%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT158+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 1.33s 1.52s % Output : Proof 1.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT158+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:32:19 EDT 2026 % 0.16/0.34 % CPUTime : % 0.48/0.64 %----Proving TF0_NAR, FOF, or CNF % 1.33/1.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.33/1.52 % SZS status Theorem % 1.33/1.52 % SZS output start Proof % 1.33/1.52 ( % 1.33/1.52 (declare-sort $$unsorted 0) % 1.33/1.52 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Equiv__Relations_Ocongruent2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.33/1.52 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Order__Relation_Owell__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Order__Relation_Opartial__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Order__Relation_Opreorder__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.v_a____ $$unsorted) % 1.33/1.52 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.33/1.52 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.v_P____ $$unsorted) % 1.33/1.52 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.v_F $$unsorted) % 1.33/1.52 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 1.33/1.52 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.v_b____ $$unsorted) % 1.33/1.52 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.v_b_H____ $$unsorted) % 1.33/1.52 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 1.33/1.52 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_member (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.v_a_H____ $$unsorted) % 1.33/1.52 (declare-const tptp.v_P_H____ $$unsorted) % 1.33/1.52 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 1.33/1.52 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Order__Relation_Olinear__order__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 1.33/1.52 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 1.33/1.52 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 1.33/1.52 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.33/1.52 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.33/1.52 (define @t3 () (@var "B_x" $$unsorted)) % 1.33/1.52 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.33/1.52 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.33/1.52 (define @t6 () (@list @t3)) % 1.33/1.52 (define @t7 () (= tptp.v_b____ tptp.v_a_H____)) % 1.33/1.52 (define @t8 () (= tptp.v_a____ tptp.v_b_H____)) % 1.33/1.52 (define @t9 () (@var "B_i" $$unsorted)) % 1.33/1.52 (define @t10 () (tptp.hAPP tptp.v_P_H____ @t9)) % 1.33/1.52 (define @t11 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a_H____ tptp.v_b_H____)) % 1.33/1.52 (define @t12 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.33/1.52 (define @t13 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_a____ tptp.v_b____)) % 1.33/1.52 (define @t14 () (tptp.c_member @t12 @t13 (tptp.hAPP tptp.v_P____ @t9))) % 1.33/1.52 (define @t15 () (@list @t9)) % 1.33/1.52 (define @t16 () (tptp.hAPP tptp.v_F tptp.v_P_H____)) % 1.33/1.52 (define @t17 () (tptp.c_member @t12 @t11 @t16)) % 1.33/1.52 (define @t18 () (tptp.c_member @t12 @t13 (tptp.hAPP tptp.v_F tptp.v_P____))) % 1.33/1.52 (define @t19 () (= @t18 @t17)) % 1.33/1.52 (define @t20 () (not @t7)) % 1.33/1.52 (define @t21 () (not @t8)) % 1.33/1.52 (define @t22 () (tptp.tc_fun @t12 tptp.tc_HOL_Obool)) % 1.33/1.52 (define @t23 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t22)) % 1.33/1.52 (define @t24 () (tptp.c_member @t23 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.33/1.52 (define @t25 () (tptp.c_member @t23 tptp.v_P_H____ tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.33/1.52 (define @t26 () (@var "V_B_2" $$unsorted)) % 1.33/1.52 (define @t27 () (@var "V_c_2" $$unsorted)) % 1.33/1.52 (define @t28 () (@var "T_a" $$unsorted)) % 1.33/1.52 (define @t29 () (tptp.c_member @t28 @t27 @t26)) % 1.33/1.52 (define @t30 () (@var "V_A_2" $$unsorted)) % 1.33/1.52 (define @t31 () (tptp.c_member @t28 @t27 @t30)) % 1.33/1.52 (define @t32 () (=> (not @t31) @t29)) % 1.33/1.52 (define @t33 () (not @t29)) % 1.33/1.52 (define @t34 () (=> @t31 @t33)) % 1.33/1.52 (define @t35 () (= @t30 @t26)) % 1.33/1.52 (define @t36 () (@var "V_L_2" $$unsorted)) % 1.33/1.52 (define @t37 () (@var "V_y_2" $$unsorted)) % 1.33/1.52 (define @t38 () (@var "V_x_2" $$unsorted)) % 1.33/1.52 (define @t39 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t37)) % 1.33/1.52 (define @t40 () (tptp.c_member @t12 @t39 @t36)) % 1.33/1.52 (define @t41 () (@var "V_z_2" $$unsorted)) % 1.33/1.52 (define @t42 () (= @t38 @t41)) % 1.33/1.52 (define @t43 () (not @t42)) % 1.33/1.52 (define @t44 () (= @t38 @t37)) % 1.33/1.52 (define @t45 () (not @t44)) % 1.33/1.52 (define @t46 () (= @t37 @t41)) % 1.33/1.52 (define @t47 () (not @t46)) % 1.33/1.52 (define @t48 () (@list @t41 @t36 @t37 @t38)) % 1.33/1.52 (define @t49 () (@var "V_R_2" $$unsorted)) % 1.33/1.52 (define @t50 () (@var "T_b" $$unsorted)) % 1.33/1.52 (define @t51 () (tptp.c_Product__Type_OPair @t28 @t50 @t38 @t37)) % 1.33/1.52 (define @t52 () (tptp.tc_prod @t28 @t50)) % 1.33/1.52 (define @t53 () (@var "V_Pa_2" $$unsorted)) % 1.33/1.52 (define @t54 () (tptp.c_Recdef_Osame__fst @t28 @t50 @t53 @t49)) % 1.33/1.52 (define @t55 () (@var "V_y_H_2" $$unsorted)) % 1.33/1.52 (define @t56 () (tptp.tc_prod @t52 @t52)) % 1.33/1.52 (define @t57 () (tptp.tc_prod @t50 @t50)) % 1.33/1.52 (define @t58 () (tptp.hAPP @t53 @t38)) % 1.33/1.52 (define @t59 () (tptp.hBOOL @t58)) % 1.33/1.52 (define @t60 () (@var "V_P_Ha_2" $$unsorted)) % 1.33/1.52 (define @t61 () (tptp.hAPP tptp.v_F @t60)) % 1.33/1.52 (define @t62 () (@var "V_aa_2" $$unsorted)) % 1.33/1.52 (define @t63 () (@var "V_ba_2" $$unsorted)) % 1.33/1.52 (define @t64 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t63 @t62)) % 1.33/1.52 (define @t65 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t63)) % 1.33/1.52 (define @t66 () (tptp.c_member @t12 @t65 (tptp.hAPP tptp.v_F @t53))) % 1.33/1.52 (define @t67 () (= @t66 (tptp.c_member @t12 @t64 @t61))) % 1.33/1.52 (define @t68 () (tptp.hAPP @t60 @t9)) % 1.33/1.52 (define @t69 () (tptp.c_member @t12 @t65 (tptp.hAPP @t53 @t9))) % 1.33/1.52 (define @t70 () (forall @t15 (= @t69 (tptp.c_member @t12 @t64 @t68)))) % 1.33/1.52 (define @t71 () (=> @t70 @t67)) % 1.33/1.52 (define @t72 () (tptp.c_member @t23 @t60 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.33/1.52 (define @t73 () (=> @t72 @t71)) % 1.33/1.52 (define @t74 () (tptp.c_member @t23 @t53 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.33/1.52 (define @t75 () (=> @t74 @t73)) % 1.33/1.52 (define @t76 () (= @t62 @t63)) % 1.33/1.52 (define @t77 () (not @t76)) % 1.33/1.52 (define @t78 () (=> @t77 @t75)) % 1.33/1.52 (define @t79 () (@list @t60 @t53 @t63 @t62)) % 1.33/1.52 (define @t80 () (forall @t79 @t78)) % 1.33/1.52 (define @t81 () (@var "V_r_2" $$unsorted)) % 1.33/1.52 (define @t82 () (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t3)) % 1.33/1.52 (define @t83 () (tptp.tc_prod @t28 @t28)) % 1.33/1.52 (define @t84 () (tptp.c_member @t83 @t82 @t81)) % 1.33/1.52 (define @t85 () (@list @t81 @t28)) % 1.33/1.52 (define @t86 () (@var "B_b" $$unsorted)) % 1.33/1.52 (define @t87 () (@var "B_a" $$unsorted)) % 1.33/1.52 (define @t88 () (tptp.c_Product__Type_OPair @t28 @t50 @t87 @t86)) % 1.33/1.52 (define @t89 () (@list @t87 @t86)) % 1.33/1.52 (define @t90 () (@var "B_x1" $$unsorted)) % 1.33/1.52 (define @t91 () (@var "V_b_Ha_2" $$unsorted)) % 1.33/1.52 (define @t92 () (@var "V_a_Ha_2" $$unsorted)) % 1.33/1.52 (define @t93 () (= @t62 @t92)) % 1.33/1.52 (define @t94 () (tptp.c_Product__Type_OPair @t28 @t50 @t92 @t91)) % 1.33/1.52 (define @t95 () (tptp.c_Product__Type_OPair @t28 @t50 @t62 @t63)) % 1.33/1.52 (define @t96 () (@var "V_b_H" $$unsorted)) % 1.33/1.52 (define @t97 () (@var "V_b" $$unsorted)) % 1.33/1.52 (define @t98 () (@var "V_a_H" $$unsorted)) % 1.33/1.52 (define @t99 () (@var "V_a" $$unsorted)) % 1.33/1.52 (define @t100 () (tptp.c_member @t28 @t62 @t30)) % 1.33/1.52 (define @t101 () (tptp.c_member @t28 @t63 @t30)) % 1.33/1.52 (define @t102 () (@list @t30 @t28 @t63 @t62)) % 1.33/1.52 (define @t103 () (tptp.c_member @t28 @t37 @t30)) % 1.33/1.52 (define @t104 () (tptp.c_member @t28 @t38 @t30)) % 1.33/1.52 (define @t105 () (tptp.c_member @t28 @t38 @t26)) % 1.33/1.52 (define @t106 () (tptp.hAPP @t30 @t38)) % 1.33/1.52 (define @t107 () (tptp.hBOOL @t106)) % 1.33/1.52 (define @t108 () (@list @t30 @t38 @t28)) % 1.33/1.52 (define @t109 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t63 @t27)) % 1.33/1.52 (define @t110 () (= @t62 @t27)) % 1.33/1.52 (define @t111 () (= @t63 @t27)) % 1.33/1.52 (define @t112 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t92 @t91)) % 1.33/1.52 (define @t113 () (tptp.c_member @t12 @t112 @t61)) % 1.33/1.52 (define @t114 () (forall @t15 (= @t69 (tptp.c_member @t12 @t112 @t68)))) % 1.33/1.52 (define @t115 () (not (= @t63 @t92))) % 1.33/1.52 (define @t116 () (not (= @t62 @t91))) % 1.33/1.52 (define @t117 () (not (= @t92 @t91))) % 1.33/1.52 (define @t118 () (@list @t60 @t53 @t91 @t92 @t63 @t62)) % 1.33/1.52 (define @t119 () (@var "V_f1_2" $$unsorted)) % 1.33/1.52 (define @t120 () (@var "T_c" $$unsorted)) % 1.33/1.52 (define @t121 () (tptp.c_Product__Type_OPair @t50 @t120 @t62 @t63)) % 1.33/1.52 (define @t122 () (@var "B_xa" $$unsorted)) % 1.33/1.52 (define @t123 () (@var "V_Fa_2" $$unsorted)) % 1.33/1.52 (define @t124 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t87 @t86)) % 1.33/1.52 (define @t125 () (tptp.hAPP @t123 @t3)) % 1.33/1.52 (define @t126 () (tptp.c_member @t12 @t124 @t125)) % 1.33/1.52 (define @t127 () (tptp.c_member @t12 @t124 (tptp.hAPP @t3 @t9))) % 1.33/1.52 (define @t128 () (@list @t122)) % 1.33/1.52 (define @t129 () (tptp.c_member @t23 @t3 tptp.c_Arrow__Order__Mirabelle_OProf)) % 1.33/1.52 (define @t130 () (@list @t123)) % 1.33/1.52 (define @t131 () (@var "V_s_2" $$unsorted)) % 1.33/1.52 (define @t132 () (@var "V_i_2" $$unsorted)) % 1.33/1.52 (define @t133 () (@var "B_z" $$unsorted)) % 1.33/1.52 (define @t134 () (@var "B_g" $$unsorted)) % 1.33/1.52 (define @t135 () (@var "V_a1_2" $$unsorted)) % 1.33/1.52 (define @t136 () (@list @t133)) % 1.33/1.52 (define @t137 () (forall @t136 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t133 @t135) @t49) (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t123 @t133 (tptp.hAPP @t134 @t133))))) % 1.33/1.52 (define @t138 () (tptp.hAPP (tptp.hAPP @t123 @t134) @t135)) % 1.33/1.52 (define @t139 () (@var "V_a2_2" $$unsorted)) % 1.33/1.52 (define @t140 () (tptp.hAPP (tptp.hAPP @t123 @t139) @t135)) % 1.33/1.52 (define @t141 () (@list @t134)) % 1.33/1.52 (define @t142 () (@list @t139 @t135 @t123 @t49 @t50 @t28)) % 1.33/1.52 (define @t143 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t28 @t50 tptp.tc_HOL_Obool @t2 @t62 @t63))) % 1.33/1.52 (define @t144 () (tptp.hBOOL (tptp.hAPP @t2 @t95))) % 1.33/1.52 (define @t145 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t133 @t38) @t49)) % 1.33/1.52 (define @t146 () (tptp.c_Wellfounded_Oacc @t28 @t81)) % 1.33/1.52 (define @t147 () (tptp.c_member @t28 @t3 @t146)) % 1.33/1.52 (define @t148 () (tptp.c_member @t28 @t62 @t146)) % 1.33/1.52 (define @t149 () (@list @t81 @t62 @t28)) % 1.33/1.52 (define @t150 () (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t63)) % 1.33/1.52 (define @t151 () (tptp.c_member @t83 @t150 @t81)) % 1.33/1.52 (define @t152 () (tptp.c_member @t28 @t63 @t146)) % 1.33/1.52 (define @t153 () (tptp.c_member @t22 @t36 tptp.c_Arrow__Order__Mirabelle_OLin)) % 1.33/1.52 (define @t154 () (@var "B_f" $$unsorted)) % 1.33/1.52 (define @t155 () (@var "B_R" $$unsorted)) % 1.33/1.52 (define @t156 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t62)) % 1.33/1.52 (define @t157 () (@var "B_y" $$unsorted)) % 1.33/1.52 (define @t158 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t157 @t38) @t81)) % 1.33/1.52 (define @t159 () (@list @t157)) % 1.33/1.52 (define @t160 () (tptp.hAPP @t2 @t38)) % 1.33/1.52 (define @t161 () (tptp.c_Recdef_Ocut @t28 @t50 @t2 @t81 @t62)) % 1.33/1.52 (define @t162 () (tptp.c_member @t83 @t156 @t81)) % 1.33/1.52 (define @t163 () (@list @t37 @t38 @t28)) % 1.33/1.52 (define @t164 () (@list @t38 @t36)) % 1.33/1.52 (define @t165 () (= @t38 @t62)) % 1.33/1.52 (define @t166 () (= @t37 @t63)) % 1.33/1.52 (define @t167 () (= @t37 @t62)) % 1.33/1.52 (define @t168 () (@list @t37 @t38 @t36 @t63 @t62)) % 1.33/1.52 (define @t169 () (= @t38 @t63)) % 1.33/1.52 (define @t170 () (@list @t36 @t37 @t38)) % 1.33/1.52 (define @t171 () (tptp.c_Wellfounded_Oacc @t28 @t49)) % 1.33/1.52 (define @t172 () (tptp.c_member @t28 @t38 @t146)) % 1.33/1.52 (define @t173 () (@list @t81 @t38 @t28)) % 1.33/1.52 (define @t174 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t81)) % 1.33/1.52 (define @t175 () (tptp.c_Product__Type_OPair @t28 @t28 @t63 @t62)) % 1.33/1.52 (define @t176 () (tptp.c_member @t83 @t175 @t174)) % 1.33/1.52 (define @t177 () (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t62)) % 1.33/1.52 (define @t178 () (@var "V_p_2" $$unsorted)) % 1.33/1.52 (define @t179 () (tptp.c_member @t83 @t178 @t81)) % 1.33/1.52 (define @t180 () (@list @t81 @t178 @t28)) % 1.33/1.52 (define @t181 () (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t27)) % 1.33/1.52 (define @t182 () (tptp.c_member @t83 @t181 @t174)) % 1.33/1.52 (define @t183 () (tptp.c_Product__Type_OPair @t28 @t28 @t63 @t27)) % 1.33/1.52 (define @t184 () (tptp.c_member @t83 @t183 @t174)) % 1.33/1.52 (define @t185 () (=> @t184 @t182)) % 1.33/1.52 (define @t186 () (@list @t27 @t81 @t63 @t62 @t28)) % 1.33/1.52 (define @t187 () (tptp.c_member @t83 @t183 @t81)) % 1.33/1.52 (define @t188 () (tptp.c_member @t83 @t150 @t174)) % 1.33/1.52 (define @t189 () (@var "B_L" $$unsorted)) % 1.33/1.52 (define @t190 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t49)) % 1.33/1.52 (define @t191 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t37)) % 1.33/1.52 (define @t192 () (tptp.c_member @t83 @t191 @t190)) % 1.33/1.52 (define @t193 () (tptp.c_Relation_ODomain @t28 @t50 @t81)) % 1.33/1.52 (define @t194 () (tptp.c_member @t28 @t62 @t193)) % 1.33/1.52 (define @t195 () (tptp.c_member @t52 @t95 @t81)) % 1.33/1.52 (define @t196 () (@list @t81 @t63 @t62 @t50 @t28)) % 1.33/1.52 (define @t197 () (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t62 @t157) @t81)) % 1.33/1.52 (define @t198 () (@list @t81 @t50 @t62 @t28)) % 1.33/1.52 (define @t199 () (tptp.c_Product__Type_OPair @t28 @t28 @t37 @t41)) % 1.33/1.52 (define @t200 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t41)) % 1.33/1.52 (define @t201 () (tptp.c_member @t83 @t200 @t174)) % 1.33/1.52 (define @t202 () (tptp.c_member @t83 @t191 @t174)) % 1.33/1.52 (define @t203 () (@var "V_by_2" $$unsorted)) % 1.33/1.52 (define @t204 () (@var "V_bx_2" $$unsorted)) % 1.33/1.52 (define @t205 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t204) @t203))) % 1.33/1.52 (define @t206 () (@var "B_ba" $$unsorted)) % 1.33/1.52 (define @t207 () (@var "B_aa" $$unsorted)) % 1.33/1.52 (define @t208 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t207) @t206))) % 1.33/1.52 (define @t209 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t87) @t86))) % 1.33/1.52 (define @t210 () (tptp.c_Product__Type_OPair @t28 @t50 @t207 @t206)) % 1.33/1.52 (define @t211 () (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t88 @t210) @t81)) % 1.33/1.52 (define @t212 () (tptp.c_Transitive__Closure_Ortrancl @t52 @t81)) % 1.33/1.52 (define @t213 () (@var "V_ay_2" $$unsorted)) % 1.33/1.52 (define @t214 () (@var "V_ax_2" $$unsorted)) % 1.33/1.52 (define @t215 () (tptp.c_Product__Type_OPair @t28 @t50 @t214 @t213)) % 1.33/1.52 (define @t216 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t214) @t213))) % 1.33/1.52 (define @t217 () (tptp.c_Product__Type_OPair @t28 @t50 @t204 @t203)) % 1.33/1.52 (define @t218 () (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t215 @t217) @t212)) % 1.33/1.52 (define @t219 () (@list @t53 @t81 @t203 @t204 @t213 @t214 @t50 @t28)) % 1.33/1.52 (define @t220 () (@var "V_zb_2" $$unsorted)) % 1.33/1.52 (define @t221 () (@var "V_za_2" $$unsorted)) % 1.33/1.52 (define @t222 () (tptp.c_Product__Type_OPair @t28 @t50 @t221 @t220)) % 1.33/1.52 (define @t223 () (@var "V_xb_2" $$unsorted)) % 1.33/1.52 (define @t224 () (@var "V_xa_2" $$unsorted)) % 1.33/1.52 (define @t225 () (tptp.c_Product__Type_OPair @t28 @t50 @t224 @t223)) % 1.33/1.52 (define @t226 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t157) @t174)) % 1.33/1.52 (define @t227 () (@list @t81 @t63 @t62 @t28)) % 1.33/1.52 (define @t228 () (@list @t3 @t157)) % 1.33/1.52 (define @t229 () (forall @t228 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t3 @t157) @t81) (forall @t136 (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t3 @t133) @t81) (= @t157 @t133)))))) % 1.33/1.52 (define @t230 () (tptp.c_Relation_Osingle__valued @t28 @t50 @t81)) % 1.33/1.52 (define @t231 () (@list @t81 @t50 @t28)) % 1.33/1.52 (define @t232 () (tptp.c_Relation_OId__on @t28 @t30)) % 1.33/1.52 (define @t233 () (@list @t30 @t37 @t38 @t28)) % 1.33/1.52 (define @t234 () (tptp.hBOOL (tptp.hAPP @t53 @t63))) % 1.33/1.52 (define @t235 () (tptp.hBOOL (tptp.hAPP @t53 @t133))) % 1.33/1.52 (define @t236 () (tptp.hBOOL (tptp.hAPP @t53 @t157))) % 1.33/1.52 (define @t237 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t157 @t133) @t81)) % 1.33/1.52 (define @t238 () (tptp.hBOOL (tptp.hAPP @t53 @t62))) % 1.33/1.52 (define @t239 () (@list @t53 @t81 @t63 @t62 @t28)) % 1.33/1.52 (define @t240 () (tptp.c_Product__Type_OPair @t28 @t28 @t157 @t41)) % 1.33/1.52 (define @t241 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t157) @t81)) % 1.33/1.52 (define @t242 () (@list @t81 @t41 @t38 @t28)) % 1.33/1.52 (define @t243 () (@list @t30 @t28)) % 1.33/1.52 (define @t244 () (tptp.tc_prod @t50 @t28)) % 1.33/1.52 (define @t245 () (tptp.c_Relation_ORange @t50 @t28 @t81)) % 1.33/1.52 (define @t246 () (tptp.c_member @t28 @t3 @t30)) % 1.33/1.52 (define @t247 () (tptp.c_member @t244 (tptp.c_Product__Type_OPair @t50 @t28 @t3 @t63) @t81)) % 1.33/1.52 (define @t248 () (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t122 @t3) @t81)) % 1.33/1.52 (define @t249 () (not (= @t3 @t122))) % 1.33/1.52 (define @t250 () (tptp.c_Relation_Ototal__on @t28 @t30 @t81)) % 1.33/1.52 (define @t251 () (@list @t81 @t30 @t28)) % 1.33/1.52 (define @t252 () (tptp.hAPP @t2 @t37)) % 1.33/1.52 (define @t253 () (tptp.c_member @t83 @t191 @t81)) % 1.33/1.52 (define @t254 () (tptp.c_Relation_Orefl__on @t28 @t30 @t81)) % 1.33/1.52 (define @t255 () (@list @t37 @t38 @t81 @t30 @t28)) % 1.33/1.52 (define @t256 () (tptp.c_member @t83 @t177 @t81)) % 1.33/1.52 (define @t257 () (@list @t62 @t81 @t30 @t28)) % 1.33/1.52 (define @t258 () (tptp.c_Transitive__Closure_Otrancl @t28 @t81)) % 1.33/1.52 (define @t259 () (tptp.c_member @t83 @t150 @t258)) % 1.33/1.52 (define @t260 () (tptp.c_member @t83 @t178 @t258)) % 1.33/1.52 (define @t261 () (tptp.c_Transitive__Closure_Otrancl @t28 @t49)) % 1.33/1.52 (define @t262 () (@list @t49 @t28)) % 1.33/1.52 (define @t263 () (tptp.c_Relation_ODomain @t28 @t28 @t81)) % 1.33/1.52 (define @t264 () (tptp.c_Relation_ORange @t28 @t28 @t81)) % 1.33/1.52 (define @t265 () (tptp.c_member @t83 @t181 @t258)) % 1.33/1.52 (define @t266 () (=> (tptp.c_member @t83 @t183 @t258) @t265)) % 1.33/1.52 (define @t267 () (=> @t187 @t265)) % 1.33/1.52 (define @t268 () (tptp.c_member @t83 @t191 @t261)) % 1.33/1.52 (define @t269 () (@list @t49 @t37 @t38 @t28)) % 1.33/1.52 (define @t270 () (=> @t184 @t265)) % 1.33/1.52 (define @t271 () (tptp.c_member @t83 @t200 @t258)) % 1.33/1.52 (define @t272 () (tptp.c_Product__Type_OPair @t28 @t28 @t133 @t37)) % 1.33/1.52 (define @t273 () (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t133)) % 1.33/1.52 (define @t274 () (forall @t6 (not (tptp.c_member @t83 @t82 @t258)))) % 1.33/1.52 (define @t275 () (tptp.c_Wellfounded_Oacyclic @t28 @t81)) % 1.33/1.52 (define @t276 () (@var "B_c" $$unsorted)) % 1.33/1.52 (define @t277 () (tptp.c_Relation_OId @t28)) % 1.33/1.52 (define @t278 () (@list @t62 @t28)) % 1.33/1.52 (define @t279 () (@list @t28)) % 1.33/1.52 (define @t280 () (@list @t63 @t62 @t28)) % 1.33/1.52 (define @t281 () (not @t202)) % 1.33/1.52 (define @t282 () (tptp.c_Product__Type_OPair @t28 @t28 @t37 @t38)) % 1.33/1.52 (define @t283 () (tptp.c_Set_Oinsert @t83 @t282 @t81)) % 1.33/1.52 (define @t284 () (@list @t81 @t38 @t37 @t28)) % 1.33/1.52 (define @t285 () (tptp.tc_fun @t83 tptp.tc_HOL_Obool)) % 1.33/1.52 (define @t286 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t81 @t277)) % 1.33/1.52 (define @t287 () (tptp.c_member @t83 @t175 @t81)) % 1.33/1.52 (define @t288 () (tptp.c_Relation_Oantisym @t28 @t81)) % 1.33/1.52 (define @t289 () (@list @t63 @t62 @t81 @t28)) % 1.33/1.52 (define @t290 () (tptp.hAPP @t26 @t38)) % 1.33/1.52 (define @t291 () (tptp.hBOOL @t290)) % 1.33/1.52 (define @t292 () (tptp.tc_fun @t28 tptp.tc_HOL_Obool)) % 1.33/1.52 (define @t293 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t26)) % 1.33/1.52 (define @t294 () (tptp.hBOOL (tptp.hAPP @t293 @t38))) % 1.33/1.52 (define @t295 () (@list @t38 @t26 @t30 @t28)) % 1.33/1.52 (define @t296 () (not @t291)) % 1.33/1.52 (define @t297 () (tptp.c_member @t28 @t62 (tptp.c_Set_Oinsert @t28 @t63 @t30))) % 1.33/1.52 (define @t298 () (@list @t30 @t63 @t62 @t28)) % 1.33/1.52 (define @t299 () (tptp.c_Set_Oinsert @t28 @t63 @t26)) % 1.33/1.52 (define @t300 () (tptp.c_member @t28 @t62 @t299)) % 1.33/1.52 (define @t301 () (tptp.c_member @t28 @t62 @t26)) % 1.33/1.52 (define @t302 () (@list @t63 @t26 @t62 @t28)) % 1.33/1.52 (define @t303 () (tptp.c_member @t28 @t27 @t293)) % 1.33/1.52 (define @t304 () (@list @t26 @t30 @t27 @t28)) % 1.33/1.52 (define @t305 () (@list @t30 @t26 @t27 @t28)) % 1.33/1.52 (define @t306 () (tptp.c_Relation_ORange @t50 @t28 @t26)) % 1.33/1.52 (define @t307 () (tptp.c_Relation_ORange @t50 @t28 @t30)) % 1.33/1.52 (define @t308 () (tptp.tc_fun @t244 tptp.tc_HOL_Obool)) % 1.33/1.52 (define @t309 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t26 @t30)) % 1.33/1.52 (define @t310 () (@list @t26 @t30 @t28)) % 1.33/1.52 (define @t311 () (tptp.c_Set_Oinsert @t28 @t38 @t30)) % 1.33/1.52 (define @t312 () (tptp.c_Set_Oinsert @t28 @t37 @t30)) % 1.33/1.52 (define @t313 () (tptp.c_Set_Oinsert @t28 @t62 @t26)) % 1.33/1.52 (define @t314 () (@var "V_C_2" $$unsorted)) % 1.33/1.52 (define @t315 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t314)) % 1.33/1.52 (define @t316 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t26 @t314)) % 1.33/1.52 (define @t317 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t316)) % 1.33/1.52 (define @t318 () (@list @t314 @t26 @t30 @t28)) % 1.33/1.52 (define @t319 () (tptp.hBOOL (tptp.hAPP @t53 @t3))) % 1.33/1.52 (define @t320 () (tptp.c_member @t28 @t3 @t26)) % 1.33/1.52 (define @t321 () (tptp.c_member @t28 @t3 @t293)) % 1.33/1.52 (define @t322 () (@list @t53 @t26 @t30 @t28)) % 1.33/1.52 (define @t323 () (tptp.c_Relation_ODomain @t28 @t50 @t26)) % 1.33/1.52 (define @t324 () (tptp.c_Relation_ODomain @t28 @t50 @t30)) % 1.33/1.52 (define @t325 () (tptp.tc_fun @t52 tptp.tc_HOL_Obool)) % 1.33/1.52 (define @t326 () (@list @t26 @t30 @t50 @t28)) % 1.33/1.52 (define @t327 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t81 @t131)) % 1.33/1.52 (define @t328 () (tptp.c_Relation_Orefl__on @t28 @t26 @t131)) % 1.33/1.52 (define @t329 () (@list @t131 @t26 @t81 @t30 @t28)) % 1.33/1.52 (define @t330 () (tptp.c_Product__Type_OPair @t50 @t28 @t62 @t63)) % 1.33/1.52 (define @t331 () (tptp.c_Set_Oinsert @t28 @t38 @t26)) % 1.33/1.52 (define @t332 () (not @t104)) % 1.33/1.52 (define @t333 () (@list @t26 @t30 @t38 @t28)) % 1.33/1.52 (define @t334 () (tptp.c_Set_Oinsert @t28 @t62 @t30)) % 1.33/1.52 (define @t335 () (@list @t30 @t62 @t28)) % 1.33/1.52 (define @t336 () (@var "V_S_2" $$unsorted)) % 1.33/1.52 (define @t337 () (tptp.c_Transitive__Closure_Ortrancl @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t49 @t336))) % 1.33/1.52 (define @t338 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t336)) % 1.33/1.52 (define @t339 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t190 @t338)) % 1.33/1.52 (define @t340 () (@list @t336 @t49 @t28)) % 1.33/1.52 (define @t341 () (= @t3 @t157)) % 1.33/1.52 (define @t342 () (tptp.c_Product__Type_OPair @t28 @t28 @t157 @t3)) % 1.33/1.52 (define @t343 () (tptp.c_member @t83 @t342 @t81)) % 1.33/1.52 (define @t344 () (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t157)) % 1.33/1.52 (define @t345 () (forall @t228 (=> (tptp.c_member @t83 @t344 @t81) (=> @t343 @t341)))) % 1.33/1.52 (define @t346 () (tptp.hAPP @t1 @t38)) % 1.33/1.52 (define @t347 () (tptp.tc_fun @t50 @t28)) % 1.33/1.52 (define @t348 () (tptp.class_Lattices_Olattice @t28)) % 1.33/1.52 (define @t349 () (@list @t38 @t1 @t2 @t50 @t28)) % 1.33/1.52 (define @t350 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t53)) % 1.33/1.52 (define @t351 () (tptp.c_member @t83 @t150 @t350)) % 1.33/1.52 (define @t352 () (@var "V_Q_2" $$unsorted)) % 1.33/1.52 (define @t353 () (tptp.c_member @t83 @t150 (tptp.c_Transitive__Closure_Ortrancl @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t53 @t352)))) % 1.33/1.52 (define @t354 () (@list @t352 @t53 @t63 @t62 @t28)) % 1.33/1.52 (define @t355 () (tptp.c_Wellfounded_Owf @t28 @t81)) % 1.33/1.52 (define @t356 () (tptp.c_Relation_OField @t28 @t81)) % 1.33/1.52 (define @t357 () (@var "V_rb_2" $$unsorted)) % 1.33/1.52 (define @t358 () (@var "V_ra_2" $$unsorted)) % 1.33/1.52 (define @t359 () (@list @t38 @t81 @t28)) % 1.33/1.52 (define @t360 () (tptp.c_Relation_OField @t28 @t131)) % 1.33/1.52 (define @t361 () (@list @t131 @t81 @t28)) % 1.33/1.52 (define @t362 () (tptp.class_Lattices_Osemilattice__sup @t28)) % 1.33/1.52 (define @t363 () (@list @t99 @t28)) % 1.33/1.52 (define @t364 () (@var "V_x" $$unsorted)) % 1.33/1.52 (define @t365 () (@list @t364 @t28)) % 1.33/1.52 (define @t366 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t99 @t97)) % 1.33/1.52 (define @t367 () (@list @t97 @t99 @t28)) % 1.33/1.52 (define @t368 () (@var "V_y" $$unsorted)) % 1.33/1.52 (define @t369 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t364)) % 1.33/1.52 (define @t370 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t368)) % 1.33/1.52 (define @t371 () (= @t370 @t369)) % 1.33/1.52 (define @t372 () (@list @t368 @t364 @t28)) % 1.33/1.52 (define @t373 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t370) @t370)) % 1.33/1.52 (define @t374 () (@var "V_c" $$unsorted)) % 1.33/1.52 (define @t375 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t99 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t97 @t374))) % 1.33/1.52 (define @t376 () (@list @t374 @t99 @t97 @t28)) % 1.33/1.52 (define @t377 () (@var "V_z" $$unsorted)) % 1.33/1.52 (define @t378 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t377)) % 1.33/1.52 (define @t379 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t377)) % 1.33/1.52 (define @t380 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t379)) % 1.33/1.52 (define @t381 () (= @t380 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t368 @t378))) % 1.33/1.52 (define @t382 () (@list @t377 @t368 @t364 @t28)) % 1.33/1.52 (define @t383 () (@list @t374 @t97 @t99 @t28)) % 1.33/1.52 (define @t384 () (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t370 @t377) @t380)) % 1.33/1.52 (define @t385 () (@var "V_H_2" $$unsorted)) % 1.33/1.52 (define @t386 () (tptp.hAPP @t2 @t62)) % 1.33/1.52 (define @t387 () (tptp.c_Recdef_Owfrec @t28 @t50 @t81 @t385)) % 1.33/1.52 (define @t388 () (@var "B_M" $$unsorted)) % 1.33/1.52 (define @t389 () (tptp.c_Recdef_Owfrec @t28 @t50 @t155 @t388)) % 1.33/1.52 (define @t390 () (tptp.c_Orderings_Obot__class_Obot @t292)) % 1.33/1.52 (define @t391 () (tptp.c_Set_Oinsert @t28 @t63 @t390)) % 1.33/1.52 (define @t392 () (tptp.c_Set_Oinsert @t28 @t62 @t391)) % 1.33/1.52 (define @t393 () (tptp.c_Orderings_Obot__class_Obot @t285)) % 1.33/1.52 (define @t394 () (tptp.c_Orderings_Obot__class_Obot @t308)) % 1.33/1.52 (define @t395 () (@list @t81 @t28 @t50)) % 1.33/1.52 (define @t396 () (tptp.c_Orderings_Obot__class_Obot @t325)) % 1.33/1.52 (define @t397 () (= @t30 @t390)) % 1.33/1.52 (define @t398 () (not @t246)) % 1.33/1.52 (define @t399 () (not @t100)) % 1.33/1.52 (define @t400 () (@var "V_d_2" $$unsorted)) % 1.33/1.52 (define @t401 () (tptp.c_Set_Oinsert @t28 @t62 @t390)) % 1.33/1.52 (define @t402 () (@list @t26 @t28)) % 1.33/1.52 (define @t403 () (tptp.c_Orderings_Obot__class_Obot @t28)) % 1.33/1.52 (define @t404 () (tptp.class_Lattices_Obounded__lattice__bot @t28)) % 1.33/1.52 (define @t405 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t38 @t37)) % 1.33/1.52 (define @t406 () (= @t63 @t62)) % 1.33/1.52 (define @t407 () (tptp.c_member @t28 @t63 @t401)) % 1.33/1.52 (define @t408 () (@list @t62 @t63 @t28)) % 1.33/1.52 (define @t409 () (tptp.c_Set_Oinsert @t28 @t38 @t390)) % 1.33/1.52 (define @t410 () (tptp.class_Orderings_Obot @t28)) % 1.33/1.52 (define @t411 () (@var "B_Q" $$unsorted)) % 1.33/1.52 (define @t412 () (tptp.c_member @t28 @t3 @t411)) % 1.33/1.52 (define @t413 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t26)) % 1.33/1.52 (define @t414 () (tptp.hBOOL (tptp.hAPP @t413 @t38))) % 1.33/1.52 (define @t415 () (tptp.c_member @t28 @t27 @t413)) % 1.33/1.52 (define @t416 () (tptp.c_member @t28 @t122 @t26)) % 1.33/1.52 (define @t417 () (tptp.c_Set_Oinsert @t28 @t62 @t413)) % 1.33/1.52 (define @t418 () (@list @t26 @t30 @t62 @t28)) % 1.33/1.52 (define @t419 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t314)) % 1.33/1.52 (define @t420 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t316)) % 1.33/1.52 (define @t421 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t26 @t314)) % 1.33/1.52 (define @t422 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t314 @t30)) % 1.33/1.52 (define @t423 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t26 @t30)) % 1.33/1.52 (define @t424 () (@list @t30 @t314 @t26 @t28)) % 1.33/1.52 (define @t425 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t314 @t30)) % 1.33/1.52 (define @t426 () (@var "V_r_H_2" $$unsorted)) % 1.33/1.52 (define @t427 () (@list @t426 @t81 @t28)) % 1.33/1.52 (define @t428 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t421)) % 1.33/1.52 (define @t429 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t377)) % 1.33/1.52 (define @t430 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t429)) % 1.33/1.52 (define @t431 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t368)) % 1.33/1.52 (define @t432 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t431 @t377) @t430)) % 1.33/1.52 (define @t433 () (tptp.class_Lattices_Osemilattice__inf @t28)) % 1.33/1.52 (define @t434 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t99 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t97 @t374))) % 1.33/1.52 (define @t435 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t99 @t97)) % 1.33/1.52 (define @t436 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t377)) % 1.33/1.52 (define @t437 () (= @t430 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t436))) % 1.33/1.52 (define @t438 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t431) @t431)) % 1.33/1.52 (define @t439 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t368 @t364)) % 1.33/1.52 (define @t440 () (= @t431 @t439)) % 1.33/1.52 (define @t441 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t431 @t436)) % 1.33/1.52 (define @t442 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t379)) % 1.33/1.52 (define @t443 () (tptp.class_Lattices_Odistrib__lattice @t28)) % 1.33/1.52 (define @t444 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t370 @t378)) % 1.33/1.52 (define @t445 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t429)) % 1.33/1.52 (define @t446 () (@list @t364 @t377 @t368 @t28)) % 1.33/1.52 (define @t447 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t313)) % 1.33/1.52 (define @t448 () (=> @t399 (= @t447 @t413))) % 1.33/1.52 (define @t449 () (=> @t100 (= @t447 @t417))) % 1.33/1.52 (define @t450 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t313 @t314)) % 1.33/1.52 (define @t451 () (tptp.c_member @t28 @t62 @t314)) % 1.33/1.52 (define @t452 () (=> (not @t451) (= @t450 @t421))) % 1.33/1.52 (define @t453 () (=> @t451 (= @t450 (tptp.c_Set_Oinsert @t28 @t62 @t421)))) % 1.33/1.52 (define @t454 () (@list @t26 @t314 @t62 @t28)) % 1.33/1.52 (define @t455 () (tptp.c_Relation_Oconverse @t28 @t28 @t81)) % 1.33/1.52 (define @t456 () (tptp.tc_fun @t50 tptp.tc_HOL_Obool)) % 1.33/1.52 (define @t457 () (tptp.c_Orderings_Obot__class_Obot @t456)) % 1.33/1.52 (define @t458 () (tptp.c_Wellfounded_Owf @t28 @t49)) % 1.33/1.52 (define @t459 () (tptp.c_Relation_OImage @t28 @t28 @t81 @t391)) % 1.33/1.52 (define @t460 () (tptp.c_Relation_OImage @t28 @t28 @t81 @t401)) % 1.33/1.52 (define @t461 () (= @t460 @t459)) % 1.33/1.52 (define @t462 () (tptp.c_member @t28 @t63 @t356)) % 1.33/1.52 (define @t463 () (tptp.c_member @t28 @t62 @t356)) % 1.33/1.52 (define @t464 () (=> @t463 (=> @t462 (= @t461 @t76)))) % 1.33/1.52 (define @t465 () (tptp.c_Relation_OImage @t50 @t28 @t49 @t26)) % 1.33/1.52 (define @t466 () (tptp.c_Relation_OImage @t50 @t28 @t49 @t30)) % 1.33/1.52 (define @t467 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t466 @t465)) % 1.33/1.52 (define @t468 () (tptp.c_Relation_OImage @t50 @t28 @t49 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t456 @t30 @t26))) % 1.33/1.52 (define @t469 () (@list @t26 @t30 @t49 @t50 @t28)) % 1.33/1.52 (define @t470 () (tptp.c_Relation_Oconverse @t50 @t28 @t131)) % 1.33/1.52 (define @t471 () (tptp.c_Relation_Oconverse @t50 @t28 @t81)) % 1.33/1.52 (define @t472 () (@list @t131 @t81 @t28 @t50)) % 1.33/1.52 (define @t473 () (tptp.c_Relation_Oconverse @t28 @t50 @t81)) % 1.33/1.52 (define @t474 () (tptp.c_Relation_Oconverse @t28 @t28 @t258)) % 1.33/1.52 (define @t475 () (tptp.c_Transitive__Closure_Otrancl @t28 @t455)) % 1.33/1.52 (define @t476 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t455)) % 1.33/1.52 (define @t477 () (tptp.c_Product__Type_OPair @t50 @t28 @t63 @t62)) % 1.33/1.52 (define @t478 () (tptp.c_member @t244 @t477 @t81)) % 1.33/1.52 (define @t479 () (tptp.c_member @t52 @t95 @t471)) % 1.33/1.52 (define @t480 () (tptp.c_Relation_ODomain @t28 @t50 @t471)) % 1.33/1.52 (define @t481 () (tptp.c_member @t50 @t3 @t30)) % 1.33/1.52 (define @t482 () (tptp.c_member @t28 @t63 (tptp.c_Relation_OImage @t50 @t28 @t81 @t30))) % 1.33/1.52 (define @t483 () (@list @t30 @t81 @t50 @t63 @t28)) % 1.33/1.52 (define @t484 () (tptp.c_Relation_OImage @t28 @t50 @t81 @t30)) % 1.33/1.52 (define @t485 () (tptp.c_member @t83 @t191 @t476)) % 1.33/1.52 (define @t486 () (tptp.c_member @t83 @t282 @t174)) % 1.33/1.52 (define @t487 () (@list @t81 @t37 @t38 @t28)) % 1.33/1.52 (define @t488 () (tptp.c_member @t83 @t191 @t475)) % 1.33/1.52 (define @t489 () (tptp.c_member @t83 @t191 @t474)) % 1.33/1.52 (define @t490 () (tptp.c_Order__Relation_Opartial__order__on @t28 @t30 @t81)) % 1.33/1.52 (define @t491 () (tptp.c_Order__Relation_Olinear__order__on @t28 @t30 @t81)) % 1.33/1.52 (define @t492 () (tptp.c_Order__Relation_Opreorder__on @t28 @t30 @t81)) % 1.33/1.52 (define @t493 () (tptp.c_Equiv__Relations_Oequiv @t28 @t30 @t81)) % 1.33/1.52 (define @t494 () (@list @t63 @t62 @t81 @t30 @t28)) % 1.33/1.52 (define @t495 () (=> @t101 @t151)) % 1.33/1.52 (define @t496 () (tptp.c_Set_Oinsert @t28 @t37 @t390)) % 1.33/1.52 (define @t497 () (tptp.c_Relation_OImage @t28 @t28 @t81 @t409)) % 1.33/1.52 (define @t498 () (= @t497 (tptp.c_Relation_OImage @t28 @t28 @t81 @t496))) % 1.33/1.52 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t460 @t459)) % 1.33/1.52 (define @t500 () (tptp.c_Order__Relation_Opreorder__on @t28 @t356 @t81)) % 1.33/1.52 (define @t501 () (tptp.c_Equiv__Relations_Oquotient @t28 @t409 @t81)) % 1.33/1.52 (define @t502 () (tptp.class_Orderings_Opreorder @t28)) % 1.33/1.52 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t26 @t30)) % 1.33/1.52 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t26)) % 1.33/1.52 (define @t505 () (=> @t31 @t29)) % 1.33/1.52 (define @t506 () (tptp.c_Orderings_Obot__class_Obot (tptp.tc_fun @t292 tptp.tc_HOL_Obool))) % 1.33/1.52 (define @t507 () (tptp.c_Equiv__Relations_Oquotient @t28 @t30 @t81)) % 1.33/1.52 (define @t508 () (@var "V_D_2" $$unsorted)) % 1.33/1.52 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t26 @t508)) % 1.33/1.52 (define @t510 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t314)) % 1.33/1.52 (define @t511 () (@list @t508 @t26 @t314 @t30 @t28)) % 1.33/1.52 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t314 @t30)) % 1.33/1.52 (define @t513 () (@list @t30 @t26 @t28)) % 1.33/1.52 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t97)) % 1.33/1.52 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t99)) % 1.33/1.52 (define @t516 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t435)) % 1.33/1.52 (define @t517 () (@list @t97 @t99 @t364 @t28)) % 1.33/1.52 (define @t518 () (@var "V_d" $$unsorted)) % 1.33/1.52 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t97 @t518)) % 1.33/1.52 (define @t520 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t99 @t374)) % 1.33/1.52 (define @t521 () (@list @t518 @t97 @t374 @t99 @t28)) % 1.33/1.52 (define @t522 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t377)) % 1.33/1.52 (define @t523 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t368)) % 1.33/1.52 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t364)) % 1.33/1.52 (define @t525 () (@list @t364 @t368 @t28)) % 1.33/1.52 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t435 @t364)) % 1.33/1.52 (define @t527 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t97 @t364)) % 1.33/1.52 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t99 @t364)) % 1.33/1.52 (define @t529 () (@list @t97 @t364 @t99 @t28)) % 1.33/1.52 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t38 @t41)) % 1.33/1.52 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t38 @t37)) % 1.33/1.52 (define @t532 () (@list @t41 @t37 @t38 @t28)) % 1.33/1.52 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t431 @t368)) % 1.33/1.52 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t431 @t364)) % 1.33/1.52 (define @t535 () (@var "V_A_H_2" $$unsorted)) % 1.33/1.52 (define @t536 () (tptp.c_Orderings_Oord__class_Oless__eq @t325 @t81 @t131)) % 1.33/1.52 (define @t537 () (@list @t131 @t81 @t50 @t28)) % 1.33/1.52 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t370)) % 1.33/1.52 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t370)) % 1.33/1.52 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t366)) % 1.33/1.52 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t366 @t364)) % 1.33/1.52 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t377 @t364)) % 1.33/1.52 (define @t543 () (@list @t377 @t364 @t368 @t28)) % 1.33/1.52 (define @t544 () (= @t293 @t26)) % 1.33/1.52 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t26 @t314)) % 1.33/1.52 (define @t546 () (tptp.c_Transitive__Closure_Ortrancl @t28 @t131)) % 1.33/1.52 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t174 @t546)) % 1.33/1.52 (define @t548 () (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t81 @t131)) % 1.33/1.52 (define @t549 () (@list @t178 @t81 @t28)) % 1.33/1.52 (define @t550 () (@list @t28 @t26 @t30)) % 1.33/1.52 (define @t551 () (tptp.hAPP @t352 @t38)) % 1.33/1.52 (define @t552 () (tptp.hBOOL @t551)) % 1.33/1.52 (define @t553 () (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t53 @t352)) % 1.33/1.52 (define @t554 () (@var "V_R1_2" $$unsorted)) % 1.33/1.52 (define @t555 () (@var "V_R2_2" $$unsorted)) % 1.33/1.52 (define @t556 () (tptp.class_Orderings_Olinorder @t28)) % 1.33/1.52 (define @t557 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t28 @t50) @t2 @t1)) % 1.33/1.52 (define @t558 () (tptp.class_Orderings_Oord @t50)) % 1.33/1.52 (define @t559 () (tptp.class_Orderings_Oorder @t28)) % 1.33/1.52 (define @t560 () (= @t364 @t368)) % 1.33/1.52 (define @t561 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t374 @t99)) % 1.33/1.52 (define @t562 () (= @t97 @t374)) % 1.33/1.52 (define @t563 () (tptp.class_Orderings_Oord @t28)) % 1.33/1.52 (define @t564 () (= @t99 @t97)) % 1.33/1.52 (define @t565 () (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t37 @t38)) % 1.33/1.52 (define @t566 () (@var "V_X_2" $$unsorted)) % 1.33/1.52 (define @t567 () (@var "V_Y_2" $$unsorted)) % 1.33/1.52 (define @t568 () (= @t566 @t567)) % 1.33/1.52 (define @t569 () (tptp.c_member @t292 @t567 @t507)) % 1.33/1.52 (define @t570 () (tptp.c_member @t292 @t566 @t507)) % 1.33/1.52 (define @t571 () (tptp.c_member @t28 @t37 @t567)) % 1.33/1.52 (define @t572 () (tptp.c_member @t28 @t38 @t566)) % 1.33/1.52 (define @t573 () (@list @t37 @t38 @t567 @t566 @t81 @t30 @t28)) % 1.33/1.52 (define @t574 () (tptp.c_Wellfounded_Omlex__prod @t28 @t2 @t49)) % 1.33/1.52 (define @t575 () (tptp.hBOOL (tptp.hAPP @t551 @t37))) % 1.33/1.52 (define @t576 () (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t28 @t456) @t53 @t352)) % 1.33/1.52 (define @t577 () (tptp.hBOOL (tptp.hAPP @t58 @t37))) % 1.33/1.52 (define @t578 () (@var "V_r2_2" $$unsorted)) % 1.33/1.52 (define @t579 () (@var "V_r1_2" $$unsorted)) % 1.33/1.52 (define @t580 () (tptp.c_Groups_Ominus__class_Ominus @t292 @t30 @t26)) % 1.33/1.52 (define @t581 () (tptp.c_member @t28 @t27 @t580)) % 1.33/1.52 (define @t582 () (tptp.c_Groups_Ominus__class_Ominus @t292 @t26 @t30)) % 1.33/1.52 (define @t583 () (tptp.c_Groups_Ominus__class_Ominus @t292 @t30 @t314)) % 1.33/1.52 (define @t584 () (@var "T_1" $$unsorted)) % 1.33/1.52 (define @t585 () (@var "T_2" $$unsorted)) % 1.33/1.52 (define @t586 () (tptp.tc_fun @t585 @t584)) % 1.33/1.52 (define @t587 () (tptp.class_Lattices_Obounded__lattice @t584)) % 1.33/1.52 (define @t588 () (@list @t585 @t584)) % 1.33/1.52 (define @t589 () (tptp.class_Lattices_Olattice @t584)) % 1.33/1.52 (define @t590 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t38) @t37))) % 1.33/1.52 (define @t591 () (@list @t37 @t38)) % 1.33/1.52 (define @t592 () (not @t70)) % 1.33/1.52 (define @t593 () (not @t72)) % 1.33/1.52 (define @t594 () (not @t74)) % 1.33/1.52 (define @t595 () (or @t594 @t593 @t592 @t67)) % 1.33/1.52 (define @t596 () (or @t593 @t592 @t67)) % 1.33/1.52 (define @t597 () (not @t406)) % 1.33/1.52 (define @t598 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.v_b____ tptp.v_a____)) % 1.33/1.52 (define @t599 () (forall @t15 (= @t14 (tptp.c_member @t12 @t598 @t10)))) % 1.33/1.52 (define @t600 () (@quantifiers_skolemize @t599 0)) % 1.33/1.52 (define @t601 () (tptp.hAPP tptp.v_P_H____ @t600)) % 1.33/1.52 (define @t602 () (tptp.c_member @t12 @t11 @t601)) % 1.33/1.52 (define @t603 () (tptp.c_member @t12 @t13 (tptp.hAPP tptp.v_P____ @t600))) % 1.33/1.52 (define @t604 () (= @t603 @t602)) % 1.33/1.52 (define @t605 () (not @t604)) % 1.33/1.52 (define @t606 () (not @t602)) % 1.33/1.52 (define @t607 () (tptp.c_member @t12 @t598 @t601)) % 1.33/1.52 (define @t608 () (= @t603 @t607)) % 1.33/1.52 (define @t609 () (and @t8 @t7 @t602)) % 1.33/1.52 (define @t610 () (@list false false true false false)) % 1.33/1.52 (define @t611 () (not @t607)) % 1.33/1.52 (define @t612 () (and @t8 @t7 @t606)) % 1.33/1.52 (define @t613 () (not @t608)) % 1.33/1.52 (define @t614 () (not @t599)) % 1.33/1.52 (define @t615 () (@list false)) % 1.33/1.52 (define @t616 () (tptp.c_member @t12 @t598 @t16)) % 1.33/1.52 (define @t617 () (= @t18 @t616)) % 1.33/1.52 (define @t618 () (not @t25)) % 1.33/1.52 (define @t619 () (not @t24)) % 1.33/1.52 (define @t620 () (= tptp.v_b____ tptp.v_a____)) % 1.33/1.52 (define @t621 () (or @t620 @t619 @t618 @t614 @t617)) % 1.33/1.52 (define @t622 () (not @t617)) % 1.33/1.52 (define @t623 () (not @t616)) % 1.33/1.52 (define @t624 () (and @t8 @t7 @t17)) % 1.33/1.52 (define @t625 () (not @t17)) % 1.33/1.52 (define @t626 () (and @t8 @t7 @t625)) % 1.33/1.52 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.33/1.52 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 1.33/1.52 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 1.33/1.52 (assume @p4 (not (= tptp.v_a____ tptp.v_b____))) % 1.33/1.52 (assume @p5 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 1.33/1.52 (assume @p6 (and @t8 @t7)) % 1.33/1.52 (assume @p7 (forall @t15 (= @t14 (tptp.c_member @t12 @t11 @t10)))) % 1.33/1.52 (assume @p8 (=> (and @t21 @t20) @t19)) % 1.33/1.52 (assume @p9 (=> (and @t21 @t7) @t19)) % 1.33/1.52 (assume @p10 (=> (and @t8 @t20) @t19)) % 1.33/1.52 (assume @p11 @t24) % 1.33/1.52 (assume @p12 @t25) % 1.33/1.52 (assume @p13 (forall (@list @t27 @t28 @t26 @t30) (=> @t35 (=> @t34 (not @t32))))) % 1.33/1.52 (assume @p14 (forall @t48 (= (tptp.c_member @t12 @t39 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t36 @t41)) (and @t47 (=> @t42 @t45) (=> @t43 @t40))))) % 1.33/1.52 (assume @p15 (forall @t48 (= (tptp.c_member @t12 @t39 (tptp.c_Arrow__Order__Mirabelle_Omktop @t36 @t41)) (and @t43 (=> @t46 @t45) (=> @t47 @t40))))) % 1.33/1.52 (assume @p16 (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)))) % 1.33/1.52 (assume @p17 (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))))) % 1.33/1.52 (assume @p18 @t80) % 1.33/1.52 (assume @p19 (forall @t85 (= (tptp.c_Nitpick_Orefl_H @t28 @t81) (forall @t6 @t84)))) % 1.33/1.52 (assume @p20 (forall (@list @t50 @t28 @t53) (= (forall (@list @t90) (tptp.hBOOL (tptp.hAPP @t53 @t90))) (forall @t89 (tptp.hBOOL (tptp.hAPP @t53 @t88)))))) % 1.33/1.52 (assume @p21 (forall (@list @t91 @t92 @t63 @t62 @t50 @t28) (= (= @t95 @t94) (and @t93 (= @t63 @t91))))) % 1.33/1.52 (assume @p22 (forall (@list @t96 @t98 @t97 @t99 @t50 @t28) (=> (= (tptp.c_Product__Type_OPair @t28 @t50 @t99 @t97) (tptp.c_Product__Type_OPair @t28 @t50 @t98 @t96)) (not (=> (= @t99 @t98) (not (= @t97 @t96))))))) % 1.33/1.52 (assume @p23 (forall @t102 (=> @t76 (=> @t101 @t100)))) % 1.33/1.52 (assume @p24 (forall (@list @t30 @t28 @t37 @t38) (=> @t44 (= @t104 @t103)))) % 1.33/1.52 (assume @p25 (forall (@list @t38 @t28 @t26 @t30) (=> @t35 (= @t104 @t105)))) % 1.33/1.52 (assume @p26 (forall @t108 (= @t104 @t107))) % 1.33/1.52 (assume @p27 (forall (@list @t60 @t53 @t27 @t63 @t62) (=> @t77 (=> (not @t111) (=> (not @t110) (=> @t74 (=> @t72 (=> (forall @t15 (= @t69 (tptp.c_member @t12 @t109 @t68))) (= @t66 (tptp.c_member @t12 @t109 @t61)))))))))) % 1.33/1.52 (assume @p28 (forall @t118 (=> @t77 (=> @t117 (=> @t116 (=> @t115 (=> @t74 (=> @t72 (=> @t114 (=> @t66 @t113)))))))))) % 1.33/1.52 (assume @p29 (forall @t118 (=> @t77 (=> @t117 (=> @t116 (=> @t115 (=> @t74 (=> @t72 (=> @t114 (= @t66 @t113)))))))))) % 1.33/1.52 (assume @p30 (forall (@list @t63 @t62 @t119 @t28 @t120 @t50) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t50 @t120 @t28 @t119 @t121) (tptp.hAPP (tptp.hAPP @t119 @t62) @t63)))) % 1.33/1.52 (assume @p31 (forall @t130 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t123) (forall @t6 (=> @t129 (forall @t128 (=> (tptp.c_member @t23 @t122 tptp.c_Arrow__Order__Mirabelle_OProf) (forall @t89 (=> (forall @t15 (= @t127 (tptp.c_member @t12 @t124 (tptp.hAPP @t122 @t9)))) (= @t126 (tptp.c_member @t12 @t124 (tptp.hAPP @t123 @t122)))))))))))) % 1.33/1.52 (assume @p32 (forall @t130 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t123) (forall @t6 (=> @t129 (forall @t89 (=> (forall @t15 @t127) @t126))))))) % 1.33/1.52 (assume @p33 (forall (@list @t131 @t81 @t91 @t92 @t63 @t62 @t50 @t28) (= (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t95 @t94) (tptp.c_Wellfounded_Olex__prod @t28 @t50 @t81 @t131)) (or (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t92) @t81) (and @t93 (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t50 @t50 @t63 @t91) @t131)))))) % 1.33/1.52 (assume @p34 (forall (@list @t132 @t123) (= (tptp.c_Arrow__Order__Mirabelle_Odictator @t123 @t132) (forall @t6 (=> @t129 (= @t125 (tptp.hAPP @t3 @t132))))))) % 1.33/1.52 (assume @p35 (forall (@list @t63 @t62 @t27 @t28 @t120 @t50) (= (tptp.c_Product__Type_Ointernal__split @t50 @t120 @t28 @t27 @t121) (tptp.hAPP (tptp.hAPP @t27 @t62) @t63)))) % 1.33/1.52 (assume @p36 (forall @t142 (= (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t123 @t135 @t140) (exists @t141 (and (= @t140 @t138) @t137))))) % 1.33/1.52 (assume @p37 (forall (@list @t63 @t62 @t50 @t28 @t2) (=> @t144 @t143))) % 1.33/1.52 (assume @p38 (forall (@list @t63 @t62 @t2 @t50 @t28) (=> @t143 @t144))) % 1.33/1.52 (assume @p39 (forall (@list @t63 @t62 @t2 @t28 @t120 @t50) (= (tptp.c_Product__Type_Ocurry @t50 @t120 @t28 @t2 @t62 @t63) (tptp.hAPP @t2 @t121)))) % 1.33/1.52 (assume @p40 (forall @t142 (= (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t123 @t135 @t139) (exists @t141 (and (= @t139 @t138) @t137))))) % 1.33/1.52 (assume @p41 (forall (@list @t1 @t123 @t50 @t49 @t38 @t28) (=> (forall @t136 (=> @t145 (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t123 @t133 (tptp.hAPP @t1 @t133)))) (tptp.c_Recdef_Owfrec__rel @t28 @t50 @t49 @t123 @t38 (tptp.hAPP (tptp.hAPP @t123 @t1) @t38))))) % 1.33/1.52 (assume @p42 (forall @t149 (= @t148 (forall @t6 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t62) @t81) @t147))))) % 1.33/1.52 (assume @p43 (forall (@list @t62 @t81 @t63 @t28) (=> @t152 (=> @t151 @t148)))) % 1.33/1.52 (assume @p44 (forall (@list @t37 @t38 @t36) (=> @t153 (=> @t45 (= (not @t40) (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t37 @t38) @t36)))))) % 1.33/1.52 (assume @p45 (forall (@list @t63 @t62 @t36) (=> @t153 (=> (tptp.c_member @t12 @t65 @t36) (not (tptp.c_member @t12 @t64 @t36)))))) % 1.33/1.52 (assume @p46 (forall (@list @t50 @t62 @t38 @t28 @t154 @t155) (=> (tptp.c_member @t83 @t156 @t155) (= (tptp.hAPP (tptp.c_Recdef_Ocut @t28 @t50 @t154 @t155 @t62) @t38) (tptp.hAPP @t154 @t38))))) % 1.33/1.52 (assume @p47 (forall (@list @t1 @t38 @t81 @t2 @t50 @t28) (= (= (tptp.c_Recdef_Ocut @t28 @t50 @t2 @t81 @t38) (tptp.c_Recdef_Ocut @t28 @t50 @t1 @t81 @t38)) (forall @t159 (=> @t158 (= (tptp.hAPP @t2 @t157) (tptp.hAPP @t1 @t157))))))) % 1.33/1.52 (assume @p48 (forall (@list @t2 @t50 @t81 @t62 @t38 @t28) (=> @t162 (= (tptp.hAPP @t161 @t38) @t160)))) % 1.33/1.52 (assume @p49 (forall @t163 (= (tptp.c_member @t28 @t38 (tptp.c_fequal @t37)) @t44))) % 1.33/1.52 (assume @p50 (forall @t164 (=> @t153 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t36 @t38) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 1.33/1.52 (assume @p51 (forall @t164 (=> @t153 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Omktop @t36 @t38) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 1.33/1.52 (assume @p52 (forall @t168 (=> @t77 (=> @t153 (= (tptp.c_member @t12 @t39 (tptp.c_Arrow__Order__Mirabelle_Obelow @t36 @t62 @t63)) (and @t45 (=> @t167 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t63) @t36)) (=> (not @t167) (and (=> @t165 (or @t166 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t63 @t37) @t36))) (=> (not @t165) @t40))))))))) % 1.33/1.52 (assume @p53 (forall @t168 (=> @t77 (=> @t153 (= (tptp.c_member @t12 @t39 (tptp.c_Arrow__Order__Mirabelle_Oabove @t36 @t62 @t63)) (and @t45 (=> @t169 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t62 @t37) @t36)) (=> (not @t169) (and (=> @t166 (or @t165 (tptp.c_member @t12 (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t38 @t62) @t36))) (=> (not @t166) @t40))))))))) % 1.33/1.52 (assume @p54 (forall @t170 (=> @t45 (=> @t153 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Obelow @t36 @t38 @t37) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.33/1.52 (assume @p55 (forall @t170 (=> @t45 (=> @t153 (tptp.c_member @t22 (tptp.c_Arrow__Order__Mirabelle_Oabove @t36 @t38 @t37) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 1.33/1.52 (assume @p56 (forall (@list @t49 @t38 @t28) (=> (not (tptp.c_member @t28 @t38 @t171)) (not (forall @t136 (=> @t145 (tptp.c_member @t28 @t133 @t171))))))) % 1.33/1.52 (assume @p57 (forall @t173 (=> (forall @t159 (=> @t158 (tptp.c_member @t28 @t157 @t146))) @t172))) % 1.33/1.52 (assume @p58 (forall (@list @t63 @t62) (=> @t77 (exists @t6 (and (tptp.c_member @t22 @t3 tptp.c_Arrow__Order__Mirabelle_OLin) (tptp.c_member @t12 @t65 @t3)))))) % 1.33/1.52 (assume @p59 (forall (@list @t81 @t62 @t63 @t28) (=> @t176 (=> @t148 @t152)))) % 1.33/1.52 (assume @p60 (forall (@list @t63 @t81 @t62 @t28) (=> @t148 (=> @t176 @t152)))) % 1.33/1.52 (assume @p61 (forall @t149 (tptp.c_member @t83 @t177 @t174))) % 1.33/1.52 (assume @p62 (forall @t180 (=> @t179 (tptp.c_member @t83 @t178 @t174)))) % 1.33/1.52 (assume @p63 (forall @t186 (=> @t151 @t185))) % 1.33/1.52 (assume @p64 (forall @t186 (=> @t188 (=> @t187 @t182)))) % 1.33/1.52 (assume @p65 (forall @t186 (=> @t188 @t185))) % 1.33/1.52 (assume @p66 (forall @t85 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t174) @t174))) % 1.33/1.52 (assume @p67 (forall (@list @t38 @t123 @t49 @t28 @t50) (= (tptp.c_Nitpick_Owf__wfrec_H @t50 @t28 @t49 @t123 @t38) (tptp.hAPP (tptp.hAPP @t123 (tptp.c_Recdef_Ocut @t50 @t28 (tptp.c_Nitpick_Owf__wfrec @t50 @t28 @t49 @t123) @t49 @t38)) @t38)))) % 1.33/1.52 (assume @p68 (exists (@list @t189) (tptp.c_member @t22 @t189 tptp.c_Arrow__Order__Mirabelle_OLin))) % 1.33/1.52 (assume @p69 (forall (@list @t37 @t49 @t38 @t28) (=> (not (tptp.c_member @t28 @t38 (tptp.c_Relation_ODomain @t28 @t28 @t49))) (= @t192 @t44)))) % 1.33/1.52 (assume @p70 (forall @t196 (=> @t195 @t194))) % 1.33/1.52 (assume @p71 (forall @t198 (= @t194 (exists @t159 @t197)))) % 1.33/1.52 (assume @p72 (forall (@list @t41 @t37 @t38 @t81 @t28) (=> (tptp.c_Relation_Osingle__valued @t28 @t28 @t81) (=> @t202 (=> @t201 (or (tptp.c_member @t83 @t199 @t174) (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t41 @t37) @t174))))))) % 1.33/1.52 (assume @p73 (forall @t219 (=> @t218 (=> @t216 (=> (forall @t89 (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t215 @t88) @t212) (forall (@list @t207 @t206) (=> @t211 (=> @t209 @t208))))) @t205))))) % 1.33/1.52 (assume @p74 (forall @t219 (=> @t218 (=> @t205 (=> (forall (@list @t87 @t86 @t207 @t206) (=> @t211 (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t210 @t217) @t212) (=> @t208 @t209)))) @t216))))) % 1.33/1.52 (assume @p75 (forall (@list @t81 @t220 @t221 @t223 @t224 @t50 @t28) (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t225 @t222) @t212) (=> (not (= @t225 @t222)) (not (forall @t89 (=> (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t225 @t88) @t81) (not (tptp.c_member @t56 (tptp.c_Product__Type_OPair @t52 @t52 @t88 @t222) @t212))))))))) % 1.33/1.52 (assume @p76 (forall @t198 (=> @t194 (not (forall @t159 (not @t197)))))) % 1.33/1.52 (assume @p77 (forall @t227 (=> @t188 (=> @t77 (not (forall @t159 (=> @t226 (not (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t157 @t63) @t81))))))))) % 1.33/1.52 (assume @p78 (forall @t231 (= @t230 @t229))) % 1.33/1.52 (assume @p79 (forall (@list @t41 @t37 @t38 @t81 @t50 @t28) (=> @t230 (=> (tptp.c_member @t52 @t51 @t81) (=> (tptp.c_member @t52 (tptp.c_Product__Type_OPair @t28 @t50 @t38 @t41) @t81) @t46))))) % 1.33/1.52 (assume @p80 (forall @t85 (= (tptp.c_Relation_Oirrefl @t28 @t81) (forall @t6 (not @t84))))) % 1.33/1.52 (assume @p81 (forall @t196 (=> @t195 (tptp.c_member @t50 @t63 (tptp.c_Relation_ORange @t28 @t50 @t81))))) % 1.33/1.52 (assume @p82 (forall @t233 (= (tptp.c_member @t83 @t191 @t232) (and @t44 @t104)))) % 1.33/1.52 (assume @p83 (forall @t102 (=> @t76 (=> @t100 (tptp.c_member @t83 @t150 @t232))))) % 1.33/1.52 (assume @p84 (forall @t231 (=> @t229 @t230))) % 1.33/1.52 (assume @p85 (forall @t239 (=> @t188 (=> @t238 (=> (forall @t159 (=> @t226 (forall @t136 (=> @t237 (=> @t236 @t235))))) @t234))))) % 1.33/1.52 (assume @p86 (forall @t239 (=> @t188 (=> @t234 (=> (forall (@list @t157 @t133) (=> @t237 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t133 @t63) @t174) (=> @t235 @t236)))) @t238))))) % 1.33/1.52 (assume @p87 (forall @t242 (=> @t201 (=> @t43 (not (forall @t159 (=> @t241 (not (tptp.c_member @t83 @t240 @t174))))))))) % 1.33/1.52 (assume @p88 (forall @t243 (= (tptp.c_Relation_ORange @t28 @t28 @t232) @t30))) % 1.33/1.52 (assume @p89 (forall @t243 (= (tptp.c_Relation_ODomain @t28 @t28 @t232) @t30))) % 1.33/1.52 (assume @p90 (forall @t243 (tptp.c_Relation_Osingle__valued @t28 @t28 @t232))) % 1.33/1.52 (assume @p91 (forall @t198 (= (tptp.c_member @t28 @t62 @t245) (exists @t159 (tptp.c_member @t244 (tptp.c_Product__Type_OPair @t50 @t28 @t157 @t62) @t81))))) % 1.33/1.52 (assume @p92 (forall (@list @t30 @t27 @t28) (=> (tptp.c_member @t83 @t27 @t232) (not (forall @t6 (=> @t246 (not (= @t27 @t82)))))))) % 1.33/1.52 (assume @p93 (forall (@list @t81 @t50 @t63 @t28) (=> (tptp.c_member @t28 @t63 @t245) (not (forall @t6 (not @t247)))))) % 1.33/1.52 (assume @p94 (forall @t251 (= @t250 (forall @t6 (=> @t246 (forall @t128 (=> (tptp.c_member @t28 @t122 @t30) (=> @t249 (or (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t122) @t81) @t248))))))))) % 1.33/1.52 (assume @p95 (forall (@list @t2 @t81 @t50 @t37 @t38 @t28) (= (tptp.c_member @t83 @t191 (tptp.c_Relation_Oinv__image @t50 @t28 @t81 @t2)) (tptp.c_member @t57 (tptp.c_Product__Type_OPair @t50 @t50 @t160 @t252) @t81)))) % 1.33/1.52 (assume @p96 (forall @t255 (=> @t254 (=> @t253 @t103)))) % 1.33/1.52 (assume @p97 (forall @t255 (=> @t254 (=> @t253 @t104)))) % 1.33/1.52 (assume @p98 (forall @t257 (=> @t254 (=> @t100 @t256)))) % 1.33/1.52 (assume @p99 (forall @t227 (=> @t259 @t188))) % 1.33/1.52 (assume @p100 (forall @t227 (=> @t151 @t259))) % 1.33/1.52 (assume @p101 (forall @t180 (=> @t179 @t260))) % 1.33/1.52 (assume @p102 (forall @t262 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t261) @t190))) % 1.33/1.52 (assume @p103 (forall @t262 (= (tptp.c_Transitive__Closure_Otrancl @t28 @t190) @t190))) % 1.33/1.52 (assume @p104 (forall @t85 (= (tptp.c_Relation_ODomain @t28 @t28 @t258) @t263))) % 1.33/1.52 (assume @p105 (forall @t85 (= (tptp.c_Relation_ORange @t28 @t28 @t258) @t264))) % 1.33/1.52 (assume @p106 (forall @t243 (tptp.c_Relation_Orefl__on @t28 @t30 @t232))) % 1.33/1.52 (assume @p107 (forall (@list @t27 @t49 @t63 @t62 @t28) (=> (tptp.c_member @t83 @t150 @t49) (=> (tptp.c_member @t83 @t183 @t49) (tptp.c_member @t83 @t181 @t261))))) % 1.33/1.52 (assume @p108 (forall @t186 (=> @t151 @t266))) % 1.33/1.52 (assume @p109 (forall @t186 (=> @t259 @t267))) % 1.33/1.52 (assume @p110 (forall @t186 (=> @t259 @t266))) % 1.33/1.52 (assume @p111 (forall @t269 (= @t192 (or @t44 (and @t45 @t268))))) % 1.33/1.52 (assume @p112 (forall @t186 (=> @t151 @t270))) % 1.33/1.52 (assume @p113 (forall (@list @t49 @t63 @t62 @t28) (=> (tptp.c_member @t83 @t150 @t190) (or @t76 (and @t77 (tptp.c_member @t83 @t150 @t261)))))) % 1.33/1.52 (assume @p114 (forall @t186 (=> @t188 @t267))) % 1.33/1.52 (assume @p115 (forall @t186 (=> @t259 @t270))) % 1.33/1.52 (assume @p116 (forall (@list @t41 @t81 @t37 @t38 @t28) (=> @t202 (=> (tptp.c_member @t83 @t199 @t258) @t271)))) % 1.33/1.52 (assume @p117 (forall @t269 (=> @t268 (exists @t136 (and (tptp.c_member @t83 @t273 @t49) (tptp.c_member @t83 @t272 @t190)))))) % 1.33/1.52 (assume @p118 (forall @t269 (=> @t268 (exists @t136 (and (tptp.c_member @t83 @t273 @t190) (tptp.c_member @t83 @t272 @t49)))))) % 1.33/1.52 (assume @p119 (forall @t85 (= @t275 @t274))) % 1.33/1.52 (assume @p120 (forall (@list @t37 @t38 @t81 @t28) (=> @t274 (=> @t253 @t45)))) % 1.33/1.52 (assume @p121 (forall @t242 (=> @t271 (=> (not (tptp.c_member @t83 @t200 @t81)) (not (forall @t159 (=> @t241 (not (tptp.c_member @t83 @t240 @t258))))))))) % 1.33/1.52 (assume @p122 (forall @t227 (=> @t259 (=> (not @t151) (not (forall (@list @t276) (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t276) @t258) (not (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t276 @t63) @t81))))))))) % 1.33/1.52 (assume @p123 (forall @t278 (tptp.c_member @t83 @t177 @t277))) % 1.33/1.52 (assume @p124 (forall @t279 (tptp.c_Relation_Osingle__valued @t28 @t28 @t277))) % 1.33/1.52 (assume @p125 (forall @t280 (= (tptp.c_member @t83 @t150 @t277) @t76))) % 1.33/1.52 (assume @p126 (forall @t85 (=> @t274 @t275))) % 1.33/1.52 (assume @p127 (forall (@list @t178 @t28) (=> (tptp.c_member @t83 @t178 @t277) (not (forall @t6 (not (= @t178 @t82))))))) % 1.33/1.52 (assume @p128 (forall @t284 (= (tptp.c_Wellfounded_Oacyclic @t28 @t283) (and @t275 @t281)))) % 1.33/1.52 (assume @p129 (forall @t85 (=> @t275 (tptp.c_Relation_Oantisym @t28 @t174)))) % 1.33/1.52 (assume @p130 (forall @t85 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t258 @t277) @t174))) % 1.33/1.52 (assume @p131 (forall @t85 (= (tptp.c_Transitive__Closure_Otrancl @t28 @t286) @t174))) % 1.33/1.52 (assume @p132 (forall @t289 (=> @t288 (=> @t151 (=> @t287 @t76))))) % 1.33/1.52 (assume @p133 (forall @t295 (=> @t294 (=> (not @t107) @t291)))) % 1.33/1.52 (assume @p134 (forall (@list @t28 @t30 @t38 @t26) (=> (=> @t296 @t107) @t294))) % 1.33/1.52 (assume @p135 (forall @t298 (=> @t297 (=> @t77 @t100)))) % 1.33/1.52 (assume @p136 (forall @t302 (=> (=> (not @t301) @t76) @t300))) % 1.33/1.52 (assume @p137 (forall @t304 (=> @t303 @t32))) % 1.33/1.52 (assume @p138 (forall @t305 (=> (=> @t33 @t31) @t303))) % 1.33/1.52 (assume @p139 (forall @t85 (= (tptp.c_Relation_Oantisym @t28 @t286) @t288))) % 1.33/1.52 (assume @p140 (forall (@list @t26 @t30 @t28 @t50) (= (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t308 @t30 @t26)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t307 @t306)))) % 1.33/1.52 (assume @p141 (forall (@list @t26 @t28 @t38 @t30) (=> @t107 @t294))) % 1.33/1.52 (assume @p142 (forall (@list @t30 @t28 @t38 @t26) (=> @t291 @t294))) % 1.33/1.52 (assume @p143 (forall @t243 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t30) @t30))) % 1.33/1.52 (assume @p144 (forall @t310 (= @t293 @t309))) % 1.33/1.52 (assume @p145 (forall @t108 (= (tptp.c_Set_Oinsert @t28 @t38 @t311) @t311))) % 1.33/1.52 (assume @p146 (forall @t310 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t293) @t293))) % 1.33/1.52 (assume @p147 (forall @t233 (= (tptp.c_Set_Oinsert @t28 @t38 @t312) (tptp.c_Set_Oinsert @t28 @t37 @t311)))) % 1.33/1.52 (assume @p148 (forall (@list @t26 @t62 @t30 @t28) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t313) (tptp.c_Set_Oinsert @t28 @t62 @t293)))) % 1.33/1.52 (assume @p149 (forall @t318 (= @t317 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t26 @t315)))) % 1.33/1.52 (assume @p150 (forall (@list @t314 @t26 @t62 @t28) (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t313 @t314) (tptp.c_Set_Oinsert @t28 @t62 @t316)))) % 1.33/1.52 (assume @p151 (forall @t318 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t293 @t314) @t317))) % 1.33/1.52 (assume @p152 (forall @t322 (= (exists @t6 (and @t321 @t319)) (or (exists @t6 (and @t246 @t319)) (exists @t6 (and @t320 @t319)))))) % 1.33/1.52 (assume @p153 (forall @t322 (= (forall @t6 (=> @t321 @t319)) (and (forall @t6 (=> @t246 @t319)) (forall @t6 (=> @t320 @t319)))))) % 1.33/1.52 (assume @p154 (forall (@list @t38 @t30 @t37 @t28) (= (tptp.hBOOL (tptp.hAPP @t312 @t38)) (or (= @t37 @t38) @t107)))) % 1.33/1.52 (assume @p155 (forall @t326 (= (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t325 @t30 @t26)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t324 @t323)))) % 1.33/1.52 (assume @p156 (forall @t329 (=> @t254 (=> @t328 (tptp.c_Relation_Orefl__on @t28 @t293 @t327))))) % 1.33/1.52 (assume @p157 (forall @t196 (= (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Set_Oinsert @t52 @t95 @t81)) (tptp.c_Set_Oinsert @t28 @t62 @t193)))) % 1.33/1.52 (assume @p158 (forall (@list @t81 @t63 @t62 @t28 @t50) (= (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Set_Oinsert @t244 @t330 @t81)) (tptp.c_Set_Oinsert @t28 @t63 @t245)))) % 1.33/1.52 (assume @p159 (forall @t304 (= @t303 (or @t31 @t29)))) % 1.33/1.52 (assume @p160 (forall @t304 (=> @t31 @t303))) % 1.33/1.52 (assume @p161 (forall @t305 (=> @t29 @t303))) % 1.33/1.52 (assume @p162 (forall (@list @t26 @t62 @t28) (tptp.c_member @t28 @t62 @t313))) % 1.33/1.52 (assume @p163 (forall @t298 (= @t297 (or @t76 @t100)))) % 1.33/1.52 (assume @p164 (forall @t333 (=> @t332 (=> (not @t105) (= (= @t311 @t331) @t35))))) % 1.33/1.52 (assume @p165 (forall @t302 (=> @t301 @t300))) % 1.33/1.52 (assume @p166 (forall @t335 (=> @t100 (= @t334 @t30)))) % 1.33/1.52 (assume @p167 (forall @t340 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t339) @t337))) % 1.33/1.52 (assume @p168 (forall @t279 (tptp.c_Relation_Oantisym @t28 @t277))) % 1.33/1.52 (assume @p169 (forall (@list @t336 @t49 @t38 @t28) (=> (or (tptp.c_member @t83 @t38 @t190) (tptp.c_member @t83 @t38 @t338)) (tptp.c_member @t83 @t38 @t337)))) % 1.33/1.52 (assume @p170 (forall @t243 (tptp.c_Relation_Oantisym @t28 @t232))) % 1.33/1.52 (assume @p171 (forall @t262 (= (tptp.c_Transitive__Closure_Ortrancl @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t49 @t277)) @t190))) % 1.33/1.52 (assume @p172 (forall @t262 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t285 @t190 @t277) @t190))) % 1.33/1.52 (assume @p173 (forall @t85 (= @t288 @t345))) % 1.33/1.52 (assume @p174 (forall @t349 (=> @t348 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t347 @t2 @t1) @t38) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t160 @t346))))) % 1.33/1.52 (assume @p175 (forall @t354 (=> @t353 (=> (forall @t6 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t3) @t350) (forall @t159 (=> (tptp.c_member @t83 @t344 @t352) @t341)))) @t351)))) % 1.33/1.52 (assume @p176 (forall @t354 (=> @t353 (=> (forall @t6 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t3 @t63) @t350) (forall @t159 (=> (tptp.c_member @t83 @t342 @t352) (= @t157 @t3))))) @t351)))) % 1.33/1.52 (assume @p177 (forall @t284 (= (tptp.c_Wellfounded_Owf @t28 @t283) (and @t355 @t281)))) % 1.33/1.52 (assume @p178 (forall @t85 (=> @t345 @t288))) % 1.33/1.52 (assume @p179 (forall @t85 (= @t356 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t263 @t264)))) % 1.33/1.52 (assume @p180 (forall (@list @t2 @t50 @t81 @t28) (=> @t355 (tptp.c_Wellfounded_Owf @t50 (tptp.c_Relation_Oinv__image @t28 @t50 @t81 @t2))))) % 1.33/1.52 (assume @p181 (forall (@list @t357 @t50 @t358 @t28) (=> (tptp.c_Wellfounded_Owf @t28 @t358) (=> (tptp.c_Wellfounded_Owf @t50 @t357) (tptp.c_Wellfounded_Owf @t52 (tptp.c_Wellfounded_Olex__prod @t28 @t50 @t358 @t357)))))) % 1.33/1.52 (assume @p182 (forall @t85 (=> @t355 (tptp.c_Wellfounded_Owf @t28 @t258)))) % 1.33/1.52 (assume @p183 (forall @t85 (=> @t355 @t275))) % 1.33/1.52 (assume @p184 (forall (@list @t62 @t81 @t28) (=> @t355 (not @t256)))) % 1.33/1.52 (assume @p185 (forall (@list @t38 @t62 @t81 @t28) (=> @t355 (=> (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t62 @t38) @t81) (not @t162))))) % 1.33/1.52 (assume @p186 (forall @t359 (=> @t355 @t172))) % 1.33/1.52 (assume @p187 (forall @t85 (= @t355 (forall @t6 @t147)))) % 1.33/1.52 (assume @p188 (forall @t361 (= (tptp.c_Relation_OField @t28 @t327) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t356 @t360)))) % 1.33/1.52 (assume @p189 (forall @t363 (=> @t362 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t99 @t99) @t99)))) % 1.33/1.52 (assume @p190 (forall @t365 (=> @t362 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t364) @t364)))) % 1.33/1.52 (assume @p191 (forall @t367 (=> @t362 (= @t366 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t97 @t99))))) % 1.33/1.52 (assume @p192 (forall @t372 (=> @t348 @t371))) % 1.33/1.52 (assume @p193 (forall @t372 (=> @t362 @t371))) % 1.33/1.52 (assume @p194 (forall @t367 (=> @t362 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t99 @t366) @t366)))) % 1.33/1.52 (assume @p195 (forall @t372 (=> @t348 @t373))) % 1.33/1.52 (assume @p196 (forall @t372 (=> @t362 @t373))) % 1.33/1.52 (assume @p197 (forall @t376 (=> @t362 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t97 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t99 @t374)) @t375)))) % 1.33/1.52 (assume @p198 (forall @t382 (=> @t348 @t381))) % 1.33/1.52 (assume @p199 (forall @t382 (=> @t362 @t381))) % 1.33/1.52 (assume @p200 (forall @t383 (=> @t362 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t366 @t374) @t375)))) % 1.33/1.52 (assume @p201 (forall @t382 (=> @t348 @t384))) % 1.33/1.52 (assume @p202 (forall @t382 (=> @t362 @t384))) % 1.33/1.52 (assume @p203 (forall (@list @t2 @t28) (tptp.c_Wellfounded_Owf @t28 (tptp.c_Wellfounded_Omeasure @t28 @t2)))) % 1.33/1.52 (assume @p204 (forall (@list @t62 @t385 @t81 @t50 @t28 @t2) (=> (= @t2 @t387) (=> @t355 (= @t386 (tptp.hAPP (tptp.hAPP @t385 @t161) @t62)))))) % 1.33/1.52 (assume @p205 (forall (@list @t62 @t385 @t50 @t81 @t28) (=> @t355 (= (tptp.hAPP @t387 @t62) (tptp.hAPP (tptp.hAPP @t385 (tptp.c_Recdef_Ocut @t28 @t50 @t387 @t81 @t62)) @t62))))) % 1.33/1.52 (assume @p206 (forall (@list @t50 @t28 @t388 @t155) (=> (tptp.c_Wellfounded_Owf @t28 @t155) (forall @t6 (= (tptp.hAPP @t389 @t3) (tptp.hAPP (tptp.hAPP @t388 (tptp.c_Recdef_Ocut @t28 @t50 @t389 @t155 @t3)) @t3)))))) % 1.33/1.52 (assume @p207 (forall @t227 (= (tptp.c_Relation_OField @t28 (tptp.c_Set_Oinsert @t83 @t150 @t81)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t392 @t356)))) % 1.33/1.52 (assume @p208 (forall @t279 (tptp.c_Wellfounded_Owf @t28 @t393))) % 1.33/1.52 (assume @p209 (forall @t278 (not (tptp.c_member @t28 @t62 @t390)))) % 1.33/1.52 (assume @p210 (forall @t279 (= (tptp.c_Relation_OField @t28 @t393) @t390))) % 1.33/1.52 (assume @p211 (forall @t395 (= (= @t245 @t390) (= @t81 @t394)))) % 1.33/1.52 (assume @p212 (forall (@list @t28 @t50) (= (tptp.c_Relation_ORange @t50 @t28 @t394) @t390))) % 1.33/1.52 (assume @p213 (forall @t279 (= (tptp.c_Relation_OId__on @t28 @t390) @t393))) % 1.33/1.52 (assume @p214 (forall @t231 (= (= @t193 @t390) (= @t81 @t396)))) % 1.33/1.52 (assume @p215 (forall (@list @t50 @t28) (= (tptp.c_Relation_ODomain @t28 @t50 @t396) @t390))) % 1.33/1.52 (assume @p216 (forall @t279 (tptp.c_Relation_Orefl__on @t28 @t390 @t393))) % 1.33/1.52 (assume @p217 (forall @t243 (= (forall @t6 @t398) @t397))) % 1.33/1.52 (assume @p218 (forall @t243 (= (exists @t6 @t246) (not @t397)))) % 1.33/1.52 (assume @p219 (forall (@list @t27 @t28) (not (tptp.c_member @t28 @t27 @t390)))) % 1.33/1.52 (assume @p220 (forall (@list @t62 @t28 @t30) (=> @t397 @t399))) % 1.33/1.52 (assume @p221 (forall @t335 (not (= @t390 @t334)))) % 1.33/1.52 (assume @p222 (forall @t335 (not (= @t334 @t390)))) % 1.33/1.52 (assume @p223 (forall (@list @t400 @t27 @t63 @t62 @t28) (= (= @t392 (tptp.c_Set_Oinsert @t28 @t27 (tptp.c_Set_Oinsert @t28 @t400 @t390))) (or (and @t110 (= @t63 @t400)) (and (= @t62 @t400) @t111))))) % 1.33/1.52 (assume @p224 (forall @t280 (=> (= @t401 @t391) @t76))) % 1.33/1.52 (assume @p225 (forall @t402 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t390 @t26) @t26))) % 1.33/1.52 (assume @p226 (forall @t243 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t390) @t30))) % 1.33/1.52 (assume @p227 (forall @t310 (= (= @t293 @t390) (and @t397 (= @t26 @t390))))) % 1.33/1.52 (assume @p228 (forall @t279 (= (tptp.c_Transitive__Closure_Otrancl @t28 @t393) @t393))) % 1.33/1.52 (assume @p229 (forall @t279 (tptp.c_Relation_Oantisym @t28 @t393))) % 1.33/1.52 (assume @p230 (forall @t85 (tptp.c_Relation_Ototal__on @t28 @t390 @t81))) % 1.33/1.52 (assume @p231 (forall @t365 (=> @t404 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t403 @t364) @t364)))) % 1.33/1.52 (assume @p232 (forall @t365 (=> @t404 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t403) @t364)))) % 1.33/1.52 (assume @p233 (forall @t163 (=> @t404 (= (= @t405 @t403) (and (= @t38 @t403) (= @t37 @t403)))))) % 1.33/1.52 (assume @p234 (forall @t408 (=> @t407 @t406))) % 1.33/1.52 (assume @p235 (forall @t408 (= @t407 @t406))) % 1.33/1.52 (assume @p236 (forall @t335 (= @t334 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t401 @t30)))) % 1.33/1.52 (assume @p237 (forall @t279 (= (tptp.c_Transitive__Closure_Ortrancl @t28 @t393) @t277))) % 1.33/1.52 (assume @p238 (forall (@list @t38 @t28) (= (tptp.c_Set_Othe__elem @t28 @t409) @t38))) % 1.33/1.52 (assume @p239 (forall (@list @t38 @t50 @t28) (=> @t410 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t347) @t38) @t403)))) % 1.33/1.52 (assume @p240 (forall (@list @t28 @t49 @t50 @t53) (=> (forall @t6 (=> @t319 (tptp.c_Wellfounded_Owf @t50 (tptp.hAPP @t49 @t3)))) (tptp.c_Wellfounded_Owf @t52 @t54)))) % 1.33/1.52 (assume @p241 (forall @t361 (=> @t355 (=> (tptp.c_Wellfounded_Owf @t28 @t131) (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t263 (tptp.c_Relation_ORange @t28 @t28 @t131)) @t390) (tptp.c_Wellfounded_Owf @t28 @t327)))))) % 1.33/1.52 (assume @p242 (forall @t85 (= @t355 (forall (@list @t411) (=> (exists @t6 @t412) (exists @t6 (and @t412 (forall @t159 (=> @t343 (not (tptp.c_member @t28 @t157 @t411))))))))))) % 1.33/1.52 (assume @p243 (forall @t295 (=> @t414 (not (=> @t107 @t296))))) % 1.33/1.52 (assume @p244 (forall (@list @t28 @t26 @t38 @t30) (=> @t107 (=> @t291 @t414)))) % 1.33/1.52 (assume @p245 (forall @t304 (=> @t415 (not @t34)))) % 1.33/1.52 (assume @p246 (forall @t304 (=> @t31 (=> @t29 @t415)))) % 1.33/1.52 (assume @p247 (forall @t365 (=> @t404 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t403 @t364) @t403)))) % 1.33/1.52 (assume @p248 (forall @t365 (=> @t404 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t403) @t403)))) % 1.33/1.52 (assume @p249 (forall @t402 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t390 @t26) @t390))) % 1.33/1.52 (assume @p250 (forall @t243 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t390) @t390))) % 1.33/1.52 (assume @p251 (forall @t310 (= (= @t413 @t390) (forall @t6 (=> @t246 (forall @t128 (=> @t416 @t249))))))) % 1.33/1.52 (assume @p252 (forall @t418 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t334 @t313) @t417))) % 1.33/1.52 (assume @p253 (forall @t318 (= @t420 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t413 @t419)))) % 1.33/1.52 (assume @p254 (forall @t318 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t421) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t293 @t315)))) % 1.33/1.52 (assume @p255 (forall @t424 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t316 @t30) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t423 @t422)))) % 1.33/1.52 (assume @p256 (forall @t424 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t421 @t30) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t309 @t425)))) % 1.33/1.52 (assume @p257 (forall @t318 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t413 @t421) @t422) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t293 @t316) @t425)))) % 1.33/1.52 (assume @p258 (forall @t427 (=> @t355 (tptp.c_Wellfounded_Owf @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t285 @t81 @t426))))) % 1.33/1.52 (assume @p259 (forall @t427 (=> @t355 (tptp.c_Wellfounded_Owf @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t285 @t426 @t81))))) % 1.33/1.52 (assume @p260 (forall @t329 (=> @t254 (=> @t328 (tptp.c_Relation_Orefl__on @t28 @t413 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t285 @t81 @t131)))))) % 1.33/1.52 (assume @p261 (forall @t318 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t413 @t314) @t428))) % 1.33/1.52 (assume @p262 (forall @t318 (= @t428 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t26 @t419)))) % 1.33/1.52 (assume @p263 (forall @t310 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t413) @t413))) % 1.33/1.52 (assume @p264 (forall @t310 (= @t413 @t423))) % 1.33/1.52 (assume @p265 (forall @t243 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t30 @t30) @t30))) % 1.33/1.52 (assume @p266 (forall @t295 (=> @t414 @t291))) % 1.33/1.52 (assume @p267 (forall @t295 (=> @t414 @t107))) % 1.33/1.52 (assume @p268 (forall @t304 (= @t415 (and @t31 @t29)))) % 1.33/1.52 (assume @p269 (forall @t304 (=> @t415 @t31))) % 1.33/1.52 (assume @p270 (forall @t304 (=> @t415 @t29))) % 1.33/1.52 (assume @p271 (forall @t349 (=> @t348 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t347 @t2 @t1) @t38) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t160 @t346))))) % 1.33/1.52 (assume @p272 (forall @t382 (=> @t433 @t432))) % 1.33/1.52 (assume @p273 (forall @t382 (=> @t348 @t432))) % 1.33/1.52 (assume @p274 (forall @t383 (=> @t433 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t435 @t374) @t434)))) % 1.33/1.52 (assume @p275 (forall @t382 (=> @t433 @t437))) % 1.33/1.52 (assume @p276 (forall @t382 (=> @t348 @t437))) % 1.33/1.52 (assume @p277 (forall @t376 (=> @t433 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t97 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t99 @t374)) @t434)))) % 1.33/1.52 (assume @p278 (forall @t372 (=> @t433 @t438))) % 1.33/1.52 (assume @p279 (forall @t372 (=> @t348 @t438))) % 1.33/1.52 (assume @p280 (forall @t367 (=> @t433 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t99 @t435) @t435)))) % 1.33/1.52 (assume @p281 (forall @t372 (=> @t433 @t440))) % 1.33/1.52 (assume @p282 (forall @t372 (=> @t348 @t440))) % 1.33/1.52 (assume @p283 (forall @t367 (=> @t433 (= @t435 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t97 @t99))))) % 1.33/1.52 (assume @p284 (forall @t365 (=> @t433 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t364) @t364)))) % 1.33/1.52 (assume @p285 (forall @t363 (=> @t433 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t99 @t99) @t99)))) % 1.33/1.52 (assume @p286 (forall @t372 (=> @t348 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t364 @t370) @t364)))) % 1.33/1.52 (assume @p287 (forall @t372 (=> @t348 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t364 @t431) @t364)))) % 1.33/1.52 (assume @p288 (forall @t382 (=> @t443 (= @t442 @t441)))) % 1.33/1.52 (assume @p289 (forall @t382 (=> @t443 (= @t445 @t444)))) % 1.33/1.52 (assume @p290 (forall @t446 (=> @t443 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t379 @t364) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t439 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t377 @t364)))))) % 1.33/1.52 (assume @p291 (forall @t446 (=> @t443 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t429 @t364) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t369 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t377 @t364)))))) % 1.33/1.52 (assume @p292 (forall @t418 (and @t449 @t448))) % 1.33/1.52 (assume @p293 (forall @t454 (and @t453 @t452))) % 1.33/1.52 (assume @p294 (forall @t418 @t448)) % 1.33/1.52 (assume @p295 (forall @t454 @t452)) % 1.33/1.52 (assume @p296 (forall @t418 @t449)) % 1.33/1.52 (assume @p297 (forall @t454 @t453)) % 1.33/1.52 (assume @p298 (forall @t359 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t285 @t455 @t174) @t393) (not (tptp.c_member @t83 (tptp.c_Product__Type_OPair @t28 @t28 @t38 @t38) @t258))))) % 1.33/1.52 (assume @p299 (forall (@list @t62 @t81 @t50 @t63 @t28) (= (tptp.c_member @t28 @t63 (tptp.c_Relation_OImage @t50 @t28 @t81 (tptp.c_Set_Oinsert @t50 @t62 @t457))) (tptp.c_member @t244 @t330 @t81)))) % 1.33/1.52 (assume @p300 (forall @t262 (=> @t458 (tptp.c_Wellfounded_OwfP @t28 (tptp.c_FunDef_Oin__rel @t28 @t28 @t49))))) % 1.33/1.52 (assume @p301 (forall @t289 (=> (tptp.c_Relation_Orefl__on @t28 @t356 @t81) (=> @t288 @t464)))) % 1.33/1.52 (assume @p302 (forall (@list @t49 @t28 @t50) (= (tptp.c_Relation_OImage @t50 @t28 @t49 @t457) @t390))) % 1.33/1.52 (assume @p303 (forall @t469 (=> (tptp.c_Relation_Osingle__valued @t28 @t50 (tptp.c_Relation_Oconverse @t50 @t28 @t49)) (= @t468 @t467)))) % 1.33/1.52 (assume @p304 (forall @t472 (= (tptp.c_Relation_Oconverse @t50 @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t308 @t81 @t131)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t325 @t471 @t470)))) % 1.33/1.52 (assume @p305 (forall @t472 (= (tptp.c_Relation_Oconverse @t50 @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t308 @t81 @t131)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t325 @t471 @t470)))) % 1.33/1.52 (assume @p306 (forall @t243 (= (tptp.c_Relation_OImage @t28 @t28 @t277 @t30) @t30))) % 1.33/1.52 (assume @p307 (forall @t85 (= (tptp.c_Relation_OField @t28 @t455) @t356))) % 1.33/1.52 (assume @p308 (forall @t279 (= (tptp.c_Relation_Oconverse @t28 @t28 @t277) @t277))) % 1.33/1.52 (assume @p309 (forall @t251 (= (tptp.c_Relation_Orefl__on @t28 @t30 @t455) @t254))) % 1.33/1.52 (assume @p310 (forall @t85 (= (tptp.c_Relation_Oantisym @t28 @t455) @t288))) % 1.33/1.52 (assume @p311 (forall @t85 (= (tptp.c_Wellfounded_Oacyclic @t28 @t455) @t275))) % 1.33/1.52 (assume @p312 (forall @t243 (= (tptp.c_Relation_Oconverse @t28 @t28 @t232) @t232))) % 1.33/1.52 (assume @p313 (forall @t395 (= (tptp.c_Relation_Oconverse @t50 @t28 @t473) @t81))) % 1.33/1.52 (assume @p314 (forall @t85 (= @t475 @t474))) % 1.33/1.52 (assume @p315 (forall @t85 (= @t476 (tptp.c_Relation_Oconverse @t28 @t28 @t174)))) % 1.33/1.52 (assume @p316 (forall (@list @t26 @t30 @t49 @t28 @t50) (= (tptp.c_Relation_OImage @t50 @t28 @t49 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t456 @t30 @t26)) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t466 @t465)))) % 1.33/1.52 (assume @p317 (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)))) % 1.33/1.52 (assume @p318 (forall @t251 (= (tptp.c_Relation_Ototal__on @t28 @t30 @t455) @t250))) % 1.33/1.52 (assume @p319 (forall @t196 (= @t479 @t478))) % 1.33/1.52 (assume @p320 (forall @t196 (=> @t195 (tptp.c_member @t244 @t477 @t473)))) % 1.33/1.52 (assume @p321 (forall @t196 (=> @t479 @t478))) % 1.33/1.52 (assume @p322 (forall (@list @t30 @t336 @t49 @t28 @t50) (= (tptp.c_Relation_OImage @t50 @t28 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t308 @t49 @t336) @t30) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t466 (tptp.c_Relation_OImage @t50 @t28 @t336 @t30))))) % 1.33/1.52 (assume @p323 (forall @t85 (=> (tptp.c_Wellfounded_Owf @t28 @t455) (tptp.c_Wellfounded_Owf @t28 @t474)))) % 1.33/1.52 (assume @p324 (forall @t310 (= (tptp.c_Relation_OImage @t28 @t28 @t232 @t26) @t413))) % 1.33/1.52 (assume @p325 (forall @t395 (= @t245 @t480))) % 1.33/1.52 (assume @p326 (forall @t231 (= @t480 @t245))) % 1.33/1.52 (assume @p327 (forall @t395 (= (tptp.c_Relation_ORange @t50 @t28 @t473) @t193))) % 1.33/1.52 (assume @p328 (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) @t153))) % 1.33/1.52 (assume @p329 (forall @t483 (= @t482 (exists @t6 (and @t481 @t247))))) % 1.33/1.52 (assume @p330 (forall (@list @t81 @t63 @t50 @t30 @t62 @t28) (=> @t100 (=> @t195 (tptp.c_member @t50 @t63 @t484))))) % 1.33/1.52 (assume @p331 (forall @t284 (=> @t486 @t485))) % 1.33/1.52 (assume @p332 (forall @t487 (=> @t485 @t486))) % 1.33/1.52 (assume @p333 (forall @t487 (=> @t489 @t488))) % 1.33/1.52 (assume @p334 (forall @t487 (=> @t488 @t489))) % 1.33/1.52 (assume @p335 (forall @t289 (=> (tptp.c_Order__Relation_Opartial__order__on @t28 @t356 @t81) @t464))) % 1.33/1.52 (assume @p336 (forall @t483 (=> @t482 (not (forall @t6 (=> @t247 (not @t481))))))) % 1.33/1.52 (assume @p337 (forall @t279 (tptp.c_Order__Relation_Owell__order__on @t28 @t390 @t393))) % 1.33/1.52 (assume @p338 (forall @t251 (= (tptp.c_Order__Relation_Opartial__order__on @t28 @t30 @t455) @t490))) % 1.33/1.52 (assume @p339 (forall @t279 (tptp.c_Order__Relation_Opartial__order__on @t28 @t390 @t393))) % 1.33/1.52 (assume @p340 (forall @t251 (= @t491 (and @t490 @t250)))) % 1.33/1.52 (assume @p341 (forall @t251 (= @t490 (and @t492 @t288)))) % 1.33/1.52 (assume @p342 (forall (@list @t63 @t62 @t38 @t81 @t30 @t28) (=> @t493 (=> (tptp.c_member @t28 @t38 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t460 @t459)) @t151)))) % 1.33/1.52 (assume @p343 (forall @t251 (= (tptp.c_Order__Relation_Opreorder__on @t28 @t30 @t455) @t492))) % 1.33/1.52 (assume @p344 (forall @t251 (= (tptp.c_Order__Relation_Olinear__order__on @t28 @t30 @t455) @t491))) % 1.33/1.52 (assume @p345 (forall @t257 (=> @t493 (=> @t100 (tptp.c_member @t28 @t62 @t460))))) % 1.33/1.52 (assume @p346 (forall @t494 (=> @t493 (=> @t151 @t461)))) % 1.33/1.52 (assume @p347 (forall @t279 (tptp.c_Order__Relation_Opreorder__on @t28 @t390 @t393))) % 1.33/1.52 (assume @p348 (forall (@list @t30 @t63 @t62 @t81 @t28) (=> @t461 (=> @t493 @t495)))) % 1.33/1.52 (assume @p349 (forall @t255 (=> @t493 (=> @t104 (=> @t103 (= @t498 @t253)))))) % 1.33/1.52 (assume @p350 (forall @t255 (=> @t493 (= @t253 (and @t498 @t104 @t103))))) % 1.33/1.52 (assume @p351 (forall @t279 (tptp.c_Order__Relation_Olinear__order__on @t28 @t390 @t393))) % 1.33/1.52 (assume @p352 (forall @t289 (=> @t500 (=> @t463 (=> @t462 (= @t499 @t287)))))) % 1.33/1.52 (assume @p353 (forall @t255 (=> @t493 (=> @t104 (=> @t103 (= (= @t501 (tptp.c_Equiv__Relations_Oquotient @t28 @t496 @t81)) @t253)))))) % 1.33/1.52 (assume @p354 (forall (@list @t62 @t63 @t81 @t30 @t28) (=> @t493 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t459 @t460) @t495)))) % 1.33/1.52 (assume @p355 (forall @t365 (=> @t502 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t364)))) % 1.33/1.52 (assume @p356 (forall @t310 (=> @t504 (=> @t503 @t35)))) % 1.33/1.52 (assume @p357 (forall (@list @t27 @t26 @t30 @t28) (=> @t504 @t505))) % 1.33/1.52 (assume @p358 (forall @t243 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t390 @t30))) % 1.33/1.52 (assume @p359 (forall @t251 (= (= @t507 @t506) @t397))) % 1.33/1.52 (assume @p360 (forall @t251 (= (= @t506 @t507) @t397))) % 1.33/1.52 (assume @p361 (forall @t85 (= (tptp.c_Equiv__Relations_Oquotient @t28 @t390 @t81) @t506))) % 1.33/1.52 (assume @p362 (forall @t382 (=> @t348 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t441 @t442)))) % 1.33/1.52 (assume @p363 (forall @t382 (=> @t348 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t445 @t444)))) % 1.33/1.52 (assume @p364 (forall (@list @t38 @t30 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t409) (or @t397 (= @t30 @t409))))) % 1.33/1.52 (assume @p365 (forall @t511 (=> @t510 (=> @t509 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t413 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t314 @t508)))))) % 1.33/1.52 (assume @p366 (forall (@list @t26 @t30 @t314 @t28) (=> @t512 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t314 @t26) (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t314 @t413))))) % 1.33/1.52 (assume @p367 (forall @t513 (=> @t503 (= @t413 @t26)))) % 1.33/1.52 (assume @p368 (forall @t310 (=> @t504 (= @t413 @t30)))) % 1.33/1.52 (assume @p369 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t413 @t26))) % 1.33/1.52 (assume @p370 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t413 @t30))) % 1.33/1.52 (assume @p371 (forall @t517 (=> @t433 (=> @t516 (not (=> @t515 (not @t514))))))) % 1.33/1.52 (assume @p372 (forall @t521 (=> @t433 (=> @t520 (=> @t519 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t435 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t374 @t518))))))) % 1.33/1.52 (assume @p373 (forall @t382 (=> @t433 (=> @t523 (=> @t522 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t364 @t429)))))) % 1.33/1.52 (assume @p374 (forall @t517 (=> @t433 (=> @t515 (=> @t514 @t516))))) % 1.33/1.52 (assume @p375 (forall @t525 (=> @t433 (=> @t524 (= @t431 @t368))))) % 1.33/1.52 (assume @p376 (forall @t372 (=> @t433 (=> @t523 (= @t431 @t364))))) % 1.33/1.52 (assume @p377 (forall (@list @t99 @t364 @t97 @t28) (=> @t433 (=> @t527 @t526)))) % 1.33/1.52 (assume @p378 (forall @t529 (=> @t433 (=> @t528 @t526)))) % 1.33/1.52 (assume @p379 (forall @t532 (=> @t433 (= (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t38 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t37 @t41)) (and @t531 @t530))))) % 1.33/1.52 (assume @p380 (forall @t163 (=> @t433 (= @t531 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t28 @t38 @t37) @t38))))) % 1.33/1.52 (assume @p381 (forall @t372 (=> @t433 @t533))) % 1.33/1.52 (assume @p382 (forall @t372 (=> @t348 @t533))) % 1.33/1.52 (assume @p383 (forall @t372 (=> @t433 @t534))) % 1.33/1.52 (assume @p384 (forall @t372 (=> @t348 @t534))) % 1.33/1.52 (assume @p385 (forall (@list @t30 @t535 @t81 @t426 @t50 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t325 @t426 @t81) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t535 @t30) (tptp.c_Orderings_Oord__class_Oless__eq @t456 (tptp.c_Relation_OImage @t28 @t50 @t426 @t535) @t484))))) % 1.33/1.52 (assume @p386 (forall @t537 (=> @t536 (=> (tptp.c_Relation_Osingle__valued @t28 @t50 @t131) @t230)))) % 1.33/1.52 (assume @p387 (forall @t295 (=> @t504 (=> @t104 @t105)))) % 1.33/1.52 (assume @p388 (forall @t333 (=> @t104 (=> @t504 @t105)))) % 1.33/1.52 (assume @p389 (forall @t372 (=> @t348 @t538))) % 1.33/1.52 (assume @p390 (forall @t372 (=> @t362 @t538))) % 1.33/1.52 (assume @p391 (forall @t525 (=> @t348 @t539))) % 1.33/1.52 (assume @p392 (forall @t525 (=> @t362 @t539))) % 1.33/1.52 (assume @p393 (forall @t163 (=> @t362 (= @t531 (= @t405 @t37))))) % 1.33/1.52 (assume @p394 (forall @t532 (=> @t362 (= (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t405 @t41) (and @t530 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t37 @t41)))))) % 1.33/1.52 (assume @p395 (forall @t517 (=> @t362 (=> @t515 @t540)))) % 1.33/1.52 (assume @p396 (forall (@list @t99 @t97 @t364 @t28) (=> @t362 (=> @t514 @t540)))) % 1.33/1.52 (assume @p397 (forall @t372 (=> @t362 (=> @t523 (= @t370 @t368))))) % 1.33/1.52 (assume @p398 (forall @t525 (=> @t362 (=> @t524 (= @t370 @t364))))) % 1.33/1.52 (assume @p399 (forall @t529 (=> @t362 (=> @t528 (=> @t527 @t541))))) % 1.33/1.52 (assume @p400 (forall @t543 (=> @t362 (=> @t524 (=> @t542 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t379 @t364)))))) % 1.33/1.52 (assume @p401 (forall @t521 (=> @t362 (=> @t520 (=> @t519 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t366 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t28 @t374 @t518))))))) % 1.33/1.52 (assume @p402 (forall (@list @t364 @t97 @t99 @t28) (=> @t362 (=> @t541 (not (=> @t528 (not @t527))))))) % 1.33/1.52 (assume @p403 (forall (@list @t62 @t26 @t28) (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t26 @t313))) % 1.33/1.52 (assume @p404 (forall (@list @t63 @t26 @t30 @t28) (=> @t504 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t299)))) % 1.33/1.52 (assume @p405 (forall (@list @t62 @t508 @t314 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t314 @t508) (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Set_Oinsert @t28 @t62 @t314) (tptp.c_Set_Oinsert @t28 @t62 @t508))))) % 1.33/1.52 (assume @p406 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t293))) % 1.33/1.52 (assume @p407 (forall @t513 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t26 @t293))) % 1.33/1.52 (assume @p408 (forall @t310 (= @t504 @t544))) % 1.33/1.52 (assume @p409 (forall @t310 (=> @t504 @t544))) % 1.33/1.52 (assume @p410 (forall @t513 (=> @t503 (= @t293 @t30)))) % 1.33/1.52 (assume @p411 (forall (@list @t26 @t314 @t30 @t28) (=> @t510 (=> @t545 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t293 @t314))))) % 1.33/1.52 (assume @p412 (forall @t511 (=> @t510 (=> @t509 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t293 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t314 @t508)))))) % 1.33/1.52 (assume @p413 (forall @t361 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t81 @t546) @t547))) % 1.33/1.52 (assume @p414 (forall @t340 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t49 @t336) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t336 @t190) (= @t338 @t190))))) % 1.33/1.52 (assume @p415 (forall @t361 (=> @t548 @t547))) % 1.33/1.52 (assume @p416 (forall @t549 (=> @t355 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t178 @t81) (tptp.c_Wellfounded_Owf @t28 @t178))))) % 1.33/1.52 (assume @p417 (forall @t537 (=> @t536 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t193 (tptp.c_Relation_ODomain @t28 @t50 @t131))))) % 1.33/1.52 (assume @p418 (forall @t550 (=> @t35 (not (=> @t504 (not @t503)))))) % 1.33/1.52 (assume @p419 (forall @t318 (=> @t504 (=> @t545 @t510)))) % 1.33/1.52 (assume @p420 (forall @t550 (=> @t35 @t503))) % 1.33/1.52 (assume @p421 (forall @t550 (=> @t35 @t504))) % 1.33/1.52 (assume @p422 (forall @t550 (= @t35 (and @t504 @t503)))) % 1.33/1.52 (assume @p423 (forall @t243 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t30))) % 1.33/1.52 (assume @p424 (forall (@list @t38 @t352 @t53 @t28) (=> @t553 (=> @t59 @t552)))) % 1.33/1.52 (assume @p425 (forall (@list @t352 @t28 @t38 @t53) (=> @t59 (=> @t553 @t552)))) % 1.33/1.52 (assume @p426 (forall (@list @t555 @t554 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t554 @t555) (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Wellfounded_Oacc @t28 @t555) (tptp.c_Wellfounded_Oacc @t28 @t554))))) % 1.33/1.52 (assume @p427 (forall @t361 (=> @t548 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t356 @t360)))) % 1.33/1.52 (assume @p428 (forall (@list @t81 @t131 @t28) (=> (tptp.c_Wellfounded_Oacyclic @t28 @t131) (=> @t548 @t275)))) % 1.33/1.52 (assume @p429 (forall @t361 (=> @t548 (=> (tptp.c_Relation_Oantisym @t28 @t131) @t288)))) % 1.33/1.52 (assume @p430 (forall @t372 (=> @t556 (=> (not @t523) @t524)))) % 1.33/1.52 (assume @p431 (forall (@list @t38 @t1 @t2 @t28 @t50) (=> @t558 (=> @t557 (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t160 @t346))))) % 1.33/1.52 (assume @p432 (forall @t543 (=> @t559 (=> @t524 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t377 @t368) @t542))))) % 1.33/1.52 (assume @p433 (forall @t525 (=> @t559 (=> @t524 (=> @t523 @t560))))) % 1.33/1.52 (assume @p434 (forall @t382 (=> @t502 (=> @t523 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t368 @t377) @t522))))) % 1.33/1.52 (assume @p435 (forall @t372 (=> @t559 (=> @t523 (=> @t524 @t560))))) % 1.33/1.52 (assume @p436 (forall @t376 (=> @t559 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t97 @t99) (=> @t562 @t561))))) % 1.33/1.52 (assume @p437 (forall @t383 (=> @t563 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t99 @t97) (=> @t562 @t520))))) % 1.33/1.52 (assume @p438 (forall @t383 (=> @t559 (=> @t564 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t374 @t97) @t561))))) % 1.33/1.52 (assume @p439 (forall @t383 (=> @t563 (=> @t564 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t97 @t374) @t520))))) % 1.33/1.52 (assume @p440 (forall (@list @t38 @t37 @t28) (=> @t559 (=> @t565 (= @t531 @t44))))) % 1.33/1.52 (assume @p441 (forall @t372 (=> @t502 (=> @t560 @t523)))) % 1.33/1.52 (assume @p442 (forall @t163 (=> @t559 (= @t44 (and @t531 @t565))))) % 1.33/1.52 (assume @p443 (forall @t372 (=> @t556 (or @t523 @t524)))) % 1.33/1.52 (assume @p444 (forall (@list @t1 @t2 @t28 @t50) (=> @t558 (= @t557 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t5 @t4)))))) % 1.33/1.52 (assume @p445 (forall @t365 (=> @t410 (tptp.c_Orderings_Oord__class_Oless__eq @t28 @t403 @t364)))) % 1.33/1.52 (assume @p446 (forall (@list @t26 @t28 @t30) (=> (= @t30 @t393) (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t30 @t26)))) % 1.33/1.52 (assume @p447 (forall @t243 (= (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t390) @t397))) % 1.33/1.52 (assume @p448 (forall @t333 (=> @t332 (= (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t331) @t504)))) % 1.33/1.52 (assume @p449 (forall @t333 (= (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t311 @t26) (and @t105 @t504)))) % 1.33/1.52 (assume @p450 (forall @t318 (= (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t413 @t314) @t420) @t512))) % 1.33/1.52 (assume @p451 (forall (@list @t131 @t81 @t178 @t28) (=> @t260 (=> @t548 (tptp.c_member @t83 @t178 (tptp.c_Transitive__Closure_Otrancl @t28 @t131)))))) % 1.33/1.52 (assume @p452 (forall @t469 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t468 @t467))) % 1.33/1.52 (assume @p453 (forall (@list @t566 @t81 @t28) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Relation_OImage @t28 @t28 @t81 @t566) @t566) (= (tptp.c_Relation_OImage @t28 @t28 @t174 @t566) @t566)))) % 1.33/1.52 (assume @p454 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq @t285 @t339 @t337))) % 1.33/1.52 (assume @p455 (forall (@list @t30 @t49 @t28) (=> @t458 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 (tptp.c_Relation_OImage @t28 @t28 @t49 @t30)) @t397)))) % 1.33/1.52 (assume @p456 (forall @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t325 @t30 @t26)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t324 @t323)))) % 1.33/1.52 (assume @p457 (forall @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t308 @t30 @t26)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t307 @t306)))) % 1.33/1.52 (assume @p458 (forall @t173 (= @t501 (tptp.c_Set_Oinsert @t292 @t497 @t506)))) % 1.33/1.52 (assume @p459 (forall (@list @t567 @t566 @t81 @t30 @t28) (=> @t493 (=> @t570 (=> @t569 (or @t568 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t566 @t567) @t390))))))) % 1.33/1.52 (assume @p460 (forall (@list @t81 @t30 @t38 @t28) (=> @t104 (tptp.c_member @t292 @t497 @t507)))) % 1.33/1.52 (assume @p461 (forall @t494 (=> @t493 (=> @t151 @t499)))) % 1.33/1.52 (assume @p462 (forall @t573 (=> @t493 (=> @t570 (=> @t569 (=> @t572 (=> @t571 (= @t568 @t253)))))))) % 1.33/1.52 (assume @p463 (forall @t573 (=> @t493 (=> @t570 (=> @t569 (=> @t572 (=> @t571 (=> @t253 @t568)))))))) % 1.33/1.52 (assume @p464 (forall (@list @t26 @t30 @t81 @t28) (=> @t500 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t356) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t26 @t356) (= (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Relation_OImage @t28 @t28 @t81 @t30) (tptp.c_Relation_OImage @t28 @t28 @t81 @t26)) (forall @t6 (=> @t246 (exists @t128 (and @t416 @t248)))))))))) % 1.33/1.52 (assume @p465 (forall (@list @t81 @t30 @t566 @t28) (=> @t570 (not (forall @t6 (=> (= @t566 (tptp.c_Relation_OImage @t28 @t28 @t81 (tptp.c_Set_Oinsert @t28 @t3 @t390))) @t398)))))) % 1.33/1.52 (assume @p466 (forall @t549 (=> (tptp.c_Wellfounded_OwfP @t28 @t81) (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t28 @t292) @t178 @t81) (tptp.c_Wellfounded_OwfP @t28 @t178))))) % 1.33/1.52 (assume @p467 (forall (@list @t41 @t37 @t2 @t81 @t50 @t28) (=> (tptp.c_Equiv__Relations_Ocongruent @t28 @t50 @t81 @t2) (=> (tptp.c_member @t83 @t199 @t81) (= @t252 (tptp.hAPP @t2 @t41)))))) % 1.33/1.52 (assume @p468 (forall (@list @t49 @t28 @t37 @t38 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t160 @t252) (=> (tptp.c_member @t83 @t191 @t49) (tptp.c_member @t83 @t191 @t574))))) % 1.33/1.52 (assume @p469 (forall (@list @t352 @t50 @t28 @t37 @t38 @t53) (=> @t577 (=> @t576 @t575)))) % 1.33/1.52 (assume @p470 (forall (@list @t37 @t38 @t352 @t53 @t50 @t28) (=> @t576 (=> @t577 @t575)))) % 1.33/1.52 (assume @p471 (forall (@list @t2 @t49 @t28) (=> @t458 (tptp.c_Wellfounded_Owf @t28 @t574)))) % 1.33/1.52 (assume @p472 (forall (@list @t62 @t2 @t578 @t120 @t50 @t579 @t30 @t28) (=> (tptp.c_Equiv__Relations_Oequiv @t28 @t30 @t579) (=> (tptp.c_Equiv__Relations_Ocongruent2 @t28 @t50 @t120 @t579 @t578 @t2) (=> @t100 (tptp.c_Equiv__Relations_Ocongruent @t50 @t120 @t578 @t386)))))) % 1.33/1.52 (assume @p473 (forall @t251 (= (tptp.c_Order__Relation_Owell__order__on @t28 @t30 @t81) (and @t491 (tptp.c_Wellfounded_Owf @t28 (tptp.c_Groups_Ominus__class_Ominus @t285 @t81 @t277)))))) % 1.33/1.52 (assume @p474 (forall @t304 (=> @t31 (=> @t33 @t581)))) % 1.33/1.52 (assume @p475 (forall @t304 (=> @t581 (not @t505)))) % 1.33/1.52 (assume @p476 (forall @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Groups_Ominus__class_Ominus @t292 @t324 @t323) (tptp.c_Relation_ODomain @t28 @t50 (tptp.c_Groups_Ominus__class_Ominus @t325 @t30 @t26))))) % 1.33/1.52 (assume @p477 (forall @t318 (=> @t504 (=> @t545 (= (tptp.c_Groups_Ominus__class_Ominus @t292 @t26 (tptp.c_Groups_Ominus__class_Ominus @t292 @t314 @t30)) @t30))))) % 1.33/1.52 (assume @p478 (forall (@list @t26 @t508 @t314 @t30 @t28) (=> @t510 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t508 @t26) (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t580 (tptp.c_Groups_Ominus__class_Ominus @t292 @t314 @t508)))))) % 1.33/1.52 (assume @p479 (forall @t310 (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t580 @t30))) % 1.33/1.52 (assume @p480 (forall @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t292 (tptp.c_Groups_Ominus__class_Ominus @t292 @t307 @t306) (tptp.c_Relation_ORange @t50 @t28 (tptp.c_Groups_Ominus__class_Ominus @t308 @t30 @t26))))) % 1.33/1.52 (assume @p481 (forall @t310 (=> @t504 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t30 @t582) @t26)))) % 1.33/1.52 (assume @p482 (forall @t318 (= (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t580 @t314) (tptp.c_Orderings_Oord__class_Oless__eq @t292 @t30 @t316)))) % 1.33/1.52 (assume @p483 (forall @t310 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t580 @t413) @t30))) % 1.33/1.52 (assume @p484 (forall @t318 (= (tptp.c_Groups_Ominus__class_Ominus @t292 @t30 @t316) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t292 @t580 @t583)))) % 1.33/1.52 (assume @p485 (forall @t318 (= (tptp.c_Groups_Ominus__class_Ominus @t292 @t30 @t421) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t580 @t583)))) % 1.33/1.52 (assume @p486 (forall (@list @t38 @t26 @t30 @t50 @t28) (=> (tptp.class_Groups_Ominus @t28) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t347 @t30 @t26) @t38) (tptp.c_Groups_Ominus__class_Ominus @t28 @t106 @t290))))) % 1.33/1.52 (assume @p487 (forall @t310 (= (tptp.c_Groups_Ominus__class_Ominus @t292 @t580 @t26) @t580))) % 1.33/1.52 (assume @p488 (forall @t318 (= (tptp.c_Groups_Ominus__class_Ominus @t292 @t293 @t314) (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t583 (tptp.c_Groups_Ominus__class_Ominus @t292 @t26 @t314))))) % 1.33/1.52 (assume @p489 (forall @t513 (= (tptp.c_Lattices_Osemilattice__sup__class_Osup @t292 @t582 @t30) @t309))) % 1.33/1.52 (assume @p490 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p491 (forall @t588 (=> @t587 (tptp.class_Lattices_Obounded__lattice @t586)))) % 1.33/1.52 (assume @p492 (forall @t588 (=> @t587 (tptp.class_Lattices_Obounded__lattice__bot @t586)))) % 1.33/1.52 (assume @p493 (forall @t588 (=> @t589 (tptp.class_Lattices_Osemilattice__sup @t586)))) % 1.33/1.52 (assume @p494 (forall @t588 (=> @t589 (tptp.class_Lattices_Osemilattice__inf @t586)))) % 1.33/1.52 (assume @p495 (forall @t588 (=> (tptp.class_Lattices_Odistrib__lattice @t584) (tptp.class_Lattices_Odistrib__lattice @t586)))) % 1.33/1.52 (assume @p496 (forall @t588 (=> (tptp.class_Orderings_Opreorder @t584) (tptp.class_Orderings_Opreorder @t586)))) % 1.33/1.52 (assume @p497 (forall @t588 (=> @t589 (tptp.class_Lattices_Olattice @t586)))) % 1.33/1.52 (assume @p498 (forall @t588 (=> (tptp.class_Orderings_Oorder @t584) (tptp.class_Orderings_Oorder @t586)))) % 1.33/1.52 (assume @p499 (forall @t588 (=> (tptp.class_Orderings_Oord @t584) (tptp.class_Orderings_Oord @t586)))) % 1.33/1.52 (assume @p500 (forall @t588 (=> (tptp.class_Orderings_Obot @t584) (tptp.class_Orderings_Obot @t586)))) % 1.33/1.52 (assume @p501 (forall @t588 (=> (tptp.class_Groups_Ominus @t584) (tptp.class_Groups_Ominus @t586)))) % 1.33/1.52 (assume @p502 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p503 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p504 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p505 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p506 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p507 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p508 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p509 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p510 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p511 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.33/1.52 (assume @p512 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p513 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p514 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p515 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p516 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p517 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p518 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p519 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p520 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p521 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.33/1.52 (assume @p522 (forall @t591 (or (not @t590) @t44))) % 1.33/1.52 (assume @p523 (forall @t591 (or @t45 @t590))) % 1.33/1.52 (assume @p524 (not @t19)) % 1.33/1.52 (assume @p525 true) % 1.33/1.52 (step @p526 :rule and_elim :premises (@p6) :args (0)) % 1.33/1.52 (step @p527 :rule and_elim :premises (@p6) :args (1)) % 1.33/1.52 (step @p528 :rule not_equiv_elim1 :premises (@p524)) % 1.33/1.52 (step @p529 :rule aci_norm :args ((= (or @t406 @t595) (or @t406 @t594 @t593 @t592 @t67)))) % 1.33/1.52 (step @p530 :rule aci_norm :args ((= (or @t594 @t596) @t595))) % 1.33/1.52 (step @p531 :rule aci_norm :args ((= (or @t593 (or @t592 @t67)) @t596))) % 1.33/1.52 (step @p532 :rule bool-impl-elim :args (@t70 @t67)) % 1.33/1.52 (step @p533 :rule refl :args (@t593)) % 1.33/1.52 (step @p534 :rule nary_cong :premises (@p533 @p532) :args ((or @t593 @t71))) % 1.33/1.52 (step @p535 :rule trans :premises (@p534 @p531)) % 1.33/1.52 (step @p536 :rule bool-impl-elim :args (@t72 @t71)) % 1.33/1.52 (step @p537 :rule trans :premises (@p536 @p535)) % 1.33/1.52 (step @p538 :rule refl :args (@t594)) % 1.33/1.52 (step @p539 :rule nary_cong :premises (@p538 @p537) :args ((or @t594 @t73))) % 1.33/1.52 (step @p540 :rule trans :premises (@p539 @p530)) % 1.33/1.52 (step @p541 :rule bool-impl-elim :args (@t74 @t73)) % 1.33/1.52 (step @p542 :rule trans :premises (@p541 @p540)) % 1.33/1.52 (step @p543 :rule refl :args (@t406)) % 1.33/1.52 (step @p544 :rule nary_cong :premises (@p543 @p542) :args ((or @t406 @t75))) % 1.33/1.52 (step @p545 :rule trans :premises (@p544 @p529)) % 1.33/1.52 (step @p546 :rule refl :args (@t75)) % 1.33/1.52 (step @p547 :rule bool-double-not-elim :args (@t406)) % 1.33/1.52 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or (not @t597) @t75))) % 1.33/1.52 (step @p549 :rule bool-impl-elim :args (@t597 @t75)) % 1.33/1.52 (step @p550 :rule trans :premises (@p549 @p548)) % 1.33/1.52 (step @p551 :rule trans :premises (@p550 @p545)) % 1.33/1.52 (step @p552 :rule cong :premises (@p551) :args ((forall @t79 (=> @t597 @t75)))) % 1.33/1.52 (step @p553 :rule refl :args (@t75)) % 1.33/1.52 (step @p554 :rule eq-symm :args (@t62 @t63)) % 1.33/1.52 (step @p555 :rule cong :premises (@p554) :args (@t77)) % 1.33/1.52 (step @p556 :rule cong :premises (@p555 @p553) :args (@t78)) % 1.33/1.52 (step @p557 :rule cong :premises (@p556) :args (@t80)) % 1.33/1.52 (step @p558 :rule trans :premises (@p557 @p552)) % 1.33/1.52 (step @p559 :rule eq_resolve :premises (@p18 @p558)) % 1.33/1.52 (step @p560 :rule instantiate :premises (@p559) :args ((@list tptp.v_P_H____ tptp.v_P____ tptp.v_b____ tptp.v_a____))) % 1.33/1.52 (step @p561 :rule instantiate :premises (@p7) :args ((@list @t600))) % 1.33/1.52 (step @p562 :rule cnf_equiv_pos2 :args (@t604)) % 1.33/1.52 (step @p563 :rule reordering :premises (@p562) :args ((or @t603 @t606 @t605))) % 1.33/1.52 (step @p564 :rule cnf_equiv_neg2 :args (@t608)) % 1.33/1.52 (assume-push @p701 @t8) % 1.33/1.52 (assume-push @p702 @t7) % 1.33/1.52 (assume-push @p703 @t602) % 1.33/1.52 (assume-push @p704 @t602) % 1.33/1.52 (assume-push @p705 @t7) % 1.33/1.52 (assume-push @p706 @t8) % 1.33/1.52 (step @p571 :rule true_intro :premises (@p703)) % 1.33/1.52 (step @p572 :rule refl :args (@t601)) % 1.33/1.52 (step @p573 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.33/1.52 (step @p574 :rule cong :premises (@p573 @p573 @p527 @p526) :args (@t598)) % 1.33/1.52 (step @p575 :rule refl :args (@t12)) % 1.33/1.52 (step @p576 :rule cong :premises (@p575 @p574 @p572) :args (@t607)) % 1.33/1.52 (step @p577 :rule trans :premises (@p576 @p571)) % 1.33/1.52 (step @p578 :rule true_elim :premises (@p577)) % 1.33/1.52 (step-pop @p707 :rule scope :premises (@p578)) % 1.33/1.52 (step-pop @p708 :rule scope :premises (@p707)) % 1.33/1.52 (step-pop @p709 :rule scope :premises (@p708)) % 1.33/1.52 (step @p579 :rule process_scope :premises (@p709) :args (@t607)) % 1.33/1.52 (step @p583 :rule and_intro :premises (@p703 @p527 @p526)) % 1.33/1.52 (step @p584 :rule modus_ponens :premises (@p583 @p579)) % 1.33/1.52 (step-pop @p710 :rule scope :premises (@p584)) % 1.33/1.52 (step-pop @p711 :rule scope :premises (@p710)) % 1.33/1.52 (step-pop @p712 :rule scope :premises (@p711)) % 1.33/1.52 (step @p585 :rule process_scope :premises (@p712) :args (@t607)) % 1.33/1.52 (step @p589 :rule implies_elim :premises (@p585)) % 1.33/1.52 (step @p590 :rule cnf_and_neg :args (@t609)) % 1.33/1.52 (step @p591 :rule resolution :premises (@p590 @p589) :args (true @t609)) % 1.33/1.52 (step @p592 :rule reordering :premises (@p591) :args ((or @t21 @t20 @t607 @t606))) % 1.33/1.52 (step @p593 :rule chain_m_resolution :premises (@p592 @p527 @p526 @p564 @p563 @p561) :args ((or @t608 @t606) @t610 (@list @t7 @t8 @t607 @t603 @t604))) % 1.33/1.52 (step @p594 :rule cnf_equiv_pos1 :args (@t604)) % 1.33/1.52 (step @p595 :rule reordering :premises (@p594) :args ((or (not @t603) @t602 @t605))) % 1.33/1.52 (step @p596 :rule cnf_equiv_neg1 :args (@t608)) % 1.33/1.52 (step @p597 :rule reordering :premises (@p596) :args ((or @t603 @t607 @t608))) % 1.33/1.52 (step @p598 :rule refl :args (@t611)) % 1.33/1.52 (step @p599 :rule bool-double-not-elim :args (@t602)) % 1.33/1.52 (step @p600 :rule refl :args (@t20)) % 1.33/1.52 (step @p601 :rule refl :args (@t21)) % 1.33/1.52 (step @p602 :rule nary_cong :premises (@p601 @p600 @p599 @p598) :args ((or @t21 @t20 (not @t606) @t611))) % 1.33/1.52 (assume-push @p713 @t8) % 1.33/1.52 (assume-push @p714 @t7) % 1.33/1.52 (assume-push @p715 @t606) % 1.33/1.52 (assume-push @p716 @t606) % 1.33/1.52 (assume-push @p717 @t7) % 1.33/1.52 (assume-push @p718 @t8) % 1.33/1.52 (step @p609 :rule false_intro :premises (@p715)) % 1.33/1.52 (step @p572 :rule refl :args (@t601)) % 1.33/1.52 (step @p573 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.33/1.52 (step @p574 :rule cong :premises (@p573 @p573 @p527 @p526) :args (@t598)) % 1.33/1.52 (step @p575 :rule refl :args (@t12)) % 1.33/1.52 (step @p576 :rule cong :premises (@p575 @p574 @p572) :args (@t607)) % 1.33/1.52 (step @p610 :rule trans :premises (@p576 @p609)) % 1.33/1.52 (step @p611 :rule false_elim :premises (@p610)) % 1.33/1.52 (step-pop @p719 :rule scope :premises (@p611)) % 1.33/1.52 (step-pop @p720 :rule scope :premises (@p719)) % 1.33/1.52 (step-pop @p721 :rule scope :premises (@p720)) % 1.33/1.52 (step @p612 :rule process_scope :premises (@p721) :args (@t611)) % 1.33/1.52 (step @p616 :rule and_intro :premises (@p715 @p527 @p526)) % 1.33/1.52 (step @p617 :rule modus_ponens :premises (@p616 @p612)) % 1.33/1.52 (step-pop @p722 :rule scope :premises (@p617)) % 1.33/1.52 (step-pop @p723 :rule scope :premises (@p722)) % 1.33/1.52 (step-pop @p724 :rule scope :premises (@p723)) % 1.33/1.52 (step @p618 :rule process_scope :premises (@p724) :args (@t611)) % 1.33/1.52 (step @p622 :rule implies_elim :premises (@p618)) % 1.33/1.52 (step @p623 :rule cnf_and_neg :args (@t612)) % 1.33/1.52 (step @p624 :rule resolution :premises (@p623 @p622) :args (true @t612)) % 1.33/1.52 (step @p625 :rule eq_resolve :premises (@p624 @p602)) % 1.33/1.52 (step @p626 :rule reordering :premises (@p625) :args ((or @t21 @t20 @t611 @t602))) % 1.33/1.52 (step @p627 :rule chain_m_resolution :premises (@p626 @p527 @p526 @p597 @p595 @p561 @p593) :args (@t608 (@list false false false true false true) (@list @t7 @t8 @t607 @t603 @t604 @t602))) % 1.33/1.52 (step @p628 :rule refl :args (@t613)) % 1.33/1.52 (step @p629 :rule bool-double-not-elim :args (@t599)) % 1.33/1.52 (step @p630 :rule nary_cong :premises (@p629 @p628) :args ((or (not @t614) @t613))) % 1.33/1.52 (assume-push @p725 @t614) % 1.33/1.52 (step @p632 :rule skolemize :premises (@p725)) % 1.33/1.52 (step-pop @p726 :rule scope :premises (@p632)) % 1.33/1.52 (step @p633 :rule process_scope :premises (@p726) :args (@t613)) % 1.33/1.52 (step @p635 :rule implies_elim :premises (@p633)) % 1.33/1.52 (step @p636 :rule eq_resolve :premises (@p635 @p630)) % 1.33/1.52 (step @p637 :rule chain_m_resolution :premises (@p636 @p627) :args (@t599 @t615 (@list @t608))) % 1.33/1.52 (step @p638 :rule symm :premises (@p4)) % 1.33/1.52 (step @p639 :rule cnf_or_pos :args (@t621)) % 1.33/1.52 (step @p640 :rule reordering :premises (@p639) :args ((or @t620 @t619 @t618 @t614 @t617 (not @t621)))) % 1.33/1.52 (step @p641 :rule chain_m_resolution :premises (@p640 @p638 @p11 @p12 @p637 @p560) :args (@t617 (@list true false false false false) (@list @t620 @t24 @t25 @t599 @t621))) % 1.33/1.52 (step @p642 :rule cnf_equiv_pos2 :args (@t617)) % 1.33/1.52 (step @p643 :rule reordering :premises (@p642) :args ((or @t18 @t623 @t622))) % 1.33/1.52 (assume-push @p727 @t8) % 1.33/1.52 (assume-push @p728 @t7) % 1.33/1.52 (assume-push @p729 @t17) % 1.33/1.52 (assume-push @p730 @t17) % 1.33/1.52 (assume-push @p731 @t7) % 1.33/1.52 (assume-push @p732 @t8) % 1.33/1.52 (step @p650 :rule true_intro :premises (@p729)) % 1.33/1.52 (step @p651 :rule refl :args (@t16)) % 1.33/1.52 (step @p573 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.33/1.52 (step @p574 :rule cong :premises (@p573 @p573 @p527 @p526) :args (@t598)) % 1.33/1.52 (step @p575 :rule refl :args (@t12)) % 1.33/1.52 (step @p652 :rule cong :premises (@p575 @p574 @p651) :args (@t616)) % 1.33/1.52 (step @p653 :rule trans :premises (@p652 @p650)) % 1.33/1.52 (step @p654 :rule true_elim :premises (@p653)) % 1.33/1.52 (step-pop @p733 :rule scope :premises (@p654)) % 1.33/1.52 (step-pop @p734 :rule scope :premises (@p733)) % 1.33/1.52 (step-pop @p735 :rule scope :premises (@p734)) % 1.33/1.52 (step @p655 :rule process_scope :premises (@p735) :args (@t616)) % 1.33/1.52 (step @p659 :rule and_intro :premises (@p729 @p527 @p526)) % 1.33/1.52 (step @p660 :rule modus_ponens :premises (@p659 @p655)) % 1.33/1.52 (step-pop @p736 :rule scope :premises (@p660)) % 1.33/1.52 (step-pop @p737 :rule scope :premises (@p736)) % 1.33/1.52 (step-pop @p738 :rule scope :premises (@p737)) % 1.33/1.52 (step @p661 :rule process_scope :premises (@p738) :args (@t616)) % 1.33/1.52 (step @p665 :rule implies_elim :premises (@p661)) % 1.33/1.52 (step @p666 :rule cnf_and_neg :args (@t624)) % 1.33/1.52 (step @p667 :rule resolution :premises (@p666 @p665) :args (true @t624)) % 1.33/1.52 (step @p668 :rule chain_m_resolution :premises (@p667 @p527 @p526 @p643 @p641 @p528) :args (@t18 @t610 (@list @t7 @t8 @t616 @t617 @t17))) % 1.33/1.52 (step @p669 :rule not_equiv_elim2 :premises (@p524)) % 1.33/1.52 (step @p670 :rule chain_m_resolution :premises (@p669 @p668) :args (@t625 @t615 (@list @t18))) % 1.33/1.52 (step @p671 :rule cnf_equiv_pos1 :args (@t617)) % 1.33/1.52 (step @p672 :rule reordering :premises (@p671) :args ((or (not @t18) @t616 @t622))) % 1.33/1.52 (step @p673 :rule chain_m_resolution :premises (@p672 @p668 @p641) :args (@t616 (@list false false) (@list @t18 @t617))) % 1.33/1.52 (step @p674 :rule refl :args (@t623)) % 1.33/1.52 (step @p675 :rule bool-double-not-elim :args (@t17)) % 1.33/1.52 (step @p676 :rule nary_cong :premises (@p601 @p600 @p675 @p674) :args ((or @t21 @t20 (not @t625) @t623))) % 1.33/1.52 (assume-push @p739 @t8) % 1.33/1.52 (assume-push @p740 @t7) % 1.33/1.52 (assume-push @p741 @t625) % 1.33/1.52 (assume-push @p742 @t625) % 1.33/1.52 (assume-push @p743 @t7) % 1.33/1.52 (assume-push @p744 @t8) % 1.33/1.52 (step @p683 :rule false_intro :premises (@p741)) % 1.33/1.52 (step @p651 :rule refl :args (@t16)) % 1.33/1.52 (step @p573 :rule refl :args (tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 1.33/1.52 (step @p574 :rule cong :premises (@p573 @p573 @p527 @p526) :args (@t598)) % 1.33/1.52 (step @p575 :rule refl :args (@t12)) % 1.33/1.52 (step @p652 :rule cong :premises (@p575 @p574 @p651) :args (@t616)) % 1.33/1.52 (step @p684 :rule trans :premises (@p652 @p683)) % 1.33/1.52 (step @p685 :rule false_elim :premises (@p684)) % 1.33/1.52 (step-pop @p745 :rule scope :premises (@p685)) % 1.33/1.52 (step-pop @p746 :rule scope :premises (@p745)) % 1.33/1.52 (step-pop @p747 :rule scope :premises (@p746)) % 1.33/1.52 (step @p686 :rule process_scope :premises (@p747) :args (@t623)) % 1.33/1.52 (step @p690 :rule and_intro :premises (@p741 @p527 @p526)) % 1.33/1.52 (step @p691 :rule modus_ponens :premises (@p690 @p686)) % 1.33/1.52 (step-pop @p748 :rule scope :premises (@p691)) % 1.33/1.52 (step-pop @p749 :rule scope :premises (@p748)) % 1.33/1.52 (step-pop @p750 :rule scope :premises (@p749)) % 1.33/1.52 (step @p692 :rule process_scope :premises (@p750) :args (@t623)) % 1.33/1.52 (step @p696 :rule implies_elim :premises (@p692)) % 1.33/1.52 (step @p697 :rule cnf_and_neg :args (@t626)) % 1.33/1.52 (step @p698 :rule resolution :premises (@p697 @p696) :args (true @t626)) % 1.33/1.52 (step @p699 :rule eq_resolve :premises (@p698 @p676)) % 1.33/1.52 (step @p700 false :rule chain_m_resolution :premises (@p699 @p673 @p670 @p527 @p526) :args (false (@list false true false false) (@list @t616 @t17 @t7 @t8))) % 1.33/1.52 ) % 1.33/1.52 % SZS output end Proof % 1.33/1.53 % cvc5 exiting %------------------------------------------------------------------------------