%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT157+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 1.34s 1.51s % Output : Proof 1.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT157+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:32:01 EDT 2026 % 0.15/0.34 % CPUTime : % 0.48/0.63 %----Proving TF0_NAR, FOF, or CNF % 1.34/1.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.34/1.51 % SZS status Theorem % 1.34/1.51 % SZS output start Proof % 1.34/1.51 ( % 1.34/1.51 (declare-sort $$unsorted 0) % 1.34/1.51 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.34/1.51 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.v_P____ $$unsorted) % 1.34/1.51 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.34/1.51 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.v_F $$unsorted) % 1.34/1.51 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.v_b____ $$unsorted) % 1.34/1.51 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.34/1.51 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.v_a____ $$unsorted) % 1.34/1.51 (declare-const tptp.v_b_H____ $$unsorted) % 1.34/1.51 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.v_a_H____ $$unsorted) % 1.34/1.51 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.v_P_H____ $$unsorted) % 1.34/1.51 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.34/1.51 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 1.34/1.51 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.34/1.51 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 1.34/1.51 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 1.34/1.51 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.51 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.34/1.51 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.34/1.51 (define @t3 () (@var "B_x" $$unsorted)) % 1.34/1.51 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.34/1.51 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.34/1.51 (define @t6 () (@list @t3)) % 1.34/1.51 (define @t7 () (= tptp.v_b____ tptp.v_a_H____)) % 1.34/1.51 (define @t8 () (= tptp.v_a____ tptp.v_b_H____)) % 1.34/1.51 (define @t9 () (not @t8)) % 1.34/1.51 (define @t10 () (@var "B_i" $$unsorted)) % 1.34/1.51 (define @t11 () (tptp.hAPP tptp.v_P_H____ @t10)) % 1.34/1.51 (define @t12 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a_H____ tptp.v_b_H____)) % 1.34/1.51 (define @t13 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.34/1.51 (define @t14 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____)) % 1.34/1.51 (define @t15 () (tptp.c_member @t13 @t14 (tptp.hAPP tptp.v_P____ @t10))) % 1.34/1.51 (define @t16 () (@list @t10)) % 1.34/1.51 (define @t17 () (tptp.hAPP tptp.v_F tptp.v_P_H____)) % 1.34/1.51 (define @t18 () (tptp.c_member @t13 @t12 @t17)) % 1.34/1.51 (define @t19 () (tptp.c_member @t13 @t14 (tptp.hAPP tptp.v_F tptp.v_P____))) % 1.34/1.51 (define @t20 () (= @t19 @t18)) % 1.34/1.51 (define @t21 () (not @t7)) % 1.34/1.51 (define @t22 () (tptp.tc_fun @t13 tptp.tc_HOL_Obool)) % 1.34/1.51 (define @t23 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t22)) % 1.34/1.51 (define @t24 () (tptp.c_member @t23 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.34/1.51 (define @t25 () (tptp.c_member @t23 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.34/1.51 (define @t26 () (@var "V_B_2" $$unsorted)) % 1.34/1.51 (define @t27 () (@var "V_c_2" $$unsorted)) % 1.34/1.51 (define @t28 () (@var "T_a" $$unsorted)) % 1.34/1.51 (define @t29 () (tptp.c_member @t28 @t27 @t26)) % 1.34/1.51 (define @t30 () (@var "V_A_2" $$unsorted)) % 1.34/1.51 (define @t31 () (tptp.c_member @t28 @t27 @t30)) % 1.34/1.51 (define @t32 () (=> (not @t31) @t29)) % 1.34/1.51 (define @t33 () (not @t29)) % 1.34/1.51 (define @t34 () (=> @t31 @t33)) % 1.34/1.51 (define @t35 () (= @t30 @t26)) % 1.34/1.51 (define @t36 () (@var "V_L_2" $$unsorted)) % 1.34/1.51 (define @t37 () (@var "V_y_2" $$unsorted)) % 1.34/1.51 (define @t38 () (@var "V_x_2" $$unsorted)) % 1.34/1.51 (define @t39 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t37)) % 1.34/1.51 (define @t40 () (tptp.c_member @t13 @t39 @t36)) % 1.34/1.51 (define @t41 () (@var "V_z_2" $$unsorted)) % 1.34/1.51 (define @t42 () (= @t38 @t41)) % 1.34/1.51 (define @t43 () (not @t42)) % 1.34/1.51 (define @t44 () (= @t38 @t37)) % 1.34/1.51 (define @t45 () (not @t44)) % 1.34/1.51 (define @t46 () (= @t37 @t41)) % 1.34/1.51 (define @t47 () (not @t46)) % 1.34/1.51 (define @t48 () (@list @t41 @t36 @t37 @t38)) % 1.34/1.51 (define @t49 () (@var "V_R_2" $$unsorted)) % 1.34/1.51 (define @t50 () (@var "T_b" $$unsorted)) % 1.34/1.51 (define @t51 () (tptp.c_Product__Type_OPair @t28 @t50 @t38 @t37)) % 1.34/1.51 (define @t52 () (tptp.tc_prod @t28 @t50)) % 1.34/1.51 (define @t53 () (@var "V_Pa_2" $$unsorted)) % 1.34/1.51 (define @t54 () (tptp.c_Recdef_Osame__fst @t28 @t50 @t53 @t49)) % 1.34/1.51 (define @t55 () (@var "V_y_H_2" $$unsorted)) % 1.34/1.51 (define @t56 () (tptp.tc_prod @t52 @t52)) % 1.34/1.51 (define @t57 () (tptp.tc_prod @t50 @t50)) % 1.34/1.51 (define @t58 () (tptp.hAPP @t53 @t38)) % 1.34/1.51 (define @t59 () (tptp.hBOOL @t58)) % 1.34/1.51 (define @t60 () (@var "V_P_Ha_2" $$unsorted)) % 1.34/1.51 (define @t61 () (tptp.hAPP tptp.v_F @t60)) % 1.34/1.51 (define @t62 () (@var "V_ba_2" $$unsorted)) % 1.34/1.51 (define @t63 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t27)) % 1.34/1.51 (define @t64 () (@var "V_aa_2" $$unsorted)) % 1.34/1.51 (define @t65 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t64 @t62)) % 1.34/1.51 (define @t66 () (tptp.c_member @t13 @t65 (tptp.hAPP tptp.v_F @t53))) % 1.34/1.51 (define @t67 () (= @t66 (tptp.c_member @t13 @t63 @t61))) % 1.34/1.51 (define @t68 () (tptp.hAPP @t60 @t10)) % 1.34/1.51 (define @t69 () (tptp.c_member @t13 @t65 (tptp.hAPP @t53 @t10))) % 1.34/1.51 (define @t70 () (forall @t16 (= @t69 (tptp.c_member @t13 @t63 @t68)))) % 1.34/1.51 (define @t71 () (=> @t70 @t67)) % 1.34/1.51 (define @t72 () (tptp.c_member @t23 @t60 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.34/1.51 (define @t73 () (=> @t72 @t71)) % 1.34/1.51 (define @t74 () (tptp.c_member @t23 @t53 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.34/1.51 (define @t75 () (=> @t74 @t73)) % 1.34/1.51 (define @t76 () (= @t64 @t27)) % 1.34/1.51 (define @t77 () (not @t76)) % 1.34/1.51 (define @t78 () (=> @t77 @t75)) % 1.34/1.51 (define @t79 () (= @t62 @t27)) % 1.34/1.51 (define @t80 () (not @t79)) % 1.34/1.51 (define @t81 () (=> @t80 @t78)) % 1.34/1.51 (define @t82 () (= @t64 @t62)) % 1.34/1.51 (define @t83 () (not @t82)) % 1.34/1.51 (define @t84 () (=> @t83 @t81)) % 1.34/1.51 (define @t85 () (@list @t60 @t53 @t27 @t62 @t64)) % 1.34/1.51 (define @t86 () (forall @t85 @t84)) % 1.34/1.51 (define @t87 () (@var "V_r_2" $$unsorted)) % 1.34/1.51 (define @t88 () (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t3)) % 1.34/1.51 (define @t89 () (tptp.tc_prod @t28 @t28)) % 1.34/1.51 (define @t90 () (tptp.c_member @t89 @t88 @t87)) % 1.34/1.51 (define @t91 () (@list @t87 @t28)) % 1.34/1.51 (define @t92 () (@var "B_b" $$unsorted)) % 1.34/1.51 (define @t93 () (@var "B_a" $$unsorted)) % 1.34/1.51 (define @t94 () (tptp.c_Product__Type_OPair @t28 @t50 @t93 @t92)) % 1.34/1.51 (define @t95 () (@list @t93 @t92)) % 1.34/1.51 (define @t96 () (@var "B_x1" $$unsorted)) % 1.34/1.51 (define @t97 () (@var "V_b_Ha_2" $$unsorted)) % 1.34/1.51 (define @t98 () (@var "V_a_Ha_2" $$unsorted)) % 1.34/1.51 (define @t99 () (= @t64 @t98)) % 1.34/1.51 (define @t100 () (tptp.c_Product__Type_OPair @t28 @t50 @t98 @t97)) % 1.34/1.51 (define @t101 () (tptp.c_Product__Type_OPair @t28 @t50 @t64 @t62)) % 1.34/1.51 (define @t102 () (@var "V_b_H" $$unsorted)) % 1.34/1.51 (define @t103 () (@var "V_b" $$unsorted)) % 1.34/1.51 (define @t104 () (@var "V_a_H" $$unsorted)) % 1.34/1.51 (define @t105 () (@var "V_a" $$unsorted)) % 1.34/1.51 (define @t106 () (tptp.c_member @t28 @t64 @t30)) % 1.34/1.51 (define @t107 () (tptp.c_member @t28 @t62 @t30)) % 1.34/1.51 (define @t108 () (@list @t30 @t28 @t62 @t64)) % 1.34/1.51 (define @t109 () (tptp.c_member @t28 @t37 @t30)) % 1.34/1.51 (define @t110 () (tptp.c_member @t28 @t38 @t30)) % 1.34/1.51 (define @t111 () (tptp.c_member @t28 @t38 @t26)) % 1.34/1.51 (define @t112 () (tptp.hAPP @t30 @t38)) % 1.34/1.51 (define @t113 () (tptp.hBOOL @t112)) % 1.34/1.51 (define @t114 () (@list @t30 @t38 @t28)) % 1.34/1.51 (define @t115 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t64)) % 1.34/1.51 (define @t116 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t98 @t97)) % 1.34/1.51 (define @t117 () (tptp.c_member @t13 @t116 @t61)) % 1.34/1.51 (define @t118 () (forall @t16 (= @t69 (tptp.c_member @t13 @t116 @t68)))) % 1.34/1.51 (define @t119 () (not (= @t62 @t98))) % 1.34/1.51 (define @t120 () (not (= @t64 @t97))) % 1.34/1.51 (define @t121 () (not (= @t98 @t97))) % 1.34/1.51 (define @t122 () (@list @t60 @t53 @t97 @t98 @t62 @t64)) % 1.34/1.51 (define @t123 () (@var "V_f1_2" $$unsorted)) % 1.34/1.51 (define @t124 () (@var "T_c" $$unsorted)) % 1.34/1.51 (define @t125 () (tptp.c_Product__Type_OPair @t50 @t124 @t64 @t62)) % 1.34/1.51 (define @t126 () (@var "B_xa" $$unsorted)) % 1.34/1.51 (define @t127 () (@var "V_Fa_2" $$unsorted)) % 1.34/1.51 (define @t128 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t93 @t92)) % 1.34/1.51 (define @t129 () (tptp.hAPP @t127 @t3)) % 1.34/1.51 (define @t130 () (tptp.c_member @t13 @t128 @t129)) % 1.34/1.51 (define @t131 () (tptp.c_member @t13 @t128 (tptp.hAPP @t3 @t10))) % 1.34/1.51 (define @t132 () (@list @t126)) % 1.34/1.51 (define @t133 () (tptp.c_member @t23 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.34/1.51 (define @t134 () (@list @t127)) % 1.34/1.51 (define @t135 () (@var "V_s_2" $$unsorted)) % 1.34/1.51 (define @t136 () (@var "V_i_2" $$unsorted)) % 1.34/1.51 (define @t137 () (@var "B_z" $$unsorted)) % 1.34/1.51 (define @t138 () (@var "B_g" $$unsorted)) % 1.34/1.51 (define @t139 () (@var "V_a1_2" $$unsorted)) % 1.34/1.51 (define @t140 () (@list @t137)) % 1.34/1.51 (define @t141 () (forall @t140 (=> (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t137 @t139) @t49) (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t127 @t137 (tptp.hAPP @t138 @t137))))) % 1.34/1.51 (define @t142 () (tptp.hAPP (tptp.hAPP @t127 @t138) @t139)) % 1.34/1.51 (define @t143 () (@var "V_a2_2" $$unsorted)) % 1.34/1.51 (define @t144 () (tptp.hAPP (tptp.hAPP @t127 @t143) @t139)) % 1.34/1.51 (define @t145 () (@list @t138)) % 1.34/1.51 (define @t146 () (@list @t143 @t139 @t127 @t49 @t50 @t28)) % 1.34/1.51 (define @t147 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t28 @t50 tptp.tc_HOL_Obool @t2 @t64 @t62))) % 1.34/1.51 (define @t148 () (tptp.hBOOL (tptp.hAPP @t2 @t101))) % 1.34/1.51 (define @t149 () (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t137 @t38) @t49)) % 1.34/1.51 (define @t150 () (tptp.c_Wellfounded_Oacc @t28 @t87)) % 1.34/1.51 (define @t151 () (tptp.c_member @t28 @t3 @t150)) % 1.34/1.51 (define @t152 () (tptp.c_member @t28 @t64 @t150)) % 1.34/1.51 (define @t153 () (@list @t87 @t64 @t28)) % 1.34/1.51 (define @t154 () (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t62)) % 1.34/1.51 (define @t155 () (tptp.c_member @t89 @t154 @t87)) % 1.34/1.51 (define @t156 () (tptp.c_member @t28 @t62 @t150)) % 1.34/1.51 (define @t157 () (tptp.c_member @t22 @t36 tptp.c_Arrow__Order__Mirabelle_OLin)) % 1.34/1.51 (define @t158 () (@var "B_f" $$unsorted)) % 1.34/1.51 (define @t159 () (@var "B_R" $$unsorted)) % 1.34/1.51 (define @t160 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t64)) % 1.34/1.51 (define @t161 () (@var "B_y" $$unsorted)) % 1.34/1.51 (define @t162 () (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t161 @t38) @t87)) % 1.34/1.51 (define @t163 () (@list @t161)) % 1.34/1.51 (define @t164 () (tptp.hAPP @t2 @t38)) % 1.34/1.51 (define @t165 () (tptp.c_Recdef_Ocut @t28 @t50 @t2 @t87 @t64)) % 1.34/1.51 (define @t166 () (tptp.c_member @t89 @t160 @t87)) % 1.34/1.51 (define @t167 () (@list @t37 @t38 @t28)) % 1.34/1.51 (define @t168 () (@list @t38 @t36)) % 1.34/1.51 (define @t169 () (= @t38 @t64)) % 1.34/1.51 (define @t170 () (= @t37 @t62)) % 1.34/1.51 (define @t171 () (= @t37 @t64)) % 1.34/1.51 (define @t172 () (@list @t37 @t38 @t36 @t62 @t64)) % 1.34/1.51 (define @t173 () (= @t38 @t62)) % 1.34/1.51 (define @t174 () (@list @t36 @t37 @t38)) % 1.34/1.51 (define @t175 () (tptp.c_Wellfounded_Oacc @t28 @t49)) % 1.34/1.51 (define @t176 () (tptp.c_member @t28 @t38 @t150)) % 1.34/1.51 (define @t177 () (@list @t87 @t38 @t28)) % 1.34/1.51 (define @t178 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t87)) % 1.34/1.51 (define @t179 () (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t64)) % 1.34/1.51 (define @t180 () (tptp.c_member @t89 @t179 @t178)) % 1.34/1.51 (define @t181 () (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t64)) % 1.34/1.51 (define @t182 () (@var "V_p_2" $$unsorted)) % 1.34/1.51 (define @t183 () (tptp.c_member @t89 @t182 @t87)) % 1.34/1.51 (define @t184 () (@list @t87 @t182 @t28)) % 1.34/1.51 (define @t185 () (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t27)) % 1.34/1.51 (define @t186 () (tptp.c_member @t89 @t185 @t178)) % 1.34/1.51 (define @t187 () (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t27)) % 1.34/1.51 (define @t188 () (tptp.c_member @t89 @t187 @t178)) % 1.34/1.51 (define @t189 () (=> @t188 @t186)) % 1.34/1.51 (define @t190 () (@list @t27 @t87 @t62 @t64 @t28)) % 1.34/1.51 (define @t191 () (tptp.c_member @t89 @t187 @t87)) % 1.34/1.51 (define @t192 () (tptp.c_member @t89 @t154 @t178)) % 1.34/1.51 (define @t193 () (@var "B_L" $$unsorted)) % 1.34/1.51 (define @t194 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t49)) % 1.34/1.51 (define @t195 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t37)) % 1.34/1.51 (define @t196 () (tptp.c_member @t89 @t195 @t194)) % 1.34/1.51 (define @t197 () (tptp.c_Relation_ODomain @t28 @t50 @t87)) % 1.34/1.51 (define @t198 () (tptp.c_member @t28 @t64 @t197)) % 1.34/1.51 (define @t199 () (tptp.c_member @t52 @t101 @t87)) % 1.34/1.51 (define @t200 () (@list @t87 @t62 @t64 @t50 @t28)) % 1.34/1.51 (define @t201 () (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t64 @t161) @t87)) % 1.34/1.51 (define @t202 () (@list @t87 @t50 @t64 @t28)) % 1.34/1.51 (define @t203 () (tptp.c_Product__Type_OPair @t28 @t28 @t37 @t41)) % 1.34/1.51 (define @t204 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t41)) % 1.34/1.51 (define @t205 () (tptp.c_member @t89 @t204 @t178)) % 1.34/1.51 (define @t206 () (tptp.c_member @t89 @t195 @t178)) % 1.34/1.51 (define @t207 () (@var "V_by_2" $$unsorted)) % 1.34/1.51 (define @t208 () (@var "V_bx_2" $$unsorted)) % 1.34/1.51 (define @t209 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t208) @t207))) % 1.34/1.51 (define @t210 () (@var "B_ba" $$unsorted)) % 1.34/1.51 (define @t211 () (@var "B_aa" $$unsorted)) % 1.34/1.51 (define @t212 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t211) @t210))) % 1.34/1.51 (define @t213 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t93) @t92))) % 1.34/1.51 (define @t214 () (tptp.c_Product__Type_OPair @t28 @t50 @t211 @t210)) % 1.34/1.51 (define @t215 () (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t94 @t214) @t87)) % 1.34/1.51 (define @t216 () (tptp.c_Transitive__Closure_Ortrancl @t52 @t87)) % 1.34/1.51 (define @t217 () (@var "V_ay_2" $$unsorted)) % 1.34/1.51 (define @t218 () (@var "V_ax_2" $$unsorted)) % 1.34/1.51 (define @t219 () (tptp.c_Product__Type_OPair @t28 @t50 @t218 @t217)) % 1.34/1.51 (define @t220 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t218) @t217))) % 1.34/1.51 (define @t221 () (tptp.c_Product__Type_OPair @t28 @t50 @t208 @t207)) % 1.34/1.51 (define @t222 () (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t219 @t221) @t216)) % 1.34/1.51 (define @t223 () (@list @t53 @t87 @t207 @t208 @t217 @t218 @t50 @t28)) % 1.34/1.51 (define @t224 () (@var "V_zb_2" $$unsorted)) % 1.34/1.51 (define @t225 () (@var "V_za_2" $$unsorted)) % 1.34/1.51 (define @t226 () (tptp.c_Product__Type_OPair @t28 @t50 @t225 @t224)) % 1.34/1.51 (define @t227 () (@var "V_xb_2" $$unsorted)) % 1.34/1.51 (define @t228 () (@var "V_xa_2" $$unsorted)) % 1.34/1.51 (define @t229 () (tptp.c_Product__Type_OPair @t28 @t50 @t228 @t227)) % 1.34/1.51 (define @t230 () (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t161) @t178)) % 1.34/1.51 (define @t231 () (@list @t87 @t62 @t64 @t28)) % 1.34/1.51 (define @t232 () (tptp.c_Product__Type_OPair @t28 @t28 @t161 @t41)) % 1.34/1.51 (define @t233 () (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t161) @t87)) % 1.34/1.51 (define @t234 () (@list @t87 @t41 @t38 @t28)) % 1.34/1.51 (define @t235 () (@list @t3 @t161)) % 1.34/1.51 (define @t236 () (forall @t235 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t3 @t161) @t87) (forall @t140 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t3 @t137) @t87) (= @t161 @t137)))))) % 1.34/1.51 (define @t237 () (tptp.c_Relation_Osingle__valued @t28 @t50 @t87)) % 1.34/1.51 (define @t238 () (@list @t87 @t50 @t28)) % 1.34/1.51 (define @t239 () (tptp.c_Relation_OId__on @t28 @t30)) % 1.34/1.51 (define @t240 () (@list @t30 @t37 @t38 @t28)) % 1.34/1.51 (define @t241 () (tptp.hBOOL (tptp.hAPP @t53 @t62))) % 1.34/1.51 (define @t242 () (tptp.hBOOL (tptp.hAPP @t53 @t137))) % 1.34/1.51 (define @t243 () (tptp.hBOOL (tptp.hAPP @t53 @t161))) % 1.34/1.51 (define @t244 () (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t161 @t137) @t87)) % 1.34/1.51 (define @t245 () (tptp.hBOOL (tptp.hAPP @t53 @t64))) % 1.34/1.51 (define @t246 () (@list @t53 @t87 @t62 @t64 @t28)) % 1.34/1.51 (define @t247 () (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t126 @t3) @t87)) % 1.34/1.51 (define @t248 () (not (= @t3 @t126))) % 1.34/1.51 (define @t249 () (tptp.c_member @t28 @t3 @t30)) % 1.34/1.51 (define @t250 () (tptp.c_Relation_Ototal__on @t28 @t30 @t87)) % 1.34/1.51 (define @t251 () (@list @t87 @t30 @t28)) % 1.34/1.51 (define @t252 () (@list @t30 @t28)) % 1.34/1.51 (define @t253 () (tptp.tc_prod @t50 @t28)) % 1.34/1.51 (define @t254 () (tptp.c_Relation_ORange @t50 @t28 @t87)) % 1.34/1.51 (define @t255 () (tptp.c_member @t253 (tptp.c_Product__Type_OPair @t50 @t28 @t3 @t62) @t87)) % 1.34/1.51 (define @t256 () (tptp.hAPP @t2 @t37)) % 1.34/1.51 (define @t257 () (tptp.c_member @t89 @t195 @t87)) % 1.34/1.51 (define @t258 () (tptp.c_Relation_Orefl__on @t28 @t30 @t87)) % 1.34/1.51 (define @t259 () (@list @t37 @t38 @t87 @t30 @t28)) % 1.34/1.51 (define @t260 () (tptp.c_member @t89 @t181 @t87)) % 1.34/1.51 (define @t261 () (@list @t64 @t87 @t30 @t28)) % 1.34/1.51 (define @t262 () (tptp.c_Transitive__Closure_Otrancl @t28 @t87)) % 1.34/1.51 (define @t263 () (tptp.c_member @t89 @t154 @t262)) % 1.34/1.51 (define @t264 () (tptp.c_Relation_OId @t28)) % 1.34/1.51 (define @t265 () (@list @t64 @t28)) % 1.34/1.51 (define @t266 () (tptp.c_member @t89 @t182 @t262)) % 1.34/1.51 (define @t267 () (tptp.c_Transitive__Closure_Otrancl @t28 @t49)) % 1.34/1.51 (define @t268 () (@list @t49 @t28)) % 1.34/1.51 (define @t269 () (tptp.c_Relation_ODomain @t28 @t28 @t87)) % 1.34/1.51 (define @t270 () (tptp.c_Relation_ORange @t28 @t28 @t87)) % 1.34/1.51 (define @t271 () (@list @t28)) % 1.34/1.51 (define @t272 () (tptp.c_member @t89 @t185 @t262)) % 1.34/1.51 (define @t273 () (=> (tptp.c_member @t89 @t187 @t262) @t272)) % 1.34/1.51 (define @t274 () (=> @t191 @t272)) % 1.34/1.51 (define @t275 () (@list @t62 @t64 @t28)) % 1.34/1.51 (define @t276 () (tptp.c_member @t89 @t195 @t267)) % 1.34/1.51 (define @t277 () (@list @t49 @t37 @t38 @t28)) % 1.34/1.51 (define @t278 () (=> @t188 @t272)) % 1.34/1.51 (define @t279 () (tptp.c_member @t89 @t204 @t262)) % 1.34/1.51 (define @t280 () (tptp.c_Product__Type_OPair @t28 @t28 @t137 @t37)) % 1.34/1.51 (define @t281 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t137)) % 1.34/1.51 (define @t282 () (forall @t6 (not (tptp.c_member @t89 @t88 @t262)))) % 1.34/1.51 (define @t283 () (tptp.c_Wellfounded_Oacyclic @t28 @t87)) % 1.34/1.51 (define @t284 () (@var "B_c" $$unsorted)) % 1.34/1.51 (define @t285 () (not @t206)) % 1.34/1.51 (define @t286 () (tptp.c_Product__Type_OPair @t28 @t28 @t37 @t38)) % 1.34/1.51 (define @t287 () (tptp.c_Set_Oinsert @t89 @t286 @t87)) % 1.34/1.51 (define @t288 () (@list @t87 @t38 @t37 @t28)) % 1.34/1.51 (define @t289 () (tptp.tc_fun @t89 tptp.tc_HOL_Obool)) % 1.34/1.51 (define @t290 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t87 @t264)) % 1.34/1.51 (define @t291 () (tptp.c_member @t89 @t179 @t87)) % 1.34/1.51 (define @t292 () (tptp.c_Relation_Oantisym @t28 @t87)) % 1.34/1.51 (define @t293 () (@list @t62 @t64 @t87 @t28)) % 1.34/1.51 (define @t294 () (= @t3 @t161)) % 1.34/1.51 (define @t295 () (tptp.c_Product__Type_OPair @t28 @t28 @t161 @t3)) % 1.34/1.51 (define @t296 () (tptp.c_member @t89 @t295 @t87)) % 1.34/1.51 (define @t297 () (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t161)) % 1.34/1.51 (define @t298 () (forall @t235 (=> (tptp.c_member @t89 @t297 @t87) (=> @t296 @t294)))) % 1.34/1.51 (define @t299 () (tptp.hAPP @t26 @t38)) % 1.34/1.51 (define @t300 () (tptp.hBOOL @t299)) % 1.34/1.51 (define @t301 () (tptp.tc_fun @t28 tptp.tc_HOL_Obool)) % 1.34/1.51 (define @t302 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t26)) % 1.34/1.51 (define @t303 () (tptp.hBOOL (tptp.hAPP @t302 @t38))) % 1.34/1.51 (define @t304 () (@list @t38 @t26 @t30 @t28)) % 1.34/1.51 (define @t305 () (not @t300)) % 1.34/1.51 (define @t306 () (tptp.c_member @t28 @t64 (tptp.c_Set_Oinsert @t28 @t62 @t30))) % 1.34/1.51 (define @t307 () (@list @t30 @t62 @t64 @t28)) % 1.34/1.51 (define @t308 () (tptp.c_Set_Oinsert @t28 @t62 @t26)) % 1.34/1.51 (define @t309 () (tptp.c_member @t28 @t64 @t308)) % 1.34/1.51 (define @t310 () (tptp.c_member @t28 @t64 @t26)) % 1.34/1.51 (define @t311 () (@list @t62 @t26 @t64 @t28)) % 1.34/1.51 (define @t312 () (tptp.c_member @t28 @t27 @t302)) % 1.34/1.51 (define @t313 () (@list @t26 @t30 @t27 @t28)) % 1.34/1.51 (define @t314 () (@list @t30 @t26 @t27 @t28)) % 1.34/1.51 (define @t315 () (tptp.c_Relation_ORange @t50 @t28 @t26)) % 1.34/1.51 (define @t316 () (tptp.c_Relation_ORange @t50 @t28 @t30)) % 1.34/1.51 (define @t317 () (tptp.tc_fun @t253 tptp.tc_HOL_Obool)) % 1.34/1.51 (define @t318 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t26 @t30)) % 1.34/1.51 (define @t319 () (@list @t26 @t30 @t28)) % 1.34/1.51 (define @t320 () (tptp.c_Set_Oinsert @t28 @t38 @t30)) % 1.34/1.51 (define @t321 () (tptp.c_Set_Oinsert @t28 @t37 @t30)) % 1.34/1.51 (define @t322 () (tptp.c_Set_Oinsert @t28 @t64 @t26)) % 1.34/1.51 (define @t323 () (@var "V_C_2" $$unsorted)) % 1.34/1.51 (define @t324 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t323)) % 1.34/1.51 (define @t325 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t26 @t323)) % 1.34/1.51 (define @t326 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t325)) % 1.34/1.51 (define @t327 () (@list @t323 @t26 @t30 @t28)) % 1.34/1.51 (define @t328 () (tptp.hBOOL (tptp.hAPP @t53 @t3))) % 1.34/1.51 (define @t329 () (tptp.c_member @t28 @t3 @t26)) % 1.34/1.51 (define @t330 () (tptp.c_member @t28 @t3 @t302)) % 1.34/1.51 (define @t331 () (@list @t53 @t26 @t30 @t28)) % 1.34/1.51 (define @t332 () (tptp.c_Relation_ODomain @t28 @t50 @t26)) % 1.34/1.51 (define @t333 () (tptp.c_Relation_ODomain @t28 @t50 @t30)) % 1.34/1.51 (define @t334 () (tptp.tc_fun @t52 tptp.tc_HOL_Obool)) % 1.34/1.51 (define @t335 () (@list @t26 @t30 @t50 @t28)) % 1.34/1.51 (define @t336 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t87 @t135)) % 1.34/1.51 (define @t337 () (tptp.c_Relation_Orefl__on @t28 @t26 @t135)) % 1.34/1.51 (define @t338 () (@list @t135 @t26 @t87 @t30 @t28)) % 1.34/1.51 (define @t339 () (tptp.c_Product__Type_OPair @t50 @t28 @t64 @t62)) % 1.34/1.51 (define @t340 () (tptp.c_Set_Oinsert @t28 @t38 @t26)) % 1.34/1.51 (define @t341 () (not @t110)) % 1.34/1.51 (define @t342 () (@list @t26 @t30 @t38 @t28)) % 1.34/1.51 (define @t343 () (tptp.c_Set_Oinsert @t28 @t64 @t30)) % 1.34/1.51 (define @t344 () (@list @t30 @t64 @t28)) % 1.34/1.51 (define @t345 () (@var "V_S_2" $$unsorted)) % 1.34/1.51 (define @t346 () (tptp.c_Transitive__Closure_Ortrancl @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t49 @t345))) % 1.34/1.51 (define @t347 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t345)) % 1.34/1.51 (define @t348 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t194 @t347)) % 1.34/1.51 (define @t349 () (@list @t345 @t49 @t28)) % 1.34/1.51 (define @t350 () (tptp.hAPP @t1 @t38)) % 1.34/1.51 (define @t351 () (tptp.tc_fun @t50 @t28)) % 1.34/1.51 (define @t352 () (tptp.class_Lattices_Olattice @t28)) % 1.34/1.51 (define @t353 () (@list @t38 @t1 @t2 @t50 @t28)) % 1.34/1.51 (define @t354 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t53)) % 1.34/1.51 (define @t355 () (tptp.c_member @t89 @t154 @t354)) % 1.34/1.51 (define @t356 () (@var "V_Q_2" $$unsorted)) % 1.34/1.51 (define @t357 () (tptp.c_member @t89 @t154 (tptp.c_Transitive__Closure_Ortrancl @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t53 @t356)))) % 1.34/1.51 (define @t358 () (@list @t356 @t53 @t62 @t64 @t28)) % 1.34/1.51 (define @t359 () (tptp.c_Wellfounded_Owf @t28 @t87)) % 1.34/1.51 (define @t360 () (tptp.c_Relation_OField @t28 @t87)) % 1.34/1.51 (define @t361 () (@var "V_rb_2" $$unsorted)) % 1.34/1.51 (define @t362 () (@var "V_ra_2" $$unsorted)) % 1.34/1.51 (define @t363 () (@list @t38 @t87 @t28)) % 1.34/1.51 (define @t364 () (tptp.c_Relation_OField @t28 @t135)) % 1.34/1.51 (define @t365 () (@list @t135 @t87 @t28)) % 1.34/1.51 (define @t366 () (tptp.class_Lattices_Osemilattice__sup @t28)) % 1.34/1.51 (define @t367 () (@list @t105 @t28)) % 1.34/1.51 (define @t368 () (@var "V_x" $$unsorted)) % 1.34/1.51 (define @t369 () (@list @t368 @t28)) % 1.34/1.51 (define @t370 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t105 @t103)) % 1.34/1.51 (define @t371 () (@list @t103 @t105 @t28)) % 1.34/1.51 (define @t372 () (@var "V_y" $$unsorted)) % 1.34/1.51 (define @t373 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t372 @t368)) % 1.34/1.51 (define @t374 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t372)) % 1.34/1.51 (define @t375 () (= @t374 @t373)) % 1.34/1.51 (define @t376 () (@list @t372 @t368 @t28)) % 1.34/1.51 (define @t377 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t374) @t374)) % 1.34/1.51 (define @t378 () (@var "V_c" $$unsorted)) % 1.34/1.51 (define @t379 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t105 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t103 @t378))) % 1.34/1.51 (define @t380 () (@list @t378 @t105 @t103 @t28)) % 1.34/1.51 (define @t381 () (@var "V_z" $$unsorted)) % 1.34/1.51 (define @t382 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t381)) % 1.34/1.51 (define @t383 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t372 @t381)) % 1.34/1.51 (define @t384 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t383)) % 1.34/1.51 (define @t385 () (= @t384 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t372 @t382))) % 1.34/1.51 (define @t386 () (@list @t381 @t372 @t368 @t28)) % 1.34/1.51 (define @t387 () (@list @t378 @t103 @t105 @t28)) % 1.34/1.51 (define @t388 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t374 @t381) @t384)) % 1.34/1.51 (define @t389 () (@var "V_H_2" $$unsorted)) % 1.34/1.51 (define @t390 () (tptp.hAPP @t2 @t64)) % 1.34/1.51 (define @t391 () (tptp.c_Recdef_Owfrec @t28 @t50 @t87 @t389)) % 1.34/1.51 (define @t392 () (@var "B_M" $$unsorted)) % 1.34/1.51 (define @t393 () (tptp.c_Recdef_Owfrec @t28 @t50 @t159 @t392)) % 1.34/1.51 (define @t394 () (tptp.c_Orderings_Obot__class_Obot @t301)) % 1.34/1.51 (define @t395 () (tptp.c_Set_Oinsert @t28 @t62 @t394)) % 1.34/1.51 (define @t396 () (tptp.c_Set_Oinsert @t28 @t64 @t395)) % 1.34/1.51 (define @t397 () (tptp.c_Orderings_Obot__class_Obot @t289)) % 1.34/1.51 (define @t398 () (tptp.c_Orderings_Obot__class_Obot @t317)) % 1.34/1.51 (define @t399 () (@list @t87 @t28 @t50)) % 1.34/1.51 (define @t400 () (tptp.c_Orderings_Obot__class_Obot @t334)) % 1.34/1.51 (define @t401 () (= @t30 @t394)) % 1.34/1.51 (define @t402 () (not @t249)) % 1.34/1.51 (define @t403 () (not @t106)) % 1.34/1.51 (define @t404 () (@var "V_d_2" $$unsorted)) % 1.34/1.51 (define @t405 () (tptp.c_Set_Oinsert @t28 @t64 @t394)) % 1.34/1.51 (define @t406 () (@list @t26 @t28)) % 1.34/1.51 (define @t407 () (tptp.c_Orderings_Obot__class_Obot @t28)) % 1.34/1.51 (define @t408 () (tptp.class_Lattices_Obounded__lattice__bot @t28)) % 1.34/1.51 (define @t409 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t38 @t37)) % 1.34/1.51 (define @t410 () (= @t62 @t64)) % 1.34/1.51 (define @t411 () (tptp.c_member @t28 @t62 @t405)) % 1.34/1.51 (define @t412 () (@list @t64 @t62 @t28)) % 1.34/1.51 (define @t413 () (tptp.c_Set_Oinsert @t28 @t38 @t394)) % 1.34/1.51 (define @t414 () (tptp.class_Orderings_Obot @t28)) % 1.34/1.51 (define @t415 () (@var "B_Q" $$unsorted)) % 1.34/1.51 (define @t416 () (tptp.c_member @t28 @t3 @t415)) % 1.34/1.51 (define @t417 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t26)) % 1.34/1.51 (define @t418 () (tptp.hBOOL (tptp.hAPP @t417 @t38))) % 1.34/1.51 (define @t419 () (tptp.c_member @t28 @t27 @t417)) % 1.34/1.51 (define @t420 () (tptp.c_member @t28 @t126 @t26)) % 1.34/1.51 (define @t421 () (tptp.c_Set_Oinsert @t28 @t64 @t417)) % 1.34/1.51 (define @t422 () (@list @t26 @t30 @t64 @t28)) % 1.34/1.51 (define @t423 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t323)) % 1.34/1.51 (define @t424 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t325)) % 1.34/1.51 (define @t425 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t26 @t323)) % 1.34/1.51 (define @t426 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t323 @t30)) % 1.34/1.51 (define @t427 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t26 @t30)) % 1.34/1.51 (define @t428 () (@list @t30 @t323 @t26 @t28)) % 1.34/1.51 (define @t429 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t323 @t30)) % 1.34/1.51 (define @t430 () (@var "V_r_H_2" $$unsorted)) % 1.34/1.51 (define @t431 () (@list @t430 @t87 @t28)) % 1.34/1.51 (define @t432 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t425)) % 1.34/1.51 (define @t433 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t372 @t381)) % 1.34/1.51 (define @t434 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t433)) % 1.34/1.51 (define @t435 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t372)) % 1.34/1.51 (define @t436 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t435 @t381) @t434)) % 1.34/1.51 (define @t437 () (tptp.class_Lattices_Osemilattice__inf @t28)) % 1.34/1.51 (define @t438 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t105 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t103 @t378))) % 1.34/1.51 (define @t439 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t105 @t103)) % 1.34/1.51 (define @t440 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t381)) % 1.34/1.51 (define @t441 () (= @t434 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t372 @t440))) % 1.34/1.51 (define @t442 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t435) @t435)) % 1.34/1.51 (define @t443 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t372 @t368)) % 1.34/1.51 (define @t444 () (= @t435 @t443)) % 1.34/1.51 (define @t445 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t435 @t440)) % 1.34/1.51 (define @t446 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t383)) % 1.34/1.51 (define @t447 () (tptp.class_Lattices_Odistrib__lattice @t28)) % 1.34/1.51 (define @t448 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t374 @t382)) % 1.34/1.51 (define @t449 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t433)) % 1.34/1.51 (define @t450 () (@list @t368 @t381 @t372 @t28)) % 1.34/1.51 (define @t451 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t322)) % 1.34/1.51 (define @t452 () (=> @t403 (= @t451 @t417))) % 1.34/1.51 (define @t453 () (=> @t106 (= @t451 @t421))) % 1.34/1.51 (define @t454 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t322 @t323)) % 1.34/1.51 (define @t455 () (tptp.c_member @t28 @t64 @t323)) % 1.34/1.51 (define @t456 () (=> (not @t455) (= @t454 @t425))) % 1.34/1.51 (define @t457 () (=> @t455 (= @t454 (tptp.c_Set_Oinsert @t28 @t64 @t425)))) % 1.34/1.51 (define @t458 () (@list @t26 @t323 @t64 @t28)) % 1.34/1.51 (define @t459 () (tptp.c_Relation_Oconverse @t28 @t28 @t87)) % 1.34/1.51 (define @t460 () (tptp.tc_fun @t50 tptp.tc_HOL_Obool)) % 1.34/1.51 (define @t461 () (tptp.c_Orderings_Obot__class_Obot @t460)) % 1.34/1.51 (define @t462 () (tptp.c_Wellfounded_Owf @t28 @t49)) % 1.34/1.51 (define @t463 () (tptp.c_Relation_OImage @t28 @t28 @t87 @t395)) % 1.34/1.51 (define @t464 () (tptp.c_Relation_OImage @t28 @t28 @t87 @t405)) % 1.34/1.51 (define @t465 () (= @t464 @t463)) % 1.34/1.51 (define @t466 () (tptp.c_member @t28 @t62 @t360)) % 1.34/1.51 (define @t467 () (tptp.c_member @t28 @t64 @t360)) % 1.34/1.51 (define @t468 () (=> @t467 (=> @t466 (= @t465 @t82)))) % 1.34/1.51 (define @t469 () (tptp.c_Relation_OImage @t50 @t28 @t49 @t26)) % 1.34/1.51 (define @t470 () (tptp.c_Relation_OImage @t50 @t28 @t49 @t30)) % 1.34/1.51 (define @t471 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t470 @t469)) % 1.34/1.51 (define @t472 () (tptp.c_Relation_OImage @t50 @t28 @t49 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t460 @t30 @t26))) % 1.34/1.51 (define @t473 () (@list @t26 @t30 @t49 @t50 @t28)) % 1.34/1.51 (define @t474 () (tptp.c_Relation_Oconverse @t50 @t28 @t135)) % 1.34/1.51 (define @t475 () (tptp.c_Relation_Oconverse @t50 @t28 @t87)) % 1.34/1.51 (define @t476 () (@list @t135 @t87 @t28 @t50)) % 1.34/1.51 (define @t477 () (tptp.c_Relation_Oconverse @t28 @t50 @t87)) % 1.34/1.51 (define @t478 () (tptp.c_Relation_Oconverse @t28 @t28 @t262)) % 1.34/1.51 (define @t479 () (tptp.c_Transitive__Closure_Otrancl @t28 @t459)) % 1.34/1.51 (define @t480 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t459)) % 1.34/1.51 (define @t481 () (tptp.c_Product__Type_OPair @t50 @t28 @t62 @t64)) % 1.34/1.51 (define @t482 () (tptp.c_member @t253 @t481 @t87)) % 1.34/1.51 (define @t483 () (tptp.c_member @t52 @t101 @t475)) % 1.34/1.51 (define @t484 () (tptp.c_Relation_ODomain @t28 @t50 @t475)) % 1.34/1.51 (define @t485 () (tptp.c_member @t50 @t3 @t30)) % 1.34/1.51 (define @t486 () (tptp.c_member @t28 @t62 (tptp.c_Relation_OImage @t50 @t28 @t87 @t30))) % 1.34/1.51 (define @t487 () (@list @t30 @t87 @t50 @t62 @t28)) % 1.34/1.51 (define @t488 () (tptp.c_Relation_OImage @t28 @t50 @t87 @t30)) % 1.34/1.51 (define @t489 () (tptp.c_member @t89 @t195 @t480)) % 1.34/1.51 (define @t490 () (tptp.c_member @t89 @t286 @t178)) % 1.34/1.51 (define @t491 () (@list @t87 @t37 @t38 @t28)) % 1.34/1.51 (define @t492 () (tptp.c_member @t89 @t195 @t479)) % 1.34/1.51 (define @t493 () (tptp.c_member @t89 @t195 @t478)) % 1.34/1.51 (define @t494 () (tptp.c_Order__Relation_Opartial__order__on @t28 @t30 @t87)) % 1.34/1.51 (define @t495 () (tptp.c_Order__Relation_Olinear__order__on @t28 @t30 @t87)) % 1.34/1.51 (define @t496 () (tptp.c_Order__Relation_Opreorder__on @t28 @t30 @t87)) % 1.34/1.51 (define @t497 () (tptp.c_Equiv__Relations_Oequiv @t28 @t30 @t87)) % 1.34/1.51 (define @t498 () (@list @t62 @t64 @t87 @t30 @t28)) % 1.34/1.51 (define @t499 () (tptp.c_Set_Oinsert @t28 @t37 @t394)) % 1.34/1.51 (define @t500 () (tptp.c_Relation_OImage @t28 @t28 @t87 @t413)) % 1.34/1.51 (define @t501 () (= @t500 (tptp.c_Relation_OImage @t28 @t28 @t87 @t499))) % 1.34/1.51 (define @t502 () (=> @t107 @t155)) % 1.34/1.51 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t464 @t463)) % 1.34/1.51 (define @t504 () (tptp.c_Order__Relation_Opreorder__on @t28 @t360 @t87)) % 1.34/1.51 (define @t505 () (tptp.c_Equiv__Relations_Oquotient @t28 @t413 @t87)) % 1.34/1.51 (define @t506 () (tptp.class_Orderings_Opreorder @t28)) % 1.34/1.51 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t26 @t30)) % 1.34/1.51 (define @t508 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t26)) % 1.34/1.51 (define @t509 () (=> @t31 @t29)) % 1.34/1.51 (define @t510 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t301 tptp.tc_HOL_Obool))) % 1.34/1.51 (define @t511 () (tptp.c_Equiv__Relations_Oquotient @t28 @t30 @t87)) % 1.34/1.51 (define @t512 () (@var "V_D_2" $$unsorted)) % 1.34/1.51 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t26 @t512)) % 1.34/1.51 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t323)) % 1.34/1.51 (define @t515 () (@list @t512 @t26 @t323 @t30 @t28)) % 1.34/1.51 (define @t516 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t323 @t30)) % 1.34/1.51 (define @t517 () (@list @t30 @t26 @t28)) % 1.34/1.51 (define @t518 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t103)) % 1.34/1.51 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t105)) % 1.34/1.51 (define @t520 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t439)) % 1.34/1.51 (define @t521 () (@list @t103 @t105 @t368 @t28)) % 1.34/1.51 (define @t522 () (@var "V_d" $$unsorted)) % 1.34/1.51 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t103 @t522)) % 1.34/1.51 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t105 @t378)) % 1.34/1.51 (define @t525 () (@list @t522 @t103 @t378 @t105 @t28)) % 1.34/1.51 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t381)) % 1.34/1.51 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t372)) % 1.34/1.51 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t372 @t368)) % 1.34/1.51 (define @t529 () (@list @t368 @t372 @t28)) % 1.34/1.51 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t439 @t368)) % 1.34/1.51 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t103 @t368)) % 1.34/1.51 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t105 @t368)) % 1.34/1.51 (define @t533 () (@list @t103 @t368 @t105 @t28)) % 1.34/1.51 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t38 @t41)) % 1.34/1.51 (define @t535 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t38 @t37)) % 1.34/1.51 (define @t536 () (@list @t41 @t37 @t38 @t28)) % 1.34/1.51 (define @t537 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t435 @t372)) % 1.34/1.51 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t435 @t368)) % 1.34/1.51 (define @t539 () (@var "V_A_H_2" $$unsorted)) % 1.34/1.51 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t334 @t87 @t135)) % 1.34/1.51 (define @t541 () (@list @t135 @t87 @t50 @t28)) % 1.34/1.51 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t374)) % 1.34/1.51 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t372 @t374)) % 1.34/1.51 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t370)) % 1.34/1.51 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t370 @t368)) % 1.34/1.51 (define @t546 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t381 @t368)) % 1.34/1.51 (define @t547 () (@list @t381 @t368 @t372 @t28)) % 1.34/1.51 (define @t548 () (= @t302 @t26)) % 1.34/1.51 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t26 @t323)) % 1.34/1.51 (define @t550 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t135)) % 1.34/1.51 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t178 @t550)) % 1.34/1.51 (define @t552 () (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t87 @t135)) % 1.34/1.51 (define @t553 () (@list @t182 @t87 @t28)) % 1.34/1.51 (define @t554 () (@list @t28 @t26 @t30)) % 1.34/1.51 (define @t555 () (tptp.hAPP @t356 @t38)) % 1.34/1.51 (define @t556 () (tptp.hBOOL @t555)) % 1.34/1.51 (define @t557 () (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t53 @t356)) % 1.34/1.51 (define @t558 () (@var "V_R1_2" $$unsorted)) % 1.34/1.51 (define @t559 () (@var "V_R2_2" $$unsorted)) % 1.34/1.51 (define @t560 () (tptp.class_Orderings_Olinorder @t28)) % 1.34/1.51 (define @t561 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t28 @t50) @t2 @t1)) % 1.34/1.51 (define @t562 () (tptp.class_Orderings_Oord @t50)) % 1.34/1.51 (define @t563 () (tptp.class_Orderings_Oorder @t28)) % 1.34/1.51 (define @t564 () (= @t368 @t372)) % 1.34/1.51 (define @t565 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t378 @t105)) % 1.34/1.51 (define @t566 () (= @t103 @t378)) % 1.34/1.51 (define @t567 () (tptp.class_Orderings_Oord @t28)) % 1.34/1.51 (define @t568 () (= @t105 @t103)) % 1.34/1.51 (define @t569 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t37 @t38)) % 1.34/1.51 (define @t570 () (@var "V_X_2" $$unsorted)) % 1.34/1.51 (define @t571 () (@var "V_Y_2" $$unsorted)) % 1.34/1.51 (define @t572 () (= @t570 @t571)) % 1.34/1.51 (define @t573 () (tptp.c_member @t301 @t571 @t511)) % 1.34/1.51 (define @t574 () (tptp.c_member @t301 @t570 @t511)) % 1.34/1.51 (define @t575 () (tptp.c_member @t28 @t37 @t571)) % 1.34/1.51 (define @t576 () (tptp.c_member @t28 @t38 @t570)) % 1.34/1.51 (define @t577 () (@list @t37 @t38 @t571 @t570 @t87 @t30 @t28)) % 1.34/1.51 (define @t578 () (tptp.c_Wellfounded_Omlex__prod @t28 @t2 @t49)) % 1.34/1.51 (define @t579 () (tptp.hBOOL (tptp.hAPP @t555 @t37))) % 1.34/1.51 (define @t580 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t28 @t460) @t53 @t356)) % 1.34/1.51 (define @t581 () (tptp.hBOOL (tptp.hAPP @t58 @t37))) % 1.34/1.51 (define @t582 () (@var "V_r2_2" $$unsorted)) % 1.34/1.51 (define @t583 () (@var "V_r1_2" $$unsorted)) % 1.34/1.51 (define @t584 () (tptp.c_Groups_Ominus__class_Ominus @t301 @t30 @t26)) % 1.34/1.51 (define @t585 () (tptp.c_member @t28 @t27 @t584)) % 1.34/1.51 (define @t586 () (tptp.c_Groups_Ominus__class_Ominus @t301 @t26 @t30)) % 1.34/1.51 (define @t587 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t586)) % 1.34/1.51 (define @t588 () (tptp.c_Groups_Ominus__class_Ominus @t301 @t30 @t323)) % 1.34/1.51 (define @t589 () (@var "T_1" $$unsorted)) % 1.34/1.51 (define @t590 () (@var "T_2" $$unsorted)) % 1.34/1.51 (define @t591 () (tptp.tc_fun @t590 @t589)) % 1.34/1.51 (define @t592 () (tptp.class_Lattices_Obounded__lattice @t589)) % 1.34/1.51 (define @t593 () (@list @t590 @t589)) % 1.34/1.51 (define @t594 () (tptp.class_Lattices_Olattice @t589)) % 1.34/1.51 (define @t595 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t38) @t37))) % 1.34/1.51 (define @t596 () (@list @t37 @t38)) % 1.34/1.51 (define @t597 () (not @t70)) % 1.34/1.51 (define @t598 () (not @t72)) % 1.34/1.51 (define @t599 () (not @t74)) % 1.34/1.51 (define @t600 () (= @t27 @t64)) % 1.34/1.51 (define @t601 () (= @t27 @t62)) % 1.34/1.51 (define @t602 () (or @t410 @t601 @t600 @t599 @t598 @t597 @t67)) % 1.34/1.51 (define @t603 () (or @t601 @t600 @t599 @t598 @t597 @t67)) % 1.34/1.51 (define @t604 () (or @t600 @t599 @t598 @t597 @t67)) % 1.34/1.51 (define @t605 () (or @t599 @t598 @t597 @t67)) % 1.34/1.51 (define @t606 () (or @t598 @t597 @t67)) % 1.34/1.51 (define @t607 () (not @t600)) % 1.34/1.51 (define @t608 () (=> @t607 @t75)) % 1.34/1.51 (define @t609 () (not @t601)) % 1.34/1.51 (define @t610 () (=> @t609 @t608)) % 1.34/1.51 (define @t611 () (not @t410)) % 1.34/1.51 (define @t612 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_b_H____)) % 1.34/1.51 (define @t613 () (tptp.c_member @t13 @t612 @t17)) % 1.34/1.51 (define @t614 () (= @t19 @t613)) % 1.34/1.51 (define @t615 () (forall @t16 (= @t15 (tptp.c_member @t13 @t612 @t11)))) % 1.34/1.51 (define @t616 () (not @t615)) % 1.34/1.51 (define @t617 () (not @t25)) % 1.34/1.51 (define @t618 () (not @t24)) % 1.34/1.51 (define @t619 () (= tptp.v_b____ tptp.v_a____)) % 1.34/1.51 (define @t620 () (= tptp.v_b_H____ tptp.v_b____)) % 1.34/1.51 (define @t621 () (or @t619 @t620 (= tptp.v_b_H____ tptp.v_a____) @t618 @t617 @t616 @t614)) % 1.34/1.51 (define @t622 () (forall @t85 @t602)) % 1.34/1.51 (define @t623 () (= tptp.v_b____ tptp.v_b_H____)) % 1.34/1.51 (define @t624 () (or @t619 @t623 @t8 @t618 @t617 @t616 @t614)) % 1.34/1.51 (define @t625 () (@list false)) % 1.34/1.51 (define @t626 () (@quantifiers_skolemize @t615 0)) % 1.34/1.51 (define @t627 () (tptp.hAPP tptp.v_P_H____ @t626)) % 1.34/1.51 (define @t628 () (tptp.c_member @t13 @t12 @t627)) % 1.34/1.51 (define @t629 () (tptp.c_member @t13 @t14 (tptp.hAPP tptp.v_P____ @t626))) % 1.34/1.51 (define @t630 () (= @t629 @t628)) % 1.34/1.51 (define @t631 () (not @t630)) % 1.34/1.51 (define @t632 () (not @t628)) % 1.34/1.51 (define @t633 () (tptp.c_member @t13 @t612 @t627)) % 1.34/1.51 (define @t634 () (= @t629 @t633)) % 1.34/1.51 (define @t635 () (and @t7 @t628)) % 1.34/1.51 (define @t636 () (not @t633)) % 1.34/1.51 (define @t637 () (and @t7 @t632)) % 1.34/1.51 (define @t638 () (not @t634)) % 1.34/1.51 (define @t639 () (not @t614)) % 1.34/1.51 (define @t640 () (not @t19)) % 1.34/1.51 (define @t641 () (not @t613)) % 1.34/1.51 (define @t642 () (not @t18)) % 1.34/1.51 (define @t643 () (and @t7 @t642)) % 1.34/1.51 (define @t644 () (and @t7 @t18)) % 1.34/1.51 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.34/1.51 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 1.34/1.51 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 1.34/1.51 (assume @p4 (not (= tptp.v_a____ tptp.v_b____))) % 1.34/1.51 (assume @p5 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 1.34/1.51 (assume @p6 (and @t9 @t7)) % 1.34/1.51 (assume @p7 (forall @t16 (= @t15 (tptp.c_member @t13 @t12 @t11)))) % 1.34/1.51 (assume @p8 (=> (and @t9 @t21) @t20)) % 1.34/1.51 (assume @p9 (=> (and @t8 @t21) @t20)) % 1.34/1.51 (assume @p10 @t24) % 1.34/1.51 (assume @p11 @t25) % 1.34/1.51 (assume @p12 (forall (@list @t27 @t28 @t26 @t30) (=> @t35 (=> @t34 (not @t32))))) % 1.34/1.51 (assume @p13 (forall @t48 (= (tptp.c_member @t13 @t39 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t36 @t41)) (and @t47 (=> @t42 @t45) (=> @t43 @t40))))) % 1.34/1.51 (assume @p14 (forall @t48 (= (tptp.c_member @t13 @t39 (tptp.c_Arrow__Order__Mirabelle_Omktop @t36 @t41)) (and @t43 (=> @t46 @t45) (=> @t47 @t40))))) % 1.34/1.51 (assume @p15 (forall (@list @t37 @t38 @t49 @t50 @t28) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t28 @t50 @t49) @t38) @t37)) (tptp.c_member @t52 @t51 @t49)))) % 1.34/1.51 (assume @p16 (forall (@list @t28 @t49 @t37 @t55 @t50 @t38 @t53) (=> @t59 (=> (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t50 @t50 @t55 @t37) (tptp.hAPP @t49 @t38)) (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t38 @t55) @t51) @t54))))) % 1.34/1.51 (assume @p17 @t86) % 1.34/1.51 (assume @p18 (forall @t91 (= (tptp.c_Nitpick_Orefl_H @t28 @t87) (forall @t6 @t90)))) % 1.34/1.51 (assume @p19 (forall (@list @t50 @t28 @t53) (= (forall (@list @t96) (tptp.hBOOL (tptp.hAPP @t53 @t96))) (forall @t95 (tptp.hBOOL (tptp.hAPP @t53 @t94)))))) % 1.34/1.51 (assume @p20 (forall (@list @t97 @t98 @t62 @t64 @t50 @t28) (= (= @t101 @t100) (and @t99 (= @t62 @t97))))) % 1.34/1.51 (assume @p21 (forall (@list @t102 @t104 @t103 @t105 @t50 @t28) (=> (= (tptp.c_Product__Type_OPair @t28 @t50 @t105 @t103) (tptp.c_Product__Type_OPair @t28 @t50 @t104 @t102)) (not (=> (= @t105 @t104) (not (= @t103 @t102))))))) % 1.34/1.51 (assume @p22 (forall @t108 (=> @t82 (=> @t107 @t106)))) % 1.34/1.51 (assume @p23 (forall (@list @t30 @t28 @t37 @t38) (=> @t44 (= @t110 @t109)))) % 1.34/1.51 (assume @p24 (forall (@list @t38 @t28 @t26 @t30) (=> @t35 (= @t110 @t111)))) % 1.34/1.51 (assume @p25 (forall @t114 (= @t110 @t113))) % 1.34/1.51 (assume @p26 (forall (@list @t60 @t53 @t62 @t64) (=> @t83 (=> @t74 (=> @t72 (=> (forall @t16 (= @t69 (tptp.c_member @t13 @t115 @t68))) (= @t66 (tptp.c_member @t13 @t115 @t61)))))))) % 1.34/1.51 (assume @p27 (forall @t122 (=> @t83 (=> @t121 (=> @t120 (=> @t119 (=> @t74 (=> @t72 (=> @t118 (=> @t66 @t117)))))))))) % 1.34/1.51 (assume @p28 (forall @t122 (=> @t83 (=> @t121 (=> @t120 (=> @t119 (=> @t74 (=> @t72 (=> @t118 (= @t66 @t117)))))))))) % 1.34/1.51 (assume @p29 (forall (@list @t62 @t64 @t123 @t28 @t124 @t50) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t50 @t124 @t28 @t123 @t125) (tptp.hAPP (tptp.hAPP @t123 @t64) @t62)))) % 1.34/1.51 (assume @p30 (forall @t134 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t127) (forall @t6 (=> @t133 (forall @t132 (=> (tptp.c_member @t23 @t126 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t95 (=> (forall @t16 (= @t131 (tptp.c_member @t13 @t128 (tptp.hAPP @t126 @t10)))) (= @t130 (tptp.c_member @t13 @t128 (tptp.hAPP @t127 @t126)))))))))))) % 1.34/1.51 (assume @p31 (forall @t134 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t127) (forall @t6 (=> @t133 (forall @t95 (=> (forall @t16 @t131) @t130))))))) % 1.34/1.51 (assume @p32 (forall (@list @t135 @t87 @t97 @t98 @t62 @t64 @t50 @t28) (= (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t101 @t100) (tptp.c_Wellfounded_Olex__prod @t28 @t50 @t87 @t135)) (or (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t98) @t87) (and @t99 (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t50 @t50 @t62 @t97) @t135)))))) % 1.34/1.51 (assume @p33 (forall (@list @t136 @t127) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t127 @t136) (forall @t6 (=> @t133 (= @t129 (tptp.hAPP @t3 @t136))))))) % 1.34/1.51 (assume @p34 (forall (@list @t62 @t64 @t27 @t28 @t124 @t50) (= (tptp.c_Product__Type_Ointernal__split @t50 @t124 @t28 @t27 @t125) (tptp.hAPP (tptp.hAPP @t27 @t64) @t62)))) % 1.34/1.51 (assume @p35 (forall @t146 (= (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t127 @t139 @t144) (exists @t145 (and (= @t144 @t142) @t141))))) % 1.34/1.51 (assume @p36 (forall (@list @t62 @t64 @t50 @t28 @t2) (=> @t148 @t147))) % 1.34/1.51 (assume @p37 (forall (@list @t62 @t64 @t2 @t50 @t28) (=> @t147 @t148))) % 1.34/1.51 (assume @p38 (forall (@list @t62 @t64 @t2 @t28 @t124 @t50) (= (tptp.c_Product__Type_Ocurry @t50 @t124 @t28 @t2 @t64 @t62) (tptp.hAPP @t2 @t125)))) % 1.34/1.51 (assume @p39 (forall @t146 (= (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t127 @t139 @t143) (exists @t145 (and (= @t143 @t142) @t141))))) % 1.34/1.51 (assume @p40 (forall (@list @t1 @t127 @t50 @t49 @t38 @t28) (=> (forall @t140 (=> @t149 (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t127 @t137 (tptp.hAPP @t1 @t137)))) (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t127 @t38 (tptp.hAPP (tptp.hAPP @t127 @t1) @t38))))) % 1.34/1.51 (assume @p41 (forall @t153 (= @t152 (forall @t6 (=> (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t64) @t87) @t151))))) % 1.34/1.51 (assume @p42 (forall (@list @t64 @t87 @t62 @t28) (=> @t156 (=> @t155 @t152)))) % 1.34/1.51 (assume @p43 (forall (@list @t37 @t38 @t36) (=> @t157 (=> @t45 (= (not @t40) (tptp.c_member @t13 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t37 @t38) @t36)))))) % 1.34/1.51 (assume @p44 (forall (@list @t62 @t64 @t36) (=> @t157 (=> (tptp.c_member @t13 @t65 @t36) (not (tptp.c_member @t13 @t115 @t36)))))) % 1.34/1.51 (assume @p45 (forall (@list @t50 @t64 @t38 @t28 @t158 @t159) (=> (tptp.c_member @t89 @t160 @t159) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t28 @t50 @t158 @t159 @t64) @t38) (tptp.hAPP @t158 @t38))))) % 1.34/1.51 (assume @p46 (forall (@list @t1 @t38 @t87 @t2 @t50 @t28) (= (= (tptp.c_Recdef_Ocut @t28 @t50 @t2 @t87 @t38) (tptp.c_Recdef_Ocut @t28 @t50 @t1 @t87 @t38)) (forall @t163 (=> @t162 (= (tptp.hAPP @t2 @t161) (tptp.hAPP @t1 @t161))))))) % 1.34/1.51 (assume @p47 (forall (@list @t2 @t50 @t87 @t64 @t38 @t28) (=> @t166 (= (tptp.hAPP @t165 @t38) @t164)))) % 1.34/1.51 (assume @p48 (forall @t167 (= (tptp.c_member @t28 @t38 (tptp.c_fequal @t37)) @t44))) % 1.34/1.51 (assume @p49 (forall @t168 (=> @t157 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t36 @t38) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 1.34/1.51 (assume @p50 (forall @t168 (=> @t157 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Omktop @t36 @t38) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 1.34/1.51 (assume @p51 (forall @t172 (=> @t83 (=> @t157 (= (tptp.c_member @t13 @t39 (tptp.c_Arrow__Order__Mirabelle_Obelow @t36 @t64 @t62)) (and @t45 (=> @t171 (tptp.c_member @t13 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t62) @t36)) (=> (not @t171) (and (=> @t169 (or @t170 (tptp.c_member @t13 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t37) @t36))) (=> (not @t169) @t40))))))))) % 1.34/1.51 (assume @p52 (forall @t172 (=> @t83 (=> @t157 (= (tptp.c_member @t13 @t39 (tptp.c_Arrow__Order__Mirabelle_Oabove @t36 @t64 @t62)) (and @t45 (=> @t173 (tptp.c_member @t13 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t64 @t37) @t36)) (=> (not @t173) (and (=> @t170 (or @t169 (tptp.c_member @t13 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t64) @t36))) (=> (not @t170) @t40))))))))) % 1.34/1.51 (assume @p53 (forall @t174 (=> @t45 (=> @t157 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Obelow @t36 @t38 @t37) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.34/1.51 (assume @p54 (forall @t174 (=> @t45 (=> @t157 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Oabove @t36 @t38 @t37) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.34/1.51 (assume @p55 (forall (@list @t49 @t38 @t28) (=> (not (tptp.c_member @t28 @t38 @t175)) (not (forall @t140 (=> @t149 (tptp.c_member @t28 @t137 @t175))))))) % 1.34/1.51 (assume @p56 (forall @t177 (=> (forall @t163 (=> @t162 (tptp.c_member @t28 @t161 @t150))) @t176))) % 1.34/1.51 (assume @p57 (forall (@list @t62 @t64) (=> @t83 (exists @t6 (and (tptp.c_member @t22 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t13 @t65 @t3)))))) % 1.34/1.51 (assume @p58 (forall (@list @t87 @t64 @t62 @t28) (=> @t180 (=> @t152 @t156)))) % 1.34/1.51 (assume @p59 (forall (@list @t62 @t87 @t64 @t28) (=> @t152 (=> @t180 @t156)))) % 1.34/1.51 (assume @p60 (forall @t153 (tptp.c_member @t89 @t181 @t178))) % 1.34/1.51 (assume @p61 (forall @t184 (=> @t183 (tptp.c_member @t89 @t182 @t178)))) % 1.34/1.51 (assume @p62 (forall @t190 (=> @t155 @t189))) % 1.34/1.51 (assume @p63 (forall @t190 (=> @t192 (=> @t191 @t186)))) % 1.34/1.51 (assume @p64 (forall @t190 (=> @t192 @t189))) % 1.34/1.51 (assume @p65 (forall @t91 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t178) @t178))) % 1.34/1.51 (assume @p66 (forall (@list @t38 @t127 @t49 @t28 @t50) (= (tptp.c_Nitpick_Owf__wfrec_H @t50 @t28 @t49 @t127 @t38) (tptp.hAPP (tptp.hAPP @t127 (tptp.c_Recdef_Ocut @t50 @t28 (tptp.c_Nitpick_Owf__wfrec @t50 @t28 @t49 @t127) @t49 @t38)) @t38)))) % 1.34/1.51 (assume @p67 (exists (@list @t193) (tptp.c_member @t22 @t193 tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.34/1.51 (assume @p68 (forall (@list @t37 @t49 @t38 @t28) (=> (not (tptp.c_member @t28 @t38 (tptp.c_Relation_ODomain @t28 @t28 @t49))) (= @t196 @t44)))) % 1.34/1.51 (assume @p69 (forall @t200 (=> @t199 @t198))) % 1.34/1.51 (assume @p70 (forall @t202 (= @t198 (exists @t163 @t201)))) % 1.34/1.51 (assume @p71 (forall (@list @t41 @t37 @t38 @t87 @t28) (=> (tptp.c_Relation_Osingle__valued @t28 @t28 @t87) (=> @t206 (=> @t205 (or (tptp.c_member @t89 @t203 @t178) (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t41 @t37) @t178))))))) % 1.34/1.51 (assume @p72 (forall @t223 (=> @t222 (=> @t220 (=> (forall @t95 (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t219 @t94) @t216) (forall (@list @t211 @t210) (=> @t215 (=> @t213 @t212))))) @t209))))) % 1.34/1.51 (assume @p73 (forall @t223 (=> @t222 (=> @t209 (=> (forall (@list @t93 @t92 @t211 @t210) (=> @t215 (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t214 @t221) @t216) (=> @t212 @t213)))) @t220))))) % 1.34/1.51 (assume @p74 (forall (@list @t87 @t224 @t225 @t227 @t228 @t50 @t28) (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t229 @t226) @t216) (=> (not (= @t229 @t226)) (not (forall @t95 (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t229 @t94) @t87) (not (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t94 @t226) @t216))))))))) % 1.34/1.51 (assume @p75 (forall @t202 (=> @t198 (not (forall @t163 (not @t201)))))) % 1.34/1.51 (assume @p76 (forall @t231 (=> @t192 (=> @t83 (not (forall @t163 (=> @t230 (not (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t161 @t62) @t87))))))))) % 1.34/1.51 (assume @p77 (forall @t234 (=> @t205 (=> @t43 (not (forall @t163 (=> @t233 (not (tptp.c_member @t89 @t232 @t178))))))))) % 1.34/1.51 (assume @p78 (forall @t238 (= @t237 @t236))) % 1.34/1.51 (assume @p79 (forall (@list @t41 @t37 @t38 @t87 @t50 @t28) (=> @t237 (=> (tptp.c_member @t52 @t51 @t87) (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t38 @t41) @t87) @t46))))) % 1.34/1.51 (assume @p80 (forall @t91 (= (tptp.c_Relation_Oirrefl @t28 @t87) (forall @t6 (not @t90))))) % 1.34/1.51 (assume @p81 (forall @t200 (=> @t199 (tptp.c_member @t50 @t62 (tptp.c_Relation_ORange @t28 @t50 @t87))))) % 1.34/1.51 (assume @p82 (forall @t240 (= (tptp.c_member @t89 @t195 @t239) (and @t44 @t110)))) % 1.34/1.51 (assume @p83 (forall @t108 (=> @t82 (=> @t106 (tptp.c_member @t89 @t154 @t239))))) % 1.34/1.51 (assume @p84 (forall @t238 (=> @t236 @t237))) % 1.34/1.51 (assume @p85 (forall @t246 (=> @t192 (=> @t245 (=> (forall @t163 (=> @t230 (forall @t140 (=> @t244 (=> @t243 @t242))))) @t241))))) % 1.34/1.51 (assume @p86 (forall @t246 (=> @t192 (=> @t241 (=> (forall (@list @t161 @t137) (=> @t244 (=> (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t137 @t62) @t178) (=> @t242 @t243)))) @t245))))) % 1.34/1.51 (assume @p87 (forall @t251 (= @t250 (forall @t6 (=> @t249 (forall @t132 (=> (tptp.c_member @t28 @t126 @t30) (=> @t248 (or (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t126) @t87) @t247))))))))) % 1.34/1.51 (assume @p88 (forall @t252 (= (tptp.c_Relation_ORange @t28 @t28 @t239) @t30))) % 1.34/1.51 (assume @p89 (forall @t252 (= (tptp.c_Relation_ODomain @t28 @t28 @t239) @t30))) % 1.34/1.51 (assume @p90 (forall @t252 (tptp.c_Relation_Osingle__valued @t28 @t28 @t239))) % 1.34/1.51 (assume @p91 (forall @t202 (= (tptp.c_member @t28 @t64 @t254) (exists @t163 (tptp.c_member @t253 (tptp.c_Product__Type_OPair @t50 @t28 @t161 @t64) @t87))))) % 1.34/1.51 (assume @p92 (forall (@list @t30 @t27 @t28) (=> (tptp.c_member @t89 @t27 @t239) (not (forall @t6 (=> @t249 (not (= @t27 @t88)))))))) % 1.34/1.51 (assume @p93 (forall (@list @t87 @t50 @t62 @t28) (=> (tptp.c_member @t28 @t62 @t254) (not (forall @t6 (not @t255)))))) % 1.34/1.51 (assume @p94 (forall (@list @t2 @t87 @t50 @t37 @t38 @t28) (= (tptp.c_member @t89 @t195 (tptp.c_Relation_Oinv__image @t50 @t28 @t87 @t2)) (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t50 @t50 @t164 @t256) @t87)))) % 1.34/1.51 (assume @p95 (forall @t259 (=> @t258 (=> @t257 @t109)))) % 1.34/1.51 (assume @p96 (forall @t259 (=> @t258 (=> @t257 @t110)))) % 1.34/1.51 (assume @p97 (forall @t261 (=> @t258 (=> @t106 @t260)))) % 1.34/1.51 (assume @p98 (forall @t231 (=> @t263 @t192))) % 1.34/1.51 (assume @p99 (forall @t265 (tptp.c_member @t89 @t181 @t264))) % 1.34/1.51 (assume @p100 (forall @t231 (=> @t155 @t263))) % 1.34/1.51 (assume @p101 (forall @t184 (=> @t183 @t266))) % 1.34/1.51 (assume @p102 (forall @t268 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t267) @t194))) % 1.34/1.51 (assume @p103 (forall @t268 (= (tptp.c_Transitive__Closure_Otrancl @t28 @t194) @t194))) % 1.34/1.51 (assume @p104 (forall @t91 (= (tptp.c_Relation_ODomain @t28 @t28 @t262) @t269))) % 1.34/1.51 (assume @p105 (forall @t91 (= (tptp.c_Relation_ORange @t28 @t28 @t262) @t270))) % 1.34/1.51 (assume @p106 (forall @t252 (tptp.c_Relation_Orefl__on @t28 @t30 @t239))) % 1.34/1.51 (assume @p107 (forall @t271 (tptp.c_Relation_Osingle__valued @t28 @t28 @t264))) % 1.34/1.51 (assume @p108 (forall (@list @t27 @t49 @t62 @t64 @t28) (=> (tptp.c_member @t89 @t154 @t49) (=> (tptp.c_member @t89 @t187 @t49) (tptp.c_member @t89 @t185 @t267))))) % 1.34/1.51 (assume @p109 (forall @t190 (=> @t155 @t273))) % 1.34/1.51 (assume @p110 (forall @t190 (=> @t263 @t274))) % 1.34/1.51 (assume @p111 (forall @t190 (=> @t263 @t273))) % 1.34/1.51 (assume @p112 (forall @t275 (= (tptp.c_member @t89 @t154 @t264) @t82))) % 1.34/1.51 (assume @p113 (forall @t277 (= @t196 (or @t44 (and @t45 @t276))))) % 1.34/1.51 (assume @p114 (forall @t190 (=> @t155 @t278))) % 1.34/1.51 (assume @p115 (forall (@list @t49 @t62 @t64 @t28) (=> (tptp.c_member @t89 @t154 @t194) (or @t82 (and @t83 (tptp.c_member @t89 @t154 @t267)))))) % 1.34/1.51 (assume @p116 (forall @t190 (=> @t192 @t274))) % 1.34/1.51 (assume @p117 (forall @t190 (=> @t263 @t278))) % 1.34/1.51 (assume @p118 (forall (@list @t41 @t87 @t37 @t38 @t28) (=> @t206 (=> (tptp.c_member @t89 @t203 @t262) @t279)))) % 1.34/1.51 (assume @p119 (forall @t277 (=> @t276 (exists @t140 (and (tptp.c_member @t89 @t281 @t49) (tptp.c_member @t89 @t280 @t194)))))) % 1.34/1.51 (assume @p120 (forall @t277 (=> @t276 (exists @t140 (and (tptp.c_member @t89 @t281 @t194) (tptp.c_member @t89 @t280 @t49)))))) % 1.34/1.51 (assume @p121 (forall (@list @t182 @t28) (=> (tptp.c_member @t89 @t182 @t264) (not (forall @t6 (not (= @t182 @t88))))))) % 1.34/1.51 (assume @p122 (forall @t91 (= @t283 @t282))) % 1.34/1.51 (assume @p123 (forall (@list @t37 @t38 @t87 @t28) (=> @t282 (=> @t257 @t45)))) % 1.34/1.51 (assume @p124 (forall @t234 (=> @t279 (=> (not (tptp.c_member @t89 @t204 @t87)) (not (forall @t163 (=> @t233 (not (tptp.c_member @t89 @t232 @t262))))))))) % 1.34/1.51 (assume @p125 (forall @t231 (=> @t263 (=> (not @t155) (not (forall (@list @t284) (=> (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t284) @t262) (not (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t284 @t62) @t87))))))))) % 1.34/1.51 (assume @p126 (forall @t91 (=> @t282 @t283))) % 1.34/1.51 (assume @p127 (forall @t288 (= (tptp.c_Wellfounded_Oacyclic @t28 @t287) (and @t283 @t285)))) % 1.34/1.51 (assume @p128 (forall @t91 (=> @t283 (tptp.c_Relation_Oantisym @t28 @t178)))) % 1.34/1.51 (assume @p129 (forall @t91 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t262 @t264) @t178))) % 1.34/1.51 (assume @p130 (forall @t91 (= (tptp.c_Transitive__Closure_Otrancl @t28 @t290) @t178))) % 1.34/1.51 (assume @p131 (forall @t293 (=> @t292 (=> @t155 (=> @t291 @t82))))) % 1.34/1.51 (assume @p132 (forall @t91 (= @t292 @t298))) % 1.34/1.51 (assume @p133 (forall @t304 (=> @t303 (=> (not @t113) @t300)))) % 1.34/1.51 (assume @p134 (forall (@list @t28 @t30 @t38 @t26) (=> (=> @t305 @t113) @t303))) % 1.34/1.51 (assume @p135 (forall @t307 (=> @t306 (=> @t83 @t106)))) % 1.34/1.51 (assume @p136 (forall @t311 (=> (=> (not @t310) @t82) @t309))) % 1.34/1.51 (assume @p137 (forall @t313 (=> @t312 @t32))) % 1.34/1.51 (assume @p138 (forall @t314 (=> (=> @t33 @t31) @t312))) % 1.34/1.51 (assume @p139 (forall (@list @t26 @t30 @t28 @t50) (= (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t317 @t30 @t26)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t316 @t315)))) % 1.34/1.51 (assume @p140 (forall (@list @t26 @t28 @t38 @t30) (=> @t113 @t303))) % 1.34/1.51 (assume @p141 (forall (@list @t30 @t28 @t38 @t26) (=> @t300 @t303))) % 1.34/1.51 (assume @p142 (forall @t252 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t30) @t30))) % 1.34/1.51 (assume @p143 (forall @t319 (= @t302 @t318))) % 1.34/1.51 (assume @p144 (forall @t114 (= (tptp.c_Set_Oinsert @t28 @t38 @t320) @t320))) % 1.34/1.51 (assume @p145 (forall @t319 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t302) @t302))) % 1.34/1.51 (assume @p146 (forall @t240 (= (tptp.c_Set_Oinsert @t28 @t38 @t321) (tptp.c_Set_Oinsert @t28 @t37 @t320)))) % 1.34/1.51 (assume @p147 (forall (@list @t26 @t64 @t30 @t28) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t322) (tptp.c_Set_Oinsert @t28 @t64 @t302)))) % 1.34/1.51 (assume @p148 (forall @t327 (= @t326 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t26 @t324)))) % 1.34/1.51 (assume @p149 (forall (@list @t323 @t26 @t64 @t28) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t322 @t323) (tptp.c_Set_Oinsert @t28 @t64 @t325)))) % 1.34/1.51 (assume @p150 (forall @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t302 @t323) @t326))) % 1.34/1.51 (assume @p151 (forall @t331 (= (exists @t6 (and @t330 @t328)) (or (exists @t6 (and @t249 @t328)) (exists @t6 (and @t329 @t328)))))) % 1.34/1.51 (assume @p152 (forall @t331 (= (forall @t6 (=> @t330 @t328)) (and (forall @t6 (=> @t249 @t328)) (forall @t6 (=> @t329 @t328)))))) % 1.34/1.51 (assume @p153 (forall (@list @t38 @t30 @t37 @t28) (= (tptp.hBOOL (tptp.hAPP @t321 @t38)) (or (= @t37 @t38) @t113)))) % 1.34/1.51 (assume @p154 (forall @t335 (= (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t334 @t30 @t26)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t333 @t332)))) % 1.34/1.51 (assume @p155 (forall @t338 (=> @t258 (=> @t337 (tptp.c_Relation_Orefl__on @t28 @t302 @t336))))) % 1.34/1.51 (assume @p156 (forall @t91 (= (tptp.c_Relation_Oantisym @t28 @t290) @t292))) % 1.34/1.51 (assume @p157 (forall @t200 (= (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Set_Oinsert @t52 @t101 @t87)) (tptp.c_Set_Oinsert @t28 @t64 @t197)))) % 1.34/1.51 (assume @p158 (forall (@list @t87 @t62 @t64 @t28 @t50) (= (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Set_Oinsert @t253 @t339 @t87)) (tptp.c_Set_Oinsert @t28 @t62 @t254)))) % 1.34/1.51 (assume @p159 (forall @t313 (= @t312 (or @t31 @t29)))) % 1.34/1.51 (assume @p160 (forall @t313 (=> @t31 @t312))) % 1.34/1.51 (assume @p161 (forall @t314 (=> @t29 @t312))) % 1.34/1.51 (assume @p162 (forall (@list @t26 @t64 @t28) (tptp.c_member @t28 @t64 @t322))) % 1.34/1.51 (assume @p163 (forall @t307 (= @t306 (or @t82 @t106)))) % 1.34/1.51 (assume @p164 (forall @t342 (=> @t341 (=> (not @t111) (= (= @t320 @t340) @t35))))) % 1.34/1.51 (assume @p165 (forall @t311 (=> @t310 @t309))) % 1.34/1.51 (assume @p166 (forall @t344 (=> @t106 (= @t343 @t30)))) % 1.34/1.51 (assume @p167 (forall @t349 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t348) @t346))) % 1.34/1.51 (assume @p168 (forall @t271 (tptp.c_Relation_Oantisym @t28 @t264))) % 1.34/1.51 (assume @p169 (forall (@list @t345 @t49 @t38 @t28) (=> (or (tptp.c_member @t89 @t38 @t194) (tptp.c_member @t89 @t38 @t347)) (tptp.c_member @t89 @t38 @t346)))) % 1.34/1.51 (assume @p170 (forall @t252 (tptp.c_Relation_Oantisym @t28 @t239))) % 1.34/1.51 (assume @p171 (forall @t268 (= (tptp.c_Transitive__Closure_Ortrancl @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t49 @t264)) @t194))) % 1.34/1.51 (assume @p172 (forall @t268 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t289 @t194 @t264) @t194))) % 1.34/1.51 (assume @p173 (forall @t353 (=> @t352 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t351 @t2 @t1) @t38) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t164 @t350))))) % 1.34/1.51 (assume @p174 (forall @t358 (=> @t357 (=> (forall @t6 (=> (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t3) @t354) (forall @t163 (=> (tptp.c_member @t89 @t297 @t356) @t294)))) @t355)))) % 1.34/1.51 (assume @p175 (forall @t358 (=> @t357 (=> (forall @t6 (=> (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t62) @t354) (forall @t163 (=> (tptp.c_member @t89 @t295 @t356) (= @t161 @t3))))) @t355)))) % 1.34/1.51 (assume @p176 (forall @t288 (= (tptp.c_Wellfounded_Owf @t28 @t287) (and @t359 @t285)))) % 1.34/1.51 (assume @p177 (forall @t91 (=> @t298 @t292))) % 1.34/1.51 (assume @p178 (forall @t91 (= @t360 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t269 @t270)))) % 1.34/1.51 (assume @p179 (forall (@list @t2 @t50 @t87 @t28) (=> @t359 (tptp.c_Wellfounded_Owf @t50 (tptp.c_Relation_Oinv__image @t28 @t50 @t87 @t2))))) % 1.34/1.51 (assume @p180 (forall (@list @t361 @t50 @t362 @t28) (=> (tptp.c_Wellfounded_Owf @t28 @t362) (=> (tptp.c_Wellfounded_Owf @t50 @t361) (tptp.c_Wellfounded_Owf @t52 (tptp.c_Wellfounded_Olex__prod @t28 @t50 @t362 @t361)))))) % 1.34/1.51 (assume @p181 (forall @t91 (=> @t359 (tptp.c_Wellfounded_Owf @t28 @t262)))) % 1.34/1.51 (assume @p182 (forall @t91 (=> @t359 @t283))) % 1.34/1.51 (assume @p183 (forall (@list @t64 @t87 @t28) (=> @t359 (not @t260)))) % 1.34/1.51 (assume @p184 (forall (@list @t38 @t64 @t87 @t28) (=> @t359 (=> (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t64 @t38) @t87) (not @t166))))) % 1.34/1.51 (assume @p185 (forall @t363 (=> @t359 @t176))) % 1.34/1.51 (assume @p186 (forall @t91 (= @t359 (forall @t6 @t151)))) % 1.34/1.51 (assume @p187 (forall @t365 (= (tptp.c_Relation_OField @t28 @t336) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t360 @t364)))) % 1.34/1.51 (assume @p188 (forall @t367 (=> @t366 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t105 @t105) @t105)))) % 1.34/1.51 (assume @p189 (forall @t369 (=> @t366 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t368) @t368)))) % 1.34/1.51 (assume @p190 (forall @t371 (=> @t366 (= @t370 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t103 @t105))))) % 1.34/1.51 (assume @p191 (forall @t376 (=> @t352 @t375))) % 1.34/1.51 (assume @p192 (forall @t376 (=> @t366 @t375))) % 1.34/1.51 (assume @p193 (forall @t371 (=> @t366 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t105 @t370) @t370)))) % 1.34/1.51 (assume @p194 (forall @t376 (=> @t352 @t377))) % 1.34/1.51 (assume @p195 (forall @t376 (=> @t366 @t377))) % 1.34/1.51 (assume @p196 (forall @t380 (=> @t366 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t103 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t105 @t378)) @t379)))) % 1.34/1.51 (assume @p197 (forall @t386 (=> @t352 @t385))) % 1.34/1.51 (assume @p198 (forall @t386 (=> @t366 @t385))) % 1.34/1.51 (assume @p199 (forall @t387 (=> @t366 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t370 @t378) @t379)))) % 1.34/1.51 (assume @p200 (forall @t386 (=> @t352 @t388))) % 1.34/1.51 (assume @p201 (forall @t386 (=> @t366 @t388))) % 1.34/1.51 (assume @p202 (forall (@list @t2 @t28) (tptp.c_Wellfounded_Owf @t28 (tptp.c_Wellfounded_Omeasure @t28 @t2)))) % 1.34/1.51 (assume @p203 (forall (@list @t64 @t389 @t87 @t50 @t28 @t2) (=> (= @t2 @t391) (=> @t359 (= @t390 (tptp.hAPP (tptp.hAPP @t389 @t165) @t64)))))) % 1.34/1.51 (assume @p204 (forall (@list @t64 @t389 @t50 @t87 @t28) (=> @t359 (= (tptp.hAPP @t391 @t64) (tptp.hAPP (tptp.hAPP @t389 (tptp.c_Recdef_Ocut @t28 @t50 @t391 @t87 @t64)) @t64))))) % 1.34/1.51 (assume @p205 (forall (@list @t50 @t28 @t392 @t159) (=> (tptp.c_Wellfounded_Owf @t28 @t159) (forall @t6 (= (tptp.hAPP @t393 @t3) (tptp.hAPP (tptp.hAPP @t392 (tptp.c_Recdef_Ocut @t28 @t50 @t393 @t159 @t3)) @t3)))))) % 1.34/1.51 (assume @p206 (forall @t231 (= (tptp.c_Relation_OField @t28 (tptp.c_Set_Oinsert @t89 @t154 @t87)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t396 @t360)))) % 1.34/1.51 (assume @p207 (forall @t271 (tptp.c_Wellfounded_Owf @t28 @t397))) % 1.34/1.51 (assume @p208 (forall @t265 (not (tptp.c_member @t28 @t64 @t394)))) % 1.34/1.51 (assume @p209 (forall @t271 (= (tptp.c_Relation_OField @t28 @t397) @t394))) % 1.34/1.51 (assume @p210 (forall @t399 (= (= @t254 @t394) (= @t87 @t398)))) % 1.34/1.51 (assume @p211 (forall (@list @t28 @t50) (= (tptp.c_Relation_ORange @t50 @t28 @t398) @t394))) % 1.34/1.51 (assume @p212 (forall @t271 (= (tptp.c_Relation_OId__on @t28 @t394) @t397))) % 1.34/1.51 (assume @p213 (forall @t238 (= (= @t197 @t394) (= @t87 @t400)))) % 1.34/1.51 (assume @p214 (forall (@list @t50 @t28) (= (tptp.c_Relation_ODomain @t28 @t50 @t400) @t394))) % 1.34/1.51 (assume @p215 (forall @t271 (tptp.c_Relation_Orefl__on @t28 @t394 @t397))) % 1.34/1.51 (assume @p216 (forall @t252 (= (forall @t6 @t402) @t401))) % 1.34/1.51 (assume @p217 (forall @t252 (= (exists @t6 @t249) (not @t401)))) % 1.34/1.51 (assume @p218 (forall (@list @t27 @t28) (not (tptp.c_member @t28 @t27 @t394)))) % 1.34/1.51 (assume @p219 (forall (@list @t64 @t28 @t30) (=> @t401 @t403))) % 1.34/1.51 (assume @p220 (forall @t344 (not (= @t394 @t343)))) % 1.34/1.51 (assume @p221 (forall @t344 (not (= @t343 @t394)))) % 1.34/1.51 (assume @p222 (forall (@list @t404 @t27 @t62 @t64 @t28) (= (= @t396 (tptp.c_Set_Oinsert @t28 @t27 (tptp.c_Set_Oinsert @t28 @t404 @t394))) (or (and @t76 (= @t62 @t404)) (and (= @t64 @t404) @t79))))) % 1.34/1.51 (assume @p223 (forall @t275 (=> (= @t405 @t395) @t82))) % 1.34/1.51 (assume @p224 (forall @t406 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t394 @t26) @t26))) % 1.34/1.51 (assume @p225 (forall @t252 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t394) @t30))) % 1.34/1.51 (assume @p226 (forall @t319 (= (= @t302 @t394) (and @t401 (= @t26 @t394))))) % 1.34/1.51 (assume @p227 (forall @t271 (= (tptp.c_Transitive__Closure_Otrancl @t28 @t397) @t397))) % 1.34/1.51 (assume @p228 (forall @t271 (tptp.c_Relation_Oantisym @t28 @t397))) % 1.34/1.51 (assume @p229 (forall @t91 (tptp.c_Relation_Ototal__on @t28 @t394 @t87))) % 1.34/1.51 (assume @p230 (forall @t369 (=> @t408 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t407 @t368) @t368)))) % 1.34/1.51 (assume @p231 (forall @t369 (=> @t408 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t407) @t368)))) % 1.34/1.51 (assume @p232 (forall @t167 (=> @t408 (= (= @t409 @t407) (and (= @t38 @t407) (= @t37 @t407)))))) % 1.34/1.51 (assume @p233 (forall @t412 (=> @t411 @t410))) % 1.34/1.51 (assume @p234 (forall @t412 (= @t411 @t410))) % 1.34/1.51 (assume @p235 (forall @t344 (= @t343 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t405 @t30)))) % 1.34/1.51 (assume @p236 (forall @t271 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t397) @t264))) % 1.34/1.51 (assume @p237 (forall (@list @t38 @t28) (= (tptp.c_Set_Othe__elem @t28 @t413) @t38))) % 1.34/1.51 (assume @p238 (forall (@list @t38 @t50 @t28) (=> @t414 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t351) @t38) @t407)))) % 1.34/1.51 (assume @p239 (forall (@list @t28 @t49 @t50 @t53) (=> (forall @t6 (=> @t328 (tptp.c_Wellfounded_Owf @t50 (tptp.hAPP @t49 @t3)))) (tptp.c_Wellfounded_Owf @t52 @t54)))) % 1.34/1.51 (assume @p240 (forall @t365 (=> @t359 (=> (tptp.c_Wellfounded_Owf @t28 @t135) (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t269 (tptp.c_Relation_ORange @t28 @t28 @t135)) @t394) (tptp.c_Wellfounded_Owf @t28 @t336)))))) % 1.34/1.51 (assume @p241 (forall @t91 (= @t359 (forall (@list @t415) (=> (exists @t6 @t416) (exists @t6 (and @t416 (forall @t163 (=> @t296 (not (tptp.c_member @t28 @t161 @t415))))))))))) % 1.34/1.51 (assume @p242 (forall @t304 (=> @t418 (not (=> @t113 @t305))))) % 1.34/1.51 (assume @p243 (forall (@list @t28 @t26 @t38 @t30) (=> @t113 (=> @t300 @t418)))) % 1.34/1.51 (assume @p244 (forall @t313 (=> @t419 (not @t34)))) % 1.34/1.51 (assume @p245 (forall @t313 (=> @t31 (=> @t29 @t419)))) % 1.34/1.51 (assume @p246 (forall @t369 (=> @t408 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t407 @t368) @t407)))) % 1.34/1.51 (assume @p247 (forall @t369 (=> @t408 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t407) @t407)))) % 1.34/1.51 (assume @p248 (forall @t406 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t394 @t26) @t394))) % 1.34/1.51 (assume @p249 (forall @t252 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t394) @t394))) % 1.34/1.51 (assume @p250 (forall @t319 (= (= @t417 @t394) (forall @t6 (=> @t249 (forall @t132 (=> @t420 @t248))))))) % 1.34/1.51 (assume @p251 (forall @t422 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t343 @t322) @t421))) % 1.34/1.51 (assume @p252 (forall @t327 (= @t424 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t417 @t423)))) % 1.34/1.51 (assume @p253 (forall @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t30 @t425) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t302 @t324)))) % 1.34/1.51 (assume @p254 (forall @t428 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t325 @t30) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t427 @t426)))) % 1.34/1.51 (assume @p255 (forall @t428 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t425 @t30) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t318 @t429)))) % 1.34/1.51 (assume @p256 (forall @t327 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t417 @t425) @t426) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t302 @t325) @t429)))) % 1.34/1.51 (assume @p257 (forall @t431 (=> @t359 (tptp.c_Wellfounded_Owf @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t289 @t87 @t430))))) % 1.34/1.51 (assume @p258 (forall @t431 (=> @t359 (tptp.c_Wellfounded_Owf @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t289 @t430 @t87))))) % 1.34/1.51 (assume @p259 (forall @t338 (=> @t258 (=> @t337 (tptp.c_Relation_Orefl__on @t28 @t417 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t289 @t87 @t135)))))) % 1.34/1.51 (assume @p260 (forall @t327 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t417 @t323) @t432))) % 1.34/1.51 (assume @p261 (forall @t327 (= @t432 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t26 @t423)))) % 1.34/1.51 (assume @p262 (forall @t319 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t417) @t417))) % 1.34/1.51 (assume @p263 (forall @t319 (= @t417 @t427))) % 1.34/1.51 (assume @p264 (forall @t252 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t30 @t30) @t30))) % 1.34/1.51 (assume @p265 (forall @t304 (=> @t418 @t300))) % 1.34/1.51 (assume @p266 (forall @t304 (=> @t418 @t113))) % 1.34/1.51 (assume @p267 (forall @t313 (= @t419 (and @t31 @t29)))) % 1.34/1.51 (assume @p268 (forall @t313 (=> @t419 @t31))) % 1.34/1.51 (assume @p269 (forall @t313 (=> @t419 @t29))) % 1.34/1.51 (assume @p270 (forall @t353 (=> @t352 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t351 @t2 @t1) @t38) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t164 @t350))))) % 1.34/1.51 (assume @p271 (forall @t386 (=> @t437 @t436))) % 1.34/1.51 (assume @p272 (forall @t386 (=> @t352 @t436))) % 1.34/1.51 (assume @p273 (forall @t387 (=> @t437 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t439 @t378) @t438)))) % 1.34/1.51 (assume @p274 (forall @t386 (=> @t437 @t441))) % 1.34/1.51 (assume @p275 (forall @t386 (=> @t352 @t441))) % 1.34/1.51 (assume @p276 (forall @t380 (=> @t437 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t103 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t105 @t378)) @t438)))) % 1.34/1.51 (assume @p277 (forall @t376 (=> @t437 @t442))) % 1.34/1.51 (assume @p278 (forall @t376 (=> @t352 @t442))) % 1.34/1.51 (assume @p279 (forall @t371 (=> @t437 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t105 @t439) @t439)))) % 1.34/1.51 (assume @p280 (forall @t376 (=> @t437 @t444))) % 1.34/1.51 (assume @p281 (forall @t376 (=> @t352 @t444))) % 1.34/1.51 (assume @p282 (forall @t371 (=> @t437 (= @t439 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t103 @t105))))) % 1.34/1.51 (assume @p283 (forall @t369 (=> @t437 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t368) @t368)))) % 1.34/1.51 (assume @p284 (forall @t367 (=> @t437 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t105 @t105) @t105)))) % 1.34/1.51 (assume @p285 (forall @t376 (=> @t352 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t374) @t368)))) % 1.34/1.51 (assume @p286 (forall @t376 (=> @t352 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t435) @t368)))) % 1.34/1.51 (assume @p287 (forall @t386 (=> @t447 (= @t446 @t445)))) % 1.34/1.51 (assume @p288 (forall @t386 (=> @t447 (= @t449 @t448)))) % 1.34/1.51 (assume @p289 (forall @t450 (=> @t447 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t383 @t368) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t443 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t381 @t368)))))) % 1.34/1.51 (assume @p290 (forall @t450 (=> @t447 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t433 @t368) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t373 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t381 @t368)))))) % 1.34/1.51 (assume @p291 (forall @t422 (and @t453 @t452))) % 1.34/1.51 (assume @p292 (forall @t458 (and @t457 @t456))) % 1.34/1.51 (assume @p293 (forall @t422 @t452)) % 1.34/1.51 (assume @p294 (forall @t458 @t456)) % 1.34/1.51 (assume @p295 (forall @t422 @t453)) % 1.34/1.51 (assume @p296 (forall @t458 @t457)) % 1.34/1.51 (assume @p297 (forall @t363 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t289 @t459 @t178) @t397) (not (tptp.c_member @t89 (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t38) @t262))))) % 1.34/1.51 (assume @p298 (forall (@list @t64 @t87 @t50 @t62 @t28) (= (tptp.c_member @t28 @t62 (tptp.c_Relation_OImage @t50 @t28 @t87 (tptp.c_Set_Oinsert @t50 @t64 @t461))) (tptp.c_member @t253 @t339 @t87)))) % 1.34/1.51 (assume @p299 (forall @t268 (=> @t462 (tptp.c_Wellfounded_OwfP @t28 (tptp.c_FunDef_Oin__rel @t28 @t28 @t49))))) % 1.34/1.51 (assume @p300 (forall @t293 (=> (tptp.c_Relation_Orefl__on @t28 @t360 @t87) (=> @t292 @t468)))) % 1.34/1.51 (assume @p301 (forall (@list @t49 @t28 @t50) (= (tptp.c_Relation_OImage @t50 @t28 @t49 @t461) @t394))) % 1.34/1.51 (assume @p302 (forall @t473 (=> (tptp.c_Relation_Osingle__valued @t28 @t50 (tptp.c_Relation_Oconverse @t50 @t28 @t49)) (= @t472 @t471)))) % 1.34/1.51 (assume @p303 (forall @t476 (= (tptp.c_Relation_Oconverse @t50 @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t317 @t87 @t135)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t334 @t475 @t474)))) % 1.34/1.51 (assume @p304 (forall @t476 (= (tptp.c_Relation_Oconverse @t50 @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t317 @t87 @t135)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t334 @t475 @t474)))) % 1.34/1.51 (assume @p305 (forall @t252 (= (tptp.c_Relation_OImage @t28 @t28 @t264 @t30) @t30))) % 1.34/1.51 (assume @p306 (forall @t91 (= (tptp.c_Relation_OField @t28 @t459) @t360))) % 1.34/1.51 (assume @p307 (forall @t271 (= (tptp.c_Relation_Oconverse @t28 @t28 @t264) @t264))) % 1.34/1.51 (assume @p308 (forall @t251 (= (tptp.c_Relation_Orefl__on @t28 @t30 @t459) @t258))) % 1.34/1.52 (assume @p309 (forall @t91 (= (tptp.c_Relation_Oantisym @t28 @t459) @t292))) % 1.34/1.52 (assume @p310 (forall @t91 (= (tptp.c_Wellfounded_Oacyclic @t28 @t459) @t283))) % 1.34/1.52 (assume @p311 (forall @t252 (= (tptp.c_Relation_Oconverse @t28 @t28 @t239) @t239))) % 1.34/1.52 (assume @p312 (forall @t399 (= (tptp.c_Relation_Oconverse @t50 @t28 @t477) @t87))) % 1.34/1.52 (assume @p313 (forall @t91 (= @t479 @t478))) % 1.34/1.52 (assume @p314 (forall @t91 (= @t480 (tptp.c_Relation_Oconverse @t28 @t28 @t178)))) % 1.34/1.52 (assume @p315 (forall (@list @t26 @t30 @t49 @t28 @t50) (= (tptp.c_Relation_OImage @t50 @t28 @t49 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t460 @t30 @t26)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t470 @t469)))) % 1.34/1.52 (assume @p316 (forall (@list @t2 @t49 @t50 @t28) (= (tptp.c_Relation_Oconverse @t28 @t28 (tptp.c_Relation_Oinv__image @t50 @t28 @t49 @t2)) (tptp.c_Relation_Oinv__image @t50 @t28 (tptp.c_Relation_Oconverse @t50 @t50 @t49) @t2)))) % 1.34/1.52 (assume @p317 (forall @t251 (= (tptp.c_Relation_Ototal__on @t28 @t30 @t459) @t250))) % 1.34/1.52 (assume @p318 (forall @t200 (= @t483 @t482))) % 1.34/1.52 (assume @p319 (forall @t200 (=> @t199 (tptp.c_member @t253 @t481 @t477)))) % 1.34/1.52 (assume @p320 (forall @t200 (=> @t483 @t482))) % 1.34/1.52 (assume @p321 (forall (@list @t30 @t345 @t49 @t28 @t50) (= (tptp.c_Relation_OImage @t50 @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t317 @t49 @t345) @t30) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t470 (tptp.c_Relation_OImage @t50 @t28 @t345 @t30))))) % 1.34/1.52 (assume @p322 (forall @t91 (=> (tptp.c_Wellfounded_Owf @t28 @t459) (tptp.c_Wellfounded_Owf @t28 @t478)))) % 1.34/1.52 (assume @p323 (forall @t319 (= (tptp.c_Relation_OImage @t28 @t28 @t239 @t26) @t417))) % 1.34/1.52 (assume @p324 (forall @t399 (= @t254 @t484))) % 1.34/1.52 (assume @p325 (forall @t238 (= @t484 @t254))) % 1.34/1.52 (assume @p326 (forall @t399 (= (tptp.c_Relation_ORange @t50 @t28 @t477) @t197))) % 1.34/1.52 (assume @p327 (forall (@list @t36) (= (tptp.c_member @t22 (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t36) tptp.c_Arrow__Order__Mirabelle_OLin) @t157))) % 1.34/1.52 (assume @p328 (forall @t487 (= @t486 (exists @t6 (and @t485 @t255))))) % 1.34/1.52 (assume @p329 (forall (@list @t87 @t62 @t50 @t30 @t64 @t28) (=> @t106 (=> @t199 (tptp.c_member @t50 @t62 @t488))))) % 1.34/1.52 (assume @p330 (forall @t288 (=> @t490 @t489))) % 1.34/1.52 (assume @p331 (forall @t491 (=> @t489 @t490))) % 1.34/1.52 (assume @p332 (forall @t491 (=> @t493 @t492))) % 1.34/1.52 (assume @p333 (forall @t491 (=> @t492 @t493))) % 1.34/1.52 (assume @p334 (forall @t293 (=> (tptp.c_Order__Relation_Opartial__order__on @t28 @t360 @t87) @t468))) % 1.34/1.52 (assume @p335 (forall @t487 (=> @t486 (not (forall @t6 (=> @t255 (not @t485))))))) % 1.34/1.52 (assume @p336 (forall @t271 (tptp.c_Order__Relation_Owell__order__on @t28 @t394 @t397))) % 1.34/1.52 (assume @p337 (forall @t251 (= (tptp.c_Order__Relation_Opartial__order__on @t28 @t30 @t459) @t494))) % 1.34/1.52 (assume @p338 (forall @t271 (tptp.c_Order__Relation_Opartial__order__on @t28 @t394 @t397))) % 1.34/1.52 (assume @p339 (forall @t251 (= @t495 (and @t494 @t250)))) % 1.34/1.52 (assume @p340 (forall @t251 (= @t494 (and @t496 @t292)))) % 1.34/1.52 (assume @p341 (forall (@list @t62 @t64 @t38 @t87 @t30 @t28) (=> @t497 (=> (tptp.c_member @t28 @t38 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t464 @t463)) @t155)))) % 1.34/1.52 (assume @p342 (forall @t251 (= (tptp.c_Order__Relation_Opreorder__on @t28 @t30 @t459) @t496))) % 1.34/1.52 (assume @p343 (forall @t251 (= (tptp.c_Order__Relation_Olinear__order__on @t28 @t30 @t459) @t495))) % 1.34/1.52 (assume @p344 (forall @t261 (=> @t497 (=> @t106 (tptp.c_member @t28 @t64 @t464))))) % 1.34/1.52 (assume @p345 (forall @t498 (=> @t497 (=> @t155 @t465)))) % 1.34/1.52 (assume @p346 (forall @t271 (tptp.c_Order__Relation_Opreorder__on @t28 @t394 @t397))) % 1.34/1.52 (assume @p347 (forall @t259 (=> @t497 (= @t257 (and @t501 @t110 @t109))))) % 1.34/1.52 (assume @p348 (forall @t259 (=> @t497 (=> @t110 (=> @t109 (= @t501 @t257)))))) % 1.34/1.52 (assume @p349 (forall (@list @t30 @t62 @t64 @t87 @t28) (=> @t465 (=> @t497 @t502)))) % 1.34/1.52 (assume @p350 (forall @t271 (tptp.c_Order__Relation_Olinear__order__on @t28 @t394 @t397))) % 1.34/1.52 (assume @p351 (forall @t293 (=> @t504 (=> @t467 (=> @t466 (= @t503 @t291)))))) % 1.34/1.52 (assume @p352 (forall @t259 (=> @t497 (=> @t110 (=> @t109 (= (= @t505 (tptp.c_Equiv__Relations_Oquotient @t28 @t499 @t87)) @t257)))))) % 1.34/1.52 (assume @p353 (forall (@list @t64 @t62 @t87 @t30 @t28) (=> @t497 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t463 @t464) @t502)))) % 1.34/1.52 (assume @p354 (forall @t369 (=> @t506 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t368)))) % 1.34/1.52 (assume @p355 (forall @t319 (=> @t508 (=> @t507 @t35)))) % 1.34/1.52 (assume @p356 (forall (@list @t27 @t26 @t30 @t28) (=> @t508 @t509))) % 1.34/1.52 (assume @p357 (forall @t252 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t394 @t30))) % 1.34/1.52 (assume @p358 (forall @t251 (= (= @t511 @t510) @t401))) % 1.34/1.52 (assume @p359 (forall @t251 (= (= @t510 @t511) @t401))) % 1.34/1.52 (assume @p360 (forall @t91 (= (tptp.c_Equiv__Relations_Oquotient @t28 @t394 @t87) @t510))) % 1.34/1.52 (assume @p361 (forall @t342 (=> @t341 (= (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t340) @t508)))) % 1.34/1.52 (assume @p362 (forall @t342 (= (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t320 @t26) (and @t111 @t508)))) % 1.34/1.52 (assume @p363 (forall @t386 (=> @t352 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t445 @t446)))) % 1.34/1.52 (assume @p364 (forall @t386 (=> @t352 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t449 @t448)))) % 1.34/1.52 (assume @p365 (forall (@list @t38 @t30 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t413) (or @t401 (= @t30 @t413))))) % 1.34/1.52 (assume @p366 (forall @t515 (=> @t514 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t417 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t323 @t512)))))) % 1.34/1.52 (assume @p367 (forall (@list @t26 @t30 @t323 @t28) (=> @t516 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t323 @t26) (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t323 @t417))))) % 1.34/1.52 (assume @p368 (forall @t517 (=> @t507 (= @t417 @t26)))) % 1.34/1.52 (assume @p369 (forall @t319 (=> @t508 (= @t417 @t30)))) % 1.34/1.52 (assume @p370 (forall @t319 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t417 @t26))) % 1.34/1.52 (assume @p371 (forall @t319 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t417 @t30))) % 1.34/1.52 (assume @p372 (forall @t521 (=> @t437 (=> @t520 (not (=> @t519 (not @t518))))))) % 1.34/1.52 (assume @p373 (forall @t525 (=> @t437 (=> @t524 (=> @t523 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t439 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t378 @t522))))))) % 1.34/1.52 (assume @p374 (forall @t386 (=> @t437 (=> @t527 (=> @t526 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t433)))))) % 1.34/1.52 (assume @p375 (forall @t521 (=> @t437 (=> @t519 (=> @t518 @t520))))) % 1.34/1.52 (assume @p376 (forall @t529 (=> @t437 (=> @t528 (= @t435 @t372))))) % 1.34/1.52 (assume @p377 (forall @t376 (=> @t437 (=> @t527 (= @t435 @t368))))) % 1.34/1.52 (assume @p378 (forall (@list @t105 @t368 @t103 @t28) (=> @t437 (=> @t531 @t530)))) % 1.34/1.52 (assume @p379 (forall @t533 (=> @t437 (=> @t532 @t530)))) % 1.34/1.52 (assume @p380 (forall @t536 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t38 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t37 @t41)) (and @t535 @t534))))) % 1.34/1.52 (assume @p381 (forall @t167 (=> @t437 (= @t535 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t38 @t37) @t38))))) % 1.34/1.52 (assume @p382 (forall @t376 (=> @t437 @t537))) % 1.34/1.52 (assume @p383 (forall @t376 (=> @t352 @t537))) % 1.34/1.52 (assume @p384 (forall @t376 (=> @t437 @t538))) % 1.34/1.52 (assume @p385 (forall @t376 (=> @t352 @t538))) % 1.34/1.52 (assume @p386 (forall (@list @t30 @t539 @t87 @t430 @t50 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t334 @t430 @t87) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t539 @t30) (tptp.c_Orderings_Oord__class_Oless__eq @t460 (tptp.c_Relation_OImage @t28 @t50 @t430 @t539) @t488))))) % 1.34/1.52 (assume @p387 (forall @t541 (=> @t540 (=> (tptp.c_Relation_Osingle__valued @t28 @t50 @t135) @t237)))) % 1.34/1.52 (assume @p388 (forall @t304 (=> @t508 (=> @t110 @t111)))) % 1.34/1.52 (assume @p389 (forall @t342 (=> @t110 (=> @t508 @t111)))) % 1.34/1.52 (assume @p390 (forall @t376 (=> @t352 @t542))) % 1.34/1.52 (assume @p391 (forall @t376 (=> @t366 @t542))) % 1.34/1.52 (assume @p392 (forall @t529 (=> @t352 @t543))) % 1.34/1.52 (assume @p393 (forall @t529 (=> @t366 @t543))) % 1.34/1.52 (assume @p394 (forall @t167 (=> @t366 (= @t535 (= @t409 @t37))))) % 1.34/1.52 (assume @p395 (forall @t536 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t409 @t41) (and @t534 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t37 @t41)))))) % 1.34/1.52 (assume @p396 (forall @t521 (=> @t366 (=> @t519 @t544)))) % 1.34/1.52 (assume @p397 (forall (@list @t105 @t103 @t368 @t28) (=> @t366 (=> @t518 @t544)))) % 1.34/1.52 (assume @p398 (forall @t376 (=> @t366 (=> @t527 (= @t374 @t372))))) % 1.34/1.52 (assume @p399 (forall @t529 (=> @t366 (=> @t528 (= @t374 @t368))))) % 1.34/1.52 (assume @p400 (forall @t533 (=> @t366 (=> @t532 (=> @t531 @t545))))) % 1.34/1.52 (assume @p401 (forall @t547 (=> @t366 (=> @t528 (=> @t546 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t383 @t368)))))) % 1.34/1.52 (assume @p402 (forall @t525 (=> @t366 (=> @t524 (=> @t523 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t370 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t378 @t522))))))) % 1.34/1.52 (assume @p403 (forall (@list @t368 @t103 @t105 @t28) (=> @t366 (=> @t545 (not (=> @t532 (not @t531))))))) % 1.34/1.52 (assume @p404 (forall (@list @t64 @t26 @t28) (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t26 @t322))) % 1.34/1.52 (assume @p405 (forall (@list @t62 @t26 @t30 @t28) (=> @t508 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t308)))) % 1.34/1.52 (assume @p406 (forall (@list @t64 @t512 @t323 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t323 @t512) (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Set_Oinsert @t28 @t64 @t323) (tptp.c_Set_Oinsert @t28 @t64 @t512))))) % 1.34/1.52 (assume @p407 (forall @t319 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t302))) % 1.34/1.52 (assume @p408 (forall @t517 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t26 @t302))) % 1.34/1.52 (assume @p409 (forall @t319 (= @t508 @t548))) % 1.34/1.52 (assume @p410 (forall @t319 (=> @t508 @t548))) % 1.34/1.52 (assume @p411 (forall @t517 (=> @t507 (= @t302 @t30)))) % 1.34/1.52 (assume @p412 (forall (@list @t26 @t323 @t30 @t28) (=> @t514 (=> @t549 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t302 @t323))))) % 1.34/1.52 (assume @p413 (forall @t515 (=> @t514 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t302 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t323 @t512)))))) % 1.34/1.52 (assume @p414 (forall @t365 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t87 @t550) @t551))) % 1.34/1.52 (assume @p415 (forall @t349 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t49 @t345) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t345 @t194) (= @t347 @t194))))) % 1.34/1.52 (assume @p416 (forall @t365 (=> @t552 @t551))) % 1.34/1.52 (assume @p417 (forall @t553 (=> @t359 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t182 @t87) (tptp.c_Wellfounded_Owf @t28 @t182))))) % 1.34/1.52 (assume @p418 (forall @t541 (=> @t540 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t197 (tptp.c_Relation_ODomain @t28 @t50 @t135))))) % 1.34/1.52 (assume @p419 (forall @t554 (=> @t35 (not (=> @t508 (not @t507)))))) % 1.34/1.52 (assume @p420 (forall @t327 (=> @t508 (=> @t549 @t514)))) % 1.34/1.52 (assume @p421 (forall @t554 (=> @t35 @t507))) % 1.34/1.52 (assume @p422 (forall @t554 (=> @t35 @t508))) % 1.34/1.52 (assume @p423 (forall @t554 (= @t35 (and @t508 @t507)))) % 1.34/1.52 (assume @p424 (forall @t252 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t30))) % 1.34/1.52 (assume @p425 (forall (@list @t38 @t356 @t53 @t28) (=> @t557 (=> @t59 @t556)))) % 1.34/1.52 (assume @p426 (forall (@list @t356 @t28 @t38 @t53) (=> @t59 (=> @t557 @t556)))) % 1.34/1.52 (assume @p427 (forall (@list @t559 @t558 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t558 @t559) (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Wellfounded_Oacc @t28 @t559) (tptp.c_Wellfounded_Oacc @t28 @t558))))) % 1.34/1.52 (assume @p428 (forall @t365 (=> @t552 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t360 @t364)))) % 1.34/1.52 (assume @p429 (forall (@list @t87 @t135 @t28) (=> (tptp.c_Wellfounded_Oacyclic @t28 @t135) (=> @t552 @t283)))) % 1.34/1.52 (assume @p430 (forall @t365 (=> @t552 (=> (tptp.c_Relation_Oantisym @t28 @t135) @t292)))) % 1.34/1.52 (assume @p431 (forall @t376 (=> @t560 (=> (not @t527) @t528)))) % 1.34/1.52 (assume @p432 (forall (@list @t38 @t1 @t2 @t28 @t50) (=> @t562 (=> @t561 (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t164 @t350))))) % 1.34/1.52 (assume @p433 (forall @t547 (=> @t563 (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t381 @t372) @t546))))) % 1.34/1.52 (assume @p434 (forall @t529 (=> @t563 (=> @t528 (=> @t527 @t564))))) % 1.34/1.52 (assume @p435 (forall @t386 (=> @t506 (=> @t527 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t372 @t381) @t526))))) % 1.34/1.52 (assume @p436 (forall @t376 (=> @t563 (=> @t527 (=> @t528 @t564))))) % 1.34/1.52 (assume @p437 (forall @t380 (=> @t563 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t103 @t105) (=> @t566 @t565))))) % 1.34/1.52 (assume @p438 (forall @t387 (=> @t567 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t105 @t103) (=> @t566 @t524))))) % 1.34/1.52 (assume @p439 (forall @t387 (=> @t563 (=> @t568 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t378 @t103) @t565))))) % 1.34/1.52 (assume @p440 (forall @t387 (=> @t567 (=> @t568 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t103 @t378) @t524))))) % 1.34/1.52 (assume @p441 (forall (@list @t38 @t37 @t28) (=> @t563 (=> @t569 (= @t535 @t44))))) % 1.34/1.52 (assume @p442 (forall @t376 (=> @t506 (=> @t564 @t527)))) % 1.34/1.52 (assume @p443 (forall @t167 (=> @t563 (= @t44 (and @t535 @t569))))) % 1.34/1.52 (assume @p444 (forall @t376 (=> @t560 (or @t527 @t528)))) % 1.34/1.52 (assume @p445 (forall (@list @t1 @t2 @t28 @t50) (=> @t562 (= @t561 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t5 @t4)))))) % 1.34/1.52 (assume @p446 (forall @t369 (=> @t414 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t407 @t368)))) % 1.34/1.52 (assume @p447 (forall (@list @t26 @t28 @t30) (=> (= @t30 @t397) (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t30 @t26)))) % 1.34/1.52 (assume @p448 (forall @t252 (= (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t394) @t401))) % 1.34/1.52 (assume @p449 (forall @t327 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t417 @t323) @t424) @t516))) % 1.34/1.52 (assume @p450 (forall (@list @t135 @t87 @t182 @t28) (=> @t266 (=> @t552 (tptp.c_member @t89 @t182 (tptp.c_Transitive__Closure_Otrancl @t28 @t135)))))) % 1.34/1.52 (assume @p451 (forall @t473 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t472 @t471))) % 1.34/1.52 (assume @p452 (forall (@list @t570 @t87 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Relation_OImage @t28 @t28 @t87 @t570) @t570) (= (tptp.c_Relation_OImage @t28 @t28 @t178 @t570) @t570)))) % 1.34/1.52 (assume @p453 (forall @t349 (tptp.c_Orderings_Oord__class_Oless__eq @t289 @t348 @t346))) % 1.34/1.52 (assume @p454 (forall (@list @t30 @t49 @t28) (=> @t462 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 (tptp.c_Relation_OImage @t28 @t28 @t49 @t30)) @t401)))) % 1.34/1.52 (assume @p455 (forall @t335 (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t334 @t30 @t26)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t333 @t332)))) % 1.34/1.52 (assume @p456 (forall @t335 (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t317 @t30 @t26)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t316 @t315)))) % 1.34/1.52 (assume @p457 (forall @t177 (= @t505 (tptp.c_Set_Oinsert @t301 @t500 @t510)))) % 1.34/1.52 (assume @p458 (forall (@list @t571 @t570 @t87 @t30 @t28) (=> @t497 (=> @t574 (=> @t573 (or @t572 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t570 @t571) @t394))))))) % 1.34/1.52 (assume @p459 (forall (@list @t87 @t30 @t38 @t28) (=> @t110 (tptp.c_member @t301 @t500 @t511)))) % 1.34/1.52 (assume @p460 (forall @t498 (=> @t497 (=> @t155 @t503)))) % 1.34/1.52 (assume @p461 (forall @t577 (=> @t497 (=> @t574 (=> @t573 (=> @t576 (=> @t575 (= @t572 @t257)))))))) % 1.34/1.52 (assume @p462 (forall @t577 (=> @t497 (=> @t574 (=> @t573 (=> @t576 (=> @t575 (=> @t257 @t572)))))))) % 1.34/1.52 (assume @p463 (forall (@list @t26 @t30 @t87 @t28) (=> @t504 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t360) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t26 @t360) (= (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Relation_OImage @t28 @t28 @t87 @t30) (tptp.c_Relation_OImage @t28 @t28 @t87 @t26)) (forall @t6 (=> @t249 (exists @t132 (and @t420 @t247)))))))))) % 1.34/1.52 (assume @p464 (forall (@list @t87 @t30 @t570 @t28) (=> @t574 (not (forall @t6 (=> (= @t570 (tptp.c_Relation_OImage @t28 @t28 @t87 (tptp.c_Set_Oinsert @t28 @t3 @t394))) @t402)))))) % 1.34/1.52 (assume @p465 (forall @t553 (=> (tptp.c_Wellfounded_OwfP @t28 @t87) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t28 @t301) @t182 @t87) (tptp.c_Wellfounded_OwfP @t28 @t182))))) % 1.34/1.52 (assume @p466 (forall (@list @t41 @t37 @t2 @t87 @t50 @t28) (=> (tptp.c_Equiv__Relations_Ocongruent @t28 @t50 @t87 @t2) (=> (tptp.c_member @t89 @t203 @t87) (= @t256 (tptp.hAPP @t2 @t41)))))) % 1.34/1.52 (assume @p467 (forall (@list @t49 @t28 @t37 @t38 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t164 @t256) (=> (tptp.c_member @t89 @t195 @t49) (tptp.c_member @t89 @t195 @t578))))) % 1.34/1.52 (assume @p468 (forall (@list @t356 @t50 @t28 @t37 @t38 @t53) (=> @t581 (=> @t580 @t579)))) % 1.34/1.52 (assume @p469 (forall (@list @t37 @t38 @t356 @t53 @t50 @t28) (=> @t580 (=> @t581 @t579)))) % 1.34/1.52 (assume @p470 (forall (@list @t2 @t49 @t28) (=> @t462 (tptp.c_Wellfounded_Owf @t28 @t578)))) % 1.34/1.52 (assume @p471 (forall (@list @t64 @t2 @t582 @t124 @t50 @t583 @t30 @t28) (=> (tptp.c_Equiv__Relations_Oequiv @t28 @t30 @t583) (=> (tptp.c_Equiv__Relations_Ocongruent2 @t28 @t50 @t124 @t583 @t582 @t2) (=> @t106 (tptp.c_Equiv__Relations_Ocongruent @t50 @t124 @t582 @t390)))))) % 1.34/1.52 (assume @p472 (forall @t251 (= (tptp.c_Order__Relation_Owell__order__on @t28 @t30 @t87) (and @t495 (tptp.c_Wellfounded_Owf @t28 (tptp.c_Groups_Ominus__class_Ominus @t289 @t87 @t264)))))) % 1.34/1.52 (assume @p473 (forall @t313 (=> @t31 (=> @t33 @t585)))) % 1.34/1.52 (assume @p474 (forall @t313 (=> @t585 (not @t509)))) % 1.34/1.52 (assume @p475 (forall @t335 (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Groups_Ominus__class_Ominus @t301 @t333 @t332) (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Groups_Ominus__class_Ominus @t334 @t30 @t26))))) % 1.34/1.52 (assume @p476 (forall @t327 (=> @t508 (=> @t549 (= (tptp.c_Groups_Ominus__class_Ominus @t301 @t26 (tptp.c_Groups_Ominus__class_Ominus @t301 @t323 @t30)) @t30))))) % 1.34/1.52 (assume @p477 (forall (@list @t26 @t512 @t323 @t30 @t28) (=> @t514 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t512 @t26) (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t584 (tptp.c_Groups_Ominus__class_Ominus @t301 @t323 @t512)))))) % 1.34/1.52 (assume @p478 (forall @t319 (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t584 @t30))) % 1.34/1.52 (assume @p479 (forall @t335 (tptp.c_Orderings_Oord__class_Oless__eq @t301 (tptp.c_Groups_Ominus__class_Ominus @t301 @t316 @t315) (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Groups_Ominus__class_Ominus @t317 @t30 @t26))))) % 1.34/1.52 (assume @p480 (forall @t319 (=> @t508 (= @t587 @t26)))) % 1.34/1.52 (assume @p481 (forall @t327 (= (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t584 @t323) (tptp.c_Orderings_Oord__class_Oless__eq @t301 @t30 @t325)))) % 1.34/1.52 (assume @p482 (forall @t319 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t584 @t417) @t30))) % 1.34/1.52 (assume @p483 (forall @t327 (= (tptp.c_Groups_Ominus__class_Ominus @t301 @t30 @t325) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t301 @t584 @t588)))) % 1.34/1.52 (assume @p484 (forall @t327 (= (tptp.c_Groups_Ominus__class_Ominus @t301 @t30 @t425) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t584 @t588)))) % 1.34/1.52 (assume @p485 (forall (@list @t38 @t26 @t30 @t50 @t28) (=> (tptp.class_Groups_Ominus @t28) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t351 @t30 @t26) @t38) (tptp.c_Groups_Ominus__class_Ominus @t28 @t112 @t299))))) % 1.34/1.52 (assume @p486 (forall @t319 (= (tptp.c_Groups_Ominus__class_Ominus @t301 @t584 @t26) @t584))) % 1.34/1.52 (assume @p487 (forall @t327 (= (tptp.c_Groups_Ominus__class_Ominus @t301 @t302 @t323) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t588 (tptp.c_Groups_Ominus__class_Ominus @t301 @t26 @t323))))) % 1.34/1.52 (assume @p488 (forall @t517 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t301 @t586 @t30) @t318))) % 1.34/1.52 (assume @p489 (forall @t319 (= @t587 @t302))) % 1.34/1.52 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p491 (forall @t593 (=> @t592 (tptp.class_Lattices_Obounded__lattice @t591)))) % 1.34/1.52 (assume @p492 (forall @t593 (=> @t592 (tptp.class_Lattices_Obounded__lattice__bot @t591)))) % 1.34/1.52 (assume @p493 (forall @t593 (=> @t594 (tptp.class_Lattices_Osemilattice__sup @t591)))) % 1.34/1.52 (assume @p494 (forall @t593 (=> @t594 (tptp.class_Lattices_Osemilattice__inf @t591)))) % 1.34/1.52 (assume @p495 (forall @t593 (=> (tptp.class_Lattices_Odistrib__lattice @t589) (tptp.class_Lattices_Odistrib__lattice @t591)))) % 1.34/1.52 (assume @p496 (forall @t593 (=> (tptp.class_Orderings_Opreorder @t589) (tptp.class_Orderings_Opreorder @t591)))) % 1.34/1.52 (assume @p497 (forall @t593 (=> @t594 (tptp.class_Lattices_Olattice @t591)))) % 1.34/1.52 (assume @p498 (forall @t593 (=> (tptp.class_Orderings_Oorder @t589) (tptp.class_Orderings_Oorder @t591)))) % 1.34/1.52 (assume @p499 (forall @t593 (=> (tptp.class_Orderings_Oord @t589) (tptp.class_Orderings_Oord @t591)))) % 1.34/1.52 (assume @p500 (forall @t593 (=> (tptp.class_Orderings_Obot @t589) (tptp.class_Orderings_Obot @t591)))) % 1.34/1.52 (assume @p501 (forall @t593 (=> (tptp.class_Groups_Ominus @t589) (tptp.class_Groups_Ominus @t591)))) % 1.34/1.52 (assume @p502 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p503 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p504 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p505 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p506 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p507 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p508 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p509 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p510 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p511 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.34/1.52 (assume @p512 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p513 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p514 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p515 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p516 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p517 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p518 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p519 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p520 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p521 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.34/1.52 (assume @p522 (forall @t596 (or (not @t595) @t44))) % 1.34/1.52 (assume @p523 (forall @t596 (or @t45 @t595))) % 1.34/1.52 (assume @p524 (not @t20)) % 1.34/1.52 (assume @p525 true) % 1.34/1.52 (step @p526 :rule and_elim :premises (@p6) :args (1)) % 1.34/1.52 (step @p527 :rule not_equiv_elim2 :premises (@p524)) % 1.34/1.52 (step @p528 :rule aci_norm :args ((= (or @t410 @t603) @t602))) % 1.34/1.52 (step @p529 :rule aci_norm :args ((= (or @t601 @t604) @t603))) % 1.34/1.52 (step @p530 :rule aci_norm :args ((= (or @t600 @t605) @t604))) % 1.34/1.52 (step @p531 :rule aci_norm :args ((= (or @t599 @t606) @t605))) % 1.34/1.52 (step @p532 :rule aci_norm :args ((= (or @t598 (or @t597 @t67)) @t606))) % 1.34/1.52 (step @p533 :rule bool-impl-elim :args (@t70 @t67)) % 1.34/1.52 (step @p534 :rule refl :args (@t598)) % 1.34/1.52 (step @p535 :rule nary_cong :premises (@p534 @p533) :args ((or @t598 @t71))) % 1.34/1.52 (step @p536 :rule trans :premises (@p535 @p532)) % 1.34/1.52 (step @p537 :rule bool-impl-elim :args (@t72 @t71)) % 1.34/1.52 (step @p538 :rule trans :premises (@p537 @p536)) % 1.34/1.52 (step @p539 :rule refl :args (@t599)) % 1.34/1.52 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or @t599 @t73))) % 1.34/1.52 (step @p541 :rule trans :premises (@p540 @p531)) % 1.34/1.52 (step @p542 :rule bool-impl-elim :args (@t74 @t73)) % 1.34/1.52 (step @p543 :rule trans :premises (@p542 @p541)) % 1.34/1.52 (step @p544 :rule refl :args (@t600)) % 1.34/1.52 (step @p545 :rule nary_cong :premises (@p544 @p543) :args ((or @t600 @t75))) % 1.34/1.52 (step @p546 :rule trans :premises (@p545 @p530)) % 1.34/1.52 (step @p547 :rule refl :args (@t75)) % 1.34/1.52 (step @p548 :rule bool-double-not-elim :args (@t600)) % 1.34/1.52 (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or (not @t607) @t75))) % 1.34/1.52 (step @p550 :rule bool-impl-elim :args (@t607 @t75)) % 1.34/1.52 (step @p551 :rule trans :premises (@p550 @p549)) % 1.34/1.52 (step @p552 :rule trans :premises (@p551 @p546)) % 1.34/1.52 (step @p553 :rule refl :args (@t601)) % 1.34/1.52 (step @p554 :rule nary_cong :premises (@p553 @p552) :args ((or @t601 @t608))) % 1.34/1.52 (step @p555 :rule trans :premises (@p554 @p529)) % 1.34/1.52 (step @p556 :rule refl :args (@t608)) % 1.34/1.52 (step @p557 :rule bool-double-not-elim :args (@t601)) % 1.34/1.52 (step @p558 :rule nary_cong :premises (@p557 @p556) :args ((or (not @t609) @t608))) % 1.34/1.52 (step @p559 :rule bool-impl-elim :args (@t609 @t608)) % 1.34/1.52 (step @p560 :rule trans :premises (@p559 @p558)) % 1.34/1.52 (step @p561 :rule trans :premises (@p560 @p555)) % 1.34/1.52 (step @p562 :rule refl :args (@t410)) % 1.34/1.52 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or @t410 @t610))) % 1.34/1.52 (step @p564 :rule trans :premises (@p563 @p528)) % 1.34/1.52 (step @p565 :rule refl :args (@t610)) % 1.34/1.52 (step @p566 :rule bool-double-not-elim :args (@t410)) % 1.34/1.52 (step @p567 :rule nary_cong :premises (@p566 @p565) :args ((or (not @t611) @t610))) % 1.34/1.52 (step @p568 :rule bool-impl-elim :args (@t611 @t610)) % 1.34/1.52 (step @p569 :rule trans :premises (@p568 @p567)) % 1.34/1.52 (step @p570 :rule trans :premises (@p569 @p564)) % 1.34/1.52 (step @p571 :rule cong :premises (@p570) :args ((forall @t85 (=> @t611 @t610)))) % 1.34/1.52 (step @p572 :rule refl :args (@t75)) % 1.34/1.52 (step @p573 :rule eq-symm :args (@t64 @t27)) % 1.34/1.52 (step @p574 :rule cong :premises (@p573) :args (@t77)) % 1.34/1.52 (step @p575 :rule cong :premises (@p574 @p572) :args (@t78)) % 1.34/1.52 (step @p576 :rule eq-symm :args (@t62 @t27)) % 1.34/1.52 (step @p577 :rule cong :premises (@p576) :args (@t80)) % 1.34/1.52 (step @p578 :rule cong :premises (@p577 @p575) :args (@t81)) % 1.34/1.52 (step @p579 :rule eq-symm :args (@t64 @t62)) % 1.34/1.52 (step @p580 :rule cong :premises (@p579) :args (@t83)) % 1.34/1.52 (step @p581 :rule cong :premises (@p580 @p578) :args (@t84)) % 1.34/1.52 (step @p582 :rule cong :premises (@p581) :args (@t86)) % 1.34/1.52 (step @p583 :rule trans :premises (@p582 @p571)) % 1.34/1.52 (step @p584 :rule eq_resolve :premises (@p17 @p583)) % 1.34/1.52 (step @p585 :rule refl :args (@t614)) % 1.34/1.52 (step @p586 :rule refl :args (@t616)) % 1.34/1.52 (step @p587 :rule refl :args (@t617)) % 1.34/1.52 (step @p588 :rule refl :args (@t618)) % 1.34/1.52 (step @p589 :rule eq-symm :args (tptp.v_b_H____ tptp.v_a____)) % 1.34/1.52 (step @p590 :rule eq-symm :args (tptp.v_b_H____ tptp.v_b____)) % 1.34/1.52 (step @p591 :rule refl :args (@t619)) % 1.34/1.52 (step @p592 :rule nary_cong :premises (@p591 @p590 @p589 @p588 @p587 @p586 @p585) :args (@t621)) % 1.34/1.52 (step @p593 :rule refl :args (@t622)) % 1.34/1.52 (step @p594 :rule cong :premises (@p593 @p592) :args ((=> @t622 @t621))) % 1.34/1.52 (assume-push @p739 @t622) % 1.34/1.52 (step @p596 :rule instantiate :premises (@p584) :args ((@list tptp.v_P_H____ tptp.v_P____ tptp.v_b_H____ tptp.v_b____ tptp.v_a____))) % 1.34/1.52 (step-pop @p740 :rule scope :premises (@p596)) % 1.34/1.52 (step @p597 :rule process_scope :premises (@p740) :args (@t621)) % 1.34/1.52 (step @p599 :rule eq_resolve :premises (@p597 @p594)) % 1.34/1.52 (step @p600 :rule implies_elim :premises (@p599)) % 1.34/1.52 (step @p601 :rule chain_m_resolution :premises (@p600 @p584) :args (@t624 @t625 (@list @t622))) % 1.34/1.52 (step @p602 :rule instantiate :premises (@p7) :args ((@list @t626))) % 1.34/1.52 (step @p603 :rule cnf_equiv_pos2 :args (@t630)) % 1.34/1.52 (step @p604 :rule reordering :premises (@p603) :args ((or @t629 @t632 @t631))) % 1.34/1.52 (step @p605 :rule cnf_equiv_neg2 :args (@t634)) % 1.34/1.52 (assume-push @p741 @t7) % 1.34/1.52 (assume-push @p742 @t628) % 1.34/1.52 (assume-push @p743 @t628) % 1.34/1.52 (assume-push @p744 @t7) % 1.34/1.52 (step @p610 :rule true_intro :premises (@p742)) % 1.34/1.52 (step @p611 :rule refl :args (@t627)) % 1.34/1.52 (step @p612 :rule refl :args (tptp.v_b_H____)) % 1.34/1.52 (step @p613 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.34/1.52 (step @p614 :rule cong :premises (@p613 @p613 @p526 @p612) :args (@t612)) % 1.34/1.52 (step @p615 :rule refl :args (@t13)) % 1.34/1.52 (step @p616 :rule cong :premises (@p615 @p614 @p611) :args (@t633)) % 1.34/1.52 (step @p617 :rule trans :premises (@p616 @p610)) % 1.34/1.52 (step @p618 :rule true_elim :premises (@p617)) % 1.34/1.52 (step-pop @p745 :rule scope :premises (@p618)) % 1.34/1.52 (step-pop @p746 :rule scope :premises (@p745)) % 1.34/1.52 (step @p619 :rule process_scope :premises (@p746) :args (@t633)) % 1.34/1.52 (step @p622 :rule and_intro :premises (@p742 @p526)) % 1.34/1.52 (step @p623 :rule modus_ponens :premises (@p622 @p619)) % 1.34/1.52 (step-pop @p747 :rule scope :premises (@p623)) % 1.34/1.52 (step-pop @p748 :rule scope :premises (@p747)) % 1.34/1.52 (step @p624 :rule process_scope :premises (@p748) :args (@t633)) % 1.34/1.52 (step @p627 :rule implies_elim :premises (@p624)) % 1.34/1.52 (step @p628 :rule cnf_and_neg :args (@t635)) % 1.34/1.52 (step @p629 :rule resolution :premises (@p628 @p627) :args (true @t635)) % 1.34/1.52 (step @p630 :rule reordering :premises (@p629) :args ((or @t21 @t633 @t632))) % 1.34/1.52 (step @p631 :rule chain_m_resolution :premises (@p630 @p526 @p605 @p604 @p602) :args ((or @t634 @t632) (@list false true false false) (@list @t7 @t633 @t629 @t630))) % 1.34/1.52 (step @p632 :rule cnf_equiv_pos1 :args (@t630)) % 1.34/1.52 (step @p633 :rule reordering :premises (@p632) :args ((or (not @t629) @t628 @t631))) % 1.34/1.52 (step @p634 :rule cnf_equiv_neg1 :args (@t634)) % 1.34/1.52 (step @p635 :rule reordering :premises (@p634) :args ((or @t629 @t633 @t634))) % 1.34/1.52 (step @p636 :rule refl :args (@t636)) % 1.34/1.52 (step @p637 :rule bool-double-not-elim :args (@t628)) % 1.34/1.52 (step @p638 :rule refl :args (@t21)) % 1.34/1.52 (step @p639 :rule nary_cong :premises (@p638 @p637 @p636) :args ((or @t21 (not @t632) @t636))) % 1.34/1.52 (assume-push @p749 @t7) % 1.34/1.52 (assume-push @p750 @t632) % 1.34/1.52 (assume-push @p751 @t632) % 1.34/1.52 (assume-push @p752 @t7) % 1.34/1.52 (step @p644 :rule false_intro :premises (@p750)) % 1.34/1.52 (step @p611 :rule refl :args (@t627)) % 1.34/1.52 (step @p612 :rule refl :args (tptp.v_b_H____)) % 1.34/1.52 (step @p613 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.34/1.52 (step @p614 :rule cong :premises (@p613 @p613 @p526 @p612) :args (@t612)) % 1.34/1.52 (step @p615 :rule refl :args (@t13)) % 1.34/1.52 (step @p616 :rule cong :premises (@p615 @p614 @p611) :args (@t633)) % 1.34/1.52 (step @p645 :rule trans :premises (@p616 @p644)) % 1.34/1.52 (step @p646 :rule false_elim :premises (@p645)) % 1.34/1.52 (step-pop @p753 :rule scope :premises (@p646)) % 1.34/1.52 (step-pop @p754 :rule scope :premises (@p753)) % 1.34/1.52 (step @p647 :rule process_scope :premises (@p754) :args (@t636)) % 1.34/1.52 (step @p650 :rule and_intro :premises (@p750 @p526)) % 1.34/1.52 (step @p651 :rule modus_ponens :premises (@p650 @p647)) % 1.34/1.52 (step-pop @p755 :rule scope :premises (@p651)) % 1.34/1.52 (step-pop @p756 :rule scope :premises (@p755)) % 1.34/1.52 (step @p652 :rule process_scope :premises (@p756) :args (@t636)) % 1.34/1.52 (step @p655 :rule implies_elim :premises (@p652)) % 1.34/1.52 (step @p656 :rule cnf_and_neg :args (@t637)) % 1.34/1.52 (step @p657 :rule resolution :premises (@p656 @p655) :args (true @t637)) % 1.34/1.52 (step @p658 :rule eq_resolve :premises (@p657 @p639)) % 1.34/1.52 (step @p659 :rule reordering :premises (@p658) :args ((or @t21 @t636 @t628))) % 1.34/1.52 (step @p660 :rule chain_m_resolution :premises (@p659 @p526 @p635 @p633 @p602 @p631) :args (@t634 (@list false false true false true) (@list @t7 @t633 @t629 @t630 @t628))) % 1.34/1.52 (step @p661 :rule refl :args (@t638)) % 1.34/1.52 (step @p662 :rule bool-double-not-elim :args (@t615)) % 1.34/1.52 (step @p663 :rule nary_cong :premises (@p662 @p661) :args ((or (not @t616) @t638))) % 1.34/1.52 (assume-push @p757 @t616) % 1.34/1.52 (step @p665 :rule skolemize :premises (@p757)) % 1.34/1.52 (step-pop @p758 :rule scope :premises (@p665)) % 1.34/1.52 (step @p666 :rule process_scope :premises (@p758) :args (@t638)) % 1.34/1.52 (step @p668 :rule implies_elim :premises (@p666)) % 1.34/1.52 (step @p669 :rule eq_resolve :premises (@p668 @p663)) % 1.34/1.52 (step @p670 :rule chain_m_resolution :premises (@p669 @p660) :args (@t615 @t625 (@list @t634))) % 1.34/1.52 (step @p671 :rule bool-eq-false :args (@t623)) % 1.34/1.52 (step @p672 :rule symm :premises (@p671)) % 1.34/1.52 (step @p673 :rule cong :premises (@p590) :args ((not @t620))) % 1.34/1.52 (step @p674 :rule bool-eq-false :args (@t620)) % 1.34/1.52 (step @p675 :rule trans :premises (@p674 @p673)) % 1.34/1.52 (step @p676 :rule trans :premises (@p675 @p672)) % 1.34/1.52 (step @p677 :rule symm :premises (@p5)) % 1.34/1.52 (step @p678 :rule false_intro :premises (@p677)) % 1.34/1.52 (step @p612 :rule refl :args (tptp.v_b_H____)) % 1.34/1.52 (step @p679 :rule cong :premises (@p612 @p526) :args (@t620)) % 1.34/1.52 (step @p680 :rule trans :premises (@p679 @p678)) % 1.34/1.52 (step @p681 :rule eq_resolve :premises (@p680 @p676)) % 1.34/1.52 (step @p682 :rule false_elim :premises (@p681)) % 1.34/1.52 (step @p683 :rule symm :premises (@p4)) % 1.34/1.52 (step @p684 :rule and_elim :premises (@p6) :args (0)) % 1.34/1.52 (step @p685 :rule cnf_or_pos :args (@t624)) % 1.34/1.52 (step @p686 :rule reordering :premises (@p685) :args ((or @t8 @t619 @t618 @t617 @t623 @t616 @t614 (not @t624)))) % 1.34/1.52 (step @p687 :rule chain_m_resolution :premises (@p686 @p684 @p683 @p10 @p11 @p682 @p670 @p601) :args (@t614 (@list true true false false true false false) (@list @t8 @t619 @t24 @t25 @t623 @t615 @t624))) % 1.34/1.52 (step @p688 :rule cnf_equiv_pos1 :args (@t614)) % 1.34/1.52 (step @p689 :rule reordering :premises (@p688) :args ((or @t640 @t613 @t639))) % 1.34/1.52 (step @p690 :rule refl :args (@t641)) % 1.34/1.52 (step @p691 :rule bool-double-not-elim :args (@t18)) % 1.34/1.52 (step @p692 :rule nary_cong :premises (@p638 @p691 @p690) :args ((or @t21 (not @t642) @t641))) % 1.34/1.52 (assume-push @p759 @t7) % 1.34/1.52 (assume-push @p760 @t642) % 1.34/1.52 (assume-push @p761 @t642) % 1.34/1.52 (assume-push @p762 @t7) % 1.34/1.52 (step @p697 :rule false_intro :premises (@p760)) % 1.34/1.52 (step @p698 :rule refl :args (@t17)) % 1.34/1.52 (step @p613 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.34/1.52 (step @p614 :rule cong :premises (@p613 @p613 @p526 @p612) :args (@t612)) % 1.34/1.52 (step @p615 :rule refl :args (@t13)) % 1.34/1.52 (step @p699 :rule cong :premises (@p615 @p614 @p698) :args (@t613)) % 1.34/1.52 (step @p700 :rule trans :premises (@p699 @p697)) % 1.34/1.52 (step @p701 :rule false_elim :premises (@p700)) % 1.34/1.52 (step-pop @p763 :rule scope :premises (@p701)) % 1.34/1.52 (step-pop @p764 :rule scope :premises (@p763)) % 1.34/1.52 (step @p702 :rule process_scope :premises (@p764) :args (@t641)) % 1.34/1.52 (step @p705 :rule and_intro :premises (@p760 @p526)) % 1.34/1.52 (step @p706 :rule modus_ponens :premises (@p705 @p702)) % 1.34/1.52 (step-pop @p765 :rule scope :premises (@p706)) % 1.34/1.52 (step-pop @p766 :rule scope :premises (@p765)) % 1.34/1.52 (step @p707 :rule process_scope :premises (@p766) :args (@t641)) % 1.34/1.52 (step @p710 :rule implies_elim :premises (@p707)) % 1.34/1.52 (step @p711 :rule cnf_and_neg :args (@t643)) % 1.34/1.52 (step @p712 :rule resolution :premises (@p711 @p710) :args (true @t643)) % 1.34/1.52 (step @p713 :rule eq_resolve :premises (@p712 @p692)) % 1.34/1.52 (step @p714 :rule chain_m_resolution :premises (@p713 @p526 @p689 @p687 @p527) :args (@t640 (@list false false false true) (@list @t7 @t613 @t614 @t18))) % 1.34/1.52 (step @p715 :rule not_equiv_elim1 :premises (@p524)) % 1.34/1.52 (step @p716 :rule chain_m_resolution :premises (@p715 @p714) :args (@t18 (@list true) (@list @t19))) % 1.34/1.52 (step @p717 :rule cnf_equiv_pos2 :args (@t614)) % 1.34/1.52 (step @p718 :rule reordering :premises (@p717) :args ((or @t19 @t641 @t639))) % 1.34/1.52 (step @p719 :rule chain_m_resolution :premises (@p718 @p714 @p687) :args (@t641 (@list true false) (@list @t19 @t614))) % 1.34/1.52 (assume-push @p767 @t7) % 1.34/1.52 (assume-push @p768 @t18) % 1.34/1.52 (assume-push @p769 @t18) % 1.34/1.52 (assume-push @p770 @t7) % 1.34/1.52 (step @p724 :rule true_intro :premises (@p768)) % 1.34/1.52 (step @p698 :rule refl :args (@t17)) % 1.34/1.52 (step @p613 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.34/1.52 (step @p614 :rule cong :premises (@p613 @p613 @p526 @p612) :args (@t612)) % 1.34/1.52 (step @p615 :rule refl :args (@t13)) % 1.34/1.52 (step @p699 :rule cong :premises (@p615 @p614 @p698) :args (@t613)) % 1.34/1.52 (step @p725 :rule trans :premises (@p699 @p724)) % 1.34/1.52 (step @p726 :rule true_elim :premises (@p725)) % 1.34/1.52 (step-pop @p771 :rule scope :premises (@p726)) % 1.34/1.52 (step-pop @p772 :rule scope :premises (@p771)) % 1.34/1.52 (step @p727 :rule process_scope :premises (@p772) :args (@t613)) % 1.34/1.52 (step @p730 :rule and_intro :premises (@p768 @p526)) % 1.34/1.52 (step @p731 :rule modus_ponens :premises (@p730 @p727)) % 1.34/1.52 (step-pop @p773 :rule scope :premises (@p731)) % 1.34/1.52 (step-pop @p774 :rule scope :premises (@p773)) % 1.34/1.52 (step @p732 :rule process_scope :premises (@p774) :args (@t613)) % 1.34/1.52 (step @p735 :rule implies_elim :premises (@p732)) % 1.34/1.52 (step @p736 :rule cnf_and_neg :args (@t644)) % 1.34/1.52 (step @p737 :rule resolution :premises (@p736 @p735) :args (true @t644)) % 1.34/1.52 (step @p738 false :rule chain_m_resolution :premises (@p737 @p719 @p716 @p526) :args (false (@list true false false) (@list @t613 @t18 @t7))) % 1.34/1.52 ) % 1.34/1.52 % SZS output end Proof % 1.34/1.52 % cvc5 exiting %------------------------------------------------------------------------------