%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT154+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:46:22 AM UTC 2026 % Result : Theorem 65.02s 65.23s % Output : Proof 65.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT154+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:31:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.37/0.65 %----Proving TF0_NAR, FOF, or CNF % 65.02/65.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 65.02/65.23 --- Run --no-e-matching --full-saturate-quant at 6... % 65.02/65.23 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 65.02/65.23 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 65.02/65.23 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 65.02/65.23 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.02/65.23 % SZS status Theorem % 65.02/65.23 % SZS output start Proof % 65.02/65.23 ( % 65.02/65.23 (declare-sort $$unsorted 0) % 65.02/65.23 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.tc_Nat_Onat $$unsorted) % 65.02/65.23 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.v_P____ $$unsorted) % 65.02/65.23 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.v_P_H____ $$unsorted) % 65.02/65.23 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.v_F $$unsorted) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.tc_HOL_Obool $$unsorted) % 65.02/65.23 (declare-const tptp.v_b_H____ $$unsorted) % 65.02/65.23 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 65.02/65.23 (declare-const tptp.v_b____ $$unsorted) % 65.02/65.23 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.v_a_H____ $$unsorted) % 65.02/65.23 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.v_a____ $$unsorted) % 65.02/65.23 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 65.02/65.23 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 65.02/65.23 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.02/65.23 (define @t1 () (@var "V_g_2" $$unsorted)) % 65.02/65.23 (define @t2 () (@var "V_f_2" $$unsorted)) % 65.02/65.23 (define @t3 () (@var "B_x" $$unsorted)) % 65.02/65.23 (define @t4 () (tptp.hAPP @t1 @t3)) % 65.02/65.23 (define @t5 () (tptp.hAPP @t2 @t3)) % 65.02/65.23 (define @t6 () (@list @t3)) % 65.02/65.23 (define @t7 () (@var "B_i" $$unsorted)) % 65.02/65.23 (define @t8 () (tptp.hAPP tptp.v_P_H____ @t7)) % 65.02/65.23 (define @t9 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a_H____ tptp.v_b_H____)) % 65.02/65.23 (define @t10 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 65.02/65.23 (define @t11 () (tptp.c_member @t10 @t9 @t8)) % 65.02/65.23 (define @t12 () (tptp.hAPP tptp.v_P____ @t7)) % 65.02/65.23 (define @t13 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____)) % 65.02/65.23 (define @t14 () (tptp.c_member @t10 @t13 @t12)) % 65.02/65.23 (define @t15 () (@list @t7)) % 65.02/65.23 (define @t16 () (forall @t15 (= @t14 @t11))) % 65.02/65.23 (define @t17 () (@var "V_B_2" $$unsorted)) % 65.02/65.23 (define @t18 () (@var "V_c_2" $$unsorted)) % 65.02/65.23 (define @t19 () (@var "T_a" $$unsorted)) % 65.02/65.23 (define @t20 () (tptp.c_member @t19 @t18 @t17)) % 65.02/65.23 (define @t21 () (@var "V_A_2" $$unsorted)) % 65.02/65.23 (define @t22 () (tptp.c_member @t19 @t18 @t21)) % 65.02/65.23 (define @t23 () (=> (not @t22) @t20)) % 65.02/65.23 (define @t24 () (not @t20)) % 65.02/65.23 (define @t25 () (=> @t22 @t24)) % 65.02/65.23 (define @t26 () (= @t21 @t17)) % 65.02/65.23 (define @t27 () (@var "V_L_2" $$unsorted)) % 65.02/65.23 (define @t28 () (@var "V_y_2" $$unsorted)) % 65.02/65.23 (define @t29 () (@var "V_x_2" $$unsorted)) % 65.02/65.23 (define @t30 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t29 @t28)) % 65.02/65.23 (define @t31 () (tptp.c_member @t10 @t30 @t27)) % 65.02/65.23 (define @t32 () (@var "V_z_2" $$unsorted)) % 65.02/65.23 (define @t33 () (= @t29 @t32)) % 65.02/65.23 (define @t34 () (not @t33)) % 65.02/65.23 (define @t35 () (= @t29 @t28)) % 65.02/65.23 (define @t36 () (not @t35)) % 65.02/65.23 (define @t37 () (= @t28 @t32)) % 65.02/65.23 (define @t38 () (not @t37)) % 65.02/65.23 (define @t39 () (@list @t32 @t27 @t28 @t29)) % 65.02/65.23 (define @t40 () (tptp.tc_fun @t10 tptp.tc_HOL_Obool)) % 65.02/65.23 (define @t41 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t40)) % 65.02/65.23 (define @t42 () (tptp.c_member @t41 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 65.02/65.23 (define @t43 () (tptp.c_member @t41 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 65.02/65.23 (define @t44 () (@var "V_R_2" $$unsorted)) % 65.02/65.23 (define @t45 () (@var "T_b" $$unsorted)) % 65.02/65.23 (define @t46 () (tptp.c_Product__Type_OPair @t19 @t45 @t29 @t28)) % 65.02/65.23 (define @t47 () (tptp.tc_prod @t19 @t45)) % 65.02/65.23 (define @t48 () (forall (@list @t28 @t29 @t44 @t45 @t19) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t19 @t45 @t44) @t29) @t28)) (tptp.c_member @t47 @t46 @t44)))) % 65.02/65.23 (define @t49 () (@var "V_Pa_2" $$unsorted)) % 65.02/65.23 (define @t50 () (tptp.c_Recdef_Osame__fst @t19 @t45 @t49 @t44)) % 65.02/65.23 (define @t51 () (@var "V_y_H_2" $$unsorted)) % 65.02/65.23 (define @t52 () (tptp.tc_prod @t47 @t47)) % 65.02/65.23 (define @t53 () (tptp.tc_prod @t45 @t45)) % 65.02/65.23 (define @t54 () (tptp.hAPP @t49 @t29)) % 65.02/65.23 (define @t55 () (tptp.hBOOL @t54)) % 65.02/65.23 (define @t56 () (@var "V_r_2" $$unsorted)) % 65.02/65.23 (define @t57 () (tptp.c_Product__Type_OPair @t19 @t19 @t3 @t3)) % 65.02/65.23 (define @t58 () (tptp.tc_prod @t19 @t19)) % 65.02/65.23 (define @t59 () (tptp.c_member @t58 @t57 @t56)) % 65.02/65.23 (define @t60 () (@list @t56 @t19)) % 65.02/65.23 (define @t61 () (@var "B_b" $$unsorted)) % 65.02/65.23 (define @t62 () (@var "B_a" $$unsorted)) % 65.02/65.23 (define @t63 () (tptp.c_Product__Type_OPair @t19 @t45 @t62 @t61)) % 65.02/65.23 (define @t64 () (@list @t62 @t61)) % 65.02/65.23 (define @t65 () (@var "B_x1" $$unsorted)) % 65.02/65.23 (define @t66 () (@var "V_b_Ha_2" $$unsorted)) % 65.02/65.23 (define @t67 () (@var "V_ba_2" $$unsorted)) % 65.02/65.23 (define @t68 () (@var "V_a_Ha_2" $$unsorted)) % 65.02/65.23 (define @t69 () (@var "V_aa_2" $$unsorted)) % 65.02/65.23 (define @t70 () (= @t69 @t68)) % 65.02/65.23 (define @t71 () (and @t70 (= @t67 @t66))) % 65.02/65.23 (define @t72 () (tptp.c_Product__Type_OPair @t19 @t45 @t68 @t66)) % 65.02/65.23 (define @t73 () (tptp.c_Product__Type_OPair @t19 @t45 @t69 @t67)) % 65.02/65.23 (define @t74 () (= @t73 @t72)) % 65.02/65.23 (define @t75 () (= @t74 @t71)) % 65.02/65.23 (define @t76 () (@list @t66 @t68 @t67 @t69 @t45 @t19)) % 65.02/65.23 (define @t77 () (forall @t76 @t75)) % 65.02/65.23 (define @t78 () (@var "V_b_H" $$unsorted)) % 65.02/65.23 (define @t79 () (@var "V_b" $$unsorted)) % 65.02/65.23 (define @t80 () (@var "V_a_H" $$unsorted)) % 65.02/65.23 (define @t81 () (@var "V_a" $$unsorted)) % 65.02/65.23 (define @t82 () (tptp.hAPP @t21 @t29)) % 65.02/65.23 (define @t83 () (tptp.hBOOL @t82)) % 65.02/65.23 (define @t84 () (tptp.c_member @t19 @t29 @t21)) % 65.02/65.23 (define @t85 () (@list @t21 @t29 @t19)) % 65.02/65.23 (define @t86 () (tptp.c_member @t19 @t69 @t21)) % 65.02/65.23 (define @t87 () (tptp.c_member @t19 @t67 @t21)) % 65.02/65.23 (define @t88 () (= @t69 @t67)) % 65.02/65.23 (define @t89 () (@list @t21 @t19 @t67 @t69)) % 65.02/65.23 (define @t90 () (tptp.c_member @t19 @t28 @t21)) % 65.02/65.23 (define @t91 () (tptp.c_member @t19 @t29 @t17)) % 65.02/65.23 (define @t92 () (@var "V_P_Ha_2" $$unsorted)) % 65.02/65.23 (define @t93 () (tptp.hAPP tptp.v_F @t92)) % 65.02/65.23 (define @t94 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t67 @t69)) % 65.02/65.23 (define @t95 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t69 @t67)) % 65.02/65.23 (define @t96 () (tptp.c_member @t10 @t95 (tptp.hAPP tptp.v_F @t49))) % 65.02/65.23 (define @t97 () (= @t96 (tptp.c_member @t10 @t94 @t93))) % 65.02/65.23 (define @t98 () (tptp.hAPP @t92 @t7)) % 65.02/65.23 (define @t99 () (tptp.c_member @t10 @t95 (tptp.hAPP @t49 @t7))) % 65.02/65.23 (define @t100 () (forall @t15 (= @t99 (tptp.c_member @t10 @t94 @t98)))) % 65.02/65.23 (define @t101 () (=> @t100 @t97)) % 65.02/65.23 (define @t102 () (tptp.c_member @t41 @t92 tptp.c_Arrow__Order__Mirabelle_OProf)) % 65.02/65.23 (define @t103 () (=> @t102 @t101)) % 65.02/65.23 (define @t104 () (tptp.c_member @t41 @t49 tptp.c_Arrow__Order__Mirabelle_OProf)) % 65.02/65.23 (define @t105 () (=> @t104 @t103)) % 65.02/65.23 (define @t106 () (not @t88)) % 65.02/65.23 (define @t107 () (=> @t106 @t105)) % 65.02/65.23 (define @t108 () (@list @t92 @t49 @t67 @t69)) % 65.02/65.23 (define @t109 () (forall @t108 @t107)) % 65.02/65.23 (define @t110 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t67 @t18)) % 65.02/65.23 (define @t111 () (= @t96 (tptp.c_member @t10 @t110 @t93))) % 65.02/65.23 (define @t112 () (forall @t15 (= @t99 (tptp.c_member @t10 @t110 @t98)))) % 65.02/65.23 (define @t113 () (=> @t112 @t111)) % 65.02/65.23 (define @t114 () (=> @t102 @t113)) % 65.02/65.23 (define @t115 () (=> @t104 @t114)) % 65.02/65.23 (define @t116 () (= @t69 @t18)) % 65.02/65.23 (define @t117 () (not @t116)) % 65.02/65.23 (define @t118 () (=> @t117 @t115)) % 65.02/65.23 (define @t119 () (= @t67 @t18)) % 65.02/65.23 (define @t120 () (not @t119)) % 65.02/65.23 (define @t121 () (=> @t120 @t118)) % 65.02/65.23 (define @t122 () (=> @t106 @t121)) % 65.02/65.23 (define @t123 () (@list @t92 @t49 @t18 @t67 @t69)) % 65.02/65.23 (define @t124 () (forall @t123 @t122)) % 65.02/65.23 (define @t125 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t68 @t66)) % 65.02/65.23 (define @t126 () (tptp.c_member @t10 @t125 @t93)) % 65.02/65.23 (define @t127 () (=> @t96 @t126)) % 65.02/65.23 (define @t128 () (forall @t15 (= @t99 (tptp.c_member @t10 @t125 @t98)))) % 65.02/65.23 (define @t129 () (=> @t128 @t127)) % 65.02/65.23 (define @t130 () (=> @t102 @t129)) % 65.02/65.23 (define @t131 () (=> @t104 @t130)) % 65.02/65.23 (define @t132 () (not (= @t67 @t68))) % 65.02/65.23 (define @t133 () (=> @t132 @t131)) % 65.02/65.23 (define @t134 () (not (= @t69 @t66))) % 65.02/65.23 (define @t135 () (=> @t134 @t133)) % 65.02/65.23 (define @t136 () (not (= @t68 @t66))) % 65.02/65.23 (define @t137 () (=> @t136 @t135)) % 65.02/65.23 (define @t138 () (=> @t106 @t137)) % 65.02/65.23 (define @t139 () (@list @t92 @t49 @t66 @t68 @t67 @t69)) % 65.02/65.23 (define @t140 () (forall @t139 @t138)) % 65.02/65.23 (define @t141 () (= @t96 @t126)) % 65.02/65.23 (define @t142 () (=> @t128 @t141)) % 65.02/65.23 (define @t143 () (=> @t102 @t142)) % 65.02/65.23 (define @t144 () (=> @t104 @t143)) % 65.02/65.23 (define @t145 () (=> @t132 @t144)) % 65.02/65.23 (define @t146 () (=> @t134 @t145)) % 65.02/65.23 (define @t147 () (=> @t136 @t146)) % 65.02/65.23 (define @t148 () (=> @t106 @t147)) % 65.02/65.23 (define @t149 () (forall @t139 @t148)) % 65.02/65.23 (define @t150 () (@var "V_f1_2" $$unsorted)) % 65.02/65.23 (define @t151 () (@var "T_c" $$unsorted)) % 65.02/65.23 (define @t152 () (tptp.c_Product__Type_OPair @t45 @t151 @t69 @t67)) % 65.02/65.23 (define @t153 () (@var "B_xa" $$unsorted)) % 65.02/65.23 (define @t154 () (@var "V_Fa_2" $$unsorted)) % 65.02/65.23 (define @t155 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t61)) % 65.02/65.23 (define @t156 () (tptp.hAPP @t154 @t3)) % 65.02/65.23 (define @t157 () (tptp.c_member @t10 @t155 @t156)) % 65.02/65.23 (define @t158 () (tptp.c_member @t10 @t155 (tptp.hAPP @t3 @t7))) % 65.02/65.23 (define @t159 () (@list @t153)) % 65.02/65.23 (define @t160 () (tptp.c_member @t41 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 65.02/65.23 (define @t161 () (@list @t154)) % 65.02/65.23 (define @t162 () (@var "V_s_2" $$unsorted)) % 65.02/65.23 (define @t163 () (@var "V_i_2" $$unsorted)) % 65.02/65.23 (define @t164 () (@var "B_z" $$unsorted)) % 65.02/65.23 (define @t165 () (@var "B_g" $$unsorted)) % 65.02/65.23 (define @t166 () (@var "V_a1_2" $$unsorted)) % 65.02/65.23 (define @t167 () (@list @t164)) % 65.02/65.23 (define @t168 () (forall @t167 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t164 @t166) @t44) (tptp.c_Recdef_Owfrec__rel @t19 @t45 @t44 @t154 @t164 (tptp.hAPP @t165 @t164))))) % 65.02/65.23 (define @t169 () (tptp.hAPP (tptp.hAPP @t154 @t165) @t166)) % 65.02/65.23 (define @t170 () (@var "V_a2_2" $$unsorted)) % 65.02/65.23 (define @t171 () (tptp.hAPP (tptp.hAPP @t154 @t170) @t166)) % 65.02/65.23 (define @t172 () (@list @t165)) % 65.02/65.23 (define @t173 () (@list @t170 @t166 @t154 @t44 @t45 @t19)) % 65.02/65.23 (define @t174 () (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t164 @t29) @t44)) % 65.02/65.23 (define @t175 () (tptp.c_Wellfounded_Oacc @t19 @t56)) % 65.02/65.23 (define @t176 () (tptp.c_member @t19 @t3 @t175)) % 65.02/65.24 (define @t177 () (tptp.c_member @t19 @t69 @t175)) % 65.02/65.24 (define @t178 () (@list @t56 @t69 @t19)) % 65.02/65.24 (define @t179 () (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t67)) % 65.02/65.24 (define @t180 () (tptp.c_member @t58 @t179 @t56)) % 65.02/65.24 (define @t181 () (tptp.c_member @t19 @t67 @t175)) % 65.02/65.24 (define @t182 () (tptp.c_member @t40 @t27 tptp.c_Arrow__Order__Mirabelle_OLin)) % 65.02/65.24 (define @t183 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t19 @t45 tptp.tc_HOL_Obool @t2 @t69 @t67))) % 65.02/65.24 (define @t184 () (tptp.hBOOL (tptp.hAPP @t2 @t73))) % 65.02/65.24 (define @t185 () (@var "B_f" $$unsorted)) % 65.02/65.24 (define @t186 () (@var "B_R" $$unsorted)) % 65.02/65.24 (define @t187 () (tptp.c_Product__Type_OPair @t19 @t19 @t29 @t69)) % 65.02/65.24 (define @t188 () (@var "B_y" $$unsorted)) % 65.02/65.24 (define @t189 () (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t188 @t29) @t56)) % 65.02/65.24 (define @t190 () (@list @t188)) % 65.02/65.24 (define @t191 () (tptp.hAPP @t2 @t29)) % 65.02/65.24 (define @t192 () (tptp.c_Recdef_Ocut @t19 @t45 @t2 @t56 @t69)) % 65.02/65.24 (define @t193 () (tptp.c_member @t58 @t187 @t56)) % 65.02/65.24 (define @t194 () (@list @t29 @t27)) % 65.02/65.24 (define @t195 () (= @t29 @t69)) % 65.02/65.24 (define @t196 () (= @t28 @t67)) % 65.02/65.24 (define @t197 () (= @t28 @t69)) % 65.02/65.24 (define @t198 () (@list @t28 @t29 @t27 @t67 @t69)) % 65.02/65.24 (define @t199 () (= @t29 @t67)) % 65.02/65.24 (define @t200 () (@list @t27 @t28 @t29)) % 65.02/65.24 (define @t201 () (tptp.c_Wellfounded_Oacc @t19 @t44)) % 65.02/65.24 (define @t202 () (tptp.c_member @t19 @t29 @t175)) % 65.02/65.24 (define @t203 () (@list @t56 @t29 @t19)) % 65.02/65.24 (define @t204 () (tptp.c_Transitive__Closure_Ortrancl @t19 @t56)) % 65.02/65.24 (define @t205 () (tptp.c_Product__Type_OPair @t19 @t19 @t67 @t69)) % 65.02/65.24 (define @t206 () (tptp.c_member @t58 @t205 @t204)) % 65.02/65.24 (define @t207 () (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t69)) % 65.02/65.24 (define @t208 () (@var "V_p_2" $$unsorted)) % 65.02/65.24 (define @t209 () (tptp.c_member @t58 @t208 @t56)) % 65.02/65.24 (define @t210 () (@list @t56 @t208 @t19)) % 65.02/65.24 (define @t211 () (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t18)) % 65.02/65.24 (define @t212 () (tptp.c_member @t58 @t211 @t204)) % 65.02/65.24 (define @t213 () (tptp.c_Product__Type_OPair @t19 @t19 @t67 @t18)) % 65.02/65.24 (define @t214 () (tptp.c_member @t58 @t213 @t204)) % 65.02/65.24 (define @t215 () (=> @t214 @t212)) % 65.02/65.24 (define @t216 () (@list @t18 @t56 @t67 @t69 @t19)) % 65.02/65.24 (define @t217 () (tptp.c_member @t58 @t213 @t56)) % 65.02/65.24 (define @t218 () (tptp.c_member @t58 @t179 @t204)) % 65.02/65.24 (define @t219 () (@var "B_L" $$unsorted)) % 65.02/65.24 (define @t220 () (@list @t28 @t29 @t19)) % 65.02/65.24 (define @t221 () (tptp.c_Transitive__Closure_Ortrancl @t19 @t44)) % 65.02/65.24 (define @t222 () (tptp.c_Product__Type_OPair @t19 @t19 @t29 @t28)) % 65.02/65.24 (define @t223 () (tptp.c_member @t58 @t222 @t221)) % 65.02/65.24 (define @t224 () (tptp.c_Relation_ODomain @t19 @t45 @t56)) % 65.02/65.24 (define @t225 () (tptp.c_member @t19 @t69 @t224)) % 65.02/65.24 (define @t226 () (tptp.c_member @t47 @t73 @t56)) % 65.02/65.24 (define @t227 () (@list @t56 @t67 @t69 @t45 @t19)) % 65.02/65.24 (define @t228 () (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t19 @t45 @t69 @t188) @t56)) % 65.02/65.24 (define @t229 () (@list @t56 @t45 @t69 @t19)) % 65.02/65.24 (define @t230 () (tptp.c_Product__Type_OPair @t19 @t19 @t28 @t32)) % 65.02/65.24 (define @t231 () (tptp.c_Product__Type_OPair @t19 @t19 @t29 @t32)) % 65.02/65.24 (define @t232 () (tptp.c_member @t58 @t231 @t204)) % 65.02/65.24 (define @t233 () (tptp.c_member @t58 @t222 @t204)) % 65.02/65.24 (define @t234 () (@var "V_by_2" $$unsorted)) % 65.02/65.24 (define @t235 () (@var "V_bx_2" $$unsorted)) % 65.02/65.24 (define @t236 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t235) @t234))) % 65.02/65.24 (define @t237 () (@var "B_ba" $$unsorted)) % 65.02/65.24 (define @t238 () (@var "B_aa" $$unsorted)) % 65.02/65.24 (define @t239 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t238) @t237))) % 65.02/65.24 (define @t240 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t62) @t61))) % 65.02/65.24 (define @t241 () (tptp.c_Product__Type_OPair @t19 @t45 @t238 @t237)) % 65.02/65.24 (define @t242 () (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t63 @t241) @t56)) % 65.02/65.24 (define @t243 () (tptp.c_Transitive__Closure_Ortrancl @t47 @t56)) % 65.02/65.24 (define @t244 () (@var "V_ay_2" $$unsorted)) % 65.02/65.24 (define @t245 () (@var "V_ax_2" $$unsorted)) % 65.02/65.24 (define @t246 () (tptp.c_Product__Type_OPair @t19 @t45 @t245 @t244)) % 65.02/65.24 (define @t247 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t49 @t245) @t244))) % 65.02/65.24 (define @t248 () (tptp.c_Product__Type_OPair @t19 @t45 @t235 @t234)) % 65.02/65.24 (define @t249 () (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t246 @t248) @t243)) % 65.02/65.24 (define @t250 () (@list @t49 @t56 @t234 @t235 @t244 @t245 @t45 @t19)) % 65.02/65.24 (define @t251 () (@var "V_zb_2" $$unsorted)) % 65.02/65.24 (define @t252 () (@var "V_za_2" $$unsorted)) % 65.02/65.24 (define @t253 () (tptp.c_Product__Type_OPair @t19 @t45 @t252 @t251)) % 65.02/65.24 (define @t254 () (@var "V_xb_2" $$unsorted)) % 65.02/65.24 (define @t255 () (@var "V_xa_2" $$unsorted)) % 65.02/65.24 (define @t256 () (tptp.c_Product__Type_OPair @t19 @t45 @t255 @t254)) % 65.02/65.24 (define @t257 () (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t188) @t204)) % 65.02/65.24 (define @t258 () (@list @t56 @t67 @t69 @t19)) % 65.02/65.24 (define @t259 () (tptp.c_Product__Type_OPair @t19 @t19 @t188 @t32)) % 65.02/65.24 (define @t260 () (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t29 @t188) @t56)) % 65.02/65.24 (define @t261 () (@list @t56 @t32 @t29 @t19)) % 65.02/65.24 (define @t262 () (@list @t3 @t188)) % 65.02/65.24 (define @t263 () (forall @t262 (=> (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t19 @t45 @t3 @t188) @t56) (forall @t167 (=> (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t19 @t45 @t3 @t164) @t56) (= @t188 @t164)))))) % 65.02/65.24 (define @t264 () (tptp.c_Relation_Osingle__valued @t19 @t45 @t56)) % 65.02/65.24 (define @t265 () (@list @t56 @t45 @t19)) % 65.02/65.24 (define @t266 () (tptp.c_Relation_OId__on @t19 @t21)) % 65.02/65.24 (define @t267 () (@list @t21 @t28 @t29 @t19)) % 65.02/65.24 (define @t268 () (tptp.hBOOL (tptp.hAPP @t49 @t67))) % 65.02/65.24 (define @t269 () (tptp.hBOOL (tptp.hAPP @t49 @t164))) % 65.02/65.24 (define @t270 () (tptp.hBOOL (tptp.hAPP @t49 @t188))) % 65.02/65.24 (define @t271 () (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t188 @t164) @t56)) % 65.02/65.24 (define @t272 () (tptp.hBOOL (tptp.hAPP @t49 @t69))) % 65.02/65.24 (define @t273 () (@list @t49 @t56 @t67 @t69 @t19)) % 65.02/65.24 (define @t274 () (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t153 @t3) @t56)) % 65.02/65.24 (define @t275 () (not (= @t3 @t153))) % 65.02/65.24 (define @t276 () (tptp.c_member @t19 @t3 @t21)) % 65.02/65.24 (define @t277 () (tptp.c_Relation_Ototal__on @t19 @t21 @t56)) % 65.02/65.24 (define @t278 () (@list @t56 @t21 @t19)) % 65.02/65.24 (define @t279 () (@list @t21 @t19)) % 65.02/65.24 (define @t280 () (tptp.tc_prod @t45 @t19)) % 65.02/65.24 (define @t281 () (tptp.c_Relation_ORange @t45 @t19 @t56)) % 65.02/65.24 (define @t282 () (tptp.c_member @t280 (tptp.c_Product__Type_OPair @t45 @t19 @t3 @t67) @t56)) % 65.02/65.24 (define @t283 () (tptp.hAPP @t2 @t28)) % 65.02/65.24 (define @t284 () (tptp.c_member @t58 @t222 @t56)) % 65.02/65.24 (define @t285 () (tptp.c_Relation_Orefl__on @t19 @t21 @t56)) % 65.02/65.24 (define @t286 () (@list @t28 @t29 @t56 @t21 @t19)) % 65.02/65.24 (define @t287 () (tptp.c_member @t58 @t207 @t56)) % 65.02/65.24 (define @t288 () (@list @t69 @t56 @t21 @t19)) % 65.02/65.24 (define @t289 () (tptp.c_Transitive__Closure_Otrancl @t19 @t56)) % 65.02/65.24 (define @t290 () (tptp.c_member @t58 @t179 @t289)) % 65.02/65.24 (define @t291 () (tptp.c_Relation_OId @t19)) % 65.02/65.24 (define @t292 () (@list @t69 @t19)) % 65.02/65.24 (define @t293 () (tptp.c_member @t58 @t208 @t289)) % 65.02/65.24 (define @t294 () (tptp.c_Transitive__Closure_Otrancl @t19 @t44)) % 65.02/65.24 (define @t295 () (@list @t44 @t19)) % 65.02/65.24 (define @t296 () (tptp.c_Relation_ODomain @t19 @t19 @t56)) % 65.02/65.24 (define @t297 () (tptp.c_Relation_ORange @t19 @t19 @t56)) % 65.02/65.24 (define @t298 () (@list @t19)) % 65.02/65.24 (define @t299 () (tptp.c_member @t58 @t211 @t289)) % 65.02/65.24 (define @t300 () (=> (tptp.c_member @t58 @t213 @t289) @t299)) % 65.02/65.24 (define @t301 () (=> @t217 @t299)) % 65.02/65.24 (define @t302 () (@list @t67 @t69 @t19)) % 65.02/65.24 (define @t303 () (tptp.c_member @t58 @t222 @t294)) % 65.02/65.24 (define @t304 () (@list @t44 @t28 @t29 @t19)) % 65.02/65.24 (define @t305 () (=> @t214 @t299)) % 65.02/65.24 (define @t306 () (tptp.c_member @t58 @t231 @t289)) % 65.02/65.24 (define @t307 () (tptp.c_Product__Type_OPair @t19 @t19 @t164 @t28)) % 65.02/65.24 (define @t308 () (tptp.c_Product__Type_OPair @t19 @t19 @t29 @t164)) % 65.02/65.24 (define @t309 () (forall @t6 (not (tptp.c_member @t58 @t57 @t289)))) % 65.02/65.24 (define @t310 () (tptp.c_Wellfounded_Oacyclic @t19 @t56)) % 65.02/65.24 (define @t311 () (@var "B_c" $$unsorted)) % 65.02/65.24 (define @t312 () (not @t233)) % 65.02/65.24 (define @t313 () (tptp.c_Product__Type_OPair @t19 @t19 @t28 @t29)) % 65.02/65.24 (define @t314 () (tptp.c_Set_Oinsert @t58 @t313 @t56)) % 65.02/65.24 (define @t315 () (@list @t56 @t29 @t28 @t19)) % 65.02/65.24 (define @t316 () (tptp.tc_fun @t58 tptp.tc_HOL_Obool)) % 65.02/65.24 (define @t317 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t56 @t291)) % 65.02/65.24 (define @t318 () (tptp.c_member @t58 @t205 @t56)) % 65.02/65.24 (define @t319 () (tptp.c_Relation_Oantisym @t19 @t56)) % 65.02/65.24 (define @t320 () (@list @t67 @t69 @t56 @t19)) % 65.02/65.24 (define @t321 () (= @t3 @t188)) % 65.02/65.24 (define @t322 () (tptp.c_Product__Type_OPair @t19 @t19 @t188 @t3)) % 65.02/65.24 (define @t323 () (tptp.c_member @t58 @t322 @t56)) % 65.02/65.24 (define @t324 () (tptp.c_Product__Type_OPair @t19 @t19 @t3 @t188)) % 65.02/65.24 (define @t325 () (forall @t262 (=> (tptp.c_member @t58 @t324 @t56) (=> @t323 @t321)))) % 65.02/65.24 (define @t326 () (tptp.hAPP @t17 @t29)) % 65.02/65.24 (define @t327 () (tptp.hBOOL @t326)) % 65.02/65.24 (define @t328 () (tptp.tc_fun @t19 tptp.tc_HOL_Obool)) % 65.02/65.24 (define @t329 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t17)) % 65.02/65.24 (define @t330 () (tptp.hBOOL (tptp.hAPP @t329 @t29))) % 65.02/65.24 (define @t331 () (@list @t29 @t17 @t21 @t19)) % 65.02/65.24 (define @t332 () (not @t327)) % 65.02/65.24 (define @t333 () (tptp.c_member @t19 @t69 (tptp.c_Set_Oinsert @t19 @t67 @t21))) % 65.02/65.24 (define @t334 () (@list @t21 @t67 @t69 @t19)) % 65.02/65.24 (define @t335 () (tptp.c_Set_Oinsert @t19 @t67 @t17)) % 65.02/65.24 (define @t336 () (tptp.c_member @t19 @t69 @t335)) % 65.02/65.24 (define @t337 () (tptp.c_member @t19 @t69 @t17)) % 65.02/65.24 (define @t338 () (@list @t67 @t17 @t69 @t19)) % 65.02/65.24 (define @t339 () (tptp.c_member @t19 @t18 @t329)) % 65.02/65.24 (define @t340 () (@list @t17 @t21 @t18 @t19)) % 65.02/65.24 (define @t341 () (@list @t21 @t17 @t18 @t19)) % 65.02/65.24 (define @t342 () (tptp.c_Relation_ORange @t45 @t19 @t17)) % 65.02/65.24 (define @t343 () (tptp.c_Relation_ORange @t45 @t19 @t21)) % 65.02/65.24 (define @t344 () (tptp.tc_fun @t280 tptp.tc_HOL_Obool)) % 65.02/65.24 (define @t345 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t17 @t21)) % 65.02/65.24 (define @t346 () (@list @t17 @t21 @t19)) % 65.02/65.24 (define @t347 () (tptp.c_Set_Oinsert @t19 @t29 @t21)) % 65.02/65.24 (define @t348 () (tptp.c_Set_Oinsert @t19 @t28 @t21)) % 65.02/65.24 (define @t349 () (tptp.c_Set_Oinsert @t19 @t69 @t17)) % 65.02/65.24 (define @t350 () (@var "V_C_2" $$unsorted)) % 65.02/65.24 (define @t351 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t350)) % 65.02/65.24 (define @t352 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t17 @t350)) % 65.02/65.24 (define @t353 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t352)) % 65.02/65.24 (define @t354 () (@list @t350 @t17 @t21 @t19)) % 65.02/65.24 (define @t355 () (tptp.hBOOL (tptp.hAPP @t49 @t3))) % 65.02/65.24 (define @t356 () (tptp.c_member @t19 @t3 @t17)) % 65.02/65.24 (define @t357 () (tptp.c_member @t19 @t3 @t329)) % 65.02/65.24 (define @t358 () (@list @t49 @t17 @t21 @t19)) % 65.02/65.24 (define @t359 () (tptp.c_Relation_ODomain @t19 @t45 @t17)) % 65.02/65.24 (define @t360 () (tptp.c_Relation_ODomain @t19 @t45 @t21)) % 65.02/65.24 (define @t361 () (tptp.tc_fun @t47 tptp.tc_HOL_Obool)) % 65.02/65.24 (define @t362 () (@list @t17 @t21 @t45 @t19)) % 65.02/65.24 (define @t363 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t56 @t162)) % 65.02/65.24 (define @t364 () (tptp.c_Relation_Orefl__on @t19 @t17 @t162)) % 65.02/65.24 (define @t365 () (@list @t162 @t17 @t56 @t21 @t19)) % 65.02/65.24 (define @t366 () (tptp.c_Product__Type_OPair @t45 @t19 @t69 @t67)) % 65.02/65.24 (define @t367 () (tptp.c_Set_Oinsert @t19 @t29 @t17)) % 65.02/65.24 (define @t368 () (not @t84)) % 65.02/65.24 (define @t369 () (@list @t17 @t21 @t29 @t19)) % 65.02/65.24 (define @t370 () (tptp.c_Set_Oinsert @t19 @t69 @t21)) % 65.02/65.24 (define @t371 () (@list @t21 @t69 @t19)) % 65.02/65.24 (define @t372 () (@var "V_S_2" $$unsorted)) % 65.02/65.24 (define @t373 () (tptp.c_Transitive__Closure_Ortrancl @t19 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t44 @t372))) % 65.02/65.24 (define @t374 () (tptp.c_Transitive__Closure_Ortrancl @t19 @t372)) % 65.02/65.24 (define @t375 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t221 @t374)) % 65.02/65.24 (define @t376 () (@list @t372 @t44 @t19)) % 65.02/65.24 (define @t377 () (tptp.hAPP @t1 @t29)) % 65.02/65.24 (define @t378 () (tptp.tc_fun @t45 @t19)) % 65.02/65.24 (define @t379 () (tptp.class_Lattices_Olattice @t19)) % 65.02/65.24 (define @t380 () (@list @t29 @t1 @t2 @t45 @t19)) % 65.02/65.24 (define @t381 () (tptp.c_Transitive__Closure_Ortrancl @t19 @t49)) % 65.02/65.24 (define @t382 () (tptp.c_member @t58 @t179 @t381)) % 65.02/65.24 (define @t383 () (@var "V_Q_2" $$unsorted)) % 65.02/65.24 (define @t384 () (tptp.c_member @t58 @t179 (tptp.c_Transitive__Closure_Ortrancl @t19 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t49 @t383)))) % 65.02/65.24 (define @t385 () (@list @t383 @t49 @t67 @t69 @t19)) % 65.02/65.24 (define @t386 () (tptp.c_Wellfounded_Owf @t19 @t56)) % 65.02/65.24 (define @t387 () (tptp.c_Relation_OField @t19 @t56)) % 65.02/65.24 (define @t388 () (@var "V_rb_2" $$unsorted)) % 65.02/65.24 (define @t389 () (@var "V_ra_2" $$unsorted)) % 65.02/65.24 (define @t390 () (@list @t29 @t56 @t19)) % 65.02/65.24 (define @t391 () (tptp.c_Relation_OField @t19 @t162)) % 65.02/65.24 (define @t392 () (@list @t162 @t56 @t19)) % 65.02/65.24 (define @t393 () (tptp.class_Lattices_Osemilattice__sup @t19)) % 65.02/65.24 (define @t394 () (@list @t81 @t19)) % 65.02/65.24 (define @t395 () (@var "V_x" $$unsorted)) % 65.02/65.24 (define @t396 () (@list @t395 @t19)) % 65.02/65.24 (define @t397 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t81 @t79)) % 65.02/65.24 (define @t398 () (@list @t79 @t81 @t19)) % 65.02/65.24 (define @t399 () (@var "V_y" $$unsorted)) % 65.02/65.24 (define @t400 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t399 @t395)) % 65.02/65.24 (define @t401 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t399)) % 65.02/65.24 (define @t402 () (= @t401 @t400)) % 65.02/65.24 (define @t403 () (@list @t399 @t395 @t19)) % 65.02/65.24 (define @t404 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t401) @t401)) % 65.02/65.24 (define @t405 () (@var "V_c" $$unsorted)) % 65.02/65.24 (define @t406 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t81 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t79 @t405))) % 65.02/65.24 (define @t407 () (@list @t405 @t81 @t79 @t19)) % 65.02/65.24 (define @t408 () (@var "V_z" $$unsorted)) % 65.02/65.24 (define @t409 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t408)) % 65.02/65.24 (define @t410 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t399 @t408)) % 65.02/65.24 (define @t411 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t410)) % 65.02/65.24 (define @t412 () (= @t411 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t399 @t409))) % 65.02/65.24 (define @t413 () (@list @t408 @t399 @t395 @t19)) % 65.02/65.24 (define @t414 () (@list @t405 @t79 @t81 @t19)) % 65.02/65.24 (define @t415 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t401 @t408) @t411)) % 65.02/65.24 (define @t416 () (@var "V_H_2" $$unsorted)) % 65.02/65.24 (define @t417 () (tptp.hAPP @t2 @t69)) % 65.02/65.24 (define @t418 () (tptp.c_Recdef_Owfrec @t19 @t45 @t56 @t416)) % 65.02/65.24 (define @t419 () (@var "B_M" $$unsorted)) % 65.02/65.24 (define @t420 () (tptp.c_Recdef_Owfrec @t19 @t45 @t186 @t419)) % 65.02/65.24 (define @t421 () (tptp.c_Orderings_Obot__class_Obot @t328)) % 65.02/65.24 (define @t422 () (tptp.c_Set_Oinsert @t19 @t67 @t421)) % 65.02/65.24 (define @t423 () (tptp.c_Set_Oinsert @t19 @t69 @t422)) % 65.02/65.24 (define @t424 () (tptp.c_Orderings_Obot__class_Obot @t316)) % 65.02/65.24 (define @t425 () (tptp.c_Orderings_Obot__class_Obot @t344)) % 65.02/65.24 (define @t426 () (@list @t56 @t19 @t45)) % 65.02/65.24 (define @t427 () (tptp.c_Orderings_Obot__class_Obot @t361)) % 65.02/65.24 (define @t428 () (= @t21 @t421)) % 65.02/65.24 (define @t429 () (not @t276)) % 65.02/65.24 (define @t430 () (not @t86)) % 65.02/65.24 (define @t431 () (@var "V_d_2" $$unsorted)) % 65.02/65.24 (define @t432 () (tptp.c_Set_Oinsert @t19 @t69 @t421)) % 65.02/65.24 (define @t433 () (@list @t17 @t19)) % 65.02/65.24 (define @t434 () (tptp.c_Orderings_Obot__class_Obot @t19)) % 65.02/65.24 (define @t435 () (tptp.class_Lattices_Obounded__lattice__bot @t19)) % 65.02/65.24 (define @t436 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t29 @t28)) % 65.02/65.24 (define @t437 () (= @t67 @t69)) % 65.02/65.24 (define @t438 () (tptp.c_member @t19 @t67 @t432)) % 65.02/65.24 (define @t439 () (@list @t69 @t67 @t19)) % 65.02/65.24 (define @t440 () (tptp.c_Set_Oinsert @t19 @t29 @t421)) % 65.02/65.24 (define @t441 () (tptp.class_Orderings_Obot @t19)) % 65.02/65.24 (define @t442 () (@var "B_Q" $$unsorted)) % 65.02/65.24 (define @t443 () (tptp.c_member @t19 @t3 @t442)) % 65.02/65.24 (define @t444 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t17)) % 65.02/65.24 (define @t445 () (tptp.hBOOL (tptp.hAPP @t444 @t29))) % 65.02/65.24 (define @t446 () (tptp.c_member @t19 @t18 @t444)) % 65.02/65.24 (define @t447 () (tptp.c_member @t19 @t153 @t17)) % 65.02/65.24 (define @t448 () (tptp.c_Set_Oinsert @t19 @t69 @t444)) % 65.02/65.24 (define @t449 () (@list @t17 @t21 @t69 @t19)) % 65.02/65.24 (define @t450 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t350)) % 65.02/65.24 (define @t451 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t352)) % 65.02/65.24 (define @t452 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t17 @t350)) % 65.02/65.24 (define @t453 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t350 @t21)) % 65.02/65.24 (define @t454 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t17 @t21)) % 65.02/65.24 (define @t455 () (@list @t21 @t350 @t17 @t19)) % 65.02/65.24 (define @t456 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t350 @t21)) % 65.02/65.24 (define @t457 () (@var "V_r_H_2" $$unsorted)) % 65.02/65.24 (define @t458 () (@list @t457 @t56 @t19)) % 65.02/65.24 (define @t459 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t452)) % 65.02/65.24 (define @t460 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t399 @t408)) % 65.02/65.24 (define @t461 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t460)) % 65.02/65.24 (define @t462 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t399)) % 65.02/65.24 (define @t463 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t462 @t408) @t461)) % 65.02/65.24 (define @t464 () (tptp.class_Lattices_Osemilattice__inf @t19)) % 65.02/65.24 (define @t465 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t81 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t79 @t405))) % 65.02/65.24 (define @t466 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t81 @t79)) % 65.02/65.24 (define @t467 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t408)) % 65.02/65.24 (define @t468 () (= @t461 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t399 @t467))) % 65.02/65.24 (define @t469 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t462) @t462)) % 65.02/65.24 (define @t470 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t399 @t395)) % 65.02/65.24 (define @t471 () (= @t462 @t470)) % 65.02/65.24 (define @t472 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t462 @t467)) % 65.02/65.24 (define @t473 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t410)) % 65.02/65.24 (define @t474 () (tptp.class_Lattices_Odistrib__lattice @t19)) % 65.02/65.24 (define @t475 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t401 @t409)) % 65.02/65.24 (define @t476 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t460)) % 65.02/65.24 (define @t477 () (@list @t395 @t408 @t399 @t19)) % 65.02/65.24 (define @t478 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t349)) % 65.02/65.24 (define @t479 () (=> @t430 (= @t478 @t444))) % 65.02/65.24 (define @t480 () (=> @t86 (= @t478 @t448))) % 65.02/65.24 (define @t481 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t349 @t350)) % 65.02/65.24 (define @t482 () (tptp.c_member @t19 @t69 @t350)) % 65.02/65.24 (define @t483 () (=> (not @t482) (= @t481 @t452))) % 65.02/65.24 (define @t484 () (=> @t482 (= @t481 (tptp.c_Set_Oinsert @t19 @t69 @t452)))) % 65.02/65.24 (define @t485 () (@list @t17 @t350 @t69 @t19)) % 65.02/65.24 (define @t486 () (tptp.c_Relation_Oconverse @t19 @t19 @t56)) % 65.02/65.24 (define @t487 () (tptp.tc_fun @t45 tptp.tc_HOL_Obool)) % 65.02/65.24 (define @t488 () (tptp.c_Orderings_Obot__class_Obot @t487)) % 65.02/65.24 (define @t489 () (tptp.c_Wellfounded_Owf @t19 @t44)) % 65.02/65.24 (define @t490 () (tptp.c_Relation_OImage @t19 @t19 @t56 @t422)) % 65.02/65.24 (define @t491 () (tptp.c_Relation_OImage @t19 @t19 @t56 @t432)) % 65.02/65.24 (define @t492 () (= @t491 @t490)) % 65.02/65.24 (define @t493 () (tptp.c_member @t19 @t67 @t387)) % 65.02/65.24 (define @t494 () (tptp.c_member @t19 @t69 @t387)) % 65.02/65.24 (define @t495 () (=> @t494 (=> @t493 (= @t492 @t88)))) % 65.02/65.24 (define @t496 () (tptp.c_Relation_OImage @t45 @t19 @t44 @t17)) % 65.02/65.24 (define @t497 () (tptp.c_Relation_OImage @t45 @t19 @t44 @t21)) % 65.02/65.24 (define @t498 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t497 @t496)) % 65.02/65.24 (define @t499 () (tptp.c_Relation_OImage @t45 @t19 @t44 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t487 @t21 @t17))) % 65.02/65.24 (define @t500 () (@list @t17 @t21 @t44 @t45 @t19)) % 65.02/65.24 (define @t501 () (tptp.c_Relation_Oconverse @t45 @t19 @t162)) % 65.02/65.24 (define @t502 () (tptp.c_Relation_Oconverse @t45 @t19 @t56)) % 65.02/65.24 (define @t503 () (@list @t162 @t56 @t19 @t45)) % 65.02/65.24 (define @t504 () (tptp.c_Relation_Oconverse @t19 @t19 @t289)) % 65.02/65.24 (define @t505 () (tptp.c_Transitive__Closure_Otrancl @t19 @t486)) % 65.02/65.24 (define @t506 () (tptp.c_Relation_Oconverse @t19 @t45 @t56)) % 65.02/65.24 (define @t507 () (tptp.c_Transitive__Closure_Ortrancl @t19 @t486)) % 65.02/65.24 (define @t508 () (tptp.c_Product__Type_OPair @t45 @t19 @t67 @t69)) % 65.02/65.24 (define @t509 () (tptp.c_member @t280 @t508 @t56)) % 65.02/65.24 (define @t510 () (tptp.c_member @t47 @t73 @t502)) % 65.02/65.24 (define @t511 () (tptp.c_Relation_ODomain @t19 @t45 @t502)) % 65.02/65.24 (define @t512 () (tptp.c_member @t45 @t3 @t21)) % 65.02/65.24 (define @t513 () (tptp.c_member @t19 @t67 (tptp.c_Relation_OImage @t45 @t19 @t56 @t21))) % 65.02/65.24 (define @t514 () (@list @t21 @t56 @t45 @t67 @t19)) % 65.02/65.24 (define @t515 () (tptp.c_Relation_OImage @t19 @t45 @t56 @t21)) % 65.02/65.24 (define @t516 () (tptp.c_member @t58 @t222 @t507)) % 65.02/65.24 (define @t517 () (tptp.c_member @t58 @t313 @t204)) % 65.02/65.24 (define @t518 () (@list @t56 @t28 @t29 @t19)) % 65.02/65.24 (define @t519 () (tptp.c_member @t58 @t222 @t505)) % 65.02/65.24 (define @t520 () (tptp.c_member @t58 @t222 @t504)) % 65.02/65.24 (define @t521 () (tptp.c_Order__Relation_Opartial__order__on @t19 @t21 @t56)) % 65.02/65.24 (define @t522 () (tptp.c_Order__Relation_Olinear__order__on @t19 @t21 @t56)) % 65.02/65.24 (define @t523 () (tptp.c_Order__Relation_Opreorder__on @t19 @t21 @t56)) % 65.02/65.24 (define @t524 () (tptp.c_Equiv__Relations_Oequiv @t19 @t21 @t56)) % 65.02/65.24 (define @t525 () (@list @t67 @t69 @t56 @t21 @t19)) % 65.02/65.24 (define @t526 () (tptp.c_Set_Oinsert @t19 @t28 @t421)) % 65.02/65.24 (define @t527 () (tptp.c_Relation_OImage @t19 @t19 @t56 @t440)) % 65.02/65.24 (define @t528 () (= @t527 (tptp.c_Relation_OImage @t19 @t19 @t56 @t526))) % 65.02/65.24 (define @t529 () (=> @t87 @t180)) % 65.02/65.24 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t491 @t490)) % 65.02/65.24 (define @t531 () (tptp.c_Order__Relation_Opreorder__on @t19 @t387 @t56)) % 65.02/65.24 (define @t532 () (tptp.c_Equiv__Relations_Oquotient @t19 @t440 @t56)) % 65.02/65.24 (define @t533 () (tptp.class_Orderings_Opreorder @t19)) % 65.02/65.24 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t17 @t21)) % 65.02/65.24 (define @t535 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t17)) % 65.02/65.24 (define @t536 () (=> @t22 @t20)) % 65.02/65.24 (define @t537 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t328 tptp.tc_HOL_Obool))) % 65.02/65.24 (define @t538 () (tptp.c_Equiv__Relations_Oquotient @t19 @t21 @t56)) % 65.02/65.24 (define @t539 () (@var "V_D_2" $$unsorted)) % 65.02/65.24 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t17 @t539)) % 65.02/65.24 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t350)) % 65.02/65.24 (define @t542 () (@list @t539 @t17 @t350 @t21 @t19)) % 65.02/65.24 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t350 @t21)) % 65.02/65.24 (define @t544 () (@list @t17 @t21 @t350 @t19)) % 65.02/65.24 (define @t545 () (@list @t21 @t17 @t19)) % 65.02/65.24 (define @t546 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t79)) % 65.02/65.24 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t81)) % 65.02/65.24 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t466)) % 65.02/65.24 (define @t549 () (@list @t79 @t81 @t395 @t19)) % 65.02/65.24 (define @t550 () (@var "V_d" $$unsorted)) % 65.02/65.24 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t79 @t550)) % 65.02/65.24 (define @t552 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t81 @t405)) % 65.02/65.24 (define @t553 () (@list @t550 @t79 @t405 @t81 @t19)) % 65.02/65.24 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t408)) % 65.02/65.24 (define @t555 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t399)) % 65.02/65.24 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t399 @t395)) % 65.02/65.24 (define @t557 () (@list @t395 @t399 @t19)) % 65.02/65.24 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t466 @t395)) % 65.02/65.24 (define @t559 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t79 @t395)) % 65.02/65.24 (define @t560 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t81 @t395)) % 65.02/65.24 (define @t561 () (@list @t79 @t395 @t81 @t19)) % 65.02/65.24 (define @t562 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t29 @t32)) % 65.02/65.24 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t29 @t28)) % 65.02/65.24 (define @t564 () (@list @t32 @t28 @t29 @t19)) % 65.02/65.24 (define @t565 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t462 @t399)) % 65.02/65.24 (define @t566 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t462 @t395)) % 65.02/65.24 (define @t567 () (@var "V_A_H_2" $$unsorted)) % 65.02/65.24 (define @t568 () (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t56 @t162)) % 65.02/65.24 (define @t569 () (tptp.c_Orderings_Oord__class_Oless__eq @t361 @t56 @t162)) % 65.02/65.24 (define @t570 () (@list @t162 @t56 @t45 @t19)) % 65.02/65.24 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t401)) % 65.02/65.24 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t399 @t401)) % 65.02/65.24 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t397)) % 65.02/65.24 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t397 @t395)) % 65.02/65.24 (define @t575 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t408 @t395)) % 65.02/65.24 (define @t576 () (@list @t408 @t395 @t399 @t19)) % 65.02/65.24 (define @t577 () (= @t329 @t17)) % 65.02/65.24 (define @t578 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t17 @t350)) % 65.02/65.24 (define @t579 () (tptp.c_Transitive__Closure_Ortrancl @t19 @t162)) % 65.02/65.24 (define @t580 () (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t204 @t579)) % 65.02/65.24 (define @t581 () (@list @t19 @t17 @t21)) % 65.02/65.24 (define @t582 () (@var "V_R1_2" $$unsorted)) % 65.02/65.24 (define @t583 () (@var "V_R2_2" $$unsorted)) % 65.02/65.24 (define @t584 () (tptp.hAPP @t383 @t29)) % 65.02/65.24 (define @t585 () (tptp.hBOOL @t584)) % 65.02/65.24 (define @t586 () (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t49 @t383)) % 65.02/65.24 (define @t587 () (@list @t208 @t56 @t19)) % 65.02/65.24 (define @t588 () (tptp.class_Orderings_Olinorder @t19)) % 65.02/65.24 (define @t589 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t19 @t45) @t2 @t1)) % 65.02/65.24 (define @t590 () (tptp.class_Orderings_Oord @t45)) % 65.02/65.24 (define @t591 () (tptp.class_Orderings_Oorder @t19)) % 65.02/65.24 (define @t592 () (= @t395 @t399)) % 65.02/65.24 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t405 @t81)) % 65.02/65.24 (define @t594 () (= @t79 @t405)) % 65.02/65.24 (define @t595 () (tptp.class_Orderings_Oord @t19)) % 65.02/65.24 (define @t596 () (= @t81 @t79)) % 65.02/65.24 (define @t597 () (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t28 @t29)) % 65.02/65.24 (define @t598 () (@var "V_X_2" $$unsorted)) % 65.02/65.24 (define @t599 () (@var "V_Y_2" $$unsorted)) % 65.02/65.24 (define @t600 () (= @t598 @t599)) % 65.02/65.24 (define @t601 () (tptp.c_member @t328 @t599 @t538)) % 65.02/65.24 (define @t602 () (tptp.c_member @t328 @t598 @t538)) % 65.02/65.24 (define @t603 () (tptp.c_member @t19 @t28 @t599)) % 65.02/65.24 (define @t604 () (tptp.c_member @t19 @t29 @t598)) % 65.02/65.24 (define @t605 () (@list @t28 @t29 @t599 @t598 @t56 @t21 @t19)) % 65.02/65.24 (define @t606 () (@var "V_r2_2" $$unsorted)) % 65.02/65.24 (define @t607 () (@var "V_r1_2" $$unsorted)) % 65.02/65.24 (define @t608 () (tptp.c_Equiv__Relations_Ocongruent2 @t19 @t45 @t151 @t607 @t606 @t2)) % 65.02/65.24 (define @t609 () (tptp.c_Wellfounded_Omlex__prod @t19 @t2 @t44)) % 65.02/65.24 (define @t610 () (tptp.hBOOL (tptp.hAPP @t584 @t28))) % 65.02/65.24 (define @t611 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t19 @t487) @t49 @t383)) % 65.02/65.24 (define @t612 () (tptp.hBOOL (tptp.hAPP @t54 @t28))) % 65.02/65.24 (define @t613 () (@var "V_z2_2" $$unsorted)) % 65.02/65.24 (define @t614 () (@var "V_z1_2" $$unsorted)) % 65.02/65.24 (define @t615 () (@var "V_y2_2" $$unsorted)) % 65.02/65.24 (define @t616 () (@var "V_y1_2" $$unsorted)) % 65.02/65.24 (define @t617 () (@var "B_A" $$unsorted)) % 65.02/65.24 (define @t618 () (tptp.c_Groups_Ominus__class_Ominus @t328 @t21 @t17)) % 65.02/65.24 (define @t619 () (tptp.c_member @t19 @t18 @t618)) % 65.02/65.24 (define @t620 () (tptp.c_Groups_Ominus__class_Ominus @t328 @t17 @t21)) % 65.02/65.24 (define @t621 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t620)) % 65.02/65.24 (define @t622 () (tptp.c_Groups_Ominus__class_Ominus @t328 @t21 @t350)) % 65.02/65.24 (define @t623 () (@var "T_1" $$unsorted)) % 65.02/65.24 (define @t624 () (@var "T_2" $$unsorted)) % 65.02/65.24 (define @t625 () (tptp.tc_fun @t624 @t623)) % 65.02/65.24 (define @t626 () (tptp.class_Lattices_Obounded__lattice @t623)) % 65.02/65.24 (define @t627 () (@list @t624 @t623)) % 65.02/65.24 (define @t628 () (tptp.class_Lattices_Olattice @t623)) % 65.02/65.24 (define @t629 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t29) @t28))) % 65.02/65.24 (define @t630 () (@list @t28 @t29)) % 65.02/65.24 (define @t631 () (tptp.hAPP tptp.v_F tptp.v_P_H____)) % 65.02/65.24 (define @t632 () (tptp.c_member @t10 @t9 @t631)) % 65.02/65.24 (define @t633 () (tptp.hAPP tptp.v_F tptp.v_P____)) % 65.02/65.24 (define @t634 () (tptp.c_member @t10 @t13 @t633)) % 65.02/65.24 (define @t635 () (= @t634 @t632)) % 65.02/65.24 (define @t636 () (not @t128)) % 65.02/65.24 (define @t637 () (not @t102)) % 65.02/65.24 (define @t638 () (not @t104)) % 65.02/65.24 (define @t639 () (= @t68 @t67)) % 65.02/65.24 (define @t640 () (= @t66 @t69)) % 65.02/65.24 (define @t641 () (= @t66 @t68)) % 65.02/65.24 (define @t642 () (or @t437 @t641 @t640 @t639 @t638 @t637 @t636 @t141)) % 65.02/65.24 (define @t643 () (or @t641 @t640 @t639 @t638 @t637 @t636 @t141)) % 65.02/65.24 (define @t644 () (or @t640 @t639 @t638 @t637 @t636 @t141)) % 65.02/65.24 (define @t645 () (or @t639 @t638 @t637 @t636 @t141)) % 65.02/65.24 (define @t646 () (or @t638 @t637 @t636 @t141)) % 65.02/65.24 (define @t647 () (or @t637 @t636 @t141)) % 65.02/65.24 (define @t648 () (not @t639)) % 65.02/65.24 (define @t649 () (not @t648)) % 65.02/65.24 (define @t650 () (=> @t648 @t144)) % 65.02/65.24 (define @t651 () (not @t640)) % 65.02/65.24 (define @t652 () (not @t651)) % 65.02/65.24 (define @t653 () (=> @t651 @t650)) % 65.02/65.24 (define @t654 () (not @t641)) % 65.02/65.24 (define @t655 () (not @t654)) % 65.02/65.24 (define @t656 () (=> @t654 @t653)) % 65.02/65.24 (define @t657 () (not @t437)) % 65.02/65.24 (define @t658 () (not @t657)) % 65.02/65.24 (define @t659 () (not @t16)) % 65.02/65.24 (define @t660 () (not @t43)) % 65.02/65.24 (define @t661 () (not @t42)) % 65.02/65.24 (define @t662 () (= tptp.v_b_H____ tptp.v_a_H____)) % 65.02/65.24 (define @t663 () (= tptp.v_b____ tptp.v_a____)) % 65.02/65.24 (define @t664 () (= tptp.v_a_H____ tptp.v_b____)) % 65.02/65.24 (define @t665 () (= tptp.v_b_H____ tptp.v_a____)) % 65.02/65.24 (define @t666 () (or @t663 @t662 @t665 @t664 @t661 @t660 @t659 @t635)) % 65.02/65.24 (define @t667 () (forall @t139 @t642)) % 65.02/65.24 (define @t668 () (@list tptp.v_P_H____ tptp.v_P____ tptp.v_b_H____ tptp.v_a_H____ tptp.v_b____ tptp.v_a____)) % 65.02/65.24 (define @t669 () (= tptp.v_b____ tptp.v_a_H____)) % 65.02/65.24 (define @t670 () (= tptp.v_a____ tptp.v_b_H____)) % 65.02/65.24 (define @t671 () (or @t663 @t662 @t670 @t669 @t661 @t660 @t659 @t635)) % 65.02/65.24 (define @t672 () (@list false)) % 65.02/65.24 (define @t673 () (not @t670)) % 65.02/65.24 (define @t674 () (= tptp.v_b____ tptp.v_b_H____)) % 65.02/65.24 (define @t675 () (not @t674)) % 65.02/65.24 (define @t676 () (not @t663)) % 65.02/65.24 (define @t677 () (= false true)) % 65.02/65.24 (define @t678 () (and @t670 @t674 @t676)) % 65.02/65.24 (define @t679 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b_H____ tptp.v_a_H____)) % 65.02/65.24 (define @t680 () (= @t13 @t679)) % 65.02/65.24 (define @t681 () (tptp.c_member @t10 @t679 @t633)) % 65.02/65.24 (define @t682 () (and @t634 @t680)) % 65.02/65.24 (define @t683 () (= @t632 @t681)) % 65.02/65.24 (define @t684 () (not @t683)) % 65.02/65.24 (define @t685 () (not @t681)) % 65.02/65.24 (define @t686 () (not @t100)) % 65.02/65.24 (define @t687 () (or @t638 @t637 @t686 @t97)) % 65.02/65.24 (define @t688 () (or @t637 @t686 @t97)) % 65.02/65.24 (define @t689 () (forall @t15 (= @t11 (tptp.c_member @t10 @t679 @t12)))) % 65.02/65.24 (define @t690 () (not @t689)) % 65.02/65.24 (define @t691 () (or @t662 @t660 @t661 @t690 @t683)) % 65.02/65.24 (define @t692 () (@quantifiers_skolemize @t689 0)) % 65.02/65.24 (define @t693 () (tptp.hAPP tptp.v_P____ @t692)) % 65.02/65.24 (define @t694 () (tptp.c_member @t10 @t679 @t693)) % 65.02/65.24 (define @t695 () (tptp.c_member @t10 @t9 (tptp.hAPP tptp.v_P_H____ @t692))) % 65.02/65.24 (define @t696 () (= @t695 @t694)) % 65.02/65.24 (define @t697 () (not @t696)) % 65.02/65.24 (define @t698 () (tptp.c_member @t10 @t13 @t693)) % 65.02/65.24 (define @t699 () (= @t698 @t695)) % 65.02/65.24 (define @t700 () (= @t695 @t698)) % 65.02/65.24 (define @t701 () (@list @t16)) % 65.02/65.24 (define @t702 () (not @t700)) % 65.02/65.24 (define @t703 () (not @t695)) % 65.02/65.24 (define @t704 () (not @t698)) % 65.02/65.24 (define @t705 () (not @t680)) % 65.02/65.24 (define @t706 () (not @t694)) % 65.02/65.24 (define @t707 () (and @t680 @t706)) % 65.02/65.24 (define @t708 () (@list false false true)) % 65.02/65.24 (define @t709 () (and @t680 @t694)) % 65.02/65.24 (define @t710 () (not @t634)) % 65.02/65.24 (define @t711 () (and @t665 @t664)) % 65.02/65.24 (define @t712 () (= @t680 @t711)) % 65.02/65.24 (define @t713 () (forall @t76 (= @t74 (and (= @t68 @t69) (= @t66 @t67))))) % 65.02/65.24 (define @t714 () (and @t670 @t669)) % 65.02/65.24 (define @t715 () (= @t680 @t714)) % 65.02/65.24 (define @t716 () (not @t669)) % 65.02/65.24 (define @t717 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b_H____ tptp.v_b____)) % 65.02/65.24 (define @t718 () (tptp.c_member @t10 @t717 @t633)) % 65.02/65.24 (define @t719 () (and @t634 @t670)) % 65.02/65.24 (define @t720 () (= @t632 @t718)) % 65.02/65.24 (define @t721 () (not @t720)) % 65.02/65.24 (define @t722 () (not @t718)) % 65.02/65.24 (define @t723 () (not @t112)) % 65.02/65.24 (define @t724 () (= @t18 @t69)) % 65.02/65.24 (define @t725 () (= @t18 @t67)) % 65.02/65.24 (define @t726 () (or @t437 @t725 @t724 @t638 @t637 @t723 @t111)) % 65.02/65.24 (define @t727 () (or @t725 @t724 @t638 @t637 @t723 @t111)) % 65.02/65.24 (define @t728 () (or @t724 @t638 @t637 @t723 @t111)) % 65.02/65.24 (define @t729 () (or @t638 @t637 @t723 @t111)) % 65.02/65.24 (define @t730 () (or @t637 @t723 @t111)) % 65.02/65.24 (define @t731 () (not @t724)) % 65.02/65.24 (define @t732 () (=> @t731 @t115)) % 65.02/65.24 (define @t733 () (not @t725)) % 65.02/65.24 (define @t734 () (=> @t733 @t732)) % 65.02/65.24 (define @t735 () (forall @t15 (= @t11 (tptp.c_member @t10 @t717 @t12)))) % 65.02/65.24 (define @t736 () (not @t735)) % 65.02/65.24 (define @t737 () (or @t662 @t674 @t669 @t660 @t661 @t736 @t720)) % 65.02/65.24 (define @t738 () (@quantifiers_skolemize @t735 0)) % 65.02/65.24 (define @t739 () (tptp.hAPP tptp.v_P____ @t738)) % 65.02/65.24 (define @t740 () (tptp.c_member @t10 @t717 @t739)) % 65.02/65.24 (define @t741 () (tptp.c_member @t10 @t9 (tptp.hAPP tptp.v_P_H____ @t738))) % 65.02/65.24 (define @t742 () (= @t741 @t740)) % 65.02/65.24 (define @t743 () (not @t742)) % 65.02/65.24 (define @t744 () (tptp.c_member @t10 @t13 @t739)) % 65.02/65.24 (define @t745 () (= @t744 @t741)) % 65.02/65.24 (define @t746 () (= @t741 @t744)) % 65.02/65.24 (define @t747 () (not @t746)) % 65.02/65.24 (define @t748 () (not @t741)) % 65.02/65.24 (define @t749 () (not @t744)) % 65.02/65.24 (define @t750 () (not @t740)) % 65.02/65.24 (define @t751 () (and @t670 @t750)) % 65.02/65.24 (define @t752 () (and @t670 @t740)) % 65.02/65.24 (define @t753 () (not @t96)) % 65.02/65.24 (define @t754 () (or @t437 @t641 @t640 @t639 @t638 @t637 @t636 @t753 @t126)) % 65.02/65.24 (define @t755 () (or @t641 @t640 @t639 @t638 @t637 @t636 @t753 @t126)) % 65.02/65.24 (define @t756 () (or @t640 @t639 @t638 @t637 @t636 @t753 @t126)) % 65.02/65.24 (define @t757 () (or @t639 @t638 @t637 @t636 @t753 @t126)) % 65.02/65.24 (define @t758 () (or @t638 @t637 @t636 @t753 @t126)) % 65.02/65.24 (define @t759 () (or @t637 @t636 @t753 @t126)) % 65.02/65.24 (define @t760 () (or @t636 @t753 @t126)) % 65.02/65.24 (define @t761 () (=> @t648 @t131)) % 65.02/65.24 (define @t762 () (=> @t651 @t761)) % 65.02/65.24 (define @t763 () (=> @t654 @t762)) % 65.02/65.24 (define @t764 () (or @t663 @t662 @t665 @t664 @t661 @t660 @t659 @t710 @t632)) % 65.02/65.24 (define @t765 () (forall @t139 @t754)) % 65.02/65.24 (define @t766 () (or @t663 @t662 @t670 @t669 @t661 @t660 @t659 @t710 @t632)) % 65.02/65.24 (define @t767 () (not @t662)) % 65.02/65.24 (define @t768 () (and @t669 @t674 @t767)) % 65.02/65.24 (define @t769 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_b_H____)) % 65.02/65.24 (define @t770 () (tptp.c_member @t10 @t769 @t631)) % 65.02/65.24 (define @t771 () (not @t770)) % 65.02/65.24 (define @t772 () (not @t632)) % 65.02/65.24 (define @t773 () (and @t772 @t669)) % 65.02/65.24 (define @t774 () (= @t634 @t770)) % 65.02/65.24 (define @t775 () (not @t774)) % 65.02/65.24 (define @t776 () (forall @t15 (= @t14 (tptp.c_member @t10 @t769 @t8)))) % 65.02/65.24 (define @t777 () (not @t776)) % 65.02/65.24 (define @t778 () (or @t663 (= tptp.v_b_H____ tptp.v_b____) @t665 @t661 @t660 @t777 @t774)) % 65.02/65.24 (define @t779 () (forall @t123 @t726)) % 65.02/65.24 (define @t780 () (or @t663 @t674 @t670 @t661 @t660 @t777 @t774)) % 65.02/65.24 (define @t781 () (@quantifiers_skolemize @t776 0)) % 65.02/65.24 (define @t782 () (tptp.hAPP tptp.v_P_H____ @t781)) % 65.02/65.24 (define @t783 () (tptp.c_member @t10 @t769 @t782)) % 65.02/65.24 (define @t784 () (tptp.c_member @t10 @t13 (tptp.hAPP tptp.v_P____ @t781))) % 65.02/65.24 (define @t785 () (= @t784 @t783)) % 65.02/65.24 (define @t786 () (not @t785)) % 65.02/65.24 (define @t787 () (tptp.c_member @t10 @t9 @t782)) % 65.02/65.24 (define @t788 () (= @t784 @t787)) % 65.02/65.24 (define @t789 () (not @t788)) % 65.02/65.24 (define @t790 () (not @t784)) % 65.02/65.24 (define @t791 () (not @t787)) % 65.02/65.24 (define @t792 () (not @t783)) % 65.02/65.24 (define @t793 () (and @t669 @t792)) % 65.02/65.24 (define @t794 () (and @t669 @t783)) % 65.02/65.24 (define @t795 () (and @t710 @t670)) % 65.02/65.24 (define @t796 () (@list true)) % 65.02/65.24 (define @t797 () (@list true false false true)) % 65.02/65.24 (define @t798 () (tptp.c_FunDef_Oin__rel tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t633)) % 65.02/65.24 (define @t799 () (tptp.hAPP @t798 tptp.v_b_H____)) % 65.02/65.24 (define @t800 () (tptp.hAPP @t799 tptp.v_a_H____)) % 65.02/65.24 (define @t801 () (tptp.hBOOL @t800)) % 65.02/65.24 (define @t802 () (= @t801 @t681)) % 65.02/65.24 (define @t803 () (= @t681 @t801)) % 65.02/65.24 (define @t804 () (@list @t48)) % 65.02/65.24 (define @t805 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t798 tptp.v_a____) tptp.v_b____))) % 65.02/65.24 (define @t806 () (= @t805 @t634)) % 65.02/65.24 (define @t807 () (= @t634 @t805)) % 65.02/65.24 (define @t808 () (not @t805)) % 65.02/65.24 (define @t809 () (@list true false)) % 65.02/65.24 (define @t810 () (not @t801)) % 65.02/65.24 (define @t811 () (and @t670 @t669 @t808)) % 65.02/65.24 (define @t812 () (and @t632 @t669)) % 65.02/65.24 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 65.02/65.24 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 65.02/65.24 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 65.02/65.24 (assume @p4 (not (= tptp.v_a____ tptp.v_b____))) % 65.02/65.24 (assume @p5 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 65.02/65.24 (assume @p6 @t16) % 65.02/65.24 (assume @p7 (forall (@list @t18 @t19 @t17 @t21) (=> @t26 (=> @t25 (not @t23))))) % 65.02/65.24 (assume @p8 (forall @t39 (= (tptp.c_member @t10 @t30 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t27 @t32)) (and @t38 (=> @t33 @t36) (=> @t34 @t31))))) % 65.02/65.24 (assume @p9 (forall @t39 (= (tptp.c_member @t10 @t30 (tptp.c_Arrow__Order__Mirabelle_Omktop @t27 @t32)) (and @t34 (=> @t37 @t36) (=> @t38 @t31))))) % 65.02/65.24 (assume @p10 @t42) % 65.02/65.24 (assume @p11 @t43) % 65.02/65.24 (assume @p12 @t48) % 65.02/65.24 (assume @p13 (forall (@list @t19 @t44 @t28 @t51 @t45 @t29 @t49) (=> @t55 (=> (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t45 @t45 @t51 @t28) (tptp.hAPP @t44 @t29)) (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 (tptp.c_Product__Type_OPair @t19 @t45 @t29 @t51) @t46) @t50))))) % 65.02/65.24 (assume @p14 (forall @t60 (= (tptp.c_Nitpick_Orefl_H @t19 @t56) (forall @t6 @t59)))) % 65.02/65.24 (assume @p15 (forall (@list @t45 @t19 @t49) (= (forall (@list @t65) (tptp.hBOOL (tptp.hAPP @t49 @t65))) (forall @t64 (tptp.hBOOL (tptp.hAPP @t49 @t63)))))) % 65.02/65.24 (assume @p16 @t77) % 65.02/65.24 (assume @p17 (forall (@list @t78 @t80 @t79 @t81 @t45 @t19) (=> (= (tptp.c_Product__Type_OPair @t19 @t45 @t81 @t79) (tptp.c_Product__Type_OPair @t19 @t45 @t80 @t78)) (not (=> (= @t81 @t80) (not (= @t79 @t78))))))) % 65.02/65.24 (assume @p18 (forall @t85 (= @t84 @t83))) % 65.02/65.24 (assume @p19 (forall @t89 (=> @t88 (=> @t87 @t86)))) % 65.02/65.24 (assume @p20 (forall (@list @t21 @t19 @t28 @t29) (=> @t35 (= @t84 @t90)))) % 65.02/65.24 (assume @p21 (forall (@list @t29 @t19 @t17 @t21) (=> @t26 (= @t84 @t91)))) % 65.02/65.24 (assume @p22 @t109) % 65.02/65.24 (assume @p23 @t124) % 65.02/65.24 (assume @p24 @t140) % 65.02/65.24 (assume @p25 @t149) % 65.02/65.24 (assume @p26 (forall (@list @t67 @t69 @t150 @t19 @t151 @t45) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t45 @t151 @t19 @t150 @t152) (tptp.hAPP (tptp.hAPP @t150 @t69) @t67)))) % 65.02/65.24 (assume @p27 (forall @t161 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t154) (forall @t6 (=> @t160 (forall @t159 (=> (tptp.c_member @t41 @t153 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t64 (=> (forall @t15 (= @t158 (tptp.c_member @t10 @t155 (tptp.hAPP @t153 @t7)))) (= @t157 (tptp.c_member @t10 @t155 (tptp.hAPP @t154 @t153)))))))))))) % 65.02/65.24 (assume @p28 (forall @t161 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t154) (forall @t6 (=> @t160 (forall @t64 (=> (forall @t15 @t158) @t157))))))) % 65.02/65.24 (assume @p29 (forall (@list @t162 @t56 @t66 @t68 @t67 @t69 @t45 @t19) (= (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t73 @t72) (tptp.c_Wellfounded_Olex__prod @t19 @t45 @t56 @t162)) (or (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t68) @t56) (and @t70 (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t45 @t45 @t67 @t66) @t162)))))) % 65.02/65.24 (assume @p30 (forall (@list @t163 @t154) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t154 @t163) (forall @t6 (=> @t160 (= @t156 (tptp.hAPP @t3 @t163))))))) % 65.02/65.24 (assume @p31 (forall (@list @t67 @t69 @t18 @t19 @t151 @t45) (= (tptp.c_Product__Type_Ointernal__split @t45 @t151 @t19 @t18 @t152) (tptp.hAPP (tptp.hAPP @t18 @t69) @t67)))) % 65.02/65.24 (assume @p32 (forall @t173 (= (tptp.c_Recdef_Owfrec__rel @t19 @t45 @t44 @t154 @t166 @t171) (exists @t172 (and (= @t171 @t169) @t168))))) % 65.02/65.24 (assume @p33 (forall @t173 (= (tptp.c_Recdef_Owfrec__rel @t19 @t45 @t44 @t154 @t166 @t170) (exists @t172 (and (= @t170 @t169) @t168))))) % 65.02/65.24 (assume @p34 (forall (@list @t1 @t154 @t45 @t44 @t29 @t19) (=> (forall @t167 (=> @t174 (tptp.c_Recdef_Owfrec__rel @t19 @t45 @t44 @t154 @t164 (tptp.hAPP @t1 @t164)))) (tptp.c_Recdef_Owfrec__rel @t19 @t45 @t44 @t154 @t29 (tptp.hAPP (tptp.hAPP @t154 @t1) @t29))))) % 65.02/65.24 (assume @p35 (forall @t178 (= @t177 (forall @t6 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t3 @t69) @t56) @t176))))) % 65.02/65.24 (assume @p36 (forall (@list @t69 @t56 @t67 @t19) (=> @t181 (=> @t180 @t177)))) % 65.02/65.24 (assume @p37 (forall (@list @t28 @t29 @t27) (=> @t182 (=> @t36 (= (not @t31) (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t28 @t29) @t27)))))) % 65.02/65.24 (assume @p38 (forall (@list @t67 @t69 @t27) (=> @t182 (=> (tptp.c_member @t10 @t95 @t27) (not (tptp.c_member @t10 @t94 @t27)))))) % 65.02/65.24 (assume @p39 (forall (@list @t67 @t69 @t45 @t19 @t2) (=> @t184 @t183))) % 65.02/65.24 (assume @p40 (forall (@list @t45 @t69 @t29 @t19 @t185 @t186) (=> (tptp.c_member @t58 @t187 @t186) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t19 @t45 @t185 @t186 @t69) @t29) (tptp.hAPP @t185 @t29))))) % 65.02/65.24 (assume @p41 (forall (@list @t1 @t29 @t56 @t2 @t45 @t19) (= (= (tptp.c_Recdef_Ocut @t19 @t45 @t2 @t56 @t29) (tptp.c_Recdef_Ocut @t19 @t45 @t1 @t56 @t29)) (forall @t190 (=> @t189 (= (tptp.hAPP @t2 @t188) (tptp.hAPP @t1 @t188))))))) % 65.02/65.24 (assume @p42 (forall (@list @t2 @t45 @t56 @t69 @t29 @t19) (=> @t193 (= (tptp.hAPP @t192 @t29) @t191)))) % 65.02/65.24 (assume @p43 (forall (@list @t67 @t69 @t2 @t45 @t19) (=> @t183 @t184))) % 65.02/65.24 (assume @p44 (forall (@list @t67 @t69 @t2 @t19 @t151 @t45) (= (tptp.c_Product__Type_Ocurry @t45 @t151 @t19 @t2 @t69 @t67) (tptp.hAPP @t2 @t152)))) % 65.02/65.24 (assume @p45 (forall @t194 (=> @t182 (tptp.c_member @t40 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t27 @t29) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 65.02/65.24 (assume @p46 (forall @t194 (=> @t182 (tptp.c_member @t40 (tptp.c_Arrow__Order__Mirabelle_Omktop @t27 @t29) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 65.02/65.24 (assume @p47 (forall @t198 (=> @t106 (=> @t182 (= (tptp.c_member @t10 @t30 (tptp.c_Arrow__Order__Mirabelle_Obelow @t27 @t69 @t67)) (and @t36 (=> @t197 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t29 @t67) @t27)) (=> (not @t197) (and (=> @t195 (or @t196 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t67 @t28) @t27))) (=> (not @t195) @t31))))))))) % 65.02/65.24 (assume @p48 (forall @t198 (=> @t106 (=> @t182 (= (tptp.c_member @t10 @t30 (tptp.c_Arrow__Order__Mirabelle_Oabove @t27 @t69 @t67)) (and @t36 (=> @t199 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t69 @t28) @t27)) (=> (not @t199) (and (=> @t196 (or @t195 (tptp.c_member @t10 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t29 @t69) @t27))) (=> (not @t196) @t31))))))))) % 65.02/65.24 (assume @p49 (forall @t200 (=> @t36 (=> @t182 (tptp.c_member @t40 (tptp.c_Arrow__Order__Mirabelle_Obelow @t27 @t29 @t28) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 65.02/65.24 (assume @p50 (forall @t200 (=> @t36 (=> @t182 (tptp.c_member @t40 (tptp.c_Arrow__Order__Mirabelle_Oabove @t27 @t29 @t28) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 65.02/65.24 (assume @p51 (forall (@list @t44 @t29 @t19) (=> (not (tptp.c_member @t19 @t29 @t201)) (not (forall @t167 (=> @t174 (tptp.c_member @t19 @t164 @t201))))))) % 65.02/65.24 (assume @p52 (forall @t203 (=> (forall @t190 (=> @t189 (tptp.c_member @t19 @t188 @t175))) @t202))) % 65.02/65.24 (assume @p53 (forall (@list @t67 @t69) (=> @t106 (exists @t6 (and (tptp.c_member @t40 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t10 @t95 @t3)))))) % 65.02/65.24 (assume @p54 (forall (@list @t56 @t69 @t67 @t19) (=> @t206 (=> @t177 @t181)))) % 65.02/65.24 (assume @p55 (forall (@list @t67 @t56 @t69 @t19) (=> @t177 (=> @t206 @t181)))) % 65.02/65.24 (assume @p56 (forall (@list @t29 @t154 @t44 @t19 @t45) (= (tptp.c_Nitpick_Owf__wfrec_H @t45 @t19 @t44 @t154 @t29) (tptp.hAPP (tptp.hAPP @t154 (tptp.c_Recdef_Ocut @t45 @t19 (tptp.c_Nitpick_Owf__wfrec @t45 @t19 @t44 @t154) @t44 @t29)) @t29)))) % 65.02/65.24 (assume @p57 (forall @t178 (tptp.c_member @t58 @t207 @t204))) % 65.02/65.24 (assume @p58 (forall @t210 (=> @t209 (tptp.c_member @t58 @t208 @t204)))) % 65.02/65.24 (assume @p59 (forall @t216 (=> @t180 @t215))) % 65.02/65.24 (assume @p60 (forall @t216 (=> @t218 (=> @t217 @t212)))) % 65.02/65.24 (assume @p61 (forall @t216 (=> @t218 @t215))) % 65.02/65.24 (assume @p62 (forall @t60 (= (tptp.c_Transitive__Closure_Ortrancl @t19 @t204) @t204))) % 65.02/65.24 (assume @p63 (exists (@list @t219) (tptp.c_member @t40 @t219 tptp.c_Arrow__Order__Mirabelle_OLin))) % 65.02/65.24 (assume @p64 (forall @t220 (= (tptp.c_member @t19 @t29 (tptp.c_fequal @t28)) @t35))) % 65.02/65.24 (assume @p65 (forall (@list @t28 @t44 @t29 @t19) (=> (not (tptp.c_member @t19 @t29 (tptp.c_Relation_ODomain @t19 @t19 @t44))) (= @t223 @t35)))) % 65.02/65.24 (assume @p66 (forall @t227 (=> @t226 @t225))) % 65.02/65.24 (assume @p67 (forall @t229 (= @t225 (exists @t190 @t228)))) % 65.02/65.24 (assume @p68 (forall (@list @t32 @t28 @t29 @t56 @t19) (=> (tptp.c_Relation_Osingle__valued @t19 @t19 @t56) (=> @t233 (=> @t232 (or (tptp.c_member @t58 @t230 @t204) (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t32 @t28) @t204))))))) % 65.02/65.24 (assume @p69 (forall @t250 (=> @t249 (=> @t247 (=> (forall @t64 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t246 @t63) @t243) (forall (@list @t238 @t237) (=> @t242 (=> @t240 @t239))))) @t236))))) % 65.02/65.24 (assume @p70 (forall @t250 (=> @t249 (=> @t236 (=> (forall (@list @t62 @t61 @t238 @t237) (=> @t242 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t241 @t248) @t243) (=> @t239 @t240)))) @t247))))) % 65.02/65.24 (assume @p71 (forall (@list @t56 @t251 @t252 @t254 @t255 @t45 @t19) (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t256 @t253) @t243) (=> (not (= @t256 @t253)) (not (forall @t64 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t256 @t63) @t56) (not (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t47 @t47 @t63 @t253) @t243))))))))) % 65.02/65.24 (assume @p72 (forall @t229 (=> @t225 (not (forall @t190 (not @t228)))))) % 65.02/65.24 (assume @p73 (forall @t258 (=> @t218 (=> @t106 (not (forall @t190 (=> @t257 (not (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t188 @t67) @t56))))))))) % 65.02/65.24 (assume @p74 (forall @t261 (=> @t232 (=> @t34 (not (forall @t190 (=> @t260 (not (tptp.c_member @t58 @t259 @t204))))))))) % 65.02/65.24 (assume @p75 (forall @t265 (= @t264 @t263))) % 65.02/65.24 (assume @p76 (forall (@list @t32 @t28 @t29 @t56 @t45 @t19) (=> @t264 (=> (tptp.c_member @t47 @t46 @t56) (=> (tptp.c_member @t47 (tptp.c_Product__Type_OPair @t19 @t45 @t29 @t32) @t56) @t37))))) % 65.02/65.24 (assume @p77 (forall @t60 (= (tptp.c_Relation_Oirrefl @t19 @t56) (forall @t6 (not @t59))))) % 65.02/65.24 (assume @p78 (forall @t227 (=> @t226 (tptp.c_member @t45 @t67 (tptp.c_Relation_ORange @t19 @t45 @t56))))) % 65.02/65.24 (assume @p79 (forall @t267 (= (tptp.c_member @t58 @t222 @t266) (and @t35 @t84)))) % 65.02/65.24 (assume @p80 (forall @t89 (=> @t88 (=> @t86 (tptp.c_member @t58 @t179 @t266))))) % 65.02/65.24 (assume @p81 (forall @t265 (=> @t263 @t264))) % 65.02/65.24 (assume @p82 (forall @t273 (=> @t218 (=> @t272 (=> (forall @t190 (=> @t257 (forall @t167 (=> @t271 (=> @t270 @t269))))) @t268))))) % 65.02/65.24 (assume @p83 (forall @t273 (=> @t218 (=> @t268 (=> (forall (@list @t188 @t164) (=> @t271 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t164 @t67) @t204) (=> @t269 @t270)))) @t272))))) % 65.02/65.24 (assume @p84 (forall @t278 (= @t277 (forall @t6 (=> @t276 (forall @t159 (=> (tptp.c_member @t19 @t153 @t21) (=> @t275 (or (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t3 @t153) @t56) @t274))))))))) % 65.02/65.24 (assume @p85 (forall @t279 (= (tptp.c_Relation_ORange @t19 @t19 @t266) @t21))) % 65.02/65.24 (assume @p86 (forall @t279 (= (tptp.c_Relation_ODomain @t19 @t19 @t266) @t21))) % 65.02/65.24 (assume @p87 (forall @t279 (tptp.c_Relation_Osingle__valued @t19 @t19 @t266))) % 65.02/65.24 (assume @p88 (forall @t229 (= (tptp.c_member @t19 @t69 @t281) (exists @t190 (tptp.c_member @t280 (tptp.c_Product__Type_OPair @t45 @t19 @t188 @t69) @t56))))) % 65.02/65.24 (assume @p89 (forall (@list @t21 @t18 @t19) (=> (tptp.c_member @t58 @t18 @t266) (not (forall @t6 (=> @t276 (not (= @t18 @t57)))))))) % 65.02/65.24 (assume @p90 (forall (@list @t56 @t45 @t67 @t19) (=> (tptp.c_member @t19 @t67 @t281) (not (forall @t6 (not @t282)))))) % 65.02/65.24 (assume @p91 (forall (@list @t2 @t56 @t45 @t28 @t29 @t19) (= (tptp.c_member @t58 @t222 (tptp.c_Relation_Oinv__image @t45 @t19 @t56 @t2)) (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t45 @t45 @t191 @t283) @t56)))) % 65.02/65.24 (assume @p92 (forall @t286 (=> @t285 (=> @t284 @t90)))) % 65.02/65.24 (assume @p93 (forall @t286 (=> @t285 (=> @t284 @t84)))) % 65.02/65.24 (assume @p94 (forall @t288 (=> @t285 (=> @t86 @t287)))) % 65.02/65.24 (assume @p95 (forall @t258 (=> @t290 @t218))) % 65.02/65.24 (assume @p96 (forall @t292 (tptp.c_member @t58 @t207 @t291))) % 65.02/65.24 (assume @p97 (forall @t258 (=> @t180 @t290))) % 65.02/65.24 (assume @p98 (forall @t210 (=> @t209 @t293))) % 65.02/65.24 (assume @p99 (forall @t295 (= (tptp.c_Transitive__Closure_Ortrancl @t19 @t294) @t221))) % 65.02/65.24 (assume @p100 (forall @t295 (= (tptp.c_Transitive__Closure_Otrancl @t19 @t221) @t221))) % 65.02/65.24 (assume @p101 (forall @t60 (= (tptp.c_Relation_ODomain @t19 @t19 @t289) @t296))) % 65.02/65.24 (assume @p102 (forall @t60 (= (tptp.c_Relation_ORange @t19 @t19 @t289) @t297))) % 65.02/65.24 (assume @p103 (forall @t279 (tptp.c_Relation_Orefl__on @t19 @t21 @t266))) % 65.02/65.24 (assume @p104 (forall @t298 (tptp.c_Relation_Osingle__valued @t19 @t19 @t291))) % 65.02/65.24 (assume @p105 (forall (@list @t18 @t44 @t67 @t69 @t19) (=> (tptp.c_member @t58 @t179 @t44) (=> (tptp.c_member @t58 @t213 @t44) (tptp.c_member @t58 @t211 @t294))))) % 65.02/65.24 (assume @p106 (forall @t216 (=> @t180 @t300))) % 65.02/65.24 (assume @p107 (forall @t216 (=> @t290 @t301))) % 65.02/65.24 (assume @p108 (forall @t216 (=> @t290 @t300))) % 65.02/65.24 (assume @p109 (forall @t302 (= (tptp.c_member @t58 @t179 @t291) @t88))) % 65.02/65.24 (assume @p110 (forall @t304 (= @t223 (or @t35 (and @t36 @t303))))) % 65.02/65.24 (assume @p111 (forall @t216 (=> @t180 @t305))) % 65.02/65.24 (assume @p112 (forall (@list @t44 @t67 @t69 @t19) (=> (tptp.c_member @t58 @t179 @t221) (or @t88 (and @t106 (tptp.c_member @t58 @t179 @t294)))))) % 65.02/65.24 (assume @p113 (forall @t216 (=> @t218 @t301))) % 65.02/65.24 (assume @p114 (forall @t216 (=> @t290 @t305))) % 65.02/65.24 (assume @p115 (forall (@list @t32 @t56 @t28 @t29 @t19) (=> @t233 (=> (tptp.c_member @t58 @t230 @t289) @t306)))) % 65.02/65.24 (assume @p116 (forall @t304 (=> @t303 (exists @t167 (and (tptp.c_member @t58 @t308 @t44) (tptp.c_member @t58 @t307 @t221)))))) % 65.02/65.24 (assume @p117 (forall @t304 (=> @t303 (exists @t167 (and (tptp.c_member @t58 @t308 @t221) (tptp.c_member @t58 @t307 @t44)))))) % 65.02/65.24 (assume @p118 (forall (@list @t208 @t19) (=> (tptp.c_member @t58 @t208 @t291) (not (forall @t6 (not (= @t208 @t57))))))) % 65.02/65.24 (assume @p119 (forall @t60 (= @t310 @t309))) % 65.02/65.24 (assume @p120 (forall (@list @t28 @t29 @t56 @t19) (=> @t309 (=> @t284 @t36)))) % 65.02/65.24 (assume @p121 (forall @t261 (=> @t306 (=> (not (tptp.c_member @t58 @t231 @t56)) (not (forall @t190 (=> @t260 (not (tptp.c_member @t58 @t259 @t289))))))))) % 65.02/65.24 (assume @p122 (forall @t258 (=> @t290 (=> (not @t180) (not (forall (@list @t311) (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t311) @t289) (not (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t311 @t67) @t56))))))))) % 65.02/65.24 (assume @p123 (forall @t60 (=> @t309 @t310))) % 65.02/65.24 (assume @p124 (forall @t315 (= (tptp.c_Wellfounded_Oacyclic @t19 @t314) (and @t310 @t312)))) % 65.02/65.24 (assume @p125 (forall @t60 (=> @t310 (tptp.c_Relation_Oantisym @t19 @t204)))) % 65.02/65.24 (assume @p126 (forall @t60 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t289 @t291) @t204))) % 65.02/65.24 (assume @p127 (forall @t60 (= (tptp.c_Transitive__Closure_Otrancl @t19 @t317) @t204))) % 65.02/65.24 (assume @p128 (forall @t320 (=> @t319 (=> @t180 (=> @t318 @t88))))) % 65.02/65.24 (assume @p129 (forall @t60 (= @t319 @t325))) % 65.02/65.24 (assume @p130 (forall @t331 (=> @t330 (=> (not @t83) @t327)))) % 65.02/65.24 (assume @p131 (forall (@list @t19 @t21 @t29 @t17) (=> (=> @t332 @t83) @t330))) % 65.02/65.24 (assume @p132 (forall @t334 (=> @t333 (=> @t106 @t86)))) % 65.02/65.24 (assume @p133 (forall @t338 (=> (=> (not @t337) @t88) @t336))) % 65.02/65.24 (assume @p134 (forall @t340 (=> @t339 @t23))) % 65.02/65.24 (assume @p135 (forall @t341 (=> (=> @t24 @t22) @t339))) % 65.02/65.24 (assume @p136 (forall (@list @t17 @t21 @t19 @t45) (= (tptp.c_Relation_ORange @t45 @t19 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t344 @t21 @t17)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t343 @t342)))) % 65.02/65.24 (assume @p137 (forall (@list @t17 @t19 @t29 @t21) (=> @t83 @t330))) % 65.02/65.24 (assume @p138 (forall (@list @t21 @t19 @t29 @t17) (=> @t327 @t330))) % 65.02/65.24 (assume @p139 (forall @t279 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t21) @t21))) % 65.02/65.24 (assume @p140 (forall @t346 (= @t329 @t345))) % 65.02/65.24 (assume @p141 (forall @t85 (= (tptp.c_Set_Oinsert @t19 @t29 @t347) @t347))) % 65.02/65.24 (assume @p142 (forall @t346 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t329) @t329))) % 65.02/65.24 (assume @p143 (forall @t267 (= (tptp.c_Set_Oinsert @t19 @t29 @t348) (tptp.c_Set_Oinsert @t19 @t28 @t347)))) % 65.02/65.24 (assume @p144 (forall (@list @t17 @t69 @t21 @t19) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t349) (tptp.c_Set_Oinsert @t19 @t69 @t329)))) % 65.02/65.24 (assume @p145 (forall @t354 (= @t353 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t17 @t351)))) % 65.02/65.24 (assume @p146 (forall (@list @t350 @t17 @t69 @t19) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t349 @t350) (tptp.c_Set_Oinsert @t19 @t69 @t352)))) % 65.02/65.24 (assume @p147 (forall @t354 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t329 @t350) @t353))) % 65.02/65.24 (assume @p148 (forall @t358 (= (exists @t6 (and @t357 @t355)) (or (exists @t6 (and @t276 @t355)) (exists @t6 (and @t356 @t355)))))) % 65.02/65.24 (assume @p149 (forall @t358 (= (forall @t6 (=> @t357 @t355)) (and (forall @t6 (=> @t276 @t355)) (forall @t6 (=> @t356 @t355)))))) % 65.02/65.24 (assume @p150 (forall (@list @t29 @t21 @t28 @t19) (= (tptp.hBOOL (tptp.hAPP @t348 @t29)) (or (= @t28 @t29) @t83)))) % 65.02/65.24 (assume @p151 (forall @t362 (= (tptp.c_Relation_ODomain @t19 @t45 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t361 @t21 @t17)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t360 @t359)))) % 65.02/65.24 (assume @p152 (forall @t365 (=> @t285 (=> @t364 (tptp.c_Relation_Orefl__on @t19 @t329 @t363))))) % 65.02/65.24 (assume @p153 (forall @t60 (= (tptp.c_Relation_Oantisym @t19 @t317) @t319))) % 65.02/65.24 (assume @p154 (forall @t227 (= (tptp.c_Relation_ODomain @t19 @t45 (tptp.c_Set_Oinsert @t47 @t73 @t56)) (tptp.c_Set_Oinsert @t19 @t69 @t224)))) % 65.02/65.24 (assume @p155 (forall (@list @t56 @t67 @t69 @t19 @t45) (= (tptp.c_Relation_ORange @t45 @t19 (tptp.c_Set_Oinsert @t280 @t366 @t56)) (tptp.c_Set_Oinsert @t19 @t67 @t281)))) % 65.02/65.24 (assume @p156 (forall @t340 (= @t339 (or @t22 @t20)))) % 65.02/65.24 (assume @p157 (forall @t340 (=> @t22 @t339))) % 65.02/65.24 (assume @p158 (forall @t341 (=> @t20 @t339))) % 65.02/65.24 (assume @p159 (forall (@list @t17 @t69 @t19) (tptp.c_member @t19 @t69 @t349))) % 65.02/65.24 (assume @p160 (forall @t334 (= @t333 (or @t88 @t86)))) % 65.02/65.24 (assume @p161 (forall @t369 (=> @t368 (=> (not @t91) (= (= @t347 @t367) @t26))))) % 65.02/65.24 (assume @p162 (forall @t338 (=> @t337 @t336))) % 65.02/65.24 (assume @p163 (forall @t371 (=> @t86 (= @t370 @t21)))) % 65.02/65.24 (assume @p164 (forall @t376 (= (tptp.c_Transitive__Closure_Ortrancl @t19 @t375) @t373))) % 65.02/65.24 (assume @p165 (forall @t298 (tptp.c_Relation_Oantisym @t19 @t291))) % 65.02/65.24 (assume @p166 (forall (@list @t372 @t44 @t29 @t19) (=> (or (tptp.c_member @t58 @t29 @t221) (tptp.c_member @t58 @t29 @t374)) (tptp.c_member @t58 @t29 @t373)))) % 65.02/65.24 (assume @p167 (forall @t279 (tptp.c_Relation_Oantisym @t19 @t266))) % 65.02/65.24 (assume @p168 (forall @t295 (= (tptp.c_Transitive__Closure_Ortrancl @t19 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t44 @t291)) @t221))) % 65.02/65.24 (assume @p169 (forall @t295 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t316 @t221 @t291) @t221))) % 65.02/65.24 (assume @p170 (forall @t380 (=> @t379 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t378 @t2 @t1) @t29) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t191 @t377))))) % 65.02/65.24 (assume @p171 (forall @t385 (=> @t384 (=> (forall @t6 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t3) @t381) (forall @t190 (=> (tptp.c_member @t58 @t324 @t383) @t321)))) @t382)))) % 65.02/65.24 (assume @p172 (forall @t385 (=> @t384 (=> (forall @t6 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t3 @t67) @t381) (forall @t190 (=> (tptp.c_member @t58 @t322 @t383) (= @t188 @t3))))) @t382)))) % 65.02/65.24 (assume @p173 (forall @t315 (= (tptp.c_Wellfounded_Owf @t19 @t314) (and @t386 @t312)))) % 65.02/65.24 (assume @p174 (forall @t60 (=> @t325 @t319))) % 65.02/65.24 (assume @p175 (forall @t60 (= @t387 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t296 @t297)))) % 65.02/65.24 (assume @p176 (forall (@list @t2 @t45 @t56 @t19) (=> @t386 (tptp.c_Wellfounded_Owf @t45 (tptp.c_Relation_Oinv__image @t19 @t45 @t56 @t2))))) % 65.02/65.24 (assume @p177 (forall (@list @t388 @t45 @t389 @t19) (=> (tptp.c_Wellfounded_Owf @t19 @t389) (=> (tptp.c_Wellfounded_Owf @t45 @t388) (tptp.c_Wellfounded_Owf @t47 (tptp.c_Wellfounded_Olex__prod @t19 @t45 @t389 @t388)))))) % 65.02/65.24 (assume @p178 (forall @t60 (=> @t386 (tptp.c_Wellfounded_Owf @t19 @t289)))) % 65.02/65.24 (assume @p179 (forall @t60 (=> @t386 @t310))) % 65.02/65.24 (assume @p180 (forall (@list @t69 @t56 @t19) (=> @t386 (not @t287)))) % 65.02/65.24 (assume @p181 (forall (@list @t29 @t69 @t56 @t19) (=> @t386 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t69 @t29) @t56) (not @t193))))) % 65.02/65.24 (assume @p182 (forall @t390 (=> @t386 @t202))) % 65.02/65.24 (assume @p183 (forall @t60 (= @t386 (forall @t6 @t176)))) % 65.02/65.24 (assume @p184 (forall @t392 (= (tptp.c_Relation_OField @t19 @t363) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t387 @t391)))) % 65.02/65.24 (assume @p185 (forall @t394 (=> @t393 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t81 @t81) @t81)))) % 65.02/65.24 (assume @p186 (forall @t396 (=> @t393 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t395) @t395)))) % 65.02/65.24 (assume @p187 (forall @t398 (=> @t393 (= @t397 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t79 @t81))))) % 65.02/65.24 (assume @p188 (forall @t403 (=> @t379 @t402))) % 65.02/65.24 (assume @p189 (forall @t403 (=> @t393 @t402))) % 65.02/65.24 (assume @p190 (forall @t398 (=> @t393 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t81 @t397) @t397)))) % 65.02/65.24 (assume @p191 (forall @t403 (=> @t379 @t404))) % 65.02/65.24 (assume @p192 (forall @t403 (=> @t393 @t404))) % 65.02/65.24 (assume @p193 (forall @t407 (=> @t393 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t79 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t81 @t405)) @t406)))) % 65.02/65.24 (assume @p194 (forall @t413 (=> @t379 @t412))) % 65.02/65.24 (assume @p195 (forall @t413 (=> @t393 @t412))) % 65.02/65.24 (assume @p196 (forall @t414 (=> @t393 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t397 @t405) @t406)))) % 65.02/65.24 (assume @p197 (forall @t413 (=> @t379 @t415))) % 65.02/65.24 (assume @p198 (forall @t413 (=> @t393 @t415))) % 65.02/65.24 (assume @p199 (forall (@list @t2 @t19) (tptp.c_Wellfounded_Owf @t19 (tptp.c_Wellfounded_Omeasure @t19 @t2)))) % 65.02/65.24 (assume @p200 (forall (@list @t69 @t416 @t56 @t45 @t19 @t2) (=> (= @t2 @t418) (=> @t386 (= @t417 (tptp.hAPP (tptp.hAPP @t416 @t192) @t69)))))) % 65.02/65.24 (assume @p201 (forall (@list @t69 @t416 @t45 @t56 @t19) (=> @t386 (= (tptp.hAPP @t418 @t69) (tptp.hAPP (tptp.hAPP @t416 (tptp.c_Recdef_Ocut @t19 @t45 @t418 @t56 @t69)) @t69))))) % 65.02/65.24 (assume @p202 (forall (@list @t45 @t19 @t419 @t186) (=> (tptp.c_Wellfounded_Owf @t19 @t186) (forall @t6 (= (tptp.hAPP @t420 @t3) (tptp.hAPP (tptp.hAPP @t419 (tptp.c_Recdef_Ocut @t19 @t45 @t420 @t186 @t3)) @t3)))))) % 65.02/65.24 (assume @p203 (forall @t258 (= (tptp.c_Relation_OField @t19 (tptp.c_Set_Oinsert @t58 @t179 @t56)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t423 @t387)))) % 65.02/65.24 (assume @p204 (forall @t298 (tptp.c_Wellfounded_Owf @t19 @t424))) % 65.02/65.24 (assume @p205 (forall @t292 (not (tptp.c_member @t19 @t69 @t421)))) % 65.02/65.24 (assume @p206 (forall @t298 (= (tptp.c_Relation_OField @t19 @t424) @t421))) % 65.02/65.24 (assume @p207 (forall @t426 (= (= @t281 @t421) (= @t56 @t425)))) % 65.02/65.24 (assume @p208 (forall (@list @t19 @t45) (= (tptp.c_Relation_ORange @t45 @t19 @t425) @t421))) % 65.02/65.24 (assume @p209 (forall @t298 (= (tptp.c_Relation_OId__on @t19 @t421) @t424))) % 65.02/65.24 (assume @p210 (forall @t265 (= (= @t224 @t421) (= @t56 @t427)))) % 65.02/65.24 (assume @p211 (forall (@list @t45 @t19) (= (tptp.c_Relation_ODomain @t19 @t45 @t427) @t421))) % 65.02/65.24 (assume @p212 (forall @t298 (tptp.c_Relation_Orefl__on @t19 @t421 @t424))) % 65.02/65.24 (assume @p213 (forall @t279 (= (forall @t6 @t429) @t428))) % 65.02/65.24 (assume @p214 (forall @t279 (= (exists @t6 @t276) (not @t428)))) % 65.02/65.24 (assume @p215 (forall (@list @t18 @t19) (not (tptp.c_member @t19 @t18 @t421)))) % 65.02/65.24 (assume @p216 (forall (@list @t69 @t19 @t21) (=> @t428 @t430))) % 65.02/65.24 (assume @p217 (forall @t371 (not (= @t421 @t370)))) % 65.02/65.24 (assume @p218 (forall @t371 (not (= @t370 @t421)))) % 65.02/65.24 (assume @p219 (forall (@list @t431 @t18 @t67 @t69 @t19) (= (= @t423 (tptp.c_Set_Oinsert @t19 @t18 (tptp.c_Set_Oinsert @t19 @t431 @t421))) (or (and @t116 (= @t67 @t431)) (and (= @t69 @t431) @t119))))) % 65.02/65.24 (assume @p220 (forall @t302 (=> (= @t432 @t422) @t88))) % 65.02/65.24 (assume @p221 (forall @t433 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t421 @t17) @t17))) % 65.02/65.24 (assume @p222 (forall @t279 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t421) @t21))) % 65.02/65.24 (assume @p223 (forall @t346 (= (= @t329 @t421) (and @t428 (= @t17 @t421))))) % 65.02/65.24 (assume @p224 (forall @t298 (= (tptp.c_Transitive__Closure_Otrancl @t19 @t424) @t424))) % 65.02/65.24 (assume @p225 (forall @t298 (tptp.c_Relation_Oantisym @t19 @t424))) % 65.02/65.24 (assume @p226 (forall @t60 (tptp.c_Relation_Ototal__on @t19 @t421 @t56))) % 65.02/65.24 (assume @p227 (forall @t396 (=> @t435 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t434 @t395) @t395)))) % 65.02/65.24 (assume @p228 (forall @t396 (=> @t435 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t434) @t395)))) % 65.02/65.24 (assume @p229 (forall @t220 (=> @t435 (= (= @t436 @t434) (and (= @t29 @t434) (= @t28 @t434)))))) % 65.02/65.24 (assume @p230 (forall @t439 (=> @t438 @t437))) % 65.02/65.24 (assume @p231 (forall @t439 (= @t438 @t437))) % 65.02/65.24 (assume @p232 (forall @t371 (= @t370 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t432 @t21)))) % 65.02/65.24 (assume @p233 (forall @t298 (= (tptp.c_Transitive__Closure_Ortrancl @t19 @t424) @t291))) % 65.02/65.24 (assume @p234 (forall (@list @t29 @t19) (= (tptp.c_Set_Othe__elem @t19 @t440) @t29))) % 65.02/65.24 (assume @p235 (forall (@list @t29 @t45 @t19) (=> @t441 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t378) @t29) @t434)))) % 65.02/65.24 (assume @p236 (forall (@list @t19 @t44 @t45 @t49) (=> (forall @t6 (=> @t355 (tptp.c_Wellfounded_Owf @t45 (tptp.hAPP @t44 @t3)))) (tptp.c_Wellfounded_Owf @t47 @t50)))) % 65.02/65.24 (assume @p237 (forall @t392 (=> @t386 (=> (tptp.c_Wellfounded_Owf @t19 @t162) (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t296 (tptp.c_Relation_ORange @t19 @t19 @t162)) @t421) (tptp.c_Wellfounded_Owf @t19 @t363)))))) % 65.02/65.24 (assume @p238 (forall @t60 (= @t386 (forall (@list @t442) (=> (exists @t6 @t443) (exists @t6 (and @t443 (forall @t190 (=> @t323 (not (tptp.c_member @t19 @t188 @t442))))))))))) % 65.02/65.24 (assume @p239 (forall @t331 (=> @t445 (not (=> @t83 @t332))))) % 65.02/65.24 (assume @p240 (forall (@list @t19 @t17 @t29 @t21) (=> @t83 (=> @t327 @t445)))) % 65.02/65.24 (assume @p241 (forall @t340 (=> @t446 (not @t25)))) % 65.02/65.24 (assume @p242 (forall @t340 (=> @t22 (=> @t20 @t446)))) % 65.02/65.24 (assume @p243 (forall @t396 (=> @t435 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t434 @t395) @t434)))) % 65.02/65.24 (assume @p244 (forall @t396 (=> @t435 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t434) @t434)))) % 65.02/65.24 (assume @p245 (forall @t433 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t421 @t17) @t421))) % 65.02/65.24 (assume @p246 (forall @t279 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t421) @t421))) % 65.02/65.24 (assume @p247 (forall @t346 (= (= @t444 @t421) (forall @t6 (=> @t276 (forall @t159 (=> @t447 @t275))))))) % 65.02/65.24 (assume @p248 (forall @t449 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t370 @t349) @t448))) % 65.02/65.24 (assume @p249 (forall @t354 (= @t451 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t444 @t450)))) % 65.02/65.24 (assume @p250 (forall @t354 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t21 @t452) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t329 @t351)))) % 65.02/65.24 (assume @p251 (forall @t455 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t352 @t21) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t454 @t453)))) % 65.02/65.24 (assume @p252 (forall @t455 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t452 @t21) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t345 @t456)))) % 65.02/65.24 (assume @p253 (forall @t354 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t444 @t452) @t453) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t329 @t352) @t456)))) % 65.02/65.24 (assume @p254 (forall @t458 (=> @t386 (tptp.c_Wellfounded_Owf @t19 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t316 @t56 @t457))))) % 65.02/65.24 (assume @p255 (forall @t458 (=> @t386 (tptp.c_Wellfounded_Owf @t19 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t316 @t457 @t56))))) % 65.02/65.24 (assume @p256 (forall @t365 (=> @t285 (=> @t364 (tptp.c_Relation_Orefl__on @t19 @t444 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t316 @t56 @t162)))))) % 65.02/65.24 (assume @p257 (forall @t354 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t444 @t350) @t459))) % 65.02/65.24 (assume @p258 (forall @t354 (= @t459 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t17 @t450)))) % 65.02/65.24 (assume @p259 (forall @t346 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t444) @t444))) % 65.02/65.24 (assume @p260 (forall @t346 (= @t444 @t454))) % 65.02/65.24 (assume @p261 (forall @t279 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t21 @t21) @t21))) % 65.02/65.24 (assume @p262 (forall @t331 (=> @t445 @t327))) % 65.02/65.24 (assume @p263 (forall @t331 (=> @t445 @t83))) % 65.02/65.24 (assume @p264 (forall @t340 (= @t446 (and @t22 @t20)))) % 65.02/65.24 (assume @p265 (forall @t340 (=> @t446 @t22))) % 65.02/65.24 (assume @p266 (forall @t340 (=> @t446 @t20))) % 65.02/65.24 (assume @p267 (forall @t380 (=> @t379 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t378 @t2 @t1) @t29) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t191 @t377))))) % 65.02/65.24 (assume @p268 (forall @t413 (=> @t464 @t463))) % 65.02/65.24 (assume @p269 (forall @t413 (=> @t379 @t463))) % 65.02/65.24 (assume @p270 (forall @t414 (=> @t464 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t466 @t405) @t465)))) % 65.02/65.24 (assume @p271 (forall @t413 (=> @t464 @t468))) % 65.02/65.24 (assume @p272 (forall @t413 (=> @t379 @t468))) % 65.02/65.24 (assume @p273 (forall @t407 (=> @t464 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t79 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t81 @t405)) @t465)))) % 65.02/65.24 (assume @p274 (forall @t403 (=> @t464 @t469))) % 65.02/65.24 (assume @p275 (forall @t403 (=> @t379 @t469))) % 65.02/65.24 (assume @p276 (forall @t398 (=> @t464 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t81 @t466) @t466)))) % 65.02/65.24 (assume @p277 (forall @t403 (=> @t464 @t471))) % 65.02/65.24 (assume @p278 (forall @t403 (=> @t379 @t471))) % 65.02/65.24 (assume @p279 (forall @t398 (=> @t464 (= @t466 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t79 @t81))))) % 65.02/65.24 (assume @p280 (forall @t396 (=> @t464 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t395) @t395)))) % 65.02/65.24 (assume @p281 (forall @t394 (=> @t464 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t81 @t81) @t81)))) % 65.02/65.24 (assume @p282 (forall @t403 (=> @t379 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t395 @t401) @t395)))) % 65.02/65.24 (assume @p283 (forall @t403 (=> @t379 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t395 @t462) @t395)))) % 65.02/65.24 (assume @p284 (forall @t413 (=> @t474 (= @t473 @t472)))) % 65.02/65.24 (assume @p285 (forall @t413 (=> @t474 (= @t476 @t475)))) % 65.02/65.24 (assume @p286 (forall @t477 (=> @t474 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t410 @t395) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t470 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t408 @t395)))))) % 65.02/65.24 (assume @p287 (forall @t477 (=> @t474 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t460 @t395) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t400 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t408 @t395)))))) % 65.02/65.24 (assume @p288 (forall @t449 (and @t480 @t479))) % 65.02/65.24 (assume @p289 (forall @t485 (and @t484 @t483))) % 65.02/65.24 (assume @p290 (forall @t449 @t479)) % 65.02/65.24 (assume @p291 (forall @t485 @t483)) % 65.02/65.24 (assume @p292 (forall @t449 @t480)) % 65.02/65.24 (assume @p293 (forall @t485 @t484)) % 65.02/65.24 (assume @p294 (forall @t390 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t316 @t486 @t204) @t424) (not (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t29 @t29) @t289))))) % 65.02/65.24 (assume @p295 (forall (@list @t69 @t56 @t45 @t67 @t19) (= (tptp.c_member @t19 @t67 (tptp.c_Relation_OImage @t45 @t19 @t56 (tptp.c_Set_Oinsert @t45 @t69 @t488))) (tptp.c_member @t280 @t366 @t56)))) % 65.02/65.24 (assume @p296 (forall @t295 (=> @t489 (tptp.c_Wellfounded_OwfP @t19 (tptp.c_FunDef_Oin__rel @t19 @t19 @t44))))) % 65.02/65.24 (assume @p297 (forall @t320 (=> (tptp.c_Relation_Orefl__on @t19 @t387 @t56) (=> @t319 @t495)))) % 65.02/65.24 (assume @p298 (forall (@list @t44 @t19 @t45) (= (tptp.c_Relation_OImage @t45 @t19 @t44 @t488) @t421))) % 65.02/65.24 (assume @p299 (forall @t500 (=> (tptp.c_Relation_Osingle__valued @t19 @t45 (tptp.c_Relation_Oconverse @t45 @t19 @t44)) (= @t499 @t498)))) % 65.02/65.24 (assume @p300 (forall @t503 (= (tptp.c_Relation_Oconverse @t45 @t19 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t344 @t56 @t162)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t361 @t502 @t501)))) % 65.02/65.24 (assume @p301 (forall @t60 (= @t505 @t504))) % 65.02/65.24 (assume @p302 (forall @t503 (= (tptp.c_Relation_Oconverse @t45 @t19 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t344 @t56 @t162)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t361 @t502 @t501)))) % 65.02/65.24 (assume @p303 (forall @t279 (= (tptp.c_Relation_OImage @t19 @t19 @t291 @t21) @t21))) % 65.02/65.24 (assume @p304 (forall @t60 (= (tptp.c_Relation_OField @t19 @t486) @t387))) % 65.02/65.24 (assume @p305 (forall @t298 (= (tptp.c_Relation_Oconverse @t19 @t19 @t291) @t291))) % 65.02/65.24 (assume @p306 (forall @t278 (= (tptp.c_Relation_Orefl__on @t19 @t21 @t486) @t285))) % 65.02/65.24 (assume @p307 (forall @t60 (= (tptp.c_Relation_Oantisym @t19 @t486) @t319))) % 65.02/65.24 (assume @p308 (forall @t60 (= (tptp.c_Wellfounded_Oacyclic @t19 @t486) @t310))) % 65.02/65.24 (assume @p309 (forall @t279 (= (tptp.c_Relation_Oconverse @t19 @t19 @t266) @t266))) % 65.02/65.24 (assume @p310 (forall @t426 (= (tptp.c_Relation_Oconverse @t45 @t19 @t506) @t56))) % 65.02/65.24 (assume @p311 (forall @t60 (= @t507 (tptp.c_Relation_Oconverse @t19 @t19 @t204)))) % 65.02/65.24 (assume @p312 (forall (@list @t17 @t21 @t44 @t19 @t45) (= (tptp.c_Relation_OImage @t45 @t19 @t44 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t487 @t21 @t17)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t497 @t496)))) % 65.02/65.24 (assume @p313 (forall (@list @t2 @t44 @t45 @t19) (= (tptp.c_Relation_Oconverse @t19 @t19 (tptp.c_Relation_Oinv__image @t45 @t19 @t44 @t2)) (tptp.c_Relation_Oinv__image @t45 @t19 (tptp.c_Relation_Oconverse @t45 @t45 @t44) @t2)))) % 65.02/65.24 (assume @p314 (forall @t278 (= (tptp.c_Relation_Ototal__on @t19 @t21 @t486) @t277))) % 65.02/65.24 (assume @p315 (forall @t227 (= @t510 @t509))) % 65.02/65.24 (assume @p316 (forall @t227 (=> @t226 (tptp.c_member @t280 @t508 @t506)))) % 65.02/65.24 (assume @p317 (forall @t227 (=> @t510 @t509))) % 65.02/65.24 (assume @p318 (forall (@list @t21 @t372 @t44 @t19 @t45) (= (tptp.c_Relation_OImage @t45 @t19 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t344 @t44 @t372) @t21) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t497 (tptp.c_Relation_OImage @t45 @t19 @t372 @t21))))) % 65.02/65.24 (assume @p319 (forall @t60 (=> (tptp.c_Wellfounded_Owf @t19 @t486) (tptp.c_Wellfounded_Owf @t19 @t504)))) % 65.02/65.24 (assume @p320 (forall @t346 (= (tptp.c_Relation_OImage @t19 @t19 @t266 @t17) @t444))) % 65.02/65.24 (assume @p321 (forall @t426 (= @t281 @t511))) % 65.02/65.24 (assume @p322 (forall @t265 (= @t511 @t281))) % 65.02/65.24 (assume @p323 (forall @t426 (= (tptp.c_Relation_ORange @t45 @t19 @t506) @t224))) % 65.02/65.24 (assume @p324 (forall (@list @t27) (= (tptp.c_member @t40 (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t27) tptp.c_Arrow__Order__Mirabelle_OLin) @t182))) % 65.02/65.24 (assume @p325 (forall @t514 (= @t513 (exists @t6 (and @t512 @t282))))) % 65.02/65.24 (assume @p326 (forall (@list @t56 @t67 @t45 @t21 @t69 @t19) (=> @t86 (=> @t226 (tptp.c_member @t45 @t67 @t515))))) % 65.02/65.24 (assume @p327 (forall @t315 (=> @t517 @t516))) % 65.02/65.24 (assume @p328 (forall @t518 (=> @t516 @t517))) % 65.02/65.24 (assume @p329 (forall @t518 (=> @t520 @t519))) % 65.02/65.24 (assume @p330 (forall @t518 (=> @t519 @t520))) % 65.02/65.24 (assume @p331 (forall @t320 (=> (tptp.c_Order__Relation_Opartial__order__on @t19 @t387 @t56) @t495))) % 65.02/65.24 (assume @p332 (forall @t514 (=> @t513 (not (forall @t6 (=> @t282 (not @t512))))))) % 65.02/65.24 (assume @p333 (forall @t298 (tptp.c_Order__Relation_Owell__order__on @t19 @t421 @t424))) % 65.02/65.24 (assume @p334 (forall @t278 (= (tptp.c_Order__Relation_Opartial__order__on @t19 @t21 @t486) @t521))) % 65.02/65.24 (assume @p335 (forall @t298 (tptp.c_Order__Relation_Opartial__order__on @t19 @t421 @t424))) % 65.02/65.24 (assume @p336 (forall @t278 (= @t522 (and @t521 @t277)))) % 65.02/65.24 (assume @p337 (forall @t278 (= @t521 (and @t523 @t319)))) % 65.02/65.24 (assume @p338 (forall (@list @t67 @t69 @t29 @t56 @t21 @t19) (=> @t524 (=> (tptp.c_member @t19 @t29 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t491 @t490)) @t180)))) % 65.02/65.24 (assume @p339 (forall @t278 (= (tptp.c_Order__Relation_Opreorder__on @t19 @t21 @t486) @t523))) % 65.02/65.24 (assume @p340 (forall @t278 (= (tptp.c_Order__Relation_Olinear__order__on @t19 @t21 @t486) @t522))) % 65.02/65.24 (assume @p341 (forall @t288 (=> @t524 (=> @t86 (tptp.c_member @t19 @t69 @t491))))) % 65.02/65.24 (assume @p342 (forall @t525 (=> @t524 (=> @t180 @t492)))) % 65.02/65.24 (assume @p343 (forall @t298 (tptp.c_Order__Relation_Opreorder__on @t19 @t421 @t424))) % 65.02/65.24 (assume @p344 (forall @t286 (=> @t524 (= @t284 (and @t528 @t84 @t90))))) % 65.02/65.24 (assume @p345 (forall @t286 (=> @t524 (=> @t84 (=> @t90 (= @t528 @t284)))))) % 65.02/65.24 (assume @p346 (forall (@list @t21 @t67 @t69 @t56 @t19) (=> @t492 (=> @t524 @t529)))) % 65.02/65.24 (assume @p347 (forall @t298 (tptp.c_Order__Relation_Olinear__order__on @t19 @t421 @t424))) % 65.02/65.24 (assume @p348 (forall @t320 (=> @t531 (=> @t494 (=> @t493 (= @t530 @t318)))))) % 65.02/65.24 (assume @p349 (forall @t286 (=> @t524 (=> @t84 (=> @t90 (= (= @t532 (tptp.c_Equiv__Relations_Oquotient @t19 @t526 @t56)) @t284)))))) % 65.02/65.24 (assume @p350 (forall (@list @t69 @t67 @t56 @t21 @t19) (=> @t524 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t490 @t491) @t529)))) % 65.02/65.24 (assume @p351 (forall @t396 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t395)))) % 65.02/65.24 (assume @p352 (forall @t346 (=> @t535 (=> @t534 @t26)))) % 65.02/65.24 (assume @p353 (forall (@list @t18 @t17 @t21 @t19) (=> @t535 @t536))) % 65.02/65.24 (assume @p354 (forall @t279 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t421 @t21))) % 65.02/65.24 (assume @p355 (forall @t278 (= (= @t538 @t537) @t428))) % 65.02/65.24 (assume @p356 (forall @t278 (= (= @t537 @t538) @t428))) % 65.02/65.24 (assume @p357 (forall @t60 (= (tptp.c_Equiv__Relations_Oquotient @t19 @t421 @t56) @t537))) % 65.02/65.24 (assume @p358 (forall @t369 (=> @t368 (= (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t367) @t535)))) % 65.02/65.24 (assume @p359 (forall @t369 (= (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t347 @t17) (and @t91 @t535)))) % 65.02/65.24 (assume @p360 (forall @t542 (=> @t541 (=> @t540 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t444 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t350 @t539)))))) % 65.02/65.24 (assume @p361 (forall @t544 (=> @t543 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t350 @t17) (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t350 @t444))))) % 65.02/65.24 (assume @p362 (forall @t545 (=> @t534 (= @t444 @t17)))) % 65.02/65.24 (assume @p363 (forall @t346 (=> @t535 (= @t444 @t21)))) % 65.02/65.24 (assume @p364 (forall @t346 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t444 @t17))) % 65.02/65.24 (assume @p365 (forall @t346 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t444 @t21))) % 65.02/65.24 (assume @p366 (forall @t549 (=> @t464 (=> @t548 (not (=> @t547 (not @t546))))))) % 65.02/65.24 (assume @p367 (forall @t553 (=> @t464 (=> @t552 (=> @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t466 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t405 @t550))))))) % 65.02/65.24 (assume @p368 (forall @t413 (=> @t464 (=> @t555 (=> @t554 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t395 @t460)))))) % 65.02/65.24 (assume @p369 (forall @t549 (=> @t464 (=> @t547 (=> @t546 @t548))))) % 65.02/65.24 (assume @p370 (forall @t557 (=> @t464 (=> @t556 (= @t462 @t399))))) % 65.02/65.24 (assume @p371 (forall @t403 (=> @t464 (=> @t555 (= @t462 @t395))))) % 65.02/65.24 (assume @p372 (forall (@list @t81 @t395 @t79 @t19) (=> @t464 (=> @t559 @t558)))) % 65.02/65.24 (assume @p373 (forall @t561 (=> @t464 (=> @t560 @t558)))) % 65.02/65.24 (assume @p374 (forall @t564 (=> @t464 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t29 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t28 @t32)) (and @t563 @t562))))) % 65.02/65.24 (assume @p375 (forall @t220 (=> @t464 (= @t563 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t19 @t29 @t28) @t29))))) % 65.02/65.24 (assume @p376 (forall @t403 (=> @t464 @t565))) % 65.02/65.24 (assume @p377 (forall @t403 (=> @t379 @t565))) % 65.02/65.24 (assume @p378 (forall @t403 (=> @t464 @t566))) % 65.02/65.24 (assume @p379 (forall @t403 (=> @t379 @t566))) % 65.02/65.24 (assume @p380 (forall (@list @t21 @t567 @t56 @t457 @t45 @t19) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t361 @t457 @t56) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t567 @t21) (tptp.c_Orderings_Oord__class_Oless__eq @t487 (tptp.c_Relation_OImage @t19 @t45 @t457 @t567) @t515))))) % 65.02/65.24 (assume @p381 (forall (@list @t56 @t162 @t19) (=> (tptp.c_Wellfounded_Oacyclic @t19 @t162) (=> @t568 @t310)))) % 65.02/65.24 (assume @p382 (forall @t570 (=> @t569 (=> (tptp.c_Relation_Osingle__valued @t19 @t45 @t162) @t264)))) % 65.02/65.24 (assume @p383 (forall @t331 (=> @t535 (=> @t84 @t91)))) % 65.02/65.24 (assume @p384 (forall @t369 (=> @t84 (=> @t535 @t91)))) % 65.02/65.24 (assume @p385 (forall @t403 (=> @t379 @t571))) % 65.02/65.24 (assume @p386 (forall @t403 (=> @t393 @t571))) % 65.02/65.24 (assume @p387 (forall @t557 (=> @t379 @t572))) % 65.02/65.24 (assume @p388 (forall @t557 (=> @t393 @t572))) % 65.02/65.24 (assume @p389 (forall @t220 (=> @t393 (= @t563 (= @t436 @t28))))) % 65.02/65.24 (assume @p390 (forall @t564 (=> @t393 (= (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t436 @t32) (and @t562 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t28 @t32)))))) % 65.02/65.24 (assume @p391 (forall @t549 (=> @t393 (=> @t547 @t573)))) % 65.02/65.24 (assume @p392 (forall (@list @t81 @t79 @t395 @t19) (=> @t393 (=> @t546 @t573)))) % 65.02/65.24 (assume @p393 (forall @t403 (=> @t393 (=> @t555 (= @t401 @t399))))) % 65.02/65.24 (assume @p394 (forall @t557 (=> @t393 (=> @t556 (= @t401 @t395))))) % 65.02/65.24 (assume @p395 (forall @t561 (=> @t393 (=> @t560 (=> @t559 @t574))))) % 65.02/65.24 (assume @p396 (forall @t576 (=> @t393 (=> @t556 (=> @t575 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t410 @t395)))))) % 65.02/65.24 (assume @p397 (forall @t553 (=> @t393 (=> @t552 (=> @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t397 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t19 @t405 @t550))))))) % 65.02/65.24 (assume @p398 (forall (@list @t395 @t79 @t81 @t19) (=> @t393 (=> @t574 (not (=> @t560 (not @t559))))))) % 65.02/65.24 (assume @p399 (forall (@list @t69 @t17 @t19) (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t17 @t349))) % 65.02/65.24 (assume @p400 (forall (@list @t67 @t17 @t21 @t19) (=> @t535 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t335)))) % 65.02/65.24 (assume @p401 (forall (@list @t69 @t539 @t350 @t19) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t350 @t539) (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Set_Oinsert @t19 @t69 @t350) (tptp.c_Set_Oinsert @t19 @t69 @t539))))) % 65.02/65.24 (assume @p402 (forall @t346 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t329))) % 65.02/65.24 (assume @p403 (forall @t545 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t17 @t329))) % 65.02/65.24 (assume @p404 (forall @t346 (= @t535 @t577))) % 65.02/65.24 (assume @p405 (forall @t346 (=> @t535 @t577))) % 65.02/65.24 (assume @p406 (forall @t545 (=> @t534 (= @t329 @t21)))) % 65.02/65.24 (assume @p407 (forall (@list @t17 @t350 @t21 @t19) (=> @t541 (=> @t578 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t329 @t350))))) % 65.02/65.24 (assume @p408 (forall @t542 (=> @t541 (=> @t540 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t329 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t350 @t539)))))) % 65.02/65.24 (assume @p409 (forall @t392 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t56 @t579) @t580))) % 65.02/65.24 (assume @p410 (forall @t376 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t44 @t372) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t372 @t221) (= @t374 @t221))))) % 65.02/65.24 (assume @p411 (forall @t392 (=> @t568 @t580))) % 65.02/65.24 (assume @p412 (forall @t570 (=> @t569 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t224 (tptp.c_Relation_ODomain @t19 @t45 @t162))))) % 65.02/65.24 (assume @p413 (forall @t581 (=> @t26 (not (=> @t535 (not @t534)))))) % 65.02/65.24 (assume @p414 (forall @t354 (=> @t535 (=> @t578 @t541)))) % 65.02/65.24 (assume @p415 (forall @t581 (=> @t26 @t534))) % 65.02/65.24 (assume @p416 (forall @t581 (=> @t26 @t535))) % 65.02/65.24 (assume @p417 (forall @t581 (= @t26 (and @t535 @t534)))) % 65.02/65.24 (assume @p418 (forall @t279 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t21))) % 65.02/65.24 (assume @p419 (forall (@list @t583 @t582 @t19) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t582 @t583) (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Wellfounded_Oacc @t19 @t583) (tptp.c_Wellfounded_Oacc @t19 @t582))))) % 65.02/65.24 (assume @p420 (forall (@list @t29 @t383 @t49 @t19) (=> @t586 (=> @t55 @t585)))) % 65.02/65.24 (assume @p421 (forall (@list @t383 @t19 @t29 @t49) (=> @t55 (=> @t586 @t585)))) % 65.02/65.24 (assume @p422 (forall @t392 (=> @t568 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t387 @t391)))) % 65.02/65.24 (assume @p423 (forall @t392 (=> @t568 (=> (tptp.c_Relation_Oantisym @t19 @t162) @t319)))) % 65.02/65.24 (assume @p424 (forall @t587 (=> @t386 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t208 @t56) (tptp.c_Wellfounded_Owf @t19 @t208))))) % 65.02/65.24 (assume @p425 (forall @t403 (=> @t588 (=> (not @t555) @t556)))) % 65.02/65.24 (assume @p426 (forall (@list @t29 @t1 @t2 @t19 @t45) (=> @t590 (=> @t589 (tptp.c_Orderings_Oord__class_Oless__eq @t45 @t191 @t377))))) % 65.02/65.24 (assume @p427 (forall @t576 (=> @t591 (=> @t556 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t408 @t399) @t575))))) % 65.02/65.24 (assume @p428 (forall @t557 (=> @t591 (=> @t556 (=> @t555 @t592))))) % 65.02/65.24 (assume @p429 (forall @t413 (=> @t533 (=> @t555 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t399 @t408) @t554))))) % 65.02/65.24 (assume @p430 (forall @t403 (=> @t591 (=> @t555 (=> @t556 @t592))))) % 65.02/65.24 (assume @p431 (forall @t407 (=> @t591 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t79 @t81) (=> @t594 @t593))))) % 65.02/65.24 (assume @p432 (forall @t414 (=> @t595 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t81 @t79) (=> @t594 @t552))))) % 65.02/65.24 (assume @p433 (forall @t414 (=> @t591 (=> @t596 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t405 @t79) @t593))))) % 65.02/65.24 (assume @p434 (forall @t414 (=> @t595 (=> @t596 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t79 @t405) @t552))))) % 65.02/65.24 (assume @p435 (forall (@list @t29 @t28 @t19) (=> @t591 (=> @t597 (= @t563 @t35))))) % 65.02/65.24 (assume @p436 (forall @t403 (=> @t533 (=> @t592 @t555)))) % 65.02/65.24 (assume @p437 (forall @t220 (=> @t591 (= @t35 (and @t563 @t597))))) % 65.02/65.24 (assume @p438 (forall @t403 (=> @t588 (or @t555 @t556)))) % 65.02/65.24 (assume @p439 (forall (@list @t1 @t2 @t19 @t45) (=> @t590 (= @t589 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t45 @t5 @t4)))))) % 65.02/65.24 (assume @p440 (forall @t396 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t434 @t395)))) % 65.02/65.24 (assume @p441 (forall (@list @t17 @t19 @t21) (=> (= @t21 @t424) (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t21 @t17)))) % 65.02/65.24 (assume @p442 (forall @t279 (= (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t421) @t428))) % 65.02/65.24 (assume @p443 (forall @t413 (=> @t379 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t476 @t475)))) % 65.02/65.24 (assume @p444 (forall @t413 (=> @t379 (tptp.c_Orderings_Oord__class_Oless__eq @t19 @t472 @t473)))) % 65.02/65.24 (assume @p445 (forall (@list @t29 @t21 @t19) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t440) (or @t428 (= @t21 @t440))))) % 65.02/65.24 (assume @p446 (forall @t354 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t444 @t350) @t451) @t543))) % 65.02/65.24 (assume @p447 (forall (@list @t162 @t56 @t208 @t19) (=> @t293 (=> @t568 (tptp.c_member @t58 @t208 (tptp.c_Transitive__Closure_Otrancl @t19 @t162)))))) % 65.02/65.24 (assume @p448 (forall @t500 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t499 @t498))) % 65.02/65.24 (assume @p449 (forall (@list @t598 @t56 @t19) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Relation_OImage @t19 @t19 @t56 @t598) @t598) (= (tptp.c_Relation_OImage @t19 @t19 @t204 @t598) @t598)))) % 65.02/65.24 (assume @p450 (forall @t376 (tptp.c_Orderings_Oord__class_Oless__eq @t316 @t375 @t373))) % 65.02/65.24 (assume @p451 (forall (@list @t21 @t44 @t19) (=> @t489 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 (tptp.c_Relation_OImage @t19 @t19 @t44 @t21)) @t428)))) % 65.02/65.24 (assume @p452 (forall @t362 (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Relation_ODomain @t19 @t45 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t361 @t21 @t17)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t360 @t359)))) % 65.02/65.24 (assume @p453 (forall @t362 (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Relation_ORange @t45 @t19 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t344 @t21 @t17)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t343 @t342)))) % 65.02/65.24 (assume @p454 (forall @t203 (= @t532 (tptp.c_Set_Oinsert @t328 @t527 @t537)))) % 65.02/65.24 (assume @p455 (forall (@list @t599 @t598 @t56 @t21 @t19) (=> @t524 (=> @t602 (=> @t601 (or @t600 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t598 @t599) @t421))))))) % 65.02/65.24 (assume @p456 (forall (@list @t56 @t21 @t29 @t19) (=> @t84 (tptp.c_member @t328 @t527 @t538)))) % 65.02/65.24 (assume @p457 (forall @t525 (=> @t524 (=> @t180 @t530)))) % 65.02/65.24 (assume @p458 (forall @t605 (=> @t524 (=> @t602 (=> @t601 (=> @t604 (=> @t603 (= @t600 @t284)))))))) % 65.02/65.24 (assume @p459 (forall @t605 (=> @t524 (=> @t602 (=> @t601 (=> @t604 (=> @t603 (=> @t284 @t600)))))))) % 65.02/65.24 (assume @p460 (forall (@list @t17 @t21 @t56 @t19) (=> @t531 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t387) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t17 @t387) (= (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Relation_OImage @t19 @t19 @t56 @t21) (tptp.c_Relation_OImage @t19 @t19 @t56 @t17)) (forall @t6 (=> @t276 (exists @t159 (and @t447 @t274)))))))))) % 65.02/65.24 (assume @p461 (forall (@list @t56 @t21 @t598 @t19) (=> @t602 (not (forall @t6 (=> (= @t598 (tptp.c_Relation_OImage @t19 @t19 @t56 (tptp.c_Set_Oinsert @t19 @t3 @t421))) @t429)))))) % 65.02/65.24 (assume @p462 (forall (@list @t32 @t28 @t2 @t56 @t45 @t19) (=> (tptp.c_Equiv__Relations_Ocongruent @t19 @t45 @t56 @t2) (=> (tptp.c_member @t58 @t230 @t56) (= @t283 (tptp.hAPP @t2 @t32)))))) % 65.02/65.24 (assume @p463 (forall @t587 (=> (tptp.c_Wellfounded_OwfP @t19 @t56) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t19 @t328) @t208 @t56) (tptp.c_Wellfounded_OwfP @t19 @t208))))) % 65.02/65.24 (assume @p464 (forall (@list @t69 @t2 @t606 @t151 @t45 @t607 @t21 @t19) (=> (tptp.c_Equiv__Relations_Oequiv @t19 @t21 @t607) (=> @t608 (=> @t86 (tptp.c_Equiv__Relations_Ocongruent @t45 @t151 @t606 @t417)))))) % 65.02/65.24 (assume @p465 (forall (@list @t44 @t19 @t28 @t29 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t191 @t283) (=> (tptp.c_member @t58 @t222 @t44) (tptp.c_member @t58 @t222 @t609))))) % 65.02/65.24 (assume @p466 (forall (@list @t383 @t45 @t19 @t28 @t29 @t49) (=> @t612 (=> @t611 @t610)))) % 65.02/65.24 (assume @p467 (forall (@list @t28 @t29 @t383 @t49 @t45 @t19) (=> @t611 (=> @t612 @t610)))) % 65.02/65.24 (assume @p468 (forall (@list @t2 @t44 @t19) (=> @t489 (tptp.c_Wellfounded_Owf @t19 @t609)))) % 65.02/65.24 (assume @p469 (forall (@list @t613 @t615 @t614 @t616 @t2 @t606 @t607 @t151 @t45 @t19) (=> @t608 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t19 @t19 @t616 @t614) @t607) (=> (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t45 @t45 @t615 @t613) @t606) (= (tptp.hAPP (tptp.hAPP @t2 @t616) @t615) (tptp.hAPP (tptp.hAPP @t2 @t614) @t613))))))) % 65.02/65.24 (assume @p470 (forall @t278 (= (tptp.c_Order__Relation_Owell__order__on @t19 @t21 @t56) (and @t522 (tptp.c_Wellfounded_Owf @t19 (tptp.c_Groups_Ominus__class_Ominus @t316 @t56 @t291)))))) % 65.02/65.24 (assume @p471 (forall @t295 (=> (forall (@list @t617) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t617 (tptp.c_Relation_OImage @t19 @t19 @t44 @t617)) (= @t617 @t421))) @t489))) % 65.02/65.24 (assume @p472 (forall @t340 (=> @t22 (=> @t24 @t619)))) % 65.02/65.24 (assume @p473 (forall @t340 (=> @t619 (not @t536)))) % 65.02/65.24 (assume @p474 (forall @t362 (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Groups_Ominus__class_Ominus @t328 @t360 @t359) (tptp.c_Relation_ODomain @t19 @t45 (tptp.c_Groups_Ominus__class_Ominus @t361 @t21 @t17))))) % 65.02/65.24 (assume @p475 (forall @t354 (=> @t535 (=> @t578 (= (tptp.c_Groups_Ominus__class_Ominus @t328 @t17 (tptp.c_Groups_Ominus__class_Ominus @t328 @t350 @t21)) @t21))))) % 65.02/65.24 (assume @p476 (forall (@list @t17 @t539 @t350 @t21 @t19) (=> @t541 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t539 @t17) (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t618 (tptp.c_Groups_Ominus__class_Ominus @t328 @t350 @t539)))))) % 65.02/65.24 (assume @p477 (forall @t346 (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t618 @t21))) % 65.02/65.24 (assume @p478 (forall @t362 (tptp.c_Orderings_Oord__class_Oless__eq @t328 (tptp.c_Groups_Ominus__class_Ominus @t328 @t343 @t342) (tptp.c_Relation_ORange @t45 @t19 (tptp.c_Groups_Ominus__class_Ominus @t344 @t21 @t17))))) % 65.02/65.24 (assume @p479 (forall @t346 (=> @t535 (= @t621 @t17)))) % 65.02/65.24 (assume @p480 (forall @t354 (= (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t618 @t350) (tptp.c_Orderings_Oord__class_Oless__eq @t328 @t21 @t352)))) % 65.02/65.24 (assume @p481 (forall @t346 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t618 @t444) @t21))) % 65.02/65.24 (assume @p482 (forall @t354 (= (tptp.c_Groups_Ominus__class_Ominus @t328 @t21 @t352) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t618 @t622)))) % 65.02/65.24 (assume @p483 (forall @t354 (= (tptp.c_Groups_Ominus__class_Ominus @t328 @t21 @t452) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t618 @t622)))) % 65.02/65.24 (assume @p484 (forall (@list @t29 @t17 @t21 @t45 @t19) (=> (tptp.class_Groups_Ominus @t19) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t378 @t21 @t17) @t29) (tptp.c_Groups_Ominus__class_Ominus @t19 @t82 @t326))))) % 65.02/65.24 (assume @p485 (forall @t346 (= (tptp.c_Groups_Ominus__class_Ominus @t328 @t618 @t17) @t618))) % 65.02/65.24 (assume @p486 (forall @t354 (= (tptp.c_Groups_Ominus__class_Ominus @t328 @t329 @t350) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t622 (tptp.c_Groups_Ominus__class_Ominus @t328 @t17 @t350))))) % 65.02/65.24 (assume @p487 (forall @t545 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t328 @t620 @t21) @t345))) % 65.02/65.24 (assume @p488 (forall @t346 (= @t621 @t329))) % 65.02/65.24 (assume @p489 (forall @t544 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t350 @t618) (tptp.c_Groups_Ominus__class_Ominus @t328 @t453 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t328 @t350 @t17))))) % 65.02/65.24 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p491 (forall @t627 (=> @t626 (tptp.class_Lattices_Obounded__lattice @t625)))) % 65.02/65.24 (assume @p492 (forall @t627 (=> @t626 (tptp.class_Lattices_Obounded__lattice__bot @t625)))) % 65.02/65.24 (assume @p493 (forall @t627 (=> @t628 (tptp.class_Lattices_Osemilattice__sup @t625)))) % 65.02/65.24 (assume @p494 (forall @t627 (=> @t628 (tptp.class_Lattices_Osemilattice__inf @t625)))) % 65.02/65.24 (assume @p495 (forall @t627 (=> (tptp.class_Lattices_Odistrib__lattice @t623) (tptp.class_Lattices_Odistrib__lattice @t625)))) % 65.02/65.24 (assume @p496 (forall @t627 (=> (tptp.class_Orderings_Opreorder @t623) (tptp.class_Orderings_Opreorder @t625)))) % 65.02/65.24 (assume @p497 (forall @t627 (=> @t628 (tptp.class_Lattices_Olattice @t625)))) % 65.02/65.24 (assume @p498 (forall @t627 (=> (tptp.class_Orderings_Oorder @t623) (tptp.class_Orderings_Oorder @t625)))) % 65.02/65.24 (assume @p499 (forall @t627 (=> (tptp.class_Orderings_Oord @t623) (tptp.class_Orderings_Oord @t625)))) % 65.02/65.24 (assume @p500 (forall @t627 (=> (tptp.class_Orderings_Obot @t623) (tptp.class_Orderings_Obot @t625)))) % 65.02/65.24 (assume @p501 (forall @t627 (=> (tptp.class_Groups_Ominus @t623) (tptp.class_Groups_Ominus @t625)))) % 65.02/65.24 (assume @p502 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p503 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p504 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p505 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p506 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p507 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p508 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p509 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p510 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p511 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 65.02/65.24 (assume @p512 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p513 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p514 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p515 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p516 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p517 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p518 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p519 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p520 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p521 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 65.02/65.24 (assume @p522 (forall @t630 (or (not @t629) @t35))) % 65.02/65.24 (assume @p523 (forall @t630 (or @t36 @t629))) % 65.02/65.24 (assume @p524 (not @t635)) % 65.02/65.24 (assume @p525 true) % 65.02/65.24 (step @p526 :rule aci_norm :args ((= (or @t437 @t643) @t642))) % 65.02/65.24 (step @p527 :rule aci_norm :args ((= (or @t641 @t644) @t643))) % 65.02/65.24 (step @p528 :rule aci_norm :args ((= (or @t640 @t645) @t644))) % 65.02/65.24 (step @p529 :rule aci_norm :args ((= (or @t639 @t646) @t645))) % 65.02/65.24 (step @p530 :rule aci_norm :args ((= (or @t638 @t647) @t646))) % 65.02/65.24 (step @p531 :rule aci_norm :args ((= (or @t637 (or @t636 @t141)) @t647))) % 65.02/65.24 (step @p532 :rule bool-impl-elim :args (@t128 @t141)) % 65.02/65.24 (step @p533 :rule refl :args (@t637)) % 65.02/65.24 (step @p534 :rule nary_cong :premises (@p533 @p532) :args ((or @t637 @t142))) % 65.02/65.24 (step @p535 :rule trans :premises (@p534 @p531)) % 65.02/65.24 (step @p536 :rule bool-impl-elim :args (@t102 @t142)) % 65.02/65.24 (step @p537 :rule trans :premises (@p536 @p535)) % 65.02/65.24 (step @p538 :rule refl :args (@t638)) % 65.02/65.24 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or @t638 @t143))) % 65.02/65.24 (step @p540 :rule trans :premises (@p539 @p530)) % 65.02/65.24 (step @p541 :rule bool-impl-elim :args (@t104 @t143)) % 65.02/65.24 (step @p542 :rule trans :premises (@p541 @p540)) % 65.02/65.24 (step @p543 :rule refl :args (@t639)) % 65.02/65.24 (step @p544 :rule nary_cong :premises (@p543 @p542) :args ((or @t639 @t144))) % 65.02/65.24 (step @p545 :rule trans :premises (@p544 @p529)) % 65.02/65.24 (step @p546 :rule refl :args (@t144)) % 65.02/65.24 (step @p547 :rule bool-double-not-elim :args (@t639)) % 65.02/65.24 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or @t649 @t144))) % 65.02/65.24 (step @p549 :rule bool-impl-elim :args (@t648 @t144)) % 65.02/65.24 (step @p550 :rule trans :premises (@p549 @p548)) % 65.02/65.24 (step @p551 :rule trans :premises (@p550 @p545)) % 65.02/65.24 (step @p552 :rule refl :args (@t640)) % 65.02/65.24 (step @p553 :rule nary_cong :premises (@p552 @p551) :args ((or @t640 @t650))) % 65.02/65.24 (step @p554 :rule trans :premises (@p553 @p528)) % 65.02/65.24 (step @p555 :rule refl :args (@t650)) % 65.02/65.24 (step @p556 :rule bool-double-not-elim :args (@t640)) % 65.02/65.24 (step @p557 :rule nary_cong :premises (@p556 @p555) :args ((or @t652 @t650))) % 65.02/65.24 (step @p558 :rule bool-impl-elim :args (@t651 @t650)) % 65.02/65.24 (step @p559 :rule trans :premises (@p558 @p557)) % 65.02/65.24 (step @p560 :rule trans :premises (@p559 @p554)) % 65.02/65.24 (step @p561 :rule refl :args (@t641)) % 65.02/65.24 (step @p562 :rule nary_cong :premises (@p561 @p560) :args ((or @t641 @t653))) % 65.02/65.24 (step @p563 :rule trans :premises (@p562 @p527)) % 65.02/65.24 (step @p564 :rule refl :args (@t653)) % 65.02/65.24 (step @p565 :rule bool-double-not-elim :args (@t641)) % 65.02/65.24 (step @p566 :rule nary_cong :premises (@p565 @p564) :args ((or @t655 @t653))) % 65.02/65.24 (step @p567 :rule bool-impl-elim :args (@t654 @t653)) % 65.02/65.24 (step @p568 :rule trans :premises (@p567 @p566)) % 65.02/65.24 (step @p569 :rule trans :premises (@p568 @p563)) % 65.02/65.24 (step @p570 :rule refl :args (@t437)) % 65.02/65.24 (step @p571 :rule nary_cong :premises (@p570 @p569) :args ((or @t437 @t656))) % 65.02/65.24 (step @p572 :rule trans :premises (@p571 @p526)) % 65.02/65.24 (step @p573 :rule refl :args (@t656)) % 65.02/65.24 (step @p574 :rule bool-double-not-elim :args (@t437)) % 65.02/65.24 (step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or @t658 @t656))) % 65.02/65.24 (step @p576 :rule bool-impl-elim :args (@t657 @t656)) % 65.02/65.24 (step @p577 :rule trans :premises (@p576 @p575)) % 65.02/65.24 (step @p578 :rule trans :premises (@p577 @p572)) % 65.02/65.24 (step @p579 :rule cong :premises (@p578) :args ((forall @t139 (=> @t657 @t656)))) % 65.02/65.24 (step @p580 :rule refl :args (@t144)) % 65.02/65.24 (step @p581 :rule eq-symm :args (@t67 @t68)) % 65.02/65.24 (step @p582 :rule cong :premises (@p581) :args (@t132)) % 65.02/65.24 (step @p583 :rule cong :premises (@p582 @p580) :args (@t145)) % 65.02/65.24 (step @p584 :rule eq-symm :args (@t69 @t66)) % 65.02/65.24 (step @p585 :rule cong :premises (@p584) :args (@t134)) % 65.02/65.24 (step @p586 :rule cong :premises (@p585 @p583) :args (@t146)) % 65.02/65.24 (step @p587 :rule eq-symm :args (@t68 @t66)) % 65.02/65.24 (step @p588 :rule cong :premises (@p587) :args (@t136)) % 65.02/65.24 (step @p589 :rule cong :premises (@p588 @p586) :args (@t147)) % 65.02/65.24 (step @p590 :rule eq-symm :args (@t69 @t67)) % 65.02/65.24 (step @p591 :rule cong :premises (@p590) :args (@t106)) % 65.02/65.24 (step @p592 :rule cong :premises (@p591 @p589) :args (@t148)) % 65.02/65.24 (step @p593 :rule cong :premises (@p592) :args (@t149)) % 65.02/65.24 (step @p594 :rule trans :premises (@p593 @p579)) % 65.02/65.24 (step @p595 :rule eq_resolve :premises (@p25 @p594)) % 65.02/65.24 (step @p596 :rule refl :args (@t635)) % 65.02/65.24 (step @p597 :rule refl :args (@t659)) % 65.02/65.24 (step @p598 :rule refl :args (@t660)) % 65.02/65.24 (step @p599 :rule refl :args (@t661)) % 65.02/65.24 (step @p600 :rule eq-symm :args (tptp.v_a_H____ tptp.v_b____)) % 65.02/65.24 (step @p601 :rule eq-symm :args (tptp.v_b_H____ tptp.v_a____)) % 65.02/65.24 (step @p602 :rule refl :args (@t662)) % 65.02/65.24 (step @p603 :rule refl :args (@t663)) % 65.02/65.24 (step @p604 :rule nary_cong :premises (@p603 @p602 @p601 @p600 @p599 @p598 @p597 @p596) :args (@t666)) % 65.02/65.24 (step @p605 :rule refl :args (@t667)) % 65.02/65.24 (step @p606 :rule cong :premises (@p605 @p604) :args ((=> @t667 @t666))) % 65.02/65.24 (assume-push @p1281 @t667) % 65.02/65.24 (step @p608 :rule instantiate :premises (@p595) :args (@t668)) % 65.02/65.24 (step-pop @p1282 :rule scope :premises (@p608)) % 65.02/65.24 (step @p609 :rule process_scope :premises (@p1282) :args (@t666)) % 65.02/65.24 (step @p611 :rule eq_resolve :premises (@p609 @p606)) % 65.02/65.24 (step @p612 :rule implies_elim :premises (@p611)) % 65.02/65.24 (step @p613 :rule chain_m_resolution :premises (@p612 @p595) :args (@t671 @t672 (@list @t667))) % 65.02/65.24 (step @p614 :rule symm :premises (@p4)) % 65.02/65.24 (step 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scope :premises (@p1414)) % 65.02/65.24 (step @p1231 :rule process_scope :premises (@p1415) :args (@t810)) % 65.02/65.24 (step @p1235 :rule and_intro :premises (@p1409 @p1407 @p1408)) % 65.02/65.24 (step @p1236 :rule modus_ponens :premises (@p1235 @p1231)) % 65.02/65.24 (step-pop @p1416 :rule scope :premises (@p1236)) % 65.02/65.24 (step-pop @p1417 :rule scope :premises (@p1416)) % 65.02/65.24 (step-pop @p1418 :rule scope :premises (@p1417)) % 65.02/65.24 (step @p1237 :rule process_scope :premises (@p1418) :args (@t810)) % 65.02/65.24 (step @p1241 :rule implies_elim :premises (@p1237)) % 65.02/65.24 (step @p1242 :rule cnf_and_neg :args (@t811)) % 65.02/65.24 (step @p1243 :rule resolution :premises (@p1242 @p1241) :args (true @t811)) % 65.02/65.24 (step @p1244 :rule eq_resolve :premises (@p1243 @p1215)) % 65.02/65.24 (step @p1245 :rule reordering :premises (@p1244) :args ((or @t805 @t673 @t716 @t810))) % 65.02/65.24 (step @p1246 :rule chain_m_resolution :premises (@p1245 @p1212 @p1200 @p1198 @p1188 @p1181 @p699 @p697 @p11 @p10 @p671 @p708 @p1186 @p791 @p1185 @p793 @p872 @p870 @p11 @p10 @p671 @p881 @p1184 @p1183 @p1181 @p1179 @p1154 @p645 @p614) :args (@t673 (@list true false false false false false false false false true false false false false false false false false false true false false true false true true true true) (@list @t805 @t801 @t803 @t681 @t632 @t683 @t691 @t43 @t42 @t662 @t689 @t696 @t680 @t715 @t714 @t669 @t737 @t43 @t42 @t662 @t735 @t742 @t720 @t632 @t718 @t634 @t674 @t663))) % 65.02/65.24 (step @p1247 :rule cnf_or_pos :args (@t671)) % 65.02/65.24 (step @p1248 :rule reordering :premises (@p1247) :args ((or @t635 @t663 @t662 @t659 @t661 @t660 @t670 @t669 (not @t671)))) % 65.02/65.24 (step @p1249 :rule chain_m_resolution :premises (@p1248 @p524 @p614 @p671 @p6 @p10 @p11 @p1246 @p613) :args (@t669 (@list true true true false false false true false) (@list @t635 @t663 @t662 @t16 @t42 @t43 @t670 @t671))) % 65.02/65.24 (assume-push @p1419 @t632) % 65.02/65.24 (assume-push @p1420 @t669) % 65.02/65.24 (assume-push @p1421 @t632) % 65.02/65.24 (assume-push @p1422 @t669) % 65.02/65.24 (step @p1254 :rule true_intro :premises (@p1419)) % 65.02/65.24 (step @p1054 :rule refl :args (@t631)) % 65.02/65.24 (step @p1055 :rule refl :args (tptp.v_b_H____)) % 65.02/65.24 (step @p801 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 65.02/65.24 (step @p1255 :rule cong :premises (@p801 @p801 @p1420 @p1055) :args (@t769)) % 65.02/65.24 (step @p654 :rule refl :args (@t10)) % 65.02/65.24 (step @p1256 :rule cong :premises (@p654 @p1255 @p1054) :args (@t770)) % 65.02/65.24 (step @p1257 :rule trans :premises (@p1256 @p1254)) % 65.02/65.24 (step @p1258 :rule true_elim :premises (@p1257)) % 65.02/65.24 (step-pop @p1423 :rule scope :premises (@p1258)) % 65.02/65.24 (step-pop @p1424 :rule scope :premises (@p1423)) % 65.02/65.24 (step @p1259 :rule process_scope :premises (@p1424) :args (@t770)) % 65.02/65.24 (step @p1262 :rule and_intro :premises (@p1419 @p1420)) % 65.02/65.24 (step @p1263 :rule modus_ponens :premises (@p1262 @p1259)) % 65.02/65.24 (step-pop @p1425 :rule scope :premises (@p1263)) % 65.02/65.24 (step-pop @p1426 :rule scope :premises (@p1425)) % 65.02/65.24 (step @p1264 :rule process_scope :premises (@p1426) :args (@t770)) % 65.02/65.24 (step @p1267 :rule implies_elim :premises (@p1264)) % 65.02/65.24 (step @p1268 :rule cnf_and_neg :args (@t812)) % 65.02/65.24 (step @p1269 :rule resolution :premises (@p1268 @p1267) :args (true @t812)) % 65.02/65.24 (step @p1270 :rule chain_m_resolution :premises (@p1269 @p1181 @p1249) :args (@t770 (@list false false) (@list @t632 @t669))) % 65.02/65.24 (step @p1271 :rule cnf_equiv_pos2 :args (@t774)) % 65.02/65.24 (step @p1272 :rule reordering :premises (@p1271) :args ((or @t634 @t771 @t775))) % 65.02/65.24 (step @p1273 :rule chain_m_resolution :premises (@p1272 @p1154 @p1270) :args (@t775 @t809 (@list @t634 @t770))) % 65.02/65.24 (step @p1274 :rule chain_m_resolution :premises (@p1045 @p671 @p1249) :args (@t675 @t809 (@list @t662 @t669))) % 65.02/65.24 (step @p1275 :rule chain_m_resolution :premises (@p1088 @p614 @p10 @p11 @p1274 @p1246 @p1273 @p1086) :args (@t777 (@list true false false true true true false) (@list @t663 @t42 @t43 @t674 @t670 @t774 @t780))) % 65.02/65.24 (step @p1276 :rule chain_m_resolution :premises (@p1097 @p1275) :args (@t786 @t796 (@list @t776))) % 65.02/65.24 (step @p1277 :rule chain_m_resolution :premises (@p1128 @p1249 @p1276) :args (@t790 (@list false true) (@list @t669 @t785))) % 65.02/65.24 (step @p1278 :rule chain_m_resolution :premises (@p1130 @p1277 @p1276) :args (@t783 (@list true true) (@list @t784 @t785))) % 65.02/65.24 (step @p1279 :rule chain_m_resolution :premises (@p1132 @p1277 @p1099) :args (@t791 @t809 (@list @t784 @t788))) % 65.02/65.24 (step @p1280 false :rule chain_m_resolution :premises (@p1153 @p1279 @p1278 @p1249) :args (false (@list true false false) (@list @t787 @t783 @t669))) % 65.02/65.24 ) % 65.02/65.24 % SZS output end Proof % 65.02/65.24 % cvc5 exiting %------------------------------------------------------------------------------