%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT156+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:23 AM UTC 2026 % Result : Theorem 1.10s 1.36s % Output : Proof 1.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SCT156+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 09:31:45 EDT 2026 % 0.06/0.25 % CPUTime : % 0.14/0.40 %----Proving TF0_NAR, FOF, or CNF % 1.10/1.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.10/1.36 % SZS status Theorem % 1.10/1.36 % SZS output start Proof % 1.10/1.36 ( % 1.10/1.36 (declare-sort $$unsorted 0) % 1.10/1.36 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.10/1.36 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.10/1.36 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.10/1.36 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.v_b____ $$unsorted) % 1.10/1.36 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.v_a____ $$unsorted) % 1.10/1.36 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.v_b_H____ $$unsorted) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.10/1.36 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.v_F $$unsorted) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 1.10/1.36 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.v_a_H____ $$unsorted) % 1.10/1.36 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.v_P____ $$unsorted) % 1.10/1.36 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.v_P_H____ $$unsorted) % 1.10/1.36 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.10/1.36 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.10/1.36 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.10/1.36 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.10/1.36 (define @t3 () (@var "B_x" $$unsorted)) % 1.10/1.36 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.10/1.36 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.10/1.36 (define @t6 () (@list @t3)) % 1.10/1.36 (define @t7 () (= tptp.v_b____ tptp.v_a_H____)) % 1.10/1.36 (define @t8 () (not @t7)) % 1.10/1.36 (define @t9 () (= tptp.v_a____ tptp.v_b_H____)) % 1.10/1.36 (define @t10 () (@var "B_i" $$unsorted)) % 1.10/1.36 (define @t11 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a_H____ tptp.v_b_H____)) % 1.10/1.36 (define @t12 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.10/1.36 (define @t13 () (tptp.c_member @t12 @t11 (tptp.hAPP tptp.v_P_H____ @t10))) % 1.10/1.36 (define @t14 () (tptp.hAPP tptp.v_P____ @t10)) % 1.10/1.36 (define @t15 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____)) % 1.10/1.36 (define @t16 () (@list @t10)) % 1.10/1.36 (define @t17 () (forall @t16 (= (tptp.c_member @t12 @t15 @t14) @t13))) % 1.10/1.36 (define @t18 () (tptp.c_member @t12 @t11 (tptp.hAPP tptp.v_F tptp.v_P_H____))) % 1.10/1.36 (define @t19 () (tptp.hAPP tptp.v_F tptp.v_P____)) % 1.10/1.36 (define @t20 () (tptp.c_member @t12 @t15 @t19)) % 1.10/1.36 (define @t21 () (= @t20 @t18)) % 1.10/1.36 (define @t22 () (not @t9)) % 1.10/1.36 (define @t23 () (tptp.tc_fun @t12 tptp.tc_HOL_Obool)) % 1.10/1.36 (define @t24 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t23)) % 1.10/1.36 (define @t25 () (tptp.c_member @t24 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.10/1.36 (define @t26 () (tptp.c_member @t24 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.10/1.36 (define @t27 () (@var "V_B_2" $$unsorted)) % 1.10/1.36 (define @t28 () (@var "V_c_2" $$unsorted)) % 1.10/1.36 (define @t29 () (@var "T_a" $$unsorted)) % 1.10/1.36 (define @t30 () (tptp.c_member @t29 @t28 @t27)) % 1.10/1.36 (define @t31 () (@var "V_A_2" $$unsorted)) % 1.10/1.36 (define @t32 () (tptp.c_member @t29 @t28 @t31)) % 1.10/1.36 (define @t33 () (=> (not @t32) @t30)) % 1.10/1.36 (define @t34 () (not @t30)) % 1.10/1.36 (define @t35 () (=> @t32 @t34)) % 1.10/1.36 (define @t36 () (= @t31 @t27)) % 1.10/1.36 (define @t37 () (@var "V_L_2" $$unsorted)) % 1.10/1.36 (define @t38 () (@var "V_y_2" $$unsorted)) % 1.10/1.36 (define @t39 () (@var "V_x_2" $$unsorted)) % 1.10/1.36 (define @t40 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t39 @t38)) % 1.10/1.36 (define @t41 () (tptp.c_member @t12 @t40 @t37)) % 1.10/1.36 (define @t42 () (@var "V_z_2" $$unsorted)) % 1.10/1.36 (define @t43 () (= @t39 @t42)) % 1.10/1.36 (define @t44 () (not @t43)) % 1.10/1.36 (define @t45 () (= @t39 @t38)) % 1.10/1.36 (define @t46 () (not @t45)) % 1.10/1.36 (define @t47 () (= @t38 @t42)) % 1.10/1.36 (define @t48 () (not @t47)) % 1.10/1.36 (define @t49 () (@list @t42 @t37 @t38 @t39)) % 1.10/1.36 (define @t50 () (@var "V_R_2" $$unsorted)) % 1.10/1.36 (define @t51 () (@var "T_b" $$unsorted)) % 1.10/1.36 (define @t52 () (tptp.c_Product__Type_OPair @t29 @t51 @t39 @t38)) % 1.10/1.36 (define @t53 () (tptp.tc_prod @t29 @t51)) % 1.10/1.36 (define @t54 () (@var "V_Pa_2" $$unsorted)) % 1.10/1.36 (define @t55 () (tptp.c_Recdef_Osame__fst @t29 @t51 @t54 @t50)) % 1.10/1.36 (define @t56 () (@var "V_y_H_2" $$unsorted)) % 1.10/1.36 (define @t57 () (tptp.tc_prod @t53 @t53)) % 1.10/1.36 (define @t58 () (tptp.tc_prod @t51 @t51)) % 1.10/1.36 (define @t59 () (tptp.hAPP @t54 @t39)) % 1.10/1.36 (define @t60 () (tptp.hBOOL @t59)) % 1.10/1.36 (define @t61 () (@var "V_P_Ha_2" $$unsorted)) % 1.10/1.36 (define @t62 () (tptp.hAPP tptp.v_F @t61)) % 1.10/1.36 (define @t63 () (@var "V_ba_2" $$unsorted)) % 1.10/1.36 (define @t64 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t63 @t28)) % 1.10/1.36 (define @t65 () (@var "V_aa_2" $$unsorted)) % 1.10/1.36 (define @t66 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t65 @t63)) % 1.10/1.36 (define @t67 () (tptp.c_member @t12 @t66 (tptp.hAPP tptp.v_F @t54))) % 1.10/1.36 (define @t68 () (= @t67 (tptp.c_member @t12 @t64 @t62))) % 1.10/1.36 (define @t69 () (tptp.hAPP @t61 @t10)) % 1.10/1.36 (define @t70 () (tptp.c_member @t12 @t66 (tptp.hAPP @t54 @t10))) % 1.10/1.36 (define @t71 () (forall @t16 (= @t70 (tptp.c_member @t12 @t64 @t69)))) % 1.10/1.36 (define @t72 () (=> @t71 @t68)) % 1.10/1.36 (define @t73 () (tptp.c_member @t24 @t61 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.10/1.36 (define @t74 () (=> @t73 @t72)) % 1.10/1.36 (define @t75 () (tptp.c_member @t24 @t54 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.10/1.36 (define @t76 () (=> @t75 @t74)) % 1.10/1.36 (define @t77 () (= @t65 @t28)) % 1.10/1.36 (define @t78 () (not @t77)) % 1.10/1.36 (define @t79 () (=> @t78 @t76)) % 1.10/1.36 (define @t80 () (= @t63 @t28)) % 1.10/1.36 (define @t81 () (not @t80)) % 1.10/1.36 (define @t82 () (=> @t81 @t79)) % 1.10/1.36 (define @t83 () (= @t65 @t63)) % 1.10/1.36 (define @t84 () (not @t83)) % 1.10/1.36 (define @t85 () (=> @t84 @t82)) % 1.10/1.36 (define @t86 () (@list @t61 @t54 @t28 @t63 @t65)) % 1.10/1.36 (define @t87 () (forall @t86 @t85)) % 1.10/1.36 (define @t88 () (@var "V_r_2" $$unsorted)) % 1.10/1.36 (define @t89 () (tptp.c_Product__Type_OPair @t29 @t29 @t3 @t3)) % 1.10/1.36 (define @t90 () (tptp.tc_prod @t29 @t29)) % 1.10/1.36 (define @t91 () (tptp.c_member @t90 @t89 @t88)) % 1.10/1.36 (define @t92 () (@list @t88 @t29)) % 1.10/1.36 (define @t93 () (@var "B_b" $$unsorted)) % 1.10/1.36 (define @t94 () (@var "B_a" $$unsorted)) % 1.10/1.36 (define @t95 () (tptp.c_Product__Type_OPair @t29 @t51 @t94 @t93)) % 1.10/1.36 (define @t96 () (@list @t94 @t93)) % 1.10/1.36 (define @t97 () (@var "B_x1" $$unsorted)) % 1.10/1.36 (define @t98 () (@var "V_b_Ha_2" $$unsorted)) % 1.10/1.36 (define @t99 () (@var "V_a_Ha_2" $$unsorted)) % 1.10/1.36 (define @t100 () (= @t65 @t99)) % 1.10/1.36 (define @t101 () (tptp.c_Product__Type_OPair @t29 @t51 @t99 @t98)) % 1.10/1.36 (define @t102 () (tptp.c_Product__Type_OPair @t29 @t51 @t65 @t63)) % 1.10/1.36 (define @t103 () (@var "V_b_H" $$unsorted)) % 1.10/1.36 (define @t104 () (@var "V_b" $$unsorted)) % 1.10/1.36 (define @t105 () (@var "V_a_H" $$unsorted)) % 1.10/1.36 (define @t106 () (@var "V_a" $$unsorted)) % 1.10/1.36 (define @t107 () (tptp.c_member @t29 @t65 @t31)) % 1.10/1.36 (define @t108 () (tptp.c_member @t29 @t63 @t31)) % 1.10/1.36 (define @t109 () (@list @t31 @t29 @t63 @t65)) % 1.10/1.36 (define @t110 () (tptp.c_member @t29 @t38 @t31)) % 1.10/1.36 (define @t111 () (tptp.c_member @t29 @t39 @t31)) % 1.10/1.36 (define @t112 () (tptp.c_member @t29 @t39 @t27)) % 1.10/1.36 (define @t113 () (tptp.hAPP @t31 @t39)) % 1.10/1.36 (define @t114 () (tptp.hBOOL @t113)) % 1.10/1.36 (define @t115 () (@list @t31 @t39 @t29)) % 1.10/1.36 (define @t116 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t63 @t65)) % 1.10/1.36 (define @t117 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t99 @t98)) % 1.10/1.36 (define @t118 () (tptp.c_member @t12 @t117 @t62)) % 1.10/1.36 (define @t119 () (forall @t16 (= @t70 (tptp.c_member @t12 @t117 @t69)))) % 1.10/1.36 (define @t120 () (not (= @t63 @t99))) % 1.10/1.36 (define @t121 () (not (= @t65 @t98))) % 1.10/1.36 (define @t122 () (not (= @t99 @t98))) % 1.10/1.36 (define @t123 () (@list @t61 @t54 @t98 @t99 @t63 @t65)) % 1.10/1.36 (define @t124 () (@var "V_f1_2" $$unsorted)) % 1.10/1.36 (define @t125 () (@var "T_c" $$unsorted)) % 1.10/1.36 (define @t126 () (tptp.c_Product__Type_OPair @t51 @t125 @t65 @t63)) % 1.10/1.36 (define @t127 () (@var "B_xa" $$unsorted)) % 1.10/1.36 (define @t128 () (@var "V_Fa_2" $$unsorted)) % 1.10/1.36 (define @t129 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t94 @t93)) % 1.10/1.36 (define @t130 () (tptp.hAPP @t128 @t3)) % 1.10/1.36 (define @t131 () (tptp.c_member @t12 @t129 @t130)) % 1.10/1.36 (define @t132 () (tptp.c_member @t12 @t129 (tptp.hAPP @t3 @t10))) % 1.10/1.36 (define @t133 () (@list @t127)) % 1.10/1.36 (define @t134 () (tptp.c_member @t24 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.10/1.36 (define @t135 () (@list @t128)) % 1.10/1.36 (define @t136 () (@var "V_s_2" $$unsorted)) % 1.10/1.36 (define @t137 () (@var "V_i_2" $$unsorted)) % 1.10/1.36 (define @t138 () (@var "B_z" $$unsorted)) % 1.10/1.36 (define @t139 () (@var "B_g" $$unsorted)) % 1.10/1.36 (define @t140 () (@var "V_a1_2" $$unsorted)) % 1.10/1.36 (define @t141 () (@list @t138)) % 1.10/1.36 (define @t142 () (forall @t141 (=> (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t138 @t140) @t50) (tptp.c_Recdef_Owfrec__rel @t29 @t51 @t50 @t128 @t138 (tptp.hAPP @t139 @t138))))) % 1.10/1.36 (define @t143 () (tptp.hAPP (tptp.hAPP @t128 @t139) @t140)) % 1.10/1.36 (define @t144 () (@var "V_a2_2" $$unsorted)) % 1.10/1.36 (define @t145 () (tptp.hAPP (tptp.hAPP @t128 @t144) @t140)) % 1.10/1.36 (define @t146 () (@list @t139)) % 1.10/1.36 (define @t147 () (@list @t144 @t140 @t128 @t50 @t51 @t29)) % 1.10/1.36 (define @t148 () (tptp.c_member @t23 @t37 tptp.c_Arrow__Order__Mirabelle_OLin)) % 1.10/1.36 (define @t149 () (@list @t39 @t37)) % 1.10/1.36 (define @t150 () (= @t38 @t63)) % 1.10/1.36 (define @t151 () (= @t39 @t65)) % 1.10/1.36 (define @t152 () (= @t39 @t63)) % 1.10/1.36 (define @t153 () (@list @t38 @t39 @t37 @t63 @t65)) % 1.10/1.36 (define @t154 () (= @t38 @t65)) % 1.10/1.36 (define @t155 () (@list @t37 @t38 @t39)) % 1.10/1.36 (define @t156 () (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t138 @t39) @t50)) % 1.10/1.36 (define @t157 () (tptp.c_Wellfounded_Oacc @t29 @t88)) % 1.10/1.36 (define @t158 () (tptp.c_member @t29 @t3 @t157)) % 1.10/1.36 (define @t159 () (tptp.c_member @t29 @t65 @t157)) % 1.10/1.36 (define @t160 () (@list @t88 @t65 @t29)) % 1.10/1.36 (define @t161 () (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t63)) % 1.10/1.36 (define @t162 () (tptp.c_member @t90 @t161 @t88)) % 1.10/1.36 (define @t163 () (tptp.c_member @t29 @t63 @t157)) % 1.10/1.36 (define @t164 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t29 @t51 tptp.tc_HOL_Obool @t2 @t65 @t63))) % 1.10/1.36 (define @t165 () (tptp.hBOOL (tptp.hAPP @t2 @t102))) % 1.10/1.36 (define @t166 () (tptp.c_Wellfounded_Oacc @t29 @t50)) % 1.10/1.36 (define @t167 () (tptp.c_member @t29 @t39 @t157)) % 1.10/1.36 (define @t168 () (@var "B_y" $$unsorted)) % 1.10/1.36 (define @t169 () (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t168 @t39) @t88)) % 1.10/1.36 (define @t170 () (@list @t168)) % 1.10/1.36 (define @t171 () (@list @t88 @t39 @t29)) % 1.10/1.36 (define @t172 () (tptp.c_Transitive__Closure_Ortrancl @t29 @t88)) % 1.10/1.36 (define @t173 () (tptp.c_Product__Type_OPair @t29 @t29 @t63 @t65)) % 1.10/1.36 (define @t174 () (tptp.c_member @t90 @t173 @t172)) % 1.10/1.36 (define @t175 () (tptp.hAPP @t2 @t39)) % 1.10/1.36 (define @t176 () (tptp.c_Recdef_Ocut @t29 @t51 @t2 @t88 @t65)) % 1.10/1.36 (define @t177 () (tptp.c_Product__Type_OPair @t29 @t29 @t39 @t65)) % 1.10/1.36 (define @t178 () (tptp.c_member @t90 @t177 @t88)) % 1.10/1.36 (define @t179 () (@var "B_f" $$unsorted)) % 1.10/1.36 (define @t180 () (@var "B_R" $$unsorted)) % 1.10/1.36 (define @t181 () (@var "B_L" $$unsorted)) % 1.10/1.36 (define @t182 () (@list @t38 @t39 @t29)) % 1.10/1.36 (define @t183 () (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t65)) % 1.10/1.36 (define @t184 () (@var "V_p_2" $$unsorted)) % 1.10/1.36 (define @t185 () (tptp.c_member @t90 @t184 @t88)) % 1.10/1.36 (define @t186 () (@list @t88 @t184 @t29)) % 1.10/1.36 (define @t187 () (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t28)) % 1.10/1.36 (define @t188 () (tptp.c_member @t90 @t187 @t172)) % 1.10/1.36 (define @t189 () (tptp.c_Product__Type_OPair @t29 @t29 @t63 @t28)) % 1.10/1.36 (define @t190 () (tptp.c_member @t90 @t189 @t172)) % 1.10/1.36 (define @t191 () (=> @t190 @t188)) % 1.10/1.36 (define @t192 () (@list @t28 @t88 @t63 @t65 @t29)) % 1.10/1.36 (define @t193 () (tptp.c_member @t90 @t189 @t88)) % 1.10/1.36 (define @t194 () (tptp.c_member @t90 @t161 @t172)) % 1.10/1.36 (define @t195 () (tptp.c_Transitive__Closure_Ortrancl @t29 @t50)) % 1.10/1.36 (define @t196 () (tptp.c_Product__Type_OPair @t29 @t29 @t39 @t38)) % 1.10/1.36 (define @t197 () (tptp.c_member @t90 @t196 @t195)) % 1.10/1.36 (define @t198 () (tptp.c_Product__Type_OPair @t29 @t29 @t38 @t42)) % 1.10/1.36 (define @t199 () (tptp.c_Product__Type_OPair @t29 @t29 @t39 @t42)) % 1.10/1.36 (define @t200 () (tptp.c_member @t90 @t199 @t172)) % 1.10/1.36 (define @t201 () (tptp.c_member @t90 @t196 @t172)) % 1.10/1.36 (define @t202 () (tptp.c_Relation_ODomain @t29 @t51 @t88)) % 1.10/1.36 (define @t203 () (tptp.c_member @t29 @t65 @t202)) % 1.10/1.36 (define @t204 () (tptp.c_member @t53 @t102 @t88)) % 1.10/1.36 (define @t205 () (@list @t88 @t63 @t65 @t51 @t29)) % 1.10/1.36 (define @t206 () (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t29 @t51 @t65 @t168) @t88)) % 1.10/1.36 (define @t207 () (@list @t88 @t51 @t65 @t29)) % 1.10/1.36 (define @t208 () (tptp.c_Relation_Osingle__valued @t29 @t51 @t88)) % 1.10/1.36 (define @t209 () (@list @t3 @t168)) % 1.10/1.36 (define @t210 () (forall @t209 (=> (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t29 @t51 @t3 @t168) @t88) (forall @t141 (=> (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t29 @t51 @t3 @t138) @t88) (= @t168 @t138)))))) % 1.10/1.36 (define @t211 () (@list @t88 @t51 @t29)) % 1.10/1.36 (define @t212 () (@var "V_by_2" $$unsorted)) % 1.10/1.36 (define @t213 () (@var "V_bx_2" $$unsorted)) % 1.10/1.36 (define @t214 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t213) @t212))) % 1.10/1.36 (define @t215 () (@var "B_ba" $$unsorted)) % 1.10/1.36 (define @t216 () (@var "B_aa" $$unsorted)) % 1.10/1.36 (define @t217 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t216) @t215))) % 1.10/1.36 (define @t218 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t94) @t93))) % 1.10/1.36 (define @t219 () (tptp.c_Product__Type_OPair @t29 @t51 @t216 @t215)) % 1.10/1.36 (define @t220 () (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t95 @t219) @t88)) % 1.10/1.36 (define @t221 () (tptp.c_Transitive__Closure_Ortrancl @t53 @t88)) % 1.10/1.36 (define @t222 () (@var "V_ay_2" $$unsorted)) % 1.10/1.36 (define @t223 () (@var "V_ax_2" $$unsorted)) % 1.10/1.36 (define @t224 () (tptp.c_Product__Type_OPair @t29 @t51 @t223 @t222)) % 1.10/1.36 (define @t225 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t54 @t223) @t222))) % 1.10/1.36 (define @t226 () (tptp.c_Product__Type_OPair @t29 @t51 @t213 @t212)) % 1.10/1.36 (define @t227 () (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t224 @t226) @t221)) % 1.10/1.36 (define @t228 () (@list @t54 @t88 @t212 @t213 @t222 @t223 @t51 @t29)) % 1.10/1.36 (define @t229 () (@var "V_zb_2" $$unsorted)) % 1.10/1.36 (define @t230 () (@var "V_za_2" $$unsorted)) % 1.10/1.36 (define @t231 () (tptp.c_Product__Type_OPair @t29 @t51 @t230 @t229)) % 1.10/1.36 (define @t232 () (@var "V_xb_2" $$unsorted)) % 1.10/1.36 (define @t233 () (@var "V_xa_2" $$unsorted)) % 1.10/1.36 (define @t234 () (tptp.c_Product__Type_OPair @t29 @t51 @t233 @t232)) % 1.10/1.36 (define @t235 () (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t168) @t172)) % 1.10/1.36 (define @t236 () (@list @t88 @t63 @t65 @t29)) % 1.10/1.36 (define @t237 () (tptp.c_Relation_OId__on @t29 @t31)) % 1.10/1.36 (define @t238 () (@list @t31 @t38 @t39 @t29)) % 1.10/1.36 (define @t239 () (tptp.hBOOL (tptp.hAPP @t54 @t63))) % 1.10/1.36 (define @t240 () (tptp.hBOOL (tptp.hAPP @t54 @t138))) % 1.10/1.36 (define @t241 () (tptp.hBOOL (tptp.hAPP @t54 @t168))) % 1.10/1.36 (define @t242 () (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t168 @t138) @t88)) % 1.10/1.36 (define @t243 () (tptp.hBOOL (tptp.hAPP @t54 @t65))) % 1.10/1.36 (define @t244 () (@list @t54 @t88 @t63 @t65 @t29)) % 1.10/1.36 (define @t245 () (tptp.c_Product__Type_OPair @t29 @t29 @t168 @t42)) % 1.10/1.36 (define @t246 () (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t39 @t168) @t88)) % 1.10/1.36 (define @t247 () (@list @t88 @t42 @t39 @t29)) % 1.10/1.36 (define @t248 () (@list @t31 @t29)) % 1.10/1.36 (define @t249 () (tptp.tc_prod @t51 @t29)) % 1.10/1.36 (define @t250 () (tptp.c_Relation_ORange @t51 @t29 @t88)) % 1.10/1.36 (define @t251 () (tptp.c_member @t29 @t3 @t31)) % 1.10/1.36 (define @t252 () (tptp.c_member @t249 (tptp.c_Product__Type_OPair @t51 @t29 @t3 @t63) @t88)) % 1.10/1.36 (define @t253 () (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t127 @t3) @t88)) % 1.10/1.36 (define @t254 () (not (= @t3 @t127))) % 1.10/1.36 (define @t255 () (tptp.c_Relation_Ototal__on @t29 @t31 @t88)) % 1.10/1.36 (define @t256 () (@list @t88 @t31 @t29)) % 1.10/1.36 (define @t257 () (tptp.hAPP @t2 @t38)) % 1.10/1.36 (define @t258 () (tptp.c_member @t90 @t196 @t88)) % 1.10/1.36 (define @t259 () (tptp.c_Relation_Orefl__on @t29 @t31 @t88)) % 1.10/1.36 (define @t260 () (@list @t38 @t39 @t88 @t31 @t29)) % 1.10/1.36 (define @t261 () (tptp.c_member @t90 @t183 @t88)) % 1.10/1.36 (define @t262 () (@list @t65 @t88 @t31 @t29)) % 1.10/1.36 (define @t263 () (tptp.c_Transitive__Closure_Otrancl @t29 @t88)) % 1.10/1.36 (define @t264 () (tptp.c_member @t90 @t161 @t263)) % 1.10/1.36 (define @t265 () (tptp.c_member @t90 @t184 @t263)) % 1.10/1.36 (define @t266 () (tptp.c_Transitive__Closure_Otrancl @t29 @t50)) % 1.10/1.36 (define @t267 () (@list @t50 @t29)) % 1.10/1.36 (define @t268 () (tptp.c_Relation_ODomain @t29 @t29 @t88)) % 1.10/1.36 (define @t269 () (tptp.c_Relation_ORange @t29 @t29 @t88)) % 1.10/1.36 (define @t270 () (tptp.c_member @t90 @t187 @t263)) % 1.10/1.36 (define @t271 () (=> (tptp.c_member @t90 @t189 @t263) @t270)) % 1.10/1.36 (define @t272 () (=> @t193 @t270)) % 1.10/1.36 (define @t273 () (tptp.c_member @t90 @t196 @t266)) % 1.10/1.36 (define @t274 () (@list @t50 @t38 @t39 @t29)) % 1.10/1.36 (define @t275 () (=> @t190 @t270)) % 1.10/1.36 (define @t276 () (tptp.c_member @t90 @t199 @t263)) % 1.10/1.36 (define @t277 () (tptp.c_Product__Type_OPair @t29 @t29 @t138 @t38)) % 1.10/1.36 (define @t278 () (tptp.c_Product__Type_OPair @t29 @t29 @t39 @t138)) % 1.10/1.36 (define @t279 () (forall @t6 (not (tptp.c_member @t90 @t89 @t263)))) % 1.10/1.36 (define @t280 () (tptp.c_Wellfounded_Oacyclic @t29 @t88)) % 1.10/1.36 (define @t281 () (@var "B_c" $$unsorted)) % 1.10/1.36 (define @t282 () (tptp.c_Relation_OId @t29)) % 1.10/1.36 (define @t283 () (@list @t65 @t29)) % 1.10/1.36 (define @t284 () (@list @t29)) % 1.10/1.36 (define @t285 () (@list @t63 @t65 @t29)) % 1.10/1.36 (define @t286 () (not @t201)) % 1.10/1.36 (define @t287 () (tptp.c_Product__Type_OPair @t29 @t29 @t38 @t39)) % 1.10/1.36 (define @t288 () (tptp.c_Set_Oinsert @t90 @t287 @t88)) % 1.10/1.36 (define @t289 () (@list @t88 @t39 @t38 @t29)) % 1.10/1.36 (define @t290 () (tptp.tc_fun @t90 tptp.tc_HOL_Obool)) % 1.10/1.36 (define @t291 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t88 @t282)) % 1.10/1.36 (define @t292 () (tptp.c_member @t90 @t173 @t88)) % 1.10/1.36 (define @t293 () (tptp.c_Relation_Oantisym @t29 @t88)) % 1.10/1.36 (define @t294 () (@list @t63 @t65 @t88 @t29)) % 1.10/1.36 (define @t295 () (tptp.hAPP @t27 @t39)) % 1.10/1.36 (define @t296 () (tptp.hBOOL @t295)) % 1.10/1.36 (define @t297 () (tptp.tc_fun @t29 tptp.tc_HOL_Obool)) % 1.10/1.36 (define @t298 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t27)) % 1.10/1.36 (define @t299 () (tptp.hBOOL (tptp.hAPP @t298 @t39))) % 1.10/1.36 (define @t300 () (@list @t39 @t27 @t31 @t29)) % 1.10/1.36 (define @t301 () (not @t296)) % 1.10/1.36 (define @t302 () (tptp.c_member @t29 @t65 (tptp.c_Set_Oinsert @t29 @t63 @t31))) % 1.10/1.36 (define @t303 () (@list @t31 @t63 @t65 @t29)) % 1.10/1.36 (define @t304 () (tptp.c_Set_Oinsert @t29 @t63 @t27)) % 1.10/1.36 (define @t305 () (tptp.c_member @t29 @t65 @t304)) % 1.10/1.36 (define @t306 () (tptp.c_member @t29 @t65 @t27)) % 1.10/1.36 (define @t307 () (@list @t63 @t27 @t65 @t29)) % 1.10/1.36 (define @t308 () (tptp.c_member @t29 @t28 @t298)) % 1.10/1.36 (define @t309 () (@list @t27 @t31 @t28 @t29)) % 1.10/1.36 (define @t310 () (@list @t31 @t27 @t28 @t29)) % 1.10/1.36 (define @t311 () (tptp.c_Relation_ORange @t51 @t29 @t27)) % 1.10/1.36 (define @t312 () (tptp.c_Relation_ORange @t51 @t29 @t31)) % 1.10/1.36 (define @t313 () (tptp.tc_fun @t249 tptp.tc_HOL_Obool)) % 1.10/1.36 (define @t314 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t27 @t31)) % 1.10/1.36 (define @t315 () (@list @t27 @t31 @t29)) % 1.10/1.36 (define @t316 () (tptp.c_Set_Oinsert @t29 @t39 @t31)) % 1.10/1.36 (define @t317 () (tptp.c_Set_Oinsert @t29 @t38 @t31)) % 1.10/1.36 (define @t318 () (tptp.c_Set_Oinsert @t29 @t65 @t27)) % 1.10/1.36 (define @t319 () (@var "V_C_2" $$unsorted)) % 1.10/1.36 (define @t320 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t319)) % 1.10/1.36 (define @t321 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t27 @t319)) % 1.10/1.36 (define @t322 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t321)) % 1.10/1.36 (define @t323 () (@list @t319 @t27 @t31 @t29)) % 1.10/1.36 (define @t324 () (tptp.hBOOL (tptp.hAPP @t54 @t3))) % 1.10/1.36 (define @t325 () (tptp.c_member @t29 @t3 @t27)) % 1.10/1.36 (define @t326 () (tptp.c_member @t29 @t3 @t298)) % 1.10/1.36 (define @t327 () (@list @t54 @t27 @t31 @t29)) % 1.10/1.36 (define @t328 () (tptp.c_Relation_ODomain @t29 @t51 @t27)) % 1.10/1.36 (define @t329 () (tptp.c_Relation_ODomain @t29 @t51 @t31)) % 1.10/1.36 (define @t330 () (tptp.tc_fun @t53 tptp.tc_HOL_Obool)) % 1.10/1.36 (define @t331 () (@list @t27 @t31 @t51 @t29)) % 1.10/1.36 (define @t332 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t88 @t136)) % 1.10/1.36 (define @t333 () (tptp.c_Relation_Orefl__on @t29 @t27 @t136)) % 1.10/1.36 (define @t334 () (@list @t136 @t27 @t88 @t31 @t29)) % 1.10/1.36 (define @t335 () (tptp.c_Product__Type_OPair @t51 @t29 @t65 @t63)) % 1.10/1.36 (define @t336 () (tptp.c_Set_Oinsert @t29 @t39 @t27)) % 1.10/1.36 (define @t337 () (not @t111)) % 1.10/1.36 (define @t338 () (@list @t27 @t31 @t39 @t29)) % 1.10/1.36 (define @t339 () (tptp.c_Set_Oinsert @t29 @t65 @t31)) % 1.10/1.36 (define @t340 () (@list @t31 @t65 @t29)) % 1.10/1.36 (define @t341 () (@var "V_S_2" $$unsorted)) % 1.10/1.36 (define @t342 () (tptp.c_Transitive__Closure_Ortrancl @t29 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t50 @t341))) % 1.10/1.36 (define @t343 () (tptp.c_Transitive__Closure_Ortrancl @t29 @t341)) % 1.10/1.36 (define @t344 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t195 @t343)) % 1.10/1.36 (define @t345 () (@list @t341 @t50 @t29)) % 1.10/1.36 (define @t346 () (= @t3 @t168)) % 1.10/1.36 (define @t347 () (tptp.c_Product__Type_OPair @t29 @t29 @t168 @t3)) % 1.10/1.36 (define @t348 () (tptp.c_member @t90 @t347 @t88)) % 1.10/1.36 (define @t349 () (tptp.c_Product__Type_OPair @t29 @t29 @t3 @t168)) % 1.10/1.36 (define @t350 () (forall @t209 (=> (tptp.c_member @t90 @t349 @t88) (=> @t348 @t346)))) % 1.10/1.36 (define @t351 () (tptp.hAPP @t1 @t39)) % 1.10/1.36 (define @t352 () (tptp.tc_fun @t51 @t29)) % 1.10/1.36 (define @t353 () (tptp.class_Lattices_Olattice @t29)) % 1.10/1.36 (define @t354 () (@list @t39 @t1 @t2 @t51 @t29)) % 1.10/1.36 (define @t355 () (tptp.c_Transitive__Closure_Ortrancl @t29 @t54)) % 1.10/1.36 (define @t356 () (tptp.c_member @t90 @t161 @t355)) % 1.10/1.36 (define @t357 () (@var "V_Q_2" $$unsorted)) % 1.10/1.36 (define @t358 () (tptp.c_member @t90 @t161 (tptp.c_Transitive__Closure_Ortrancl @t29 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t54 @t357)))) % 1.10/1.36 (define @t359 () (@list @t357 @t54 @t63 @t65 @t29)) % 1.10/1.36 (define @t360 () (tptp.c_Wellfounded_Owf @t29 @t88)) % 1.10/1.36 (define @t361 () (tptp.c_Relation_OField @t29 @t88)) % 1.10/1.36 (define @t362 () (@var "V_rb_2" $$unsorted)) % 1.10/1.36 (define @t363 () (@var "V_ra_2" $$unsorted)) % 1.10/1.36 (define @t364 () (@list @t39 @t88 @t29)) % 1.10/1.36 (define @t365 () (tptp.c_Relation_OField @t29 @t136)) % 1.10/1.36 (define @t366 () (@list @t136 @t88 @t29)) % 1.10/1.36 (define @t367 () (tptp.class_Lattices_Osemilattice__sup @t29)) % 1.10/1.36 (define @t368 () (@list @t106 @t29)) % 1.10/1.36 (define @t369 () (@var "V_x" $$unsorted)) % 1.10/1.36 (define @t370 () (@list @t369 @t29)) % 1.10/1.36 (define @t371 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t106 @t104)) % 1.10/1.36 (define @t372 () (@list @t104 @t106 @t29)) % 1.10/1.36 (define @t373 () (@var "V_y" $$unsorted)) % 1.10/1.36 (define @t374 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t373 @t369)) % 1.10/1.36 (define @t375 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t373)) % 1.10/1.36 (define @t376 () (= @t375 @t374)) % 1.10/1.36 (define @t377 () (@list @t373 @t369 @t29)) % 1.10/1.36 (define @t378 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t375) @t375)) % 1.10/1.36 (define @t379 () (@var "V_c" $$unsorted)) % 1.10/1.36 (define @t380 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t106 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t104 @t379))) % 1.10/1.36 (define @t381 () (@list @t379 @t106 @t104 @t29)) % 1.10/1.36 (define @t382 () (@var "V_z" $$unsorted)) % 1.10/1.36 (define @t383 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t382)) % 1.10/1.36 (define @t384 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t373 @t382)) % 1.10/1.36 (define @t385 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t384)) % 1.10/1.36 (define @t386 () (= @t385 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t373 @t383))) % 1.10/1.36 (define @t387 () (@list @t382 @t373 @t369 @t29)) % 1.10/1.36 (define @t388 () (@list @t379 @t104 @t106 @t29)) % 1.10/1.36 (define @t389 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t375 @t382) @t385)) % 1.10/1.36 (define @t390 () (@var "V_H_2" $$unsorted)) % 1.10/1.36 (define @t391 () (tptp.hAPP @t2 @t65)) % 1.10/1.36 (define @t392 () (tptp.c_Recdef_Owfrec @t29 @t51 @t88 @t390)) % 1.10/1.36 (define @t393 () (@var "B_M" $$unsorted)) % 1.10/1.36 (define @t394 () (tptp.c_Recdef_Owfrec @t29 @t51 @t180 @t393)) % 1.10/1.36 (define @t395 () (tptp.c_Orderings_Obot__class_Obot @t297)) % 1.10/1.36 (define @t396 () (tptp.c_Set_Oinsert @t29 @t63 @t395)) % 1.10/1.36 (define @t397 () (tptp.c_Set_Oinsert @t29 @t65 @t396)) % 1.10/1.36 (define @t398 () (tptp.c_Orderings_Obot__class_Obot @t290)) % 1.10/1.36 (define @t399 () (tptp.c_Orderings_Obot__class_Obot @t313)) % 1.10/1.36 (define @t400 () (@list @t88 @t29 @t51)) % 1.10/1.36 (define @t401 () (tptp.c_Orderings_Obot__class_Obot @t330)) % 1.10/1.36 (define @t402 () (= @t31 @t395)) % 1.10/1.36 (define @t403 () (not @t251)) % 1.10/1.36 (define @t404 () (not @t107)) % 1.10/1.36 (define @t405 () (@var "V_d_2" $$unsorted)) % 1.10/1.36 (define @t406 () (tptp.c_Set_Oinsert @t29 @t65 @t395)) % 1.10/1.36 (define @t407 () (@list @t27 @t29)) % 1.10/1.36 (define @t408 () (tptp.c_Orderings_Obot__class_Obot @t29)) % 1.10/1.36 (define @t409 () (tptp.class_Lattices_Obounded__lattice__bot @t29)) % 1.10/1.36 (define @t410 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t39 @t38)) % 1.10/1.36 (define @t411 () (= @t63 @t65)) % 1.10/1.36 (define @t412 () (tptp.c_member @t29 @t63 @t406)) % 1.10/1.36 (define @t413 () (@list @t65 @t63 @t29)) % 1.10/1.36 (define @t414 () (tptp.c_Set_Oinsert @t29 @t39 @t395)) % 1.10/1.36 (define @t415 () (tptp.class_Orderings_Obot @t29)) % 1.10/1.36 (define @t416 () (@var "B_Q" $$unsorted)) % 1.10/1.36 (define @t417 () (tptp.c_member @t29 @t3 @t416)) % 1.10/1.36 (define @t418 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t27)) % 1.10/1.36 (define @t419 () (tptp.hBOOL (tptp.hAPP @t418 @t39))) % 1.10/1.36 (define @t420 () (tptp.c_member @t29 @t28 @t418)) % 1.10/1.36 (define @t421 () (tptp.c_member @t29 @t127 @t27)) % 1.10/1.36 (define @t422 () (tptp.c_Set_Oinsert @t29 @t65 @t418)) % 1.10/1.36 (define @t423 () (@list @t27 @t31 @t65 @t29)) % 1.10/1.36 (define @t424 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t319)) % 1.10/1.36 (define @t425 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t321)) % 1.10/1.36 (define @t426 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t27 @t319)) % 1.10/1.36 (define @t427 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t319 @t31)) % 1.10/1.36 (define @t428 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t27 @t31)) % 1.10/1.36 (define @t429 () (@list @t31 @t319 @t27 @t29)) % 1.10/1.36 (define @t430 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t319 @t31)) % 1.10/1.36 (define @t431 () (@var "V_r_H_2" $$unsorted)) % 1.10/1.36 (define @t432 () (@list @t431 @t88 @t29)) % 1.10/1.36 (define @t433 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t426)) % 1.10/1.36 (define @t434 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t373 @t382)) % 1.10/1.36 (define @t435 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t434)) % 1.10/1.36 (define @t436 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t373)) % 1.10/1.36 (define @t437 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t436 @t382) @t435)) % 1.10/1.36 (define @t438 () (tptp.class_Lattices_Osemilattice__inf @t29)) % 1.10/1.36 (define @t439 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t106 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t104 @t379))) % 1.10/1.36 (define @t440 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t106 @t104)) % 1.10/1.36 (define @t441 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t382)) % 1.10/1.36 (define @t442 () (= @t435 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t373 @t441))) % 1.10/1.36 (define @t443 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t436) @t436)) % 1.10/1.36 (define @t444 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t373 @t369)) % 1.10/1.36 (define @t445 () (= @t436 @t444)) % 1.10/1.36 (define @t446 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t436 @t441)) % 1.10/1.36 (define @t447 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t384)) % 1.10/1.36 (define @t448 () (tptp.class_Lattices_Odistrib__lattice @t29)) % 1.10/1.36 (define @t449 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t375 @t383)) % 1.10/1.36 (define @t450 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t434)) % 1.10/1.36 (define @t451 () (@list @t369 @t382 @t373 @t29)) % 1.10/1.36 (define @t452 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t318 @t319)) % 1.10/1.36 (define @t453 () (tptp.c_member @t29 @t65 @t319)) % 1.10/1.36 (define @t454 () (=> @t453 (= @t452 (tptp.c_Set_Oinsert @t29 @t65 @t426)))) % 1.10/1.36 (define @t455 () (@list @t27 @t319 @t65 @t29)) % 1.10/1.36 (define @t456 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t318)) % 1.10/1.36 (define @t457 () (=> @t107 (= @t456 @t422))) % 1.10/1.36 (define @t458 () (=> (not @t453) (= @t452 @t426))) % 1.10/1.36 (define @t459 () (=> @t404 (= @t456 @t418))) % 1.10/1.36 (define @t460 () (tptp.c_Relation_Oconverse @t29 @t29 @t88)) % 1.10/1.36 (define @t461 () (tptp.tc_fun @t51 tptp.tc_HOL_Obool)) % 1.10/1.36 (define @t462 () (tptp.c_Orderings_Obot__class_Obot @t461)) % 1.10/1.36 (define @t463 () (tptp.c_Wellfounded_Owf @t29 @t50)) % 1.10/1.36 (define @t464 () (tptp.c_Relation_OImage @t29 @t29 @t88 @t396)) % 1.10/1.36 (define @t465 () (tptp.c_Relation_OImage @t29 @t29 @t88 @t406)) % 1.10/1.36 (define @t466 () (= @t465 @t464)) % 1.10/1.36 (define @t467 () (tptp.c_member @t29 @t63 @t361)) % 1.10/1.36 (define @t468 () (tptp.c_member @t29 @t65 @t361)) % 1.10/1.36 (define @t469 () (=> @t468 (=> @t467 (= @t466 @t83)))) % 1.10/1.36 (define @t470 () (tptp.c_Relation_OImage @t51 @t29 @t50 @t27)) % 1.10/1.36 (define @t471 () (tptp.c_Relation_OImage @t51 @t29 @t50 @t31)) % 1.10/1.36 (define @t472 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t471 @t470)) % 1.10/1.36 (define @t473 () (tptp.c_Relation_OImage @t51 @t29 @t50 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t461 @t31 @t27))) % 1.10/1.36 (define @t474 () (@list @t27 @t31 @t50 @t51 @t29)) % 1.10/1.36 (define @t475 () (tptp.c_Relation_Oconverse @t51 @t29 @t136)) % 1.10/1.36 (define @t476 () (tptp.c_Relation_Oconverse @t51 @t29 @t88)) % 1.10/1.36 (define @t477 () (@list @t136 @t88 @t29 @t51)) % 1.10/1.36 (define @t478 () (tptp.c_Relation_Oconverse @t29 @t51 @t88)) % 1.10/1.36 (define @t479 () (tptp.c_Relation_Oconverse @t29 @t29 @t263)) % 1.10/1.36 (define @t480 () (tptp.c_Transitive__Closure_Otrancl @t29 @t460)) % 1.10/1.36 (define @t481 () (tptp.c_Transitive__Closure_Ortrancl @t29 @t460)) % 1.10/1.36 (define @t482 () (tptp.c_Product__Type_OPair @t51 @t29 @t63 @t65)) % 1.10/1.36 (define @t483 () (tptp.c_member @t249 @t482 @t88)) % 1.10/1.36 (define @t484 () (tptp.c_member @t53 @t102 @t476)) % 1.10/1.36 (define @t485 () (tptp.c_Relation_ODomain @t29 @t51 @t476)) % 1.10/1.36 (define @t486 () (tptp.c_member @t51 @t3 @t31)) % 1.10/1.36 (define @t487 () (tptp.c_member @t29 @t63 (tptp.c_Relation_OImage @t51 @t29 @t88 @t31))) % 1.10/1.36 (define @t488 () (@list @t31 @t88 @t51 @t63 @t29)) % 1.10/1.36 (define @t489 () (tptp.c_Relation_OImage @t29 @t51 @t88 @t31)) % 1.10/1.36 (define @t490 () (tptp.c_member @t90 @t196 @t481)) % 1.10/1.36 (define @t491 () (tptp.c_member @t90 @t287 @t172)) % 1.10/1.36 (define @t492 () (@list @t88 @t38 @t39 @t29)) % 1.10/1.36 (define @t493 () (tptp.c_member @t90 @t196 @t480)) % 1.10/1.36 (define @t494 () (tptp.c_member @t90 @t196 @t479)) % 1.10/1.36 (define @t495 () (tptp.c_Order__Relation_Opartial__order__on @t29 @t31 @t88)) % 1.10/1.36 (define @t496 () (tptp.c_Order__Relation_Olinear__order__on @t29 @t31 @t88)) % 1.10/1.36 (define @t497 () (tptp.c_Order__Relation_Opreorder__on @t29 @t31 @t88)) % 1.10/1.36 (define @t498 () (tptp.c_Equiv__Relations_Oequiv @t29 @t31 @t88)) % 1.10/1.36 (define @t499 () (@list @t63 @t65 @t88 @t31 @t29)) % 1.10/1.36 (define @t500 () (tptp.c_Set_Oinsert @t29 @t38 @t395)) % 1.10/1.36 (define @t501 () (tptp.c_Relation_OImage @t29 @t29 @t88 @t414)) % 1.10/1.36 (define @t502 () (= @t501 (tptp.c_Relation_OImage @t29 @t29 @t88 @t500))) % 1.10/1.36 (define @t503 () (=> @t108 @t162)) % 1.10/1.36 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t465 @t464)) % 1.10/1.36 (define @t505 () (tptp.c_Order__Relation_Opreorder__on @t29 @t361 @t88)) % 1.10/1.36 (define @t506 () (tptp.c_Equiv__Relations_Oquotient @t29 @t414 @t88)) % 1.10/1.36 (define @t507 () (tptp.class_Orderings_Opreorder @t29)) % 1.10/1.36 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t27 @t31)) % 1.10/1.36 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t27)) % 1.10/1.36 (define @t510 () (=> @t32 @t30)) % 1.10/1.36 (define @t511 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t297 tptp.tc_HOL_Obool))) % 1.10/1.36 (define @t512 () (tptp.c_Equiv__Relations_Oquotient @t29 @t31 @t88)) % 1.10/1.36 (define @t513 () (@var "V_D_2" $$unsorted)) % 1.10/1.36 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t27 @t513)) % 1.10/1.36 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t319)) % 1.10/1.36 (define @t516 () (@list @t513 @t27 @t319 @t31 @t29)) % 1.10/1.36 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t319 @t31)) % 1.10/1.36 (define @t518 () (@list @t27 @t31 @t319 @t29)) % 1.10/1.36 (define @t519 () (@list @t31 @t27 @t29)) % 1.10/1.36 (define @t520 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t104)) % 1.10/1.36 (define @t521 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t106)) % 1.10/1.36 (define @t522 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t440)) % 1.10/1.36 (define @t523 () (@list @t104 @t106 @t369 @t29)) % 1.10/1.36 (define @t524 () (@var "V_d" $$unsorted)) % 1.10/1.36 (define @t525 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t104 @t524)) % 1.10/1.36 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t106 @t379)) % 1.10/1.36 (define @t527 () (@list @t524 @t104 @t379 @t106 @t29)) % 1.10/1.36 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t382)) % 1.10/1.36 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t373)) % 1.10/1.36 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t373 @t369)) % 1.10/1.36 (define @t531 () (@list @t369 @t373 @t29)) % 1.10/1.36 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t440 @t369)) % 1.10/1.36 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t104 @t369)) % 1.10/1.36 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t106 @t369)) % 1.10/1.36 (define @t535 () (@list @t104 @t369 @t106 @t29)) % 1.10/1.36 (define @t536 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t39 @t42)) % 1.10/1.36 (define @t537 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t39 @t38)) % 1.10/1.36 (define @t538 () (@list @t42 @t38 @t39 @t29)) % 1.10/1.36 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t436 @t373)) % 1.10/1.36 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t436 @t369)) % 1.10/1.36 (define @t541 () (@var "V_A_H_2" $$unsorted)) % 1.10/1.36 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq @t330 @t88 @t136)) % 1.10/1.36 (define @t543 () (@list @t136 @t88 @t51 @t29)) % 1.10/1.36 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t375)) % 1.10/1.36 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t373 @t375)) % 1.10/1.36 (define @t546 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t371)) % 1.10/1.36 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t371 @t369)) % 1.10/1.36 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t382 @t369)) % 1.10/1.36 (define @t549 () (@list @t382 @t369 @t373 @t29)) % 1.10/1.36 (define @t550 () (= @t298 @t27)) % 1.10/1.36 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t27 @t319)) % 1.10/1.36 (define @t552 () (tptp.c_Transitive__Closure_Ortrancl @t29 @t136)) % 1.10/1.36 (define @t553 () (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t172 @t552)) % 1.10/1.36 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t88 @t136)) % 1.10/1.36 (define @t555 () (@list @t184 @t88 @t29)) % 1.10/1.36 (define @t556 () (tptp.hAPP @t357 @t39)) % 1.10/1.36 (define @t557 () (tptp.hBOOL @t556)) % 1.10/1.36 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t54 @t357)) % 1.10/1.36 (define @t559 () (@list @t29 @t27 @t31)) % 1.10/1.36 (define @t560 () (@var "V_R1_2" $$unsorted)) % 1.10/1.36 (define @t561 () (@var "V_R2_2" $$unsorted)) % 1.10/1.36 (define @t562 () (tptp.class_Orderings_Olinorder @t29)) % 1.10/1.36 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t29 @t51) @t2 @t1)) % 1.10/1.36 (define @t564 () (tptp.class_Orderings_Oord @t51)) % 1.10/1.36 (define @t565 () (tptp.class_Orderings_Oorder @t29)) % 1.10/1.36 (define @t566 () (= @t369 @t373)) % 1.10/1.36 (define @t567 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t379 @t106)) % 1.10/1.36 (define @t568 () (= @t104 @t379)) % 1.10/1.36 (define @t569 () (tptp.class_Orderings_Oord @t29)) % 1.10/1.36 (define @t570 () (= @t106 @t104)) % 1.10/1.36 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t38 @t39)) % 1.10/1.36 (define @t572 () (@var "V_X_2" $$unsorted)) % 1.10/1.36 (define @t573 () (@var "V_Y_2" $$unsorted)) % 1.10/1.36 (define @t574 () (= @t572 @t573)) % 1.10/1.36 (define @t575 () (tptp.c_member @t297 @t573 @t512)) % 1.10/1.36 (define @t576 () (tptp.c_member @t297 @t572 @t512)) % 1.10/1.36 (define @t577 () (tptp.c_member @t29 @t38 @t573)) % 1.10/1.36 (define @t578 () (tptp.c_member @t29 @t39 @t572)) % 1.10/1.36 (define @t579 () (@list @t38 @t39 @t573 @t572 @t88 @t31 @t29)) % 1.10/1.36 (define @t580 () (tptp.c_Wellfounded_Omlex__prod @t29 @t2 @t50)) % 1.10/1.36 (define @t581 () (tptp.hBOOL (tptp.hAPP @t556 @t38))) % 1.10/1.36 (define @t582 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t29 @t461) @t54 @t357)) % 1.10/1.36 (define @t583 () (tptp.hBOOL (tptp.hAPP @t59 @t38))) % 1.10/1.36 (define @t584 () (@var "V_r2_2" $$unsorted)) % 1.10/1.36 (define @t585 () (@var "V_r1_2" $$unsorted)) % 1.10/1.36 (define @t586 () (tptp.c_Groups_Ominus__class_Ominus @t297 @t31 @t27)) % 1.10/1.36 (define @t587 () (tptp.c_member @t29 @t28 @t586)) % 1.10/1.36 (define @t588 () (tptp.c_Groups_Ominus__class_Ominus @t297 @t27 @t31)) % 1.10/1.36 (define @t589 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t588)) % 1.10/1.36 (define @t590 () (tptp.c_Groups_Ominus__class_Ominus @t297 @t31 @t319)) % 1.10/1.36 (define @t591 () (@var "T_1" $$unsorted)) % 1.10/1.36 (define @t592 () (@var "T_2" $$unsorted)) % 1.10/1.36 (define @t593 () (tptp.tc_fun @t592 @t591)) % 1.10/1.36 (define @t594 () (tptp.class_Lattices_Obounded__lattice @t591)) % 1.10/1.36 (define @t595 () (@list @t592 @t591)) % 1.10/1.36 (define @t596 () (tptp.class_Lattices_Olattice @t591)) % 1.10/1.36 (define @t597 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t39) @t38))) % 1.10/1.36 (define @t598 () (@list @t38 @t39)) % 1.10/1.36 (define @t599 () (not @t71)) % 1.10/1.36 (define @t600 () (not @t73)) % 1.10/1.36 (define @t601 () (not @t75)) % 1.10/1.36 (define @t602 () (= @t28 @t65)) % 1.10/1.36 (define @t603 () (= @t28 @t63)) % 1.10/1.36 (define @t604 () (or @t603 @t602 @t601 @t600 @t599 @t68)) % 1.10/1.36 (define @t605 () (or @t602 @t601 @t600 @t599 @t68)) % 1.10/1.36 (define @t606 () (or @t601 @t600 @t599 @t68)) % 1.10/1.36 (define @t607 () (or @t600 @t599 @t68)) % 1.10/1.36 (define @t608 () (not @t602)) % 1.10/1.36 (define @t609 () (=> @t608 @t76)) % 1.10/1.36 (define @t610 () (not @t603)) % 1.10/1.36 (define @t611 () (=> @t610 @t609)) % 1.10/1.36 (define @t612 () (not @t411)) % 1.10/1.36 (define @t613 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b_H____ tptp.v_b____)) % 1.10/1.36 (define @t614 () (forall @t16 (= @t13 (tptp.c_member @t12 @t613 @t14)))) % 1.10/1.36 (define @t615 () (@quantifiers_skolemize @t614 0)) % 1.10/1.36 (define @t616 () (tptp.hAPP tptp.v_P____ @t615)) % 1.10/1.36 (define @t617 () (tptp.c_member @t12 @t15 @t616)) % 1.10/1.36 (define @t618 () (tptp.c_member @t12 @t11 (tptp.hAPP tptp.v_P_H____ @t615))) % 1.10/1.36 (define @t619 () (= @t617 @t618)) % 1.10/1.36 (define @t620 () (= @t618 @t617)) % 1.10/1.36 (define @t621 () (@list false)) % 1.10/1.36 (define @t622 () (not @t620)) % 1.10/1.36 (define @t623 () (not @t617)) % 1.10/1.36 (define @t624 () (tptp.c_member @t12 @t613 @t616)) % 1.10/1.36 (define @t625 () (= @t618 @t624)) % 1.10/1.36 (define @t626 () (and @t9 @t617)) % 1.10/1.36 (define @t627 () (not @t624)) % 1.10/1.36 (define @t628 () (and @t9 @t623)) % 1.10/1.36 (define @t629 () (not @t625)) % 1.10/1.36 (define @t630 () (not @t614)) % 1.10/1.36 (define @t631 () (= tptp.v_b____ tptp.v_b_H____)) % 1.10/1.36 (define @t632 () (tptp.c_member @t12 @t613 @t19)) % 1.10/1.36 (define @t633 () (= @t18 @t632)) % 1.10/1.36 (define @t634 () (not @t25)) % 1.10/1.36 (define @t635 () (not @t26)) % 1.10/1.36 (define @t636 () (= tptp.v_b_H____ tptp.v_a_H____)) % 1.10/1.36 (define @t637 () (or @t636 @t631 @t7 @t635 @t634 @t630 @t633)) % 1.10/1.36 (define @t638 () (not @t633)) % 1.10/1.36 (define @t639 () (not @t18)) % 1.10/1.36 (define @t640 () (not @t632)) % 1.10/1.36 (define @t641 () (not @t20)) % 1.10/1.36 (define @t642 () (and @t9 @t641)) % 1.10/1.36 (define @t643 () (and @t9 @t20)) % 1.10/1.36 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.10/1.36 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 1.10/1.36 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 1.10/1.36 (assume @p4 (not (= tptp.v_a____ tptp.v_b____))) % 1.10/1.36 (assume @p5 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 1.10/1.36 (assume @p6 (and @t9 @t8)) % 1.10/1.36 (assume @p7 @t17) % 1.10/1.36 (assume @p8 (=> (and @t22 @t8) @t21)) % 1.10/1.36 (assume @p9 @t25) % 1.10/1.36 (assume @p10 @t26) % 1.10/1.36 (assume @p11 (forall (@list @t28 @t29 @t27 @t31) (=> @t36 (=> @t35 (not @t33))))) % 1.10/1.36 (assume @p12 (forall @t49 (= (tptp.c_member @t12 @t40 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t37 @t42)) (and @t48 (=> @t43 @t46) (=> @t44 @t41))))) % 1.10/1.36 (assume @p13 (forall @t49 (= (tptp.c_member @t12 @t40 (tptp.c_Arrow__Order__Mirabelle_Omktop @t37 @t42)) (and @t44 (=> @t47 @t46) (=> @t48 @t41))))) % 1.10/1.36 (assume @p14 (forall (@list @t38 @t39 @t50 @t51 @t29) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t29 @t51 @t50) @t39) @t38)) (tptp.c_member @t53 @t52 @t50)))) % 1.10/1.36 (assume @p15 (forall (@list @t29 @t50 @t38 @t56 @t51 @t39 @t54) (=> @t60 (=> (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t51 @t51 @t56 @t38) (tptp.hAPP @t50 @t39)) (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 (tptp.c_Product__Type_OPair @t29 @t51 @t39 @t56) @t52) @t55))))) % 1.10/1.36 (assume @p16 @t87) % 1.10/1.36 (assume @p17 (forall @t92 (= (tptp.c_Nitpick_Orefl_H @t29 @t88) (forall @t6 @t91)))) % 1.10/1.36 (assume @p18 (forall (@list @t51 @t29 @t54) (= (forall (@list @t97) (tptp.hBOOL (tptp.hAPP @t54 @t97))) (forall @t96 (tptp.hBOOL (tptp.hAPP @t54 @t95)))))) % 1.10/1.36 (assume @p19 (forall (@list @t98 @t99 @t63 @t65 @t51 @t29) (= (= @t102 @t101) (and @t100 (= @t63 @t98))))) % 1.10/1.36 (assume @p20 (forall (@list @t103 @t105 @t104 @t106 @t51 @t29) (=> (= (tptp.c_Product__Type_OPair @t29 @t51 @t106 @t104) (tptp.c_Product__Type_OPair @t29 @t51 @t105 @t103)) (not (=> (= @t106 @t105) (not (= @t104 @t103))))))) % 1.10/1.36 (assume @p21 (forall @t109 (=> @t83 (=> @t108 @t107)))) % 1.10/1.36 (assume @p22 (forall (@list @t31 @t29 @t38 @t39) (=> @t45 (= @t111 @t110)))) % 1.10/1.36 (assume @p23 (forall (@list @t39 @t29 @t27 @t31) (=> @t36 (= @t111 @t112)))) % 1.10/1.36 (assume @p24 (forall @t115 (= @t111 @t114))) % 1.10/1.36 (assume @p25 (forall (@list @t61 @t54 @t63 @t65) (=> @t84 (=> @t75 (=> @t73 (=> (forall @t16 (= @t70 (tptp.c_member @t12 @t116 @t69))) (= @t67 (tptp.c_member @t12 @t116 @t62)))))))) % 1.10/1.36 (assume @p26 (forall @t123 (=> @t84 (=> @t122 (=> @t121 (=> @t120 (=> @t75 (=> @t73 (=> @t119 (=> @t67 @t118)))))))))) % 1.10/1.36 (assume @p27 (forall @t123 (=> @t84 (=> @t122 (=> @t121 (=> @t120 (=> @t75 (=> @t73 (=> @t119 (= @t67 @t118)))))))))) % 1.10/1.36 (assume @p28 (forall (@list @t63 @t65 @t124 @t29 @t125 @t51) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t51 @t125 @t29 @t124 @t126) (tptp.hAPP (tptp.hAPP @t124 @t65) @t63)))) % 1.10/1.36 (assume @p29 (forall @t135 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t128) (forall @t6 (=> @t134 (forall @t133 (=> (tptp.c_member @t24 @t127 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t96 (=> (forall @t16 (= @t132 (tptp.c_member @t12 @t129 (tptp.hAPP @t127 @t10)))) (= @t131 (tptp.c_member @t12 @t129 (tptp.hAPP @t128 @t127)))))))))))) % 1.10/1.36 (assume @p30 (forall @t135 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t128) (forall @t6 (=> @t134 (forall @t96 (=> (forall @t16 @t132) @t131))))))) % 1.10/1.36 (assume @p31 (forall (@list @t136 @t88 @t98 @t99 @t63 @t65 @t51 @t29) (= (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t102 @t101) (tptp.c_Wellfounded_Olex__prod @t29 @t51 @t88 @t136)) (or (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t99) @t88) (and @t100 (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t51 @t51 @t63 @t98) @t136)))))) % 1.10/1.36 (assume @p32 (forall (@list @t137 @t128) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t128 @t137) (forall @t6 (=> @t134 (= @t130 (tptp.hAPP @t3 @t137))))))) % 1.10/1.36 (assume @p33 (forall (@list @t63 @t65 @t28 @t29 @t125 @t51) (= (tptp.c_Product__Type_Ointernal__split @t51 @t125 @t29 @t28 @t126) (tptp.hAPP (tptp.hAPP @t28 @t65) @t63)))) % 1.10/1.36 (assume @p34 (forall @t147 (= (tptp.c_Recdef_Owfrec__rel @t29 @t51 @t50 @t128 @t140 @t145) (exists @t146 (and (= @t145 @t143) @t142))))) % 1.10/1.36 (assume @p35 (forall (@list @t63 @t65 @t37) (=> @t148 (=> (tptp.c_member @t12 @t66 @t37) (not (tptp.c_member @t12 @t116 @t37)))))) % 1.10/1.36 (assume @p36 (forall @t149 (=> @t148 (tptp.c_member @t23 (tptp.c_Arrow__Order__Mirabelle_Omktop @t37 @t39) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 1.10/1.36 (assume @p37 (forall @t149 (=> @t148 (tptp.c_member @t23 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t37 @t39) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 1.10/1.36 (assume @p38 (forall (@list @t38 @t39 @t37) (=> @t148 (=> @t46 (= (not @t41) (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t39) @t37)))))) % 1.10/1.36 (assume @p39 (forall @t153 (=> @t84 (=> @t148 (= (tptp.c_member @t12 @t40 (tptp.c_Arrow__Order__Mirabelle_Oabove @t37 @t65 @t63)) (and @t46 (=> @t152 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t65 @t38) @t37)) (=> (not @t152) (and (=> @t150 (or @t151 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t39 @t65) @t37))) (=> (not @t150) @t41))))))))) % 1.10/1.36 (assume @p40 (forall @t153 (=> @t84 (=> @t148 (= (tptp.c_member @t12 @t40 (tptp.c_Arrow__Order__Mirabelle_Obelow @t37 @t65 @t63)) (and @t46 (=> @t154 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t39 @t63) @t37)) (=> (not @t154) (and (=> @t151 (or @t150 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t63 @t38) @t37))) (=> (not @t151) @t41))))))))) % 1.10/1.36 (assume @p41 (forall @t155 (=> @t46 (=> @t148 (tptp.c_member @t23 (tptp.c_Arrow__Order__Mirabelle_Oabove @t37 @t39 @t38) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.10/1.36 (assume @p42 (forall @t155 (=> @t46 (=> @t148 (tptp.c_member @t23 (tptp.c_Arrow__Order__Mirabelle_Obelow @t37 @t39 @t38) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.10/1.36 (assume @p43 (forall (@list @t63 @t65) (=> @t84 (exists @t6 (and (tptp.c_member @t23 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t12 @t66 @t3)))))) % 1.10/1.36 (assume @p44 (forall @t147 (= (tptp.c_Recdef_Owfrec__rel @t29 @t51 @t50 @t128 @t140 @t144) (exists @t146 (and (= @t144 @t143) @t142))))) % 1.10/1.36 (assume @p45 (forall (@list @t1 @t128 @t51 @t50 @t39 @t29) (=> (forall @t141 (=> @t156 (tptp.c_Recdef_Owfrec__rel @t29 @t51 @t50 @t128 @t138 (tptp.hAPP @t1 @t138)))) (tptp.c_Recdef_Owfrec__rel @t29 @t51 @t50 @t128 @t39 (tptp.hAPP (tptp.hAPP @t128 @t1) @t39))))) % 1.10/1.36 (assume @p46 (forall @t160 (= @t159 (forall @t6 (=> (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t3 @t65) @t88) @t158))))) % 1.10/1.36 (assume @p47 (forall (@list @t65 @t88 @t63 @t29) (=> @t163 (=> @t162 @t159)))) % 1.10/1.36 (assume @p48 (forall (@list @t63 @t65 @t51 @t29 @t2) (=> @t165 @t164))) % 1.10/1.36 (assume @p49 (forall (@list @t63 @t65 @t2 @t51 @t29) (=> @t164 @t165))) % 1.10/1.36 (assume @p50 (forall (@list @t63 @t65 @t2 @t29 @t125 @t51) (= (tptp.c_Product__Type_Ocurry @t51 @t125 @t29 @t2 @t65 @t63) (tptp.hAPP @t2 @t126)))) % 1.10/1.36 (assume @p51 (forall (@list @t50 @t39 @t29) (=> (not (tptp.c_member @t29 @t39 @t166)) (not (forall @t141 (=> @t156 (tptp.c_member @t29 @t138 @t166))))))) % 1.10/1.36 (assume @p52 (forall @t171 (=> (forall @t170 (=> @t169 (tptp.c_member @t29 @t168 @t157))) @t167))) % 1.10/1.36 (assume @p53 (forall (@list @t88 @t65 @t63 @t29) (=> @t174 (=> @t159 @t163)))) % 1.10/1.36 (assume @p54 (forall (@list @t63 @t88 @t65 @t29) (=> @t159 (=> @t174 @t163)))) % 1.10/1.36 (assume @p55 (forall (@list @t2 @t51 @t88 @t65 @t39 @t29) (=> @t178 (= (tptp.hAPP @t176 @t39) @t175)))) % 1.10/1.36 (assume @p56 (forall (@list @t1 @t39 @t88 @t2 @t51 @t29) (= (= (tptp.c_Recdef_Ocut @t29 @t51 @t2 @t88 @t39) (tptp.c_Recdef_Ocut @t29 @t51 @t1 @t88 @t39)) (forall @t170 (=> @t169 (= (tptp.hAPP @t2 @t168) (tptp.hAPP @t1 @t168))))))) % 1.10/1.36 (assume @p57 (forall (@list @t51 @t65 @t39 @t29 @t179 @t180) (=> (tptp.c_member @t90 @t177 @t180) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t29 @t51 @t179 @t180 @t65) @t39) (tptp.hAPP @t179 @t39))))) % 1.10/1.36 (assume @p58 (exists (@list @t181) (tptp.c_member @t23 @t181 tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.10/1.36 (assume @p59 (forall @t182 (= (tptp.c_member @t29 @t39 (tptp.c_fequal @t38)) @t45))) % 1.10/1.36 (assume @p60 (forall @t160 (tptp.c_member @t90 @t183 @t172))) % 1.10/1.36 (assume @p61 (forall @t186 (=> @t185 (tptp.c_member @t90 @t184 @t172)))) % 1.10/1.36 (assume @p62 (forall @t192 (=> @t162 @t191))) % 1.10/1.36 (assume @p63 (forall @t192 (=> @t194 (=> @t193 @t188)))) % 1.10/1.36 (assume @p64 (forall @t192 (=> @t194 @t191))) % 1.10/1.36 (assume @p65 (forall @t92 (= (tptp.c_Transitive__Closure_Ortrancl @t29 @t172) @t172))) % 1.10/1.36 (assume @p66 (forall (@list @t39 @t128 @t50 @t29 @t51) (= (tptp.c_Nitpick_Owf__wfrec_H @t51 @t29 @t50 @t128 @t39) (tptp.hAPP (tptp.hAPP @t128 (tptp.c_Recdef_Ocut @t51 @t29 (tptp.c_Nitpick_Owf__wfrec @t51 @t29 @t50 @t128) @t50 @t39)) @t39)))) % 1.10/1.36 (assume @p67 (forall (@list @t38 @t50 @t39 @t29) (=> (not (tptp.c_member @t29 @t39 (tptp.c_Relation_ODomain @t29 @t29 @t50))) (= @t197 @t45)))) % 1.10/1.36 (assume @p68 (forall (@list @t42 @t38 @t39 @t88 @t29) (=> (tptp.c_Relation_Osingle__valued @t29 @t29 @t88) (=> @t201 (=> @t200 (or (tptp.c_member @t90 @t198 @t172) (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t42 @t38) @t172))))))) % 1.10/1.36 (assume @p69 (forall @t205 (=> @t204 @t203))) % 1.10/1.36 (assume @p70 (forall @t207 (= @t203 (exists @t170 @t206)))) % 1.10/1.36 (assume @p71 (forall (@list @t42 @t38 @t39 @t88 @t51 @t29) (=> @t208 (=> (tptp.c_member @t53 @t52 @t88) (=> (tptp.c_member @t53 (tptp.c_Product__Type_OPair @t29 @t51 @t39 @t42) @t88) @t47))))) % 1.10/1.36 (assume @p72 (forall @t211 (= @t208 @t210))) % 1.10/1.36 (assume @p73 (forall @t228 (=> @t227 (=> @t225 (=> (forall @t96 (=> (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t224 @t95) @t221) (forall (@list @t216 @t215) (=> @t220 (=> @t218 @t217))))) @t214))))) % 1.10/1.36 (assume @p74 (forall @t228 (=> @t227 (=> @t214 (=> (forall (@list @t94 @t93 @t216 @t215) (=> @t220 (=> (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t219 @t226) @t221) (=> @t217 @t218)))) @t225))))) % 1.10/1.36 (assume @p75 (forall (@list @t88 @t229 @t230 @t232 @t233 @t51 @t29) (=> (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t234 @t231) @t221) (=> (not (= @t234 @t231)) (not (forall @t96 (=> (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t234 @t95) @t88) (not (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t53 @t53 @t95 @t231) @t221))))))))) % 1.10/1.36 (assume @p76 (forall @t207 (=> @t203 (not (forall @t170 (not @t206)))))) % 1.10/1.36 (assume @p77 (forall @t236 (=> @t194 (=> @t84 (not (forall @t170 (=> @t235 (not (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t168 @t63) @t88))))))))) % 1.10/1.36 (assume @p78 (forall @t92 (= (tptp.c_Relation_Oirrefl @t29 @t88) (forall @t6 (not @t91))))) % 1.10/1.36 (assume @p79 (forall @t205 (=> @t204 (tptp.c_member @t51 @t63 (tptp.c_Relation_ORange @t29 @t51 @t88))))) % 1.10/1.36 (assume @p80 (forall @t238 (= (tptp.c_member @t90 @t196 @t237) (and @t45 @t111)))) % 1.10/1.36 (assume @p81 (forall @t109 (=> @t83 (=> @t107 (tptp.c_member @t90 @t161 @t237))))) % 1.10/1.36 (assume @p82 (forall @t211 (=> @t210 @t208))) % 1.10/1.36 (assume @p83 (forall @t244 (=> @t194 (=> @t243 (=> (forall @t170 (=> @t235 (forall @t141 (=> @t242 (=> @t241 @t240))))) @t239))))) % 1.10/1.36 (assume @p84 (forall @t244 (=> @t194 (=> @t239 (=> (forall (@list @t168 @t138) (=> @t242 (=> (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t138 @t63) @t172) (=> @t240 @t241)))) @t243))))) % 1.10/1.36 (assume @p85 (forall @t247 (=> @t200 (=> @t44 (not (forall @t170 (=> @t246 (not (tptp.c_member @t90 @t245 @t172))))))))) % 1.10/1.36 (assume @p86 (forall @t248 (= (tptp.c_Relation_ORange @t29 @t29 @t237) @t31))) % 1.10/1.36 (assume @p87 (forall @t248 (= (tptp.c_Relation_ODomain @t29 @t29 @t237) @t31))) % 1.10/1.36 (assume @p88 (forall @t248 (tptp.c_Relation_Osingle__valued @t29 @t29 @t237))) % 1.10/1.36 (assume @p89 (forall @t207 (= (tptp.c_member @t29 @t65 @t250) (exists @t170 (tptp.c_member @t249 (tptp.c_Product__Type_OPair @t51 @t29 @t168 @t65) @t88))))) % 1.10/1.36 (assume @p90 (forall (@list @t31 @t28 @t29) (=> (tptp.c_member @t90 @t28 @t237) (not (forall @t6 (=> @t251 (not (= @t28 @t89)))))))) % 1.10/1.36 (assume @p91 (forall (@list @t88 @t51 @t63 @t29) (=> (tptp.c_member @t29 @t63 @t250) (not (forall @t6 (not @t252)))))) % 1.10/1.36 (assume @p92 (forall @t256 (= @t255 (forall @t6 (=> @t251 (forall @t133 (=> (tptp.c_member @t29 @t127 @t31) (=> @t254 (or (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t3 @t127) @t88) @t253))))))))) % 1.10/1.36 (assume @p93 (forall (@list @t2 @t88 @t51 @t38 @t39 @t29) (= (tptp.c_member @t90 @t196 (tptp.c_Relation_Oinv__image @t51 @t29 @t88 @t2)) (tptp.c_member @t58 (tptp.c_Product__Type_OPair @t51 @t51 @t175 @t257) @t88)))) % 1.10/1.36 (assume @p94 (forall @t260 (=> @t259 (=> @t258 @t110)))) % 1.10/1.36 (assume @p95 (forall @t260 (=> @t259 (=> @t258 @t111)))) % 1.10/1.36 (assume @p96 (forall @t262 (=> @t259 (=> @t107 @t261)))) % 1.10/1.36 (assume @p97 (forall @t236 (=> @t264 @t194))) % 1.10/1.36 (assume @p98 (forall @t236 (=> @t162 @t264))) % 1.10/1.36 (assume @p99 (forall @t186 (=> @t185 @t265))) % 1.10/1.36 (assume @p100 (forall @t267 (= (tptp.c_Transitive__Closure_Ortrancl @t29 @t266) @t195))) % 1.10/1.36 (assume @p101 (forall @t267 (= (tptp.c_Transitive__Closure_Otrancl @t29 @t195) @t195))) % 1.10/1.36 (assume @p102 (forall @t92 (= (tptp.c_Relation_ODomain @t29 @t29 @t263) @t268))) % 1.10/1.36 (assume @p103 (forall @t92 (= (tptp.c_Relation_ORange @t29 @t29 @t263) @t269))) % 1.10/1.36 (assume @p104 (forall @t248 (tptp.c_Relation_Orefl__on @t29 @t31 @t237))) % 1.10/1.36 (assume @p105 (forall (@list @t28 @t50 @t63 @t65 @t29) (=> (tptp.c_member @t90 @t161 @t50) (=> (tptp.c_member @t90 @t189 @t50) (tptp.c_member @t90 @t187 @t266))))) % 1.10/1.36 (assume @p106 (forall @t192 (=> @t162 @t271))) % 1.10/1.36 (assume @p107 (forall @t192 (=> @t264 @t272))) % 1.10/1.36 (assume @p108 (forall @t192 (=> @t264 @t271))) % 1.10/1.36 (assume @p109 (forall @t274 (= @t197 (or @t45 (and @t46 @t273))))) % 1.10/1.36 (assume @p110 (forall @t192 (=> @t162 @t275))) % 1.10/1.36 (assume @p111 (forall (@list @t50 @t63 @t65 @t29) (=> (tptp.c_member @t90 @t161 @t195) (or @t83 (and @t84 (tptp.c_member @t90 @t161 @t266)))))) % 1.10/1.36 (assume @p112 (forall @t192 (=> @t194 @t272))) % 1.10/1.36 (assume @p113 (forall @t192 (=> @t264 @t275))) % 1.10/1.36 (assume @p114 (forall (@list @t42 @t88 @t38 @t39 @t29) (=> @t201 (=> (tptp.c_member @t90 @t198 @t263) @t276)))) % 1.10/1.36 (assume @p115 (forall @t274 (=> @t273 (exists @t141 (and (tptp.c_member @t90 @t278 @t50) (tptp.c_member @t90 @t277 @t195)))))) % 1.10/1.36 (assume @p116 (forall @t274 (=> @t273 (exists @t141 (and (tptp.c_member @t90 @t278 @t195) (tptp.c_member @t90 @t277 @t50)))))) % 1.10/1.36 (assume @p117 (forall @t92 (= @t280 @t279))) % 1.10/1.36 (assume @p118 (forall (@list @t38 @t39 @t88 @t29) (=> @t279 (=> @t258 @t46)))) % 1.10/1.36 (assume @p119 (forall @t247 (=> @t276 (=> (not (tptp.c_member @t90 @t199 @t88)) (not (forall @t170 (=> @t246 (not (tptp.c_member @t90 @t245 @t263))))))))) % 1.10/1.36 (assume @p120 (forall @t236 (=> @t264 (=> (not @t162) (not (forall (@list @t281) (=> (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t281) @t263) (not (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t281 @t63) @t88))))))))) % 1.10/1.36 (assume @p121 (forall @t283 (tptp.c_member @t90 @t183 @t282))) % 1.10/1.36 (assume @p122 (forall @t284 (tptp.c_Relation_Osingle__valued @t29 @t29 @t282))) % 1.10/1.36 (assume @p123 (forall @t285 (= (tptp.c_member @t90 @t161 @t282) @t83))) % 1.10/1.36 (assume @p124 (forall @t92 (=> @t279 @t280))) % 1.10/1.36 (assume @p125 (forall (@list @t184 @t29) (=> (tptp.c_member @t90 @t184 @t282) (not (forall @t6 (not (= @t184 @t89))))))) % 1.10/1.36 (assume @p126 (forall @t289 (= (tptp.c_Wellfounded_Oacyclic @t29 @t288) (and @t280 @t286)))) % 1.10/1.36 (assume @p127 (forall @t92 (=> @t280 (tptp.c_Relation_Oantisym @t29 @t172)))) % 1.10/1.36 (assume @p128 (forall @t92 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t263 @t282) @t172))) % 1.10/1.36 (assume @p129 (forall @t92 (= (tptp.c_Transitive__Closure_Otrancl @t29 @t291) @t172))) % 1.10/1.36 (assume @p130 (forall @t294 (=> @t293 (=> @t162 (=> @t292 @t83))))) % 1.10/1.36 (assume @p131 (forall @t300 (=> @t299 (=> (not @t114) @t296)))) % 1.10/1.36 (assume @p132 (forall (@list @t29 @t31 @t39 @t27) (=> (=> @t301 @t114) @t299))) % 1.10/1.36 (assume @p133 (forall @t303 (=> @t302 (=> @t84 @t107)))) % 1.10/1.36 (assume @p134 (forall @t307 (=> (=> (not @t306) @t83) @t305))) % 1.10/1.36 (assume @p135 (forall @t309 (=> @t308 @t33))) % 1.10/1.36 (assume @p136 (forall @t310 (=> (=> @t34 @t32) @t308))) % 1.10/1.36 (assume @p137 (forall @t92 (= (tptp.c_Relation_Oantisym @t29 @t291) @t293))) % 1.10/1.36 (assume @p138 (forall (@list @t27 @t31 @t29 @t51) (= (tptp.c_Relation_ORange @t51 @t29 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t313 @t31 @t27)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t312 @t311)))) % 1.10/1.36 (assume @p139 (forall @t248 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t31) @t31))) % 1.10/1.36 (assume @p140 (forall @t315 (= @t298 @t314))) % 1.10/1.36 (assume @p141 (forall @t115 (= (tptp.c_Set_Oinsert @t29 @t39 @t316) @t316))) % 1.10/1.36 (assume @p142 (forall @t315 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t298) @t298))) % 1.10/1.36 (assume @p143 (forall @t238 (= (tptp.c_Set_Oinsert @t29 @t39 @t317) (tptp.c_Set_Oinsert @t29 @t38 @t316)))) % 1.10/1.36 (assume @p144 (forall (@list @t27 @t65 @t31 @t29) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t318) (tptp.c_Set_Oinsert @t29 @t65 @t298)))) % 1.10/1.36 (assume @p145 (forall @t323 (= @t322 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t27 @t320)))) % 1.10/1.36 (assume @p146 (forall (@list @t319 @t27 @t65 @t29) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t318 @t319) (tptp.c_Set_Oinsert @t29 @t65 @t321)))) % 1.10/1.36 (assume @p147 (forall @t323 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t298 @t319) @t322))) % 1.10/1.36 (assume @p148 (forall @t327 (= (exists @t6 (and @t326 @t324)) (or (exists @t6 (and @t251 @t324)) (exists @t6 (and @t325 @t324)))))) % 1.10/1.36 (assume @p149 (forall @t327 (= (forall @t6 (=> @t326 @t324)) (and (forall @t6 (=> @t251 @t324)) (forall @t6 (=> @t325 @t324)))))) % 1.10/1.36 (assume @p150 (forall (@list @t39 @t31 @t38 @t29) (= (tptp.hBOOL (tptp.hAPP @t317 @t39)) (or (= @t38 @t39) @t114)))) % 1.10/1.36 (assume @p151 (forall (@list @t27 @t29 @t39 @t31) (=> @t114 @t299))) % 1.10/1.36 (assume @p152 (forall (@list @t31 @t29 @t39 @t27) (=> @t296 @t299))) % 1.10/1.36 (assume @p153 (forall @t331 (= (tptp.c_Relation_ODomain @t29 @t51 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t330 @t31 @t27)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t329 @t328)))) % 1.10/1.36 (assume @p154 (forall @t334 (=> @t259 (=> @t333 (tptp.c_Relation_Orefl__on @t29 @t298 @t332))))) % 1.10/1.36 (assume @p155 (forall @t205 (= (tptp.c_Relation_ODomain @t29 @t51 (tptp.c_Set_Oinsert @t53 @t102 @t88)) (tptp.c_Set_Oinsert @t29 @t65 @t202)))) % 1.10/1.36 (assume @p156 (forall (@list @t88 @t63 @t65 @t29 @t51) (= (tptp.c_Relation_ORange @t51 @t29 (tptp.c_Set_Oinsert @t249 @t335 @t88)) (tptp.c_Set_Oinsert @t29 @t63 @t250)))) % 1.10/1.36 (assume @p157 (forall @t309 (= @t308 (or @t32 @t30)))) % 1.10/1.36 (assume @p158 (forall @t309 (=> @t32 @t308))) % 1.10/1.36 (assume @p159 (forall @t310 (=> @t30 @t308))) % 1.10/1.36 (assume @p160 (forall (@list @t27 @t65 @t29) (tptp.c_member @t29 @t65 @t318))) % 1.10/1.36 (assume @p161 (forall @t303 (= @t302 (or @t83 @t107)))) % 1.10/1.36 (assume @p162 (forall @t338 (=> @t337 (=> (not @t112) (= (= @t316 @t336) @t36))))) % 1.10/1.36 (assume @p163 (forall @t307 (=> @t306 @t305))) % 1.10/1.36 (assume @p164 (forall @t340 (=> @t107 (= @t339 @t31)))) % 1.10/1.36 (assume @p165 (forall @t345 (= (tptp.c_Transitive__Closure_Ortrancl @t29 @t344) @t342))) % 1.10/1.36 (assume @p166 (forall @t284 (tptp.c_Relation_Oantisym @t29 @t282))) % 1.10/1.36 (assume @p167 (forall (@list @t341 @t50 @t39 @t29) (=> (or (tptp.c_member @t90 @t39 @t195) (tptp.c_member @t90 @t39 @t343)) (tptp.c_member @t90 @t39 @t342)))) % 1.10/1.36 (assume @p168 (forall @t248 (tptp.c_Relation_Oantisym @t29 @t237))) % 1.10/1.36 (assume @p169 (forall @t267 (= (tptp.c_Transitive__Closure_Ortrancl @t29 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t50 @t282)) @t195))) % 1.10/1.36 (assume @p170 (forall @t267 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t290 @t195 @t282) @t195))) % 1.10/1.36 (assume @p171 (forall @t92 (= @t293 @t350))) % 1.10/1.36 (assume @p172 (forall @t354 (=> @t353 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t352 @t2 @t1) @t39) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t175 @t351))))) % 1.10/1.36 (assume @p173 (forall @t359 (=> @t358 (=> (forall @t6 (=> (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t3) @t355) (forall @t170 (=> (tptp.c_member @t90 @t349 @t357) @t346)))) @t356)))) % 1.10/1.36 (assume @p174 (forall @t359 (=> @t358 (=> (forall @t6 (=> (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t3 @t63) @t355) (forall @t170 (=> (tptp.c_member @t90 @t347 @t357) (= @t168 @t3))))) @t356)))) % 1.10/1.36 (assume @p175 (forall @t289 (= (tptp.c_Wellfounded_Owf @t29 @t288) (and @t360 @t286)))) % 1.10/1.36 (assume @p176 (forall @t92 (=> @t350 @t293))) % 1.10/1.36 (assume @p177 (forall @t92 (= @t361 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t268 @t269)))) % 1.10/1.36 (assume @p178 (forall (@list @t2 @t51 @t88 @t29) (=> @t360 (tptp.c_Wellfounded_Owf @t51 (tptp.c_Relation_Oinv__image @t29 @t51 @t88 @t2))))) % 1.10/1.36 (assume @p179 (forall (@list @t362 @t51 @t363 @t29) (=> (tptp.c_Wellfounded_Owf @t29 @t363) (=> (tptp.c_Wellfounded_Owf @t51 @t362) (tptp.c_Wellfounded_Owf @t53 (tptp.c_Wellfounded_Olex__prod @t29 @t51 @t363 @t362)))))) % 1.10/1.36 (assume @p180 (forall @t92 (=> @t360 (tptp.c_Wellfounded_Owf @t29 @t263)))) % 1.10/1.36 (assume @p181 (forall @t92 (=> @t360 @t280))) % 1.10/1.36 (assume @p182 (forall (@list @t65 @t88 @t29) (=> @t360 (not @t261)))) % 1.10/1.36 (assume @p183 (forall (@list @t39 @t65 @t88 @t29) (=> @t360 (=> (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t65 @t39) @t88) (not @t178))))) % 1.10/1.36 (assume @p184 (forall @t364 (=> @t360 @t167))) % 1.10/1.36 (assume @p185 (forall @t92 (= @t360 (forall @t6 @t158)))) % 1.10/1.36 (assume @p186 (forall @t366 (= (tptp.c_Relation_OField @t29 @t332) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t361 @t365)))) % 1.10/1.36 (assume @p187 (forall @t368 (=> @t367 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t106 @t106) @t106)))) % 1.10/1.36 (assume @p188 (forall @t370 (=> @t367 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t369) @t369)))) % 1.10/1.36 (assume @p189 (forall @t372 (=> @t367 (= @t371 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t104 @t106))))) % 1.10/1.36 (assume @p190 (forall @t377 (=> @t353 @t376))) % 1.10/1.36 (assume @p191 (forall @t377 (=> @t367 @t376))) % 1.10/1.36 (assume @p192 (forall @t372 (=> @t367 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t106 @t371) @t371)))) % 1.10/1.36 (assume @p193 (forall @t377 (=> @t353 @t378))) % 1.10/1.36 (assume @p194 (forall @t377 (=> @t367 @t378))) % 1.10/1.36 (assume @p195 (forall @t381 (=> @t367 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t104 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t106 @t379)) @t380)))) % 1.10/1.36 (assume @p196 (forall @t387 (=> @t353 @t386))) % 1.10/1.36 (assume @p197 (forall @t387 (=> @t367 @t386))) % 1.10/1.36 (assume @p198 (forall @t388 (=> @t367 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t371 @t379) @t380)))) % 1.10/1.36 (assume @p199 (forall @t387 (=> @t353 @t389))) % 1.10/1.36 (assume @p200 (forall @t387 (=> @t367 @t389))) % 1.10/1.36 (assume @p201 (forall (@list @t2 @t29) (tptp.c_Wellfounded_Owf @t29 (tptp.c_Wellfounded_Omeasure @t29 @t2)))) % 1.10/1.36 (assume @p202 (forall (@list @t65 @t390 @t88 @t51 @t29 @t2) (=> (= @t2 @t392) (=> @t360 (= @t391 (tptp.hAPP (tptp.hAPP @t390 @t176) @t65)))))) % 1.10/1.36 (assume @p203 (forall (@list @t65 @t390 @t51 @t88 @t29) (=> @t360 (= (tptp.hAPP @t392 @t65) (tptp.hAPP (tptp.hAPP @t390 (tptp.c_Recdef_Ocut @t29 @t51 @t392 @t88 @t65)) @t65))))) % 1.10/1.36 (assume @p204 (forall (@list @t51 @t29 @t393 @t180) (=> (tptp.c_Wellfounded_Owf @t29 @t180) (forall @t6 (= (tptp.hAPP @t394 @t3) (tptp.hAPP (tptp.hAPP @t393 (tptp.c_Recdef_Ocut @t29 @t51 @t394 @t180 @t3)) @t3)))))) % 1.10/1.36 (assume @p205 (forall @t236 (= (tptp.c_Relation_OField @t29 (tptp.c_Set_Oinsert @t90 @t161 @t88)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t397 @t361)))) % 1.10/1.36 (assume @p206 (forall @t284 (tptp.c_Wellfounded_Owf @t29 @t398))) % 1.10/1.36 (assume @p207 (forall @t283 (not (tptp.c_member @t29 @t65 @t395)))) % 1.10/1.36 (assume @p208 (forall @t284 (= (tptp.c_Relation_OField @t29 @t398) @t395))) % 1.10/1.36 (assume @p209 (forall @t400 (= (= @t250 @t395) (= @t88 @t399)))) % 1.10/1.36 (assume @p210 (forall (@list @t29 @t51) (= (tptp.c_Relation_ORange @t51 @t29 @t399) @t395))) % 1.10/1.36 (assume @p211 (forall @t284 (= (tptp.c_Relation_OId__on @t29 @t395) @t398))) % 1.10/1.36 (assume @p212 (forall @t211 (= (= @t202 @t395) (= @t88 @t401)))) % 1.10/1.36 (assume @p213 (forall (@list @t51 @t29) (= (tptp.c_Relation_ODomain @t29 @t51 @t401) @t395))) % 1.10/1.36 (assume @p214 (forall @t284 (tptp.c_Relation_Orefl__on @t29 @t395 @t398))) % 1.10/1.36 (assume @p215 (forall @t248 (= (forall @t6 @t403) @t402))) % 1.10/1.36 (assume @p216 (forall @t248 (= (exists @t6 @t251) (not @t402)))) % 1.10/1.36 (assume @p217 (forall (@list @t28 @t29) (not (tptp.c_member @t29 @t28 @t395)))) % 1.10/1.36 (assume @p218 (forall (@list @t65 @t29 @t31) (=> @t402 @t404))) % 1.10/1.36 (assume @p219 (forall @t340 (not (= @t395 @t339)))) % 1.10/1.36 (assume @p220 (forall @t340 (not (= @t339 @t395)))) % 1.10/1.36 (assume @p221 (forall (@list @t405 @t28 @t63 @t65 @t29) (= (= @t397 (tptp.c_Set_Oinsert @t29 @t28 (tptp.c_Set_Oinsert @t29 @t405 @t395))) (or (and @t77 (= @t63 @t405)) (and (= @t65 @t405) @t80))))) % 1.10/1.36 (assume @p222 (forall @t285 (=> (= @t406 @t396) @t83))) % 1.10/1.36 (assume @p223 (forall @t407 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t395 @t27) @t27))) % 1.10/1.36 (assume @p224 (forall @t248 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t395) @t31))) % 1.10/1.36 (assume @p225 (forall @t315 (= (= @t298 @t395) (and @t402 (= @t27 @t395))))) % 1.10/1.36 (assume @p226 (forall @t284 (= (tptp.c_Transitive__Closure_Otrancl @t29 @t398) @t398))) % 1.10/1.36 (assume @p227 (forall @t284 (tptp.c_Relation_Oantisym @t29 @t398))) % 1.10/1.36 (assume @p228 (forall @t92 (tptp.c_Relation_Ototal__on @t29 @t395 @t88))) % 1.10/1.36 (assume @p229 (forall @t370 (=> @t409 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t408 @t369) @t369)))) % 1.10/1.36 (assume @p230 (forall @t370 (=> @t409 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t408) @t369)))) % 1.10/1.36 (assume @p231 (forall @t182 (=> @t409 (= (= @t410 @t408) (and (= @t39 @t408) (= @t38 @t408)))))) % 1.10/1.36 (assume @p232 (forall @t413 (= @t412 @t411))) % 1.10/1.36 (assume @p233 (forall @t413 (=> @t412 @t411))) % 1.10/1.36 (assume @p234 (forall @t340 (= @t339 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t406 @t31)))) % 1.10/1.36 (assume @p235 (forall @t284 (= (tptp.c_Transitive__Closure_Ortrancl @t29 @t398) @t282))) % 1.10/1.36 (assume @p236 (forall (@list @t39 @t29) (= (tptp.c_Set_Othe__elem @t29 @t414) @t39))) % 1.10/1.36 (assume @p237 (forall (@list @t39 @t51 @t29) (=> @t415 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t352) @t39) @t408)))) % 1.10/1.36 (assume @p238 (forall (@list @t29 @t50 @t51 @t54) (=> (forall @t6 (=> @t324 (tptp.c_Wellfounded_Owf @t51 (tptp.hAPP @t50 @t3)))) (tptp.c_Wellfounded_Owf @t53 @t55)))) % 1.10/1.36 (assume @p239 (forall @t366 (=> @t360 (=> (tptp.c_Wellfounded_Owf @t29 @t136) (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t268 (tptp.c_Relation_ORange @t29 @t29 @t136)) @t395) (tptp.c_Wellfounded_Owf @t29 @t332)))))) % 1.10/1.36 (assume @p240 (forall @t92 (= @t360 (forall (@list @t416) (=> (exists @t6 @t417) (exists @t6 (and @t417 (forall @t170 (=> @t348 (not (tptp.c_member @t29 @t168 @t416))))))))))) % 1.10/1.36 (assume @p241 (forall @t300 (=> @t419 (not (=> @t114 @t301))))) % 1.10/1.36 (assume @p242 (forall (@list @t29 @t27 @t39 @t31) (=> @t114 (=> @t296 @t419)))) % 1.10/1.36 (assume @p243 (forall @t309 (=> @t420 (not @t35)))) % 1.10/1.36 (assume @p244 (forall @t309 (=> @t32 (=> @t30 @t420)))) % 1.10/1.36 (assume @p245 (forall @t370 (=> @t409 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t408 @t369) @t408)))) % 1.10/1.36 (assume @p246 (forall @t370 (=> @t409 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t408) @t408)))) % 1.10/1.36 (assume @p247 (forall @t407 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t395 @t27) @t395))) % 1.10/1.36 (assume @p248 (forall @t248 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t395) @t395))) % 1.10/1.36 (assume @p249 (forall @t315 (= (= @t418 @t395) (forall @t6 (=> @t251 (forall @t133 (=> @t421 @t254))))))) % 1.10/1.36 (assume @p250 (forall @t423 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t339 @t318) @t422))) % 1.10/1.36 (assume @p251 (forall @t323 (= @t425 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t418 @t424)))) % 1.10/1.36 (assume @p252 (forall @t323 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t31 @t426) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t298 @t320)))) % 1.10/1.36 (assume @p253 (forall @t429 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t321 @t31) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t428 @t427)))) % 1.10/1.36 (assume @p254 (forall @t429 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t426 @t31) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t314 @t430)))) % 1.10/1.36 (assume @p255 (forall @t323 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t418 @t426) @t427) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t298 @t321) @t430)))) % 1.10/1.36 (assume @p256 (forall @t432 (=> @t360 (tptp.c_Wellfounded_Owf @t29 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t290 @t88 @t431))))) % 1.10/1.36 (assume @p257 (forall @t432 (=> @t360 (tptp.c_Wellfounded_Owf @t29 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t290 @t431 @t88))))) % 1.10/1.36 (assume @p258 (forall @t334 (=> @t259 (=> @t333 (tptp.c_Relation_Orefl__on @t29 @t418 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t290 @t88 @t136)))))) % 1.10/1.36 (assume @p259 (forall @t300 (=> @t419 @t296))) % 1.10/1.36 (assume @p260 (forall @t300 (=> @t419 @t114))) % 1.10/1.36 (assume @p261 (forall @t323 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t418 @t319) @t433))) % 1.10/1.36 (assume @p262 (forall @t323 (= @t433 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t27 @t424)))) % 1.10/1.36 (assume @p263 (forall @t315 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t418) @t418))) % 1.10/1.36 (assume @p264 (forall @t315 (= @t418 @t428))) % 1.10/1.36 (assume @p265 (forall @t248 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t31 @t31) @t31))) % 1.10/1.36 (assume @p266 (forall @t309 (= @t420 (and @t32 @t30)))) % 1.10/1.36 (assume @p267 (forall @t309 (=> @t420 @t32))) % 1.10/1.36 (assume @p268 (forall @t309 (=> @t420 @t30))) % 1.10/1.36 (assume @p269 (forall @t354 (=> @t353 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t352 @t2 @t1) @t39) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t175 @t351))))) % 1.10/1.36 (assume @p270 (forall @t387 (=> @t438 @t437))) % 1.10/1.36 (assume @p271 (forall @t387 (=> @t353 @t437))) % 1.10/1.36 (assume @p272 (forall @t388 (=> @t438 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t440 @t379) @t439)))) % 1.10/1.36 (assume @p273 (forall @t387 (=> @t438 @t442))) % 1.10/1.36 (assume @p274 (forall @t387 (=> @t353 @t442))) % 1.10/1.36 (assume @p275 (forall @t381 (=> @t438 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t104 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t106 @t379)) @t439)))) % 1.10/1.36 (assume @p276 (forall @t377 (=> @t438 @t443))) % 1.10/1.36 (assume @p277 (forall @t377 (=> @t353 @t443))) % 1.10/1.36 (assume @p278 (forall @t372 (=> @t438 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t106 @t440) @t440)))) % 1.10/1.36 (assume @p279 (forall @t377 (=> @t438 @t445))) % 1.10/1.36 (assume @p280 (forall @t377 (=> @t353 @t445))) % 1.10/1.36 (assume @p281 (forall @t372 (=> @t438 (= @t440 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t104 @t106))))) % 1.10/1.36 (assume @p282 (forall @t370 (=> @t438 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t369) @t369)))) % 1.10/1.36 (assume @p283 (forall @t368 (=> @t438 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t106 @t106) @t106)))) % 1.10/1.36 (assume @p284 (forall @t377 (=> @t353 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t369 @t375) @t369)))) % 1.10/1.36 (assume @p285 (forall @t377 (=> @t353 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t369 @t436) @t369)))) % 1.10/1.36 (assume @p286 (forall @t387 (=> @t448 (= @t447 @t446)))) % 1.10/1.36 (assume @p287 (forall @t387 (=> @t448 (= @t450 @t449)))) % 1.10/1.36 (assume @p288 (forall @t451 (=> @t448 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t384 @t369) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t444 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t382 @t369)))))) % 1.10/1.36 (assume @p289 (forall @t451 (=> @t448 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t434 @t369) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t374 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t382 @t369)))))) % 1.10/1.36 (assume @p290 (forall @t455 @t454)) % 1.10/1.36 (assume @p291 (forall @t423 @t457)) % 1.10/1.36 (assume @p292 (forall @t455 @t458)) % 1.10/1.36 (assume @p293 (forall @t423 @t459)) % 1.10/1.36 (assume @p294 (forall @t455 (and @t454 @t458))) % 1.10/1.36 (assume @p295 (forall @t423 (and @t457 @t459))) % 1.10/1.36 (assume @p296 (forall @t364 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t290 @t460 @t172) @t398) (not (tptp.c_member @t90 (tptp.c_Product__Type_OPair @t29 @t29 @t39 @t39) @t263))))) % 1.10/1.36 (assume @p297 (forall (@list @t65 @t88 @t51 @t63 @t29) (= (tptp.c_member @t29 @t63 (tptp.c_Relation_OImage @t51 @t29 @t88 (tptp.c_Set_Oinsert @t51 @t65 @t462))) (tptp.c_member @t249 @t335 @t88)))) % 1.10/1.36 (assume @p298 (forall @t267 (=> @t463 (tptp.c_Wellfounded_OwfP @t29 (tptp.c_FunDef_Oin__rel @t29 @t29 @t50))))) % 1.10/1.36 (assume @p299 (forall @t294 (=> (tptp.c_Relation_Orefl__on @t29 @t361 @t88) (=> @t293 @t469)))) % 1.10/1.36 (assume @p300 (forall (@list @t50 @t29 @t51) (= (tptp.c_Relation_OImage @t51 @t29 @t50 @t462) @t395))) % 1.10/1.36 (assume @p301 (forall @t474 (=> (tptp.c_Relation_Osingle__valued @t29 @t51 (tptp.c_Relation_Oconverse @t51 @t29 @t50)) (= @t473 @t472)))) % 1.10/1.36 (assume @p302 (forall @t477 (= (tptp.c_Relation_Oconverse @t51 @t29 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t313 @t88 @t136)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t330 @t476 @t475)))) % 1.10/1.36 (assume @p303 (forall @t477 (= (tptp.c_Relation_Oconverse @t51 @t29 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t313 @t88 @t136)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t330 @t476 @t475)))) % 1.10/1.36 (assume @p304 (forall @t248 (= (tptp.c_Relation_OImage @t29 @t29 @t282 @t31) @t31))) % 1.10/1.36 (assume @p305 (forall @t92 (= (tptp.c_Relation_OField @t29 @t460) @t361))) % 1.10/1.36 (assume @p306 (forall @t284 (= (tptp.c_Relation_Oconverse @t29 @t29 @t282) @t282))) % 1.10/1.36 (assume @p307 (forall @t256 (= (tptp.c_Relation_Orefl__on @t29 @t31 @t460) @t259))) % 1.10/1.36 (assume @p308 (forall @t92 (= (tptp.c_Relation_Oantisym @t29 @t460) @t293))) % 1.10/1.36 (assume @p309 (forall @t92 (= (tptp.c_Wellfounded_Oacyclic @t29 @t460) @t280))) % 1.10/1.36 (assume @p310 (forall @t248 (= (tptp.c_Relation_Oconverse @t29 @t29 @t237) @t237))) % 1.10/1.36 (assume @p311 (forall @t400 (= (tptp.c_Relation_Oconverse @t51 @t29 @t478) @t88))) % 1.10/1.36 (assume @p312 (forall @t92 (= @t480 @t479))) % 1.10/1.36 (assume @p313 (forall @t92 (= @t481 (tptp.c_Relation_Oconverse @t29 @t29 @t172)))) % 1.10/1.36 (assume @p314 (forall (@list @t27 @t31 @t50 @t29 @t51) (= (tptp.c_Relation_OImage @t51 @t29 @t50 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t461 @t31 @t27)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t471 @t470)))) % 1.10/1.36 (assume @p315 (forall (@list @t2 @t50 @t51 @t29) (= (tptp.c_Relation_Oconverse @t29 @t29 (tptp.c_Relation_Oinv__image @t51 @t29 @t50 @t2)) (tptp.c_Relation_Oinv__image @t51 @t29 (tptp.c_Relation_Oconverse @t51 @t51 @t50) @t2)))) % 1.10/1.36 (assume @p316 (forall @t256 (= (tptp.c_Relation_Ototal__on @t29 @t31 @t460) @t255))) % 1.10/1.36 (assume @p317 (forall @t205 (= @t484 @t483))) % 1.10/1.36 (assume @p318 (forall @t205 (=> @t204 (tptp.c_member @t249 @t482 @t478)))) % 1.10/1.36 (assume @p319 (forall @t205 (=> @t484 @t483))) % 1.10/1.36 (assume @p320 (forall (@list @t31 @t341 @t50 @t29 @t51) (= (tptp.c_Relation_OImage @t51 @t29 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t313 @t50 @t341) @t31) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t471 (tptp.c_Relation_OImage @t51 @t29 @t341 @t31))))) % 1.10/1.36 (assume @p321 (forall @t92 (=> (tptp.c_Wellfounded_Owf @t29 @t460) (tptp.c_Wellfounded_Owf @t29 @t479)))) % 1.10/1.36 (assume @p322 (forall @t315 (= (tptp.c_Relation_OImage @t29 @t29 @t237 @t27) @t418))) % 1.10/1.36 (assume @p323 (forall @t400 (= @t250 @t485))) % 1.10/1.36 (assume @p324 (forall @t211 (= @t485 @t250))) % 1.10/1.36 (assume @p325 (forall @t400 (= (tptp.c_Relation_ORange @t51 @t29 @t478) @t202))) % 1.10/1.36 (assume @p326 (forall (@list @t37) (= (tptp.c_member @t23 (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t37) tptp.c_Arrow__Order__Mirabelle_OLin) @t148))) % 1.10/1.36 (assume @p327 (forall @t488 (= @t487 (exists @t6 (and @t486 @t252))))) % 1.10/1.36 (assume @p328 (forall (@list @t88 @t63 @t51 @t31 @t65 @t29) (=> @t107 (=> @t204 (tptp.c_member @t51 @t63 @t489))))) % 1.10/1.36 (assume @p329 (forall @t289 (=> @t491 @t490))) % 1.10/1.36 (assume @p330 (forall @t492 (=> @t490 @t491))) % 1.10/1.36 (assume @p331 (forall @t492 (=> @t494 @t493))) % 1.10/1.36 (assume @p332 (forall @t492 (=> @t493 @t494))) % 1.10/1.36 (assume @p333 (forall @t294 (=> (tptp.c_Order__Relation_Opartial__order__on @t29 @t361 @t88) @t469))) % 1.10/1.36 (assume @p334 (forall @t488 (=> @t487 (not (forall @t6 (=> @t252 (not @t486))))))) % 1.10/1.36 (assume @p335 (forall @t284 (tptp.c_Order__Relation_Owell__order__on @t29 @t395 @t398))) % 1.10/1.36 (assume @p336 (forall @t256 (= (tptp.c_Order__Relation_Opartial__order__on @t29 @t31 @t460) @t495))) % 1.10/1.36 (assume @p337 (forall @t284 (tptp.c_Order__Relation_Opartial__order__on @t29 @t395 @t398))) % 1.10/1.36 (assume @p338 (forall @t256 (= @t496 (and @t495 @t255)))) % 1.10/1.36 (assume @p339 (forall @t256 (= @t495 (and @t497 @t293)))) % 1.10/1.36 (assume @p340 (forall (@list @t63 @t65 @t39 @t88 @t31 @t29) (=> @t498 (=> (tptp.c_member @t29 @t39 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t465 @t464)) @t162)))) % 1.10/1.36 (assume @p341 (forall @t256 (= (tptp.c_Order__Relation_Opreorder__on @t29 @t31 @t460) @t497))) % 1.10/1.36 (assume @p342 (forall @t256 (= (tptp.c_Order__Relation_Olinear__order__on @t29 @t31 @t460) @t496))) % 1.10/1.36 (assume @p343 (forall @t262 (=> @t498 (=> @t107 (tptp.c_member @t29 @t65 @t465))))) % 1.10/1.36 (assume @p344 (forall @t499 (=> @t498 (=> @t162 @t466)))) % 1.10/1.36 (assume @p345 (forall @t284 (tptp.c_Order__Relation_Opreorder__on @t29 @t395 @t398))) % 1.10/1.36 (assume @p346 (forall @t260 (=> @t498 (=> @t111 (=> @t110 (= @t502 @t258)))))) % 1.10/1.36 (assume @p347 (forall (@list @t31 @t63 @t65 @t88 @t29) (=> @t466 (=> @t498 @t503)))) % 1.10/1.36 (assume @p348 (forall @t260 (=> @t498 (= @t258 (and @t502 @t111 @t110))))) % 1.10/1.36 (assume @p349 (forall @t284 (tptp.c_Order__Relation_Olinear__order__on @t29 @t395 @t398))) % 1.10/1.36 (assume @p350 (forall @t294 (=> @t505 (=> @t468 (=> @t467 (= @t504 @t292)))))) % 1.10/1.36 (assume @p351 (forall @t260 (=> @t498 (=> @t111 (=> @t110 (= (= @t506 (tptp.c_Equiv__Relations_Oquotient @t29 @t500 @t88)) @t258)))))) % 1.10/1.36 (assume @p352 (forall (@list @t65 @t63 @t88 @t31 @t29) (=> @t498 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t464 @t465) @t503)))) % 1.10/1.36 (assume @p353 (forall @t370 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t369)))) % 1.10/1.36 (assume @p354 (forall @t315 (=> @t509 (=> @t508 @t36)))) % 1.10/1.36 (assume @p355 (forall (@list @t28 @t27 @t31 @t29) (=> @t509 @t510))) % 1.10/1.36 (assume @p356 (forall @t248 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t395 @t31))) % 1.10/1.36 (assume @p357 (forall @t256 (= (= @t512 @t511) @t402))) % 1.10/1.36 (assume @p358 (forall @t256 (= (= @t511 @t512) @t402))) % 1.10/1.36 (assume @p359 (forall @t92 (= (tptp.c_Equiv__Relations_Oquotient @t29 @t395 @t88) @t511))) % 1.10/1.36 (assume @p360 (forall @t338 (= (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t316 @t27) (and @t112 @t509)))) % 1.10/1.36 (assume @p361 (forall @t338 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t336) @t509)))) % 1.10/1.36 (assume @p362 (forall @t387 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t446 @t447)))) % 1.10/1.36 (assume @p363 (forall @t387 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t450 @t449)))) % 1.10/1.36 (assume @p364 (forall @t516 (=> @t515 (=> @t514 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t418 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t319 @t513)))))) % 1.10/1.36 (assume @p365 (forall @t518 (=> @t517 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t319 @t27) (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t319 @t418))))) % 1.10/1.36 (assume @p366 (forall @t519 (=> @t508 (= @t418 @t27)))) % 1.10/1.36 (assume @p367 (forall @t315 (=> @t509 (= @t418 @t31)))) % 1.10/1.36 (assume @p368 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t418 @t27))) % 1.10/1.36 (assume @p369 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t418 @t31))) % 1.10/1.36 (assume @p370 (forall @t523 (=> @t438 (=> @t522 (not (=> @t521 (not @t520))))))) % 1.10/1.36 (assume @p371 (forall @t527 (=> @t438 (=> @t526 (=> @t525 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t440 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t379 @t524))))))) % 1.10/1.36 (assume @p372 (forall @t387 (=> @t438 (=> @t529 (=> @t528 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t369 @t434)))))) % 1.10/1.36 (assume @p373 (forall @t523 (=> @t438 (=> @t521 (=> @t520 @t522))))) % 1.10/1.36 (assume @p374 (forall @t531 (=> @t438 (=> @t530 (= @t436 @t373))))) % 1.10/1.36 (assume @p375 (forall @t377 (=> @t438 (=> @t529 (= @t436 @t369))))) % 1.10/1.36 (assume @p376 (forall (@list @t106 @t369 @t104 @t29) (=> @t438 (=> @t533 @t532)))) % 1.10/1.36 (assume @p377 (forall @t535 (=> @t438 (=> @t534 @t532)))) % 1.10/1.36 (assume @p378 (forall @t538 (=> @t438 (= (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t39 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t38 @t42)) (and @t537 @t536))))) % 1.10/1.36 (assume @p379 (forall @t182 (=> @t438 (= @t537 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t29 @t39 @t38) @t39))))) % 1.10/1.36 (assume @p380 (forall @t377 (=> @t438 @t539))) % 1.10/1.36 (assume @p381 (forall @t377 (=> @t353 @t539))) % 1.10/1.36 (assume @p382 (forall @t377 (=> @t438 @t540))) % 1.10/1.36 (assume @p383 (forall @t377 (=> @t353 @t540))) % 1.10/1.36 (assume @p384 (forall (@list @t31 @t541 @t88 @t431 @t51 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t330 @t431 @t88) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t541 @t31) (tptp.c_Orderings_Oord__class_Oless__eq @t461 (tptp.c_Relation_OImage @t29 @t51 @t431 @t541) @t489))))) % 1.10/1.36 (assume @p385 (forall @t543 (=> @t542 (=> (tptp.c_Relation_Osingle__valued @t29 @t51 @t136) @t208)))) % 1.10/1.36 (assume @p386 (forall @t300 (=> @t509 (=> @t111 @t112)))) % 1.10/1.36 (assume @p387 (forall @t338 (=> @t111 (=> @t509 @t112)))) % 1.10/1.36 (assume @p388 (forall @t377 (=> @t353 @t544))) % 1.10/1.36 (assume @p389 (forall @t377 (=> @t367 @t544))) % 1.10/1.36 (assume @p390 (forall @t531 (=> @t353 @t545))) % 1.10/1.36 (assume @p391 (forall @t531 (=> @t367 @t545))) % 1.10/1.36 (assume @p392 (forall @t182 (=> @t367 (= @t537 (= @t410 @t38))))) % 1.10/1.36 (assume @p393 (forall @t538 (=> @t367 (= (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t410 @t42) (and @t536 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t38 @t42)))))) % 1.10/1.36 (assume @p394 (forall @t523 (=> @t367 (=> @t521 @t546)))) % 1.10/1.36 (assume @p395 (forall (@list @t106 @t104 @t369 @t29) (=> @t367 (=> @t520 @t546)))) % 1.10/1.36 (assume @p396 (forall @t377 (=> @t367 (=> @t529 (= @t375 @t373))))) % 1.10/1.36 (assume @p397 (forall @t531 (=> @t367 (=> @t530 (= @t375 @t369))))) % 1.10/1.36 (assume @p398 (forall @t535 (=> @t367 (=> @t534 (=> @t533 @t547))))) % 1.10/1.36 (assume @p399 (forall @t549 (=> @t367 (=> @t530 (=> @t548 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t384 @t369)))))) % 1.10/1.36 (assume @p400 (forall @t527 (=> @t367 (=> @t526 (=> @t525 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t371 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t29 @t379 @t524))))))) % 1.10/1.36 (assume @p401 (forall (@list @t369 @t104 @t106 @t29) (=> @t367 (=> @t547 (not (=> @t534 (not @t533))))))) % 1.10/1.36 (assume @p402 (forall (@list @t65 @t27 @t29) (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t27 @t318))) % 1.10/1.36 (assume @p403 (forall (@list @t63 @t27 @t31 @t29) (=> @t509 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t304)))) % 1.10/1.36 (assume @p404 (forall (@list @t65 @t513 @t319 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t319 @t513) (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Set_Oinsert @t29 @t65 @t319) (tptp.c_Set_Oinsert @t29 @t65 @t513))))) % 1.10/1.36 (assume @p405 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t298))) % 1.10/1.36 (assume @p406 (forall @t519 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t27 @t298))) % 1.10/1.36 (assume @p407 (forall @t315 (= @t509 @t550))) % 1.10/1.36 (assume @p408 (forall @t315 (=> @t509 @t550))) % 1.10/1.36 (assume @p409 (forall @t519 (=> @t508 (= @t298 @t31)))) % 1.10/1.36 (assume @p410 (forall (@list @t27 @t319 @t31 @t29) (=> @t515 (=> @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t298 @t319))))) % 1.10/1.36 (assume @p411 (forall @t516 (=> @t515 (=> @t514 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t298 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t319 @t513)))))) % 1.10/1.36 (assume @p412 (forall @t366 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t88 @t552) @t553))) % 1.10/1.36 (assume @p413 (forall @t345 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t50 @t341) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t341 @t195) (= @t343 @t195))))) % 1.10/1.36 (assume @p414 (forall @t366 (=> @t554 @t553))) % 1.10/1.36 (assume @p415 (forall @t555 (=> @t360 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t184 @t88) (tptp.c_Wellfounded_Owf @t29 @t184))))) % 1.10/1.36 (assume @p416 (forall @t543 (=> @t542 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t202 (tptp.c_Relation_ODomain @t29 @t51 @t136))))) % 1.10/1.36 (assume @p417 (forall (@list @t39 @t357 @t54 @t29) (=> @t558 (=> @t60 @t557)))) % 1.10/1.36 (assume @p418 (forall (@list @t357 @t29 @t39 @t54) (=> @t60 (=> @t558 @t557)))) % 1.10/1.36 (assume @p419 (forall @t559 (=> @t36 (not (=> @t509 (not @t508)))))) % 1.10/1.36 (assume @p420 (forall @t323 (=> @t509 (=> @t551 @t515)))) % 1.10/1.36 (assume @p421 (forall @t559 (=> @t36 @t508))) % 1.10/1.36 (assume @p422 (forall @t559 (=> @t36 @t509))) % 1.10/1.36 (assume @p423 (forall @t559 (= @t36 (and @t509 @t508)))) % 1.10/1.36 (assume @p424 (forall @t248 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t31))) % 1.10/1.36 (assume @p425 (forall (@list @t561 @t560 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t560 @t561) (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Wellfounded_Oacc @t29 @t561) (tptp.c_Wellfounded_Oacc @t29 @t560))))) % 1.10/1.36 (assume @p426 (forall @t366 (=> @t554 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t361 @t365)))) % 1.10/1.36 (assume @p427 (forall (@list @t88 @t136 @t29) (=> (tptp.c_Wellfounded_Oacyclic @t29 @t136) (=> @t554 @t280)))) % 1.10/1.36 (assume @p428 (forall @t366 (=> @t554 (=> (tptp.c_Relation_Oantisym @t29 @t136) @t293)))) % 1.10/1.36 (assume @p429 (forall @t377 (=> @t562 (=> (not @t529) @t530)))) % 1.10/1.36 (assume @p430 (forall (@list @t39 @t1 @t2 @t29 @t51) (=> @t564 (=> @t563 (tptp.c_Orderings_Oord__class_Oless__eq @t51 @t175 @t351))))) % 1.10/1.36 (assume @p431 (forall @t549 (=> @t565 (=> @t530 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t382 @t373) @t548))))) % 1.10/1.36 (assume @p432 (forall @t531 (=> @t565 (=> @t530 (=> @t529 @t566))))) % 1.10/1.36 (assume @p433 (forall @t387 (=> @t507 (=> @t529 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t373 @t382) @t528))))) % 1.10/1.36 (assume @p434 (forall @t377 (=> @t565 (=> @t529 (=> @t530 @t566))))) % 1.10/1.36 (assume @p435 (forall @t381 (=> @t565 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t104 @t106) (=> @t568 @t567))))) % 1.10/1.36 (assume @p436 (forall @t388 (=> @t569 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t106 @t104) (=> @t568 @t526))))) % 1.10/1.36 (assume @p437 (forall @t388 (=> @t565 (=> @t570 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t379 @t104) @t567))))) % 1.10/1.36 (assume @p438 (forall @t388 (=> @t569 (=> @t570 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t104 @t379) @t526))))) % 1.10/1.36 (assume @p439 (forall (@list @t39 @t38 @t29) (=> @t565 (=> @t571 (= @t537 @t45))))) % 1.10/1.36 (assume @p440 (forall @t377 (=> @t507 (=> @t566 @t529)))) % 1.10/1.36 (assume @p441 (forall @t182 (=> @t565 (= @t45 (and @t537 @t571))))) % 1.10/1.36 (assume @p442 (forall @t377 (=> @t562 (or @t529 @t530)))) % 1.10/1.36 (assume @p443 (forall (@list @t1 @t2 @t29 @t51) (=> @t564 (= @t563 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t51 @t5 @t4)))))) % 1.10/1.36 (assume @p444 (forall @t370 (=> @t415 (tptp.c_Orderings_Oord__class_Oless__eq @t29 @t408 @t369)))) % 1.10/1.36 (assume @p445 (forall (@list @t27 @t29 @t31) (=> (= @t31 @t398) (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t31 @t27)))) % 1.10/1.36 (assume @p446 (forall @t248 (= (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t395) @t402))) % 1.10/1.36 (assume @p447 (forall (@list @t39 @t31 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t414) (or @t402 (= @t31 @t414))))) % 1.10/1.36 (assume @p448 (forall @t323 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t418 @t319) @t425) @t517))) % 1.10/1.36 (assume @p449 (forall (@list @t136 @t88 @t184 @t29) (=> @t265 (=> @t554 (tptp.c_member @t90 @t184 (tptp.c_Transitive__Closure_Otrancl @t29 @t136)))))) % 1.10/1.36 (assume @p450 (forall @t474 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t473 @t472))) % 1.10/1.36 (assume @p451 (forall (@list @t572 @t88 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Relation_OImage @t29 @t29 @t88 @t572) @t572) (= (tptp.c_Relation_OImage @t29 @t29 @t172 @t572) @t572)))) % 1.10/1.36 (assume @p452 (forall @t345 (tptp.c_Orderings_Oord__class_Oless__eq @t290 @t344 @t342))) % 1.10/1.36 (assume @p453 (forall (@list @t31 @t50 @t29) (=> @t463 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 (tptp.c_Relation_OImage @t29 @t29 @t50 @t31)) @t402)))) % 1.10/1.36 (assume @p454 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Relation_ODomain @t29 @t51 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t330 @t31 @t27)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t329 @t328)))) % 1.10/1.36 (assume @p455 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Relation_ORange @t51 @t29 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t313 @t31 @t27)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t312 @t311)))) % 1.10/1.36 (assume @p456 (forall @t171 (= @t506 (tptp.c_Set_Oinsert @t297 @t501 @t511)))) % 1.10/1.36 (assume @p457 (forall (@list @t573 @t572 @t88 @t31 @t29) (=> @t498 (=> @t576 (=> @t575 (or @t574 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t572 @t573) @t395))))))) % 1.10/1.36 (assume @p458 (forall (@list @t88 @t31 @t39 @t29) (=> @t111 (tptp.c_member @t297 @t501 @t512)))) % 1.10/1.36 (assume @p459 (forall @t499 (=> @t498 (=> @t162 @t504)))) % 1.10/1.36 (assume @p460 (forall @t579 (=> @t498 (=> @t576 (=> @t575 (=> @t578 (=> @t577 (= @t574 @t258)))))))) % 1.10/1.36 (assume @p461 (forall @t579 (=> @t498 (=> @t576 (=> @t575 (=> @t578 (=> @t577 (=> @t258 @t574)))))))) % 1.10/1.36 (assume @p462 (forall (@list @t27 @t31 @t88 @t29) (=> @t505 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t361) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t27 @t361) (= (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Relation_OImage @t29 @t29 @t88 @t31) (tptp.c_Relation_OImage @t29 @t29 @t88 @t27)) (forall @t6 (=> @t251 (exists @t133 (and @t421 @t253)))))))))) % 1.10/1.36 (assume @p463 (forall (@list @t88 @t31 @t572 @t29) (=> @t576 (not (forall @t6 (=> (= @t572 (tptp.c_Relation_OImage @t29 @t29 @t88 (tptp.c_Set_Oinsert @t29 @t3 @t395))) @t403)))))) % 1.10/1.36 (assume @p464 (forall @t555 (=> (tptp.c_Wellfounded_OwfP @t29 @t88) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t29 @t297) @t184 @t88) (tptp.c_Wellfounded_OwfP @t29 @t184))))) % 1.10/1.36 (assume @p465 (forall (@list @t42 @t38 @t2 @t88 @t51 @t29) (=> (tptp.c_Equiv__Relations_Ocongruent @t29 @t51 @t88 @t2) (=> (tptp.c_member @t90 @t198 @t88) (= @t257 (tptp.hAPP @t2 @t42)))))) % 1.10/1.36 (assume @p466 (forall (@list @t50 @t29 @t38 @t39 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t175 @t257) (=> (tptp.c_member @t90 @t196 @t50) (tptp.c_member @t90 @t196 @t580))))) % 1.10/1.36 (assume @p467 (forall (@list @t357 @t51 @t29 @t38 @t39 @t54) (=> @t583 (=> @t582 @t581)))) % 1.10/1.36 (assume @p468 (forall (@list @t38 @t39 @t357 @t54 @t51 @t29) (=> @t582 (=> @t583 @t581)))) % 1.10/1.36 (assume @p469 (forall (@list @t2 @t50 @t29) (=> @t463 (tptp.c_Wellfounded_Owf @t29 @t580)))) % 1.10/1.36 (assume @p470 (forall (@list @t65 @t2 @t584 @t125 @t51 @t585 @t31 @t29) (=> (tptp.c_Equiv__Relations_Oequiv @t29 @t31 @t585) (=> (tptp.c_Equiv__Relations_Ocongruent2 @t29 @t51 @t125 @t585 @t584 @t2) (=> @t107 (tptp.c_Equiv__Relations_Ocongruent @t51 @t125 @t584 @t391)))))) % 1.10/1.36 (assume @p471 (forall @t256 (= (tptp.c_Order__Relation_Owell__order__on @t29 @t31 @t88) (and @t496 (tptp.c_Wellfounded_Owf @t29 (tptp.c_Groups_Ominus__class_Ominus @t290 @t88 @t282)))))) % 1.10/1.36 (assume @p472 (forall @t309 (=> @t32 (=> @t34 @t587)))) % 1.10/1.36 (assume @p473 (forall @t309 (=> @t587 (not @t510)))) % 1.10/1.36 (assume @p474 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Groups_Ominus__class_Ominus @t297 @t329 @t328) (tptp.c_Relation_ODomain @t29 @t51 (tptp.c_Groups_Ominus__class_Ominus @t330 @t31 @t27))))) % 1.10/1.36 (assume @p475 (forall @t323 (=> @t509 (=> @t551 (= (tptp.c_Groups_Ominus__class_Ominus @t297 @t27 (tptp.c_Groups_Ominus__class_Ominus @t297 @t319 @t31)) @t31))))) % 1.10/1.36 (assume @p476 (forall (@list @t27 @t513 @t319 @t31 @t29) (=> @t515 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t513 @t27) (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t586 (tptp.c_Groups_Ominus__class_Ominus @t297 @t319 @t513)))))) % 1.10/1.36 (assume @p477 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t586 @t31))) % 1.10/1.36 (assume @p478 (forall @t331 (tptp.c_Orderings_Oord__class_Oless__eq @t297 (tptp.c_Groups_Ominus__class_Ominus @t297 @t312 @t311) (tptp.c_Relation_ORange @t51 @t29 (tptp.c_Groups_Ominus__class_Ominus @t313 @t31 @t27))))) % 1.10/1.36 (assume @p479 (forall @t315 (=> @t509 (= @t589 @t27)))) % 1.10/1.36 (assume @p480 (forall @t323 (= (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t586 @t319) (tptp.c_Orderings_Oord__class_Oless__eq @t297 @t31 @t321)))) % 1.10/1.36 (assume @p481 (forall @t315 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t586 @t418) @t31))) % 1.10/1.36 (assume @p482 (forall @t323 (= (tptp.c_Groups_Ominus__class_Ominus @t297 @t31 @t321) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t586 @t590)))) % 1.10/1.36 (assume @p483 (forall @t323 (= (tptp.c_Groups_Ominus__class_Ominus @t297 @t31 @t426) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t586 @t590)))) % 1.10/1.36 (assume @p484 (forall (@list @t39 @t27 @t31 @t51 @t29) (=> (tptp.class_Groups_Ominus @t29) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t352 @t31 @t27) @t39) (tptp.c_Groups_Ominus__class_Ominus @t29 @t113 @t295))))) % 1.10/1.36 (assume @p485 (forall @t315 (= (tptp.c_Groups_Ominus__class_Ominus @t297 @t586 @t27) @t586))) % 1.10/1.36 (assume @p486 (forall @t323 (= (tptp.c_Groups_Ominus__class_Ominus @t297 @t298 @t319) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t590 (tptp.c_Groups_Ominus__class_Ominus @t297 @t27 @t319))))) % 1.10/1.36 (assume @p487 (forall @t519 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t297 @t588 @t31) @t314))) % 1.10/1.36 (assume @p488 (forall @t315 (= @t589 @t298))) % 1.10/1.36 (assume @p489 (forall @t518 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t319 @t586) (tptp.c_Groups_Ominus__class_Ominus @t297 @t427 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t297 @t319 @t27))))) % 1.10/1.36 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p491 (forall @t595 (=> @t594 (tptp.class_Lattices_Obounded__lattice @t593)))) % 1.10/1.36 (assume @p492 (forall @t595 (=> @t594 (tptp.class_Lattices_Obounded__lattice__bot @t593)))) % 1.10/1.36 (assume @p493 (forall @t595 (=> @t596 (tptp.class_Lattices_Osemilattice__sup @t593)))) % 1.10/1.36 (assume @p494 (forall @t595 (=> @t596 (tptp.class_Lattices_Osemilattice__inf @t593)))) % 1.10/1.36 (assume @p495 (forall @t595 (=> (tptp.class_Lattices_Odistrib__lattice @t591) (tptp.class_Lattices_Odistrib__lattice @t593)))) % 1.10/1.36 (assume @p496 (forall @t595 (=> (tptp.class_Orderings_Opreorder @t591) (tptp.class_Orderings_Opreorder @t593)))) % 1.10/1.36 (assume @p497 (forall @t595 (=> @t596 (tptp.class_Lattices_Olattice @t593)))) % 1.10/1.36 (assume @p498 (forall @t595 (=> (tptp.class_Orderings_Oorder @t591) (tptp.class_Orderings_Oorder @t593)))) % 1.10/1.36 (assume @p499 (forall @t595 (=> (tptp.class_Orderings_Oord @t591) (tptp.class_Orderings_Oord @t593)))) % 1.10/1.36 (assume @p500 (forall @t595 (=> (tptp.class_Orderings_Obot @t591) (tptp.class_Orderings_Obot @t593)))) % 1.10/1.36 (assume @p501 (forall @t595 (=> (tptp.class_Groups_Ominus @t591) (tptp.class_Groups_Ominus @t593)))) % 1.10/1.36 (assume @p502 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p503 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p504 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p505 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p506 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p507 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p508 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p509 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p510 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p511 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.10/1.36 (assume @p512 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p513 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p514 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p515 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p516 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p517 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p518 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p519 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p520 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p521 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.10/1.36 (assume @p522 (forall @t598 (or (not @t597) @t45))) % 1.10/1.36 (assume @p523 (forall @t598 (or @t46 @t597))) % 1.10/1.36 (assume @p524 (not @t21)) % 1.10/1.36 (assume @p525 true) % 1.10/1.36 (step @p526 :rule and_elim :premises (@p6) :args (0)) % 1.10/1.36 (step @p527 :rule not_equiv_elim2 :premises (@p524)) % 1.10/1.36 (step @p528 :rule aci_norm :args ((= (or @t411 @t604) (or @t411 @t603 @t602 @t601 @t600 @t599 @t68)))) % 1.10/1.36 (step @p529 :rule aci_norm :args ((= (or @t603 @t605) @t604))) % 1.10/1.36 (step @p530 :rule aci_norm :args ((= (or @t602 @t606) @t605))) % 1.10/1.36 (step @p531 :rule aci_norm :args ((= (or @t601 @t607) @t606))) % 1.10/1.36 (step @p532 :rule aci_norm :args ((= (or @t600 (or @t599 @t68)) @t607))) % 1.10/1.36 (step @p533 :rule bool-impl-elim :args (@t71 @t68)) % 1.10/1.36 (step @p534 :rule refl :args (@t600)) % 1.10/1.36 (step @p535 :rule nary_cong :premises (@p534 @p533) :args ((or @t600 @t72))) % 1.10/1.36 (step @p536 :rule trans :premises (@p535 @p532)) % 1.10/1.36 (step @p537 :rule bool-impl-elim :args (@t73 @t72)) % 1.10/1.36 (step @p538 :rule trans :premises (@p537 @p536)) % 1.10/1.36 (step @p539 :rule refl :args (@t601)) % 1.10/1.36 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or @t601 @t74))) % 1.10/1.36 (step @p541 :rule trans :premises (@p540 @p531)) % 1.10/1.36 (step @p542 :rule bool-impl-elim :args (@t75 @t74)) % 1.10/1.36 (step @p543 :rule trans :premises (@p542 @p541)) % 1.10/1.36 (step @p544 :rule refl :args (@t602)) % 1.10/1.36 (step @p545 :rule nary_cong :premises (@p544 @p543) :args ((or @t602 @t76))) % 1.10/1.36 (step @p546 :rule trans :premises (@p545 @p530)) % 1.10/1.36 (step @p547 :rule refl :args (@t76)) % 1.10/1.36 (step @p548 :rule bool-double-not-elim :args (@t602)) % 1.10/1.36 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or (not @t608) @t76))) % 1.10/1.36 (step @p550 :rule bool-impl-elim :args (@t608 @t76)) % 1.10/1.36 (step @p551 :rule trans :premises (@p550 @p549)) % 1.10/1.36 (step @p552 :rule trans :premises (@p551 @p546)) % 1.10/1.36 (step @p553 :rule refl :args (@t603)) % 1.10/1.36 (step @p554 :rule nary_cong :premises (@p553 @p552) :args ((or @t603 @t609))) % 1.10/1.36 (step @p555 :rule trans :premises (@p554 @p529)) % 1.10/1.36 (step @p556 :rule refl :args (@t609)) % 1.10/1.36 (step @p557 :rule bool-double-not-elim :args (@t603)) % 1.10/1.36 (step @p558 :rule nary_cong :premises (@p557 @p556) :args ((or (not @t610) @t609))) % 1.10/1.36 (step @p559 :rule bool-impl-elim :args (@t610 @t609)) % 1.10/1.36 (step @p560 :rule trans :premises (@p559 @p558)) % 1.10/1.36 (step @p561 :rule trans :premises (@p560 @p555)) % 1.10/1.36 (step @p562 :rule refl :args (@t411)) % 1.10/1.36 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or @t411 @t611))) % 1.10/1.36 (step @p564 :rule trans :premises (@p563 @p528)) % 1.10/1.36 (step @p565 :rule refl :args (@t611)) % 1.10/1.36 (step @p566 :rule bool-double-not-elim :args (@t411)) % 1.10/1.36 (step @p567 :rule nary_cong :premises (@p566 @p565) :args ((or (not @t612) @t611))) % 1.10/1.36 (step @p568 :rule bool-impl-elim :args (@t612 @t611)) % 1.10/1.36 (step @p569 :rule trans :premises (@p568 @p567)) % 1.10/1.36 (step @p570 :rule trans :premises (@p569 @p564)) % 1.10/1.36 (step @p571 :rule cong :premises (@p570) :args ((forall @t86 (=> @t612 @t611)))) % 1.10/1.36 (step @p572 :rule refl :args (@t76)) % 1.10/1.36 (step @p573 :rule eq-symm :args (@t65 @t28)) % 1.10/1.36 (step @p574 :rule cong :premises (@p573) :args (@t78)) % 1.10/1.36 (step @p575 :rule cong :premises (@p574 @p572) :args (@t79)) % 1.10/1.36 (step @p576 :rule eq-symm :args (@t63 @t28)) % 1.10/1.36 (step @p577 :rule cong :premises (@p576) :args (@t81)) % 1.10/1.36 (step @p578 :rule cong :premises (@p577 @p575) :args (@t82)) % 1.10/1.36 (step @p579 :rule eq-symm :args (@t65 @t63)) % 1.10/1.36 (step @p580 :rule cong :premises (@p579) :args (@t84)) % 1.10/1.36 (step @p581 :rule cong :premises (@p580 @p578) :args (@t85)) % 1.10/1.36 (step @p582 :rule cong :premises (@p581) :args (@t87)) % 1.10/1.36 (step @p583 :rule trans :premises (@p582 @p571)) % 1.10/1.36 (step @p584 :rule eq_resolve :premises (@p16 @p583)) % 1.10/1.36 (step @p585 :rule instantiate :premises (@p584) :args ((@list tptp.v_P____ tptp.v_P_H____ tptp.v_b____ tptp.v_b_H____ tptp.v_a_H____))) % 1.10/1.36 (step @p586 :rule eq-symm :args (@t617 @t618)) % 1.10/1.36 (step @p587 :rule refl :args (@t17)) % 1.10/1.36 (step @p588 :rule cong :premises (@p587 @p586) :args ((=> @t17 @t619))) % 1.10/1.36 (assume-push @p726 @t17) % 1.10/1.36 (step @p590 :rule instantiate :premises (@p7) :args ((@list @t615))) % 1.10/1.36 (step-pop @p727 :rule scope :premises (@p590)) % 1.10/1.36 (step @p591 :rule process_scope :premises (@p727) :args (@t619)) % 1.10/1.36 (step @p593 :rule eq_resolve :premises (@p591 @p588)) % 1.10/1.36 (step @p594 :rule implies_elim :premises (@p593)) % 1.10/1.36 (step @p595 :rule chain_m_resolution :premises (@p594 @p7) :args (@t620 @t621 (@list @t17))) % 1.10/1.36 (step @p596 :rule cnf_equiv_pos2 :args (@t620)) % 1.10/1.36 (step @p597 :rule reordering :premises (@p596) :args ((or @t618 @t623 @t622))) % 1.10/1.36 (step @p598 :rule cnf_equiv_neg2 :args (@t625)) % 1.10/1.36 (assume-push @p728 @t9) % 1.10/1.36 (assume-push @p729 @t617) % 1.10/1.36 (assume-push @p730 @t617) % 1.10/1.36 (assume-push @p731 @t9) % 1.10/1.36 (step @p603 :rule true_intro :premises (@p729)) % 1.10/1.36 (step @p604 :rule refl :args (@t616)) % 1.10/1.36 (step @p605 :rule refl :args (tptp.v_b____)) % 1.10/1.36 (step @p606 :rule symm :premises (@p526)) % 1.10/1.36 (step @p607 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.10/1.36 (step @p608 :rule cong :premises (@p607 @p607 @p606 @p605) :args (@t613)) % 1.10/1.36 (step @p609 :rule refl :args (@t12)) % 1.10/1.36 (step @p610 :rule cong :premises (@p609 @p608 @p604) :args (@t624)) % 1.10/1.36 (step @p611 :rule trans :premises (@p610 @p603)) % 1.10/1.36 (step @p612 :rule true_elim :premises (@p611)) % 1.10/1.36 (step-pop @p732 :rule scope :premises (@p612)) % 1.10/1.36 (step-pop @p733 :rule scope :premises (@p732)) % 1.10/1.36 (step @p613 :rule process_scope :premises (@p733) :args (@t624)) % 1.10/1.36 (step @p616 :rule and_intro :premises (@p729 @p526)) % 1.10/1.36 (step @p617 :rule modus_ponens :premises (@p616 @p613)) % 1.10/1.36 (step-pop @p734 :rule scope :premises (@p617)) % 1.10/1.36 (step-pop @p735 :rule scope :premises (@p734)) % 1.10/1.36 (step @p618 :rule process_scope :premises (@p735) :args (@t624)) % 1.10/1.36 (step @p621 :rule implies_elim :premises (@p618)) % 1.10/1.36 (step @p622 :rule cnf_and_neg :args (@t626)) % 1.10/1.36 (step @p623 :rule resolution :premises (@p622 @p621) :args (true @t626)) % 1.10/1.36 (step @p624 :rule reordering :premises (@p623) :args ((or @t22 @t624 @t623))) % 1.10/1.36 (step @p625 :rule chain_m_resolution :premises (@p624 @p526 @p598 @p597 @p595) :args ((or @t625 @t623) (@list false true false false) (@list @t9 @t624 @t618 @t620))) % 1.10/1.36 (step @p626 :rule cnf_equiv_pos1 :args (@t620)) % 1.10/1.36 (step @p627 :rule reordering :premises (@p626) :args ((or (not @t618) @t617 @t622))) % 1.10/1.36 (step @p628 :rule cnf_equiv_neg1 :args (@t625)) % 1.10/1.36 (step @p629 :rule reordering :premises (@p628) :args ((or @t618 @t624 @t625))) % 1.10/1.36 (step @p630 :rule refl :args (@t627)) % 1.10/1.36 (step @p631 :rule bool-double-not-elim :args (@t617)) % 1.10/1.36 (step @p632 :rule refl :args (@t22)) % 1.10/1.36 (step @p633 :rule nary_cong :premises (@p632 @p631 @p630) :args ((or @t22 (not @t623) @t627))) % 1.10/1.36 (assume-push @p736 @t9) % 1.10/1.36 (assume-push @p737 @t623) % 1.10/1.36 (assume-push @p738 @t623) % 1.10/1.36 (assume-push @p739 @t9) % 1.10/1.36 (step @p638 :rule false_intro :premises (@p737)) % 1.10/1.36 (step @p604 :rule refl :args (@t616)) % 1.10/1.36 (step @p605 :rule refl :args (tptp.v_b____)) % 1.10/1.36 (step @p606 :rule symm :premises (@p526)) % 1.10/1.36 (step @p607 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.10/1.36 (step @p608 :rule cong :premises (@p607 @p607 @p606 @p605) :args (@t613)) % 1.10/1.36 (step @p609 :rule refl :args (@t12)) % 1.10/1.36 (step @p610 :rule cong :premises (@p609 @p608 @p604) :args (@t624)) % 1.10/1.36 (step @p639 :rule trans :premises (@p610 @p638)) % 1.10/1.36 (step @p640 :rule false_elim :premises (@p639)) % 1.10/1.36 (step-pop @p740 :rule scope :premises (@p640)) % 1.10/1.36 (step-pop @p741 :rule scope :premises (@p740)) % 1.10/1.36 (step @p641 :rule process_scope :premises (@p741) :args (@t627)) % 1.10/1.36 (step @p644 :rule and_intro :premises (@p737 @p526)) % 1.10/1.36 (step @p645 :rule modus_ponens :premises (@p644 @p641)) % 1.10/1.36 (step-pop @p742 :rule scope :premises (@p645)) % 1.10/1.36 (step-pop @p743 :rule scope :premises (@p742)) % 1.10/1.36 (step @p646 :rule process_scope :premises (@p743) :args (@t627)) % 1.10/1.36 (step @p649 :rule implies_elim :premises (@p646)) % 1.10/1.36 (step @p650 :rule cnf_and_neg :args (@t628)) % 1.10/1.36 (step @p651 :rule resolution :premises (@p650 @p649) :args (true @t628)) % 1.10/1.36 (step @p652 :rule eq_resolve :premises (@p651 @p633)) % 1.10/1.36 (step @p653 :rule reordering :premises (@p652) :args ((or @t22 @t627 @t617))) % 1.10/1.36 (step @p654 :rule chain_m_resolution :premises (@p653 @p526 @p629 @p627 @p595 @p625) :args (@t625 (@list false false true false true) (@list @t9 @t624 @t618 @t620 @t617))) % 1.10/1.36 (step @p655 :rule refl :args (@t629)) % 1.10/1.36 (step @p656 :rule bool-double-not-elim :args (@t614)) % 1.10/1.36 (step @p657 :rule nary_cong :premises (@p656 @p655) :args ((or (not @t630) @t629))) % 1.10/1.36 (assume-push @p744 @t630) % 1.10/1.36 (step @p659 :rule skolemize :premises (@p744)) % 1.10/1.36 (step-pop @p745 :rule scope :premises (@p659)) % 1.10/1.36 (step @p660 :rule process_scope :premises (@p745) :args (@t629)) % 1.10/1.36 (step @p662 :rule implies_elim :premises (@p660)) % 1.10/1.36 (step @p663 :rule eq_resolve :premises (@p662 @p657)) % 1.10/1.36 (step @p664 :rule chain_m_resolution :premises (@p663 @p654) :args (@t614 @t621 (@list @t625))) % 1.10/1.36 (step @p665 :rule symm :premises (@p4)) % 1.10/1.36 (step @p666 :rule false_intro :premises (@p665)) % 1.10/1.36 (step @p606 :rule symm :premises (@p526)) % 1.10/1.36 (step @p605 :rule refl :args (tptp.v_b____)) % 1.10/1.36 (step @p667 :rule cong :premises (@p605 @p606) :args (@t631)) % 1.10/1.36 (step @p668 :rule trans :premises (@p667 @p666)) % 1.10/1.36 (step @p669 :rule false_elim :premises (@p668)) % 1.10/1.36 (step @p670 :rule symm :premises (@p5)) % 1.10/1.36 (step @p671 :rule and_elim :premises (@p6) :args (1)) % 1.10/1.36 (step @p672 :rule cnf_or_pos :args (@t637)) % 1.10/1.36 (step @p673 :rule reordering :premises (@p672) :args ((or @t7 @t636 @t634 @t635 @t631 @t630 @t633 (not @t637)))) % 1.10/1.36 (step @p674 :rule chain_m_resolution :premises (@p673 @p671 @p670 @p9 @p10 @p669 @p664 @p585) :args (@t633 (@list true true false false true false false) (@list @t7 @t636 @t25 @t26 @t631 @t614 @t637))) % 1.10/1.36 (step @p675 :rule cnf_equiv_pos1 :args (@t633)) % 1.10/1.36 (step @p676 :rule reordering :premises (@p675) :args ((or @t639 @t632 @t638))) % 1.10/1.36 (step @p677 :rule refl :args (@t640)) % 1.10/1.36 (step @p678 :rule bool-double-not-elim :args (@t20)) % 1.10/1.36 (step @p679 :rule nary_cong :premises (@p632 @p678 @p677) :args ((or @t22 (not @t641) @t640))) % 1.10/1.36 (assume-push @p746 @t9) % 1.10/1.36 (assume-push @p747 @t641) % 1.10/1.36 (assume-push @p748 @t641) % 1.10/1.36 (assume-push @p749 @t9) % 1.10/1.36 (step @p684 :rule false_intro :premises (@p747)) % 1.10/1.36 (step @p685 :rule refl :args (@t19)) % 1.10/1.36 (step @p607 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.10/1.36 (step @p608 :rule cong :premises (@p607 @p607 @p606 @p605) :args (@t613)) % 1.10/1.36 (step @p609 :rule refl :args (@t12)) % 1.10/1.36 (step @p686 :rule cong :premises (@p609 @p608 @p685) :args (@t632)) % 1.10/1.36 (step @p687 :rule trans :premises (@p686 @p684)) % 1.10/1.36 (step @p688 :rule false_elim :premises (@p687)) % 1.10/1.36 (step-pop @p750 :rule scope :premises (@p688)) % 1.10/1.36 (step-pop @p751 :rule scope :premises (@p750)) % 1.10/1.36 (step @p689 :rule process_scope :premises (@p751) :args (@t640)) % 1.10/1.36 (step @p692 :rule and_intro :premises (@p747 @p526)) % 1.10/1.36 (step @p693 :rule modus_ponens :premises (@p692 @p689)) % 1.10/1.36 (step-pop @p752 :rule scope :premises (@p693)) % 1.10/1.36 (step-pop @p753 :rule scope :premises (@p752)) % 1.10/1.36 (step @p694 :rule process_scope :premises (@p753) :args (@t640)) % 1.10/1.36 (step @p697 :rule implies_elim :premises (@p694)) % 1.10/1.36 (step @p698 :rule cnf_and_neg :args (@t642)) % 1.10/1.36 (step @p699 :rule resolution :premises (@p698 @p697) :args (true @t642)) % 1.10/1.36 (step @p700 :rule eq_resolve :premises (@p699 @p679)) % 1.10/1.36 (step @p701 :rule chain_m_resolution :premises (@p700 @p526 @p676 @p674 @p527) :args (@t639 (@list false false false true) (@list @t9 @t632 @t633 @t20))) % 1.10/1.36 (step @p702 :rule not_equiv_elim1 :premises (@p524)) % 1.10/1.36 (step @p703 :rule chain_m_resolution :premises (@p702 @p701) :args (@t20 (@list true) (@list @t18))) % 1.10/1.36 (step @p704 :rule cnf_equiv_pos2 :args (@t633)) % 1.10/1.36 (step @p705 :rule reordering :premises (@p704) :args ((or @t18 @t640 @t638))) % 1.10/1.36 (step @p706 :rule chain_m_resolution :premises (@p705 @p701 @p674) :args (@t640 (@list true false) (@list @t18 @t633))) % 1.10/1.36 (assume-push @p754 @t9) % 1.10/1.36 (assume-push @p755 @t20) % 1.10/1.36 (assume-push @p756 @t20) % 1.10/1.36 (assume-push @p757 @t9) % 1.10/1.36 (step @p711 :rule true_intro :premises (@p755)) % 1.10/1.36 (step @p685 :rule refl :args (@t19)) % 1.10/1.36 (step @p607 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.10/1.36 (step @p608 :rule cong :premises (@p607 @p607 @p606 @p605) :args (@t613)) % 1.10/1.36 (step @p609 :rule refl :args (@t12)) % 1.10/1.36 (step @p686 :rule cong :premises (@p609 @p608 @p685) :args (@t632)) % 1.10/1.36 (step @p712 :rule trans :premises (@p686 @p711)) % 1.10/1.36 (step @p713 :rule true_elim :premises (@p712)) % 1.10/1.36 (step-pop @p758 :rule scope :premises (@p713)) % 1.10/1.36 (step-pop @p759 :rule scope :premises (@p758)) % 1.10/1.36 (step @p714 :rule process_scope :premises (@p759) :args (@t632)) % 1.10/1.36 (step @p717 :rule and_intro :premises (@p755 @p526)) % 1.10/1.36 (step @p718 :rule modus_ponens :premises (@p717 @p714)) % 1.10/1.36 (step-pop @p760 :rule scope :premises (@p718)) % 1.10/1.36 (step-pop @p761 :rule scope :premises (@p760)) % 1.10/1.36 (step @p719 :rule process_scope :premises (@p761) :args (@t632)) % 1.10/1.36 (step @p722 :rule implies_elim :premises (@p719)) % 1.10/1.36 (step @p723 :rule cnf_and_neg :args (@t643)) % 1.10/1.36 (step @p724 :rule resolution :premises (@p723 @p722) :args (true @t643)) % 1.10/1.36 (step @p725 false :rule chain_m_resolution :premises (@p724 @p706 @p703 @p526) :args (false (@list true false false) (@list @t632 @t20 @t9))) % 1.10/1.36 ) % 1.10/1.36 % SZS output end Proof % 1.10/1.36 % cvc5 exiting %------------------------------------------------------------------------------