @t178 () (forall @t47 (or (not (forall @t142 (or @t160 (not (_ @t8 @t106 @t141)) (_ @t8 @t104 @t141)))) @t159 @t177))) % 194.16/194.41 (define @t179 () (and @t144 (not @t178))) % 194.16/194.41 (define @t180 () (_ @t8 @t7 @t38)) % 194.16/194.41 (define @t181 () (forall @t47 (or @t161 @t159 @t180))) % 194.16/194.41 (define @t182 () (not @t181)) % 194.16/194.41 (define @t183 () (and @t147 @t182)) % 194.16/194.41 (define @t184 () (or @t183 @t179 @t138 @t176 @t173 @t172 @t171 @t169 @t168 @t167)) % 194.16/194.41 (define @t185 () (@list @t7 @t6 @t38 @t170 @t166)) % 194.16/194.41 (define @t186 () (forall @t185 @t184)) % 194.16/194.41 (define @t187 () (not @t186)) % 194.16/194.41 (define @t188 () (or @t187 @t165 @t164 @t123 @t163 @t158 @t157 @t156 @t154 @t153 @t151)) % 194.16/194.41 (define @t189 () (@list @t1 @t124 @t93 @t94 @t155 @t150)) % 194.16/194.41 (define @t190 () (or @t165 @t164 @t123 @t163 @t158 @t157 @t156 @t154 @t153 @t151)) % 194.16/194.41 (define @t191 () (or @t187 @t190)) % 194.16/194.41 (define @t192 () (forall @t189 @t191)) % 194.16/194.41 (define @t193 () (@list @t124 @t93 @t94 @t155 @t150)) % 194.16/194.41 (define @t194 () (forall @t193 @t191)) % 194.16/194.41 (define @t195 () (forall @t193 @t190)) % 194.16/194.41 (define @t196 () (@var "BOUND_VARIABLE_8458" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t197 () (@var "BOUND_VARIABLE_8442" (-> $$unsorted $$unsorted Bool))) % 194.16/194.41 (define @t198 () (or @t187 @t195)) % 194.16/194.41 (define @t199 () (_ @t196 @t38 @t6)) % 194.16/194.41 (define @t200 () (not (forall @t102 (or @t152 (_ @t196 @t99 @t98))))) % 194.16/194.41 (define @t201 () (not (forall @t107 (or (not (_ @t196 @t104 @t106)) (not (_ @t196 @t106 @t103)) (_ @t196 @t104 @t103))))) % 194.16/194.41 (define @t202 () (_ @t197 @t6 @t38)) % 194.16/194.41 (define @t203 () (not (forall @t102 (or @t152 (_ @t197 @t99 @t98))))) % 194.16/194.41 (define @t204 () (not (forall @t111 (or (not (_ @t197 @t104 @t106)) (not (_ @t197 @t106 @t109)) (_ @t197 @t104 @t109))))) % 194.16/194.41 (define @t205 () (_ @t1 @t7 @t6)) % 194.16/194.41 (define @t206 () (not @t205)) % 194.16/194.41 (define @t207 () (_ @t1 @t7 @t38)) % 194.16/194.41 (define @t208 () (not @t207)) % 194.16/194.41 (define @t209 () (or @t208 @t206 @t138 @t176 @t204 @t203 @t202 @t201 @t200 @t199)) % 194.16/194.41 (define @t210 () (@list @t7 @t6 @t38 @t197 @t196)) % 194.16/194.41 (define @t211 () (forall @t210 @t209)) % 194.16/194.41 (define @t212 () (_ (lambda @t3 @t211) @t1)) % 194.16/194.41 (define @t213 () (_ (lambda @t3 @t186) @t1)) % 194.16/194.41 (define @t214 () (=> @t213 @t212)) % 194.16/194.41 (define @t215 () (forall @t3 @t214)) % 194.16/194.41 (define @t216 () (or @t201 @t200 @t199)) % 194.16/194.41 (define @t217 () (or @t204 @t203 @t202)) % 194.16/194.41 (define @t218 () (or @t208 @t206 @t138 @t217 @t216 @t176)) % 194.16/194.41 (define @t219 () (forall @t210 @t218)) % 194.16/194.41 (define @t220 () (forall (@list @t197 @t196) @t218)) % 194.16/194.41 (define @t221 () (forall (@list @t196) @t216)) % 194.16/194.41 (define @t222 () (@list @t8)) % 194.16/194.41 (define @t223 () (forall (@list @t197) @t217)) % 194.16/194.41 (define @t224 () (or @t208 @t206 @t138 @t223 @t221 @t176)) % 194.16/194.41 (define @t225 () (forall @t47 (or @t161 @t159 (_ @t8 @t38 @t6)))) % 194.16/194.41 (define @t226 () (_ @t8 @t6 @t38)) % 194.16/194.41 (define @t227 () (forall @t47 (or @t162 @t159 @t226))) % 194.16/194.41 (define @t228 () (not @t39)) % 194.16/194.41 (define @t229 () (or @t228 @t61 @t138 @t227 @t225 @t176)) % 194.16/194.41 (define @t230 () (or @t138 @t227 @t225 @t176)) % 194.16/194.41 (define @t231 () (not @t225)) % 194.16/194.41 (define @t232 () (not @t231)) % 194.16/194.41 (define @t233 () (not @t227)) % 194.16/194.41 (define @t234 () (not @t233)) % 194.16/194.41 (define @t235 () (not @t138)) % 194.16/194.41 (define @t236 () (not @t235)) % 194.16/194.41 (define @t237 () (or @t236 @t234 @t232 @t176)) % 194.16/194.41 (define @t238 () (not (and @t235 @t233 @t231 @t175))) % 194.16/194.41 (define @t239 () (not (= @t38 @t6))) % 194.16/194.41 (define @t240 () (and @t239 @t233 @t231 @t175)) % 194.16/194.41 (define @t241 () (not @t240)) % 194.16/194.41 (define @t242 () (lambda @t63 @t241)) % 194.16/194.41 (define @t243 () (forall @t122 (or @t174 (not (forall @t47 (or @t161 @t159 (_ @t8 @t7 @t112))))))) % 194.16/194.41 (define @t244 () (not (forall @t47 (or @t161 @t159 @t177)))) % 194.16/194.41 (define @t245 () (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t7))))) % 194.16/194.41 (define @t246 () (and @t144 @t245 @t244 @t243)) % 194.16/194.41 (define @t247 () (not @t246)) % 194.16/194.41 (define @t248 () (lambda @t12 @t247)) % 194.16/194.41 (define @t249 () (_ (lambda @t18 @t247) @t1)) % 194.16/194.41 (define @t250 () (_ (_ @t249 @t38) @t6)) % 194.16/194.41 (define @t251 () (=> @t82 @t250)) % 194.16/194.41 (define @t252 () (and @t144 @t245)) % 194.16/194.41 (define @t253 () (not (= @t6 @t6))) % 194.16/194.41 (define @t254 () (or @t253 @t244)) % 194.16/194.41 (define @t255 () (@var "BOUND_VARIABLE_8350" $$unsorted)) % 194.16/194.41 (define @t256 () (not (forall @t47 (or @t161 @t159 (_ @t8 @t7 @t255))))) % 194.16/194.41 (define @t257 () (not (= @t6 @t255))) % 194.16/194.41 (define @t258 () (@list @t255)) % 194.16/194.41 (define @t259 () (or @t257 @t257 @t256)) % 194.16/194.41 (define @t260 () (or @t257 @t256)) % 194.16/194.41 (define @t261 () (forall @t258 @t260)) % 194.16/194.41 (define @t262 () (@var "BOUND_VARIABLE_8319" $$unsorted)) % 194.16/194.41 (define @t263 () (not (forall @t47 (or @t161 @t159 (_ @t8 @t7 @t262))))) % 194.16/194.41 (define @t264 () (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t262))))) % 194.16/194.41 (define @t265 () (or @t264 @t263)) % 194.16/194.41 (define @t266 () (@list @t262)) % 194.16/194.41 (define @t267 () (forall @t266 @t265)) % 194.16/194.41 (define @t268 () (@list @t262)) % 194.16/194.41 (define @t269 () (not (= @t6 @t262))) % 194.16/194.41 (define @t270 () (or @t269 @t263)) % 194.16/194.41 (define @t271 () (forall @t266 @t270)) % 194.16/194.41 (define @t272 () (and @t271 @t267)) % 194.16/194.41 (define @t273 () (and @t269 @t264)) % 194.16/194.41 (define @t274 () (or @t273 @t263)) % 194.16/194.41 (define @t275 () (or @t263 @t273)) % 194.16/194.41 (define @t276 () (forall @t266 @t275)) % 194.16/194.41 (define @t277 () (not (= @t6 @t7))) % 194.16/194.41 (define @t278 () (and @t277 @t245)) % 194.16/194.41 (define @t279 () (not (= @t7 @t7))) % 194.16/194.41 (define @t280 () (or @t279 @t278)) % 194.16/194.41 (define @t281 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 194.16/194.41 (define @t282 () (and (not (= @t6 @t281)) (not (forall @t47 (or @t162 @t159 (_ @t8 @t6 @t281)))))) % 194.16/194.41 (define @t283 () (not (= @t7 @t281))) % 194.16/194.41 (define @t284 () (@list @t281)) % 194.16/194.41 (define @t285 () (or @t283 @t283 @t282)) % 194.16/194.41 (define @t286 () (or @t283 @t282)) % 194.16/194.41 (define @t287 () (forall @t284 @t286)) % 194.16/194.41 (define @t288 () (and @t235 @t233)) % 194.16/194.41 (define @t289 () (or @t182 @t288)) % 194.16/194.41 (define @t290 () (forall @t77 @t289)) % 194.16/194.41 (define @t291 () (@list @t38)) % 194.16/194.41 (define @t292 () (or @t147 @t288)) % 194.16/194.41 (define @t293 () (forall @t77 @t292)) % 194.16/194.41 (define @t294 () (and @t293 @t290)) % 194.16/194.41 (define @t295 () (or @t138 @t227)) % 194.16/194.41 (define @t296 () (or @t146 @t181)) % 194.16/194.41 (define @t297 () (not @t296)) % 194.16/194.41 (define @t298 () (and @t296 @t295)) % 194.16/194.41 (define @t299 () (forall @t77 (not @t298))) % 194.16/194.41 (define @t300 () (not @t299)) % 194.16/194.41 (define @t301 () (_ @t8 @t6 @t50)) % 194.16/194.41 (define @t302 () (= @t6 @t50)) % 194.16/194.41 (define @t303 () (@list @t50)) % 194.16/194.41 (define @t304 () (forall (@list @t104 @t106 @t38) (or @t160 (not (_ @t8 @t106 @t38)) (_ @t8 @t104 @t38)))) % 194.16/194.41 (define @t305 () (not @t304)) % 194.16/194.41 (define @t306 () (or @t305 @t159 @t301)) % 194.16/194.41 (define @t307 () (forall @t47 @t306)) % 194.16/194.41 (define @t308 () (or @t302 @t307)) % 194.16/194.41 (define @t309 () (lambda @t303 @t308)) % 194.16/194.41 (define @t310 () (forall @t47 (or @t305 @t159 (_ @t8 @t51 @t50)))) % 194.16/194.41 (define @t311 () (or (= @t51 @t50) @t310)) % 194.16/194.41 (define @t312 () (lambda (@list @t51 @t50) @t311)) % 194.16/194.41 (define @t313 () (_ (lambda @t54 @t311) @t1)) % 194.16/194.41 (define @t314 () (_ @t8 @t7 @t50)) % 194.16/194.41 (define @t315 () (= @t7 @t50)) % 194.16/194.41 (define @t316 () (or @t305 @t159 @t314)) % 194.16/194.41 (define @t317 () (forall @t47 @t316)) % 194.16/194.41 (define @t318 () (or @t315 @t317)) % 194.16/194.41 (define @t319 () (lambda @t303 @t318)) % 194.16/194.41 (define @t320 () (_ @t313 @t7)) % 194.16/194.41 (define @t321 () (_ @t320 @t38)) % 194.16/194.41 (define @t322 () (and @t321 (_ (_ @t313 @t6) @t38))) % 194.16/194.41 (define @t323 () (or (= @t50 @t51) @t310)) % 194.16/194.41 (define @t324 () (forall @t47 (or @t305 @t159 (_ @t8 @t51 @t6)))) % 194.16/194.41 (define @t325 () (or (= @t51 @t6) @t324)) % 194.16/194.41 (define @t326 () (lambda @t63 @t325)) % 194.16/194.41 (define @t327 () (or @t305 @t159 @t177)) % 194.16/194.41 (define @t328 () (forall @t47 @t327)) % 194.16/194.41 (define @t329 () (or @t32 @t328)) % 194.16/194.41 (define @t330 () (lambda @t63 @t328)) % 194.16/194.41 (define @t331 () (lambda @t12 @t328)) % 194.16/194.41 (define @t332 () (_ @t331 @t7)) % 194.16/194.41 (define @t333 () (or @t32 (_ @t332 @t6))) % 194.16/194.41 (define @t334 () (lambda @t12 @t333)) % 194.16/194.41 (define @t335 () (lambda @t18 @t328)) % 194.16/194.41 (define @t336 () (forall @t12 (or @t206 @t177))) % 194.16/194.41 (define @t337 () (not @t336)) % 194.16/194.41 (define @t338 () (forall @t42 (or (not @t177) (not @t226) @t180))) % 194.16/194.41 (define @t339 () (not @t338)) % 194.16/194.41 (define @t340 () (or @t339 @t337 @t9)) % 194.16/194.41 (define @t341 () (and @t338 @t336)) % 194.16/194.41 (define @t342 () (lambda @t47 @t336)) % 194.16/194.41 (define @t343 () (_ (lambda @t14 @t336) @t1)) % 194.16/194.41 (define @t344 () (_ @t1 @t6 @t38)) % 194.16/194.41 (define @t345 () (_ (lambda @t3 (forall @t42 (or @t206 (not @t344) @t207))) @t8)) % 194.16/194.41 (define @t346 () (and @t345 (_ @t343 @t8))) % 194.16/194.41 (define @t347 () (=> @t346 @t9)) % 194.16/194.41 (define @t348 () (or @t61 @t9)) % 194.16/194.41 (define @t349 () (not @t40)) % 194.16/194.41 (define @t350 () (or @t61 @t349 @t39)) % 194.16/194.41 (define @t351 () (or @t169 @t168 @t167)) % 194.16/194.41 (define @t352 () (or @t173 @t172 @t171)) % 194.16/194.41 (define @t353 () (or @t183 @t179 @t138 @t352 @t351 @t176)) % 194.16/194.41 (define @t354 () (forall @t185 @t353)) % 194.16/194.41 (define @t355 () (forall (@list @t170 @t166) @t353)) % 194.16/194.41 (define @t356 () (forall (@list @t166) @t351)) % 194.16/194.41 (define @t357 () (forall (@list @t170) @t352)) % 194.16/194.41 (define @t358 () (or @t183 @t179 @t138 @t357 @t356 @t176)) % 194.16/194.41 (define @t359 () (or @t183 @t179 @t138 @t227 @t225 @t176)) % 194.16/194.41 (define @t360 () (or @t32 @t178)) % 194.16/194.41 (define @t361 () (and @t296 @t360)) % 194.16/194.41 (define @t362 () (and @t296 @t329)) % 194.16/194.41 (define @t363 () (=> @t362 @t238)) % 194.16/194.41 (define @t364 () (and @t321 (_ @t320 @t6))) % 194.16/194.41 (define @t365 () (=> @t364 @t250)) % 194.16/194.41 (define @t366 () (@quantifiers_skolemize @t149 0)) % 194.16/194.41 (define @t367 () (not (_ @t97 (_ @t96 @t366 @t99) @t98))) % 194.16/194.41 (define @t368 () (not (forall @t102 (or @t367 @t114)))) % 194.16/194.41 (define @t369 () (forall @t148 (or (and @t147 (not (forall @t120 (or @t119 @t368 @t145)))) (and @t144 (not (forall @t120 (or @t143 @t368 @t140)))) @t138 (not (forall @t122 (or (not (forall @t120 (or @t121 @t368 @t137))) (not (forall @t120 (or @t119 @t368 @t136)))))) @t135 (not (forall @t102 (or @t367 @t133))) @t132 @t130 (not (forall @t102 (or @t367 @t128))) @t127))) % 194.16/194.41 (define @t370 () (@quantifiers_skolemize @t149 2)) % 194.16/194.41 (define @t371 () (@quantifiers_skolemize @t149 3)) % 194.16/194.41 (define @t372 () (@quantifiers_skolemize @t149 5)) % 194.16/194.41 (define @t373 () (_ @t97 (_ @t96 @t372 @t371) @t370)) % 194.16/194.41 (define @t374 () (forall @t102 (or @t367 (_ @t97 (_ @t96 @t372 @t99) @t98)))) % 194.16/194.41 (define @t375 () (not @t374)) % 194.16/194.41 (define @t376 () (_ @t96 @t372 @t104)) % 194.16/194.41 (define @t377 () (forall @t107 (or (not (_ @t97 @t376 @t106)) (not (_ @t97 (_ @t96 @t372 @t106) @t103)) (_ @t97 @t376 @t103)))) % 194.16/194.41 (define @t378 () (not @t377)) % 194.16/194.41 (define @t379 () (@quantifiers_skolemize @t149 4)) % 194.16/194.41 (define @t380 () (_ @t97 (_ @t96 @t379 @t370) @t371)) % 194.16/194.41 (define @t381 () (forall @t102 (or @t367 (_ @t97 (_ @t96 @t379 @t99) @t98)))) % 194.16/194.41 (define @t382 () (not @t381)) % 194.16/194.41 (define @t383 () (_ @t96 @t379 @t104)) % 194.16/194.41 (define @t384 () (forall @t111 (or (not (_ @t97 @t383 @t106)) (not (_ @t97 (_ @t96 @t379 @t106) @t109)) (_ @t97 @t383 @t109)))) % 194.16/194.41 (define @t385 () (not @t384)) % 194.16/194.41 (define @t386 () (forall @t122 (or (not (forall @t120 (or @t121 @t368 (_ @t97 (_ @t96 @t113 @t370) @t112)))) (not (forall @t120 (or @t119 @t368 (_ @t97 (_ @t96 @t113 @t371) @t112))))))) % 194.16/194.41 (define @t387 () (not @t386)) % 194.16/194.41 (define @t388 () (= @t370 @t371)) % 194.16/194.41 (define @t389 () (@quantifiers_skolemize @t149 1)) % 194.16/194.41 (define @t390 () (_ @t96 @t366 @t389)) % 194.16/194.41 (define @t391 () (_ @t97 @t390 @t370)) % 194.16/194.41 (define @t392 () (not @t391)) % 194.16/194.41 (define @t393 () (_ @t97 @t390 @t371)) % 194.16/194.41 (define @t394 () (not @t393)) % 194.16/194.41 (define @t395 () (not @t369)) % 194.16/194.41 (define @t396 () (or @t395 @t394 @t392 @t388 @t387 @t385 @t382 @t380 @t378 @t375 @t373)) % 194.16/194.41 (define @t397 () (@list true)) % 194.16/194.41 (define @t398 () (@list @t396)) % 194.16/194.41 (define @t399 () (_ @t96 @t113 @t389)) % 194.16/194.41 (define @t400 () (forall @t120 (or @t143 @t368 (_ @t97 @t399 @t370)))) % 194.16/194.41 (define @t401 () (@quantifiers_skolemize @t400 0)) % 194.16/194.41 (define @t402 () (forall @t102 (or @t367 (_ @t97 (_ @t96 @t401 @t99) @t98)))) % 194.16/194.41 (define @t403 () (_ @t97 (_ @t96 @t401 @t389) @t370)) % 194.16/194.41 (define @t404 () (not @t402)) % 194.16/194.41 (define @t405 () (_ @t96 @t401 @t104)) % 194.16/194.41 (define @t406 () (or (not (forall @t142 (or (not (_ @t97 @t405 @t106)) (not (_ @t97 (_ @t96 @t401 @t106) @t141)) (_ @t97 @t405 @t141)))) @t404 @t403)) % 194.16/194.41 (define @t407 () (or @t392 @t403)) % 194.16/194.41 (define @t408 () (@list true false true false)) % 194.16/194.41 (define @t409 () (not @t406)) % 194.16/194.41 (define @t410 () (not @t400)) % 194.16/194.41 (define @t411 () (@list false)) % 194.16/194.41 (define @t412 () (and (not (= @t389 @t370)) @t410)) % 194.16/194.41 (define @t413 () (not @t412)) % 194.16/194.41 (define @t414 () (forall @t120 (or @t119 @t368 (_ @t97 @t399 @t371)))) % 194.16/194.41 (define @t415 () (@quantifiers_skolemize @t414 0)) % 194.16/194.41 (define @t416 () (forall @t102 (or @t367 (_ @t97 (_ @t96 @t415 @t99) @t98)))) % 194.16/194.41 (define @t417 () (_ @t97 (_ @t96 @t415 @t389) @t371)) % 194.16/194.41 (define @t418 () (not @t416)) % 194.16/194.41 (define @t419 () (_ @t96 @t415 @t104)) % 194.16/194.41 (define @t420 () (or (not (forall @t107 (or (not (_ @t97 @t419 @t106)) (not (_ @t97 (_ @t96 @t415 @t106) @t103)) (_ @t97 @t419 @t103)))) @t418 @t417)) % 194.16/194.41 (define @t421 () (or @t394 @t417)) % 194.16/194.41 (define @t422 () (not @t420)) % 194.16/194.41 (define @t423 () (not @t414)) % 194.16/194.41 (define @t424 () (and (not (= @t389 @t371)) @t423)) % 194.16/194.41 (define @t425 () (not @t424)) % 194.16/194.41 (define @t426 () (or @t424 @t412 @t388 @t387 @t385 @t382 @t380 @t378 @t375 @t373)) % 194.16/194.41 (define @t427 () (not @t426)) % 194.16/194.41 (assume @p1 @t5) % 194.16/194.41 (assume @p2 true) % 194.16/194.41 (step @p3 (= tptp.subrel @t15) :rule refl :args (@t15)) % 194.16/194.41 (step @p4 (= tptp.inv @t19) :rule refl :args (@t19)) % 194.16/194.41 (step @p5 (= tptp.idem @t23) :rule refl :args (@t23)) % 194.16/194.41 (step @p6 (= tptp.infl @t25) :rule refl :args (@t25)) % 194.16/194.41 (step @p7 (= tptp.mono @t27) :rule refl :args (@t27)) % 194.16/194.41 (step @p8 (= tptp.refl @t30) :rule refl :args (@t30)) % 194.16/194.41 (step @p9 (= tptp.irrefl @t31) :rule refl :args (@t31)) % 194.16/194.41 (step @p10 (= tptp.rc @t33) :rule refl :args (@t33)) % 194.16/194.41 (step @p11 (= tptp.symm @t34) :rule refl :args (@t34)) % 194.16/194.41 (step @p12 (= tptp.antisymm @t35) :rule refl :args (@t35)) % 194.16/194.41 (step @p13 (= tptp.asymm @t36) :rule refl :args (@t36)) % 194.16/194.41 (step @p14 (= tptp.sc @t37) :rule refl :args (@t37)) % 194.16/194.41 (step @p15 (= tptp.trans @t44) :rule refl :args (@t44)) % 194.16/194.41 (step @p16 (= tptp.tc @t49) :rule refl :args (@t49)) % 194.16/194.41 (step @p17 (= tptp.trc @t55) :rule refl :args (@t55)) % 194.16/194.41 (step @p18 (= tptp.trsc @t56) :rule refl :args (@t56)) % 194.16/194.41 (step @p19 (= tptp.po @t58) :rule refl :args (@t58)) % 194.16/194.41 (step @p20 (= tptp.so @t59) :rule refl :args (@t59)) % 194.16/194.41 (step @p21 (= tptp.total @t60) :rule refl :args (@t60)) % 194.16/194.41 (step @p22 (= tptp.term @t65) :rule refl :args (@t65)) % 194.16/194.41 (step @p23 (= tptp.ind @t68) :rule refl :args (@t68)) % 194.16/194.41 (step @p24 (= tptp.innf @t69) :rule refl :args (@t69)) % 194.16/194.41 (step @p25 (= tptp.nfof @t72) :rule refl :args (@t72)) % 194.16/194.41 (step @p26 (= tptp.norm @t73) :rule refl :args (@t73)) % 194.16/194.41 (step @p27 (= tptp.join @t79) :rule refl :args (@t79)) % 194.16/194.41 (step @p28 (= tptp.lconfl @t85) :rule refl :args (@t85)) % 194.16/194.41 (step @p29 (= tptp.sconfl @t87) :rule refl :args (@t87)) % 194.16/194.41 (step @p30 (= tptp.confl @t91) :rule refl :args (@t91)) % 194.16/194.41 (step @p31 (= tptp.cr @t92) :rule refl :args (@t92)) % 194.16/194.41 ; WARNING: add trust step for TRUST % 194.16/194.41 ; trust TRUST PREPROCESS_HO_ELIM % 194.16/194.41 (step @p32 :rule trust :premises () :args ((= (not (forall @t189 @t188)) (not @t149)))) % 194.16/194.41 (step @p33 :rule aci_norm :args ((= @t191 @t188))) % 194.16/194.41 (step @p34 :rule cong :premises (@p33) :args (@t192)) % 194.16/194.41 (step @p35 :rule quant-merge-prenex :args ((= (forall @t3 @t194) @t192))) % 194.16/194.41 (step @p36 :rule alpha_equiv :args (@t195 (@list @t124 @t93 @t94 @t155 @t150) (@list @t7 @t6 @t38 @t197 @t196))) % 194.16/194.41 (step @p37 :rule refl :args (@t187)) % 194.16/194.41 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t198)) % 194.16/194.41 (step @p39 :rule quant-miniscope-or :args ((= @t194 @t198))) % 194.16/194.41 (step @p40 :rule trans :premises (@p39 @p38)) % 194.16/194.41 (step @p41 :rule symm :premises (@p40)) % 194.16/194.41 (step @p42 :rule cong :premises (@p41) :args ((forall @t3 (or @t187 @t211)))) % 194.16/194.41 (step @p43 :rule trans :premises (@p42 @p35)) % 194.16/194.41 (step @p44 :rule trans :premises (@p43 @p34)) % 194.16/194.41 (step @p45 :rule bool-impl-elim :args (@t186 @t211)) % 194.16/194.41 (step @p46 :rule cong :premises (@p45) :args ((forall @t3 (=> @t186 @t211)))) % 194.16/194.41 (step @p47 :rule trans :premises (@p46 @p44)) % 194.16/194.41 (step @p48 :rule beta-reduce :args ((= @t212 @t211))) % 194.16/194.41 (step @p49 :rule beta-reduce :args ((= @t213 @t186))) % 194.16/194.41 (step @p50 :rule cong :premises (@p49 @p48) :args (@t214)) % 194.16/194.41 (step @p51 :rule cong :premises (@p50) :args (@t215)) % 194.16/194.41 (step @p52 :rule trans :premises (@p51 @p47)) % 194.16/194.41 (step @p53 :rule cong :premises (@p52) :args ((not @t215))) % 194.16/194.41 (step @p54 :rule refl :args (@t1)) % 194.16/194.41 (step @p55 :rule aci_norm :args ((= @t218 @t209))) % 194.16/194.41 (step @p56 :rule cong :premises (@p55) :args (@t219)) % 194.16/194.41 (step @p57 :rule quant-merge-prenex :args ((= (forall @t42 @t220) @t219))) % 194.16/194.41 (step @p58 :rule refl :args (@t176)) % 194.16/194.41 (step @p59 :rule alpha_equiv :args (@t221 (@list @t196) @t222)) % 194.16/194.41 (step @p60 :rule alpha_equiv :args (@t223 (@list @t197) @t222)) % 194.16/194.41 (step @p61 :rule refl :args (@t138)) % 194.16/194.41 (step @p62 :rule refl :args (@t206)) % 194.16/194.41 (step @p63 :rule refl :args (@t208)) % 194.16/194.41 (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p59 @p58) :args (@t224)) % 194.16/194.41 (step @p65 :rule quant-miniscope-or :args ((= @t220 @t224))) % 194.16/194.41 (step @p66 :rule trans :premises (@p65 @p64)) % 194.16/194.41 (step @p67 :rule symm :premises (@p66)) % 194.16/194.41 (step @p68 :rule cong :premises (@p67) :args ((forall @t42 (or @t208 @t206 @t138 @t227 @t225 @t176)))) % 194.16/194.41 (step @p69 :rule trans :premises (@p68 @p57)) % 194.16/194.41 (step @p70 :rule trans :premises (@p69 @p56)) % 194.16/194.41 (step @p71 :rule refl :args (@t225)) % 194.16/194.41 (step @p72 :rule refl :args (@t227)) % 194.16/194.41 (step @p73 :rule refl :args (@t205)) % 194.16/194.41 (step @p74 :rule refl :args (@t11)) % 194.16/194.41 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t11 @t205))) % 194.16/194.41 (step @p76 :rule symm :premises (@p75)) % 194.16/194.41 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 194.16/194.41 (step @p78 :rule cong :premises (@p77) :args (@t61)) % 194.16/194.41 (step @p79 :rule refl :args (@t207)) % 194.16/194.41 (step @p80 :rule refl :args (@t39)) % 194.16/194.41 (step @p81 :rule cong :premises (@p80 @p79) :args ((= @t39 @t207))) % 194.16/194.41 (step @p82 :rule symm :premises (@p81)) % 194.16/194.41 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 194.16/194.41 (step @p84 :rule cong :premises (@p83) :args (@t228)) % 194.16/194.41 (step @p85 :rule nary_cong :premises (@p84 @p78 @p61 @p72 @p71 @p58) :args (@t229)) % 194.16/194.41 (step @p86 :rule cong :premises (@p85) :args ((forall @t42 @t229))) % 194.16/194.41 (step @p87 :rule trans :premises (@p86 @p70)) % 194.16/194.41 (step @p88 :rule aci_norm :args ((= (or (or @t228 @t61) @t230) @t229))) % 194.16/194.41 (step @p89 :rule bool-double-not-elim :args (@t225)) % 194.16/194.41 (step @p90 :rule bool-double-not-elim :args (@t227)) % 194.16/194.41 (step @p91 :rule bool-double-not-elim :args (@t138)) % 194.16/194.41 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p58) :args (@t237)) % 194.16/194.41 (step @p93 :rule aci_norm :args ((= (or @t236 (or @t234 (or @t232 @t176))) @t237))) % 194.16/194.41 (step @p94 :rule trans :premises (@p93 @p92)) % 194.16/194.41 (step @p95 :rule bool-and-de-morgan :args (@t231 @t175 true)) % 194.16/194.41 (step @p96 :rule refl :args (@t234)) % 194.16/194.41 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t234 (not (and @t231 @t175))))) % 194.16/194.41 (step @p98 :rule bool-and-de-morgan :args (@t233 @t231 (and @t175))) % 194.16/194.41 (step @p99 :rule trans :premises (@p98 @p97)) % 194.16/194.41 (step @p100 :rule refl :args (@t236)) % 194.16/194.41 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t236 (not (and @t233 @t231 @t175))))) % 194.16/194.41 (step @p102 :rule bool-and-de-morgan :args (@t235 @t233 (and @t231 @t175))) % 194.16/194.41 (step @p103 :rule trans :premises (@p102 @p101)) % 194.16/194.41 (step @p104 :rule trans :premises (@p103 @p94)) % 194.16/194.41 (step @p105 :rule bool-and-de-morgan :args (@t39 @t11 true)) % 194.16/194.41 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t82) @t238))) % 194.16/194.41 (step @p107 :rule trans :premises (@p106 @p88)) % 194.16/194.41 (step @p108 :rule bool-impl-elim :args (@t82 @t238)) % 194.16/194.41 (step @p109 :rule trans :premises (@p108 @p107)) % 194.16/194.41 (step @p110 :rule cong :premises (@p109) :args ((forall @t42 (=> @t82 @t238)))) % 194.16/194.41 (step @p111 :rule trans :premises (@p110 @p87)) % 194.16/194.41 (step @p112 :rule beta-reduce :args ((= (_ (lambda @t63 @t238) @t6) @t238))) % 194.16/194.41 (step @p113 :rule refl :args (@t6)) % 194.16/194.41 (step @p114 :rule refl :args (@t175)) % 194.16/194.41 (step @p115 :rule refl :args (@t231)) % 194.16/194.41 (step @p116 :rule refl :args (@t233)) % 194.16/194.41 (step @p117 :rule eq-symm :args (@t38 @t6)) % 194.16/194.41 (step @p118 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194.16/194.41 (step @p352 :rule ho_cong :premises (@p351 @p113)) % 194.16/194.41 (step @p353 :rule ho_cong :premises (@p352 @p124)) % 194.16/194.41 (step @p354 :rule ho_cong :premises (@p351 @p241)) % 194.16/194.41 (step @p355 :rule ho_cong :premises (@p354 @p124)) % 194.16/194.41 (step @p356 :rule nary_cong :premises (@p355 @p353) :args (@t76)) % 194.16/194.41 (step @p357 :rule cong :premises (@p356) :args (@t78)) % 194.16/194.41 (step @p358 :rule trans :premises (@p357 @p248)) % 194.16/194.41 (step @p359 :rule cong :premises (@p358) :args (@t79)) % 194.16/194.41 (step @p360 :rule trans :premises (@p27 @p359)) % 194.16/194.41 (step @p361 :rule ho_cong :premises (@p360 @p54)) % 194.16/194.41 (step @p362 :rule ho_cong :premises (@p361 @p124)) % 194.16/194.41 (step @p363 :rule ho_cong :premises (@p362 @p113)) % 194.16/194.41 (step @p364 :rule cong :premises (@p130 @p363) :args (@t83)) % 194.16/194.41 (step @p365 :rule cong :premises (@p364) :args (@t84)) % 194.16/194.41 (step @p366 :rule trans :premises (@p365 @p133)) % 194.16/194.41 (step @p367 :rule cong :premises (@p366) :args (@t85)) % 194.16/194.41 (step @p368 :rule trans :premises (@p28 @p367)) % 194.16/194.41 (step @p369 :rule ho_cong :premises (@p368 @p54)) % 194.16/194.41 (step @p370 :rule aci_norm :args ((= @t353 @t184))) % 194.16/194.41 (step @p371 :rule cong :premises (@p370) :args (@t354)) % 194.16/194.41 (step @p372 :rule quant-merge-prenex :args ((= (forall @t42 @t355) @t354))) % 194.16/194.41 (step @p373 :rule alpha_equiv :args (@t356 (@list @t166) @t222)) % 194.16/194.41 (step @p374 :rule alpha_equiv :args (@t357 (@list @t170) @t222)) % 194.16/194.41 (step @p375 :rule refl :args (@t179)) % 194.16/194.41 (step @p376 :rule refl :args (@t183)) % 194.16/194.41 (step @p377 :rule nary_cong :premises (@p376 @p375 @p61 @p374 @p373 @p58) :args (@t358)) % 194.16/194.41 (step @p378 :rule quant-miniscope-or :args ((= @t355 @t358))) % 194.16/194.41 (step @p379 :rule trans :premises (@p378 @p377)) % 194.16/194.41 (step @p380 :rule symm :premises (@p379)) % 194.16/194.41 (step @p381 :rule cong :premises (@p380) :args ((forall @t42 @t359))) % 194.16/194.41 (step @p382 :rule trans :premises (@p381 @p372)) % 194.16/194.41 (step @p383 :rule trans :premises (@p382 @p371)) % 194.16/194.41 (step @p384 :rule aci_norm :args ((= (or (or @t183 @t179) @t230) @t359))) % 194.16/194.41 (step @p385 :rule bool-or-de-morgan :args (@t32 @t178 false)) % 194.16/194.41 (step @p386 :rule nary_cong :premises (@p201 @p385) :args ((or @t297 (not @t360)))) % 194.16/194.41 (step @p387 :rule bool-and-de-morgan :args (@t296 @t360 true)) % 194.16/194.41 (step @p388 :rule trans :premises (@p387 @p386)) % 194.16/194.41 (step @p389 :rule nary_cong :premises (@p388 @p104) :args ((or (not @t361) @t238))) % 194.16/194.41 (step @p390 :rule trans :premises (@p389 @p384)) % 194.16/194.41 (step @p391 :rule bool-impl-elim :args (@t361 @t238)) % 194.16/194.41 (step @p392 :rule trans :premises (@p391 @p390)) % 194.16/194.41 (step @p393 :rule cong :premises (@p392) :args ((forall @t42 (=> @t361 @t238)))) % 194.16/194.41 (step @p394 :rule trans :premises (@p393 @p383)) % 194.16/194.41 (step @p395 :rule refl :args (@t238)) % 194.16/194.41 (step @p396 :rule refl :args (@t177)) % 194.16/194.41 (step @p397 :rule alpha_equiv :args (@t304 @t291 (@list @t141))) % 194.16/194.41 (step @p398 :rule cong :premises (@p397) :args (@t305)) % 194.16/194.41 (step @p399 :rule nary_cong :premises (@p398 @p213 @p396) :args (@t327)) % 194.16/194.41 (step @p400 :rule cong :premises (@p399) :args (@t328)) % 194.16/194.41 (step @p401 :rule refl :args (@t32)) % 194.16/194.41 (step @p402 :rule nary_cong :premises (@p401 @p400) :args (@t329)) % 194.16/194.41 (step @p403 :rule refl :args (@t296)) % 194.16/194.41 (step @p404 :rule nary_cong :premises (@p403 @p402) :args (@t362)) % 194.16/194.41 (step @p405 :rule cong :premises (@p404 @p395) :args (@t363)) % 194.16/194.41 (step @p406 :rule cong :premises (@p405) :args ((forall @t42 @t363))) % 194.16/194.41 (step @p407 :rule trans :premises (@p406 @p394)) % 194.16/194.41 (step @p408 :rule beta-reduce :args ((= (_ @t319 @t6) @t329))) % 194.16/194.41 (step @p409 :rule ho_cong :premises (@p243 @p113)) % 194.16/194.41 (step @p410 :rule trans :premises (@p409 @p408)) % 194.16/194.41 (step @p411 :rule nary_cong :premises (@p245 @p410) :args (@t364)) % 194.16/194.41 (step @p412 :rule cong :premises (@p411 @p129) :args (@t365)) % 194.16/194.41 (step @p413 :rule cong :premises (@p412) :args ((forall @t42 @t365))) % 194.16/194.41 (step @p414 :rule trans :premises (@p413 @p407)) % 194.16/194.41 (step @p415 :rule ho_cong :premises (@p354 @p113)) % 194.16/194.41 (step @p416 :rule nary_cong :premises (@p355 @p415) :args (@t88)) % 194.16/194.41 (step @p417 :rule cong :premises (@p416 @p363) :args (@t89)) % 194.16/194.41 (step @p418 :rule cong :premises (@p417) :args (@t90)) % 194.16/194.41 (step @p419 :rule trans :premises (@p418 @p414)) % 194.16/194.41 (step @p420 :rule cong :premises (@p419) :args (@t91)) % 194.16/194.41 (step @p421 :rule trans :premises (@p30 @p420)) % 194.16/194.41 (step @p422 :rule ho_cong :premises (@p421 @p54)) % 194.16/194.41 (step @p423 :rule cong :premises (@p422 @p369) :args (@t2)) % 194.16/194.41 (step @p424 :rule cong :premises (@p423) :args (@t4)) % 194.16/194.41 (step @p425 :rule cong :premises (@p424) :args (@t5)) % 194.16/194.41 (step @p426 :rule trans :premises (@p425 @p53)) % 194.16/194.41 (step @p427 :rule trans :premises (@p426 @p32)) % 194.16/194.41 (step @p428 :rule eq_resolve :premises (@p1 @p427)) % 194.16/194.41 (step @p429 :rule skolemize :premises (@p428)) % 194.16/194.41 (step @p430 :rule bool-double-not-elim :args (@t369)) % 194.16/194.41 (step @p431 :rule refl :args (@t396)) % 194.16/194.41 (step @p432 :rule nary_cong :premises (@p431 @p430) :args ((or @t396 (not @t395)))) % 194.16/194.41 (step @p433 :rule cnf_or_neg :args (@t396 0)) % 194.16/194.41 (step @p434 :rule eq_resolve :premises (@p433 @p432)) % 194.16/194.41 (step @p435 :rule reordering :premises (@p434) :args ((or @t369 @t396))) % 194.16/194.41 (step @p436 :rule chain_m_resolution :premises (@p435 @p429) :args (@t369 @t397 @t398)) % 194.16/194.41 (step @p437 :rule bool-double-not-elim :args (@t402)) % 194.16/194.41 (step @p438 :rule refl :args (@t406)) % 194.16/194.41 (step @p439 :rule nary_cong :premises (@p438 @p437) :args ((or @t406 (not @t404)))) % 194.16/194.41 (step @p440 :rule cnf_or_neg :args (@t406 1)) % 194.16/194.41 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 194.16/194.41 (step @p442 :rule reordering :premises (@p441) :args ((or @t402 @t406))) % 194.16/194.41 (step @p443 :rule cnf_or_neg :args (@t406 2)) % 194.16/194.41 (step @p444 :rule bool-double-not-elim :args (@t391)) % 194.16/194.41 (step @p445 :rule nary_cong :premises (@p431 @p444) :args ((or @t396 (not @t392)))) % 194.16/194.41 (step @p446 :rule cnf_or_neg :args (@t396 2)) % 194.16/194.41 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 194.16/194.41 (step @p448 :rule reordering :premises (@p447) :args ((or @t391 @t396))) % 194.16/194.41 (step @p449 :rule chain_m_resolution :premises (@p448 @p429) :args (@t391 @t397 @t398)) % 194.16/194.41 (step @p450 :rule cnf_or_pos :args (@t407)) % 194.16/194.41 (step @p451 :rule reordering :premises (@p450) :args ((or @t392 @t403 (not @t407)))) % 194.16/194.41 (assume-push @p550 @t402) % 194.16/194.41 (step @p453 :rule instantiate :premises (@p550) :args ((@list @t389 @t370))) % 194.16/194.41 (step-pop @p551 :rule scope :premises (@p453)) % 194.16/194.41 (step @p454 :rule process_scope :premises (@p551) :args (@t407)) % 194.16/194.41 (step @p456 :rule implies_elim :premises (@p454)) % 194.16/194.41 (step @p457 :rule chain_m_resolution :premises (@p456 @p451 @p449 @p443 @p442) :args (@t406 @t408 (@list @t407 @t391 @t403 @t402))) % 194.16/194.41 (step @p458 :rule refl :args (@t409)) % 194.16/194.41 (step @p459 :rule bool-double-not-elim :args (@t400)) % 194.16/194.41 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or (not @t410) @t409))) % 194.16/194.41 (assume-push @p552 @t410) % 194.16/194.41 (step @p462 :rule skolemize :premises (@p552)) % 194.16/194.41 (step-pop @p553 :rule scope :premises (@p462)) % 194.16/194.41 (step @p463 :rule process_scope :premises (@p553) :args (@t409)) % 194.16/194.41 (step @p465 :rule implies_elim :premises (@p463)) % 194.16/194.41 (step @p466 :rule eq_resolve :premises (@p465 @p460)) % 194.16/194.41 (step @p467 :rule chain_m_resolution :premises (@p466 @p457) :args (@t400 @t411 (@list @t406))) % 194.16/194.41 (step @p468 :rule cnf_and_pos :args (@t412 1)) % 194.16/194.41 (step @p469 :rule reordering :premises (@p468) :args ((or @t410 @t413))) % 194.16/194.41 (step @p470 :rule chain_m_resolution :premises (@p469 @p467) :args (@t413 @t411 (@list @t400))) % 194.16/194.41 (step @p471 :rule bool-double-not-elim :args (@t416)) % 194.16/194.41 (step @p472 :rule refl :args (@t420)) % 194.16/194.41 (step @p473 :rule nary_cong :premises (@p472 @p471) :args ((or @t420 (not @t418)))) % 194.16/194.41 (step @p474 :rule cnf_or_neg :args (@t420 1)) % 194.16/194.41 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 194.16/194.41 (step @p476 :rule reordering :premises (@p475) :args ((or @t416 @t420))) % 194.16/194.41 (step @p477 :rule cnf_or_neg :args (@t420 2)) % 194.16/194.41 (step @p478 :rule bool-double-not-elim :args (@t393)) % 194.16/194.41 (step @p479 :rule nary_cong :premises (@p431 @p478) :args ((or @t396 (not @t394)))) % 194.16/194.41 (step @p480 :rule cnf_or_neg :args (@t396 1)) % 194.16/194.41 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 194.16/194.41 (step @p482 :rule reordering :premises (@p481) :args ((or @t393 @t396))) % 194.16/194.41 (step @p483 :rule chain_m_resolution :premises (@p482 @p429) :args (@t393 @t397 @t398)) % 194.16/194.41 (step @p484 :rule cnf_or_pos :args (@t421)) % 194.16/194.41 (step @p485 :rule reordering :premises (@p484) :args ((or @t394 @t417 (not @t421)))) % 194.16/194.41 (assume-push @p554 @t416) % 194.16/194.41 (step @p487 :rule instantiate :premises (@p554) :args ((@list @t389 @t371))) % 194.16/194.41 (step-pop @p555 :rule scope :premises (@p487)) % 194.16/194.41 (step @p488 :rule process_scope :premises (@p555) :args (@t421)) % 194.16/194.41 (step @p490 :rule implies_elim :premises (@p488)) % 194.16/194.41 (step @p491 :rule chain_m_resolution :premises (@p490 @p485 @p483 @p477 @p476) :args (@t420 @t408 (@list @t421 @t393 @t417 @t416))) % 194.16/194.41 (step @p492 :rule refl :args (@t422)) % 194.16/194.41 (step @p493 :rule bool-double-not-elim :args (@t414)) % 194.16/194.41 (step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or (not @t423) @t422))) % 194.16/194.41 (assume-push @p556 @t423) % 194.16/194.41 (step @p496 :rule skolemize :premises (@p556)) % 194.16/194.41 (step-pop @p557 :rule scope :premises (@p496)) % 194.16/194.41 (step @p497 :rule process_scope :premises (@p557) :args (@t422)) % 194.16/194.41 (step @p499 :rule implies_elim :premises (@p497)) % 194.16/194.41 (step @p500 :rule eq_resolve :premises (@p499 @p494)) % 194.16/194.41 (step @p501 :rule chain_m_resolution :premises (@p500 @p491) :args (@t414 @t411 (@list @t420))) % 194.16/194.41 (step @p502 :rule cnf_and_pos :args (@t424 1)) % 194.16/194.41 (step @p503 :rule reordering :premises (@p502) :args ((or @t423 @t425))) % 194.16/194.41 (step @p504 :rule chain_m_resolution :premises (@p503 @p501) :args (@t425 @t411 (@list @t414))) % 194.16/194.41 (step @p505 :rule cnf_or_neg :args (@t396 10)) % 194.16/194.41 (step @p506 :rule chain_m_resolution :premises (@p505 @p429) :args ((not @t373) @t397 @t398)) % 194.16/194.41 (step @p507 :rule bool-double-not-elim :args (@t374)) % 194.16/194.41 (step @p508 :rule nary_cong :premises (@p431 @p507) :args ((or @t396 (not @t375)))) % 194.16/194.41 (step @p509 :rule cnf_or_neg :args (@t396 9)) % 194.16/194.42 (step @p510 :rule eq_resolve :premises (@p509 @p508)) % 194.16/194.42 (step @p511 :rule reordering :premises (@p510) :args ((or @t374 @t396))) % 194.16/194.42 (step @p512 :rule chain_m_resolution :premises (@p511 @p429) :args (@t374 @t397 @t398)) % 194.16/194.42 (step @p513 :rule bool-double-not-elim :args (@t377)) % 194.16/194.42 (step @p514 :rule nary_cong :premises (@p431 @p513) :args ((or @t396 (not @t378)))) % 194.16/194.42 (step @p515 :rule cnf_or_neg :args (@t396 8)) % 194.16/194.42 (step @p516 :rule eq_resolve :premises (@p515 @p514)) % 194.16/194.42 (step @p517 :rule reordering :premises (@p516) :args ((or @t377 @t396))) % 194.16/194.42 (step @p518 :rule chain_m_resolution :premises (@p517 @p429) :args (@t377 @t397 @t398)) % 194.16/194.42 (step @p519 :rule cnf_or_neg :args (@t396 7)) % 194.16/194.42 (step @p520 :rule chain_m_resolution :premises (@p519 @p429) :args ((not @t380) @t397 @t398)) % 194.16/194.42 (step @p521 :rule bool-double-not-elim :args (@t381)) % 194.16/194.42 (step @p522 :rule nary_cong :premises (@p431 @p521) :args ((or @t396 (not @t382)))) % 194.16/194.42 (step @p523 :rule cnf_or_neg :args (@t396 6)) % 194.16/194.42 (step @p524 :rule eq_resolve :premises (@p523 @p522)) % 194.16/194.42 (step @p525 :rule reordering :premises (@p524) :args ((or @t381 @t396))) % 194.16/194.42 (step @p526 :rule chain_m_resolution :premises (@p525 @p429) :args (@t381 @t397 @t398)) % 194.16/194.42 (step @p527 :rule bool-double-not-elim :args (@t384)) % 194.16/194.42 (step @p528 :rule nary_cong :premises (@p431 @p527) :args ((or @t396 (not @t385)))) % 194.16/194.42 (step @p529 :rule cnf_or_neg :args (@t396 5)) % 194.16/194.42 (step @p530 :rule eq_resolve :premises (@p529 @p528)) % 194.16/194.42 (step @p531 :rule reordering :premises (@p530) :args ((or @t384 @t396))) % 194.16/194.42 (step @p532 :rule chain_m_resolution :premises (@p531 @p429) :args (@t384 @t397 @t398)) % 194.16/194.42 (step @p533 :rule bool-double-not-elim :args (@t386)) % 194.16/194.42 (step @p534 :rule nary_cong :premises (@p431 @p533) :args ((or @t396 (not @t387)))) % 194.16/194.42 (step @p535 :rule cnf_or_neg :args (@t396 4)) % 194.16/194.42 (step @p536 :rule eq_resolve :premises (@p535 @p534)) % 194.16/194.42 (step @p537 :rule reordering :premises (@p536) :args ((or @t386 @t396))) % 194.16/194.42 (step @p538 :rule chain_m_resolution :premises (@p537 @p429) :args (@t386 @t397 @t398)) % 194.16/194.42 (step @p539 :rule cnf_or_neg :args (@t396 3)) % 194.16/194.42 (step @p540 :rule chain_m_resolution :premises (@p539 @p429) :args ((not @t388) @t397 @t398)) % 194.16/194.42 (step @p541 :rule cnf_or_pos :args (@t426)) % 194.16/194.42 (step @p542 :rule reordering :premises (@p541) :args ((or @t388 @t387 @t385 @t382 @t380 @t378 @t375 @t373 @t424 @t412 @t427))) % 194.16/194.42 (step @p543 :rule chain_m_resolution :premises (@p542 @p540 @p538 @p532 @p526 @p520 @p518 @p512 @p506 @p504 @p470) :args (@t427 (@list true false false false true false false true true true) (@list @t388 @t386 @t384 @t381 @t380 @t377 @t374 @t373 @t424 @t412))) % 194.16/194.42 (assume-push @p558 @t369) % 194.16/194.42 (step @p545 :rule instantiate :premises (@p436) :args ((@list @t389 @t370 @t371 @t379 @t372))) % 194.16/194.42 (step-pop @p559 :rule scope :premises (@p545)) % 194.16/194.42 (step @p546 :rule process_scope :premises (@p559) :args (@t426)) % 194.16/194.42 (step @p548 :rule implies_elim :premises (@p546)) % 194.16/194.42 (step @p549 false :rule chain_m_resolution :premises (@p548 @p543 @p436) :args (false (@list true false) (@list @t426 @t369))) % 194.16/194.42 ) % 194.16/194.42 % SZS output end Proof % 194.16/194.42 % cvc5 exiting %------------------------------------------------------------------------------