%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT159+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:23 AM UTC 2026 % Result : Theorem 247.16s 247.48s % Output : Proof 233.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SCT159+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Tue Jun 2 09:32:00 EDT 2026 % 0.06/0.24 % CPUTime : % 0.14/0.39 %----Proving TF0_NAR, FOF, or CNF % 247.16/247.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 247.16/247.48 --- Run --no-e-matching --full-saturate-quant at 6... % 247.16/247.48 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 247.16/247.48 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 247.16/247.48 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 247.16/247.48 --- Run --trigger-sel=max --full-saturate-quant at 15... % 247.16/247.48 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 247.16/247.48 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 247.16/247.48 --- Run --prenex-quant=none --full-saturate-quant at 30... % 247.16/247.48 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 247.16/247.48 --- Run --relevant-triggers --full-saturate-quant at 30... % 247.16/247.48 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 247.16/247.48 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 247.16/247.48 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 247.16/247.48 % SZS status Theorem % 247.16/247.48 % SZS output start Proof % 247.16/247.48 ( % 247.16/247.48 (declare-sort $$unsorted 0) % 247.16/247.48 (declare-const tptp.v_thesis____ Bool) % 247.16/247.48 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_fTrue $$unsorted) % 247.16/247.48 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Int_Oring__1__class_OInts (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_fFalse $$unsorted) % 247.16/247.48 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.v_F $$unsorted) % 247.16/247.48 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Nat_OSuc $$unsorted) % 247.16/247.48 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OgreaterThanAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OgreaterThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.tc_Nat_Onat $$unsorted) % 247.16/247.48 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.tc_Product__Type_Ounit $$unsorted) % 247.16/247.48 (declare-const tptp.tc_Option_Ooption (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Finite__Set_Ofinite (-> $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Finite__Set_Ocard (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Finite__Set_Ofinite (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OlessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.tc_HOL_Obool $$unsorted) % 247.16/247.48 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord__class_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.tc_sum (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 247.16/247.48 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord__class_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OatMost (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OatLeast (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Orderings_Otop__class_Otop (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OatLeastAtMost (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_Sum__Type_OPlus (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OgreaterThanLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Finite__Set_Ofolding__one__idem (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Finite__Set_Ofolding__one (-> $$unsorted $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Finite__Set_Ofolding__image__simple__idem (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Orderings_Otop (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord__class_OgreaterThan (-> $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.c_SetInterval_Oord_OatLeastLessThan (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 247.16/247.48 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 247.16/247.48 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 247.16/247.48 (define @t1 () (@var "V_g_2" $$unsorted)) % 247.16/247.48 (define @t2 () (@var "V_f_2" $$unsorted)) % 247.16/247.48 (define @t3 () (@var "B_x" $$unsorted)) % 247.16/247.48 (define @t4 () (tptp.hAPP @t1 @t3)) % 247.16/247.48 (define @t5 () (tptp.hAPP @t2 @t3)) % 247.16/247.48 (define @t6 () (= @t5 @t4)) % 247.16/247.48 (define @t7 () (@list @t3)) % 247.16/247.48 (define @t8 () (@var "V_A_2" $$unsorted)) % 247.16/247.48 (define @t9 () (@var "T_a" $$unsorted)) % 247.16/247.48 (define @t10 () (tptp.c_Finite__Set_Ocard @t9 @t8)) % 247.16/247.48 (define @t11 () (@var "T_b" $$unsorted)) % 247.16/247.48 (define @t12 () (tptp.c_Set_Oimage @t9 @t11 @t2 @t8)) % 247.16/247.48 (define @t13 () (tptp.c_Finite__Set_Ocard @t11 @t12)) % 247.16/247.48 (define @t14 () (= @t13 @t10)) % 247.16/247.48 (define @t15 () (tptp.c_Fun_Oinj__on @t9 @t11 @t2 @t8)) % 247.16/247.48 (define @t16 () (@list @t8 @t2 @t11 @t9)) % 247.16/247.48 (define @t17 () (@var "V_B_2" $$unsorted)) % 247.16/247.48 (define @t18 () (= @t8 @t17)) % 247.16/247.48 (define @t19 () (tptp.c_Set_Oimage @t9 @t11 @t2 @t17)) % 247.16/247.48 (define @t20 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 247.16/247.48 (define @t21 () (tptp.c_Orderings_Otop__class_Otop @t20)) % 247.16/247.48 (define @t22 () (tptp.c_Fun_Oinj__on @t9 @t11 @t2 @t21)) % 247.16/247.48 (define @t23 () (@list @t17 @t8 @t2 @t11 @t9)) % 247.16/247.48 (define @t24 () (@var "V_x_2" $$unsorted)) % 247.16/247.48 (define @t25 () (@list @t24 @t9)) % 247.16/247.48 (define @t26 () (@var "V_y_2" $$unsorted)) % 247.16/247.48 (define @t27 () (= @t24 @t26)) % 247.16/247.48 (define @t28 () (tptp.hAPP @t2 @t24)) % 247.16/247.48 (define @t29 () (= @t28 (tptp.hAPP @t2 @t26))) % 247.16/247.48 (define @t30 () (= @t29 @t27)) % 247.16/247.48 (define @t31 () (@list @t26 @t24 @t2 @t11 @t9)) % 247.16/247.48 (define @t32 () (tptp.c_Orderings_Otop__class_Otop @t9)) % 247.16/247.48 (define @t33 () (tptp.tc_fun @t11 @t9)) % 247.16/247.48 (define @t34 () (= (tptp.hAPP (tptp.c_Orderings_Otop__class_Otop @t33) @t24) @t32)) % 247.16/247.48 (define @t35 () (tptp.class_Orderings_Otop @t9)) % 247.16/247.48 (define @t36 () (@list @t24 @t11 @t9)) % 247.16/247.48 (define @t37 () (forall @t36 (=> @t35 @t34))) % 247.16/247.48 (define @t38 () (@var "B_xa" $$unsorted)) % 247.16/247.48 (define @t39 () (= @t3 @t38)) % 247.16/247.48 (define @t40 () (tptp.hAPP @t2 @t38)) % 247.16/247.48 (define @t41 () (tptp.c_member @t9 @t38 @t8)) % 247.16/247.48 (define @t42 () (@list @t38)) % 247.16/247.48 (define @t43 () (tptp.c_member @t9 @t3 @t8)) % 247.16/247.48 (define @t44 () (tptp.c_Groups_Ozero__class_Ozero @t9)) % 247.16/247.48 (define @t45 () (= @t24 @t44)) % 247.16/247.48 (define @t46 () (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_HOL_Obool))) % 247.16/247.48 (define @t47 () (@var "V_Fa_2" $$unsorted)) % 247.16/247.48 (define @t48 () (@var "V_h_2" $$unsorted)) % 247.16/247.48 (define @t49 () (tptp.c_Finite__Set_Ofinite @t9 @t47)) % 247.16/247.48 (define @t50 () (tptp.c_Finite__Set_Ofinite @t9 @t8)) % 247.16/247.48 (define @t51 () (tptp.class_Finite__Set_Ofinite @t9)) % 247.16/247.48 (define @t52 () (@list @t8 @t9)) % 247.16/247.48 (define @t53 () (tptp.c_Finite__Set_Ofinite @t9 @t21)) % 247.16/247.48 (define @t54 () (tptp.tc_Option_Ooption @t9)) % 247.16/247.48 (define @t55 () (@list @t9)) % 247.16/247.48 (define @t56 () (tptp.tc_fun @t11 tptp.tc_HOL_Obool)) % 247.16/247.48 (define @t57 () (tptp.c_Orderings_Otop__class_Otop @t56)) % 247.16/247.48 (define @t58 () (tptp.c_Finite__Set_Ofinite @t11 @t57)) % 247.16/247.48 (define @t59 () (tptp.tc_sum @t9 @t11)) % 247.16/247.48 (define @t60 () (tptp.tc_fun @t59 tptp.tc_HOL_Obool)) % 247.16/247.48 (define @t61 () (tptp.c_Orderings_Otop__class_Otop @t60)) % 247.16/247.48 (define @t62 () (@list @t11 @t9)) % 247.16/247.48 (define @t63 () (tptp.tc_fun @t9 @t11)) % 247.16/247.48 (define @t64 () (tptp.c_Finite__Set_Ofinite @t63 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t63 tptp.tc_HOL_Obool)))) % 247.16/247.48 (define @t65 () (tptp.tc_prod @t9 @t11)) % 247.16/247.48 (define @t66 () (forall @t55 (=> @t51 @t53))) % 247.16/247.48 (define @t67 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 247.16/247.48 (define @t68 () (= @t10 @t67)) % 247.16/247.48 (define @t69 () (not @t50)) % 247.16/247.48 (define @t70 () (tptp.c_Finite__Set_Ofinite @t11 @t8)) % 247.16/247.48 (define @t71 () (tptp.c_Fun_Oinj__on @t11 @t9 @t2 @t8)) % 247.16/247.48 (define @t72 () (tptp.c_Set_Oimage @t11 @t9 @t2 @t8)) % 247.16/247.48 (define @t73 () (tptp.c_Finite__Set_Ocard @t9 @t21)) % 247.16/247.48 (define @t74 () (tptp.c_Fun_Oinj__on @t9 @t9 @t2 @t21)) % 247.16/247.48 (define @t75 () (= (tptp.c_Set_Oimage @t9 @t9 @t2 @t21) @t21)) % 247.16/247.48 (define @t76 () (@list @t2 @t9)) % 247.16/247.48 (define @t77 () (@list @t2 @t11 @t8 @t9)) % 247.16/247.48 (define @t78 () (tptp.c_Finite__Set_Ocard @t11 @t17)) % 247.16/247.48 (define @t79 () (tptp.c_Finite__Set_Ofinite @t11 @t17)) % 247.16/247.48 (define @t80 () (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t12 @t17)) % 247.16/247.48 (define @t81 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t73)) % 247.16/247.48 (define @t82 () (forall @t55 (=> @t53 @t81))) % 247.16/247.48 (define @t83 () (tptp.c_Fun_Othe__inv__into @t9 @t11 @t8 @t2)) % 247.16/247.48 (define @t84 () (tptp.c_Orderings_Obot__class_Obot @t20)) % 247.16/247.48 (define @t85 () (= @t8 @t84)) % 247.16/247.48 (define @t86 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t17)) % 247.16/247.48 (define @t87 () (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t12 @t19)) % 247.16/247.48 (define @t88 () (@var "V_a_2" $$unsorted)) % 247.16/247.48 (define @t89 () (tptp.c_member @t9 @t88 @t8)) % 247.16/247.48 (define @t90 () (tptp.hAPP @t2 @t88)) % 247.16/247.48 (define @t91 () (@var "B_y" $$unsorted)) % 247.16/247.48 (define @t92 () (@var "V_b_2" $$unsorted)) % 247.16/247.48 (define @t93 () (= @t92 (tptp.hAPP @t2 @t91))) % 247.16/247.48 (define @t94 () (=> @t93 (= @t91 @t3))) % 247.16/247.48 (define @t95 () (@list @t91)) % 247.16/247.48 (define @t96 () (forall @t95 @t94)) % 247.16/247.48 (define @t97 () (and (= @t92 @t5) @t96)) % 247.16/247.48 (define @t98 () (exists @t7 @t97)) % 247.16/247.48 (define @t99 () (tptp.c_member @t11 @t92 (tptp.c_Set_Oimage @t9 @t11 @t2 @t21))) % 247.16/247.48 (define @t100 () (= @t99 @t98)) % 247.16/247.48 (define @t101 () (=> @t22 @t100)) % 247.16/247.48 (define @t102 () (@list @t92 @t2 @t11 @t9)) % 247.16/247.48 (define @t103 () (forall @t102 @t101)) % 247.16/247.48 (define @t104 () (@var "V_x" $$unsorted)) % 247.16/247.48 (define @t105 () (tptp.class_Orderings_Opreorder @t9)) % 247.16/247.48 (define @t106 () (@list @t104 @t9)) % 247.16/247.48 (define @t107 () (@list @t2 @t11 @t9)) % 247.16/247.48 (define @t108 () (tptp.c_Orderings_Obot__class_Obot @t9)) % 247.16/247.48 (define @t109 () (tptp.class_Orderings_Obot @t9)) % 247.16/247.48 (define @t110 () (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t33) @t24)) % 247.16/247.48 (define @t111 () (=> @t109 (= @t110 @t108))) % 247.16/247.48 (define @t112 () (forall @t36 @t111)) % 247.16/247.48 (define @t113 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t26 @t24)) % 247.16/247.48 (define @t114 () (tptp.c_Orderings_Oord__class_Oless @t9 @t24 @t26)) % 247.16/247.48 (define @t115 () (not @t114)) % 247.16/247.48 (define @t116 () (tptp.class_Orderings_Olinorder @t9)) % 247.16/247.48 (define @t117 () (@list @t26 @t24 @t9)) % 247.16/247.48 (define @t118 () (tptp.c_Orderings_Oord__class_Oless @t9 @t26 @t24)) % 247.16/247.48 (define @t119 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t24 @t26)) % 247.16/247.48 (define @t120 () (not @t27)) % 247.16/247.48 (define @t121 () (tptp.c_Orderings_Oord__class_Oless__eq @t63 @t2 @t1)) % 247.16/247.48 (define @t122 () (tptp.class_Orderings_Oord @t11)) % 247.16/247.48 (define @t123 () (@list @t1 @t2 @t9 @t11)) % 247.16/247.48 (define @t124 () (@var "V_y" $$unsorted)) % 247.16/247.48 (define @t125 () (tptp.c_Orderings_Oord__class_Oless @t9 @t124 @t104)) % 247.16/247.48 (define @t126 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t104 @t124)) % 247.16/247.48 (define @t127 () (@list @t124 @t104 @t9)) % 247.16/247.48 (define @t128 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t124 @t104)) % 247.16/247.48 (define @t129 () (tptp.class_Orderings_Oorder @t9)) % 247.16/247.48 (define @t130 () (= @t104 @t124)) % 247.16/247.48 (define @t131 () (tptp.c_Orderings_Oord__class_Oless @t9 @t104 @t124)) % 247.16/247.48 (define @t132 () (not @t131)) % 247.16/247.48 (define @t133 () (@list @t104 @t124 @t9)) % 247.16/247.48 (define @t134 () (= @t115 @t27)) % 247.16/247.48 (define @t135 () (@list @t24 @t26 @t9)) % 247.16/247.48 (define @t136 () (= @t119 @t27)) % 247.16/247.48 (define @t137 () (@var "V_b" $$unsorted)) % 247.16/247.48 (define @t138 () (@var "V_a" $$unsorted)) % 247.16/247.48 (define @t139 () (tptp.c_Orderings_Oord__class_Oless @t9 @t138 @t137)) % 247.16/247.48 (define @t140 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t138 @t137)) % 247.16/247.48 (define @t141 () (= @t138 @t137)) % 247.16/247.48 (define @t142 () (not @t141)) % 247.16/247.48 (define @t143 () (@list @t137 @t138 @t9)) % 247.16/247.48 (define @t144 () (tptp.c_Orderings_Oord__class_Oless @t9 @t137 @t138)) % 247.16/247.48 (define @t145 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t137 @t138)) % 247.16/247.48 (define @t146 () (not @t130)) % 247.16/247.48 (define @t147 () (=> @t146 (=> @t132 @t125))) % 247.16/247.48 (define @t148 () (@var "V_Q_2" $$unsorted)) % 247.16/247.48 (define @t149 () (tptp.hBOOL (tptp.hAPP @t148 @t24))) % 247.16/247.48 (define @t150 () (@var "V_P_2" $$unsorted)) % 247.16/247.48 (define @t151 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t150 @t148)) % 247.16/247.48 (define @t152 () (tptp.hBOOL (tptp.hAPP @t150 @t24))) % 247.16/247.48 (define @t153 () (tptp.hAPP @t1 @t24)) % 247.16/247.48 (define @t154 () (@list @t138 @t137 @t9)) % 247.16/247.48 (define @t155 () (@var "V_c" $$unsorted)) % 247.16/247.48 (define @t156 () (tptp.c_Orderings_Oord__class_Oless @t9 @t138 @t155)) % 247.16/247.48 (define @t157 () (tptp.c_Orderings_Oord__class_Oless @t9 @t137 @t155)) % 247.16/247.48 (define @t158 () (tptp.class_Orderings_Oord @t9)) % 247.16/247.48 (define @t159 () (@list @t155 @t137 @t138 @t9)) % 247.16/247.48 (define @t160 () (tptp.c_Orderings_Oord__class_Oless @t9 @t155 @t138)) % 247.16/247.48 (define @t161 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t138 @t155)) % 247.16/247.48 (define @t162 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t137 @t155)) % 247.16/247.48 (define @t163 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t155 @t138)) % 247.16/247.48 (define @t164 () (= @t137 @t155)) % 247.16/247.48 (define @t165 () (@list @t155 @t138 @t137 @t9)) % 247.16/247.48 (define @t166 () (@var "V_z" $$unsorted)) % 247.16/247.48 (define @t167 () (tptp.c_Orderings_Oord__class_Oless @t9 @t104 @t166)) % 247.16/247.48 (define @t168 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t124 @t166) @t167)) % 247.16/247.48 (define @t169 () (@list @t166 @t124 @t104 @t9)) % 247.16/247.48 (define @t170 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t124 @t166)) % 247.16/247.48 (define @t171 () (tptp.c_Orderings_Oord__class_Oless @t9 @t166 @t104)) % 247.16/247.48 (define @t172 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t166 @t124) @t171)) % 247.16/247.48 (define @t173 () (@list @t166 @t104 @t124 @t9)) % 247.16/247.48 (define @t174 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t166 @t124)) % 247.16/247.48 (define @t175 () (tptp.hAPP @t83 @t26)) % 247.16/247.48 (define @t176 () (tptp.c_member @t9 @t24 @t8)) % 247.16/247.48 (define @t177 () (@list @t26 @t24 @t8 @t2 @t11 @t9)) % 247.16/247.48 (define @t178 () (tptp.c_Finite__Set_Ocard @t9 @t17)) % 247.16/247.48 (define @t179 () (tptp.c_Finite__Set_Ofinite @t9 @t17)) % 247.16/247.48 (define @t180 () (@list @t8 @t17 @t9)) % 247.16/247.48 (define @t181 () (@list @t17 @t8 @t9)) % 247.16/247.48 (define @t182 () (tptp.c_member @t9 @t26 @t8)) % 247.16/247.48 (define @t183 () (tptp.c_Fun_Oinj__on @t9 @t11 @t2 @t17)) % 247.16/247.48 (define @t184 () (@list @t8 @t17 @t2 @t11 @t9)) % 247.16/247.48 (define @t185 () (not @t85)) % 247.16/247.48 (define @t186 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t10)) % 247.16/247.48 (define @t187 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t78)) % 247.16/247.48 (define @t188 () (tptp.c_Fun_Oinj__on @t9 @t9 @t2 @t8)) % 247.16/247.48 (define @t189 () (tptp.c_Set_Oimage @t9 @t9 @t2 @t8)) % 247.16/247.48 (define @t190 () (@list @t2 @t8 @t9)) % 247.16/247.48 (define @t191 () (@var "B_f" $$unsorted)) % 247.16/247.48 (define @t192 () (tptp.c_Set_Oimage @t9 @t11 @t191 @t8)) % 247.16/247.48 (define @t193 () (tptp.c_Fun_Oinj__on @t9 @t11 @t191 @t8)) % 247.16/247.48 (define @t194 () (@list @t191)) % 247.16/247.48 (define @t195 () (@list @t17 @t11 @t8 @t9)) % 247.16/247.48 (define @t196 () (@var "V_n" $$unsorted)) % 247.16/247.48 (define @t197 () (@list @t196)) % 247.16/247.48 (define @t198 () (tptp.c_member @t11 @t24 @t8)) % 247.16/247.48 (define @t199 () (= @t92 @t28)) % 247.16/247.48 (define @t200 () (@var "V_c_2" $$unsorted)) % 247.16/247.48 (define @t201 () (tptp.c_member @t9 @t200 @t17)) % 247.16/247.48 (define @t202 () (tptp.c_member @t9 @t200 @t8)) % 247.16/247.48 (define @t203 () (=> @t202 @t201)) % 247.16/247.48 (define @t204 () (@list @t200 @t17 @t8 @t9)) % 247.16/247.48 (define @t205 () (@list @t88 @t9)) % 247.16/247.48 (define @t206 () (@var "V_A_H_2" $$unsorted)) % 247.16/247.48 (define @t207 () (@var "B_g" $$unsorted)) % 247.16/247.48 (define @t208 () (tptp.hBOOL (tptp.hAPP @t150 @t3))) % 247.16/247.48 (define @t209 () (@var "V_n_2" $$unsorted)) % 247.16/247.48 (define @t210 () (tptp.c_member tptp.tc_Nat_Onat @t3 (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t67 @t209))) % 247.16/247.48 (define @t211 () (@var "B_m" $$unsorted)) % 247.16/247.48 (define @t212 () (tptp.hBOOL (tptp.hAPP @t150 @t211))) % 247.16/247.48 (define @t213 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t209)) % 247.16/247.48 (define @t214 () (@list @t211)) % 247.16/247.48 (define @t215 () (@list @t150 @t209)) % 247.16/247.48 (define @t216 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t17 @t8)) % 247.16/247.48 (define @t217 () (@var "V_u_2" $$unsorted)) % 247.16/247.48 (define @t218 () (@var "V_l_2" $$unsorted)) % 247.16/247.48 (define @t219 () (@list @t217 @t218)) % 247.16/247.48 (define @t220 () (tptp.c_Orderings_Oord__class_Oless @t20 @t8 @t17)) % 247.16/247.48 (define @t221 () (@var "V_C_2" $$unsorted)) % 247.16/247.48 (define @t222 () (tptp.c_Orderings_Oord__class_Oless @t20 @t8 @t221)) % 247.16/247.48 (define @t223 () (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t17 @t221)) % 247.16/247.48 (define @t224 () (@list @t221 @t17 @t8 @t9)) % 247.16/247.48 (define @t225 () (=> (tptp.c_Orderings_Oord__class_Oless @t20 @t17 @t221) @t222)) % 247.16/247.48 (define @t226 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t10 @t178)) % 247.16/247.48 (define @t227 () (tptp.hBOOL (tptp.hAPP @t8 @t24))) % 247.16/247.48 (define @t228 () (@list @t8 @t24 @t9)) % 247.16/247.48 (define @t229 () (tptp.c_member @t9 @t24 @t17)) % 247.16/247.48 (define @t230 () (= @t88 @t92)) % 247.16/247.48 (define @t231 () (@var "V_m_2" $$unsorted)) % 247.16/247.48 (define @t232 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t231)) % 247.16/247.48 (define @t233 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t231 @t209)) % 247.16/247.48 (define @t234 () (or @t233 @t232)) % 247.16/247.48 (define @t235 () (= @t231 @t209)) % 247.16/247.48 (define @t236 () (not @t235)) % 247.16/247.48 (define @t237 () (= @t236 @t234)) % 247.16/247.48 (define @t238 () (@list @t209 @t231)) % 247.16/247.48 (define @t239 () (forall @t238 @t237)) % 247.16/247.48 (define @t240 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t124)) % 247.16/247.48 (define @t241 () (@list @t124 @t104)) % 247.16/247.48 (define @t242 () (@var "V_m" $$unsorted)) % 247.16/247.48 (define @t243 () (= @t242 @t196)) % 247.16/247.48 (define @t244 () (not @t243)) % 247.16/247.48 (define @t245 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t196 @t242)) % 247.16/247.48 (define @t246 () (@list @t242 @t196)) % 247.16/247.48 (define @t247 () (@var "V_t" $$unsorted)) % 247.16/247.48 (define @t248 () (@var "V_s" $$unsorted)) % 247.16/247.48 (define @t249 () (tptp.hAPP @t150 @t209)) % 247.16/247.48 (define @t250 () (tptp.hBOOL (tptp.hAPP @t249 @t231))) % 247.16/247.48 (define @t251 () (@var "V_N_2" $$unsorted)) % 247.16/247.48 (define @t252 () (tptp.c_member tptp.tc_Nat_Onat @t3 @t251)) % 247.16/247.48 (define @t253 () (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat @t251)) % 247.16/247.48 (define @t254 () (@list @t251)) % 247.16/247.48 (define @t255 () (@list @t9 @t17 @t8)) % 247.16/247.48 (define @t256 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t242)) % 247.16/247.48 (define @t257 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t242 @t196)) % 247.16/247.48 (define @t258 () (@list @t196 @t242)) % 247.16/247.48 (define @t259 () (@var "V_k" $$unsorted)) % 247.16/247.48 (define @t260 () (@var "V_i" $$unsorted)) % 247.16/247.48 (define @t261 () (@var "V_j" $$unsorted)) % 247.16/247.48 (define @t262 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t260 @t261)) % 247.16/247.48 (define @t263 () (@list @t259 @t261 @t260)) % 247.16/247.48 (define @t264 () (forall @t7 (not @t43))) % 247.16/247.48 (define @t265 () (exists @t7 @t43)) % 247.16/247.48 (define @t266 () (@list @t17 @t8 @t24 @t9)) % 247.16/247.48 (define @t267 () (@list @t2 @t11 @t8 @t24 @t9)) % 247.16/247.48 (define @t268 () (@var "V_z_2" $$unsorted)) % 247.16/247.48 (define @t269 () (tptp.c_Orderings_Obot__class_Obot @t56)) % 247.16/247.48 (define @t270 () (= @t8 @t269)) % 247.16/247.48 (define @t271 () (= @t196 @t67)) % 247.16/247.48 (define @t272 () (not @t271)) % 247.16/247.48 (define @t273 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t242 @t196)) % 247.16/247.48 (define @t274 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t209)) % 247.16/247.48 (define @t275 () (= @t209 @t67)) % 247.16/247.48 (define @t276 () (@list @t209)) % 247.16/247.48 (define @t277 () (@var "B_AA" $$unsorted)) % 247.16/247.48 (define @t278 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t231 @t209)) % 247.16/247.48 (define @t279 () (or @t233 @t235)) % 247.16/247.48 (define @t280 () (= @t278 @t279)) % 247.16/247.48 (define @t281 () (forall @t238 @t280)) % 247.16/247.48 (define @t282 () (@var "V_d_2" $$unsorted)) % 247.16/247.48 (define @t283 () (= @t92 @t282)) % 247.16/247.48 (define @t284 () (tptp.c_Orderings_Oord__class_Oless @t9 @t200 @t282)) % 247.16/247.48 (define @t285 () (tptp.c_Orderings_Oord__class_Oless @t9 @t88 @t92)) % 247.16/247.48 (define @t286 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t9 @t200 @t282)) % 247.16/247.48 (define @t287 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan @t9 @t88 @t92)) % 247.16/247.48 (define @t288 () (= @t287 @t286)) % 247.16/247.48 (define @t289 () (@list @t282 @t200 @t92 @t88 @t9)) % 247.16/247.48 (define @t290 () (= @t88 @t200)) % 247.16/247.48 (define @t291 () (and @t290 @t283)) % 247.16/247.48 (define @t292 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 247.16/247.48 (define @t293 () (tptp.c_Orderings_Obot__class_Obot @t292)) % 247.16/247.48 (define @t294 () (@list @t231)) % 247.16/247.48 (define @t295 () (tptp.c_Set_Oimage @t11 @t9 @t2 @t57)) % 247.16/247.48 (define @t296 () (= @t287 @t84)) % 247.16/247.48 (define @t297 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t92 @t88)) % 247.16/247.48 (define @t298 () (@list @t88 @t92 @t9)) % 247.16/247.48 (define @t299 () (not @t285)) % 247.16/247.48 (define @t300 () (@list @t92 @t88 @t9)) % 247.16/247.48 (define @t301 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t92 @t282)) % 247.16/247.48 (define @t302 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t200 @t88)) % 247.16/247.48 (define @t303 () (and @t302 @t301)) % 247.16/247.48 (define @t304 () (@var "V_k_2" $$unsorted)) % 247.16/247.48 (define @t305 () (@var "V_i_2" $$unsorted)) % 247.16/247.48 (define @t306 () (@var "V_less__eq_2" $$unsorted)) % 247.16/247.48 (define @t307 () (tptp.hAPP @t306 @t305)) % 247.16/247.48 (define @t308 () (@list @t304 @t306 @t305 @t9)) % 247.16/247.48 (define @t309 () (@var "V_less_2" $$unsorted)) % 247.16/247.48 (define @t310 () (tptp.hAPP @t309 @t305)) % 247.16/247.48 (define @t311 () (@list @t304 @t309 @t305 @t9)) % 247.16/247.48 (define @t312 () (tptp.hBOOL (tptp.hAPP @t307 @t217))) % 247.16/247.48 (define @t313 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t306 @t218) @t305))) % 247.16/247.48 (define @t314 () (tptp.hBOOL (tptp.hAPP @t310 @t217))) % 247.16/247.48 (define @t315 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t218) @t305))) % 247.16/247.48 (define @t316 () (tptp.c_Orderings_Otop__class_Otop @t292)) % 247.16/247.48 (define @t317 () (@list @t217 @t218 @t309 @t306 @t305 @t9)) % 247.16/247.48 (define @t318 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t124)) % 247.16/247.48 (define @t319 () (tptp.hAPP tptp.c_Nat_OSuc @t67)) % 247.16/247.48 (define @t320 () (tptp.hAPP @t47 @t8)) % 247.16/247.48 (define @t321 () (= (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t47 @t17)) @t320) @t320)) % 247.16/247.48 (define @t322 () (tptp.c_Finite__Set_Ofolding__one__idem @t9 @t2 @t47)) % 247.16/247.48 (define @t323 () (tptp.c_Finite__Set_Ofolding__image__simple__idem @t9 @t11 @t2 @t268 @t1 @t47)) % 247.16/247.48 (define @t324 () (tptp.hAPP (tptp.hAPP @t2 @t153) @t320)) % 247.16/247.48 (define @t325 () (@list @t24 @t8 @t47 @t1 @t268 @t2 @t11 @t9)) % 247.16/247.48 (define @t326 () (tptp.hAPP tptp.c_Nat_OSuc @t196)) % 247.16/247.48 (define @t327 () (tptp.hAPP tptp.c_Nat_OSuc @t242)) % 247.16/247.48 (define @t328 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t327 @t326)) % 247.16/247.48 (define @t329 () (@var "V_nat_H_2" $$unsorted)) % 247.16/247.48 (define @t330 () (@var "V_nat_2" $$unsorted)) % 247.16/247.48 (define @t331 () (= (tptp.hAPP @t28 @t24) @t24)) % 247.16/247.48 (define @t332 () (@var "V_j_2" $$unsorted)) % 247.16/247.48 (define @t333 () (tptp.hAPP tptp.c_Nat_OSuc @t332)) % 247.16/247.48 (define @t334 () (tptp.hAPP tptp.c_Nat_OSuc @t305)) % 247.16/247.48 (define @t335 () (@list @t332 @t305)) % 247.16/247.48 (define @t336 () (tptp.hAPP tptp.c_Nat_OSuc @t209)) % 247.16/247.48 (define @t337 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t336 @t231)) % 247.16/247.48 (define @t338 () (not @t278)) % 247.16/247.48 (define @t339 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t231 @t336)) % 247.16/247.48 (define @t340 () (tptp.hAPP tptp.c_Nat_OSuc @t231)) % 247.16/247.48 (define @t341 () (@list @t231 @t209)) % 247.16/247.48 (define @t342 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t242 @t326)) % 247.16/247.48 (define @t343 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t327 @t196)) % 247.16/247.48 (define @t344 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t340)) % 247.16/247.48 (define @t345 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t231 @t336)) % 247.16/247.48 (define @t346 () (= @t209 @t231)) % 247.16/247.48 (define @t347 () (= @t344 @t346)) % 247.16/247.48 (define @t348 () (not @t232)) % 247.16/247.48 (define @t349 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t242 @t326)) % 247.16/247.48 (define @t350 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t327 @t196)) % 247.16/247.48 (define @t351 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t260 @t261)) % 247.16/247.48 (define @t352 () (@list @t242)) % 247.16/247.48 (define @t353 () (@var "V_nat_H_1" $$unsorted)) % 247.16/247.48 (define @t354 () (@var "V_nat_H" $$unsorted)) % 247.16/247.48 (define @t355 () (@var "B_j" $$unsorted)) % 247.16/247.48 (define @t356 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t355 @t209)) % 247.16/247.48 (define @t357 () (tptp.hAPP tptp.c_Nat_OSuc @t355)) % 247.16/247.48 (define @t358 () (= @t231 @t357)) % 247.16/247.48 (define @t359 () (and @t358 @t356)) % 247.16/247.48 (define @t360 () (@list @t355)) % 247.16/247.48 (define @t361 () (exists @t360 @t359)) % 247.16/247.48 (define @t362 () (= @t231 @t67)) % 247.16/247.48 (define @t363 () (or @t362 @t361)) % 247.16/247.48 (define @t364 () (= @t345 @t363)) % 247.16/247.48 (define @t365 () (forall @t238 @t364)) % 247.16/247.48 (define @t366 () (tptp.hAPP @t28 @t320)) % 247.16/247.48 (define @t367 () (@list @t24 @t8 @t47 @t2 @t9)) % 247.16/247.48 (define @t368 () (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t316)) % 247.16/247.48 (define @t369 () (tptp.c_SetInterval_Oord__class_OgreaterThan tptp.tc_Nat_Onat @t67)) % 247.16/247.48 (define @t370 () (tptp.c_Sum__Type_OPlus @t9 @t11 @t8 @t17)) % 247.16/247.48 (define @t371 () (tptp.c_Finite__Set_Ofinite @t59 @t370)) % 247.16/247.48 (define @t372 () (@list @t17 @t8 @t11 @t9)) % 247.16/247.48 (define @t373 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t9 @t26)) % 247.16/247.48 (define @t374 () (tptp.c_SetInterval_Oord__class_OgreaterThan @t9 @t24)) % 247.16/247.48 (define @t375 () (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord__class_OgreaterThan @t9 @t304)) (tptp.c_Orderings_Oord__class_Oless @t9 @t304 @t305))) % 247.16/247.48 (define @t376 () (@list @t304 @t305 @t9)) % 247.16/247.48 (define @t377 () (forall @t376 (=> @t158 @t375))) % 247.16/247.48 (define @t378 () (and @t50 @t79)) % 247.16/247.48 (define @t379 () (tptp.c_Finite__Set_Ocard @t59 @t370)) % 247.16/247.48 (define @t380 () (= @t379 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t10 @t78))) % 247.16/247.48 (define @t381 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t124 @t166)) % 247.16/247.48 (define @t382 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t381)) % 247.16/247.48 (define @t383 () (@list @t166 @t124 @t104)) % 247.16/247.48 (define @t384 () (@list @t124 @t166 @t104)) % 247.16/247.48 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t381)) % 247.16/247.48 (define @t386 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t196 @t242)) % 247.16/247.48 (define @t387 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 @t196)) % 247.16/247.48 (define @t388 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t304 @t209)) % 247.16/247.48 (define @t389 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t304 @t231)) % 247.16/247.48 (define @t390 () (= @t389 @t388)) % 247.16/247.48 (define @t391 () (@list @t209 @t231 @t304)) % 247.16/247.48 (define @t392 () (forall @t391 (= @t390 @t235))) % 247.16/247.48 (define @t393 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t137 @t155)) % 247.16/247.48 (define @t394 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t137)) % 247.16/247.48 (define @t395 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t394 @t155)) % 247.16/247.48 (define @t396 () (= @t395 (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t393))) % 247.16/247.48 (define @t397 () (= @t92 @t200)) % 247.16/247.48 (define @t398 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t88 @t200)) % 247.16/247.48 (define @t399 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t88 @t92)) % 247.16/247.48 (define @t400 () (tptp.class_Groups_Ocancel__semigroup__add @t9)) % 247.16/247.48 (define @t401 () (@list @t200 @t92 @t88 @t9)) % 247.16/247.48 (define @t402 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t200 @t88)) % 247.16/247.48 (define @t403 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t92 @t88)) % 247.16/247.48 (define @t404 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t155)) % 247.16/247.48 (define @t405 () (=> (= @t394 @t404) @t164)) % 247.16/247.48 (define @t406 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t155 @t138)) % 247.16/247.48 (define @t407 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t304 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t304 (tptp.c_Finite__Set_Ocard tptp.tc_Nat_Onat @t8)))) % 247.16/247.48 (define @t408 () (@var "B_k" $$unsorted)) % 247.16/247.48 (define @t409 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t231 @t408)) % 247.16/247.48 (define @t410 () (= @t209 @t409)) % 247.16/247.48 (define @t411 () (@list @t408)) % 247.16/247.48 (define @t412 () (exists @t411 @t410)) % 247.16/247.48 (define @t413 () (= @t278 @t412)) % 247.16/247.48 (define @t414 () (forall @t238 @t413)) % 247.16/247.48 (define @t415 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t242)) % 247.16/247.48 (define @t416 () (@list @t242 @t261 @t260)) % 247.16/247.48 (define @t417 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 @t261)) % 247.16/247.48 (define @t418 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t259)) % 247.16/247.48 (define @t419 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t260 @t259)) % 247.16/247.48 (define @t420 () (@var "V_l" $$unsorted)) % 247.16/247.48 (define @t421 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t420)) % 247.16/247.48 (define @t422 () (@list @t420 @t259 @t261 @t260)) % 247.16/247.48 (define @t423 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t259 @t196)) % 247.16/247.48 (define @t424 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 @t259) @t196)) % 247.16/247.48 (define @t425 () (@list @t196 @t259 @t242)) % 247.16/247.48 (define @t426 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t260 @t261)) % 247.16/247.48 (define @t427 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t259 @t420)) % 247.16/247.48 (define @t428 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t231 @t209)) % 247.16/247.48 (define @t429 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t67 @t196)) % 247.16/247.48 (define @t430 () (forall @t197 (= @t429 @t196))) % 247.16/247.48 (define @t431 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t155 @t137)) % 247.16/247.48 (define @t432 () (tptp.c_Orderings_Oord__class_Oless @t9 @t406 @t431)) % 247.16/247.48 (define @t433 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t9)) % 247.16/247.48 (define @t434 () (@list @t137 @t138 @t155 @t9)) % 247.16/247.48 (define @t435 () (tptp.c_Orderings_Oord__class_Oless @t9 @t404 @t393)) % 247.16/247.48 (define @t436 () (@list @t137 @t155 @t138 @t9)) % 247.16/247.48 (define @t437 () (@var "V_d" $$unsorted)) % 247.16/247.48 (define @t438 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t137 @t437)) % 247.16/247.48 (define @t439 () (tptp.c_Orderings_Oord__class_Oless @t9 @t404 @t438)) % 247.16/247.48 (define @t440 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t155 @t437) @t439)) % 247.16/247.48 (define @t441 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t9)) % 247.16/247.48 (define @t442 () (@list @t437 @t155 @t137 @t138 @t9)) % 247.16/247.48 (define @t443 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t200 @t92)) % 247.16/247.48 (define @t444 () (@list @t92 @t88 @t200 @t9)) % 247.16/247.48 (define @t445 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t92 @t200)) % 247.16/247.48 (define @t446 () (@list @t92 @t200 @t88 @t9)) % 247.16/247.48 (define @t447 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t44) @t138)) % 247.16/247.48 (define @t448 () (tptp.class_Groups_Ocomm__monoid__add @t9)) % 247.16/247.48 (define @t449 () (@list @t138 @t9)) % 247.16/247.48 (define @t450 () (tptp.class_Groups_Omonoid__add @t9)) % 247.16/247.48 (define @t451 () (= @t88 @t44)) % 247.16/247.48 (define @t452 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t88 @t88)) % 247.16/247.48 (define @t453 () (tptp.class_Groups_Olinordered__ab__group__add @t9)) % 247.16/247.48 (define @t454 () (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t44 @t138) @t138)) % 247.16/247.48 (define @t455 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t406 @t431)) % 247.16/247.48 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t404 @t393)) % 247.16/247.48 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t155 @t437)) % 247.16/247.48 (define @t458 () (tptp.class_Groups_Oordered__ab__semigroup__add @t9)) % 247.16/247.48 (define @t459 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t88 @t92)) % 247.16/247.48 (define @t460 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 @t326)) % 247.16/247.48 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t327 @t196)) % 247.16/247.48 (define @t462 () (tptp.hAPP tptp.c_Nat_OSuc @t387)) % 247.16/247.48 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t137 @t44)) % 247.16/247.48 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t138 @t44)) % 247.16/247.48 (define @t465 () (tptp.class_Groups_Oordered__comm__monoid__add @t9)) % 247.16/247.48 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t137 @t404)) % 247.16/247.48 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t138)) % 247.16/247.48 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t137)) % 247.16/247.48 (define @t469 () (tptp.c_Orderings_Oord__class_Oless @t9 @t394 @t44)) % 247.16/247.48 (define @t470 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t137 @t44) @t469)) % 247.16/247.48 (define @t471 () (tptp.c_Orderings_Oord__class_Oless @t9 @t138 @t44)) % 247.16/247.48 (define @t472 () (tptp.c_Orderings_Oord__class_Oless @t9 @t44 @t394)) % 247.16/247.48 (define @t473 () (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t44 @t137) @t472)) % 247.16/247.48 (define @t474 () (tptp.c_Orderings_Oord__class_Oless @t9 @t44 @t138)) % 247.16/247.48 (define @t475 () (tptp.c_Orderings_Oord__class_Oless @t9 @t88 @t44)) % 247.16/247.48 (define @t476 () (= (tptp.c_Orderings_Oord__class_Oless @t9 @t452 @t44) @t475)) % 247.16/247.48 (define @t477 () (or (and (= @t231 @t319) @t275) (and @t362 (= @t209 @t319)))) % 247.16/247.48 (define @t478 () (@list @t242 @t260)) % 247.16/247.48 (define @t479 () (tptp.c_Orderings_Oord__class_Oless @t9 @t137 @t404)) % 247.16/247.48 (define @t480 () (=> @t157 @t479)) % 247.16/247.48 (define @t481 () (tptp.class_Rings_Olinordered__semidom @t9)) % 247.16/247.48 (define @t482 () (tptp.class_Rings_Olinordered__idom @t9)) % 247.16/247.48 (define @t483 () (= (= @t452 @t44) @t451)) % 247.16/247.48 (define @t484 () (tptp.class_Rings_Ocomm__semiring__1 @t9)) % 247.16/247.48 (define @t485 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t155 @t437)) % 247.16/247.48 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t485)) % 247.16/247.48 (define @t487 () (@list @t437 @t155 @t138 @t9)) % 247.16/247.48 (define @t488 () (@var "V_nat" $$unsorted)) % 247.16/247.48 (define @t489 () (tptp.hAPP tptp.c_Nat_OSuc @t488)) % 247.16/247.48 (define @t490 () (@list @t488)) % 247.16/247.48 (define @t491 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t231 @t209)) % 247.16/247.48 (define @t492 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 @t491)) % 247.16/247.48 (define @t493 () (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t231 @t336)) % 247.16/247.48 (define @t494 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 @t493)) % 247.16/247.48 (define @t495 () (@list @t2 @t231 @t209 @t9)) % 247.16/247.48 (define @t496 () (@var "V_p_2" $$unsorted)) % 247.16/247.48 (define @t497 () (tptp.hAPP @t2 @t67)) % 247.16/247.48 (define @t498 () (tptp.hAPP @t2 @t231)) % 247.16/247.48 (define @t499 () (@list @t2 @t209 @t231 @t9)) % 247.16/247.48 (define @t500 () (tptp.c_Groups_Ozero__class_Ozero @t11)) % 247.16/247.48 (define @t501 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t11 @t1 @t8)) % 247.16/247.48 (define @t502 () (tptp.class_Groups_Ocomm__monoid__add @t11)) % 247.16/247.48 (define @t503 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t11 @t2 @t8)) % 247.16/247.48 (define @t504 () (forall @t42 (=> @t41 (=> (not @t39) (= @t40 @t67))))) % 247.16/247.48 (define @t505 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 tptp.tc_Nat_Onat @t2 @t8)) % 247.16/247.48 (define @t506 () (@var "T_c" $$unsorted)) % 247.16/247.48 (define @t507 () (@var "B_a" $$unsorted)) % 247.16/247.48 (define @t508 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t231 @t209)) % 247.16/247.48 (define @t509 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 @t508)) % 247.16/247.48 (define @t510 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t231 @t336)) % 247.16/247.48 (define @t511 () (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 @t510)) % 247.16/247.48 (define @t512 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t336 @t231)) % 247.16/247.48 (define @t513 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t218 @t217)) % 247.16/247.48 (define @t514 () (not @t459)) % 247.16/247.48 (define @t515 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t9 @t200 @t282)) % 247.16/247.48 (define @t516 () (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t9 @t88 @t92)) % 247.16/247.48 (define @t517 () (= @t516 @t84)) % 247.16/247.48 (define @t518 () (tptp.c_member tptp.tc_Nat_Onat @t3 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t67 @t209))) % 247.16/247.48 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t209)) % 247.16/247.48 (define @t520 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t496)) % 247.16/247.48 (define @t521 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 247.16/247.48 (define @t522 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t521)) % 247.16/247.48 (define @t523 () (tptp.tc_fun tptp.tc_Product__Type_Ounit tptp.tc_HOL_Obool)) % 247.16/247.48 (define @t524 () (tptp.c_Orderings_Otop__class_Otop @t523)) % 247.16/247.48 (define @t525 () (tptp.c_Finite__Set_Ocard tptp.tc_Product__Type_Ounit @t524)) % 247.16/247.48 (define @t526 () (tptp.c_Groups_Oone__class_Oone @t9)) % 247.16/247.48 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t526)) % 247.16/247.48 (define @t528 () (forall @t55 (=> @t481 @t527))) % 247.16/247.48 (define @t529 () (not (= @t526 @t44))) % 247.16/247.48 (define @t530 () (tptp.class_Rings_Ozero__neq__one @t9)) % 247.16/247.48 (define @t531 () (=> @t530 @t529)) % 247.16/247.48 (define @t532 () (forall @t55 @t531)) % 247.16/247.48 (define @t533 () (not (= @t44 @t526))) % 247.16/247.48 (define @t534 () (forall @t55 (=> @t530 @t533))) % 247.16/247.48 (define @t535 () (forall @t197 (= @t326 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 @t196)))) % 247.16/247.48 (define @t536 () (tptp.c_Orderings_Oord__class_Oless @t9 @t44 (tptp.c_Groups_Oplus__class_Oplus @t9 @t526 @t526))) % 247.16/247.48 (define @t537 () (forall @t55 (=> @t481 @t536))) % 247.16/247.48 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.c_Groups_Oplus__class_Oplus @t9 @t526 @t88) @t88)) % 247.16/247.48 (define @t539 () (tptp.c_Int_Oring__1__class_OInts @t9)) % 247.16/247.48 (define @t540 () (tptp.c_member @t9 @t88 @t539)) % 247.16/247.48 (define @t541 () (@var "B_i" $$unsorted)) % 247.16/247.48 (define @t542 () (tptp.class_Rings_Oring__1 @t9)) % 247.16/247.48 (define @t543 () (tptp.class_Int_Oring__char__0 @t9)) % 247.16/247.48 (define @t544 () (= @t521 @t67)) % 247.16/247.48 (define @t545 () (=> @t265 @t544)) % 247.16/247.48 (define @t546 () (=> @t545 @t68)) % 247.16/247.48 (define @t547 () (=> @t50 @t546)) % 247.16/247.48 (define @t548 () (forall @t52 @t547)) % 247.16/247.48 (define @t549 () (tptp.c_Set_Oinsert @t9 @t24 @t8)) % 247.16/247.48 (define @t550 () (tptp.c_Finite__Set_Ocard @t9 @t549)) % 247.16/247.48 (define @t551 () (not @t176)) % 247.16/247.48 (define @t552 () (@list @t24 @t8 @t9)) % 247.16/247.48 (define @t553 () (tptp.c_member @t9 @t88 (tptp.c_Set_Oinsert @t9 @t92 @t8))) % 247.16/247.48 (define @t554 () (@list @t8 @t92 @t88 @t9)) % 247.16/247.48 (define @t555 () (tptp.c_Set_Oinsert @t9 @t92 @t17)) % 247.16/247.48 (define @t556 () (tptp.c_member @t9 @t88 @t555)) % 247.16/247.48 (define @t557 () (tptp.c_member @t9 @t88 @t17)) % 247.16/247.48 (define @t558 () (@list @t92 @t17 @t88 @t9)) % 247.16/247.48 (define @t559 () (tptp.c_Set_Oinsert @t9 @t88 @t8)) % 247.16/247.48 (define @t560 () (tptp.c_Finite__Set_Ofinite @t9 @t559)) % 247.16/247.48 (define @t561 () (@var "V_D_2" $$unsorted)) % 247.16/247.48 (define @t562 () (tptp.c_Set_Oinsert @t9 @t88 @t17)) % 247.16/247.48 (define @t563 () (= @t92 @t88)) % 247.16/247.48 (define @t564 () (tptp.c_Set_Oinsert @t9 @t88 @t84)) % 247.16/247.48 (define @t565 () (tptp.c_member @t9 @t92 @t564)) % 247.16/247.48 (define @t566 () (tptp.c_Set_Oinsert @t9 @t24 @t17)) % 247.16/247.48 (define @t567 () (tptp.c_Set_Oinsert @t9 @t24 @t84)) % 247.16/247.48 (define @t568 () (tptp.c_Set_Oinsert @t9 @t26 @t8)) % 247.16/247.48 (define @t569 () (or (= @t26 @t24) @t227)) % 247.16/247.48 (define @t570 () (tptp.hBOOL (tptp.hAPP @t568 @t24))) % 247.16/247.48 (define @t571 () (= @t570 @t569)) % 247.16/247.48 (define @t572 () (@list @t24 @t8 @t26 @t9)) % 247.16/247.48 (define @t573 () (forall @t572 @t571)) % 247.16/247.48 (define @t574 () (@list @t8 @t88 @t9)) % 247.16/247.48 (define @t575 () (tptp.c_Set_Oinsert @t9 @t92 @t84)) % 247.16/247.48 (define @t576 () (=> @t185 (= (tptp.hAPP @t47 @t549) @t366))) % 247.16/247.48 (define @t577 () (=> @t551 (= @t550 (tptp.hAPP tptp.c_Nat_OSuc @t10)))) % 247.16/247.48 (define @t578 () (@var "B_B" $$unsorted)) % 247.16/247.48 (define @t579 () (=> (= @t304 @t67) (= @t578 @t84))) % 247.16/247.48 (define @t580 () (tptp.c_Finite__Set_Ocard @t9 @t578)) % 247.16/247.48 (define @t581 () (@var "B_b" $$unsorted)) % 247.16/247.48 (define @t582 () (tptp.c_member @t9 @t581 @t578)) % 247.16/247.48 (define @t583 () (not @t582)) % 247.16/247.48 (define @t584 () (= @t8 (tptp.c_Set_Oinsert @t9 @t581 @t578))) % 247.16/247.48 (define @t585 () (and @t584 @t583 (= @t580 @t304) @t579)) % 247.16/247.48 (define @t586 () (@list @t581 @t578)) % 247.16/247.48 (define @t587 () (exists @t586 @t585)) % 247.16/247.48 (define @t588 () (= @t10 (tptp.hAPP tptp.c_Nat_OSuc @t304))) % 247.16/247.48 (define @t589 () (= @t588 @t587)) % 247.16/247.48 (define @t590 () (@list @t304 @t8 @t9)) % 247.16/247.48 (define @t591 () (forall @t590 @t589)) % 247.16/247.48 (define @t592 () (@var "T_1" $$unsorted)) % 247.16/247.48 (define @t593 () (@var "T_2" $$unsorted)) % 247.16/247.48 (define @t594 () (tptp.tc_fun @t593 @t592)) % 247.16/247.48 (define @t595 () (@list @t593 @t592)) % 247.16/247.48 (define @t596 () (tptp.class_Finite__Set_Ofinite @t592)) % 247.16/247.48 (define @t597 () (and (tptp.class_Finite__Set_Ofinite @t593) @t596)) % 247.16/247.48 (define @t598 () (@list @t592 @t593)) % 247.16/247.48 (define @t599 () (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 247.16/247.48 (define @t600 () (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 247.16/247.48 (define @t601 () (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 247.16/247.48 (define @t602 () (tptp.class_Orderings_Otop tptp.tc_HOL_Obool)) % 247.16/247.48 (define @t603 () (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 247.16/247.48 (define @t604 () (tptp.class_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit)) % 247.16/247.48 (define @t605 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t24) @t26))) % 247.16/247.48 (define @t606 () (@list @t26 @t24)) % 247.16/247.48 (define @t607 () (@var "B_h" $$unsorted)) % 247.16/247.48 (define @t608 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 @t521)) % 247.16/247.48 (define @t609 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 @t67)) % 247.16/247.48 (define @t610 () (= @t609 @t608)) % 247.16/247.48 (define @t611 () (= @t544 @t610)) % 247.16/247.48 (define @t612 () (forall @t391 (= @t346 @t390))) % 247.16/247.48 (define @t613 () (= @t67 @t521)) % 247.16/247.48 (define @t614 () (= @t613 @t610)) % 247.16/247.48 (define @t615 () (@list false)) % 247.16/247.48 (define @t616 () (@list tptp.tc_Nat_Onat)) % 247.16/247.48 (define @t617 () (not @t613)) % 247.16/247.48 (define @t618 () (not @t600)) % 247.16/247.48 (define @t619 () (or @t618 @t617)) % 247.16/247.48 (define @t620 () (@list false false)) % 247.16/247.48 (define @t621 () (not @t610)) % 247.16/247.48 (define @t622 () (@list true false)) % 247.16/247.48 (define @t623 () (@list @t521 @t67)) % 247.16/247.48 (define @t624 () (tptp.hAPP tptp.c_Nat_OSuc @t521)) % 247.16/247.48 (define @t625 () (= @t624 @t608)) % 247.16/247.48 (define @t626 () (@list @t521)) % 247.16/247.48 (define @t627 () (= @t608 @t624)) % 247.16/247.48 (define @t628 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t521)) % 247.16/247.48 (define @t629 () (not @t599)) % 247.16/247.48 (define @t630 () (or @t629 @t628)) % 247.16/247.48 (define @t631 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t67 @t408)) % 247.16/247.48 (define @t632 () (forall @t411 (not (= @t521 @t631)))) % 247.16/247.48 (define @t633 () (not @t632)) % 247.16/247.48 (define @t634 () (= @t628 @t633)) % 247.16/247.48 (define @t635 () (@quantifiers_skolemize @t632 0)) % 247.16/247.48 (define @t636 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t67 @t635)) % 247.16/247.48 (define @t637 () (= @t521 @t636)) % 247.16/247.48 (define @t638 () (not @t637)) % 247.16/247.48 (define @t639 () (not @t638)) % 247.16/247.48 (define @t640 () (@list true)) % 247.16/247.48 (define @t641 () (@list @t608 @t67)) % 247.16/247.48 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t608)) % 247.16/247.48 (define @t643 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t608)) % 247.16/247.48 (define @t644 () (= @t608 @t67)) % 247.16/247.48 (define @t645 () (or @t643 @t644)) % 247.16/247.48 (define @t646 () (forall @t238 (= @t278 (or @t233 @t346)))) % 247.16/247.49 (define @t647 () (= @t642 @t645)) % 247.16/247.49 (define @t648 () (= @t67 @t608)) % 247.16/247.49 (define @t649 () (or @t643 @t648)) % 247.16/247.49 (define @t650 () (= @t649 @t642)) % 247.16/247.49 (define @t651 () (or @t629 @t643)) % 247.16/247.49 (define @t652 () (not @t643)) % 247.16/247.49 (define @t653 () (@list @t643)) % 247.16/247.49 (define @t654 () (forall @t411 (not (= @t608 @t631)))) % 247.16/247.49 (define @t655 () (not @t654)) % 247.16/247.49 (define @t656 () (= @t642 @t655)) % 247.16/247.49 (define @t657 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t67 (@quantifiers_skolemize @t654 0))) % 247.16/247.49 (define @t658 () (= @t608 @t657)) % 247.16/247.49 (define @t659 () (not @t658)) % 247.16/247.49 (define @t660 () (not @t659)) % 247.16/247.49 (define @t661 () (@list @t654)) % 247.16/247.49 (define @t662 () (= @t3 @t91)) % 247.16/247.49 (define @t663 () (forall @t95 (or (not @t93) @t662))) % 247.16/247.49 (define @t664 () (= @t5 @t92)) % 247.16/247.49 (define @t665 () (= @t99 (not (forall @t7 (or (not @t664) (not @t663)))))) % 247.16/247.49 (define @t666 () (and @t664 @t663)) % 247.16/247.49 (define @t667 () (forall @t7 (not @t666))) % 247.16/247.49 (define @t668 () (not @t667)) % 247.16/247.49 (define @t669 () (not (= @t525 (tptp.hAPP tptp.c_Nat_OSuc @t91)))) % 247.16/247.49 (define @t670 () (not (forall @t95 (or @t669 @t662)))) % 247.16/247.49 (define @t671 () (tptp.hAPP tptp.c_Nat_OSuc @t3)) % 247.16/247.49 (define @t672 () (not (= @t671 @t525))) % 247.16/247.49 (define @t673 () (or @t672 @t670)) % 247.16/247.49 (define @t674 () (forall @t7 @t673)) % 247.16/247.49 (define @t675 () (not @t674)) % 247.16/247.49 (define @t676 () (tptp.c_member tptp.tc_Nat_Onat @t525 @t368)) % 247.16/247.49 (define @t677 () (= @t676 @t675)) % 247.16/247.49 (define @t678 () (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t316)) % 247.16/247.49 (define @t679 () (not @t678)) % 247.16/247.49 (define @t680 () (or @t679 @t677)) % 247.16/247.49 (define @t681 () (forall @t102 (or (not @t22) @t665))) % 247.16/247.49 (define @t682 () (forall @t7 (or (not (= @t525 @t671)) @t670))) % 247.16/247.49 (define @t683 () (not @t682)) % 247.16/247.49 (define @t684 () (= @t676 @t683)) % 247.16/247.49 (define @t685 () (or @t679 @t684)) % 247.16/247.49 (define @t686 () (tptp.c_member tptp.tc_Nat_Onat @t525 @t369)) % 247.16/247.49 (define @t687 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t525)) % 247.16/247.49 (define @t688 () (not @t601)) % 247.16/247.49 (define @t689 () (or @t688 (= @t686 @t687))) % 247.16/247.49 (define @t690 () (forall @t376 (or (not @t158) @t375))) % 247.16/247.49 (define @t691 () (= @t687 @t686)) % 247.16/247.49 (define @t692 () (or @t688 @t691)) % 247.16/247.49 (define @t693 () (@list tptp.tc_Product__Type_Ounit)) % 247.16/247.49 (define @t694 () (tptp.c_Finite__Set_Ofinite tptp.tc_Product__Type_Ounit @t524)) % 247.16/247.49 (define @t695 () (not @t604)) % 247.16/247.49 (define @t696 () (or @t695 @t694)) % 247.16/247.49 (define @t697 () (not @t694)) % 247.16/247.49 (define @t698 () (or @t697 @t687)) % 247.16/247.49 (define @t699 () (@quantifiers_skolemize @t682 0)) % 247.16/247.49 (define @t700 () (tptp.hAPP tptp.c_Nat_OSuc @t699)) % 247.16/247.49 (define @t701 () (= @t525 @t700)) % 247.16/247.49 (define @t702 () (not @t701)) % 247.16/247.49 (define @t703 () (or @t702 (not (forall @t95 (or @t669 (= @t91 @t699)))))) % 247.16/247.49 (define @t704 () (not @t703)) % 247.16/247.49 (define @t705 () (or @t669 (= @t699 @t91))) % 247.16/247.49 (define @t706 () (forall @t95 @t705)) % 247.16/247.49 (define @t707 () (not @t706)) % 247.16/247.49 (define @t708 () (or @t702 @t707)) % 247.16/247.49 (define @t709 () (not @t708)) % 247.16/247.49 (define @t710 () (forall @t360 (not @t359))) % 247.16/247.49 (define @t711 () (not @t710)) % 247.16/247.49 (define @t712 () (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t355 @t608))) % 247.16/247.49 (define @t713 () (not (= @t624 @t357))) % 247.16/247.49 (define @t714 () (or @t713 @t712)) % 247.16/247.49 (define @t715 () (forall @t360 @t714)) % 247.16/247.49 (define @t716 () (not @t715)) % 247.16/247.49 (define @t717 () (= @t67 @t624)) % 247.16/247.49 (define @t718 () (or @t717 @t716)) % 247.16/247.49 (define @t719 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t624 (tptp.hAPP tptp.c_Nat_OSuc @t608))) % 247.16/247.49 (define @t720 () (= @t719 @t718)) % 247.16/247.49 (define @t721 () (forall @t238 (= @t345 (or (= @t67 @t231) (not (forall @t360 (or (not @t358) (not @t356)))))))) % 247.16/247.49 (define @t722 () (forall @t360 (or (not (= @t357 @t624)) @t712))) % 247.16/247.49 (define @t723 () (not @t722)) % 247.16/247.49 (define @t724 () (or @t717 @t723)) % 247.16/247.49 (define @t725 () (= @t719 @t724)) % 247.16/247.49 (define @t726 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t319 @t521)) % 247.16/247.49 (define @t727 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t67 @t624)) % 247.16/247.49 (define @t728 () (tptp.hAPP tptp.c_Nat_OSuc @t727)) % 247.16/247.49 (define @t729 () (not @t346)) % 247.16/247.49 (define @t730 () (or @t643 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t608 @t67))) % 247.16/247.49 (define @t731 () (not @t648)) % 247.16/247.49 (define @t732 () (not @t644)) % 247.16/247.49 (define @t733 () (= @t730 @t732)) % 247.16/247.49 (define @t734 () (forall @t238 (= @t234 @t729))) % 247.16/247.49 (define @t735 () (= @t731 @t730)) % 247.16/247.49 (define @t736 () (@quantifiers_skolemize @t722 0)) % 247.16/247.49 (define @t737 () (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t736 @t608))) % 247.16/247.49 (define @t738 () (tptp.hAPP tptp.c_Nat_OSuc @t736)) % 247.16/247.49 (define @t739 () (= @t624 @t738)) % 247.16/247.49 (define @t740 () (not @t739)) % 247.16/247.49 (define @t741 () (or @t740 @t737)) % 247.16/247.49 (define @t742 () (not @t741)) % 247.16/247.49 (define @t743 () (not (= @t738 @t624))) % 247.16/247.49 (define @t744 () (or @t743 @t737)) % 247.16/247.49 (define @t745 () (not @t744)) % 247.16/247.49 (define @t746 () (tptp.c_Orderings_Obot__class_Obot @t523)) % 247.16/247.49 (define @t747 () (tptp.hAPP @t746 @t738)) % 247.16/247.49 (define @t748 () (tptp.hBOOL @t747)) % 247.16/247.49 (define @t749 () (tptp.c_member tptp.tc_Product__Type_Ounit @t581 @t746)) % 247.16/247.49 (define @t750 () (not (= @t524 (tptp.c_Set_Oinsert tptp.tc_Product__Type_Ounit @t581 @t746)))) % 247.16/247.49 (define @t751 () (or @t750 @t749)) % 247.16/247.49 (define @t752 () (@list @t581)) % 247.16/247.49 (define @t753 () (forall @t752 @t751)) % 247.16/247.49 (define @t754 () (@quantifiers_skolemize @t753 0)) % 247.16/247.49 (define @t755 () (or (= @t738 @t754) @t748)) % 247.16/247.49 (define @t756 () (tptp.c_Set_Oinsert tptp.tc_Product__Type_Ounit @t754 @t746)) % 247.16/247.49 (define @t757 () (tptp.hAPP @t756 @t738)) % 247.16/247.49 (define @t758 () (tptp.hBOOL @t757)) % 247.16/247.49 (define @t759 () (= @t758 @t755)) % 247.16/247.49 (define @t760 () (forall @t572 (= @t570 (or @t27 @t227)))) % 247.16/247.49 (define @t761 () (= @t754 @t738)) % 247.16/247.49 (define @t762 () (or @t761 @t748)) % 247.16/247.49 (define @t763 () (= @t758 @t762)) % 247.16/247.49 (define @t764 () (@list @t760)) % 247.16/247.49 (define @t765 () (forall @t7 (not (tptp.c_member tptp.tc_Product__Type_Ounit @t3 @t524)))) % 247.16/247.49 (define @t766 () (@quantifiers_skolemize @t765 0)) % 247.16/247.49 (define @t767 () (not @t264)) % 247.16/247.49 (define @t768 () (and @t767 @t617)) % 247.16/247.49 (define @t769 () (or @t69 @t768 @t68)) % 247.16/247.49 (define @t770 () (=> @t767 @t613)) % 247.16/247.49 (define @t771 () (=> @t770 @t68)) % 247.16/247.49 (define @t772 () (not @t765)) % 247.16/247.49 (define @t773 () (and @t772 @t617)) % 247.16/247.49 (define @t774 () (or @t697 @t773 (= @t525 @t67))) % 247.16/247.49 (define @t775 () (forall @t52 @t769)) % 247.16/247.49 (define @t776 () (= @t67 @t525)) % 247.16/247.49 (define @t777 () (or @t697 @t773 @t776)) % 247.16/247.49 (define @t778 () (tptp.c_member tptp.tc_Product__Type_Ounit @t766 @t524)) % 247.16/247.49 (define @t779 () (not @t778)) % 247.16/247.49 (define @t780 () (not @t779)) % 247.16/247.49 (define @t781 () (tptp.hAPP @t524 @t766)) % 247.16/247.49 (define @t782 () (tptp.hBOOL @t781)) % 247.16/247.49 (define @t783 () (= @t778 @t782)) % 247.16/247.49 (define @t784 () (tptp.c_Orderings_Otop__class_Otop tptp.tc_HOL_Obool)) % 247.16/247.49 (define @t785 () (= @t781 @t784)) % 247.16/247.49 (define @t786 () (not @t602)) % 247.16/247.49 (define @t787 () (or @t786 @t785)) % 247.16/247.49 (define @t788 () (tptp.hAPP @t524 @t738)) % 247.16/247.49 (define @t789 () (or @t786 (= @t788 @t784))) % 247.16/247.49 (define @t790 () (forall @t36 (or (not @t35) @t34))) % 247.16/247.49 (define @t791 () (@list @t738 tptp.tc_Product__Type_Ounit tptp.tc_HOL_Obool)) % 247.16/247.49 (define @t792 () (= @t784 @t788)) % 247.16/247.49 (define @t793 () (or @t786 @t792)) % 247.16/247.49 (define @t794 () (@list @t790)) % 247.16/247.49 (define @t795 () (= @t67 @t304)) % 247.16/247.49 (define @t796 () (= @t84 @t578)) % 247.16/247.49 (define @t797 () (= @t304 @t580)) % 247.16/247.49 (define @t798 () (not @t797)) % 247.16/247.49 (define @t799 () (not @t584)) % 247.16/247.49 (define @t800 () (=> @t795 @t796)) % 247.16/247.49 (define @t801 () (not @t800)) % 247.16/247.49 (define @t802 () (not @t583)) % 247.16/247.49 (define @t803 () (or @t799 @t802 @t798 @t801)) % 247.16/247.49 (define @t804 () (and @t584 @t583 @t797 @t800)) % 247.16/247.49 (define @t805 () (forall @t586 (not @t804))) % 247.16/247.49 (define @t806 () (not @t805)) % 247.16/247.49 (define @t807 () (not (= @t67 (tptp.c_Finite__Set_Ocard tptp.tc_Product__Type_Ounit @t746)))) % 247.16/247.49 (define @t808 () (or @t807 @t753)) % 247.16/247.49 (define @t809 () (or @t807 @t751)) % 247.16/247.49 (define @t810 () (or @t750 @t749 @t807)) % 247.16/247.49 (define @t811 () (not (= @t746 @t746))) % 247.16/247.49 (define @t812 () (or @t750 @t749 @t807 @t811)) % 247.16/247.49 (define @t813 () (not (= @t578 @t746))) % 247.16/247.49 (define @t814 () (not (= @t67 (tptp.c_Finite__Set_Ocard tptp.tc_Product__Type_Ounit @t578)))) % 247.16/247.49 (define @t815 () (tptp.c_member tptp.tc_Product__Type_Ounit @t581 @t578)) % 247.16/247.49 (define @t816 () (not (= @t524 (tptp.c_Set_Oinsert tptp.tc_Product__Type_Ounit @t581 @t578)))) % 247.16/247.49 (define @t817 () (or @t813 @t816 @t815 @t814 @t813)) % 247.16/247.49 (define @t818 () (@list @t578)) % 247.16/247.49 (define @t819 () (or @t816 @t815 @t814 @t813)) % 247.16/247.49 (define @t820 () (forall @t818 @t819)) % 247.16/247.49 (define @t821 () (forall @t752 @t820)) % 247.16/247.49 (define @t822 () (not (= @t746 @t578))) % 247.16/247.49 (define @t823 () (and (= @t67 @t67) @t822)) % 247.16/247.49 (define @t824 () (or @t816 @t815 @t814 @t823)) % 247.16/247.49 (define @t825 () (forall @t586 @t824)) % 247.16/247.49 (define @t826 () (not @t825)) % 247.16/247.49 (define @t827 () (= (= @t525 @t319) @t826)) % 247.16/247.49 (define @t828 () (forall @t590 (= @t588 (not (forall @t586 (or @t799 @t582 @t798 (and @t795 (not @t796)))))))) % 247.16/247.49 (define @t829 () (not @t808)) % 247.16/247.49 (define @t830 () (= @t319 @t525)) % 247.16/247.49 (define @t831 () (= @t830 @t829)) % 247.16/247.49 (define @t832 () (= @t524 @t756)) % 247.16/247.49 (define @t833 () (tptp.c_member tptp.tc_Product__Type_Ounit @t754 @t746)) % 247.16/247.49 (define @t834 () (not @t832)) % 247.16/247.49 (define @t835 () (or @t834 @t833)) % 247.16/247.49 (define @t836 () (@list @t835)) % 247.16/247.49 (define @t837 () (tptp.hAPP @t746 @t754)) % 247.16/247.49 (define @t838 () (tptp.hBOOL @t837)) % 247.16/247.49 (define @t839 () (= @t833 @t838)) % 247.16/247.49 (define @t840 () (not @t838)) % 247.16/247.49 (define @t841 () (= @t108 @t110)) % 247.16/247.49 (define @t842 () (tptp.c_Orderings_Obot__class_Obot tptp.tc_HOL_Obool)) % 247.16/247.49 (define @t843 () (not @t603)) % 247.16/247.49 (define @t844 () (or @t843 (= @t842 @t837))) % 247.16/247.49 (define @t845 () (forall @t36 (or (not @t109) @t841))) % 247.16/247.49 (define @t846 () (= @t837 @t842)) % 247.16/247.49 (define @t847 () (or @t843 @t846)) % 247.16/247.49 (define @t848 () (= @t842 @t747)) % 247.16/247.49 (define @t849 () (or @t843 @t848)) % 247.16/247.49 (define @t850 () (tptp.hAPP @t746 @t700)) % 247.16/247.49 (define @t851 () (tptp.hBOOL @t850)) % 247.16/247.49 (define @t852 () (or (= @t700 @t754) @t851)) % 247.16/247.49 (define @t853 () (tptp.hAPP @t756 @t700)) % 247.16/247.49 (define @t854 () (tptp.hBOOL @t853)) % 247.16/247.49 (define @t855 () (= @t854 @t852)) % 247.16/247.49 (define @t856 () (= @t754 @t700)) % 247.16/247.49 (define @t857 () (or @t856 @t851)) % 247.16/247.49 (define @t858 () (= @t854 @t857)) % 247.16/247.49 (define @t859 () (tptp.hAPP @t524 @t700)) % 247.16/247.49 (define @t860 () (or @t786 (= @t859 @t784))) % 247.16/247.49 (define @t861 () (@list @t700 tptp.tc_Product__Type_Ounit tptp.tc_HOL_Obool)) % 247.16/247.49 (define @t862 () (= @t784 @t859)) % 247.16/247.49 (define @t863 () (or @t786 @t862)) % 247.16/247.49 (define @t864 () (= @t842 @t850)) % 247.16/247.49 (define @t865 () (or @t843 @t864)) % 247.16/247.49 (define @t866 () (not @t856)) % 247.16/247.49 (define @t867 () (not @t761)) % 247.16/247.49 (define @t868 () (= @t635 @t636)) % 247.16/247.49 (define @t869 () (not @t868)) % 247.16/247.49 (define @t870 () (not @t627)) % 247.16/247.49 (define @t871 () (= @t726 @t727)) % 247.16/247.49 (define @t872 () (not @t871)) % 247.16/247.49 (define @t873 () (= @t319 @t609)) % 247.16/247.49 (define @t874 () (not @t873)) % 247.16/247.49 (define @t875 () (= @t319 @t521)) % 247.16/247.49 (define @t876 () (not @t875)) % 247.16/247.49 (define @t877 () (= @t521 @t525)) % 247.16/247.49 (define @t878 () (not @t877)) % 247.16/247.49 (define @t879 () (= @t727 @t636)) % 247.16/247.49 (define @t880 () (= @t636 @t727)) % 247.16/247.49 (define @t881 () (not @t880)) % 247.16/247.49 (define @t882 () (= @t319 @t608)) % 247.16/247.49 (define @t883 () (and @t877 @t875 @t873 @t621 @t871 @t627 @t637 @t868 @t658 @t701 @t739 @t761)) % 247.16/247.49 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t7 @t6) (= @t2 @t1)))) % 247.16/247.49 (assume @p2 (forall @t16 (=> @t15 @t14))) % 247.16/247.49 (assume @p3 (forall @t23 (=> @t22 (= (= @t12 @t19) @t18)))) % 247.16/247.49 (assume @p4 (forall @t25 (tptp.hBOOL (tptp.hAPP @t21 @t24)))) % 247.16/247.49 (assume @p5 (forall @t31 (=> @t22 @t30))) % 247.16/247.49 (assume @p6 (forall @t31 (=> @t22 (=> @t29 @t27)))) % 247.16/247.49 (assume @p7 @t37) % 247.16/247.49 (assume @p8 (forall @t16 (= @t15 (forall @t7 (=> @t43 (forall @t42 (=> @t41 (=> (= @t5 @t40) @t39)))))))) % 247.16/247.49 (assume @p9 (forall @t25 (=> (tptp.class_Groups_Ozero @t9) (= (= @t44 @t24) @t45)))) % 247.16/247.49 (assume @p10 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 247.16/247.49 (assume @p11 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 247.16/247.49 (assume @p12 (tptp.c_Finite__Set_Ofinite tptp.tc_Arrow__Order__Mirabelle_Oindi @t46)) % 247.16/247.49 (assume @p13 (forall (@list @t48 @t11 @t47 @t9) (=> @t49 (tptp.c_Finite__Set_Ofinite @t11 (tptp.c_Set_Oimage @t9 @t11 @t48 @t47))))) % 247.16/247.49 (assume @p14 (forall @t52 (=> @t51 @t50))) % 247.16/247.49 (assume @p15 (forall @t55 (= (tptp.c_Finite__Set_Ofinite @t54 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t54 tptp.tc_HOL_Obool))) @t53))) % 247.16/247.49 (assume @p16 (forall @t62 (= (tptp.c_Finite__Set_Ofinite @t59 @t61) (and @t53 @t58)))) % 247.16/247.49 (assume @p17 (forall @t62 (=> @t64 @t58))) % 247.16/247.49 (assume @p18 (forall @t62 (=> @t53 (=> @t58 (tptp.c_Finite__Set_Ofinite @t65 (tptp.c_Orderings_Otop__class_Otop (tptp.tc_fun @t65 tptp.tc_HOL_Obool))))))) % 247.16/247.49 (assume @p19 @t66) % 247.16/247.49 (assume @p20 (forall @t52 (=> @t69 @t68))) % 247.16/247.49 (assume @p21 (forall @t16 (=> (tptp.c_Finite__Set_Ofinite @t9 @t72) (=> @t71 @t70)))) % 247.16/247.49 (assume @p22 (forall @t52 (=> @t53 (=> (= @t10 @t73) (= @t8 @t21))))) % 247.16/247.49 (assume @p23 (forall @t76 (=> @t53 (=> @t75 @t74)))) % 247.16/247.49 (assume @p24 (forall @t76 (=> @t53 (=> @t74 @t75)))) % 247.16/247.49 (assume @p25 (forall @t77 (=> @t50 (=> @t14 @t15)))) % 247.16/247.49 (assume @p26 (forall @t77 (=> @t50 (= @t15 @t14)))) % 247.16/247.49 (assume @p27 (forall (@list @t1 @t17 @t8 @t2 @t11 @t9) (=> @t15 (=> @t80 (=> (tptp.c_Fun_Oinj__on @t11 @t9 @t1 @t17) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.c_Set_Oimage @t11 @t9 @t1 @t17) @t8) (=> @t50 (=> @t79 (= @t10 @t78))))))))) % 247.16/247.49 (assume @p28 @t82) % 247.16/247.49 (assume @p29 (forall @t16 (=> @t15 (= (tptp.c_Set_Oimage @t11 @t9 @t83 @t12) @t8)))) % 247.16/247.49 (assume @p30 (forall @t16 (=> @t15 (tptp.c_Fun_Oinj__on @t11 @t9 @t83 @t12)))) % 247.16/247.49 (assume @p31 (forall (@list @t24 @t2 @t11 @t9) (=> @t22 (= (tptp.hAPP (tptp.c_Fun_Othe__inv__into @t9 @t11 @t21 @t2) @t28) @t24)))) % 247.16/247.49 (assume @p32 (forall @t52 (= @t68 (or @t85 @t69)))) % 247.16/247.49 (assume @p33 (forall @t16 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Finite__Set_Ocard @t9 @t72) (tptp.c_Finite__Set_Ocard @t11 @t8)) (not @t71)))) % 247.16/247.49 (assume @p34 (forall @t23 (=> @t22 (= @t87 @t86)))) % 247.16/247.49 (assume @p35 (forall (@list @t8 @t88 @t2 @t11 @t9) (=> @t22 (= (tptp.c_member @t11 @t90 @t12) @t89)))) % 247.16/247.49 (assume @p36 @t103) % 247.16/247.49 (assume @p37 (forall @t77 (=> @t50 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t10)))) % 247.16/247.49 (assume @p38 (forall @t106 (=> @t105 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t104 @t104)))) % 247.16/247.49 (assume @p39 (forall @t55 (tptp.c_Finite__Set_Ofinite @t9 @t84))) % 247.16/247.49 (assume @p40 (forall @t107 (tptp.c_Fun_Oinj__on @t9 @t11 @t2 @t84))) % 247.16/247.49 (assume @p41 (forall @t106 (=> @t105 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t104 @t104))))) % 247.16/247.49 (assume @p42 (forall @t106 (=> @t109 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t108 @t104)))) % 247.16/247.49 (assume @p43 @t112) % 247.16/247.49 (assume @p44 (forall @t117 (=> @t116 (= @t115 @t113)))) % 247.16/247.49 (assume @p45 (forall @t117 (=> @t116 (= (not @t119) @t118)))) % 247.16/247.49 (assume @p46 (forall @t117 (=> @t116 (= @t120 (or @t114 @t118))))) % 247.16/247.49 (assume @p47 (forall @t117 (=> @t116 (= @t115 (or @t118 @t27))))) % 247.16/247.49 (assume @p48 (forall @t123 (=> @t122 (= @t121 (forall @t7 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t5 @t4)))))) % 247.16/247.49 (assume @p49 (forall @t127 (=> @t116 (or @t126 @t125)))) % 247.16/247.49 (assume @p50 (forall @t127 (=> @t116 (or @t126 @t128)))) % 247.16/247.49 (assume @p51 (forall @t117 (=> @t129 (= @t114 (and @t119 @t120))))) % 247.16/247.49 (assume @p52 (forall @t117 (=> @t105 (= @t114 (and @t119 (not @t113)))))) % 247.16/247.49 (assume @p53 (forall @t117 (=> @t129 (= @t27 (and @t119 @t113))))) % 247.16/247.49 (assume @p54 (forall @t117 (=> @t129 (= @t119 (or @t114 @t27))))) % 247.16/247.49 (assume @p55 (forall @t127 (=> @t116 (or @t131 @t130 @t125)))) % 247.16/247.49 (assume @p56 (forall @t117 (= (tptp.c_member @t9 @t24 (tptp.c_fequal @t26)) @t27))) % 247.16/247.49 (assume @p57 (forall @t127 (=> @t116 (=> @t132 @t128)))) % 247.16/247.49 (assume @p58 (forall @t133 (=> @t116 (=> (not @t128) @t131)))) % 247.16/247.49 (assume @p59 (forall @t135 (=> @t116 (=> (not @t118) @t134)))) % 247.16/247.49 (assume @p60 (forall @t117 (=> @t116 (=> @t115 @t136)))) % 247.16/247.49 (assume @p61 (forall @t143 (=> @t129 (=> @t142 (=> @t140 @t139))))) % 247.16/247.49 (assume @p62 (forall @t143 (=> @t129 (=> @t142 (=> @t145 @t144))))) % 247.16/247.49 (assume @p63 (forall @t127 (=> @t116 @t147))) % 247.16/247.49 (assume @p64 (forall (@list @t148 @t9 @t24 @t150) (=> @t152 (=> @t151 @t149)))) % 247.16/247.49 (assume @p65 (forall @t127 (=> @t129 (=> @t131 @t146)))) % 247.16/247.49 (assume @p66 (forall @t127 (=> @t105 (=> @t131 (not @t125))))) % 247.16/247.49 (assume @p67 (forall @t133 (=> @t116 (=> @t128 @t132)))) % 247.16/247.49 (assume @p68 (forall @t127 (=> @t105 (=> @t130 @t126)))) % 247.16/247.49 (assume @p69 (forall @t127 (=> @t105 (=> @t131 @t126)))) % 247.16/247.49 (assume @p70 (forall @t117 (=> @t116 (=> @t119 @t134)))) % 247.16/247.49 (assume @p71 (forall (@list @t24 @t1 @t2 @t9 @t11) (=> @t122 (=> @t121 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t28 @t153))))) % 247.16/247.49 (assume @p72 (forall @t127 (=> @t129 (=> @t131 (not (= @t124 @t104)))))) % 247.16/247.49 (assume @p73 (forall @t127 (=> @t129 (=> @t126 (or @t131 @t130))))) % 247.16/247.49 (assume @p74 (forall @t135 (=> @t129 (=> @t113 @t136)))) % 247.16/247.49 (assume @p75 (forall @t143 (=> @t129 (=> @t140 (=> @t142 @t139))))) % 247.16/247.49 (assume @p76 (forall @t154 (=> @t129 (=> @t145 (=> @t142 @t144))))) % 247.16/247.49 (assume @p77 (forall (@list @t24 @t148 @t150 @t9) (=> @t151 (=> @t152 @t149)))) % 247.16/247.49 (assume @p78 (forall @t143 (=> @t105 (=> @t139 (not @t144))))) % 247.16/247.49 (assume @p79 (forall @t154 (=> @t129 (=> @t144 (not @t139))))) % 247.16/247.49 (assume @p80 (forall @t159 (=> @t158 (=> @t141 (=> @t157 @t156))))) % 247.16/247.49 (assume @p81 (forall @t159 (=> @t129 (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t155 @t137) @t160))))) % 247.16/247.49 (assume @p82 (forall @t159 (=> @t158 (=> @t141 (=> @t162 @t161))))) % 247.16/247.49 (assume @p83 (forall @t159 (=> @t129 (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t155 @t137) @t163))))) % 247.16/247.49 (assume @p84 (forall @t159 (=> @t158 (=> @t139 (=> @t164 @t156))))) % 247.16/247.49 (assume @p85 (forall @t165 (=> @t129 (=> @t144 (=> @t164 @t160))))) % 247.16/247.49 (assume @p86 (forall @t169 (=> @t105 (=> @t131 @t168)))) % 247.16/247.49 (assume @p87 (forall @t169 (=> @t105 (=> @t131 (=> @t170 @t167))))) % 247.16/247.49 (assume @p88 (forall @t173 (=> @t129 (=> @t125 @t172)))) % 247.16/247.49 (assume @p89 (forall @t173 (=> @t129 (=> @t125 (=> @t174 @t171))))) % 247.16/247.49 (assume @p90 (forall @t159 (=> @t158 (=> @t140 (=> @t164 @t161))))) % 247.16/247.49 (assume @p91 (forall @t165 (=> @t129 (=> @t145 (=> @t164 @t163))))) % 247.16/247.49 (assume @p92 (forall @t169 (=> @t105 (=> @t126 @t168)))) % 247.16/247.49 (assume @p93 (forall @t127 (=> @t129 (=> @t126 (=> @t128 @t130))))) % 247.16/247.49 (assume @p94 (forall @t169 (=> @t105 (=> @t126 (=> @t170 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t104 @t166)))))) % 247.16/247.49 (assume @p95 (forall @t173 (=> @t129 (=> @t128 @t172)))) % 247.16/247.49 (assume @p96 (forall @t133 (=> @t129 (=> @t128 (=> @t126 @t130))))) % 247.16/247.49 (assume @p97 (forall @t173 (=> @t129 (=> @t128 (=> @t174 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t166 @t104)))))) % 247.16/247.49 (assume @p98 (forall @t127 (=> @t116 (=> (not @t126) @t128)))) % 247.16/247.49 (assume @p99 (forall @t127 (=> @t116 (=> @t132 (=> @t146 @t125))))) % 247.16/247.49 (assume @p100 (forall @t177 (=> @t15 (=> (= @t28 @t26) (=> @t176 (= @t175 @t24)))))) % 247.16/247.49 (assume @p101 (forall (@list @t24 @t8 @t2 @t11 @t9) (=> @t15 (=> @t176 (= (tptp.hAPP @t83 @t28) @t24))))) % 247.16/247.49 (assume @p102 (forall (@list @t17 @t24 @t8 @t2 @t11 @t9) (=> @t15 (=> (tptp.c_member @t11 @t24 @t12) (=> @t86 (tptp.c_member @t9 (tptp.hAPP @t83 @t24) @t17)))))) % 247.16/247.49 (assume @p103 (forall @t180 (=> @t179 (=> @t86 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t178 @t10) @t18))))) % 247.16/247.49 (assume @p104 (forall @t180 (=> @t179 (=> @t86 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t178))))) % 247.16/247.49 (assume @p105 (forall @t181 (=> @t86 (=> @t179 @t50)))) % 247.16/247.49 (assume @p106 (forall @t180 (=> @t179 (=> @t86 @t50)))) % 247.16/247.49 (assume @p107 (forall @t106 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t104 @t32)))) % 247.16/247.49 (assume @p108 (forall @t177 (=> @t15 (=> @t120 (=> @t176 (=> @t182 (not @t29))))))) % 247.16/247.49 (assume @p109 (forall @t177 (=> @t15 (=> @t176 (=> @t182 @t30))))) % 247.16/247.49 (assume @p110 (forall @t177 (=> @t15 (=> @t29 (=> @t176 (=> @t182 @t27)))))) % 247.16/247.49 (assume @p111 (forall @t184 (=> @t183 (=> @t86 @t15)))) % 247.16/247.49 (assume @p112 (forall (@list @t26 @t8 @t2 @t11 @t9) (=> @t15 (=> (tptp.c_member @t11 @t26 @t12) (= (tptp.hAPP @t2 @t175) @t26))))) % 247.16/247.49 (assume @p113 (forall @t52 (= @t186 (and @t185 @t50)))) % 247.16/247.49 (assume @p114 (forall @t23 (=> @t15 (=> @t80 (=> @t79 @t187))))) % 247.16/247.49 (assume @p115 (forall (@list @t2 @t17 @t11 @t8 @t9) (=> @t50 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t17 @t12) @t79)))) % 247.16/247.49 (assume @p116 (forall @t55 (= (tptp.c_Finite__Set_Ocard @t9 @t84) @t67))) % 247.16/247.49 (assume @p117 (forall @t52 (=> @t186 @t50))) % 247.16/247.49 (assume @p118 (forall @t190 (=> @t50 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t189) @t188)))) % 247.16/247.49 (assume @p119 (forall @t190 (=> @t50 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t189 @t8) (=> @t188 (= @t189 @t8)))))) % 247.16/247.49 (assume @p120 (forall @t195 (=> @t50 (=> @t79 (= (exists @t194 (and @t193 (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t192 @t17))) @t187))))) % 247.16/247.49 (assume @p121 (forall @t197 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t196))) % 247.16/247.49 (assume @p122 (forall @t197 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t196 @t67)))) % 247.16/247.49 (assume @p123 (forall @t52 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t84 @t8))) % 247.16/247.49 (assume @p124 (forall (@list @t9 @t8 @t11 @t24 @t2 @t92) (=> @t199 (=> @t198 (tptp.c_member @t9 @t92 @t72))))) % 247.16/247.49 (assume @p125 (forall @t25 (tptp.c_member @t9 @t24 @t21))) % 247.16/247.49 (assume @p126 (forall @t204 (=> @t86 @t203))) % 247.16/247.49 (assume @p127 (forall @t205 (not (tptp.c_member @t9 @t88 @t84)))) % 247.16/247.49 (assume @p128 (forall (@list @t206 @t11 @t9 @t8) (=> @t185 (= (exists @t194 (and @t193 (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t192 @t206))) (exists (@list @t207) (= (tptp.c_Set_Oimage @t11 @t9 @t207 @t206) @t8)))))) % 247.16/247.49 (assume @p129 (forall @t215 (= (exists @t214 (and @t213 @t212)) (exists @t7 (and @t210 @t208))))) % 247.16/247.49 (assume @p130 (forall (@list @t200 @t9 @t17 @t8) (=> @t18 (=> (=> @t202 (not @t201)) (not (=> (not @t202) @t201)))))) % 247.16/247.49 (assume @p131 (forall @t181 (=> @t86 (=> @t216 @t18)))) % 247.16/247.49 (assume @p132 (forall @t219 (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t218 @t217)))) % 247.16/247.49 (assume @p133 (forall @t204 (=> @t220 @t203))) % 247.16/247.49 (assume @p134 (forall @t52 (not (tptp.c_Orderings_Oord__class_Oless @t20 @t8 @t84)))) % 247.16/247.49 (assume @p135 (forall @t181 (= @t220 (and @t86 (not @t18))))) % 247.16/247.49 (assume @p136 (forall @t181 (= @t86 (or @t220 @t18)))) % 247.16/247.49 (assume @p137 (forall @t181 (=> @t220 @t86))) % 247.16/247.49 (assume @p138 (forall @t224 (=> @t220 (=> @t223 @t222)))) % 247.16/247.49 (assume @p139 (forall @t224 (=> @t86 @t225))) % 247.16/247.49 (assume @p140 (= (tptp.c_Orderings_Obot__class_Obot tptp.tc_Nat_Onat) @t67)) % 247.16/247.49 (assume @p141 (forall @t123 (=> @t122 (= (tptp.c_Orderings_Oord__class_Oless @t63 @t2 @t1) (and @t121 (not (tptp.c_Orderings_Oord__class_Oless__eq @t63 @t1 @t2))))))) % 247.16/247.49 (assume @p142 (forall @t184 (=> @t183 (=> @t220 (tptp.c_Orderings_Oord__class_Oless @t56 @t12 @t19))))) % 247.16/247.49 (assume @p143 (forall @t180 (=> @t179 (=> @t220 @t226)))) % 247.16/247.49 (assume @p144 (forall @t228 (= @t176 @t227))) % 247.16/247.49 (assume @p145 (forall (@list @t24 @t9 @t17 @t8) (=> @t18 (= @t176 @t229)))) % 247.16/247.49 (assume @p146 (forall (@list @t8 @t9 @t26 @t24) (=> @t27 (= @t176 @t182)))) % 247.16/247.49 (assume @p147 (forall (@list @t8 @t9 @t92 @t88) (=> @t230 (=> (tptp.c_member @t9 @t92 @t8) @t89)))) % 247.16/247.49 (assume @p148 (forall @t197 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t196 @t196)))) % 247.16/247.49 (assume @p149 @t239) % 247.16/247.49 (assume @p150 (forall @t241 (=> @t146 (=> (not @t240) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t124 @t104))))) % 247.16/247.49 (assume @p151 (forall @t246 (=> @t245 @t244))) % 247.16/247.49 (assume @p152 (forall (@list @t247 @t248) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t248 @t247) (not (= @t248 @t247))))) % 247.16/247.49 (assume @p153 (forall (@list @t150 @t209 @t231) (=> (=> @t233 @t250) (=> (=> @t235 @t250) (=> (=> @t232 @t250) @t250))))) % 247.16/247.49 (assume @p154 (forall @t254 (= @t253 (exists @t214 (forall @t7 (=> @t252 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t3 @t211))))))) % 247.16/247.49 (assume @p155 (forall @t52 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t8))) % 247.16/247.49 (assume @p156 (forall @t255 (= @t18 (and @t86 @t216)))) % 247.16/247.49 (assume @p157 (forall @t255 (=> @t18 @t86))) % 247.16/247.49 (assume @p158 (forall @t255 (=> @t18 @t216))) % 247.16/247.49 (assume @p159 (forall @t224 (=> @t86 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t221))))) % 247.16/247.49 (assume @p160 (forall @t255 (=> @t18 (not (=> @t86 (not @t216)))))) % 247.16/247.49 (assume @p161 (forall @t197 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t196))) % 247.16/247.49 (assume @p162 (forall @t258 (or @t257 @t256))) % 247.16/247.49 (assume @p163 (forall @t258 (=> @t243 @t257))) % 247.16/247.49 (assume @p164 (forall @t263 (=> @t262 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t261 @t259) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t260 @t259))))) % 247.16/247.49 (assume @p165 (forall @t258 (=> @t257 (=> @t256 @t243)))) % 247.16/247.49 (assume @p166 (forall @t254 (= @t253 (exists @t214 (forall @t7 (=> @t252 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t3 @t211))))))) % 247.16/247.49 (assume @p167 (forall @t180 (=> @t179 (=> @t86 (=> @t226 @t220))))) % 247.16/247.49 (assume @p168 (forall @t52 (= @t264 @t85))) % 247.16/247.49 (assume @p169 (forall @t52 (= @t265 @t185))) % 247.16/247.49 (assume @p170 (forall (@list @t200 @t9) (not (tptp.c_member @t9 @t200 @t84)))) % 247.16/247.49 (assume @p171 (forall (@list @t88 @t9 @t8) (=> @t85 (not @t89)))) % 247.16/247.49 (assume @p172 (forall (@list @t24 @t17 @t8 @t9) (=> @t86 (=> @t176 @t229)))) % 247.16/247.49 (assume @p173 (forall @t266 (=> @t176 (=> @t86 @t229)))) % 247.16/247.49 (assume @p174 (forall (@list @t11 @t2 @t92 @t8 @t24 @t9) (=> @t176 (=> @t199 (tptp.c_member @t11 @t92 @t12))))) % 247.16/247.49 (assume @p175 (forall @t267 (=> @t176 (tptp.c_member @t11 @t28 @t12)))) % 247.16/247.49 (assume @p176 (forall (@list @t8 @t2 @t11 @t268 @t9) (= (tptp.c_member @t9 @t268 @t72) (exists @t7 (and (tptp.c_member @t11 @t3 @t8) (= @t268 @t5)))))) % 247.16/247.49 (assume @p177 (forall @t52 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t84) @t85))) % 247.16/247.49 (assume @p178 (forall @t55 (not (= @t21 @t84)))) % 247.16/247.49 (assume @p179 (forall (@list @t8 @t2 @t9 @t11) (= (= @t72 @t84) @t270))) % 247.16/247.49 (assume @p180 (forall (@list @t2 @t9 @t11) (= (tptp.c_Set_Oimage @t11 @t9 @t2 @t269) @t84))) % 247.16/247.49 (assume @p181 (forall @t16 (= (= @t84 @t72) @t270))) % 247.16/247.49 (assume @p182 (forall @t197 (=> @t272 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t196)))) % 247.16/247.49 (assume @p183 (forall @t258 (=> @t273 @t272))) % 247.16/247.49 (assume @p184 (forall @t276 (= (not @t275) @t274))) % 247.16/247.49 (assume @p185 (forall @t52 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t21))) % 247.16/247.49 (assume @p186 (forall (@list @t2 @t11 @t17 @t8 @t9) (=> @t86 @t87))) % 247.16/247.49 (assume @p187 (forall (@list @t8 @t2 @t11 @t17 @t9) (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t17 @t72) (exists (@list @t277) (and (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t277 @t8) (= @t17 (tptp.c_Set_Oimage @t11 @t9 @t2 @t277))))))) % 247.16/247.49 (assume @p188 (forall @t276 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t67) @t275))) % 247.16/247.49 (assume @p189 (forall @t238 (= @t233 (and @t278 @t236)))) % 247.16/247.49 (assume @p190 @t281) % 247.16/247.49 (assume @p191 (forall @t258 (=> @t273 @t257))) % 247.16/247.49 (assume @p192 (forall @t258 (=> @t257 (=> @t244 @t273)))) % 247.16/247.49 (assume @p193 (forall @t258 (=> (or @t273 @t243) @t257))) % 247.16/247.49 (assume @p194 (forall @t289 (=> @t116 (=> @t288 (=> @t285 (=> @t284 @t283)))))) % 247.16/247.49 (assume @p195 (forall @t289 (=> @t116 (=> @t288 (=> @t285 (=> @t284 @t290)))))) % 247.16/247.49 (assume @p196 (forall @t289 (=> @t116 (=> @t285 (=> @t284 (= @t288 @t291)))))) % 247.16/247.49 (assume @p197 (forall @t294 (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t231 @t67) @t293))) % 247.16/247.49 (assume @p198 (forall (@list @t11 @t9 @t24 @t2 @t92) (=> @t199 (tptp.c_member @t9 @t92 @t295)))) % 247.16/247.49 (assume @p199 (forall (@list @t11 @t24 @t2 @t9) (tptp.c_member @t9 @t28 @t295))) % 247.16/247.49 (assume @p200 (forall @t298 (=> @t129 (=> @t297 @t296)))) % 247.16/247.49 (assume @p201 (forall @t300 (=> @t129 (= (= @t84 @t287) @t299)))) % 247.16/247.49 (assume @p202 (forall @t300 (=> @t129 (= @t296 @t299)))) % 247.16/247.49 (assume @p203 (forall @t289 (=> @t116 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t287 @t286) (or @t297 @t303))))) % 247.16/247.49 (assume @p204 (forall @t215 (= (forall @t214 (=> @t213 @t212)) (forall @t7 (=> @t210 @t208))))) % 247.16/247.49 (assume @p205 (forall @t308 (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OatMost @t9 @t306 @t304)) (tptp.hBOOL (tptp.hAPP @t307 @t304))))) % 247.16/247.49 (assume @p206 (forall @t308 (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OatLeast @t9 @t306 @t304)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t306 @t304) @t305))))) % 247.16/247.49 (assume @p207 (forall @t311 (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OlessThan @t9 @t309 @t304)) (tptp.hBOOL (tptp.hAPP @t310 @t304))))) % 247.16/247.49 (assume @p208 (forall @t311 (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OgreaterThan @t9 @t309 @t304)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t309 @t304) @t305))))) % 247.16/247.49 (assume @p209 (forall (@list @t217 @t218 @t306 @t305 @t9) (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OatLeastAtMost @t9 @t306 @t218 @t217)) (and @t313 @t312)))) % 247.16/247.49 (assume @p210 (forall (@list @t217 @t218 @t309 @t305 @t9) (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OgreaterThanLessThan @t9 @t309 @t218 @t217)) (and @t315 @t314)))) % 247.16/247.49 (assume @p211 (forall @t224 (=> @t220 @t225))) % 247.16/247.49 (assume @p212 (not (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat @t316))) % 247.16/247.49 (assume @p213 (forall @t317 (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OgreaterThanAtMost @t9 @t306 @t309 @t218 @t217)) (and @t315 @t312)))) % 247.16/247.49 (assume @p214 (forall @t317 (= (tptp.c_member @t9 @t305 (tptp.c_SetInterval_Oord_OatLeastLessThan @t9 @t306 @t309 @t218 @t217)) (and @t313 @t314)))) % 247.16/247.49 (assume @p215 (forall @t241 (=> @t240 @t318))) % 247.16/247.49 (assume @p216 (forall @t62 (=> @t64 (=> (not (= (tptp.c_Finite__Set_Ocard @t11 @t57) @t319)) @t53)))) % 247.16/247.49 (assume @p217 (forall (@list @t17 @t8 @t47 @t2 @t9) (=> @t322 (=> @t50 (=> (not (= @t17 @t84)) (=> @t216 @t321)))))) % 247.16/247.49 (assume @p218 (forall (@list @t17 @t8 @t47 @t1 @t268 @t2 @t11 @t9) (=> @t323 (=> @t70 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t56 @t17 @t8) @t321))))) % 247.16/247.49 (assume @p219 (forall @t325 (=> @t323 (=> @t70 (=> @t198 (= @t324 @t320)))))) % 247.16/247.49 (assume @p220 (forall @t258 (=> @t273 @t328))) % 247.16/247.49 (assume @p221 (forall @t197 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t196 @t326))) % 247.16/247.49 (assume @p222 (forall @t197 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t326))) % 247.16/247.49 (assume @p223 (forall @t197 (not (= @t196 @t326)))) % 247.16/247.49 (assume @p224 (forall @t197 (not (= @t326 @t196)))) % 247.16/247.49 (assume @p225 (forall (@list @t329 @t330) (= (= (tptp.hAPP tptp.c_Nat_OSuc @t330) (tptp.hAPP tptp.c_Nat_OSuc @t329)) (= @t330 @t329)))) % 247.16/247.49 (assume @p226 (forall @t241 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t104) (tptp.hAPP tptp.c_Nat_OSuc @t124)) @t130))) % 247.16/247.49 (assume @p227 (forall @t254 (tptp.c_Fun_Oinj__on tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc @t251))) % 247.16/247.49 (assume @p228 (forall (@list @t24 @t47 @t2 @t9) (=> @t322 @t331))) % 247.16/247.49 (assume @p229 (forall (@list @t24 @t47 @t1 @t268 @t2 @t11 @t9) (=> @t323 @t331))) % 247.16/247.49 (assume @p230 (forall @t335 (= (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t305 @t332)) (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t334 @t333)))) % 247.16/247.49 (assume @p231 (forall @t197 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t326 @t196)))) % 247.16/247.49 (assume @p232 (forall @t238 (= @t338 @t337))) % 247.16/247.49 (assume @p233 (forall @t238 (= @t339 (or @t278 (= @t231 @t336))))) % 247.16/247.49 (assume @p234 (forall @t341 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t336 @t340) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t231)))) % 247.16/247.49 (assume @p235 (forall @t258 (=> @t257 @t342))) % 247.16/247.49 (assume @p236 (forall @t258 (=> @t342 (=> (not @t257) (= @t242 @t326))))) % 247.16/247.49 (assume @p237 (forall @t258 (=> @t343 @t257))) % 247.16/247.49 (assume @p238 (forall @t238 (= (not @t233) @t344))) % 247.16/247.49 (assume @p239 (forall @t238 (= @t345 @t279))) % 247.16/247.49 (assume @p240 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t340 @t336) @t233))) % 247.16/247.49 (assume @p241 (forall @t341 (=> @t348 @t347))) % 247.16/247.49 (assume @p242 (forall @t246 (=> (not @t245) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t196 @t327) @t243)))) % 247.16/247.49 (assume @p243 (forall @t258 (=> @t273 @t349))) % 247.16/247.49 (assume @p244 (forall @t258 (=> @t273 (=> (not (= @t327 @t196)) @t350)))) % 247.16/247.49 (assume @p245 (forall @t263 (=> @t351 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t261 @t259) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t260) @t259))))) % 247.16/247.49 (assume @p246 (forall @t258 (=> @t349 (=> (not @t273) @t243)))) % 247.16/247.49 (assume @p247 (forall @t258 (=> @t350 @t273))) % 247.16/247.49 (assume @p248 (forall @t258 (=> @t328 @t273))) % 247.16/247.49 (assume @p249 (forall @t352 (not (= @t327 @t67)))) % 247.16/247.49 (assume @p250 (forall @t352 (not (= @t67 @t327)))) % 247.16/247.49 (assume @p251 (forall (@list @t353) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t353) @t67)))) % 247.16/247.49 (assume @p252 (forall (@list @t354) (not (= @t67 (tptp.hAPP tptp.c_Nat_OSuc @t354))))) % 247.16/247.49 (assume @p253 (forall @t276 (= @t274 (exists @t214 (= @t209 (tptp.hAPP tptp.c_Nat_OSuc @t211)))))) % 247.16/247.49 (assume @p254 (forall @t276 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t319) @t275))) % 247.16/247.49 (assume @p255 @t365) % 247.16/247.49 (assume @p256 (forall @t258 (=> @t343 @t273))) % 247.16/247.49 (assume @p257 (forall @t238 (=> @t278 @t347))) % 247.16/247.49 (assume @p258 (forall @t258 (=> @t273 @t343))) % 247.16/247.49 (assume @p259 (forall @t258 (=> @t257 @t349))) % 247.16/247.49 (assume @p260 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t340 @t209) @t233))) % 247.16/247.49 (assume @p261 (forall @t238 (= @t345 @t278))) % 247.16/247.49 (assume @p262 (forall @t341 (= @t232 @t337))) % 247.16/247.49 (assume @p263 (forall @t367 (=> @t322 (=> @t50 (=> @t176 (= @t366 @t320)))))) % 247.16/247.49 (assume @p264 (forall (@list @t251 @t48 @t47 @t2 @t9) (=> @t322 (=> (forall (@list @t3 @t91) (= (tptp.hAPP @t48 (tptp.hAPP @t5 @t91)) (tptp.hAPP (tptp.hAPP @t2 (tptp.hAPP @t48 @t3)) (tptp.hAPP @t48 @t91)))) (=> (tptp.c_Finite__Set_Ofinite @t9 @t251) (=> (not (= @t251 @t84)) (= (tptp.hAPP @t48 (tptp.hAPP @t47 @t251)) (tptp.hAPP @t47 (tptp.c_Set_Oimage @t9 @t9 @t48 @t251))))))))) % 247.16/247.49 (assume @p265 (= @t369 @t368)) % 247.16/247.49 (assume @p266 (forall @t372 (=> @t371 @t79))) % 247.16/247.49 (assume @p267 (forall @t117 (=> @t116 (= (= @t374 @t373) @t27)))) % 247.16/247.49 (assume @p268 @t377) % 247.16/247.49 (assume @p269 (forall @t117 (=> @t116 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t374 @t373) @t113)))) % 247.16/247.49 (assume @p270 (forall @t372 (= @t371 @t378))) % 247.16/247.49 (assume @p271 (forall @t195 (=> @t50 (=> @t79 @t371)))) % 247.16/247.49 (assume @p272 (forall @t372 (=> @t371 @t50))) % 247.16/247.49 (assume @p273 (forall @t62 (= (tptp.c_Sum__Type_OPlus @t9 @t11 @t21 @t57) @t61))) % 247.16/247.49 (assume @p274 (forall @t372 (= (= @t370 (tptp.c_Orderings_Obot__class_Obot @t60)) (and @t85 (= @t17 @t269))))) % 247.16/247.49 (assume @p275 (forall @t195 (and (=> @t378 @t380) (=> (not @t378) (= @t379 @t67))))) % 247.16/247.49 (assume @p276 (forall @t383 (=> @t240 @t382))) % 247.16/247.49 (assume @p277 (forall @t384 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t166) @t382))) % 247.16/247.49 (assume @p278 (forall @t384 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t166) @t385))) % 247.16/247.49 (assume @p279 (forall @t383 (=> @t318 @t385))) % 247.16/247.49 (assume @p280 (forall @t258 (= @t387 @t386))) % 247.16/247.49 (assume @p281 (forall @t383 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t104 @t381) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t124 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t104 @t166))))) % 247.16/247.49 (assume @p282 (forall (@list @t259 @t196 @t242) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t387 @t259) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t196 @t259))))) % 247.16/247.49 (assume @p283 @t392) % 247.16/247.49 (assume @p284 (forall (@list @t209 @t304 @t231) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t231 @t304) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t304)) @t235))) % 247.16/247.49 (assume @p285 (forall @t159 (=> (tptp.class_Groups_Oab__semigroup__add @t9) @t396))) % 247.16/247.49 (assume @p286 (forall @t401 (=> @t400 (= (= @t399 @t398) @t397)))) % 247.16/247.49 (assume @p287 (forall (@list @t200 @t88 @t92 @t9) (=> @t400 (= (= @t403 @t402) @t397)))) % 247.16/247.49 (assume @p288 (forall @t159 (=> @t400 @t405))) % 247.16/247.49 (assume @p289 (forall @t159 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t9) @t405))) % 247.16/247.49 (assume @p290 (forall @t165 (=> @t400 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t137 @t138) @t406) @t164)))) % 247.16/247.49 (assume @p291 (forall (@list @t304 @t8) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t8 @t407) (= @t8 @t407)))) % 247.16/247.49 (assume @p292 (forall @t246 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t387))) % 247.16/247.49 (assume @p293 (forall @t246 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t386))) % 247.16/247.49 (assume @p294 @t414) % 247.16/247.49 (assume @p295 (forall @t391 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t389 @t388) @t278))) % 247.16/247.49 (assume @p296 (forall @t416 (=> @t262 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t260 @t415)))) % 247.16/247.49 (assume @p297 (forall @t416 (=> @t262 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t260 @t417)))) % 247.16/247.49 (assume @p298 (forall @t263 (=> @t262 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t419 @t418)))) % 247.16/247.49 (assume @p299 (forall @t422 (=> @t262 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t259 @t420) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t419 @t421))))) % 247.16/247.49 (assume @p300 (forall @t425 (=> @t424 @t423))) % 247.16/247.49 (assume @p301 (forall @t425 (=> @t424 @t257))) % 247.16/247.49 (assume @p302 (forall @t425 (=> @t424 (not (=> @t257 (not @t423)))))) % 247.16/247.49 (assume @p303 (forall (@list @t261 @t260) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t426 @t260)))) % 247.16/247.49 (assume @p304 (forall (@list @t260 @t261) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t260) @t260)))) % 247.16/247.49 (assume @p305 (forall @t391 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t389 @t388) @t233))) % 247.16/247.49 (assume @p306 (forall @t416 (=> @t351 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t260 @t415)))) % 247.16/247.49 (assume @p307 (forall @t416 (=> @t351 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t260 @t417)))) % 247.16/247.49 (assume @p308 (forall @t263 (=> @t351 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t419 @t418)))) % 247.16/247.49 (assume @p309 (forall @t422 (=> @t351 (=> @t427 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t419 @t421))))) % 247.16/247.49 (assume @p310 (forall (@list @t196 @t242 @t420 @t259) (=> @t427 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 @t420) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t259 @t196)) @t273)))) % 247.16/247.49 (assume @p311 (forall @t263 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t426 @t259) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t260 @t259)))) % 247.16/247.49 (assume @p312 (forall @t258 (=> (= @t387 @t242) @t271))) % 247.16/247.49 (assume @p313 (forall @t238 (= (= @t428 @t67) (and @t362 @t275)))) % 247.16/247.49 (assume @p314 (forall @t352 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 @t67) @t242))) % 247.16/247.49 (assume @p315 @t430) % 247.16/247.49 (assume @p316 (forall @t434 (=> @t433 (=> @t432 @t139)))) % 247.16/247.49 (assume @p317 (forall @t436 (=> @t433 (=> @t435 @t139)))) % 247.16/247.49 (assume @p318 (forall @t442 (=> @t441 (=> @t139 @t440)))) % 247.16/247.49 (assume @p319 (forall @t159 (=> @t441 (=> @t139 @t432)))) % 247.16/247.49 (assume @p320 (forall @t159 (=> @t441 (=> @t139 @t435)))) % 247.16/247.49 (assume @p321 (forall @t444 (=> @t433 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t402 @t443) @t285)))) % 247.16/247.49 (assume @p322 (forall @t446 (=> @t433 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t398 @t445) @t285)))) % 247.16/247.49 (assume @p323 (forall @t449 (=> @t448 @t447))) % 247.16/247.49 (assume @p324 (forall @t449 (=> @t450 @t447))) % 247.16/247.49 (assume @p325 (forall @t205 (=> @t453 (= (= @t44 @t452) @t451)))) % 247.16/247.49 (assume @p326 (forall @t449 (=> @t448 @t454))) % 247.16/247.49 (assume @p327 (forall @t449 (=> @t450 @t454))) % 247.16/247.49 (assume @p328 (forall @t434 (=> @t433 (=> @t455 @t140)))) % 247.16/247.49 (assume @p329 (forall @t436 (=> @t433 (=> @t456 @t140)))) % 247.16/247.49 (assume @p330 (forall @t442 (=> @t458 (=> @t140 (=> @t457 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t404 @t438)))))) % 247.16/247.49 (assume @p331 (forall @t159 (=> @t458 (=> @t140 @t455)))) % 247.16/247.49 (assume @p332 (forall @t159 (=> @t458 (=> @t140 @t456)))) % 247.16/247.49 (assume @p333 (forall @t444 (=> @t433 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t402 @t443) @t459)))) % 247.16/247.49 (assume @p334 (forall @t446 (=> @t433 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t398 @t445) @t459)))) % 247.16/247.49 (assume @p335 (forall @t258 (= @t461 @t460))) % 247.16/247.49 (assume @p336 (forall @t258 (= @t461 @t462))) % 247.16/247.49 (assume @p337 (forall @t258 (= @t460 @t462))) % 247.16/247.49 (assume @p338 (forall @t143 (=> @t465 (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t394 @t44)))))) % 247.16/247.49 (assume @p339 (forall (@list @t138 @t137 @t155 @t9) (=> @t465 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t155) (=> @t145 @t466))))) % 247.16/247.49 (assume @p340 (forall @t159 (=> @t465 (=> @t467 (=> @t162 @t466))))) % 247.16/247.49 (assume @p341 (forall @t117 (=> @t465 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t26) (= (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t24 @t26) @t44) (and @t45 (= @t26 @t44)))))))) % 247.16/247.49 (assume @p342 (forall @t143 (=> @t465 (=> @t467 (=> @t468 (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t394)))))) % 247.16/247.49 (assume @p343 (forall @t205 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t452 @t44) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t88 @t44))))) % 247.16/247.49 (assume @p344 (forall @t205 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t452) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t44 @t88))))) % 247.16/247.49 (assume @p345 (forall @t442 (=> @t441 (=> @t139 (=> @t457 @t439))))) % 247.16/247.49 (assume @p346 (forall @t442 (=> @t441 (=> @t140 @t440)))) % 247.16/247.49 (assume @p347 (forall @t143 (=> @t465 (=> @t471 @t470)))) % 247.16/247.49 (assume @p348 (forall @t143 (=> @t465 (=> @t474 @t473)))) % 247.16/247.49 (assume @p349 (forall @t205 (=> @t453 @t476))) % 247.16/247.49 (assume @p350 (forall @t205 (=> @t453 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t44 @t452) (tptp.c_Orderings_Oord__class_Oless @t9 @t44 @t88))))) % 247.16/247.49 (assume @p351 (forall @t238 (= (= @t428 @t319) @t477))) % 247.16/247.49 (assume @p352 (forall @t238 (= (= @t319 @t428) @t477))) % 247.16/247.49 (assume @p353 (forall @t238 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t428) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t231) @t274)))) % 247.16/247.49 (assume @p354 (forall @t478 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t260 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t260 @t242))))) % 247.16/247.49 (assume @p355 (forall @t478 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t260 (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t242 @t260))))) % 247.16/247.49 (assume @p356 (forall @t238 (= @t233 (exists @t411 (= @t209 (tptp.hAPP tptp.c_Nat_OSuc @t409)))))) % 247.16/247.49 (assume @p357 (forall @t143 (=> @t465 (=> @t474 (=> @t468 @t472))))) % 247.16/247.49 (assume @p358 (forall @t143 (=> @t465 (=> @t467 @t473)))) % 247.16/247.49 (assume @p359 (forall @t159 (=> @t465 (=> @t474 (=> @t162 @t479))))) % 247.16/247.49 (assume @p360 (forall @t159 (=> @t465 (=> @t467 @t480)))) % 247.16/247.49 (assume @p361 (forall @t143 (=> @t465 (=> @t471 (=> @t463 @t469))))) % 247.16/247.49 (assume @p362 (forall @t143 (=> @t465 (=> @t464 @t470)))) % 247.16/247.49 (assume @p363 (forall @t195 (=> @t50 (=> @t79 @t380)))) % 247.16/247.49 (assume @p364 (forall @t159 (=> @t481 (=> @t474 @t480)))) % 247.16/247.49 (assume @p365 (forall @t205 (=> @t482 @t476))) % 247.16/247.49 (assume @p366 (forall @t205 (=> @t453 @t483))) % 247.16/247.49 (assume @p367 (forall @t127 (=> @t482 @t147))) % 247.16/247.49 (assume @p368 (forall @t449 (=> @t484 @t454))) % 247.16/247.49 (assume @p369 (forall @t449 (=> @t484 @t447))) % 247.16/247.49 (assume @p370 (forall @t442 (=> @t484 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t394 @t485) (tptp.c_Groups_Oplus__class_Oplus @t9 @t404 @t438))))) % 247.16/247.49 (assume @p371 (forall @t159 (=> @t484 (= @t395 (tptp.c_Groups_Oplus__class_Oplus @t9 @t404 @t137))))) % 247.16/247.49 (assume @p372 (forall @t159 (=> @t484 @t396))) % 247.16/247.49 (assume @p373 (forall @t487 (=> @t484 (= @t486 (tptp.c_Groups_Oplus__class_Oplus @t9 @t404 @t437))))) % 247.16/247.49 (assume @p374 (forall @t487 (=> @t484 (= @t486 (tptp.c_Groups_Oplus__class_Oplus @t9 @t155 (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t437)))))) % 247.16/247.49 (assume @p375 (forall (@list @t155 @t138 @t9) (=> @t484 (= @t404 @t406)))) % 247.16/247.49 (assume @p376 (forall @t298 (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t9) (= (= @t92 @t403) @t451)))) % 247.16/247.49 (assume @p377 (forall @t490 (= (tptp.c_Nat_Onat_Onat__size @t489) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t488) @t319)))) % 247.16/247.49 (assume @p378 (forall @t495 (=> @t448 (and (=> @t232 (= @t494 @t44)) (=> @t348 (= @t494 (tptp.c_Groups_Oplus__class_Oplus @t9 @t492 (tptp.hAPP @t2 @t209)))))))) % 247.16/247.49 (assume @p379 (= (tptp.c_Nat_Onat_Onat__size @t67) @t67)) % 247.16/247.49 (assume @p380 (forall (@list @t2 @t496 @t209 @t231 @t9) (=> @t448 (=> @t278 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t496) (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t492 (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t209 @t496))) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t231 @t496)))))))) % 247.16/247.49 (assume @p381 (forall (@list @t304 @t2 @t9) (=> @t448 (=> (= @t497 @t44) (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t319 @t304)) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t67 @t304))))))) % 247.16/247.49 (assume @p382 (forall @t499 (=> @t448 (=> @t233 (= @t492 (tptp.c_Groups_Oplus__class_Oplus @t9 @t498 (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t340 @t209)))))))) % 247.16/247.49 (assume @p383 (forall (@list @t1 @t8 @t9 @t11) (=> @t502 (=> @t69 (= @t501 @t500))))) % 247.16/247.49 (assume @p384 (forall (@list @t2 @t8 @t9 @t11) (=> @t502 (=> @t69 (= @t503 @t500))))) % 247.16/247.49 (assume @p385 (forall (@list @t2 @t47 @t9) (=> @t49 (= (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 tptp.tc_Nat_Onat @t2 @t47) @t67) (forall @t7 (=> (tptp.c_member @t9 @t3 @t47) (= @t5 @t67))))))) % 247.16/247.49 (assume @p386 (forall @t190 (=> @t50 (= (= @t505 @t319) (exists @t7 (and @t43 (= @t5 @t319) @t504)))))) % 247.16/247.49 (assume @p387 (forall @t107 (=> @t448 (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t11 @t9 @t2 @t269) @t44)))) % 247.16/247.49 (assume @p388 (forall (@list @t1 @t11 @t9) (=> @t448 (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t11 @t9 @t1 @t269) @t44)))) % 247.16/247.49 (assume @p389 (forall @t490 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t489) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t488) @t319)))) % 247.16/247.49 (assume @p390 (forall (@list @t1 @t2 @t8 @t9 @t11) (=> (and @t502 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t11)) (=> @t50 (=> @t185 (=> (forall @t7 (=> @t43 (tptp.c_Orderings_Oord__class_Oless @t11 @t5 @t4))) (tptp.c_Orderings_Oord__class_Oless @t11 @t503 @t501))))))) % 247.16/247.49 (assume @p391 (forall @t197 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t196) @t196))) % 247.16/247.49 (assume @p392 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t67) @t67)) % 247.16/247.49 (assume @p393 (forall (@list @t209 @t8 @t2 @t9) (=> (= @t505 @t336) (exists @t7 (and @t43 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t5)))))) % 247.16/247.49 (assume @p394 (forall (@list @t48 @t1 @t17 @t8 @t2 @t11 @t9 @t506) (=> (tptp.class_Groups_Ocomm__monoid__add @t506) (=> @t15 (=> (= @t17 @t12) (=> (forall (@list @t507) (=> (tptp.c_member @t9 @t507 @t8) (= (tptp.hAPP @t1 @t507) (tptp.hAPP @t48 (tptp.hAPP @t2 @t507))))) (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t11 @t506 @t48 @t17) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t506 @t1 @t8)))))))) % 247.16/247.49 (assume @p395 (forall (@list @t1 @t2 @t282 @t92 @t200 @t88 @t9 @t11) (=> (and @t502 @t158) (=> @t290 (=> @t283 (=> (forall @t7 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t200 @t3) (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t3 @t282) @t6))) (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t11 @t2 @t287) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t11 @t1 @t286)))))))) % 247.16/247.49 (assume @p396 (forall @t495 (=> @t448 (and (=> @t512 (= @t511 @t44)) (=> (not @t512) (= @t511 (tptp.c_Groups_Oplus__class_Oplus @t9 @t509 (tptp.hAPP @t2 @t336)))))))) % 247.16/247.49 (assume @p397 (forall @t219 (tptp.c_Finite__Set_Ofinite tptp.tc_Nat_Onat @t513))) % 247.16/247.49 (assume @p398 (forall @t289 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t516 @t515) (or @t514 @t303))))) % 247.16/247.49 (assume @p399 (forall @t298 (=> @t129 (=> (tptp.c_Orderings_Oord__class_Oless @t9 @t92 @t88) @t517)))) % 247.16/247.49 (assume @p400 (forall @t300 (=> @t129 (= @t517 @t514)))) % 247.16/247.49 (assume @p401 (forall @t300 (=> @t129 (= (= @t84 @t516) @t514)))) % 247.16/247.49 (assume @p402 (forall @t219 (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t218 (tptp.hAPP tptp.c_Nat_OSuc @t217)) @t513))) % 247.16/247.49 (assume @p403 (forall @t215 (= (exists @t214 (and @t519 @t212)) (exists @t7 (and @t518 @t208))))) % 247.16/247.49 (assume @p404 (forall @t215 (= (forall @t214 (=> @t519 @t212)) (forall @t7 (=> @t518 @t208))))) % 247.16/247.49 (assume @p405 (forall @t335 (= (tptp.c_Set_Oimage tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Nat_OSuc (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t305 @t332)) (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t334 @t333)))) % 247.16/247.49 (assume @p406 (forall (@list @t304 @t2) (=> (= @t497 @t67) (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t319 @t304)) (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t2 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t67 @t304)))))) % 247.16/247.49 (assume @p407 (forall @t289 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t20 @t516 @t515) (and (or @t514 (and @t302 @t301 (or (tptp.c_Orderings_Oord__class_Oless @t9 @t200 @t88) (tptp.c_Orderings_Oord__class_Oless @t9 @t92 @t282)))) (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t200 @t282)))))) % 247.16/247.49 (assume @p408 (forall @t499 (=> @t448 (=> @t278 (= @t509 (tptp.c_Groups_Oplus__class_Oplus @t9 @t498 (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t340 @t209)))))))) % 247.16/247.49 (assume @p409 (forall (@list @t496 @t2 @t209 @t231 @t9) (=> @t448 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t231 @t522) (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t231 @t520)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t509 (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum tptp.tc_Nat_Onat @t9 @t2 (tptp.c_SetInterval_Oord__class_OatLeastAtMost tptp.tc_Nat_Onat @t522 @t520)))))))) % 247.16/247.49 (assume @p410 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t67)) % 247.16/247.49 (assume @p411 (= @t525 @t521)) % 247.16/247.49 (assume @p412 (forall @t449 (=> @t481 (tptp.c_Orderings_Oord__class_Oless @t9 @t138 (tptp.c_Groups_Oplus__class_Oplus @t9 @t138 @t526))))) % 247.16/247.49 (assume @p413 (forall @t55 (=> @t481 (not (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t526 @t44))))) % 247.16/247.49 (assume @p414 @t528) % 247.16/247.49 (assume @p415 (forall @t55 (=> @t481 (not (tptp.c_Orderings_Oord__class_Oless @t9 @t526 @t44))))) % 247.16/247.49 (assume @p416 (forall @t55 (=> @t481 (tptp.c_Orderings_Oord__class_Oless @t9 @t44 @t526)))) % 247.16/247.49 (assume @p417 @t532) % 247.16/247.49 (assume @p418 @t534) % 247.16/247.49 (assume @p419 (= @t521 @t319)) % 247.16/247.49 (assume @p420 @t535) % 247.16/247.49 (assume @p421 (forall @t197 (= @t326 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t196 @t521)))) % 247.16/247.49 (assume @p422 (forall @t25 (=> (tptp.class_Groups_Oone @t9) (= (= @t526 @t24) (= @t24 @t526))))) % 247.16/247.49 (assume @p423 @t537) % 247.16/247.49 (assume @p424 (forall @t190 (=> @t50 (= (= @t505 @t521) (exists @t7 (and @t43 (= @t5 @t521) @t504)))))) % 247.16/247.49 (assume @p425 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t67)) % 247.16/247.49 (assume @p426 (forall @t205 (=> @t482 (=> @t540 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t538 @t44) @t475))))) % 247.16/247.49 (assume @p427 (forall (@list @t209 @t150) (=> (not (tptp.hBOOL (tptp.hAPP @t150 @t67))) (=> (tptp.hBOOL @t249) (exists @t411 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t408 @t209) (forall (@list @t541) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t541 @t408) (not (tptp.hBOOL (tptp.hAPP @t150 @t541))))) (tptp.hBOOL (tptp.hAPP @t150 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t408 @t521))))))))) % 247.16/247.49 (assume @p428 (forall @t55 (=> @t542 (tptp.c_member @t9 @t44 @t539)))) % 247.16/247.49 (assume @p429 (forall @t300 (=> @t542 (=> @t540 (=> (tptp.c_member @t9 @t92 @t539) (tptp.c_member @t9 @t399 @t539)))))) % 247.16/247.49 (assume @p430 (forall @t55 (=> @t542 (tptp.c_member @t9 @t526 @t539)))) % 247.16/247.49 (assume @p431 (forall @t205 (=> @t543 (=> @t540 @t483)))) % 247.16/247.49 (assume @p432 (forall @t205 (=> @t543 (=> @t540 (not (= @t538 @t44)))))) % 247.16/247.49 (assume @p433 @t548) % 247.16/247.49 (assume @p434 (forall @t552 (=> @t50 (=> @t551 (= @t550 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 @t10)))))) % 247.16/247.49 (assume @p435 (forall @t554 (=> @t553 (=> (not @t230) @t89)))) % 247.16/247.49 (assume @p436 (forall @t558 (=> (=> (not @t557) @t230) @t556))) % 247.16/247.49 (assume @p437 (forall (@list @t88 @t8 @t9) (=> @t50 @t560))) % 247.16/247.49 (assume @p438 (forall @t325 (=> @t323 (=> @t70 (= (tptp.hAPP @t47 (tptp.c_Set_Oinsert @t11 @t24 @t8)) @t324))))) % 247.16/247.49 (assume @p439 (forall (@list @t88 @t561 @t221 @t9) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t221 @t561) (tptp.c_Orderings_Oord__class_Oless__eq @t20 (tptp.c_Set_Oinsert @t9 @t88 @t221) (tptp.c_Set_Oinsert @t9 @t88 @t561))))) % 247.16/247.49 (assume @p440 (forall (@list @t92 @t17 @t8 @t9) (=> @t86 (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t555)))) % 247.16/247.49 (assume @p441 (forall (@list @t88 @t17 @t9) (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t17 @t562))) % 247.16/247.49 (assume @p442 (forall @t298 (= @t565 @t563))) % 247.16/247.49 (assume @p443 (forall @t298 (=> @t565 @t563))) % 247.16/247.49 (assume @p444 (forall @t266 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t549 @t17) (and @t229 @t86)))) % 247.16/247.49 (assume @p445 (forall @t266 (=> @t551 (= (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t566) @t86)))) % 247.16/247.49 (assume @p446 (forall @t267 (=> @t176 (= (tptp.c_Set_Oinsert @t11 @t28 @t12) @t12)))) % 247.16/247.49 (assume @p447 (forall @t552 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t20 @t8 @t567) (or @t85 (= @t8 @t567))))) % 247.16/247.49 (assume @p448 (forall (@list @t17 @t88 @t2 @t9 @t11) (= (tptp.c_Set_Oimage @t11 @t9 @t2 (tptp.c_Set_Oinsert @t11 @t88 @t17)) (tptp.c_Set_Oinsert @t9 @t90 (tptp.c_Set_Oimage @t11 @t9 @t2 @t17))))) % 247.16/247.49 (assume @p449 (forall @t228 (= (tptp.c_Set_Oinsert @t9 @t24 @t549) @t549))) % 247.16/247.49 (assume @p450 (forall (@list @t8 @t26 @t24 @t9) (= (tptp.c_Set_Oinsert @t9 @t24 @t568) (tptp.c_Set_Oinsert @t9 @t26 @t549)))) % 247.16/247.49 (assume @p451 @t573) % 247.16/247.49 (assume @p452 (forall @t574 (= @t560 @t50))) % 247.16/247.49 (assume @p453 (forall (@list @t17 @t88 @t9) (tptp.c_member @t9 @t88 @t562))) % 247.16/247.49 (assume @p454 (forall @t554 (= @t553 (or @t230 @t89)))) % 247.16/247.49 (assume @p455 (forall @t266 (=> @t551 (=> (not @t229) (= (= @t549 @t566) @t18))))) % 247.16/247.49 (assume @p456 (forall @t558 (=> @t557 @t556))) % 247.16/247.49 (assume @p457 (forall @t574 (=> @t89 (= @t559 @t8)))) % 247.16/247.49 (assume @p458 (forall @t300 (=> (= @t564 @t575) @t230))) % 247.16/247.49 (assume @p459 (forall @t289 (= (= (tptp.c_Set_Oinsert @t9 @t88 @t575) (tptp.c_Set_Oinsert @t9 @t200 (tptp.c_Set_Oinsert @t9 @t282 @t84))) (or @t291 (and (= @t88 @t282) @t397))))) % 247.16/247.49 (assume @p460 (forall @t574 (not (= @t559 @t84)))) % 247.16/247.49 (assume @p461 (forall @t574 (not (= @t84 @t559)))) % 247.16/247.49 (assume @p462 (forall @t300 (=> @t129 (=> @t230 (= @t516 @t564))))) % 247.16/247.49 (assume @p463 (forall @t401 (=> @t129 (= (= @t516 (tptp.c_Set_Oinsert @t9 @t200 @t84)) (and @t230 @t397))))) % 247.16/247.49 (assume @p464 (forall @t205 (=> @t129 (= (tptp.c_SetInterval_Oord__class_OatLeastAtMost @t9 @t88 @t88) @t564)))) % 247.16/247.49 (assume @p465 (forall @t552 (=> @t50 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t10 @t550)))) % 247.16/247.49 (assume @p466 (forall @t238 (=> @t339 (= @t510 (tptp.c_Set_Oinsert tptp.tc_Nat_Onat @t336 @t508))))) % 247.16/247.49 (assume @p467 (forall @t294 (= (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t231 @t340) (tptp.c_Set_Oinsert tptp.tc_Nat_Onat @t231 @t293)))) % 247.16/247.49 (assume @p468 (forall @t367 (=> @t322 (=> @t50 @t576)))) % 247.16/247.49 (assume @p469 (forall (@list @t1 @t24 @t8 @t9 @t11) (=> @t502 (=> @t50 (=> @t551 (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t11 @t1 @t549) (tptp.c_Groups_Oplus__class_Oplus @t11 @t153 @t501))))))) % 247.16/247.49 (assume @p470 (forall (@list @t2 @t88 @t47 @t9 @t11) (=> @t502 (=> @t49 (=> (not (tptp.c_member @t9 @t88 @t47)) (= (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t11 @t2 (tptp.c_Set_Oinsert @t9 @t88 @t47)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t90 (tptp.c_Big__Operators_Ocomm__monoid__add__class_Osetsum @t9 @t11 @t2 @t47)))))))) % 247.16/247.49 (assume @p471 (forall @t552 (=> @t50 @t577))) % 247.16/247.49 (assume @p472 (forall @t552 (=> @t50 (and (=> @t176 (= @t550 @t10)) @t577)))) % 247.16/247.49 (assume @p473 (forall @t238 (and (=> @t278 (= @t493 (tptp.c_Set_Oinsert tptp.tc_Nat_Onat @t209 @t491))) (=> @t338 (= @t493 @t293))))) % 247.16/247.49 (assume @p474 (forall @t25 (= (tptp.c_Set_Othe__elem @t9 @t567) @t24))) % 247.16/247.49 (assume @p475 @t591) % 247.16/247.49 (assume @p476 (forall @t367 (=> (tptp.c_Finite__Set_Ofolding__one @t9 @t2 @t47) (=> @t50 (=> @t551 @t576))))) % 247.16/247.49 (assume @p477 (forall @t552 (=> @t50 (=> @t176 (= @t10 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 (tptp.c_Finite__Set_Ocard @t9 (tptp.c_Groups_Ominus__class_Ominus @t20 @t8 @t567)))))))) % 247.16/247.49 (assume @p478 (forall @t595 (=> (tptp.class_Orderings_Opreorder @t592) (tptp.class_Orderings_Opreorder @t594)))) % 247.16/247.49 (assume @p479 (forall @t598 (=> @t597 (tptp.class_Finite__Set_Ofinite @t594)))) % 247.16/247.49 (assume @p480 (forall @t595 (=> (tptp.class_Orderings_Oorder @t592) (tptp.class_Orderings_Oorder @t594)))) % 247.16/247.49 (assume @p481 (forall @t595 (=> (tptp.class_Orderings_Otop @t592) (tptp.class_Orderings_Otop @t594)))) % 247.16/247.49 (assume @p482 (forall @t595 (=> (tptp.class_Orderings_Oord @t592) (tptp.class_Orderings_Oord @t594)))) % 247.16/247.49 (assume @p483 (forall @t595 (=> (tptp.class_Orderings_Obot @t592) (tptp.class_Orderings_Obot @t594)))) % 247.16/247.49 (assume @p484 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p485 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p486 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p487 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p488 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p489 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p490 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p491 @t599) % 247.16/247.49 (assume @p492 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p493 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p494 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p495 @t600) % 247.16/247.49 (assume @p496 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p497 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p498 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p499 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p500 @t601) % 247.16/247.49 (assume @p501 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p502 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p503 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 247.16/247.49 (assume @p504 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 247.16/247.49 (assume @p505 (tptp.class_Finite__Set_Ofinite tptp.tc_HOL_Obool)) % 247.16/247.49 (assume @p506 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 247.16/247.49 (assume @p507 @t602) % 247.16/247.49 (assume @p508 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 247.16/247.49 (assume @p509 @t603) % 247.16/247.49 (assume @p510 (forall @t598 (=> @t597 (tptp.class_Finite__Set_Ofinite (tptp.tc_sum @t593 @t592))))) % 247.16/247.49 (assume @p511 (forall (@list @t592) (=> @t596 (tptp.class_Finite__Set_Ofinite (tptp.tc_Option_Ooption @t592))))) % 247.16/247.49 (assume @p512 (forall @t598 (=> @t597 (tptp.class_Finite__Set_Ofinite (tptp.tc_prod @t593 @t592))))) % 247.16/247.49 (assume @p513 @t604) % 247.16/247.49 (assume @p514 (forall @t606 (or (not @t605) @t27))) % 247.16/247.49 (assume @p515 (forall @t606 (or @t120 @t605))) % 247.16/247.49 (assume @p516 (not (tptp.hBOOL tptp.c_fFalse))) % 247.16/247.49 (assume @p517 (tptp.hBOOL tptp.c_fTrue)) % 247.16/247.49 (assume @p518 (forall (@list @t607) (=> (tptp.c_Fun_Oinj__on tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Nat_Onat @t607 @t46) (=> (= (tptp.c_Set_Oimage tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Nat_Onat @t607 @t46) (tptp.c_SetInterval_Oord__class_OatLeastLessThan tptp.tc_Nat_Onat @t67 (tptp.c_Finite__Set_Ocard tptp.tc_Arrow__Order__Mirabelle_Oindi @t46))) tptp.v_thesis____)))) % 247.16/247.49 (assume @p519 (not tptp.v_thesis____)) % 247.16/247.49 (assume @p520 true) % 247.16/247.49 (step @p521 :rule symm :premises (@p411)) % 247.16/247.49 (step @p522 :rule symm :premises (@p419)) % 247.16/247.49 (step @p523 :rule instantiate :premises (@p420) :args ((@list @t67))) % 247.16/247.49 (step @p524 :rule refl :args (@t390)) % 247.16/247.49 (step @p525 :rule eq-symm :args (@t231 @t209)) % 247.16/247.49 (step @p526 :rule cong :premises (@p525 @p524) :args ((= @t235 @t390))) % 247.16/247.49 (step @p527 :rule eq-symm :args (@t390 @t235)) % 247.16/247.49 (step @p528 :rule trans :premises (@p527 @p526)) % 247.16/247.49 (step @p529 :rule cong :premises (@p528) :args (@t392)) % 247.16/247.49 (step @p530 :rule eq_resolve :premises (@p283 @p529)) % 247.16/247.49 (step @p531 :rule refl :args (@t610)) % 247.16/247.49 (step @p532 :rule eq-symm :args (@t521 @t67)) % 247.16/247.49 (step @p533 :rule cong :premises (@p532 @p531) :args (@t611)) % 247.16/247.49 (step @p534 :rule refl :args (@t612)) % 247.16/247.49 (step @p535 :rule cong :premises (@p534 @p533) :args ((=> @t612 @t611))) % 247.16/247.49 (assume-push @p1299 @t612) % 247.16/247.49 (step @p537 :rule instantiate :premises (@p530) :args ((@list @t521 @t67 @t521))) % 247.16/247.49 (step-pop @p1300 :rule scope :premises (@p537)) % 247.16/247.49 (step @p538 :rule process_scope :premises (@p1300) :args (@t611)) % 247.16/247.49 (step @p540 :rule eq_resolve :premises (@p538 @p535)) % 247.16/247.49 (step @p541 :rule implies_elim :premises (@p540)) % 247.16/247.49 (step @p542 :rule chain_m_resolution :premises (@p541 @p530) :args (@t614 @t615 (@list @t612))) % 247.16/247.49 (step @p543 :rule bool-impl-elim :args (@t530 @t533)) % 247.16/247.49 (step @p544 :rule cong :premises (@p543) :args (@t534)) % 247.16/247.49 (step @p545 :rule eq-symm :args (@t526 @t44)) % 247.16/247.49 (step @p546 :rule cong :premises (@p545) :args (@t529)) % 247.16/247.49 (step @p547 :rule refl :args (@t530)) % 247.16/247.49 (step @p548 :rule cong :premises (@p547 @p546) :args (@t531)) % 247.16/247.49 (step @p549 :rule cong :premises (@p548) :args (@t532)) % 247.16/247.49 (step @p550 :rule trans :premises (@p549 @p544)) % 247.16/247.49 (step @p551 :rule eq_resolve :premises (@p417 @p550)) % 247.16/247.49 (step @p552 :rule instantiate :premises (@p551) :args (@t616)) % 247.16/247.49 (step @p553 :rule cnf_or_pos :args (@t619)) % 247.16/247.49 (step @p554 :rule reordering :premises (@p553) :args ((or @t617 @t618 (not @t619)))) % 247.16/247.49 (step @p555 :rule chain_m_resolution :premises (@p554 @p495 @p552) :args (@t617 @t620 (@list @t600 @t619))) % 247.16/247.49 (step @p556 :rule cnf_equiv_pos2 :args (@t614)) % 247.16/247.49 (step @p557 :rule reordering :premises (@p556) :args ((or @t613 @t621 (not @t614)))) % 247.16/247.49 (step @p558 :rule chain_m_resolution :premises (@p557 @p555 @p542) :args (@t621 @t622 (@list @t613 @t614))) % 247.16/247.49 (step @p559 :rule instantiate :premises (@p335) :args (@t623)) % 247.16/247.49 (step @p560 :rule eq-symm :args (@t624 @t608)) % 247.16/247.49 (step @p561 :rule refl :args (@t535)) % 247.16/247.49 (step @p562 :rule cong :premises (@p561 @p560) :args ((=> @t535 @t625))) % 247.16/247.49 (assume-push @p1301 @t535) % 247.16/247.49 (step @p564 :rule instantiate :premises (@p420) :args (@t626)) % 247.16/247.49 (step-pop @p1302 :rule scope :premises (@p564)) % 247.16/247.49 (step @p565 :rule process_scope :premises (@p1302) :args (@t625)) % 247.16/247.49 (step @p567 :rule eq_resolve :premises (@p565 @p562)) % 247.16/247.49 (step @p568 :rule implies_elim :premises (@p567)) % 247.16/247.49 (step @p569 :rule chain_m_resolution :premises (@p568 @p420) :args (@t627 @t615 (@list @t535))) % 247.16/247.49 (step @p570 :rule exists-elim :args ((= @t412 (not (forall @t411 (not @t410)))))) % 247.16/247.49 (step @p571 :rule refl :args (@t278)) % 247.16/247.49 (step @p572 :rule cong :premises (@p571 @p570) :args (@t413)) % 247.16/247.49 (step @p573 :rule cong :premises (@p572) :args (@t414)) % 247.16/247.49 (step @p574 :rule eq_resolve :premises (@p294 @p573)) % 247.16/247.49 (step @p575 :rule instantiate :premises (@p574) :args (@t623)) % 247.16/247.49 (step @p576 :rule bool-impl-elim :args (@t481 @t527)) % 247.16/247.49 (step @p577 :rule cong :premises (@p576) :args (@t528)) % 247.16/247.49 (step @p578 :rule eq_resolve :premises (@p414 @p577)) % 247.16/247.49 (step @p579 :rule instantiate :premises (@p578) :args (@t616)) % 247.16/247.49 (step @p580 :rule cnf_or_pos :args (@t630)) % 247.16/247.49 (step @p581 :rule reordering :premises (@p580) :args ((or @t629 @t628 (not @t630)))) % 247.16/247.49 (step @p582 :rule chain_m_resolution :premises (@p581 @p491 @p579) :args (@t628 @t620 (@list @t599 @t630))) % 247.16/247.49 (step @p583 :rule cnf_equiv_pos1 :args (@t634)) % 247.16/247.49 (step @p584 :rule reordering :premises (@p583) :args ((or (not @t628) @t633 (not @t634)))) % 247.16/247.49 (step @p585 :rule chain_m_resolution :premises (@p584 @p582 @p575) :args (@t633 @t620 (@list @t628 @t634))) % 247.16/247.49 (step @p586 :rule refl :args (@t637)) % 247.16/247.49 (step @p587 :rule bool-double-not-elim :args (@t632)) % 247.16/247.49 (step @p588 :rule nary_cong :premises (@p587 @p586) :args ((or (not @t633) @t637))) % 247.16/247.49 (step @p589 :rule bool-double-not-elim :args (@t637)) % 247.16/247.49 (step @p590 :rule refl :args (@t633)) % 247.16/247.49 (step @p591 :rule cong :premises (@p590 @p589) :args ((=> @t633 @t639))) % 247.16/247.49 (assume-push @p1303 @t633) % 247.16/247.49 (step @p593 :rule skolemize :premises (@p585)) % 247.16/247.49 (step-pop @p1304 :rule scope :premises (@p593)) % 247.16/247.49 (step @p594 :rule process_scope :premises (@p1304) :args (@t639)) % 247.16/247.49 (step @p596 :rule eq_resolve :premises (@p594 @p591)) % 247.16/247.49 (step @p597 :rule implies_elim :premises (@p596)) % 247.16/247.49 (step @p598 :rule eq_resolve :premises (@p597 @p588)) % 247.16/247.49 (step @p599 :rule chain_m_resolution :premises (@p598 @p585) :args (@t637 @t640 (@list @t632))) % 247.16/247.49 (step @p600 :rule eq-symm :args (@t429 @t196)) % 247.16/247.49 (step @p601 :rule cong :premises (@p600) :args (@t430)) % 247.16/247.49 (step @p602 :rule eq_resolve :premises (@p315 @p601)) % 247.16/247.49 (step @p603 :rule instantiate :premises (@p602) :args ((@list @t635))) % 247.16/247.49 (step @p604 :rule instantiate :premises (@p574) :args (@t641)) % 247.16/247.49 (step @p605 :rule refl :args (@t233)) % 247.16/247.49 (step @p606 :rule nary_cong :premises (@p605 @p525) :args (@t279)) % 247.16/247.49 (step @p607 :rule cong :premises (@p571 @p606) :args (@t280)) % 247.16/247.49 (step @p608 :rule cong :premises (@p607) :args (@t281)) % 247.16/247.49 (step @p609 :rule eq_resolve :premises (@p190 @p608)) % 247.16/247.49 (step @p610 :rule refl :args (@t642)) % 247.16/247.49 (step @p611 :rule eq-symm :args (@t608 @t67)) % 247.16/247.49 (step @p612 :rule refl :args (@t643)) % 247.16/247.49 (step @p613 :rule nary_cong :premises (@p612 @p611) :args (@t645)) % 247.16/247.49 (step @p614 :rule cong :premises (@p613 @p610) :args ((= @t645 @t642))) % 247.16/247.49 (step @p615 :rule eq-symm :args (@t642 @t645)) % 247.16/247.49 (step @p616 :rule trans :premises (@p615 @p614)) % 247.16/247.49 (step @p617 :rule refl :args (@t646)) % 247.16/247.49 (step @p618 :rule cong :premises (@p617 @p616) :args ((=> @t646 @t647))) % 247.16/247.49 (assume-push @p1305 @t646) % 247.16/247.49 (step @p620 :rule instantiate :premises (@p609) :args (@t641)) % 247.16/247.49 (step-pop @p1306 :rule scope :premises (@p620)) % 247.16/247.49 (step @p621 :rule process_scope :premises (@p1306) :args (@t647)) % 247.16/247.49 (step @p623 :rule eq_resolve :premises (@p621 @p618)) % 247.16/247.49 (step @p624 :rule implies_elim :premises (@p623)) % 247.16/247.49 (step @p625 :rule chain_m_resolution :premises (@p624 @p609) :args (@t650 @t615 (@list @t646))) % 247.16/247.49 (step @p626 :rule bool-impl-elim :args (@t481 @t536)) % 247.16/247.49 (step @p627 :rule cong :premises (@p626) :args (@t537)) % 247.16/247.49 (step @p628 :rule eq_resolve :premises (@p423 @p627)) % 247.16/247.49 (step @p629 :rule instantiate :premises (@p628) :args (@t616)) % 247.16/247.49 (step @p630 :rule cnf_or_pos :args (@t651)) % 247.16/247.49 (step @p631 :rule reordering :premises (@p630) :args ((or @t629 @t643 (not @t651)))) % 247.16/247.49 (step @p632 :rule chain_m_resolution :premises (@p631 @p491 @p629) :args (@t643 @t620 (@list @t599 @t651))) % 247.16/247.49 (step @p633 :rule cnf_or_neg :args (@t649 0)) % 247.16/247.49 (step @p634 :rule reordering :premises (@p633) :args ((or @t652 @t649))) % 247.16/247.49 (step @p635 :rule chain_m_resolution :premises (@p634 @p632) :args (@t649 @t615 @t653)) % 247.16/247.49 (step @p636 :rule cnf_equiv_pos1 :args (@t650)) % 247.16/247.49 (step @p637 :rule reordering :premises (@p636) :args ((or @t642 (not @t649) (not @t650)))) % 247.16/247.49 (step @p638 :rule chain_m_resolution :premises (@p637 @p635 @p625) :args (@t642 @t620 (@list @t649 @t650))) % 247.16/247.49 (step @p639 :rule cnf_equiv_pos1 :args (@t656)) % 247.16/247.49 (step @p640 :rule reordering :premises (@p639) :args ((or (not @t642) @t655 (not @t656)))) % 247.16/247.49 (step @p641 :rule chain_m_resolution :premises (@p640 @p638 @p604) :args (@t655 @t620 (@list @t642 @t656))) % 247.16/247.49 (step @p642 :rule refl :args (@t658)) % 247.16/247.49 (step @p643 :rule bool-double-not-elim :args (@t654)) % 247.16/247.49 (step @p644 :rule nary_cong :premises (@p643 @p642) :args ((or (not @t655) @t658))) % 247.16/247.49 (step @p645 :rule bool-double-not-elim :args (@t658)) % 247.16/247.49 (step @p646 :rule refl :args (@t655)) % 247.16/247.49 (step @p647 :rule cong :premises (@p646 @p645) :args ((=> @t655 @t660))) % 247.16/247.49 (assume-push @p1307 @t655) % 247.16/247.49 (step @p649 :rule skolemize :premises (@p641)) % 247.16/247.49 (step-pop @p1308 :rule scope :premises (@p649)) % 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@p1087 :rule refl :args (@t835)) % 247.16/247.49 (step @p1088 :rule nary_cong :premises (@p1087 @p1086) :args ((or @t835 (not @t834)))) % 247.16/247.49 (step @p1089 :rule cnf_or_neg :args (@t835 0)) % 247.16/247.49 (step @p1090 :rule eq_resolve :premises (@p1089 @p1088)) % 247.16/247.49 (step @p1091 :rule reordering :premises (@p1090) :args ((or @t832 @t835))) % 247.16/247.49 (step @p1092 :rule chain_m_resolution :premises (@p1091 @p1085) :args (@t832 @t640 @t836)) % 247.16/247.49 (step @p1093 :rule symm :premises (@p1092)) % 247.16/247.49 (step @p1094 :rule cong :premises (@p1093 @p992) :args (@t757)) % 247.16/247.49 (step @p1095 :rule trans :premises (@p1094 @p991 @p975)) % 247.16/247.49 (step @p1096 :rule cong :premises (@p1095) :args (@t758)) % 247.16/247.49 (step @p1097 :rule trans :premises (@p1096 @p967)) % 247.16/247.49 (step @p1098 :rule true_elim :premises (@p1097)) % 247.16/247.49 (step @p1099 :rule cnf_equiv_pos1 :args (@t763)) % 247.16/247.49 (step @p1100 :rule reordering 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(=> @t109 @t841)))) % 247.16/247.49 (step @p1111 :rule eq-symm :args (@t110 @t108)) % 247.16/247.49 (step @p1112 :rule refl :args (@t109)) % 247.16/247.49 (step @p1113 :rule cong :premises (@p1112 @p1111) :args (@t111)) % 247.16/247.49 (step @p1114 :rule cong :premises (@p1113) :args (@t112)) % 247.16/247.49 (step @p1115 :rule trans :premises (@p1114 @p1110)) % 247.16/247.49 (step @p1116 :rule eq_resolve :premises (@p43 @p1115)) % 247.16/247.49 (step @p1117 :rule eq-symm :args (@t842 @t837)) % 247.16/247.49 (step @p1118 :rule refl :args (@t843)) % 247.16/247.49 (step @p1119 :rule nary_cong :premises (@p1118 @p1117) :args (@t844)) % 247.16/247.49 (step @p1120 :rule refl :args (@t845)) % 247.16/247.49 (step @p1121 :rule cong :premises (@p1120 @p1119) :args ((=> @t845 @t844))) % 247.16/247.49 (assume-push @p1331 @t845) % 247.16/247.49 (step @p1123 :rule instantiate :premises (@p1116) :args ((@list @t754 tptp.tc_Product__Type_Ounit tptp.tc_HOL_Obool))) % 247.16/247.49 (step-pop @p1332 :rule scope :premises (@p1123)) % 247.16/247.49 (step @p1124 :rule process_scope :premises (@p1332) :args (@t844)) % 247.16/247.49 (step @p1126 :rule eq_resolve :premises (@p1124 @p1121)) % 247.16/247.49 (step @p1127 :rule implies_elim :premises (@p1126)) % 247.16/247.49 (step @p1128 :rule chain_m_resolution :premises (@p1127 @p1116) :args (@t847 @t615 (@list @t845))) % 247.16/247.49 (step @p1129 :rule cnf_or_pos :args (@t847)) % 247.16/247.49 (step @p1130 :rule reordering :premises (@p1129) :args ((or @t843 @t846 (not @t847)))) % 247.16/247.49 (step @p1131 :rule chain_m_resolution :premises (@p1130 @p509 @p1128) :args (@t846 @t620 (@list @t603 @t847))) % 247.16/247.49 (step @p1132 :rule symm :premises (@p1131)) % 247.16/247.49 (step @p1133 :rule instantiate :premises (@p1116) :args (@t791)) % 247.16/247.49 (step @p1134 :rule cnf_or_pos :args (@t849)) % 247.16/247.49 (step @p1135 :rule reordering :premises (@p1134) :args ((or @t843 @t848 (not @t849)))) % 247.16/247.49 (step @p1136 :rule chain_m_resolution :premises (@p1135 @p509 @p1133) :args (@t848 @t620 (@list @t603 @t849))) % 247.16/247.49 (step @p1137 :rule symm :premises (@p1136)) % 247.16/247.49 (step @p1138 :rule trans :premises (@p1137 @p1132)) % 247.16/247.49 (step @p1139 :rule cong :premises (@p1138) :args (@t748)) % 247.16/247.49 (step @p1140 :rule trans :premises (@p1139 @p1108)) % 247.16/247.49 (step @p1141 :rule false_elim :premises (@p1140)) % 247.16/247.49 (step @p1142 :rule cnf_or_pos :args (@t762)) % 247.16/247.49 (step @p1143 :rule reordering :premises (@p1142) :args ((or @t748 @t761 (not @t762)))) % 247.16/247.49 (step @p1144 :rule chain_m_resolution :premises (@p1143 @p1141 @p1101) :args (@t761 @t622 (@list @t748 @t762))) % 247.16/247.49 (step @p1145 :rule refl :args (@t851)) % 247.16/247.49 (step @p1146 :rule eq-symm :args (@t700 @t754)) % 247.16/247.49 (step @p1147 :rule nary_cong :premises (@p1146 @p1145) :args (@t852)) % 247.16/247.49 (step @p1148 :rule refl :args (@t854)) % 247.16/247.49 (step @p1149 :rule cong :premises (@p1148 @p1147) :args (@t855)) % 247.16/247.49 (step @p1150 :rule cong :premises (@p896 @p1149) :args ((=> @t760 @t855))) % 247.16/247.49 (assume-push @p1333 @t760) % 247.16/247.49 (step @p1152 :rule instantiate :premises (@p890) :args ((@list @t700 @t746 @t754 tptp.tc_Product__Type_Ounit))) % 247.16/247.49 (step-pop @p1334 :rule scope :premises (@p1152)) % 247.16/247.49 (step @p1153 :rule process_scope :premises (@p1334) :args (@t855)) % 247.16/247.49 (step @p1155 :rule eq_resolve :premises (@p1153 @p1150)) % 247.16/247.49 (step @p1156 :rule implies_elim :premises (@p1155)) % 247.16/247.49 (step @p1157 :rule chain_m_resolution :premises (@p1156 @p890) :args (@t858 @t615 @t764)) % 247.16/247.49 (step @p1158 :rule eq-symm :args (@t859 @t784)) % 247.16/247.49 (step @p1159 :rule nary_cong :premises (@p977 @p1158) :args (@t860)) % 247.16/247.49 (step @p1160 :rule cong :premises (@p979 @p1159) :args ((=> @t790 @t860))) % 247.16/247.49 (assume-push @p1335 @t790) % 247.16/247.49 (step @p1162 :rule instantiate :premises (@p970) :args (@t861)) % 247.16/247.49 (step-pop @p1336 :rule scope :premises (@p1162)) % 247.16/247.49 (step @p1163 :rule process_scope :premises (@p1336) :args (@t860)) % 247.16/247.49 (step @p1165 :rule eq_resolve :premises (@p1163 @p1160)) % 247.16/247.49 (step @p1166 :rule implies_elim :premises (@p1165)) % 247.16/247.49 (step @p1167 :rule chain_m_resolution :premises (@p1166 @p970) :args (@t863 @t615 @t794)) % 247.16/247.49 (step @p1168 :rule cnf_or_pos :args (@t863)) % 247.16/247.49 (step @p1169 :rule reordering :premises (@p1168) :args ((or @t786 @t862 (not @t863)))) % 247.16/247.49 (step @p1170 :rule chain_m_resolution :premises (@p1169 @p507 @p1167) :args (@t862 @t620 (@list @t602 @t863))) % 247.16/247.49 (step @p1171 :rule symm :premises (@p1170)) % 247.16/247.49 (step @p1172 :rule refl :args (@t700)) % 247.16/247.49 (step @p1173 :rule cong :premises (@p1093 @p1172) :args (@t853)) % 247.16/247.49 (step @p1174 :rule trans :premises (@p1173 @p1171 @p975)) % 247.16/247.49 (step @p1175 :rule cong :premises (@p1174) :args (@t854)) % 247.16/247.49 (step @p1176 :rule trans :premises (@p1175 @p967)) % 247.16/247.49 (step @p1177 :rule true_elim :premises (@p1176)) % 247.16/247.49 (step @p1178 :rule cnf_equiv_pos1 :args (@t858)) % 247.16/247.49 (step @p1179 :rule reordering :premises (@p1178) :args ((or @t857 (not @t854) (not @t858)))) % 247.16/247.49 (step @p1180 :rule chain_m_resolution :premises (@p1179 @p1177 @p1157) :args (@t857 @t620 (@list @t854 @t858))) % 247.16/247.49 (step @p1181 :rule instantiate :premises (@p1116) :args (@t861)) % 247.16/247.49 (step @p1182 :rule cnf_or_pos :args (@t865)) % 247.16/247.49 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t843 @t864 (not @t865)))) % 247.16/247.49 (step @p1184 :rule chain_m_resolution :premises (@p1183 @p509 @p1181) :args (@t864 @t620 (@list @t603 @t865))) % 247.16/247.49 (step @p1185 :rule symm :premises (@p1184)) % 247.16/247.49 (step @p1186 :rule trans :premises (@p1185 @p1132)) % 247.16/247.49 (step @p1187 :rule cong :premises (@p1186) :args (@t851)) % 247.16/247.49 (step @p1188 :rule trans :premises (@p1187 @p1108)) % 247.16/247.49 (step @p1189 :rule false_elim :premises (@p1188)) % 247.16/247.49 (step @p1190 :rule cnf_or_pos :args (@t857)) % 247.16/247.49 (step @p1191 :rule reordering :premises (@p1190) :args ((or @t851 @t856 (not @t857)))) % 247.16/247.49 (step @p1192 :rule chain_m_resolution :premises (@p1191 @p1189 @p1180) :args (@t856 @t622 (@list @t851 @t857))) % 247.16/247.49 (step @p1193 :rule refl :args (@t866)) % 247.16/247.49 (step @p1194 :rule refl :args (@t867)) % 247.16/247.49 (step @p1195 :rule refl :args (@t740)) % 247.16/247.49 (step @p1196 :rule refl :args (@t659)) % 247.16/247.49 (step @p1197 :rule refl :args (@t869)) % 247.16/247.49 (step @p1198 :rule refl :args (@t638)) % 247.16/247.49 (step @p1199 :rule refl :args (@t870)) % 247.16/247.49 (step @p1200 :rule refl :args (@t872)) % 247.16/247.49 (step @p1201 :rule bool-double-not-elim :args (@t610)) % 247.16/247.49 (step @p1202 :rule refl :args (@t874)) % 247.16/247.49 (step @p1203 :rule refl :args (@t876)) % 247.16/247.49 (step @p1204 :rule refl :args (@t878)) % 247.16/247.49 (step @p1205 :rule nary_cong :premises (@p1204 @p1203 @p1202 @p1201 @p1200 @p1199 @p1198 @p1197 @p1196 @p757 @p1195 @p1194 @p1193) :args ((or @t878 @t876 @t874 (not @t621) @t872 @t870 @t638 @t869 @t659 @t702 @t740 @t867 @t866))) % 247.16/247.49 (assume-push @p1337 @t877) % 247.16/247.49 (assume-push @p1338 @t875) % 247.16/247.49 (assume-push @p1339 @t873) % 247.16/247.49 (assume-push @p1340 @t621) % 247.16/247.49 (assume-push @p1341 @t871) % 247.16/247.49 (assume-push @p1342 @t627) % 247.16/247.49 (assume-push @p1343 @t637) % 247.16/247.49 (assume-push @p1344 @t868) % 247.16/247.49 (assume-push @p1345 @t658) % 247.16/247.49 (assume-push @p1346 @t701) % 247.16/247.49 (assume-push @p1347 @t739) % 247.16/247.49 (assume-push @p1348 @t761) % 247.16/247.49 (assume-push @p1349 (not @t879)) % 247.16/247.49 (assume-push @p1350 (= @t727 @t657)) % 247.16/247.49 (assume-push @p1351 @t658) % 247.16/247.49 (assume-push @p1352 @t627) % 247.16/247.49 (assume-push @p1353 @t868) % 247.16/247.49 (assume-push @p1354 @t739) % 247.16/247.49 (assume-push @p1355 @t761) % 247.16/247.49 (assume-push @p1356 @t637) % 247.16/247.49 (assume-push @p1357 @t877) % 247.16/247.49 (assume-push @p1358 @t701) % 247.16/247.49 (step @p1228 :rule bool-eq-false :args (@t879)) % 247.16/247.49 (step @p1229 :rule symm :premises (@p1228)) % 247.16/247.49 (step @p1230 :rule eq-symm :args (@t636 @t727)) % 247.16/247.49 (step @p1231 :rule cong :premises (@p1230) :args (@t881)) % 247.16/247.49 (step @p1232 :rule bool-eq-false :args (@t880)) % 247.16/247.49 (step @p1233 :rule trans :premises (@p1232 @p1231)) % 247.16/247.49 (step @p1234 :rule trans :premises (@p1233 @p1229)) % 247.16/247.49 (step @p1235 :rule false_intro :premises (@p558)) % 247.16/247.49 (step @p1236 :rule refl :args (@t608)) % 247.16/247.49 (step @p1237 :rule cong :premises (@p523 @p1236) :args (@t882)) % 247.16/247.49 (step @p1238 :rule trans :premises (@p1237 @p1235)) % 247.16/247.49 (step @p1239 :rule symm :premises (@p599)) % 247.16/247.49 (step @p1240 :rule trans :premises (@p1239 @p419)) % 247.16/247.49 (step @p1241 :rule cong :premises (@p1240 @p812) :args (@t880)) % 247.16/247.49 (step @p1242 :rule trans :premises (@p1241 @p1238)) % 247.16/247.49 (step @p1243 :rule eq_resolve :premises (@p1242 @p1234)) % 247.16/247.49 (step @p1244 :rule symm :premises (@p603)) % 247.16/247.49 (step @p1245 :rule symm :premises (@p776)) % 247.16/247.49 (step @p1246 :rule trans :premises (@p1245 @p411 @p599 @p1244)) % 247.16/247.49 (step @p1247 :rule symm :premises (@p1246)) % 247.16/247.49 (step @p1248 :rule trans :premises (@p1244 @p1247)) % 247.16/247.49 (step @p1249 :rule symm :premises (@p1248)) % 247.16/247.49 (step @p1250 :rule symm :premises (@p883)) % 247.16/247.49 (step @p1251 :rule trans :premises (@p1144 @p1250)) % 247.16/247.49 (step @p1252 :rule symm :premises (@p1251)) % 247.16/247.49 (step @p1253 :rule chain_m_resolution :premises (@p654 @p641) :args (@t658 @t640 @t661)) % 247.16/247.49 (step @p1254 :rule cong :premises (@p742 @p522 @p809) :args (@t726)) % 247.16/247.49 (step @p1255 :rule symm :premises (@p559)) % 247.16/247.49 (step @p1256 :rule trans :premises (@p1255 @p1254 @p1253)) % 247.16/247.49 (step @p1257 :rule symm :premises (@p1256)) % 247.16/247.49 (step @p1258 :rule trans :premises (@p564 @p655 @p1257)) % 247.16/247.49 (step @p1259 :rule symm :premises (@p1258)) % 247.16/247.49 (step @p1260 :rule trans :premises (@p1259 @p1252)) % 247.16/247.49 (step @p1261 :rule symm :premises (@p1260)) % 247.16/247.49 (step @p1262 :rule cong :premises (@p1261 @p1249) :args (@t856)) % 247.16/247.49 (step @p1263 :rule trans :premises (@p1262 @p1243)) % 247.16/247.49 (step @p1264 :rule false_elim :premises (@p1263)) % 247.16/247.49 (step-pop @p1359 :rule scope :premises (@p1264)) % 247.16/247.49 (step-pop @p1360 :rule scope :premises (@p1359)) % 247.16/247.49 (step-pop @p1361 :rule scope :premises (@p1360)) % 247.16/247.49 (step-pop @p1362 :rule scope :premises (@p1361)) % 247.16/247.49 (step-pop @p1363 :rule scope :premises (@p1362)) % 247.16/247.49 (step-pop @p1364 :rule scope :premises (@p1363)) % 247.16/247.49 (step-pop @p1365 :rule scope :premises (@p1364)) % 247.16/247.49 (step-pop @p1366 :rule scope :premises (@p1365)) % 247.16/247.49 (step-pop @p1367 :rule scope :premises (@p1366)) % 247.16/247.49 (step-pop @p1368 :rule scope :premises (@p1367)) % 247.16/247.49 (step @p1265 :rule process_scope :premises (@p1368) :args (@t866)) % 247.16/247.49 (step @p1276 :rule trans :premises (@p811 @p810 @p655)) % 247.16/247.49 (step @p1228 :rule bool-eq-false :args (@t879)) % 247.16/247.49 (step @p1229 :rule symm :premises (@p1228)) % 247.16/247.49 (step @p1230 :rule eq-symm :args (@t636 @t727)) % 247.16/247.49 (step @p1231 :rule cong :premises (@p1230) :args (@t881)) % 247.16/247.49 (step @p1232 :rule bool-eq-false :args (@t880)) % 247.16/247.49 (step @p1233 :rule trans :premises (@p1232 @p1231)) % 247.16/247.49 (step @p1234 :rule trans :premises (@p1233 @p1229)) % 247.16/247.49 (step @p1235 :rule false_intro :premises (@p558)) % 247.16/247.49 (step @p1236 :rule refl :args (@t608)) % 247.16/247.49 (step @p1237 :rule cong :premises (@p523 @p1236) :args (@t882)) % 247.16/247.49 (step @p1238 :rule trans :premises (@p1237 @p1235)) % 247.16/247.49 (step @p1239 :rule symm :premises (@p599)) % 247.16/247.49 (step @p1240 :rule trans :premises (@p1239 @p419)) % 247.16/247.49 (step @p1241 :rule cong :premises (@p1240 @p812) :args (@t880)) % 247.16/247.49 (step @p1242 :rule trans :premises (@p1241 @p1238)) % 247.16/247.49 (step @p1277 :rule eq_resolve :premises (@p1242 @p1234)) % 247.16/247.49 (step @p1278 :rule false_elim :premises (@p1277)) % 247.16/247.49 (step @p1279 :rule and_intro :premises (@p1278 @p1276 @p655 @p569 @p603 @p883 @p1144 @p599 @p521 @p776)) % 247.16/247.49 (step @p1280 :rule modus_ponens :premises (@p1279 @p1265)) % 247.16/247.49 (step-pop @p1369 :rule scope :premises (@p1280)) % 247.16/247.49 (step-pop @p1370 :rule scope :premises (@p1369)) % 247.16/247.49 (step-pop @p1371 :rule scope :premises (@p1370)) % 247.16/247.49 (step-pop @p1372 :rule scope :premises (@p1371)) % 247.16/247.49 (step-pop @p1373 :rule scope :premises (@p1372)) % 247.16/247.49 (step-pop @p1374 :rule scope :premises (@p1373)) % 247.16/247.49 (step-pop @p1375 :rule scope :premises (@p1374)) % 247.16/247.49 (step-pop @p1376 :rule scope :premises (@p1375)) % 233.21/247.50 (step-pop @p1377 :rule scope :premises (@p1376)) % 233.21/247.50 (step-pop @p1378 :rule scope :premises (@p1377)) % 233.21/247.50 (step-pop @p1379 :rule scope :premises (@p1378)) % 233.21/247.50 (step-pop @p1380 :rule scope :premises (@p1379)) % 233.21/247.50 (step @p1281 :rule process_scope :premises (@p1380) :args (@t866)) % 233.21/247.50 (step @p1294 :rule implies_elim :premises (@p1281)) % 233.21/247.50 (step @p1295 :rule cnf_and_neg :args (@t883)) % 233.21/247.50 (step @p1296 :rule resolution :premises (@p1295 @p1294) :args (true @t883)) % 233.21/247.50 (step @p1297 :rule eq_resolve :premises (@p1296 @p1205)) % 233.21/247.50 (step @p1298 false :rule chain_m_resolution :premises (@p1297 @p1192 @p1144 @p883 @p776 @p655 @p603 @p599 @p569 @p559 @p558 @p523 @p522 @p521) :args (false (@list false false false false false false false false false true false false false) (@list @t856 @t761 @t739 @t701 @t658 @t868 @t637 @t627 @t871 @t610 @t873 @t875 @t877))) % 233.21/247.50 ) % 233.21/247.50 % SZS output end Proof % 233.21/247.50 % cvc5 exiting %------------------------------------------------------------------------------