%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP076^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:24:59 AM UTC 2026 % Result : Theorem 0.43s 0.94s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP076^1 : TPTP v9.2.1. Released v7.5.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:13:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.39/0.58 %----Proving TH0 % 0.43/0.94 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.94 % SZS status Theorem % 0.43/0.94 % SZS output start Proof % 0.43/0.94 ( % 0.43/0.94 (declare-sort tptp.nat 0) % 0.43/0.94 (declare-sort tptp.hF_Mirabelle_hf 0) % 0.43/0.94 (declare-sort tptp.set_nat 0) % 0.43/0.94 (declare-sort tptp.set_HF_Mirabelle_hf 0) % 0.43/0.94 (declare-const tptp.zero_z189798548lle_hf tptp.hF_Mirabelle_hf) % 0.43/0.94 (declare-const tptp.insert9649339lle_hf (-> tptp.hF_Mirabelle_hf tptp.set_HF_Mirabelle_hf tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_HF (-> tptp.set_HF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_hfset (-> tptp.hF_Mirabelle_hf tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.member1367349282lle_hf (-> tptp.hF_Mirabelle_hf tptp.set_HF_Mirabelle_hf Bool)) % 0.43/0.94 (declare-const tptp.top_top_o Bool) % 0.43/0.94 (declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool)) % 0.43/0.94 (declare-const tptp.x tptp.hF_Mirabelle_hf) % 0.43/0.94 (declare-const tptp.r tptp.hF_Mirabelle_hf) % 0.43/0.94 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.43/0.94 (declare-const tptp.insert_nat (-> tptp.nat tptp.set_nat tptp.set_nat)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_hcard (-> tptp.hF_Mirabelle_hf tptp.nat)) % 0.43/0.94 (declare-const tptp.zero_zero_nat tptp.nat) % 0.43/0.94 (declare-const tptp.sup_su638957495lle_hf (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_Abs_hf (-> tptp.nat tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_RepFun (-> tptp.hF_Mirabelle_hf (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf) tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.sup_su1199008216e_hf_o (-> (-> tptp.hF_Mirabelle_hf Bool) (-> tptp.hF_Mirabelle_hf Bool) tptp.hF_Mirabelle_hf Bool)) % 0.43/0.94 (declare-const tptp.top_top_set_nat tptp.set_nat) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_Replace (-> tptp.hF_Mirabelle_hf (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf Bool) tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.sup_sup_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) tptp.nat Bool)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_HUnion (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.inf_in956532509lle_hf (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mir1248913145eplace (-> tptp.hF_Mirabelle_hf (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf Bool) tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_hsnd (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_hfst (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_Rep_hf (-> tptp.hF_Mirabelle_hf tptp.nat)) % 0.43/0.94 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.43/0.94 (declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat)) % 0.43/0.94 (declare-const tptp.hF_Mir818139703ollect (-> (-> tptp.hF_Mirabelle_hf Bool) tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.hF_Mir1653039215strict (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.collec2046588256lle_hf (-> (-> tptp.hF_Mirabelle_hf Bool) tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.top_to489427057lle_hf tptp.set_HF_Mirabelle_hf) % 0.43/0.94 (declare-const tptp.sup_su1790843629lle_hf (-> tptp.set_HF_Mirabelle_hf tptp.set_HF_Mirabelle_hf tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.sup_sup_set_nat (-> tptp.set_nat tptp.set_nat tptp.set_nat)) % 0.43/0.94 (declare-const tptp.hF_Mirabelle_HInter (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.inf_inf_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) tptp.nat Bool)) % 0.43/0.94 (declare-const tptp.inf_inf_set_nat (-> tptp.set_nat tptp.set_nat tptp.set_nat)) % 0.43/0.94 (declare-const tptp.inf_in923488851lle_hf (-> tptp.set_HF_Mirabelle_hf tptp.set_HF_Mirabelle_hf tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (declare-const tptp.inf_in307783154e_hf_o (-> (-> tptp.hF_Mirabelle_hf Bool) (-> tptp.hF_Mirabelle_hf Bool) tptp.hF_Mirabelle_hf Bool)) % 0.43/0.94 (define tptp.hF_Mirabelle_hmem () (let ((_let_1 (@var "B3" tptp.hF_Mirabelle_hf))) (let ((_let_2 (@var "A4" tptp.hF_Mirabelle_hf))) (lambda (@list _let_2 _let_1) (_ (_ tptp.member1367349282lle_hf _let_2) (_ tptp.hF_Mirabelle_hfset _let_1)))))) % 0.43/0.94 (define tptp.hF_Mirabelle_hinsert () (let ((_let_1 (@var "B3" tptp.hF_Mirabelle_hf))) (let ((_let_2 (@var "A4" tptp.hF_Mirabelle_hf))) (lambda (@list _let_2 _let_1) (_ tptp.hF_Mirabelle_HF (_ (_ tptp.insert9649339lle_hf _let_2) (_ tptp.hF_Mirabelle_hfset _let_1))))))) % 0.43/0.94 (define tptp.hF_Mirabelle_hpair () (let ((_let_1 (@var "B3" tptp.hF_Mirabelle_hf))) (let ((_let_2 (@var "A4" tptp.hF_Mirabelle_hf))) (let ((_let_3 (_ tptp.hF_Mirabelle_hinsert _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.hF_Mirabelle_hinsert (_ _let_3 tptp.zero_z189798548lle_hf)) (_ (_ tptp.hF_Mirabelle_hinsert (_ _let_3 (_ (_ tptp.hF_Mirabelle_hinsert _let_1) tptp.zero_z189798548lle_hf))) tptp.zero_z189798548lle_hf))))))) % 0.43/0.94 (define tptp.hF_Mir199975595nction () (let ((_let_1 (@var "Y2" tptp.hF_Mirabelle_hf))) (let ((_let_2 (@var "Y" tptp.hF_Mirabelle_hf))) (let ((_let_3 (@var "R2" tptp.hF_Mirabelle_hf))) (let ((_let_4 (@var "X2" tptp.hF_Mirabelle_hf))) (let ((_let_5 (_ tptp.hF_Mirabelle_hpair _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2) (=> (_ (_ tptp.hF_Mirabelle_hmem (_ _let_5 _let_2)) _let_3) (forall (@list _let_1) (=> (_ (_ tptp.hF_Mirabelle_hmem (_ _let_5 _let_1)) _let_3) (= _let_2 _let_1)))))))))))) % 0.43/0.94 (define tptp.hF_Mir137170979_hpair () (let ((_let_1 (@var "Y" tptp.hF_Mirabelle_hf))) (let ((_let_2 (@var "X2" tptp.hF_Mirabelle_hf))) (let ((_let_3 (@var "Z4" tptp.hF_Mirabelle_hf))) (lambda (@list _let_3) (exists (@list _let_2 _let_1) (= _let_3 (_ (_ tptp.hF_Mirabelle_hpair _let_2) _let_1)))))))) % 0.43/0.94 (define tptp.hF_Mir434065167lation () (let ((_let_1 (@var "Z4" tptp.hF_Mirabelle_hf))) (let ((_let_2 (@var "R2" tptp.hF_Mirabelle_hf))) (lambda (@list _let_2) (forall (@list _let_1) (=> (_ (_ tptp.hF_Mirabelle_hmem _let_1) _let_2) (_ tptp.hF_Mir137170979_hpair _let_1))))))) % 0.43/0.94 (define tptp.top_top_nat_o () (lambda (@list (@var "X2" tptp.nat)) tptp.top_top_o)) % 0.43/0.94 (define tptp.top_to22270292e_hf_o () (lambda (@list (@var "X2" tptp.hF_Mirabelle_hf)) tptp.top_top_o)) % 0.43/0.94 (define tptp.type_d1794767497hf_nat () (let ((_let_1 (@var "Y" tptp.nat))) (let ((_let_2 (@var "Abs2" (-> tptp.nat tptp.hF_Mirabelle_hf)))) (let ((_let_3 (@var "Rep2" (-> tptp.hF_Mirabelle_hf tptp.nat)))) (let ((_let_4 (@var "A6" tptp.set_nat))) (let ((_let_5 (@var "X2" tptp.hF_Mirabelle_hf))) (let ((_let_6 (_ _let_3 _let_5))) (let ((_let_7 (@list _let_5))) (lambda (@list _let_3 _let_2 _let_4) (and (forall _let_7 (_ (_ tptp.member_nat _let_6) _let_4)) (forall _let_7 (= (_ _let_2 _let_6) _let_5)) (forall (@list _let_1) (=> (_ (_ tptp.member_nat _let_1) _let_4) (= (_ _let_3 (_ _let_2 _let_1)) _let_1))))))))))))) % 0.43/0.94 (define @t1 () (@var "X" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t2 () (@var "R" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t3 () (_ tptp.hF_Mir1653039215strict @t2)) % 0.43/0.94 (define @t4 () (@var "A" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t5 () (@var "X2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t6 () (_ tptp.hF_Mirabelle_hmem @t5)) % 0.43/0.94 (define @t7 () (@var "Y" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t8 () (_ tptp.hF_Mirabelle_hpair @t5)) % 0.43/0.94 (define @t9 () (_ @t8 @t7)) % 0.43/0.94 (define @t10 () (@var "Z" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t11 () (= @t10 @t9)) % 0.43/0.94 (define @t12 () (and @t11 (_ @t6 @t4))) % 0.43/0.94 (define @t13 () (@list @t5 @t7)) % 0.43/0.94 (define @t14 () (exists @t13 @t12)) % 0.43/0.94 (define @t15 () (_ tptp.hF_Mirabelle_hmem @t10)) % 0.43/0.94 (define @t16 () (and (_ @t15 @t2) @t14)) % 0.43/0.94 (define @t17 () (_ @t3 @t4)) % 0.43/0.94 (define @t18 () (= (_ @t15 @t17) @t16)) % 0.43/0.94 (define @t19 () (@list @t10 @t2 @t4)) % 0.43/0.94 (define @t20 () (forall @t19 @t18)) % 0.43/0.94 (define @t21 () (@var "B2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t22 () (@var "B" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t23 () (= @t22 @t21)) % 0.43/0.94 (define @t24 () (@var "A3" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t25 () (@var "A2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t26 () (= @t25 @t24)) % 0.43/0.94 (define @t27 () (_ (_ tptp.hF_Mirabelle_hpair @t25) @t22)) % 0.43/0.94 (define @t28 () (= @t27 (_ (_ tptp.hF_Mirabelle_hpair @t24) @t21))) % 0.43/0.94 (define @t29 () (@list @t25 @t22 @t24 @t21)) % 0.43/0.94 (define @t30 () (@var "Y3" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t31 () (= @t1 @t30)) % 0.43/0.94 (define @t32 () (_ tptp.hF_Mirabelle_Rep_hf @t1)) % 0.43/0.94 (define @t33 () (@list @t1 @t30)) % 0.43/0.94 (define @t34 () (= @t25 @t22)) % 0.43/0.94 (define @t35 () (@var "X3" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t36 () (_ tptp.hF_Mirabelle_hmem @t35)) % 0.43/0.94 (define @t37 () (@list @t35)) % 0.43/0.94 (define @t38 () (@list @t25 @t22)) % 0.43/0.94 (define @t39 () (@var "B3" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t40 () (@var "A4" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t41 () (@list @t5)) % 0.43/0.94 (define @t42 () (@list @t40 @t39)) % 0.43/0.94 (define @t43 () (@var "Z2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t44 () (@var "Y4" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t45 () (_ tptp.hF_Mirabelle_hmem @t1)) % 0.43/0.94 (define @t46 () (_ @t45 @t30)) % 0.43/0.94 (define @t47 () (@var "V3" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t48 () (@var "U2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t49 () (@var "R3" (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t50 () (_ @t49 @t48)) % 0.43/0.94 (define @t51 () (_ tptp.hF_Mirabelle_hmem @t48)) % 0.43/0.94 (define @t52 () (_ @t51 @t1)) % 0.43/0.94 (define @t53 () (@list @t48)) % 0.43/0.94 (define @t54 () (@var "Z3" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t55 () (_ (_ tptp.hF_Mirabelle_hmem @t47) @t54)) % 0.43/0.94 (define @t56 () (@list @t47)) % 0.43/0.94 (define @t57 () (@list @t54)) % 0.43/0.94 (define @t58 () (@var "V" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t59 () (@var "V2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t60 () (@var "U" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t61 () (_ @t49 @t60)) % 0.43/0.94 (define @t62 () (=> (_ @t61 @t58) (=> (_ @t61 @t59) (= @t59 @t58)))) % 0.43/0.94 (define @t63 () (_ tptp.hF_Mirabelle_hmem @t60)) % 0.43/0.94 (define @t64 () (@list @t60 @t58 @t59)) % 0.43/0.94 (define @t65 () (@var "U3" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t66 () (_ tptp.hF_Mirabelle_hmem @t65)) % 0.43/0.94 (define @t67 () (_ @t66 @t1)) % 0.43/0.94 (define @t68 () (_ @t66 @t54)) % 0.43/0.94 (define @t69 () (@list @t65)) % 0.43/0.94 (define @t70 () (_ tptp.hF_Mirabelle_hmem @t7)) % 0.43/0.94 (define @t71 () (@list @t7)) % 0.43/0.94 (define @t72 () (@list @t1)) % 0.43/0.94 (define @t73 () (@var "P" (-> tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t74 () (@var "F" (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf))) % 0.43/0.94 (define @t75 () (_ @t74 @t48)) % 0.43/0.94 (define @t76 () (@var "V4" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t77 () (_ @t50 @t76)) % 0.43/0.94 (define @t78 () (_ @t51 @t4)) % 0.43/0.94 (define @t79 () (_ tptp.hF_Mirabelle_hmem @t76)) % 0.43/0.94 (define @t80 () (_ @t45 @t7)) % 0.43/0.94 (define @t81 () (_ @t70 @t4)) % 0.43/0.94 (define @t82 () (_ tptp.hF_Mirabelle_HUnion @t4)) % 0.43/0.94 (define @t83 () (_ tptp.hF_Mirabelle_Replace @t4)) % 0.43/0.94 (define @t84 () (_ @t83 @t49)) % 0.43/0.94 (define @t85 () (_ @t73 @t1)) % 0.43/0.94 (define @t86 () (_ tptp.hF_Mir818139703ollect @t73)) % 0.43/0.94 (define @t87 () (_ (_ tptp.hF_Mirabelle_RepFun @t4) @t74)) % 0.43/0.94 (define @t88 () (@var "G" (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf))) % 0.43/0.94 (define @t89 () (@var "B4" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t90 () (_ tptp.hF_Mirabelle_RepFun @t89)) % 0.43/0.94 (define @t91 () (_ @t36 @t89)) % 0.43/0.94 (define @t92 () (= @t4 @t89)) % 0.43/0.94 (define @t93 () (@var "Q" (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t94 () (_ tptp.hF_Mirabelle_Replace @t89)) % 0.43/0.94 (define @t95 () (@var "P" (-> tptp.hF_Mirabelle_hf tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t96 () (@var "Y5" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t97 () (@list @t35 @t96)) % 0.43/0.94 (define @t98 () (@var "Y3" tptp.nat)) % 0.43/0.94 (define @t99 () (_ tptp.hF_Mirabelle_Abs_hf @t98)) % 0.43/0.94 (define @t100 () (_ tptp.member_nat @t98)) % 0.43/0.94 (define @t101 () (_ @t100 tptp.top_top_set_nat)) % 0.43/0.94 (define @t102 () (@list @t98)) % 0.43/0.94 (define @t103 () (_ (_ tptp.hF_Mirabelle_hpair @t1) @t30)) % 0.43/0.94 (define @t104 () (_ tptp.hF_Mirabelle_hinsert @t25)) % 0.43/0.94 (define @t105 () (_ @t104 @t22)) % 0.43/0.94 (define @t106 () (@var "G" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t107 () (@var "F" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t108 () (@var "C" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t109 () (_ tptp.hF_Mirabelle_hmem @t25)) % 0.43/0.94 (define @t110 () (_ tptp.hF_Mirabelle_hinsert @t22)) % 0.43/0.94 (define @t111 () (@list @t25 @t22 @t108)) % 0.43/0.94 (define @t112 () (_ @t110 tptp.zero_z189798548lle_hf)) % 0.43/0.94 (define @t113 () (_ tptp.sup_su638957495lle_hf @t25)) % 0.43/0.94 (define @t114 () (_ @t113 @t22)) % 0.43/0.94 (define @t115 () (@list @t4)) % 0.43/0.94 (define @t116 () (@var "A2" tptp.nat)) % 0.43/0.94 (define @t117 () (@var "P" (-> tptp.nat Bool))) % 0.43/0.94 (define @t118 () (_ tptp.collect_nat @t117)) % 0.43/0.94 (define @t119 () (_ tptp.member_nat @t116)) % 0.43/0.94 (define @t120 () (_ tptp.collec2046588256lle_hf @t73)) % 0.43/0.94 (define @t121 () (_ tptp.member1367349282lle_hf @t25)) % 0.43/0.94 (define @t122 () (@var "A" tptp.set_nat)) % 0.43/0.94 (define @t123 () (@var "X2" tptp.nat)) % 0.43/0.94 (define @t124 () (_ tptp.member_nat @t123)) % 0.43/0.94 (define @t125 () (@list @t123)) % 0.43/0.94 (define @t126 () (@list @t122)) % 0.43/0.94 (define @t127 () (@var "A" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t128 () (_ tptp.member1367349282lle_hf @t5)) % 0.43/0.94 (define @t129 () (@list @t127)) % 0.43/0.94 (define @t130 () (@var "Q" (-> tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t131 () (_ @t73 @t35)) % 0.43/0.94 (define @t132 () (@var "Q" (-> tptp.nat Bool))) % 0.43/0.94 (define @t133 () (@var "X3" tptp.nat)) % 0.43/0.94 (define @t134 () (@list @t133)) % 0.43/0.94 (define @t135 () (_ tptp.sup_su638957495lle_hf @t4)) % 0.43/0.94 (define @t136 () (_ @t135 @t89)) % 0.43/0.94 (define @t137 () (_ @t104 @t4)) % 0.43/0.94 (define @t138 () (@list @t25 @t4)) % 0.43/0.94 (define @t139 () (_ @t73 @t96)) % 0.43/0.94 (define @t140 () (_ @t73 tptp.zero_z189798548lle_hf)) % 0.43/0.94 (define @t141 () (@list @t73 @t1)) % 0.43/0.94 (define @t142 () (_ tptp.hF_Mirabelle_hinsert @t40)) % 0.43/0.94 (define @t143 () (_ @t142 tptp.zero_z189798548lle_hf)) % 0.43/0.94 (define @t144 () (_ tptp.sup_su638957495lle_hf @t39)) % 0.43/0.94 (define @t145 () (_ tptp.hF_Mirabelle_hinsert @t1)) % 0.43/0.94 (define @t146 () (_ tptp.hF_Mirabelle_hinsert @t30)) % 0.43/0.94 (define @t147 () (@list @t1 @t30 @t10)) % 0.43/0.94 (define @t148 () (@var "D" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t149 () (_ @t145 @t4)) % 0.43/0.94 (define @t150 () (_ tptp.sup_su638957495lle_hf @t89)) % 0.43/0.94 (define @t151 () (@var "B5" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t152 () (@var "A5" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t153 () (_ (_ tptp.hF_Mirabelle_hinsert (_ @t142 (_ (_ tptp.hF_Mirabelle_hinsert @t39) tptp.zero_z189798548lle_hf))) tptp.zero_z189798548lle_hf)) % 0.43/0.94 (define @t154 () (@list @t25)) % 0.43/0.94 (define @t155 () (= @t10 tptp.zero_z189798548lle_hf)) % 0.43/0.94 (define @t156 () (@list @t10)) % 0.43/0.94 (define @t157 () (_ tptp.hF_Mirabelle_Rep_hf @t35)) % 0.43/0.94 (define @t158 () (_ @t117 @t98)) % 0.43/0.94 (define @t159 () (@var "Y5" tptp.nat)) % 0.43/0.94 (define @t160 () (_ tptp.member_nat @t159)) % 0.43/0.94 (define @t161 () (_ @t160 tptp.top_top_set_nat)) % 0.43/0.94 (define @t162 () (_ tptp.hF_Mirabelle_Abs_hf @t159)) % 0.43/0.94 (define @t163 () (@list @t159)) % 0.43/0.94 (define @t164 () (@var "X" tptp.nat)) % 0.43/0.94 (define @t165 () (= @t164 @t98)) % 0.43/0.94 (define @t166 () (_ tptp.member_nat @t164)) % 0.43/0.94 (define @t167 () (_ @t166 tptp.top_top_set_nat)) % 0.43/0.94 (define @t168 () (@list @t164 @t98)) % 0.43/0.94 (define @t169 () (@var "X" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t170 () (@list @t169)) % 0.43/0.94 (define @t171 () (@var "X" (-> tptp.nat Bool))) % 0.43/0.94 (define @t172 () (@list @t171)) % 0.43/0.94 (define @t173 () (@var "X" (-> tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t174 () (@list @t173)) % 0.43/0.94 (define @t175 () (@var "X" tptp.set_nat)) % 0.43/0.94 (define @t176 () (_ tptp.sup_sup_set_nat tptp.top_top_set_nat)) % 0.43/0.94 (define @t177 () (@list @t175)) % 0.43/0.94 (define @t178 () (_ tptp.sup_su1790843629lle_hf @t169)) % 0.43/0.94 (define @t179 () (_ tptp.sup_sup_set_nat @t175)) % 0.43/0.94 (define @t180 () (_ tptp.hF_Mirabelle_HInter @t4)) % 0.43/0.94 (define @t181 () (not (= @t4 tptp.zero_z189798548lle_hf))) % 0.43/0.94 (define @t182 () (@var "A2" tptp.set_nat)) % 0.43/0.94 (define @t183 () (_ tptp.sup_sup_set_nat @t182)) % 0.43/0.94 (define @t184 () (@list @t182)) % 0.43/0.94 (define @t185 () (@var "A2" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t186 () (_ tptp.sup_su1790843629lle_hf @t185)) % 0.43/0.94 (define @t187 () (@list @t185)) % 0.43/0.94 (define @t188 () (_ tptp.sup_su638957495lle_hf @t1)) % 0.43/0.94 (define @t189 () (@var "B" tptp.set_nat)) % 0.43/0.94 (define @t190 () (_ @t183 @t189)) % 0.43/0.94 (define @t191 () (@list @t182 @t189)) % 0.43/0.94 (define @t192 () (@var "B" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t193 () (_ @t186 @t192)) % 0.43/0.94 (define @t194 () (@list @t185 @t192)) % 0.43/0.94 (define @t195 () (@var "Y3" tptp.set_nat)) % 0.43/0.94 (define @t196 () (_ @t179 @t195)) % 0.43/0.94 (define @t197 () (@list @t175 @t195)) % 0.43/0.94 (define @t198 () (@var "Y3" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t199 () (_ @t178 @t198)) % 0.43/0.94 (define @t200 () (@list @t169 @t198)) % 0.43/0.94 (define @t201 () (_ @t188 @t30)) % 0.43/0.94 (define @t202 () (_ tptp.sup_sup_set_nat @t190)) % 0.43/0.94 (define @t203 () (_ tptp.sup_su1790843629lle_hf @t193)) % 0.43/0.94 (define @t204 () (_ tptp.sup_su638957495lle_hf @t114)) % 0.43/0.94 (define @t205 () (@var "Z" tptp.set_nat)) % 0.43/0.94 (define @t206 () (_ tptp.sup_sup_set_nat @t195)) % 0.43/0.94 (define @t207 () (_ @t179 (_ @t206 @t205))) % 0.43/0.94 (define @t208 () (@list @t175 @t195 @t205)) % 0.43/0.94 (define @t209 () (@var "Z" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t210 () (_ tptp.sup_su1790843629lle_hf @t198)) % 0.43/0.94 (define @t211 () (_ @t178 (_ @t210 @t209))) % 0.43/0.94 (define @t212 () (@list @t169 @t198 @t209)) % 0.43/0.94 (define @t213 () (_ @t188 @t10)) % 0.43/0.94 (define @t214 () (_ tptp.sup_su638957495lle_hf @t30)) % 0.43/0.94 (define @t215 () (_ @t214 @t10)) % 0.43/0.94 (define @t216 () (_ @t188 @t215)) % 0.43/0.94 (define @t217 () (@var "C" tptp.set_nat)) % 0.43/0.94 (define @t218 () (_ tptp.sup_sup_set_nat @t189)) % 0.43/0.94 (define @t219 () (_ @t183 (_ @t218 @t217))) % 0.43/0.94 (define @t220 () (@list @t189 @t182 @t217)) % 0.43/0.94 (define @t221 () (@var "C" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t222 () (_ tptp.sup_su1790843629lle_hf @t192)) % 0.43/0.94 (define @t223 () (_ @t186 (_ @t222 @t221))) % 0.43/0.94 (define @t224 () (@list @t192 @t185 @t221)) % 0.43/0.94 (define @t225 () (_ tptp.sup_su638957495lle_hf @t22)) % 0.43/0.94 (define @t226 () (_ @t113 (_ @t225 @t108))) % 0.43/0.94 (define @t227 () (@list @t22 @t25 @t108)) % 0.43/0.94 (define @t228 () (@var "X2" tptp.set_nat)) % 0.43/0.94 (define @t229 () (@var "Y" tptp.set_nat)) % 0.43/0.94 (define @t230 () (@list @t228 @t229)) % 0.43/0.94 (define @t231 () (@var "X2" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t232 () (@var "Y" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t233 () (@list @t231 @t232)) % 0.43/0.94 (define @t234 () (@var "A4" tptp.set_nat)) % 0.43/0.94 (define @t235 () (@var "B3" tptp.set_nat)) % 0.43/0.94 (define @t236 () (@list @t234 @t235)) % 0.43/0.94 (define @t237 () (@var "A4" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t238 () (@var "B3" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t239 () (@list @t237 @t238)) % 0.43/0.94 (define @t240 () (@list @t182 @t189 @t217)) % 0.43/0.94 (define @t241 () (@list @t185 @t192 @t221)) % 0.43/0.94 (define @t242 () (@var "K" tptp.set_nat)) % 0.43/0.94 (define @t243 () (_ tptp.sup_sup_set_nat @t242)) % 0.43/0.94 (define @t244 () (_ @t243 @t190)) % 0.43/0.94 (define @t245 () (@var "B4" tptp.set_nat)) % 0.43/0.94 (define @t246 () (@list @t245 @t242 @t189 @t182)) % 0.43/0.94 (define @t247 () (@var "K" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t248 () (_ tptp.sup_su1790843629lle_hf @t247)) % 0.43/0.94 (define @t249 () (_ @t248 @t193)) % 0.43/0.94 (define @t250 () (@var "B4" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t251 () (@list @t250 @t247 @t192 @t185)) % 0.43/0.94 (define @t252 () (@var "K" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t253 () (_ tptp.sup_su638957495lle_hf @t252)) % 0.43/0.94 (define @t254 () (_ @t253 @t114)) % 0.43/0.94 (define @t255 () (@list @t89 @t252 @t22 @t25)) % 0.43/0.94 (define @t256 () (_ tptp.sup_sup_set_nat @t122)) % 0.43/0.94 (define @t257 () (@list @t122 @t242 @t182 @t189)) % 0.43/0.94 (define @t258 () (_ tptp.sup_su1790843629lle_hf @t127)) % 0.43/0.94 (define @t259 () (@list @t127 @t247 @t185 @t192)) % 0.43/0.94 (define @t260 () (@list @t4 @t252 @t25 @t22)) % 0.43/0.94 (define @t261 () (_ tptp.member1367349282lle_hf @t1)) % 0.43/0.94 (define @t262 () (@list @t164)) % 0.43/0.94 (define @t263 () (_ tptp.inf_in956532509lle_hf @t25)) % 0.43/0.94 (define @t264 () (_ tptp.inf_inf_set_nat @t175)) % 0.43/0.94 (define @t265 () (_ @t264 @t195)) % 0.43/0.94 (define @t266 () (_ tptp.inf_inf_set_nat @t265)) % 0.43/0.94 (define @t267 () (_ tptp.inf_in923488851lle_hf @t169)) % 0.43/0.94 (define @t268 () (_ @t267 @t198)) % 0.43/0.94 (define @t269 () (_ tptp.inf_in923488851lle_hf @t268)) % 0.43/0.94 (define @t270 () (_ tptp.inf_in956532509lle_hf @t1)) % 0.43/0.94 (define @t271 () (_ @t270 @t30)) % 0.43/0.94 (define @t272 () (_ tptp.inf_in956532509lle_hf @t271)) % 0.43/0.94 (define @t273 () (_ tptp.inf_inf_set_nat @t182)) % 0.43/0.94 (define @t274 () (_ @t273 @t189)) % 0.43/0.94 (define @t275 () (_ tptp.inf_inf_set_nat @t274)) % 0.43/0.94 (define @t276 () (_ tptp.inf_in923488851lle_hf @t185)) % 0.43/0.94 (define @t277 () (_ @t276 @t192)) % 0.43/0.94 (define @t278 () (_ tptp.inf_in923488851lle_hf @t277)) % 0.43/0.94 (define @t279 () (_ @t263 @t22)) % 0.43/0.94 (define @t280 () (_ tptp.inf_in956532509lle_hf @t279)) % 0.43/0.94 (define @t281 () (@var "A2" (-> tptp.nat Bool))) % 0.43/0.94 (define @t282 () (_ tptp.inf_inf_nat_o @t281)) % 0.43/0.94 (define @t283 () (@list @t281)) % 0.43/0.94 (define @t284 () (@var "A2" (-> tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t285 () (_ tptp.inf_in307783154e_hf_o @t284)) % 0.43/0.94 (define @t286 () (@list @t284)) % 0.43/0.94 (define @t287 () (and (= @t185 tptp.top_to489427057lle_hf) (= @t192 tptp.top_to489427057lle_hf))) % 0.43/0.94 (define @t288 () (@var "B" (-> tptp.nat Bool))) % 0.43/0.94 (define @t289 () (and (= @t281 tptp.top_top_nat_o) (= @t288 tptp.top_top_nat_o))) % 0.43/0.94 (define @t290 () (_ @t282 @t288)) % 0.43/0.94 (define @t291 () (@list @t281 @t288)) % 0.43/0.94 (define @t292 () (@var "B" (-> tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t293 () (and (= @t284 tptp.top_to22270292e_hf_o) (= @t292 tptp.top_to22270292e_hf_o))) % 0.43/0.94 (define @t294 () (_ @t285 @t292)) % 0.43/0.94 (define @t295 () (@list @t284 @t292)) % 0.43/0.94 (define @t296 () (and (= @t182 tptp.top_top_set_nat) (= @t189 tptp.top_top_set_nat))) % 0.43/0.94 (define @t297 () (_ tptp.inf_in923488851lle_hf tptp.top_to489427057lle_hf)) % 0.43/0.94 (define @t298 () (_ tptp.inf_inf_nat_o tptp.top_top_nat_o)) % 0.43/0.94 (define @t299 () (_ tptp.inf_in307783154e_hf_o tptp.top_to22270292e_hf_o)) % 0.43/0.94 (define @t300 () (_ tptp.inf_inf_set_nat tptp.top_top_set_nat)) % 0.43/0.94 (define @t301 () (and (= @t169 tptp.top_to489427057lle_hf) (= @t198 tptp.top_to489427057lle_hf))) % 0.43/0.94 (define @t302 () (@var "Y3" (-> tptp.nat Bool))) % 0.43/0.94 (define @t303 () (and (= @t171 tptp.top_top_nat_o) (= @t302 tptp.top_top_nat_o))) % 0.43/0.94 (define @t304 () (_ tptp.inf_inf_nat_o @t171)) % 0.43/0.94 (define @t305 () (_ @t304 @t302)) % 0.43/0.94 (define @t306 () (@list @t171 @t302)) % 0.43/0.94 (define @t307 () (@var "Y3" (-> tptp.hF_Mirabelle_hf Bool))) % 0.43/0.94 (define @t308 () (and (= @t173 tptp.top_to22270292e_hf_o) (= @t307 tptp.top_to22270292e_hf_o))) % 0.43/0.94 (define @t309 () (_ tptp.inf_in307783154e_hf_o @t173)) % 0.43/0.94 (define @t310 () (_ @t309 @t307)) % 0.43/0.94 (define @t311 () (@list @t173 @t307)) % 0.43/0.94 (define @t312 () (and (= @t175 tptp.top_top_set_nat) (= @t195 tptp.top_top_set_nat))) % 0.43/0.94 (define @t313 () (@var "U4" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t314 () (_ tptp.hF_Mirabelle_hmem @t313)) % 0.43/0.94 (define @t315 () (_ tptp.inf_in956532509lle_hf @t4)) % 0.43/0.94 (define @t316 () (_ tptp.hF_Mirabelle_Abs_hf tptp.zero_zero_nat)) % 0.43/0.94 (define @t317 () (_ tptp.inf_inf_set_nat @t195)) % 0.43/0.94 (define @t318 () (_ @t264 (_ @t317 @t205))) % 0.43/0.94 (define @t319 () (_ tptp.inf_in923488851lle_hf @t198)) % 0.43/0.94 (define @t320 () (_ @t267 (_ @t319 @t209))) % 0.43/0.94 (define @t321 () (_ @t270 @t10)) % 0.43/0.94 (define @t322 () (_ tptp.inf_in956532509lle_hf @t30)) % 0.43/0.94 (define @t323 () (_ @t322 @t10)) % 0.43/0.94 (define @t324 () (_ @t270 @t323)) % 0.43/0.94 (define @t325 () (_ tptp.inf_inf_set_nat @t189)) % 0.43/0.94 (define @t326 () (_ @t273 (_ @t325 @t217))) % 0.43/0.94 (define @t327 () (_ tptp.inf_in923488851lle_hf @t192)) % 0.43/0.94 (define @t328 () (_ @t276 (_ @t327 @t221))) % 0.43/0.94 (define @t329 () (_ tptp.inf_in956532509lle_hf @t22)) % 0.43/0.94 (define @t330 () (_ @t263 (_ @t329 @t108))) % 0.43/0.94 (define @t331 () (_ tptp.inf_inf_set_nat @t242)) % 0.43/0.94 (define @t332 () (_ @t331 @t274)) % 0.43/0.94 (define @t333 () (_ tptp.inf_in923488851lle_hf @t247)) % 0.43/0.94 (define @t334 () (_ @t333 @t277)) % 0.43/0.94 (define @t335 () (_ tptp.inf_in956532509lle_hf @t252)) % 0.43/0.94 (define @t336 () (_ @t335 @t279)) % 0.43/0.94 (define @t337 () (_ tptp.inf_inf_set_nat @t122)) % 0.43/0.94 (define @t338 () (_ tptp.inf_in923488851lle_hf @t127)) % 0.43/0.94 (define @t339 () (@list @t30 @t10 @t1)) % 0.43/0.94 (define @t340 () (= (_ @t188 @t323) (_ (_ tptp.inf_in956532509lle_hf @t201) @t213))) % 0.43/0.94 (define @t341 () (= (_ @t270 @t215) (_ (_ tptp.sup_su638957495lle_hf @t271) @t321))) % 0.43/0.94 (define @t342 () (_ tptp.sup_su638957495lle_hf @t35)) % 0.43/0.94 (define @t343 () (@list @t35 @t96 @t54)) % 0.43/0.94 (define @t344 () (_ tptp.inf_in956532509lle_hf @t35)) % 0.43/0.94 (define @t345 () (@var "W" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t346 () (_ tptp.inf_in956532509lle_hf @t89)) % 0.43/0.94 (define @t347 () (_ @t346 @t4)) % 0.43/0.94 (define @t348 () (_ @t346 @t149)) % 0.43/0.94 (define @t349 () (_ @t45 @t89)) % 0.43/0.94 (define @t350 () (not @t349)) % 0.43/0.94 (define @t351 () (@list @t1 @t89 @t4)) % 0.43/0.94 (define @t352 () (_ @t315 @t89)) % 0.43/0.94 (define @t353 () (_ (_ tptp.inf_in956532509lle_hf @t149) @t89)) % 0.43/0.94 (define @t354 () (= @t164 tptp.zero_zero_nat)) % 0.43/0.94 (define @t355 () (_ tptp.member1367349282lle_hf @t35)) % 0.43/0.94 (define @t356 () (_ tptp.member_nat @t133)) % 0.43/0.94 (define @t357 () (@list @t245)) % 0.43/0.94 (define @t358 () (@var "Rep" (-> tptp.hF_Mirabelle_hf tptp.nat))) % 0.43/0.94 (define @t359 () (@var "F2" (-> tptp.nat Bool))) % 0.43/0.94 (define @t360 () (@list @t39)) % 0.43/0.94 (define @t361 () (@var "X4" tptp.nat)) % 0.43/0.94 (define @t362 () (@var "Abs" (-> tptp.nat tptp.hF_Mirabelle_hf))) % 0.43/0.94 (define @t363 () (_ (_ tptp.type_d1794767497hf_nat @t358) @t362)) % 0.43/0.94 (define @t364 () (_ @t363 tptp.top_top_set_nat)) % 0.43/0.94 (define @t365 () (@var "S" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t366 () (_ @t358 @t1)) % 0.43/0.94 (define @t367 () (_ @t363 @t122)) % 0.43/0.94 (define @t368 () (@list @t358 @t362 @t122 @t1)) % 0.43/0.94 (define @t369 () (_ @t337 @t245)) % 0.43/0.94 (define @t370 () (@var "C" tptp.nat)) % 0.43/0.94 (define @t371 () (_ tptp.member_nat @t370)) % 0.43/0.94 (define @t372 () (_ @t371 (_ @t256 @t245))) % 0.43/0.94 (define @t373 () (_ @t371 @t122)) % 0.43/0.94 (define @t374 () (_ @t371 @t245)) % 0.43/0.94 (define @t375 () (not @t374)) % 0.43/0.94 (define @t376 () (@list @t370 @t245 @t122)) % 0.43/0.94 (define @t377 () (_ @t258 @t250)) % 0.43/0.94 (define @t378 () (_ tptp.member1367349282lle_hf @t108)) % 0.43/0.94 (define @t379 () (_ @t378 @t377)) % 0.43/0.94 (define @t380 () (_ @t378 @t127)) % 0.43/0.94 (define @t381 () (_ @t378 @t250)) % 0.43/0.94 (define @t382 () (not @t381)) % 0.43/0.94 (define @t383 () (@list @t108 @t250 @t127)) % 0.43/0.94 (define @t384 () (@list @t370 @t122 @t245)) % 0.43/0.94 (define @t385 () (@list @t108 @t127 @t250)) % 0.43/0.94 (define @t386 () (_ @t362 @t98)) % 0.43/0.94 (define @t387 () (_ @t100 @t122)) % 0.43/0.94 (define @t388 () (@list @t358 @t362 @t122 @t98)) % 0.43/0.94 (define @t389 () (_ @t358 @t35)) % 0.43/0.94 (define @t390 () (_ @t166 @t122)) % 0.43/0.94 (define @t391 () (_ @t362 @t159)) % 0.43/0.94 (define @t392 () (_ @t160 @t122)) % 0.43/0.94 (define @t393 () (_ tptp.insert9649339lle_hf @t1)) % 0.43/0.94 (define @t394 () (_ @t393 @t127)) % 0.43/0.94 (define @t395 () (@list @t1 @t127)) % 0.43/0.94 (define @t396 () (_ @t119 @t122)) % 0.43/0.94 (define @t397 () (@var "B" tptp.nat)) % 0.43/0.94 (define @t398 () (= @t116 @t397)) % 0.43/0.94 (define @t399 () (_ tptp.insert_nat @t397)) % 0.43/0.94 (define @t400 () (_ @t119 (_ @t399 @t122))) % 0.43/0.94 (define @t401 () (@list @t116 @t397 @t122)) % 0.43/0.94 (define @t402 () (_ @t121 @t127)) % 0.43/0.94 (define @t403 () (_ tptp.insert9649339lle_hf @t22)) % 0.43/0.94 (define @t404 () (_ @t121 (_ @t403 @t127))) % 0.43/0.94 (define @t405 () (@list @t25 @t22 @t127)) % 0.43/0.94 (define @t406 () (_ @t399 @t245)) % 0.43/0.94 (define @t407 () (_ @t119 @t406)) % 0.43/0.94 (define @t408 () (_ @t119 @t245)) % 0.43/0.94 (define @t409 () (@list @t116 @t245 @t397)) % 0.43/0.94 (define @t410 () (_ @t403 @t250)) % 0.43/0.94 (define @t411 () (_ @t121 @t410)) % 0.43/0.94 (define @t412 () (_ @t121 @t250)) % 0.43/0.94 (define @t413 () (@list @t25 @t250 @t22)) % 0.43/0.94 (define @t414 () (_ @t371 @t369)) % 0.43/0.94 (define @t415 () (_ @t338 @t250)) % 0.43/0.94 (define @t416 () (_ @t378 @t415)) % 0.43/0.94 (define @t417 () (@var "C2" tptp.set_nat)) % 0.43/0.94 (define @t418 () (_ (_ tptp.inf_inf_set_nat @t245) @t417)) % 0.43/0.94 (define @t419 () (_ tptp.insert_nat @t116)) % 0.43/0.94 (define @t420 () (_ @t419 @t245)) % 0.43/0.94 (define @t421 () (_ (_ tptp.inf_inf_set_nat @t420) @t417)) % 0.43/0.94 (define @t422 () (_ @t119 @t417)) % 0.43/0.94 (define @t423 () (=> (not @t422) (= @t421 @t418))) % 0.43/0.94 (define @t424 () (@list @t116 @t417 @t245)) % 0.43/0.94 (define @t425 () (@var "C2" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t426 () (_ (_ tptp.inf_in923488851lle_hf @t250) @t425)) % 0.43/0.94 (define @t427 () (_ tptp.insert9649339lle_hf @t25)) % 0.43/0.94 (define @t428 () (_ @t427 @t250)) % 0.43/0.94 (define @t429 () (_ (_ tptp.inf_in923488851lle_hf @t428) @t425)) % 0.43/0.94 (define @t430 () (_ @t121 @t425)) % 0.43/0.94 (define @t431 () (=> (not @t430) (= @t429 @t426))) % 0.43/0.94 (define @t432 () (@list @t25 @t425 @t250)) % 0.43/0.94 (define @t433 () (=> @t422 (= @t421 (_ @t419 @t418)))) % 0.43/0.94 (define @t434 () (=> @t430 (= @t429 (_ @t427 @t426)))) % 0.43/0.94 (define @t435 () (_ @t427 @t415)) % 0.43/0.94 (define @t436 () (_ @t427 @t127)) % 0.43/0.94 (define @t437 () (@list @t25 @t127 @t250)) % 0.43/0.94 (define @t438 () (_ @t337 @t420)) % 0.43/0.94 (define @t439 () (not @t396)) % 0.43/0.94 (define @t440 () (=> @t439 (= @t438 @t369))) % 0.43/0.94 (define @t441 () (@list @t116 @t122 @t245)) % 0.43/0.94 (define @t442 () (_ @t338 @t428)) % 0.43/0.94 (define @t443 () (not @t402)) % 0.43/0.94 (define @t444 () (=> @t443 (= @t442 @t415))) % 0.43/0.94 (define @t445 () (=> @t396 (= @t438 (_ @t419 @t369)))) % 0.43/0.94 (define @t446 () (=> @t402 (= @t442 @t435))) % 0.43/0.94 (define @t447 () (_ tptp.insert_nat @t164)) % 0.43/0.94 (define @t448 () (@var "B6" tptp.set_nat)) % 0.43/0.94 (define @t449 () (@list @t448)) % 0.43/0.94 (define @t450 () (@list @t116 @t122)) % 0.43/0.94 (define @t451 () (@var "B6" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t452 () (@list @t451)) % 0.43/0.94 (define @t453 () (@list @t25 @t127)) % 0.43/0.94 (define @t454 () (_ tptp.insert9649339lle_hf @t30)) % 0.43/0.94 (define @t455 () (@var "C3" tptp.set_nat)) % 0.43/0.94 (define @t456 () (_ tptp.member_nat @t397)) % 0.43/0.94 (define @t457 () (not @t398)) % 0.43/0.94 (define @t458 () (= @t122 @t245)) % 0.43/0.94 (define @t459 () (_ @t419 @t122)) % 0.43/0.94 (define @t460 () (@var "C3" tptp.set_HF_Mirabelle_hf)) % 0.43/0.94 (define @t461 () (_ tptp.member1367349282lle_hf @t22)) % 0.43/0.94 (define @t462 () (not @t34)) % 0.43/0.94 (define @t463 () (= @t127 @t250)) % 0.43/0.94 (define @t464 () (_ @t261 @t127)) % 0.43/0.94 (define @t465 () (_ tptp.hF_Mirabelle_hcard @t30)) % 0.43/0.94 (define @t466 () (_ tptp.hF_Mirabelle_hcard (_ @t145 @t30))) % 0.43/0.94 (define @t467 () (= @t397 @t370)) % 0.43/0.94 (define @t468 () (_ tptp.plus_plus_nat @t116)) % 0.43/0.94 (define @t469 () (_ @t468 @t397)) % 0.43/0.94 (define @t470 () (@list @t116 @t397 @t370)) % 0.43/0.94 (define @t471 () (_ tptp.plus_plus_nat @t397)) % 0.43/0.94 (define @t472 () (_ @t471 @t116)) % 0.43/0.94 (define @t473 () (and @t354 (= @t98 tptp.zero_zero_nat))) % 0.43/0.94 (define @t474 () (_ (_ tptp.plus_plus_nat @t164) @t98)) % 0.43/0.94 (define @t475 () (= @t397 tptp.zero_zero_nat)) % 0.43/0.94 (define @t476 () (@list @t116 @t397)) % 0.43/0.94 (define @t477 () (@list @t116)) % 0.43/0.94 (define @t478 () (@var "L" tptp.nat)) % 0.43/0.94 (define @t479 () (@var "J" tptp.nat)) % 0.43/0.94 (define @t480 () (@var "K" tptp.nat)) % 0.43/0.94 (define @t481 () (@var "I" tptp.nat)) % 0.43/0.94 (define @t482 () (_ tptp.plus_plus_nat @t480)) % 0.43/0.94 (define @t483 () (_ @t482 @t469)) % 0.43/0.94 (define @t484 () (@var "A" tptp.nat)) % 0.43/0.94 (define @t485 () (@var "B4" tptp.nat)) % 0.43/0.94 (define @t486 () (_ (_ tptp.hF_Mir1653039215strict tptp.r) tptp.x)) % 0.43/0.94 (define @t487 () (not (_ tptp.hF_Mir199975595nction @t486))) % 0.43/0.94 (define @t488 () (@var "Y2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t489 () (= @t7 @t488)) % 0.43/0.94 (define @t490 () (@var "R2" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t491 () (_ @t8 @t488)) % 0.43/0.94 (define @t492 () (_ (_ tptp.hF_Mirabelle_hmem @t491) @t490)) % 0.43/0.94 (define @t493 () (@list @t488)) % 0.43/0.94 (define @t494 () (forall @t493 (=> @t492 @t489))) % 0.43/0.94 (define @t495 () (_ (_ tptp.hF_Mirabelle_hmem @t9) @t490)) % 0.43/0.94 (define @t496 () (=> @t495 @t494)) % 0.43/0.94 (define @t497 () (forall @t13 @t496)) % 0.43/0.94 (define @t498 () (@list @t490)) % 0.43/0.94 (define @t499 () (lambda @t498 @t497)) % 0.43/0.94 (define @t500 () (@var "Z4" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t501 () (@list @t500)) % 0.43/0.94 (define @t502 () (lambda @t498 (forall @t501 (=> (_ (_ tptp.hF_Mirabelle_hmem @t500) @t490) (_ tptp.hF_Mir137170979_hpair @t500))))) % 0.43/0.94 (define @t503 () (lambda @t501 (exists @t13 (= @t500 @t9)))) % 0.43/0.94 (define @t504 () (_ tptp.hF_Mirabelle_hfset @t39)) % 0.43/0.94 (define @t505 () (lambda @t42 (_ (_ tptp.member1367349282lle_hf @t40) @t504))) % 0.43/0.94 (define @t506 () (lambda @t42 (_ (_ tptp.hF_Mirabelle_hinsert @t143) @t153))) % 0.43/0.94 (define @t507 () (lambda @t125 tptp.top_top_o)) % 0.43/0.94 (define @t508 () (lambda @t41 tptp.top_top_o)) % 0.43/0.94 (define @t509 () (@var "Y" tptp.nat)) % 0.43/0.94 (define @t510 () (@var "Abs2" (-> tptp.nat tptp.hF_Mirabelle_hf))) % 0.43/0.94 (define @t511 () (@var "Rep2" (-> tptp.hF_Mirabelle_hf tptp.nat))) % 0.43/0.94 (define @t512 () (@var "A6" tptp.set_nat)) % 0.43/0.94 (define @t513 () (_ @t511 @t5)) % 0.43/0.94 (define @t514 () (lambda (@list @t511 @t510 @t512) (and (forall @t41 (_ (_ tptp.member_nat @t513) @t512)) (forall @t41 (= (_ @t510 @t513) @t5)) (forall (@list @t509) (=> (_ (_ tptp.member_nat @t509) @t512) (= (_ @t511 (_ @t510 @t509)) @t509)))))) % 0.43/0.94 (define @t515 () (_ tptp.insert9649339lle_hf @t40)) % 0.43/0.94 (define @t516 () (_ tptp.hF_Mirabelle_HF (_ @t515 @t504))) % 0.43/0.94 (define @t517 () (lambda @t42 @t516)) % 0.43/0.94 (define @t518 () (@var "BOUND_VARIABLE_7532" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t519 () (= @t7 @t518)) % 0.43/0.94 (define @t520 () (tptp.hF_Mir1653039215strict tptp.r tptp.x)) % 0.43/0.94 (define @t521 () (tptp.hF_Mirabelle_hfset @t520)) % 0.43/0.94 (define @t522 () (tptp.hF_Mirabelle_Abs_hf tptp.zero_zero_nat)) % 0.43/0.94 (define @t523 () (tptp.hF_Mirabelle_hfset @t316)) % 0.43/0.94 (define @t524 () (tptp.insert9649339lle_hf @t518 @t523)) % 0.43/0.94 (define @t525 () (tptp.hF_Mirabelle_HF @t524)) % 0.43/0.94 (define @t526 () (tptp.hF_Mirabelle_hfset @t525)) % 0.43/0.94 (define @t527 () (tptp.insert9649339lle_hf @t5 @t526)) % 0.43/0.94 (define @t528 () (tptp.hF_Mirabelle_HF @t527)) % 0.43/0.94 (define @t529 () (tptp.insert9649339lle_hf @t528 @t523)) % 0.43/0.94 (define @t530 () (tptp.hF_Mirabelle_HF @t529)) % 0.43/0.94 (define @t531 () (tptp.hF_Mirabelle_hfset @t530)) % 0.43/0.94 (define @t532 () (tptp.insert9649339lle_hf @t5 @t523)) % 0.43/0.94 (define @t533 () (tptp.hF_Mirabelle_HF @t532)) % 0.43/0.94 (define @t534 () (tptp.insert9649339lle_hf @t533 @t531)) % 0.43/0.94 (define @t535 () (tptp.hF_Mirabelle_HF @t534)) % 0.43/0.94 (define @t536 () (tptp.member1367349282lle_hf @t535 @t521)) % 0.43/0.94 (define @t537 () (not @t536)) % 0.43/0.94 (define @t538 () (tptp.insert9649339lle_hf @t7 @t523)) % 0.43/0.94 (define @t539 () (tptp.hF_Mirabelle_HF @t538)) % 0.43/0.94 (define @t540 () (tptp.hF_Mirabelle_hfset @t539)) % 0.43/0.94 (define @t541 () (tptp.insert9649339lle_hf @t5 @t540)) % 0.43/0.94 (define @t542 () (tptp.hF_Mirabelle_HF @t541)) % 0.43/0.94 (define @t543 () (tptp.insert9649339lle_hf @t542 @t523)) % 0.43/0.94 (define @t544 () (tptp.hF_Mirabelle_HF @t543)) % 0.43/0.94 (define @t545 () (tptp.hF_Mirabelle_hfset @t544)) % 0.43/0.94 (define @t546 () (tptp.insert9649339lle_hf @t533 @t545)) % 0.43/0.94 (define @t547 () (tptp.hF_Mirabelle_HF @t546)) % 0.43/0.94 (define @t548 () (tptp.member1367349282lle_hf @t547 @t521)) % 0.43/0.94 (define @t549 () (not @t548)) % 0.43/0.94 (define @t550 () (or @t549 @t537 @t519)) % 0.43/0.94 (define @t551 () (@list @t5 @t7 @t518)) % 0.43/0.94 (define @t552 () (forall @t551 @t550)) % 0.43/0.94 (define @t553 () (tptp.hF_Mirabelle_hfset tptp.zero_z189798548lle_hf)) % 0.43/0.94 (define @t554 () (tptp.insert9649339lle_hf @t518 @t553)) % 0.43/0.94 (define @t555 () (tptp.hF_Mirabelle_HF @t554)) % 0.43/0.94 (define @t556 () (tptp.hF_Mirabelle_hfset @t555)) % 0.43/0.94 (define @t557 () (tptp.insert9649339lle_hf @t5 @t556)) % 0.43/0.94 (define @t558 () (tptp.hF_Mirabelle_HF @t557)) % 0.43/0.94 (define @t559 () (tptp.insert9649339lle_hf @t558 @t553)) % 0.43/0.94 (define @t560 () (tptp.hF_Mirabelle_HF @t559)) % 0.43/0.94 (define @t561 () (tptp.hF_Mirabelle_hfset @t560)) % 0.43/0.94 (define @t562 () (tptp.insert9649339lle_hf @t5 @t553)) % 0.43/0.94 (define @t563 () (tptp.hF_Mirabelle_HF @t562)) % 0.43/0.94 (define @t564 () (tptp.insert9649339lle_hf @t563 @t561)) % 0.43/0.94 (define @t565 () (tptp.hF_Mirabelle_HF @t564)) % 0.43/0.94 (define @t566 () (tptp.member1367349282lle_hf @t565 @t521)) % 0.43/0.94 (define @t567 () (not @t566)) % 0.43/0.94 (define @t568 () (tptp.insert9649339lle_hf @t7 @t553)) % 0.43/0.94 (define @t569 () (tptp.hF_Mirabelle_HF @t568)) % 0.43/0.94 (define @t570 () (tptp.hF_Mirabelle_hfset @t569)) % 0.43/0.94 (define @t571 () (tptp.insert9649339lle_hf @t5 @t570)) % 0.43/0.94 (define @t572 () (tptp.hF_Mirabelle_HF @t571)) % 0.43/0.94 (define @t573 () (tptp.insert9649339lle_hf @t572 @t553)) % 0.43/0.94 (define @t574 () (tptp.hF_Mirabelle_HF @t573)) % 0.43/0.94 (define @t575 () (tptp.hF_Mirabelle_hfset @t574)) % 0.43/0.94 (define @t576 () (tptp.insert9649339lle_hf @t563 @t575)) % 0.43/0.94 (define @t577 () (tptp.hF_Mirabelle_HF @t576)) % 0.43/0.94 (define @t578 () (tptp.member1367349282lle_hf @t577 @t521)) % 0.43/0.94 (define @t579 () (not @t578)) % 0.43/0.94 (define @t580 () (or @t579 @t567 @t519)) % 0.43/0.94 (define @t581 () (forall @t551 @t580)) % 0.43/0.94 (define @t582 () (tptp.hF_Mirabelle_hfset @t486)) % 0.43/0.94 (define @t583 () (tptp.member1367349282lle_hf @t565 @t582)) % 0.43/0.94 (define @t584 () (not @t583)) % 0.43/0.94 (define @t585 () (tptp.member1367349282lle_hf @t577 @t582)) % 0.43/0.94 (define @t586 () (not @t585)) % 0.43/0.94 (define @t587 () (or @t586 @t584 @t519)) % 0.43/0.94 (define @t588 () (forall @t551 @t587)) % 0.43/0.94 (define @t589 () (tptp.hF_Mirabelle_hfset @t490)) % 0.43/0.94 (define @t590 () (tptp.member1367349282lle_hf @t565 @t589)) % 0.43/0.94 (define @t591 () (tptp.member1367349282lle_hf @t577 @t589)) % 0.43/0.94 (define @t592 () (lambda @t498 (forall @t551 (or (not @t591) (not @t590) @t519)))) % 0.43/0.94 (define @t593 () (_ tptp.hF_Mirabelle_hfset @t490)) % 0.43/0.94 (define @t594 () (_ tptp.hF_Mirabelle_hfset tptp.zero_z189798548lle_hf)) % 0.43/0.94 (define @t595 () (_ tptp.insert9649339lle_hf @t518)) % 0.43/0.94 (define @t596 () (_ @t595 @t594)) % 0.43/0.94 (define @t597 () (_ tptp.hF_Mirabelle_HF @t596)) % 0.43/0.94 (define @t598 () (_ tptp.hF_Mirabelle_hfset @t597)) % 0.43/0.94 (define @t599 () (_ tptp.insert9649339lle_hf @t5)) % 0.43/0.94 (define @t600 () (_ @t599 @t598)) % 0.43/0.94 (define @t601 () (_ tptp.hF_Mirabelle_HF @t600)) % 0.43/0.94 (define @t602 () (_ tptp.insert9649339lle_hf @t601)) % 0.43/0.94 (define @t603 () (_ @t602 @t594)) % 0.43/0.94 (define @t604 () (_ tptp.hF_Mirabelle_HF @t603)) % 0.43/0.94 (define @t605 () (_ tptp.hF_Mirabelle_hfset @t604)) % 0.43/0.94 (define @t606 () (_ @t599 @t594)) % 0.43/0.94 (define @t607 () (_ tptp.hF_Mirabelle_HF @t606)) % 0.43/0.94 (define @t608 () (_ tptp.insert9649339lle_hf @t607)) % 0.43/0.94 (define @t609 () (_ @t608 @t605)) % 0.43/0.94 (define @t610 () (_ tptp.hF_Mirabelle_HF @t609)) % 0.43/0.94 (define @t611 () (_ (_ tptp.member1367349282lle_hf @t610) @t593)) % 0.43/0.94 (define @t612 () (_ tptp.insert9649339lle_hf @t563)) % 0.43/0.94 (define @t613 () (not @t611)) % 0.43/0.94 (define @t614 () (_ tptp.insert9649339lle_hf @t7)) % 0.43/0.94 (define @t615 () (_ @t614 @t594)) % 0.43/0.94 (define @t616 () (_ tptp.hF_Mirabelle_HF @t615)) % 0.43/0.94 (define @t617 () (_ tptp.hF_Mirabelle_hfset @t616)) % 0.43/0.94 (define @t618 () (_ @t599 @t617)) % 0.43/0.94 (define @t619 () (_ tptp.hF_Mirabelle_HF @t618)) % 0.43/0.94 (define @t620 () (_ tptp.insert9649339lle_hf @t619)) % 0.43/0.94 (define @t621 () (_ @t620 @t594)) % 0.43/0.94 (define @t622 () (_ tptp.hF_Mirabelle_HF @t621)) % 0.43/0.94 (define @t623 () (_ tptp.hF_Mirabelle_hfset @t622)) % 0.43/0.94 (define @t624 () (_ @t608 @t623)) % 0.43/0.94 (define @t625 () (_ tptp.hF_Mirabelle_HF @t624)) % 0.43/0.94 (define @t626 () (_ (_ tptp.member1367349282lle_hf @t625) @t593)) % 0.43/0.94 (define @t627 () (not @t626)) % 0.43/0.94 (define @t628 () (or @t627 @t613 @t519)) % 0.43/0.94 (define @t629 () (@var "BOUND_VARIABLE_9729" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t630 () (_ tptp.hF_Mirabelle_hfset @t629)) % 0.43/0.94 (define @t631 () (@list @t629)) % 0.43/0.94 (define @t632 () (lambda @t631 (_ tptp.hF_Mirabelle_HF (_ @t608 @t630)))) % 0.43/0.94 (define @t633 () (lambda @t631 (_ tptp.hF_Mirabelle_HF (_ @t602 @t630)))) % 0.43/0.94 (define @t634 () (@var "BOUND_VARIABLE_9727" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t635 () (lambda (@list @t634 @t629) (_ tptp.hF_Mirabelle_HF (_ (_ tptp.insert9649339lle_hf @t634) @t630)))) % 0.43/0.94 (define @t636 () (lambda @t631 (_ tptp.hF_Mirabelle_HF (_ @t599 @t630)))) % 0.43/0.94 (define @t637 () (lambda @t631 (_ tptp.hF_Mirabelle_HF (_ @t595 @t630)))) % 0.43/0.94 (define @t638 () (_ @t635 @t518)) % 0.43/0.94 (define @t639 () (_ @t635 @t5)) % 0.43/0.94 (define @t640 () (_ @t635 (_ @t639 tptp.zero_z189798548lle_hf))) % 0.43/0.94 (define @t641 () (_ @t635 @t40)) % 0.43/0.94 (define @t642 () (lambda @t42 (_ (_ @t635 (_ @t641 tptp.zero_z189798548lle_hf)) (_ (_ @t635 (_ @t641 (_ (_ @t635 @t39) tptp.zero_z189798548lle_hf))) tptp.zero_z189798548lle_hf)))) % 0.43/0.94 (define @t643 () (_ @t517 @t40)) % 0.43/0.94 (define @t644 () (lambda @t42 (_ (_ @t517 (_ @t643 tptp.zero_z189798548lle_hf)) (_ (_ @t517 (_ @t643 (_ (_ @t517 @t39) tptp.zero_z189798548lle_hf))) tptp.zero_z189798548lle_hf)))) % 0.43/0.94 (define @t645 () (_ @t505 (_ @t644 @t5 @t518) @t490)) % 0.43/0.94 (define @t646 () (not @t645)) % 0.43/0.94 (define @t647 () (lambda @t631 (_ tptp.hF_Mirabelle_HF (_ @t620 @t630)))) % 0.43/0.94 (define @t648 () (lambda @t631 (_ tptp.hF_Mirabelle_HF (_ @t614 @t630)))) % 0.43/0.94 (define @t649 () (_ @t635 @t7)) % 0.43/0.94 (define @t650 () (_ @t505 (_ @t644 @t5 @t7) @t490)) % 0.43/0.94 (define @t651 () (not @t650)) % 0.43/0.94 (define @t652 () (or @t651 @t646 @t519)) % 0.43/0.94 (define @t653 () (forall @t551 @t652)) % 0.43/0.94 (define @t654 () (lambda @t498 @t653)) % 0.43/0.94 (define @t655 () (not (tptp.hF_Mirabelle_hmem (tptp.hF_Mirabelle_hpair @t5 @t518) @t490))) % 0.43/0.94 (define @t656 () (tptp.hF_Mirabelle_hpair @t5 @t7)) % 0.43/0.94 (define @t657 () (tptp.hF_Mirabelle_hmem @t656 @t490)) % 0.43/0.94 (define @t658 () (not @t657)) % 0.43/0.94 (define @t659 () (or @t658 @t655 @t519)) % 0.43/0.94 (define @t660 () (forall @t551 @t659)) % 0.43/0.94 (define @t661 () (or @t655 @t519)) % 0.43/0.94 (define @t662 () (or @t658 @t661)) % 0.43/0.94 (define @t663 () (forall @t551 @t662)) % 0.43/0.94 (define @t664 () (@list @t518)) % 0.43/0.94 (define @t665 () (forall @t664 @t662)) % 0.43/0.94 (define @t666 () (forall @t664 @t661)) % 0.43/0.94 (define @t667 () (or @t658 @t666)) % 0.43/0.94 (define @t668 () (tptp.hF_Mirabelle_hpair @t5 @t488)) % 0.43/0.94 (define @t669 () (tptp.hF_Mirabelle_hmem @t668 @t490)) % 0.43/0.94 (define @t670 () (forall @t493 (or (not @t669) @t489))) % 0.43/0.94 (define @t671 () (not @t495)) % 0.43/0.94 (define @t672 () (or @t671 @t670)) % 0.43/0.94 (define @t673 () (not @t492)) % 0.43/0.94 (define @t674 () (or @t673 @t489)) % 0.43/0.94 (define @t675 () (tptp.hF_Mirabelle_hfset @t522)) % 0.43/0.94 (define @t676 () (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t5 @t675))) % 0.43/0.94 (define @t677 () (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t676 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t5 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t7 @t675))))) @t675)))))) % 0.43/0.94 (define @t678 () (forall @t551 (or (not (tptp.member1367349282lle_hf @t677 @t521)) (not (tptp.member1367349282lle_hf (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t676 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t5 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t518 @t675))))) @t675))))) @t521)) @t519))) % 0.43/0.94 (define @t679 () (@quantifiers_skolemize @t678 2)) % 0.43/0.94 (define @t680 () (@quantifiers_skolemize @t678 1)) % 0.43/0.94 (define @t681 () (= @t680 @t679)) % 0.43/0.94 (define @t682 () (@quantifiers_skolemize @t678 0)) % 0.43/0.94 (define @t683 () (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t682 @t675))) % 0.43/0.94 (define @t684 () (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t683 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t682 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t679 @t675))))) @t675)))))) % 0.43/0.94 (define @t685 () (tptp.member1367349282lle_hf @t684 @t521)) % 0.43/0.94 (define @t686 () (not @t685)) % 0.43/0.94 (define @t687 () (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t683 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t682 (tptp.hF_Mirabelle_hfset (tptp.hF_Mirabelle_HF (tptp.insert9649339lle_hf @t680 @t675))))) @t675)))))) % 0.43/0.94 (define @t688 () (tptp.member1367349282lle_hf @t687 @t521)) % 0.43/0.94 (define @t689 () (not @t688)) % 0.43/0.94 (define @t690 () (or @t689 @t686 @t681)) % 0.43/0.94 (define @t691 () (@list true)) % 0.43/0.94 (define @t692 () (@list @t690)) % 0.43/0.94 (define @t693 () (tptp.hF_Mirabelle_hfset tptp.r)) % 0.43/0.94 (define @t694 () (tptp.member1367349282lle_hf @t535 @t693)) % 0.43/0.94 (define @t695 () (not @t694)) % 0.43/0.94 (define @t696 () (tptp.member1367349282lle_hf @t547 @t693)) % 0.43/0.94 (define @t697 () (not @t696)) % 0.43/0.94 (define @t698 () (or @t697 @t695 @t519)) % 0.43/0.94 (define @t699 () (tptp.member1367349282lle_hf @t565 @t693)) % 0.43/0.94 (define @t700 () (not @t699)) % 0.43/0.94 (define @t701 () (tptp.member1367349282lle_hf @t577 @t693)) % 0.43/0.94 (define @t702 () (not @t701)) % 0.43/0.94 (define @t703 () (or @t702 @t700 @t519)) % 0.43/0.94 (define @t704 () (forall @t551 @t703)) % 0.43/0.94 (define @t705 () (tptp.hF_Mirabelle_hfset @t4)) % 0.43/0.94 (define @t706 () (tptp.member1367349282lle_hf @t5 @t705)) % 0.43/0.94 (define @t707 () (not @t706)) % 0.43/0.94 (define @t708 () (= @t10 @t547)) % 0.43/0.94 (define @t709 () (not @t708)) % 0.43/0.94 (define @t710 () (or @t709 @t707)) % 0.43/0.94 (define @t711 () (forall @t13 @t710)) % 0.43/0.94 (define @t712 () (not @t711)) % 0.43/0.94 (define @t713 () (tptp.hF_Mirabelle_hfset @t2)) % 0.43/0.94 (define @t714 () (tptp.member1367349282lle_hf @t10 @t713)) % 0.43/0.94 (define @t715 () (and @t714 @t712)) % 0.43/0.94 (define @t716 () (tptp.hF_Mir1653039215strict @t2 @t4)) % 0.43/0.94 (define @t717 () (tptp.hF_Mirabelle_hfset @t716)) % 0.43/0.94 (define @t718 () (tptp.member1367349282lle_hf @t10 @t717)) % 0.43/0.94 (define @t719 () (= @t10 @t577)) % 0.43/0.94 (define @t720 () (not @t719)) % 0.43/0.94 (define @t721 () (or @t720 @t707)) % 0.43/0.94 (define @t722 () (forall @t13 @t721)) % 0.43/0.94 (define @t723 () (not @t722)) % 0.43/0.94 (define @t724 () (and @t714 @t723)) % 0.43/0.94 (define @t725 () (= @t724 @t718)) % 0.43/0.94 (define @t726 () (_ tptp.hF_Mirabelle_hfset @t17)) % 0.43/0.94 (define @t727 () (_ tptp.member1367349282lle_hf @t10)) % 0.43/0.94 (define @t728 () (_ @t727 @t726)) % 0.43/0.94 (define @t729 () (_ tptp.hF_Mirabelle_hfset @t2)) % 0.43/0.94 (define @t730 () (_ @t727 @t729)) % 0.43/0.94 (define @t731 () (and @t730 @t723)) % 0.43/0.94 (define @t732 () (= @t731 @t728)) % 0.43/0.94 (define @t733 () (lambda @t360 (_ @t727 @t504))) % 0.43/0.94 (define @t734 () (_ @t505 @t10)) % 0.43/0.94 (define @t735 () (_ tptp.hF_Mirabelle_hfset @t4)) % 0.43/0.94 (define @t736 () (_ @t128 @t735)) % 0.43/0.94 (define @t737 () (not @t736)) % 0.43/0.94 (define @t738 () (= @t10 @t625)) % 0.43/0.94 (define @t739 () (not @t738)) % 0.43/0.94 (define @t740 () (or @t739 @t737)) % 0.43/0.94 (define @t741 () (and @t738 @t736)) % 0.43/0.94 (define @t742 () (forall @t13 (not @t741))) % 0.43/0.94 (define @t743 () (not @t742)) % 0.43/0.94 (define @t744 () (lambda @t360 (_ @t128 @t504))) % 0.43/0.94 (define @t745 () (_ @t505 @t5)) % 0.43/0.94 (define @t746 () (_ tptp.insert9649339lle_hf @t39)) % 0.43/0.94 (define @t747 () (_ tptp.hF_Mirabelle_HF (_ @t746 @t594))) % 0.43/0.94 (define @t748 () (_ tptp.hF_Mirabelle_hfset @t747)) % 0.43/0.94 (define @t749 () (lambda @t360 (_ tptp.hF_Mirabelle_HF (_ @t608 (_ tptp.hF_Mirabelle_hfset (_ tptp.hF_Mirabelle_HF (_ (_ tptp.insert9649339lle_hf (_ tptp.hF_Mirabelle_HF (_ @t599 @t748))) @t594))))))) % 0.43/0.94 (define @t750 () (_ tptp.hF_Mirabelle_HF (_ @t515 @t748))) % 0.43/0.94 (define @t751 () (_ tptp.insert9649339lle_hf @t750)) % 0.43/0.94 (define @t752 () (_ tptp.hF_Mirabelle_HF (_ @t751 @t594))) % 0.43/0.94 (define @t753 () (_ tptp.hF_Mirabelle_HF (_ @t515 @t594))) % 0.43/0.94 (define @t754 () (_ tptp.insert9649339lle_hf @t753)) % 0.43/0.94 (define @t755 () (_ tptp.hF_Mirabelle_HF (_ @t754 (_ tptp.hF_Mirabelle_hfset @t752)))) % 0.43/0.94 (define @t756 () (lambda @t360 (_ tptp.hF_Mirabelle_HF (_ @t754 @t504)))) % 0.43/0.94 (define @t757 () (@var "BOUND_VARIABLE_9980" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t758 () (_ tptp.hF_Mirabelle_hfset @t757)) % 0.43/0.94 (define @t759 () (lambda (@list @t757) (_ tptp.hF_Mirabelle_HF (_ @t751 @t758)))) % 0.43/0.94 (define @t760 () (@list @t39)) % 0.43/0.94 (define @t761 () (lambda @t360 @t516)) % 0.43/0.94 (define @t762 () (@var "BOUND_VARIABLE_9958" tptp.hF_Mirabelle_hf)) % 0.43/0.94 (define @t763 () (_ tptp.hF_Mirabelle_hfset @t762)) % 0.43/0.94 (define @t764 () (lambda (@list @t762) (_ tptp.hF_Mirabelle_HF (_ @t746 @t763)))) % 0.43/0.94 (define @t765 () (= @t10 (_ (_ @t644 @t5) @t7))) % 0.43/0.94 (define @t766 () (and @t765 (_ @t745 @t4))) % 0.43/0.94 (define @t767 () (exists @t13 @t766)) % 0.43/0.94 (define @t768 () (and (_ @t734 @t2) @t767)) % 0.43/0.94 (define @t769 () (_ @t734 @t17)) % 0.43/0.94 (define @t770 () (not (tptp.member1367349282lle_hf @t5 (tptp.hF_Mirabelle_hfset tptp.x)))) % 0.43/0.94 (define @t771 () (not (= @t687 @t677))) % 0.43/0.94 (define @t772 () (or @t771 @t770)) % 0.43/0.94 (define @t773 () (forall @t13 @t772)) % 0.43/0.94 (define @t774 () (not @t773)) % 0.43/0.94 (define @t775 () (tptp.member1367349282lle_hf @t687 @t693)) % 0.43/0.94 (define @t776 () (and @t775 @t774)) % 0.43/0.94 (define @t777 () (= @t688 @t776)) % 0.43/0.94 (define @t778 () (forall @t19 (= @t718 (and @t714 (not (forall @t13 (or (not (= @t10 @t677)) @t707))))))) % 0.43/0.94 (define @t779 () (and @t775 (not (forall @t13 (or (not (= @t677 @t687)) @t770))))) % 0.43/0.94 (define @t780 () (= @t688 @t779)) % 0.43/0.94 (define @t781 () (@list false)) % 0.43/0.94 (define @t782 () (@list @t778)) % 0.43/0.94 (define @t783 () (@list false false)) % 0.43/0.94 (define @t784 () (not (= @t684 @t677))) % 0.43/0.94 (define @t785 () (or @t784 @t770)) % 0.43/0.94 (define @t786 () (forall @t13 @t785)) % 0.43/0.94 (define @t787 () (not @t786)) % 0.43/0.94 (define @t788 () (tptp.member1367349282lle_hf @t684 @t693)) % 0.43/0.94 (define @t789 () (and @t788 @t787)) % 0.43/0.94 (define @t790 () (= @t685 @t789)) % 0.43/0.94 (define @t791 () (and @t788 (not (forall @t13 (or (not (= @t677 @t684)) @t770))))) % 0.43/0.94 (define @t792 () (= @t685 @t791)) % 0.43/0.94 (define @t793 () (not @t788)) % 0.43/0.94 (define @t794 () (not @t775)) % 0.43/0.94 (define @t795 () (or @t794 @t793 @t681)) % 0.43/0.94 (assume @p1 (forall (@list @t2 @t1) (_ tptp.hF_Mir434065167lation (_ @t3 @t1)))) % 0.43/0.94 (assume @p2 @t20) % 0.43/0.94 (assume @p3 (forall @t29 (= @t28 (and @t26 @t23)))) % 0.43/0.94 (assume @p4 (forall @t33 (= (= @t32 (_ tptp.hF_Mirabelle_Rep_hf @t30)) @t31))) % 0.43/0.94 (assume @p5 (forall @t38 (=> (forall @t37 (= (_ @t36 @t25) (_ @t36 @t22))) @t34))) % 0.43/0.94 (assume @p6 (= (lambda (@list @t44 @t43) (= @t44 @t43)) (lambda @t42 (forall @t41 (= (_ @t6 @t40) (_ @t6 @t39)))))) % 0.43/0.94 (assume @p7 (forall @t33 (=> @t46 (not @t31)))) % 0.43/0.94 (assume @p8 (forall (@list @t1 @t49) (=> (forall @t64 (=> (_ @t63 @t1) @t62)) (exists @t57 (forall @t56 (= @t55 (exists @t53 (and @t52 (_ @t50 @t47))))))))) % 0.43/0.94 (assume @p9 (forall @t33 (exists @t57 (forall @t69 (= @t68 (or @t67 (_ @t66 @t30))))))) % 0.43/0.94 (assume @p10 (forall @t33 (not (and @t46 (_ (_ tptp.hF_Mirabelle_hmem @t30) @t1))))) % 0.43/0.94 (assume @p11 (forall @t29 (=> @t28 (not (=> @t26 (not @t23)))))) % 0.43/0.94 (assume @p12 (forall @t72 (exists @t57 (forall @t69 (= @t68 (exists @t71 (and (_ @t70 @t1) (_ @t66 @t7)))))))) % 0.43/0.94 (assume @p13 (forall (@list @t1 @t73) (exists @t57 (forall @t69 (= @t68 (and @t67 (_ @t73 @t65))))))) % 0.43/0.94 (assume @p14 (forall @t72 (not (_ @t45 @t1)))) % 0.43/0.94 (assume @p15 (forall @t38 (not (= @t27 @t25)))) % 0.43/0.94 (assume @p16 (forall @t38 (not (= @t27 @t22)))) % 0.43/0.94 (assume @p17 (forall (@list @t1 @t74) (exists @t57 (forall @t56 (= @t55 (exists @t53 (and @t52 (= @t47 @t75)))))))) % 0.43/0.94 (assume @p18 (forall @t38 (= (_ tptp.hF_Mirabelle_hfst @t27) @t25))) % 0.43/0.94 (assume @p19 (forall @t38 (= (_ tptp.hF_Mirabelle_hsnd @t27) @t22))) % 0.43/0.94 (assume @p20 (forall (@list @t4 @t49 @t76) (=> (forall @t64 (=> (_ @t63 @t4) @t62)) (= (_ @t79 (_ (_ tptp.hF_Mir1248913145eplace @t4) @t49)) (exists @t53 (and @t78 @t77)))))) % 0.43/0.94 (assume @p21 (forall (@list @t1 @t4) (= (_ @t45 @t82) (exists @t71 (and @t81 @t80))))) % 0.43/0.94 (assume @p22 (forall (@list @t76 @t4 @t49) (= (_ @t79 @t84) (exists @t53 (and @t78 @t77 (forall @t71 (=> (_ @t50 @t7) (= @t7 @t76)))))))) % 0.43/0.94 (assume @p23 (forall (@list @t1 @t73 @t4) (= (_ @t45 (_ @t86 @t4)) (and @t85 (_ @t45 @t4))))) % 0.43/0.94 (assume @p24 (forall (@list @t76 @t4 @t74) (= (_ @t79 @t87) (exists @t53 (and @t78 (= @t76 @t75)))))) % 0.43/0.94 (assume @p25 (forall @t72 (= (_ tptp.hF_Mirabelle_Abs_hf @t32) @t1))) % 0.43/0.94 (assume @p26 (forall (@list @t4 @t89 @t74 @t88) (=> @t92 (=> (forall @t37 (=> @t91 (= (_ @t74 @t35) (_ @t88 @t35)))) (= @t87 (_ @t90 @t88)))))) % 0.43/0.94 (assume @p27 (forall (@list @t4 @t89 @t95 @t93) (=> @t92 (=> (forall @t97 (=> @t91 (= (_ (_ @t95 @t35) @t96) (_ (_ @t93 @t35) @t96)))) (= (_ @t83 @t95) (_ @t94 @t93)))))) % 0.43/0.94 (assume @p28 (forall @t33 (=> @t46 (not (= (_ tptp.hF_Mirabelle_HUnion @t1) @t30))))) % 0.43/0.94 (assume @p29 (forall @t102 (=> @t101 (= (_ tptp.hF_Mirabelle_Rep_hf @t99) @t98)))) % 0.43/0.94 (assume @p30 (forall @t33 (not (_ (_ tptp.hF_Mirabelle_hmem tptp.zero_z189798548lle_hf) @t103)))) % 0.43/0.94 (assume @p31 (forall (@list @t73) (= (_ @t86 tptp.zero_z189798548lle_hf) tptp.zero_z189798548lle_hf))) % 0.43/0.94 (assume @p32 (= (_ tptp.hF_Mirabelle_HUnion tptp.zero_z189798548lle_hf) tptp.zero_z189798548lle_hf)) % 0.43/0.94 (assume @p33 (forall (@list @t49) (= (_ (_ tptp.hF_Mirabelle_Replace tptp.zero_z189798548lle_hf) @t49) tptp.zero_z189798548lle_hf))) % 0.43/0.94 (assume @p34 (forall (@list @t74) (= (_ (_ tptp.hF_Mirabelle_RepFun tptp.zero_z189798548lle_hf) @t74) tptp.zero_z189798548lle_hf))) % 0.43/0.94 (assume @p35 (forall (@list @t25 @t22 @t74) (= (_ (_ tptp.hF_Mirabelle_RepFun @t105) @t74) (_ (_ tptp.hF_Mirabelle_hinsert (_ @t74 @t25)) (_ (_ tptp.hF_Mirabelle_RepFun @t22) @t74))))) % 0.43/0.94 (assume @p36 (forall (@list @t107 @t106) (= (_ tptp.hF_Mir434065167lation (_ (_ tptp.sup_su638957495lle_hf @t107) @t106)) (and (_ tptp.hF_Mir434065167lation @t107) (_ tptp.hF_Mir434065167lation @t106))))) % 0.43/0.94 (assume @p37 (forall @t111 (= (_ @t109 (_ @t110 @t108)) (or @t34 (_ @t109 @t108))))) % 0.43/0.94 (assume @p38 (forall @t38 (= (= (_ @t104 tptp.zero_z189798548lle_hf) @t112) @t34))) % 0.43/0.94 (assume @p39 (forall (@list @t1 @t25 @t22) (= (_ @t45 @t114) (or (_ @t45 @t25) (_ @t45 @t22))))) % 0.43/0.94 (assume @p40 (forall @t115 (= (_ (_ tptp.sup_su638957495lle_hf tptp.zero_z189798548lle_hf) @t4) @t4))) % 0.43/0.94 (assume @p41 (forall (@list @t116 @t117) (= (_ @t119 @t118) (_ @t117 @t116)))) % 0.43/0.94 (assume @p42 (forall (@list @t25 @t73) (= (_ @t121 @t120) (_ @t73 @t25)))) % 0.43/0.94 (assume @p43 (forall @t126 (= (_ tptp.collect_nat (lambda @t125 (_ @t124 @t122))) @t122))) % 0.43/0.94 (assume @p44 (forall @t129 (= (_ tptp.collec2046588256lle_hf (lambda @t41 (_ @t128 @t127))) @t127))) % 0.43/0.94 (assume @p45 (forall (@list @t73 @t130) (=> (forall @t37 (= @t131 (_ @t130 @t35))) (= @t120 (_ tptp.collec2046588256lle_hf @t130))))) % 0.43/0.94 (assume @p46 (forall (@list @t117 @t132) (=> (forall @t134 (= (_ @t117 @t133) (_ @t132 @t133))) (= @t118 (_ tptp.collect_nat @t132))))) % 0.43/0.94 (assume @p47 (forall @t115 (= (_ @t135 tptp.zero_z189798548lle_hf) @t4))) % 0.43/0.94 (assume @p48 (forall (@list @t4 @t89 @t74) (= (_ (_ tptp.hF_Mirabelle_RepFun @t136) @t74) (_ (_ tptp.sup_su638957495lle_hf @t87) (_ @t90 @t74))))) % 0.43/0.94 (assume @p49 (forall (@list @t4 @t89) (= (_ tptp.hF_Mirabelle_HUnion @t136) (_ (_ tptp.sup_su638957495lle_hf @t82) (_ tptp.hF_Mirabelle_HUnion @t89))))) % 0.43/0.94 (assume @p50 (forall (@list @t4 @t89 @t49) (= (_ (_ tptp.hF_Mirabelle_Replace @t136) @t49) (_ (_ tptp.sup_su638957495lle_hf @t84) (_ @t94 @t49))))) % 0.43/0.94 (assume @p51 (forall @t138 (= (_ tptp.hF_Mirabelle_HUnion @t137) (_ @t113 @t82)))) % 0.43/0.94 (assume @p52 (forall @t141 (=> @t140 (=> (forall @t37 (=> @t131 (forall (@list @t96) (=> @t139 (_ @t73 (_ (_ tptp.hF_Mirabelle_hinsert @t96) @t35)))))) @t85)))) % 0.43/0.94 (assume @p53 (= tptp.hF_Mirabelle_hinsert (lambda @t42 (_ @t144 @t143)))) % 0.43/0.94 (assume @p54 (forall @t147 (= (_ @t145 (_ @t146 @t10)) (_ @t146 (_ @t145 @t10))))) % 0.43/0.94 (assume @p55 (forall (@list @t25 @t22 @t108 @t148) (= (= (_ @t104 @t112) (_ (_ tptp.hF_Mirabelle_hinsert @t108) (_ (_ tptp.hF_Mirabelle_hinsert @t148) tptp.zero_z189798548lle_hf))) (or (and (= @t25 @t108) (= @t22 @t148)) (and (= @t25 @t148) (= @t22 @t108)))))) % 0.43/0.94 (assume @p56 (forall @t138 (not (= @t137 tptp.zero_z189798548lle_hf)))) % 0.43/0.94 (assume @p57 (forall (@list @t1 @t4 @t89) (= (_ (_ tptp.sup_su638957495lle_hf @t149) @t89) (_ @t145 @t136)))) % 0.43/0.94 (assume @p58 (forall (@list @t89 @t1 @t4) (= (_ @t150 @t149) (_ @t145 (_ @t150 @t4))))) % 0.43/0.94 (assume @p59 (forall (@list @t30) (=> (not (= @t30 tptp.zero_z189798548lle_hf)) (not (forall (@list @t152 @t151) (=> (= @t30 (_ (_ tptp.hF_Mirabelle_hinsert @t152) @t151)) (_ (_ tptp.hF_Mirabelle_hmem @t152) @t151))))))) % 0.43/0.94 (assume @p60 (forall (@list @t73 @t10) (=> @t140 (=> (forall @t97 (=> @t131 (=> @t139 (=> (not (_ @t36 @t96)) (_ @t73 (_ (_ tptp.hF_Mirabelle_hinsert @t35) @t96)))))) (_ @t73 @t10))))) % 0.43/0.94 (assume @p61 (= tptp.hF_Mirabelle_hpair (lambda @t42 (_ (_ tptp.hF_Mirabelle_hinsert (_ @t142 @t143)) @t153)))) % 0.43/0.94 (assume @p62 (forall (@list @t10 @t30 @t1) (= (= @t10 (_ @t146 @t1)) (forall @t53 (= (_ @t51 @t10) (or @t52 (= @t48 @t30))))))) % 0.43/0.94 (assume @p63 (forall @t154 (not (_ @t109 tptp.zero_z189798548lle_hf)))) % 0.43/0.94 (assume @p64 (forall @t156 (= @t155 (forall @t41 (not (_ @t6 @t10)))))) % 0.43/0.94 (assume @p65 (forall @t33 (not (= @t103 tptp.zero_z189798548lle_hf)))) % 0.43/0.94 (assume @p66 (forall @t72 (_ (_ tptp.member_nat @t32) tptp.top_top_set_nat))) % 0.43/0.94 (assume @p67 (forall @t102 (=> @t101 (not (forall @t37 (not (= @t98 @t157))))))) % 0.43/0.94 (assume @p68 (forall (@list @t98 @t117) (=> @t101 (=> (forall @t37 (_ @t117 @t157)) @t158)))) % 0.43/0.94 (assume @p69 (forall @t72 (not (forall @t163 (=> (= @t1 @t162) (not @t161)))))) % 0.43/0.94 (assume @p70 (forall @t141 (=> (forall @t163 (=> @t161 (_ @t73 @t162))) @t85))) % 0.43/0.94 (assume @p71 (forall @t168 (=> @t167 (=> @t101 (= (= (_ tptp.hF_Mirabelle_Abs_hf @t164) @t99) @t165))))) % 0.43/0.94 (assume @p72 (_ tptp.hF_Mir434065167lation tptp.zero_z189798548lle_hf)) % 0.43/0.94 (assume @p73 (forall @t170 (= (_ (_ tptp.sup_su1790843629lle_hf tptp.top_to489427057lle_hf) @t169) tptp.top_to489427057lle_hf))) % 0.43/0.94 (assume @p74 (forall @t172 (= (_ (_ tptp.sup_sup_nat_o tptp.top_top_nat_o) @t171) tptp.top_top_nat_o))) % 0.43/0.94 (assume @p75 (forall @t174 (= (_ (_ tptp.sup_su1199008216e_hf_o tptp.top_to22270292e_hf_o) @t173) tptp.top_to22270292e_hf_o))) % 0.43/0.94 (assume @p76 (forall @t177 (= (_ @t176 @t175) tptp.top_top_set_nat))) % 0.43/0.94 (assume @p77 (forall @t170 (= (_ @t178 tptp.top_to489427057lle_hf) tptp.top_to489427057lle_hf))) % 0.43/0.94 (assume @p78 (forall @t172 (= (_ (_ tptp.sup_sup_nat_o @t171) tptp.top_top_nat_o) tptp.top_top_nat_o))) % 0.43/0.94 (assume @p79 (forall @t174 (= (_ (_ tptp.sup_su1199008216e_hf_o @t173) tptp.top_to22270292e_hf_o) tptp.top_to22270292e_hf_o))) % 0.43/0.94 (assume @p80 (forall @t177 (= (_ @t179 tptp.top_top_set_nat) tptp.top_top_set_nat))) % 0.43/0.94 (assume @p81 (forall (@list @t4 @t1) (=> @t181 (= (_ @t45 @t180) (forall @t71 (=> @t81 @t80)))))) % 0.43/0.94 (assume @p82 (forall @t184 (= (_ @t183 @t182) @t182))) % 0.43/0.94 (assume @p83 (forall @t187 (= (_ @t186 @t185) @t185))) % 0.43/0.94 (assume @p84 (forall @t154 (= (_ @t113 @t25) @t25))) % 0.43/0.94 (assume @p85 (forall @t177 (= (_ @t179 @t175) @t175))) % 0.43/0.94 (assume @p86 (forall @t170 (= (_ @t178 @t169) @t169))) % 0.43/0.94 (assume @p87 (forall @t72 (= (_ @t188 @t1) @t1))) % 0.43/0.94 (assume @p88 (forall @t191 (= (_ @t183 @t190) @t190))) % 0.43/0.94 (assume @p89 (forall @t194 (= (_ @t186 @t193) @t193))) % 0.43/0.94 (assume @p90 (forall @t38 (= (_ @t113 @t114) @t114))) % 0.43/0.94 (assume @p91 (forall @t197 (= (_ @t179 @t196) @t196))) % 0.43/0.94 (assume @p92 (forall @t200 (= (_ @t178 @t199) @t199))) % 0.43/0.94 (assume @p93 (forall @t33 (= (_ @t188 @t201) @t201))) % 0.43/0.94 (assume @p94 (forall @t191 (= (_ @t202 @t189) @t190))) % 0.43/0.94 (assume @p95 (forall @t194 (= (_ @t203 @t192) @t193))) % 0.43/0.94 (assume @p96 (forall @t38 (= (_ @t204 @t22) @t114))) % 0.43/0.94 (assume @p97 (= (_ tptp.hF_Mirabelle_HInter tptp.zero_z189798548lle_hf) tptp.zero_z189798548lle_hf)) % 0.43/0.94 (assume @p98 (forall @t208 (= @t207 (_ @t206 (_ @t179 @t205))))) % 0.43/0.94 (assume @p99 (forall @t212 (= @t211 (_ @t210 (_ @t178 @t209))))) % 0.43/0.94 (assume @p100 (forall @t147 (= @t216 (_ @t214 @t213)))) % 0.43/0.94 (assume @p101 (forall @t220 (= (_ @t218 (_ @t183 @t217)) @t219))) % 0.43/0.94 (assume @p102 (forall @t224 (= (_ @t222 (_ @t186 @t221)) @t223))) % 0.43/0.94 (assume @p103 (forall @t227 (= (_ @t225 (_ @t113 @t108)) @t226))) % 0.43/0.94 (assume @p104 (= tptp.sup_sup_set_nat (lambda @t230 (_ (_ tptp.sup_sup_set_nat @t229) @t228)))) % 0.43/0.94 (assume @p105 (= tptp.sup_su1790843629lle_hf (lambda @t233 (_ (_ tptp.sup_su1790843629lle_hf @t232) @t231)))) % 0.43/0.94 (assume @p106 (= tptp.sup_su638957495lle_hf (lambda @t13 (_ (_ tptp.sup_su638957495lle_hf @t7) @t5)))) % 0.43/0.94 (assume @p107 (= tptp.sup_sup_set_nat (lambda @t236 (_ (_ tptp.sup_sup_set_nat @t235) @t234)))) % 0.43/0.94 (assume @p108 (= tptp.sup_su1790843629lle_hf (lambda @t239 (_ (_ tptp.sup_su1790843629lle_hf @t238) @t237)))) % 0.43/0.94 (assume @p109 (= tptp.sup_su638957495lle_hf (lambda @t42 (_ @t144 @t40)))) % 0.43/0.94 (assume @p110 (forall @t208 (= (_ (_ tptp.sup_sup_set_nat @t196) @t205) @t207))) % 0.43/0.94 (assume @p111 (forall @t212 (= (_ (_ tptp.sup_su1790843629lle_hf @t199) @t209) @t211))) % 0.43/0.94 (assume @p112 (forall @t147 (= (_ (_ tptp.sup_su638957495lle_hf @t201) @t10) @t216))) % 0.43/0.94 (assume @p113 (forall @t240 (= (_ @t202 @t217) @t219))) % 0.43/0.94 (assume @p114 (forall @t241 (= (_ @t203 @t221) @t223))) % 0.43/0.94 (assume @p115 (forall @t111 (= (_ @t204 @t108) @t226))) % 0.43/0.94 (assume @p116 (forall @t246 (=> (= @t245 (_ @t243 @t189)) (= (_ @t183 @t245) @t244)))) % 0.43/0.94 (assume @p117 (forall @t251 (=> (= @t250 (_ @t248 @t192)) (= (_ @t186 @t250) @t249)))) % 0.43/0.94 (assume @p118 (forall @t255 (=> (= @t89 (_ @t253 @t22)) (= (_ @t113 @t89) @t254)))) % 0.43/0.94 (assume @p119 (forall @t257 (=> (= @t122 (_ @t243 @t182)) (= (_ @t256 @t189) @t244)))) % 0.43/0.94 (assume @p120 (forall @t259 (=> (= @t127 (_ @t248 @t185)) (= (_ @t258 @t192) @t249)))) % 0.43/0.94 (assume @p121 (forall @t260 (=> (= @t4 (_ @t253 @t25)) (= (_ @t135 @t22) @t254)))) % 0.43/0.94 (assume @p122 (forall @t72 (_ @t261 tptp.top_to489427057lle_hf))) % 0.43/0.94 (assume @p123 (forall @t262 @t167)) % 0.43/0.94 (assume @p124 (forall (@list @t4 @t25) (=> @t181 (= (_ tptp.hF_Mirabelle_HInter @t137) (_ @t263 @t180))))) % 0.43/0.94 (assume @p125 (_ (_ (_ tptp.type_d1794767497hf_nat tptp.hF_Mirabelle_Rep_hf) tptp.hF_Mirabelle_Abs_hf) tptp.top_top_set_nat)) % 0.43/0.94 (assume @p126 (forall @t197 (= (_ @t266 @t195) @t265))) % 0.43/0.94 (assume @p127 (forall @t200 (= (_ @t269 @t198) @t268))) % 0.43/0.94 (assume @p128 (forall @t33 (= (_ @t272 @t30) @t271))) % 0.43/0.94 (assume @p129 (forall @t191 (= (_ @t275 @t189) @t274))) % 0.43/0.94 (assume @p130 (forall @t194 (= (_ @t278 @t192) @t277))) % 0.43/0.94 (assume @p131 (forall @t38 (= (_ @t280 @t22) @t279))) % 0.43/0.94 (assume @p132 (forall @t197 (= (_ @t264 @t265) @t265))) % 0.43/0.94 (assume @p133 (forall @t200 (= (_ @t267 @t268) @t268))) % 0.43/0.94 (assume @p134 (forall @t33 (= (_ @t270 @t271) @t271))) % 0.43/0.94 (assume @p135 (forall @t191 (= (_ @t273 @t274) @t274))) % 0.43/0.94 (assume @p136 (forall @t194 (= (_ @t276 @t277) @t277))) % 0.43/0.94 (assume @p137 (forall @t38 (= (_ @t263 @t279) @t279))) % 0.43/0.94 (assume @p138 (forall @t177 (= (_ @t264 @t175) @t175))) % 0.43/0.94 (assume @p139 (forall @t170 (= (_ @t267 @t169) @t169))) % 0.43/0.94 (assume @p140 (forall @t72 (= (_ @t270 @t1) @t1))) % 0.43/0.94 (assume @p141 (forall @t184 (= (_ @t273 @t182) @t182))) % 0.43/0.94 (assume @p142 (forall @t187 (= (_ @t276 @t185) @t185))) % 0.43/0.94 (assume @p143 (forall @t154 (= (_ @t263 @t25) @t25))) % 0.43/0.94 (assume @p144 (forall @t187 (= (_ @t276 tptp.top_to489427057lle_hf) @t185))) % 0.43/0.94 (assume @p145 (forall @t283 (= (_ @t282 tptp.top_top_nat_o) @t281))) % 0.43/0.94 (assume @p146 (forall @t286 (= (_ @t285 tptp.top_to22270292e_hf_o) @t284))) % 0.43/0.94 (assume @p147 (forall @t184 (= (_ @t273 tptp.top_top_set_nat) @t182))) % 0.43/0.94 (assume @p148 (forall @t194 (= (= tptp.top_to489427057lle_hf @t277) @t287))) % 0.43/0.94 (assume @p149 (forall @t291 (= (= tptp.top_top_nat_o @t290) @t289))) % 0.43/0.94 (assume @p150 (forall @t295 (= (= tptp.top_to22270292e_hf_o @t294) @t293))) % 0.43/0.94 (assume @p151 (forall @t191 (= (= tptp.top_top_set_nat @t274) @t296))) % 0.43/0.94 (assume @p152 (forall @t187 (= (_ @t297 @t185) @t185))) % 0.43/0.94 (assume @p153 (forall @t283 (= (_ @t298 @t281) @t281))) % 0.43/0.94 (assume @p154 (forall @t286 (= (_ @t299 @t284) @t284))) % 0.43/0.94 (assume @p155 (forall @t184 (= (_ @t300 @t182) @t182))) % 0.43/0.94 (assume @p156 (forall @t194 (= (= @t277 tptp.top_to489427057lle_hf) @t287))) % 0.43/0.94 (assume @p157 (forall @t291 (= (= @t290 tptp.top_top_nat_o) @t289))) % 0.43/0.94 (assume @p158 (forall @t295 (= (= @t294 tptp.top_to22270292e_hf_o) @t293))) % 0.43/0.94 (assume @p159 (forall @t191 (= (= @t274 tptp.top_top_set_nat) @t296))) % 0.43/0.94 (assume @p160 (forall @t200 (= (= tptp.top_to489427057lle_hf @t268) @t301))) % 0.43/0.94 (assume @p161 (forall @t306 (= (= tptp.top_top_nat_o @t305) @t303))) % 0.43/0.94 (assume @p162 (forall @t311 (= (= tptp.top_to22270292e_hf_o @t310) @t308))) % 0.43/0.94 (assume @p163 (forall @t197 (= (= tptp.top_top_set_nat @t265) @t312))) % 0.43/0.94 (assume @p164 (forall @t200 (= (= @t268 tptp.top_to489427057lle_hf) @t301))) % 0.43/0.94 (assume @p165 (forall @t306 (= (= @t305 tptp.top_top_nat_o) @t303))) % 0.43/0.94 (assume @p166 (forall @t311 (= (= @t310 tptp.top_to22270292e_hf_o) @t308))) % 0.43/0.94 (assume @p167 (forall @t197 (= (= @t265 tptp.top_top_set_nat) @t312))) % 0.43/0.94 (assume @p168 (forall @t170 (= (_ @t267 tptp.top_to489427057lle_hf) @t169))) % 0.43/0.94 (assume @p169 (forall @t172 (= (_ @t304 tptp.top_top_nat_o) @t171))) % 0.43/0.94 (assume @p170 (forall @t174 (= (_ @t309 tptp.top_to22270292e_hf_o) @t173))) % 0.43/0.94 (assume @p171 (forall @t177 (= (_ @t264 tptp.top_top_set_nat) @t175))) % 0.43/0.94 (assume @p172 (forall @t170 (= (_ @t297 @t169) @t169))) % 0.43/0.94 (assume @p173 (forall @t172 (= (_ @t298 @t171) @t171))) % 0.43/0.94 (assume @p174 (forall @t174 (= (_ @t299 @t173) @t173))) % 0.43/0.94 (assume @p175 (forall @t177 (= (_ @t300 @t175) @t175))) % 0.43/0.94 (assume @p176 (forall @t197 (= (_ @t264 @t196) @t175))) % 0.43/0.94 (assume @p177 (forall @t200 (= (_ @t267 @t199) @t169))) % 0.43/0.94 (assume @p178 (forall @t33 (= (_ @t270 @t201) @t1))) % 0.43/0.94 (assume @p179 (forall @t197 (= (_ @t179 @t265) @t175))) % 0.43/0.94 (assume @p180 (forall @t200 (= (_ @t178 @t268) @t169))) % 0.43/0.94 (assume @p181 (forall @t33 (= (_ @t188 @t271) @t1))) % 0.43/0.94 (assume @p182 (forall (@list @t313 @t1 @t30) (= (_ @t314 @t271) (and (_ @t314 @t1) (_ @t314 @t30))))) % 0.43/0.94 (assume @p183 (forall @t115 (= (_ (_ tptp.inf_in956532509lle_hf tptp.zero_z189798548lle_hf) @t4) tptp.zero_z189798548lle_hf))) % 0.43/0.94 (assume @p184 (forall @t115 (= (_ @t315 tptp.zero_z189798548lle_hf) tptp.zero_z189798548lle_hf))) % 0.43/0.94 (assume @p185 (= @t316 tptp.zero_z189798548lle_hf)) % 0.43/0.94 (assume @p186 (forall @t208 (= @t318 (_ @t317 (_ @t264 @t205))))) % 0.43/0.94 (assume @p187 (forall @t212 (= @t320 (_ @t319 (_ @t267 @t209))))) % 0.43/0.94 (assume @p188 (forall @t147 (= @t324 (_ @t322 @t321)))) % 0.43/0.94 (assume @p189 (forall @t220 (= (_ @t325 (_ @t273 @t217)) @t326))) % 0.43/0.94 (assume @p190 (forall @t224 (= (_ @t327 (_ @t276 @t221)) @t328))) % 0.43/0.94 (assume @p191 (forall @t227 (= (_ @t329 (_ @t263 @t108)) @t330))) % 0.43/0.94 (assume @p192 (= tptp.inf_inf_set_nat (lambda @t230 (_ (_ tptp.inf_inf_set_nat @t229) @t228)))) % 0.43/0.94 (assume @p193 (= tptp.inf_in923488851lle_hf (lambda @t233 (_ (_ tptp.inf_in923488851lle_hf @t232) @t231)))) % 0.43/0.94 (assume @p194 (= tptp.inf_in956532509lle_hf (lambda @t13 (_ (_ tptp.inf_in956532509lle_hf @t7) @t5)))) % 0.43/0.94 (assume @p195 (= tptp.inf_inf_set_nat (lambda @t236 (_ (_ tptp.inf_inf_set_nat @t235) @t234)))) % 0.43/0.94 (assume @p196 (= tptp.inf_in923488851lle_hf (lambda @t239 (_ (_ tptp.inf_in923488851lle_hf @t238) @t237)))) % 0.43/0.94 (assume @p197 (= tptp.inf_in956532509lle_hf (lambda @t42 (_ (_ tptp.inf_in956532509lle_hf @t39) @t40)))) % 0.43/0.94 (assume @p198 (forall @t208 (= (_ @t266 @t205) @t318))) % 0.43/0.94 (assume @p199 (forall @t212 (= (_ @t269 @t209) @t320))) % 0.43/0.94 (assume @p200 (forall @t147 (= (_ @t272 @t10) @t324))) % 0.43/0.94 (assume @p201 (forall @t240 (= (_ @t275 @t217) @t326))) % 0.43/0.94 (assume @p202 (forall @t241 (= (_ @t278 @t221) @t328))) % 0.43/0.94 (assume @p203 (forall @t111 (= (_ @t280 @t108) @t330))) % 0.43/0.94 (assume @p204 (forall @t246 (=> (= @t245 (_ @t331 @t189)) (= (_ @t273 @t245) @t332)))) % 0.43/0.94 (assume @p205 (forall @t251 (=> (= @t250 (_ @t333 @t192)) (= (_ @t276 @t250) @t334)))) % 0.43/0.94 (assume @p206 (forall @t255 (=> (= @t89 (_ @t335 @t22)) (= (_ @t263 @t89) @t336)))) % 0.43/0.94 (assume @p207 (forall @t257 (=> (= @t122 (_ @t331 @t182)) (= (_ @t337 @t189) @t332)))) % 0.43/0.94 (assume @p208 (forall @t259 (=> (= @t127 (_ @t333 @t185)) (= (_ @t338 @t192) @t334)))) % 0.43/0.94 (assume @p209 (forall @t260 (=> (= @t4 (_ @t335 @t25)) (= (_ @t315 @t22) @t336)))) % 0.43/0.94 (assume @p210 (forall @t339 (= (_ (_ tptp.sup_su638957495lle_hf @t323) @t1) (_ (_ tptp.inf_in956532509lle_hf (_ @t214 @t1)) (_ (_ tptp.sup_su638957495lle_hf @t10) @t1))))) % 0.43/0.94 (assume @p211 (forall @t147 @t340)) % 0.43/0.94 (assume @p212 (forall @t339 (= (_ (_ tptp.inf_in956532509lle_hf @t215) @t1) (_ (_ tptp.sup_su638957495lle_hf (_ @t322 @t1)) (_ (_ tptp.inf_in956532509lle_hf @t10) @t1))))) % 0.43/0.94 (assume @p213 (forall @t147 @t341)) % 0.43/0.94 (assume @p214 (forall @t147 (=> (forall @t343 (= (_ @t342 (_ (_ tptp.inf_in956532509lle_hf @t96) @t54)) (_ (_ tptp.inf_in956532509lle_hf (_ @t342 @t96)) (_ @t342 @t54)))) @t341))) % 0.43/0.94 (assume @p215 (forall @t147 (=> (forall @t343 (= (_ @t344 (_ (_ tptp.sup_su638957495lle_hf @t96) @t54)) (_ (_ tptp.sup_su638957495lle_hf (_ @t344 @t96)) (_ @t344 @t54)))) @t340))) % 0.43/0.94 (assume @p216 (forall @t156 (=> (not @t155) (exists (@list @t345) (and (_ (_ tptp.hF_Mirabelle_hmem @t345) @t10) (= (_ (_ tptp.inf_in956532509lle_hf @t345) @t10) tptp.zero_z189798548lle_hf)))))) % 0.43/0.94 (assume @p217 (forall @t351 (and (=> @t349 (= @t348 (_ @t145 @t347))) (=> @t350 (= @t348 @t347))))) % 0.43/0.94 (assume @p218 (forall @t351 (and (=> @t349 (= @t353 (_ @t145 @t352))) (=> @t350 (= @t353 @t352))))) % 0.43/0.94 (assume @p219 (forall @t72 (= (= tptp.zero_z189798548lle_hf @t1) (= @t1 tptp.zero_z189798548lle_hf)))) % 0.43/0.94 (assume @p220 (forall @t262 (= (= tptp.zero_zero_nat @t164) @t354))) % 0.43/0.94 (assume @p221 (forall @t129 (=> (forall @t37 (_ @t355 @t127)) (= tptp.top_to489427057lle_hf @t127)))) % 0.43/0.94 (assume @p222 (forall @t126 (=> (forall @t134 (_ @t356 @t122)) (= tptp.top_top_set_nat @t122)))) % 0.43/0.94 (assume @p223 (exists @t37 (_ @t355 tptp.top_to489427057lle_hf))) % 0.43/0.94 (assume @p224 (exists @t134 (_ @t356 tptp.top_top_set_nat))) % 0.43/0.94 (assume @p225 (forall @t126 (= (_ @t256 tptp.top_top_set_nat) tptp.top_top_set_nat))) % 0.43/0.94 (assume @p226 (forall @t357 (= (_ @t176 @t245) tptp.top_top_set_nat))) % 0.43/0.94 (assume @p227 (= tptp.top_top_set_nat (_ tptp.collect_nat tptp.top_top_nat_o))) % 0.43/0.94 (assume @p228 (forall (@list @t358 @t362 @t359) (=> @t364 (= (exists (@list @t361) (_ @t359 @t361)) (exists @t360 (_ @t359 (_ @t358 @t39))))))) % 0.43/0.94 (assume @p229 (forall (@list @t358 @t362 @t365) (=> @t364 (not (forall @t134 (not (= @t365 (_ @t362 @t133)))))))) % 0.43/0.94 (assume @p230 (forall @t154 (= (_ tptp.hF_Mirabelle_HF (_ tptp.hF_Mirabelle_hfset @t25)) @t25))) % 0.43/0.94 (assume @p231 (forall @t368 (=> @t367 (_ (_ tptp.member_nat @t366) @t122)))) % 0.43/0.94 (assume @p232 (forall (@list @t122 @t245) (= (= @t369 tptp.top_top_set_nat) (and (= @t122 tptp.top_top_set_nat) (= @t245 tptp.top_top_set_nat))))) % 0.43/0.94 (assume @p233 (forall @t376 (=> (=> @t375 @t373) @t372))) % 0.43/0.94 (assume @p234 (forall @t383 (=> (=> @t382 @t380) @t379))) % 0.43/0.94 (assume @p235 (forall @t384 (= @t372 (or @t373 @t374)))) % 0.43/0.94 (assume @p236 (forall @t385 (= @t379 (or @t380 @t381)))) % 0.43/0.94 (assume @p237 (forall @t384 (=> @t372 (=> (not @t373) @t374)))) % 0.43/0.94 (assume @p238 (forall @t385 (=> @t379 (=> (not @t380) @t381)))) % 0.43/0.94 (assume @p239 (forall @t384 (=> @t373 @t372))) % 0.43/0.94 (assume @p240 (forall @t385 (=> @t380 @t379))) % 0.43/0.94 (assume @p241 (forall @t376 (=> @t374 @t372))) % 0.43/0.94 (assume @p242 (forall @t383 (=> @t381 @t379))) % 0.43/0.94 (assume @p243 (forall @t357 (= (_ @t300 @t245) @t245))) % 0.43/0.94 (assume @p244 (forall @t126 (= (_ @t337 tptp.top_top_set_nat) @t122))) % 0.43/0.94 (assume @p245 (forall @t368 (=> @t367 (= (_ @t362 @t366) @t1)))) % 0.43/0.94 (assume @p246 (forall @t388 (=> @t367 (=> @t387 (= (_ @t358 @t386) @t98))))) % 0.43/0.94 (assume @p247 (forall (@list @t358 @t362 @t122 @t1 @t30) (=> @t367 (= (= @t366 (_ @t358 @t30)) @t31)))) % 0.43/0.94 (assume @p248 (forall (@list @t358 @t362 @t122 @t98 @t117) (=> @t367 (=> @t387 (=> (forall @t37 (_ @t117 @t389)) @t158))))) % 0.43/0.94 (assume @p249 (forall (@list @t358 @t362 @t122 @t164 @t98) (=> @t367 (=> @t390 (=> @t387 (= (= (_ @t362 @t164) @t386) @t165)))))) % 0.43/0.94 (assume @p250 (forall (@list @t358 @t362 @t122 @t73 @t1) (=> @t367 (=> (forall @t163 (=> @t392 (_ @t73 @t391))) @t85)))) % 0.43/0.94 (assume @p251 (forall @t388 (=> @t367 (=> @t387 (not (forall @t37 (not (= @t98 @t389)))))))) % 0.43/0.94 (assume @p252 (forall @t368 (=> @t367 (not (forall @t163 (=> (= @t1 @t391) (not @t392))))))) % 0.43/0.94 (assume @p253 (forall (@list @t358 @t122 @t362) (=> (forall @t37 (_ (_ tptp.member_nat @t389) @t122)) (=> (forall @t37 (= (_ @t362 @t389) @t35)) (=> (forall @t163 (=> @t392 (= (_ @t358 @t391) @t159))) @t367))))) % 0.43/0.94 (assume @p254 (= tptp.top_to22270292e_hf_o (lambda @t41 (_ @t128 tptp.top_to489427057lle_hf)))) % 0.43/0.94 (assume @p255 (= tptp.top_top_nat_o (lambda @t125 (_ @t124 tptp.top_top_set_nat)))) % 0.43/0.94 (assume @p256 (= (_ tptp.hF_Mirabelle_hcard tptp.zero_z189798548lle_hf) tptp.zero_zero_nat)) % 0.43/0.94 (assume @p257 (forall @t395 (= (_ @t393 @t394) @t394))) % 0.43/0.94 (assume @p258 (forall @t401 (= @t400 (or @t398 @t396)))) % 0.43/0.94 (assume @p259 (forall @t405 (= @t404 (or @t34 @t402)))) % 0.43/0.94 (assume @p260 (forall @t409 (=> (=> (not @t408) @t398) @t407))) % 0.43/0.94 (assume @p261 (forall @t413 (=> (=> (not @t412) @t34) @t411))) % 0.43/0.94 (assume @p262 (forall @t384 (=> @t373 (=> @t374 @t414)))) % 0.43/0.94 (assume @p263 (forall @t385 (=> @t380 (=> @t381 @t416)))) % 0.43/0.94 (assume @p264 (forall @t384 (= @t414 (and @t373 @t374)))) % 0.43/0.94 (assume @p265 (forall @t385 (= @t416 (and @t380 @t381)))) % 0.43/0.94 (assume @p266 (forall @t424 @t423)) % 0.43/0.94 (assume @p267 (forall @t432 @t431)) % 0.43/0.94 (assume @p268 (forall @t424 @t433)) % 0.43/0.94 (assume @p269 (forall @t432 @t434)) % 0.43/0.94 (assume @p270 (forall @t437 (= (_ (_ tptp.inf_in923488851lle_hf @t436) @t428) @t435))) % 0.43/0.94 (assume @p271 (forall @t441 @t440)) % 0.43/0.94 (assume @p272 (forall @t437 @t444)) % 0.43/0.94 (assume @p273 (forall @t441 @t445)) % 0.43/0.94 (assume @p274 (forall @t437 @t446)) % 0.43/0.94 (assume @p275 (forall (@list @t25 @t250 @t425) (= (_ (_ tptp.sup_su1790843629lle_hf @t428) @t425) (_ @t427 (_ (_ tptp.sup_su1790843629lle_hf @t250) @t425))))) % 0.43/0.94 (assume @p276 (forall (@list @t127 @t25 @t250) (= (_ @t258 @t428) (_ @t427 @t377)))) % 0.43/0.94 (assume @p277 (forall @t72 (= (_ @t393 tptp.top_to489427057lle_hf) tptp.top_to489427057lle_hf))) % 0.43/0.94 (assume @p278 (forall @t262 (= (_ @t447 tptp.top_top_set_nat) tptp.top_top_set_nat))) % 0.43/0.94 (assume @p279 (forall @t384 (=> @t414 (not (=> @t373 @t375))))) % 0.43/0.94 (assume @p280 (forall @t385 (=> @t416 (not (=> @t380 @t382))))) % 0.43/0.94 (assume @p281 (forall @t384 (=> @t414 @t373))) % 0.43/0.94 (assume @p282 (forall @t385 (=> @t416 @t380))) % 0.43/0.94 (assume @p283 (forall @t384 (=> @t414 @t374))) % 0.43/0.94 (assume @p284 (forall @t385 (=> @t416 @t381))) % 0.43/0.94 (assume @p285 (forall @t424 (and @t433 @t423))) % 0.43/0.94 (assume @p286 (forall @t432 (and @t434 @t431))) % 0.43/0.94 (assume @p287 (forall @t441 (and @t445 @t440))) % 0.43/0.94 (assume @p288 (forall @t437 (and @t446 @t444))) % 0.43/0.94 (assume @p289 (forall @t450 (=> @t396 (exists @t449 (and (= @t122 (_ @t419 @t448)) (not (_ @t119 @t448))))))) % 0.43/0.94 (assume @p290 (forall @t453 (=> @t402 (exists @t452 (and (= @t127 (_ @t427 @t451)) (not (_ @t121 @t451))))))) % 0.43/0.94 (assume @p291 (forall (@list @t1 @t30 @t127) (= (_ @t393 (_ @t454 @t127)) (_ @t454 @t394)))) % 0.43/0.94 (assume @p292 (forall (@list @t116 @t122 @t397 @t245) (=> @t439 (=> (not (_ @t456 @t245)) (= (= @t459 @t406) (and (=> @t398 @t458) (=> @t457 (exists (@list @t455) (and (= @t122 (_ @t399 @t455)) (not (_ @t456 @t455)) (= @t245 (_ @t419 @t455)) (not (_ @t119 @t455))))))))))) % 0.43/0.94 (assume @p293 (forall (@list @t25 @t127 @t22 @t250) (=> @t443 (=> (not (_ @t461 @t250)) (= (= @t436 @t410) (and (=> @t34 @t463) (=> @t462 (exists (@list @t460) (and (= @t127 (_ @t403 @t460)) (not (_ @t461 @t460)) (= @t250 (_ @t427 @t460)) (not (_ @t121 @t460))))))))))) % 0.43/0.94 (assume @p294 (forall @t450 (=> @t396 (= @t459 @t122)))) % 0.43/0.94 (assume @p295 (forall @t453 (=> @t402 (= @t436 @t127)))) % 0.43/0.94 (assume @p296 (forall (@list @t164 @t122 @t245) (=> (not @t390) (=> (not (_ @t166 @t245)) (= (= (_ @t447 @t122) (_ @t447 @t245)) @t458))))) % 0.43/0.94 (assume @p297 (forall (@list @t1 @t127 @t250) (=> (not @t464) (=> (not (_ @t261 @t250)) (= (= @t394 (_ @t393 @t250)) @t463))))) % 0.43/0.94 (assume @p298 (forall (@list @t164 @t122) (=> @t390 (not (forall @t449 (=> (= @t122 (_ @t447 @t448)) (_ @t166 @t448))))))) % 0.43/0.94 (assume @p299 (forall @t395 (=> @t464 (not (forall @t452 (=> (= @t127 (_ @t393 @t451)) (_ @t261 @t451))))))) % 0.43/0.94 (assume @p300 (forall @t409 (=> @t408 @t407))) % 0.43/0.94 (assume @p301 (forall @t413 (=> @t412 @t411))) % 0.43/0.94 (assume @p302 (forall (@list @t116 @t245) (_ @t119 @t420))) % 0.43/0.94 (assume @p303 (forall (@list @t25 @t250) (_ @t121 @t428))) % 0.43/0.94 (assume @p304 (forall @t401 (=> @t400 (=> @t457 @t396)))) % 0.43/0.94 (assume @p305 (forall @t405 (=> @t404 (=> @t462 @t402)))) % 0.43/0.94 (assume @p306 (forall @t38 (= (_ tptp.hF_Mirabelle_hfset @t105) (_ @t427 (_ tptp.hF_Mirabelle_hfset @t22))))) % 0.43/0.94 (assume @p307 (forall @t33 (= (_ (_ tptp.plus_plus_nat (_ tptp.hF_Mirabelle_hcard @t201)) (_ tptp.hF_Mirabelle_hcard @t271)) (_ (_ tptp.plus_plus_nat (_ tptp.hF_Mirabelle_hcard @t1)) @t465)))) % 0.43/0.94 (assume @p308 (forall @t33 (and (=> @t46 (= @t466 @t465)) (=> (not @t46) (= @t466 (_ tptp.suc @t465)))))) % 0.43/0.94 (assume @p309 (forall @t470 (= (= @t469 (_ @t468 @t370)) @t467))) % 0.43/0.94 (assume @p310 (forall (@list @t397 @t116 @t370) (= (= @t472 (_ (_ tptp.plus_plus_nat @t370) @t116)) @t467))) % 0.43/0.94 (assume @p311 (forall @t168 (= (= tptp.zero_zero_nat @t474) @t473))) % 0.43/0.94 (assume @p312 (forall @t168 (= (= @t474 tptp.zero_zero_nat) @t473))) % 0.43/0.94 (assume @p313 (forall @t476 (= (= @t116 @t469) @t475))) % 0.43/0.94 (assume @p314 (forall @t476 (= (= @t116 @t472) @t475))) % 0.43/0.94 (assume @p315 (forall @t476 (= (= @t469 @t116) @t475))) % 0.43/0.94 (assume @p316 (forall (@list @t397 @t116) (= (= @t472 @t116) @t475))) % 0.43/0.94 (assume @p317 (forall @t477 (= (_ @t468 tptp.zero_zero_nat) @t116))) % 0.43/0.94 (assume @p318 (forall @t477 (= (_ (_ tptp.plus_plus_nat tptp.zero_zero_nat) @t116) @t116))) % 0.43/0.94 (assume @p319 (forall @t470 (= (_ (_ tptp.plus_plus_nat @t469) @t370) (_ @t468 (_ @t471 @t370))))) % 0.43/0.94 (assume @p320 (forall (@list @t481 @t479 @t480 @t478) (=> (and (= @t481 @t479) (= @t480 @t478)) (= (_ (_ tptp.plus_plus_nat @t481) @t480) (_ (_ tptp.plus_plus_nat @t479) @t478))))) % 0.43/0.94 (assume @p321 (forall (@list @t484 @t480 @t116 @t397) (=> (= @t484 (_ @t482 @t116)) (= (_ (_ tptp.plus_plus_nat @t484) @t397) @t483)))) % 0.43/0.94 (assume @p322 (forall (@list @t485 @t480 @t397 @t116) (=> (= @t485 (_ @t482 @t397)) (= (_ @t468 @t485) @t483)))) % 0.43/0.94 (assume @p323 (_ tptp.hF_Mir199975595nction tptp.r)) % 0.43/0.94 (assume @p324 @t487) % 0.43/0.94 (assume @p325 true) % 0.43/0.94 (step @p326 (= tptp.hF_Mir199975595nction @t499) :rule refl :args (@t499)) % 0.43/0.94 (step @p327 (= tptp.hF_Mir434065167lation @t502) :rule refl :args (@t502)) % 0.43/0.94 (step @p328 (= tptp.hF_Mir137170979_hpair @t503) :rule refl :args (@t503)) % 0.43/0.94 (step @p329 (= tptp.hF_Mirabelle_hmem @t505) :rule refl :args (@t505)) % 0.43/0.94 (step @p330 (= tptp.hF_Mirabelle_hpair @t506) :rule refl :args (@t506)) % 0.43/0.94 (step @p331 (= tptp.top_top_nat_o @t507) :rule refl :args (@t507)) % 0.43/0.94 (step @p332 (= tptp.top_to22270292e_hf_o @t508) :rule refl :args (@t508)) % 0.43/0.94 (step @p333 (= tptp.type_d1794767497hf_nat @t514) :rule refl :args (@t514)) % 0.43/0.94 (step @p334 (= tptp.hF_Mirabelle_hinsert @t517) :rule refl :args (@t517)) % 0.43/0.94 (step @p335 :rule refl :args (@t519)) % 0.43/0.94 (step @p336 :rule refl :args (@t521)) % 0.43/0.94 (step @p337 :rule refl :args (@t522)) % 0.43/0.94 (step @p338 :rule refl :args (@t316)) % 0.43/0.94 (step @p339 :rule cong :premises (@p338 @p337) :args ((= @t316 @t522))) % 0.43/0.94 (step @p340 :rule symm :premises (@p339)) % 0.43/0.94 (step @p341 :rule eq_resolve :premises (@p338 @p340)) % 0.43/0.94 (step @p342 :rule cong :premises (@p341) :args (@t523)) % 0.43/0.94 (step @p343 :rule refl :args (@t518)) % 0.43/0.94 (step @p344 :rule cong :premises (@p343 @p342) :args (@t524)) % 0.43/0.94 (step @p345 :rule cong :premises (@p344) :args (@t525)) % 0.43/0.94 (step @p346 :rule cong :premises (@p345) :args (@t526)) % 0.43/0.94 (step @p347 :rule refl :args (@t5)) % 0.43/0.94 (step @p348 :rule cong :premises (@p347 @p346) :args (@t527)) % 0.43/0.94 (step @p349 :rule cong :premises (@p348) :args (@t528)) % 0.43/0.94 (step @p350 :rule cong :premises (@p349 @p342) :args (@t529)) % 0.43/0.94 (step @p351 :rule cong :premises (@p350) :args (@t530)) % 0.43/0.94 (step @p352 :rule cong :premises (@p351) :args (@t531)) % 0.43/0.94 (step @p353 :rule cong :premises (@p347 @p342) :args (@t532)) % 0.43/0.94 (step @p354 :rule cong :premises (@p353) :args (@t533)) % 0.43/0.94 (step @p355 :rule cong :premises (@p354 @p352) :args (@t534)) % 0.43/0.94 (step @p356 :rule cong :premises (@p355) :args (@t535)) % 0.43/0.94 (step @p357 :rule cong :premises (@p356 @p336) :args (@t536)) % 0.43/0.94 (step @p358 :rule cong :premises (@p357) :args (@t537)) % 0.43/0.94 (step @p359 :rule refl :args (@t7)) % 0.43/0.94 (step @p360 :rule cong :premises (@p359 @p342) :args (@t538)) % 0.43/0.94 (step @p361 :rule cong :premises (@p360) :args (@t539)) % 0.43/0.94 (step @p362 :rule cong :premises (@p361) :args (@t540)) % 0.43/0.94 (step @p363 :rule cong :premises (@p347 @p362) :args (@t541)) % 0.43/0.94 (step @p364 :rule cong :premises (@p363) :args (@t542)) % 0.43/0.94 (step @p365 :rule cong :premises (@p364 @p342) :args (@t543)) % 0.43/0.94 (step @p366 :rule cong :premises (@p365) :args (@t544)) % 0.43/0.94 (step @p367 :rule cong :premises (@p366) :args (@t545)) % 0.43/0.94 (step @p368 :rule cong :premises (@p354 @p367) :args (@t546)) % 0.43/0.94 (step @p369 :rule cong :premises (@p368) :args (@t547)) % 0.43/0.94 (step @p370 :rule cong :premises (@p369 @p336) :args (@t548)) % 0.43/0.94 (step @p371 :rule cong :premises (@p370) :args (@t549)) % 0.43/0.94 (step @p372 :rule nary_cong :premises (@p371 @p358 @p335) :args (@t550)) % 0.43/0.94 (step @p373 :rule cong :premises (@p372) :args (@t552)) % 0.43/0.94 (step @p374 :rule cong :premises (@p373) :args ((not @t552))) % 0.43/0.94 (step @p375 :rule refl :args (@t519)) % 0.43/0.94 (step @p376 :rule refl :args (@t521)) % 0.43/0.94 (step @p377 :rule symm :premises (@p185)) % 0.43/0.94 (step @p378 :rule cong :premises (@p377) :args (@t553)) % 0.43/0.94 (step @p379 :rule refl :args (@t518)) % 0.43/0.94 (step @p380 :rule cong :premises (@p379 @p378) :args (@t554)) % 0.43/0.94 (step @p381 :rule cong :premises (@p380) :args (@t555)) % 0.43/0.94 (step @p382 :rule cong :premises (@p381) :args (@t556)) % 0.43/0.94 (step @p383 :rule refl :args (@t5)) % 0.43/0.94 (step @p384 :rule cong :premises (@p383 @p382) :args (@t557)) % 0.43/0.94 (step @p385 :rule cong :premises (@p384) :args (@t558)) % 0.43/0.94 (step @p386 :rule cong :premises (@p385 @p378) :args (@t559)) % 0.43/0.94 (step @p387 :rule cong :premises (@p386) :args (@t560)) % 0.43/0.94 (step @p388 :rule cong :premises (@p387) :args (@t561)) % 0.43/0.94 (step @p389 :rule cong :premises (@p383 @p378) :args (@t562)) % 0.43/0.94 (step @p390 :rule cong :premises (@p389) :args (@t563)) % 0.43/0.94 (step @p391 :rule cong :premises (@p390 @p388) :args (@t564)) % 0.43/0.94 (step @p392 :rule cong :premises (@p391) :args (@t565)) % 0.43/0.94 (step @p393 :rule cong :premises (@p392 @p376) :args (@t566)) % 0.43/0.94 (step @p394 :rule cong :premises (@p393) :args (@t567)) % 0.43/0.94 (step @p395 :rule refl :args (@t7)) % 0.43/0.94 (step @p396 :rule cong :premises (@p395 @p378) :args (@t568)) % 0.43/0.94 (step @p397 :rule cong :premises (@p396) :args (@t569)) % 0.43/0.94 (step @p398 :rule cong :premises (@p397) :args (@t570)) % 0.43/0.94 (step @p399 :rule cong :premises (@p383 @p398) :args (@t571)) % 0.43/0.94 (step @p400 :rule cong :premises (@p399) :args (@t572)) % 0.43/0.94 (step @p401 :rule cong :premises (@p400 @p378) :args (@t573)) % 0.43/0.94 (step @p402 :rule cong :premises (@p401) :args (@t574)) % 0.43/0.94 (step @p403 :rule cong :premises (@p402) :args (@t575)) % 0.43/0.94 (step @p404 :rule cong :premises (@p390 @p403) :args (@t576)) % 0.43/0.94 (step @p405 :rule cong :premises (@p404) :args (@t577)) % 0.43/0.94 (step @p406 :rule cong :premises (@p405 @p376) :args (@t578)) % 0.43/0.94 (step @p407 :rule cong :premises (@p406) :args (@t579)) % 0.43/0.94 (step @p408 :rule nary_cong :premises (@p407 @p394 @p375) :args (@t580)) % 0.43/0.94 (step @p409 :rule cong :premises (@p408) :args (@t581)) % 0.43/0.94 (step @p410 :rule cong :premises (@p409) :args ((not @t581))) % 0.43/0.94 (step @p411 :rule trans :premises (@p410 @p374)) % 0.43/0.94 (step @p412 :rule refl :args (@t520)) % 0.43/0.94 (step @p413 :rule refl :args (@t486)) % 0.43/0.94 (step @p414 :rule cong :premises (@p413 @p412) :args ((= @t486 @t520))) % 0.43/0.94 (step @p415 :rule symm :premises (@p414)) % 0.43/0.94 (step @p416 :rule eq_resolve :premises (@p413 @p415)) % 0.43/0.94 (step @p417 :rule cong :premises (@p416) :args (@t582)) % 0.43/0.94 (step @p418 :rule refl :args (@t565)) % 0.43/0.94 (step @p419 :rule cong :premises (@p418 @p417) :args (@t583)) % 0.43/0.94 (step @p420 :rule cong :premises (@p419) :args (@t584)) % 0.43/0.94 (step @p421 :rule refl :args (@t577)) % 0.43/0.94 (step @p422 :rule cong :premises (@p421 @p417) :args (@t585)) % 0.43/0.94 (step @p423 :rule cong :premises (@p422) :args (@t586)) % 0.43/0.94 (step @p424 :rule nary_cong :premises (@p423 @p420 @p335) :args (@t587)) % 0.43/0.94 (step @p425 :rule cong :premises (@p424) :args (@t588)) % 0.43/0.94 (step @p426 :rule beta-reduce :args ((= (_ @t592 @t486) @t588))) % 0.43/0.94 (step @p427 :rule trans :premises (@p426 @p425)) % 0.43/0.94 (step @p428 :rule refl :args (@t486)) % 0.43/0.94 (step @p429 :rule refl :args ((tptp.member1367349282lle_hf @t610 @t593))) % 0.43/0.94 (step @p430 :rule refl :args (@t589)) % 0.43/0.94 (step @p431 :rule refl :args ((tptp.hF_Mirabelle_HF @t609))) % 0.43/0.94 (step @p432 :rule refl :args ((tptp.insert9649339lle_hf @t607 @t605))) % 0.43/0.94 (step @p433 :rule refl :args ((tptp.hF_Mirabelle_hfset @t604))) % 0.43/0.94 (step @p434 :rule refl :args ((tptp.hF_Mirabelle_HF @t603))) % 0.43/0.94 (step @p435 :rule refl :args ((tptp.insert9649339lle_hf @t601 @t594))) % 0.43/0.94 (step @p436 :rule refl :args (@t553)) % 0.43/0.94 (step @p437 :rule refl :args ((tptp.hF_Mirabelle_HF @t600))) % 0.43/0.94 (step @p438 :rule refl :args ((tptp.insert9649339lle_hf @t5 @t598))) % 0.43/0.94 (step @p439 :rule refl :args ((tptp.hF_Mirabelle_hfset @t597))) % 0.43/0.94 (step @p440 :rule refl :args ((tptp.hF_Mirabelle_HF @t596))) % 0.43/0.94 (step @p441 :rule refl :args ((tptp.insert9649339lle_hf @t518 @t594))) % 0.43/0.94 (step @p442 :rule cong :premises (@p343 @p436) :args (@t554)) % 0.43/0.94 (step @p443 :rule trans :premises (@p442 @p441)) % 0.43/0.94 (step @p444 :rule cong :premises (@p443) :args (@t555)) % 0.43/0.94 (step @p445 :rule trans :premises (@p444 @p440)) % 0.43/0.94 (step @p446 :rule cong :premises (@p445) :args (@t556)) % 0.43/0.94 (step @p447 :rule trans :premises (@p446 @p439)) % 0.43/0.94 (step @p448 :rule cong :premises (@p347 @p447) :args (@t557)) % 0.43/0.94 (step @p449 :rule trans :premises (@p448 @p438)) % 0.43/0.94 (step @p450 :rule cong :premises (@p449) :args (@t558)) % 0.43/0.94 (step @p451 :rule trans :premises (@p450 @p437)) % 0.43/0.94 (step @p452 :rule cong :premises (@p451 @p436) :args (@t559)) % 0.43/0.94 (step @p453 :rule trans :premises (@p452 @p435)) % 0.43/0.94 (step @p454 :rule cong :premises (@p453) :args (@t560)) % 0.43/0.94 (step @p455 :rule trans :premises (@p454 @p434)) % 0.43/0.94 (step @p456 :rule cong :premises (@p455) :args (@t561)) % 0.43/0.94 (step @p457 :rule trans :premises (@p456 @p433)) % 0.43/0.94 (step @p458 :rule refl :args ((tptp.hF_Mirabelle_HF @t606))) % 0.43/0.94 (step @p459 :rule refl :args ((tptp.insert9649339lle_hf @t5 @t594))) % 0.43/0.94 (step @p460 :rule cong :premises (@p347 @p436) :args (@t562)) % 0.43/0.94 (step @p461 :rule trans :premises (@p460 @p459)) % 0.43/0.94 (step @p462 :rule cong :premises (@p461) :args (@t563)) % 0.43/0.94 (step @p463 :rule trans :premises (@p462 @p458)) % 0.43/0.94 (step @p464 :rule cong :premises (@p463 @p457) :args (@t564)) % 0.43/0.94 (step @p465 :rule trans :premises (@p464 @p432)) % 0.43/0.94 (step @p466 :rule cong :premises (@p465) :args (@t565)) % 0.43/0.94 (step @p467 :rule trans :premises (@p466 @p431)) % 0.43/0.94 (step @p468 :rule cong :premises (@p467 @p430) :args (@t590)) % 0.43/0.94 (step @p469 :rule trans :premises (@p468 @p429)) % 0.43/0.94 (step @p470 :rule refl :args (tptp.member1367349282lle_hf)) % 0.43/0.94 (step @p471 :rule ho_cong :premises (@p470 @p467)) % 0.43/0.94 (step @p472 :rule ho_cong :premises (@p471 @p430)) % 0.43/0.94 (step @p473 :rule cong :premises (@p472 @p469) :args ((= (_ (_ tptp.member1367349282lle_hf @t565) @t589) @t590))) % 0.43/0.94 (step @p474 :rule symm :premises (@p473)) % 0.43/0.94 (step @p475 :rule refl :args (@t611)) % 0.43/0.94 (step @p476 :rule eq_resolve :premises (@p475 @p474)) % 0.43/0.94 (step @p477 :rule refl :args (@t593)) % 0.43/0.94 (step @p478 :rule cong :premises (@p477 @p430) :args ((= @t593 @t589))) % 0.43/0.94 (step @p479 :rule symm :premises (@p478)) % 0.43/0.94 (step @p480 :rule eq_resolve :premises (@p477 @p479)) % 0.43/0.94 (step @p481 :rule refl :args (tptp.hF_Mirabelle_HF)) % 0.43/0.94 (step @p482 :rule ho_cong :premises (@p481 @p465)) % 0.43/0.94 (step @p483 :rule cong :premises (@p482 @p467) :args ((= (_ tptp.hF_Mirabelle_HF @t564) @t565))) % 0.43/0.94 (step @p484 :rule symm :premises (@p483)) % 0.43/0.94 (step @p485 :rule refl :args (@t610)) % 0.43/0.94 (step @p486 :rule eq_resolve :premises (@p485 @p484)) % 0.43/0.94 (step @p487 :rule refl :args (tptp.insert9649339lle_hf)) % 0.43/0.94 (step @p488 :rule ho_cong :premises (@p487 @p463)) % 0.43/0.94 (step @p489 :rule ho_cong :premises (@p488 @p457)) % 0.43/0.94 (step @p490 :rule cong :premises (@p489 @p465) :args ((= (_ @t612 @t561) @t564))) % 0.43/0.94 (step @p491 :rule symm :premises (@p490)) % 0.43/0.94 (step @p492 :rule refl :args (@t609)) % 0.43/0.94 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 0.43/0.94 (step @p494 :rule refl :args (tptp.hF_Mirabelle_hfset)) % 0.43/0.94 (step @p495 :rule ho_cong :premises (@p494 @p455)) % 0.43/0.94 (step @p496 :rule cong :premises (@p495 @p457) :args ((= (_ tptp.hF_Mirabelle_hfset @t560) @t561))) % 0.43/0.94 (step @p497 :rule symm :premises (@p496)) % 0.43/0.94 (step @p498 :rule refl :args (@t605)) % 0.43/0.94 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 0.43/0.94 (step @p500 :rule ho_cong :premises (@p481 @p453)) % 0.43/0.94 (step @p501 :rule cong :premises (@p500 @p455) :args ((= (_ tptp.hF_Mirabelle_HF @t559) @t560))) % 0.43/0.94 (step @p502 :rule symm :premises (@p501)) % 0.43/0.94 (step @p503 :rule refl :args (@t604)) % 0.43/0.94 (step @p504 :rule eq_resolve :premises (@p503 @p502)) % 0.43/0.94 (step @p505 :rule ho_cong :premises (@p487 @p451)) % 0.43/0.94 (step @p506 :rule ho_cong :premises (@p505 @p436)) % 0.43/0.94 (step @p507 :rule cong :premises 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@p1108 :rule reordering :premises (@p1107) :args ((or @t775 (not @t779)))) % 0.43/0.94 (step @p1109 :rule chain_m_resolution :premises (@p1108 @p1106) :args (@t775 @t781 (@list @t779))) % 0.43/0.94 (step @p1110 :rule eq-symm :args (@t684 @t677)) % 0.43/0.94 (step @p1111 :rule cong :premises (@p1110) :args (@t784)) % 0.43/0.94 (step @p1112 :rule nary_cong :premises (@p1111 @p1078) :args (@t785)) % 0.43/0.94 (step @p1113 :rule cong :premises (@p1112) :args (@t786)) % 0.43/0.94 (step @p1114 :rule cong :premises (@p1113) :args (@t787)) % 0.43/0.94 (step @p1115 :rule refl :args (@t788)) % 0.43/0.94 (step @p1116 :rule nary_cong :premises (@p1115 @p1114) :args (@t789)) % 0.43/0.94 (step @p1117 :rule refl :args (@t685)) % 0.43/0.94 (step @p1118 :rule cong :premises (@p1117 @p1116) :args (@t790)) % 0.43/0.94 (step @p1119 :rule cong :premises (@p1088 @p1118) :args ((=> @t778 @t790))) % 0.43/0.94 (assume-push @p1144 @t778) % 0.43/0.94 (step @p1121 :rule instantiate :premises (@p1077) :args ((@list @t684 tptp.r tptp.x))) % 0.43/0.94 (step-pop @p1145 :rule scope :premises (@p1121)) % 0.43/0.94 (step @p1122 :rule process_scope :premises (@p1145) :args (@t790)) % 0.43/0.94 (step @p1124 :rule eq_resolve :premises (@p1122 @p1119)) % 0.43/0.94 (step @p1125 :rule implies_elim :premises (@p1124)) % 0.43/0.94 (step @p1126 :rule chain_m_resolution :premises (@p1125 @p1077) :args (@t792 @t781 @t782)) % 0.43/0.94 (step @p1127 :rule bool-double-not-elim :args (@t685)) % 0.43/0.94 (step @p1128 :rule nary_cong :premises (@p1098 @p1127) :args ((or @t690 (not @t686)))) % 0.43/0.94 (step @p1129 :rule cnf_or_neg :args (@t690 1)) % 0.43/0.94 (step @p1130 :rule eq_resolve :premises (@p1129 @p1128)) % 0.43/0.94 (step @p1131 :rule reordering :premises (@p1130) :args ((or @t685 @t690))) % 0.43/0.94 (step @p1132 :rule chain_m_resolution :premises (@p1131 @p876) :args (@t685 @t691 @t692)) % 0.43/0.94 (step @p1133 :rule cnf_equiv_pos1 :args (@t792)) % 0.43/0.94 (step @p1134 :rule reordering :premises (@p1133) :args ((or @t686 @t791 (not @t792)))) % 0.43/0.94 (step @p1135 :rule chain_m_resolution :premises (@p1134 @p1132 @p1126) :args (@t791 @t783 (@list @t685 @t792))) % 0.43/0.94 (step @p1136 :rule cnf_and_pos :args (@t791 0)) % 0.43/0.94 (step @p1137 :rule reordering :premises (@p1136) :args ((or @t788 (not @t791)))) % 0.43/0.94 (step @p1138 :rule chain_m_resolution :premises (@p1137 @p1135) :args (@t788 @t781 (@list @t791))) % 0.43/0.94 (step @p1139 :rule cnf_or_pos :args (@t795)) % 0.43/0.94 (step @p1140 :rule reordering :premises (@p1139) :args ((or @t681 @t794 @t793 (not @t795)))) % 0.43/0.94 (step @p1141 false :rule chain_m_resolution :premises (@p1140 @p1138 @p1109 @p902 @p878) :args (false (@list false false false true) (@list @t788 @t775 @t795 @t681))) % 0.43/0.94 ) % 0.43/0.94 % SZS output end Proof % 0.43/0.94 % cvc5 exiting %------------------------------------------------------------------------------