%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT142+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:46:21 AM UTC 2026 % Result : Theorem 69.30s 69.50s % Output : Proof 69.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT142+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n003.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 14:30:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.40/0.65 %----Proving TF0_NAR, FOF, or CNF % 69.30/69.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 69.30/69.50 --- Run --no-e-matching --full-saturate-quant at 6... % 69.30/69.50 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 69.30/69.50 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 69.30/69.50 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 69.30/69.50 --- Run --trigger-sel=max --full-saturate-quant at 15... % 69.30/69.50 % SZS status Theorem % 69.30/69.50 % SZS output start Proof % 69.30/69.50 ( % 69.30/69.50 (declare-sort $$unsorted 0) % 69.30/69.50 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_fNot $$unsorted) % 69.30/69.50 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.v_a____ $$unsorted) % 69.30/69.50 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.tc_HOL_Obool $$unsorted) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.v_F $$unsorted) % 69.30/69.50 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 69.30/69.50 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.tc_Nat_Onat $$unsorted) % 69.30/69.50 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.v_b____ $$unsorted) % 69.30/69.50 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.v_P_H____ $$unsorted) % 69.30/69.50 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.v_c____ $$unsorted) % 69.30/69.50 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.v_P____ $$unsorted) % 69.30/69.50 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow $$unsorted) % 69.30/69.50 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Recdef_Oadm__wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_fequal $$unsorted) % 69.30/69.50 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 69.30/69.50 (declare-const tptp.c_FuncSet_Oextensional__funcset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 69.30/69.50 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 69.30/69.50 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 69.30/69.50 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 69.30/69.50 (define @t1 () (@var "V_g_2" $$unsorted)) % 69.30/69.50 (define @t2 () (@var "V_f_2" $$unsorted)) % 69.30/69.50 (define @t3 () (= @t2 @t1)) % 69.30/69.50 (define @t4 () (@var "B_x" $$unsorted)) % 69.30/69.50 (define @t5 () (tptp.hAPP @t1 @t4)) % 69.30/69.50 (define @t6 () (tptp.hAPP @t2 @t4)) % 69.30/69.50 (define @t7 () (= @t6 @t5)) % 69.30/69.50 (define @t8 () (@list @t4)) % 69.30/69.50 (define @t9 () (not (= tptp.v_a____ tptp.v_b____))) % 69.30/69.50 (define @t10 () (= tptp.v_b____ tptp.v_c____)) % 69.30/69.50 (define @t11 () (= tptp.v_a____ tptp.v_c____)) % 69.30/69.50 (define @t12 () (@var "B_i" $$unsorted)) % 69.30/69.50 (define @t13 () (tptp.hAPP tptp.v_P____ @t12)) % 69.30/69.50 (define @t14 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t13) tptp.v_c____) tptp.v_b____)) % 69.30/69.50 (define @t15 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 69.30/69.50 (define @t16 () (tptp.hAPP @t15 tptp.v_b____)) % 69.30/69.50 (define @t17 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 69.30/69.50 (define @t18 () (tptp.c_member @t17)) % 69.30/69.50 (define @t19 () (tptp.hAPP @t18 (tptp.hAPP @t16 tptp.v_c____))) % 69.30/69.50 (define @t20 () (tptp.hAPP @t15 tptp.v_a____)) % 69.30/69.50 (define @t21 () (tptp.hAPP @t18 (tptp.hAPP @t20 tptp.v_c____))) % 69.30/69.50 (define @t22 () (tptp.hBOOL (tptp.hAPP @t21 @t14))) % 69.30/69.50 (define @t23 () (@list @t12)) % 69.30/69.50 (define @t24 () (tptp.hAPP @t18 (tptp.hAPP @t20 tptp.v_b____))) % 69.30/69.50 (define @t25 () (tptp.hBOOL (tptp.hAPP @t24 @t13))) % 69.30/69.50 (define @t26 () (tptp.tc_fun @t17 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t27 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t26)) % 69.30/69.50 (define @t28 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t27)) % 69.30/69.50 (define @t29 () (tptp.c_COMBB @t26 @t28 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.c_Arrow__Order__Mirabelle_Obelow)) % 69.30/69.50 (define @t30 () (tptp.hAPP @t29 tptp.v_P____)) % 69.30/69.50 (define @t31 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t27)) % 69.30/69.50 (define @t32 () (tptp.hAPP (tptp.hAPP @t31 @t30) tptp.v_c____)) % 69.30/69.50 (define @t33 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t26)) % 69.30/69.50 (define @t34 () (tptp.hAPP (tptp.hAPP @t33 @t32) tptp.v_b____)) % 69.30/69.50 (define @t35 () (tptp.hBOOL (tptp.hAPP @t21 (tptp.hAPP tptp.v_F @t34)))) % 69.30/69.50 (define @t36 () (tptp.hAPP @t29 @t34)) % 69.30/69.50 (define @t37 () (tptp.hAPP (tptp.hAPP @t31 @t36) tptp.v_b____)) % 69.30/69.50 (define @t38 () (tptp.hAPP (tptp.hAPP @t33 @t37) tptp.v_a____)) % 69.30/69.50 (define @t39 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t26)) % 69.30/69.50 (define @t40 () (tptp.c_member @t39)) % 69.30/69.50 (define @t41 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 @t38) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (define @t42 () (@var "V_B_2" $$unsorted)) % 69.30/69.50 (define @t43 () (@var "V_ca_2" $$unsorted)) % 69.30/69.50 (define @t44 () (@var "T_a" $$unsorted)) % 69.30/69.50 (define @t45 () (tptp.c_member @t44)) % 69.30/69.50 (define @t46 () (tptp.hAPP @t45 @t43)) % 69.30/69.50 (define @t47 () (tptp.hBOOL (tptp.hAPP @t46 @t42))) % 69.30/69.50 (define @t48 () (@var "V_A_2" $$unsorted)) % 69.30/69.50 (define @t49 () (tptp.hBOOL (tptp.hAPP @t46 @t48))) % 69.30/69.50 (define @t50 () (=> (not @t49) @t47)) % 69.30/69.50 (define @t51 () (not @t47)) % 69.30/69.50 (define @t52 () (=> @t49 @t51)) % 69.30/69.50 (define @t53 () (= @t48 @t42)) % 69.30/69.50 (define @t54 () (@var "V_S_2" $$unsorted)) % 69.30/69.50 (define @t55 () (@var "V_R_2" $$unsorted)) % 69.30/69.50 (define @t56 () (= @t55 @t54)) % 69.30/69.50 (define @t57 () (@var "T_b" $$unsorted)) % 69.30/69.50 (define @t58 () (tptp.c_Product__Type_OPair @t44 @t57)) % 69.30/69.50 (define @t59 () (tptp.tc_prod @t44 @t57)) % 69.30/69.50 (define @t60 () (tptp.c_member @t59)) % 69.30/69.50 (define @t61 () (tptp.tc_fun @t59 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t62 () (tptp.tc_fun @t61 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t63 () (tptp.tc_fun @t57 @t62)) % 69.30/69.50 (define @t64 () (tptp.tc_fun @t57 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t65 () (tptp.hAPP (tptp.c_COMBC @t44 @t61 @t64) (tptp.hAPP (tptp.c_COMBB @t63 (tptp.tc_fun @t61 @t64) @t44 (tptp.c_COMBC @t57 @t61 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t57 @t59) @t63 @t44 (tptp.c_COMBB @t59 @t62 @t57 @t60)) @t58)))) % 69.30/69.50 (define @t66 () (tptp.hAPP @t65 @t54)) % 69.30/69.50 (define @t67 () (tptp.hAPP @t65 @t55)) % 69.30/69.50 (define @t68 () (@list @t54 @t55 @t57 @t44)) % 69.30/69.50 (define @t69 () (@var "V_L_2" $$unsorted)) % 69.30/69.50 (define @t70 () (@var "V_y_2" $$unsorted)) % 69.30/69.50 (define @t71 () (@var "V_x_2" $$unsorted)) % 69.30/69.50 (define @t72 () (tptp.hAPP @t15 @t71)) % 69.30/69.50 (define @t73 () (tptp.hAPP @t18 (tptp.hAPP @t72 @t70))) % 69.30/69.50 (define @t74 () (tptp.hBOOL (tptp.hAPP @t73 @t69))) % 69.30/69.50 (define @t75 () (@var "V_z_2" $$unsorted)) % 69.30/69.50 (define @t76 () (= @t71 @t75)) % 69.30/69.50 (define @t77 () (not @t76)) % 69.30/69.50 (define @t78 () (= @t71 @t70)) % 69.30/69.50 (define @t79 () (not @t78)) % 69.30/69.50 (define @t80 () (= @t70 @t75)) % 69.30/69.50 (define @t81 () (not @t80)) % 69.30/69.50 (define @t82 () (@list @t75 @t69 @t70 @t71)) % 69.30/69.50 (define @t83 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 @t34) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (define @t84 () (tptp.hAPP @t58 @t71)) % 69.30/69.50 (define @t85 () (tptp.hAPP @t84 @t70)) % 69.30/69.50 (define @t86 () (tptp.hAPP @t60 @t85)) % 69.30/69.50 (define @t87 () (@var "V_P_Ha_2" $$unsorted)) % 69.30/69.50 (define @t88 () (@var "V_b_H_2" $$unsorted)) % 69.30/69.50 (define @t89 () (@var "V_a_H_2" $$unsorted)) % 69.30/69.50 (define @t90 () (tptp.hAPP @t18 (tptp.hAPP (tptp.hAPP @t15 @t89) @t88))) % 69.30/69.50 (define @t91 () (tptp.hBOOL (tptp.hAPP @t90 (tptp.hAPP tptp.v_F @t87)))) % 69.30/69.50 (define @t92 () (@var "V_Pa_2" $$unsorted)) % 69.30/69.50 (define @t93 () (@var "V_ba_2" $$unsorted)) % 69.30/69.50 (define @t94 () (@var "V_aa_2" $$unsorted)) % 69.30/69.50 (define @t95 () (tptp.hAPP @t15 @t94)) % 69.30/69.50 (define @t96 () (tptp.hAPP @t18 (tptp.hAPP @t95 @t93))) % 69.30/69.50 (define @t97 () (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP tptp.v_F @t92)))) % 69.30/69.50 (define @t98 () (= @t97 @t91)) % 69.30/69.50 (define @t99 () (forall @t23 (= (tptp.hBOOL (tptp.hAPP @t96 (tptp.hAPP @t92 @t12))) (tptp.hBOOL (tptp.hAPP @t90 (tptp.hAPP @t87 @t12)))))) % 69.30/69.50 (define @t100 () (=> @t99 @t98)) % 69.30/69.50 (define @t101 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 @t87) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (define @t102 () (=> @t101 @t100)) % 69.30/69.50 (define @t103 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 @t92) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (define @t104 () (=> @t103 @t102)) % 69.30/69.50 (define @t105 () (not (= @t93 @t89))) % 69.30/69.50 (define @t106 () (=> @t105 @t104)) % 69.30/69.50 (define @t107 () (not (= @t94 @t88))) % 69.30/69.50 (define @t108 () (=> @t107 @t106)) % 69.30/69.50 (define @t109 () (not (= @t89 @t88))) % 69.30/69.50 (define @t110 () (=> @t109 @t108)) % 69.30/69.50 (define @t111 () (= @t94 @t93)) % 69.30/69.50 (define @t112 () (not @t111)) % 69.30/69.50 (define @t113 () (=> @t112 @t110)) % 69.30/69.50 (define @t114 () (@list @t87 @t92 @t88 @t89 @t93 @t94)) % 69.30/69.50 (define @t115 () (forall @t114 @t113)) % 69.30/69.50 (define @t116 () (@var "V_y_H_2" $$unsorted)) % 69.30/69.50 (define @t117 () (tptp.c_Product__Type_OPair @t59 @t59)) % 69.30/69.50 (define @t118 () (tptp.c_member (tptp.tc_prod @t59 @t59))) % 69.30/69.50 (define @t119 () (tptp.c_Product__Type_OPair @t57 @t57)) % 69.30/69.50 (define @t120 () (tptp.c_member (tptp.tc_prod @t57 @t57))) % 69.30/69.50 (define @t121 () (tptp.hAPP @t92 @t71)) % 69.30/69.50 (define @t122 () (tptp.hBOOL @t121)) % 69.30/69.50 (define @t123 () (tptp.tc_fun @t44 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t124 () (tptp.hAPP (tptp.c_COMBC @t44 @t123 tptp.tc_HOL_Obool) @t45)) % 69.30/69.50 (define @t125 () (tptp.hAPP @t124 @t54)) % 69.30/69.50 (define @t126 () (tptp.hAPP @t124 @t55)) % 69.30/69.50 (define @t127 () (@list @t54 @t55 @t44)) % 69.30/69.50 (define @t128 () (@var "V_r_2" $$unsorted)) % 69.30/69.50 (define @t129 () (tptp.c_Product__Type_OPair @t44 @t44)) % 69.30/69.50 (define @t130 () (tptp.hAPP @t129 @t4)) % 69.30/69.50 (define @t131 () (tptp.hAPP @t130 @t4)) % 69.30/69.50 (define @t132 () (tptp.tc_prod @t44 @t44)) % 69.30/69.50 (define @t133 () (tptp.c_member @t132)) % 69.30/69.50 (define @t134 () (tptp.hAPP @t133 @t131)) % 69.30/69.50 (define @t135 () (tptp.hBOOL (tptp.hAPP @t134 @t128))) % 69.30/69.50 (define @t136 () (@list @t128 @t44)) % 69.30/69.50 (define @t137 () (tptp.hAPP @t45 @t94)) % 69.30/69.50 (define @t138 () (tptp.hBOOL (tptp.hAPP @t137 @t48))) % 69.30/69.50 (define @t139 () (tptp.hAPP @t45 @t93)) % 69.30/69.50 (define @t140 () (@list @t48 @t44 @t93 @t94)) % 69.30/69.50 (define @t141 () (tptp.hAPP @t45 @t70)) % 69.30/69.50 (define @t142 () (tptp.hBOOL (tptp.hAPP @t141 @t48))) % 69.30/69.50 (define @t143 () (tptp.hAPP @t45 @t71)) % 69.30/69.50 (define @t144 () (tptp.hBOOL (tptp.hAPP @t143 @t48))) % 69.30/69.50 (define @t145 () (tptp.hBOOL (tptp.hAPP @t143 @t42))) % 69.30/69.50 (define @t146 () (@list @t70 @t71 @t44)) % 69.30/69.50 (define @t147 () (tptp.hAPP @t48 @t71)) % 69.30/69.50 (define @t148 () (tptp.hBOOL @t147)) % 69.30/69.50 (define @t149 () (@list @t48 @t71 @t44)) % 69.30/69.50 (define @t150 () (=> @t97 @t91)) % 69.30/69.50 (define @t151 () (=> @t99 @t150)) % 69.30/69.50 (define @t152 () (=> @t101 @t151)) % 69.30/69.50 (define @t153 () (=> @t103 @t152)) % 69.30/69.50 (define @t154 () (=> @t105 @t153)) % 69.30/69.50 (define @t155 () (=> @t107 @t154)) % 69.30/69.50 (define @t156 () (=> @t109 @t155)) % 69.30/69.50 (define @t157 () (=> @t112 @t156)) % 69.30/69.50 (define @t158 () (forall @t114 @t157)) % 69.30/69.50 (define @t159 () (tptp.c_FuncSet_OPi @t39 @t26 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun @t26 tptp.tc_HOL_Obool) @t39 tptp.c_Arrow__Order__Mirabelle_OLin))) % 69.30/69.50 (define @t160 () (tptp.c_member (tptp.tc_fun @t39 @t26))) % 69.30/69.50 (define @t161 () (@var "B_xa" $$unsorted)) % 69.30/69.50 (define @t162 () (@var "V_Fa_2" $$unsorted)) % 69.30/69.50 (define @t163 () (@var "B_b" $$unsorted)) % 69.30/69.50 (define @t164 () (@var "B_a" $$unsorted)) % 69.30/69.50 (define @t165 () (tptp.hAPP @t18 (tptp.hAPP (tptp.hAPP @t15 @t164) @t163))) % 69.30/69.50 (define @t166 () (tptp.hAPP @t162 @t4)) % 69.30/69.50 (define @t167 () (tptp.hBOOL (tptp.hAPP @t165 @t166))) % 69.30/69.50 (define @t168 () (tptp.hBOOL (tptp.hAPP @t165 (tptp.hAPP @t4 @t12)))) % 69.30/69.50 (define @t169 () (@list @t164 @t163)) % 69.30/69.50 (define @t170 () (@list @t161)) % 69.30/69.50 (define @t171 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 @t4) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (define @t172 () (@list @t162)) % 69.30/69.50 (define @t173 () (@var "V_s_2" $$unsorted)) % 69.30/69.50 (define @t174 () (= @t94 @t89)) % 69.30/69.50 (define @t175 () (tptp.hAPP @t129 @t94)) % 69.30/69.50 (define @t176 () (tptp.hAPP (tptp.hAPP @t58 @t89) @t88)) % 69.30/69.50 (define @t177 () (tptp.hAPP @t58 @t94)) % 69.30/69.50 (define @t178 () (tptp.hAPP @t177 @t93)) % 69.30/69.50 (define @t179 () (@var "V_i_2" $$unsorted)) % 69.30/69.50 (define @t180 () (tptp.hAPP @t4 @t179)) % 69.30/69.50 (define @t181 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t162 @t179)) % 69.30/69.50 (define @t182 () (@list @t179 @t162)) % 69.30/69.50 (define @t183 () (= @t71 @t94)) % 69.30/69.50 (define @t184 () (tptp.hAPP @t15 @t93)) % 69.30/69.50 (define @t185 () (= @t70 @t93)) % 69.30/69.50 (define @t186 () (= @t70 @t94)) % 69.30/69.50 (define @t187 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t69)) % 69.30/69.50 (define @t188 () (tptp.c_member @t26)) % 69.30/69.50 (define @t189 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t69) tptp.c_Arrow__Order__Mirabelle_OLin))) % 69.30/69.50 (define @t190 () (@list @t70 @t71 @t69 @t93 @t94)) % 69.30/69.50 (define @t191 () (@var "B_z" $$unsorted)) % 69.30/69.50 (define @t192 () (@var "B_g" $$unsorted)) % 69.30/69.50 (define @t193 () (tptp.hAPP @t192 @t191)) % 69.30/69.50 (define @t194 () (@var "V_a1_2" $$unsorted)) % 69.30/69.50 (define @t195 () (tptp.hAPP @t129 @t191)) % 69.30/69.50 (define @t196 () (@list @t191)) % 69.30/69.50 (define @t197 () (forall @t196 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t195 @t194)) @t55)) (tptp.c_Recdef_Owfrec__rel @t44 @t57 @t55 @t162 @t191 @t193)))) % 69.30/69.50 (define @t198 () (tptp.hAPP @t162 @t192)) % 69.30/69.50 (define @t199 () (tptp.hAPP @t198 @t194)) % 69.30/69.50 (define @t200 () (@var "V_a2_2" $$unsorted)) % 69.30/69.50 (define @t201 () (tptp.hAPP (tptp.hAPP @t162 @t200) @t194)) % 69.30/69.50 (define @t202 () (@list @t192)) % 69.30/69.50 (define @t203 () (@list @t200 @t194 @t162 @t55 @t57 @t44)) % 69.30/69.50 (define @t204 () (@list @t69 @t70 @t71)) % 69.30/69.50 (define @t205 () (@list @t71 @t69)) % 69.30/69.50 (define @t206 () (not @t144)) % 69.30/69.50 (define @t207 () (tptp.hAPP @t42 @t71)) % 69.30/69.50 (define @t208 () (tptp.hAPP @t2 @t71)) % 69.30/69.50 (define @t209 () (tptp.c_member @t57)) % 69.30/69.50 (define @t210 () (tptp.hAPP @t209 @t208)) % 69.30/69.50 (define @t211 () (tptp.hBOOL (tptp.hAPP @t210 @t207))) % 69.30/69.50 (define @t212 () (tptp.c_FuncSet_OPi @t44 @t57 @t48 @t42)) % 69.30/69.50 (define @t213 () (tptp.tc_fun @t44 @t57)) % 69.30/69.50 (define @t214 () (tptp.c_member @t213)) % 69.30/69.50 (define @t215 () (tptp.hAPP @t214 @t2)) % 69.30/69.50 (define @t216 () (tptp.hBOOL (tptp.hAPP @t215 @t212))) % 69.30/69.50 (define @t217 () (@list @t71 @t42 @t48 @t2 @t57 @t44)) % 69.30/69.50 (define @t218 () (= @t71 @t93)) % 69.30/69.50 (define @t219 () (tptp.c_COMBK @t64 @t44 @t42)) % 69.30/69.50 (define @t220 () (tptp.c_FuncSet_OPi @t44 @t57 @t48 @t219)) % 69.30/69.50 (define @t221 () (tptp.hBOOL (tptp.hAPP @t215 @t220))) % 69.30/69.50 (define @t222 () (tptp.c_COMBK @t123 @t44 @t48)) % 69.30/69.50 (define @t223 () (tptp.c_COMBI @t44)) % 69.30/69.50 (define @t224 () (tptp.tc_fun @t44 @t44)) % 69.30/69.50 (define @t225 () (@list @t48 @t44)) % 69.30/69.50 (define @t226 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t195 @t71)) @t55))) % 69.30/69.50 (define @t227 () (tptp.hAPP @t42 @t4)) % 69.30/69.50 (define @t228 () (tptp.hAPP @t209 @t6)) % 69.30/69.50 (define @t229 () (tptp.hAPP @t45 @t4)) % 69.30/69.50 (define @t230 () (tptp.hBOOL (tptp.hAPP @t229 @t48))) % 69.30/69.50 (define @t231 () (forall @t8 (=> @t230 (tptp.hBOOL (tptp.hAPP @t228 @t227))))) % 69.30/69.50 (define @t232 () (@list @t42 @t2 @t57 @t48 @t44)) % 69.30/69.50 (define @t233 () (forall @t8 (=> @t230 (tptp.hBOOL (tptp.hAPP @t228 @t42))))) % 69.30/69.50 (define @t234 () (tptp.hAPP @t214 @t1)) % 69.30/69.50 (define @t235 () (@var "B_w" $$unsorted)) % 69.30/69.50 (define @t236 () (@var "V_C_2" $$unsorted)) % 69.30/69.50 (define @t237 () (@var "T_c" $$unsorted)) % 69.30/69.50 (define @t238 () (tptp.tc_fun @t237 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t239 () (tptp.c_COMBK @t238 @t44 @t236)) % 69.30/69.50 (define @t240 () (tptp.c_FuncSet_Ocompose @t44 @t57 @t237 @t48 @t1 @t2)) % 69.30/69.50 (define @t241 () (tptp.c_COMBK @t238 @t57 @t236)) % 69.30/69.50 (define @t242 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t57 @t237)) @t1) (tptp.c_FuncSet_OPi @t57 @t237 @t42 @t241)))) % 69.30/69.50 (define @t243 () (@var "V_h_2" $$unsorted)) % 69.30/69.50 (define @t244 () (@var "T_d" $$unsorted)) % 69.30/69.50 (define @t245 () (@var "V_D_2" $$unsorted)) % 69.30/69.50 (define @t246 () (tptp.c_Wellfounded_Oacc @t44 @t128)) % 69.30/69.50 (define @t247 () (tptp.hBOOL (tptp.hAPP @t137 @t246))) % 69.30/69.50 (define @t248 () (tptp.hAPP @t175 @t93)) % 69.30/69.50 (define @t249 () (tptp.hAPP @t133 @t248)) % 69.30/69.50 (define @t250 () (tptp.hBOOL (tptp.hAPP @t249 @t128))) % 69.30/69.50 (define @t251 () (tptp.hBOOL (tptp.hAPP @t139 @t246))) % 69.30/69.50 (define @t252 () (@list @t128 @t94 @t44)) % 69.30/69.50 (define @t253 () (tptp.c_Recdef_Ocut @t44 @t57)) % 69.30/69.50 (define @t254 () (tptp.hAPP (tptp.hAPP @t253 @t2) @t128)) % 69.30/69.50 (define @t255 () (tptp.hAPP @t129 @t71)) % 69.30/69.50 (define @t256 () (tptp.hAPP @t133 (tptp.hAPP @t255 @t94))) % 69.30/69.50 (define @t257 () (tptp.c_FuncSet_Ocompose @t44 @t237 @t57 @t48 @t1 @t2)) % 69.30/69.50 (define @t258 () (@var "B_f" $$unsorted)) % 69.30/69.50 (define @t259 () (@var "B_R" $$unsorted)) % 69.30/69.50 (define @t260 () (@var "B_y" $$unsorted)) % 69.30/69.50 (define @t261 () (tptp.hAPP @t129 @t260)) % 69.30/69.50 (define @t262 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t261 @t71)) @t128))) % 69.30/69.50 (define @t263 () (@list @t260)) % 69.30/69.50 (define @t264 () (tptp.hAPP @t254 @t71)) % 69.30/69.50 (define @t265 () (tptp.tc_fun @t44 @t213)) % 69.30/69.50 (define @t266 () (tptp.tc_fun @t132 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t267 () (@list @t162 @t55 @t57 @t44)) % 69.30/69.50 (define @t268 () (tptp.hBOOL (tptp.hAPP @t143 @t246))) % 69.30/69.50 (define @t269 () (tptp.tc_fun @t266 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t270 () (tptp.tc_fun @t44 @t269)) % 69.30/69.50 (define @t271 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t44 @t266 @t123) (tptp.hAPP (tptp.c_COMBB @t270 (tptp.tc_fun @t266 @t123) @t44 (tptp.c_COMBC @t44 @t266 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t44 @t132) @t270 @t44 (tptp.c_COMBB @t132 @t269 @t44 @t133)) @t129))) @t128)) % 69.30/69.50 (define @t272 () (tptp.c_Wellfounded_Oacc @t44 @t55)) % 69.30/69.50 (define @t273 () (tptp.c_HOL_Oundefined @t57)) % 69.30/69.50 (define @t274 () (tptp.hAPP @t264 @t70)) % 69.30/69.50 (define @t275 () (tptp.hAPP @t129 @t70)) % 69.30/69.50 (define @t276 () (tptp.hAPP @t275 @t71)) % 69.30/69.50 (define @t277 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 @t276) @t128))) % 69.30/69.50 (define @t278 () (tptp.hAPP @t2 @t70)) % 69.30/69.50 (define @t279 () (tptp.c_FuncSet_Oextensional @t44 @t57 @t48)) % 69.30/69.50 (define @t280 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t128)) % 69.30/69.50 (define @t281 () (tptp.hAPP @t129 @t93)) % 69.30/69.50 (define @t282 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t281 @t94)) @t280))) % 69.30/69.50 (define @t283 () (tptp.c_Wellfounded_Oaccp @t44 @t128)) % 69.30/69.50 (define @t284 () (tptp.hBOOL (tptp.hAPP @t283 @t94))) % 69.30/69.50 (define @t285 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t94) @t93))) % 69.30/69.50 (define @t286 () (tptp.hBOOL (tptp.hAPP @t283 @t93))) % 69.30/69.50 (define @t287 () (@list @t94 @t93 @t128 @t44)) % 69.30/69.50 (define @t288 () (@list @t94 @t128 @t44)) % 69.30/69.50 (define @t289 () (= @t208 @t273)) % 69.30/69.50 (define @t290 () (tptp.hBOOL (tptp.hAPP @t215 @t279))) % 69.30/69.50 (define @t291 () (tptp.hAPP @t133 (tptp.hAPP @t175 @t94))) % 69.30/69.50 (define @t292 () (@var "V_p_2" $$unsorted)) % 69.30/69.50 (define @t293 () (tptp.hAPP @t133 @t292)) % 69.30/69.50 (define @t294 () (tptp.hBOOL (tptp.hAPP @t293 @t128))) % 69.30/69.50 (define @t295 () (@list @t128 @t292 @t44)) % 69.30/69.50 (define @t296 () (tptp.hAPP @t133 (tptp.hAPP @t175 @t43))) % 69.30/69.50 (define @t297 () (tptp.hBOOL (tptp.hAPP @t296 @t280))) % 69.30/69.50 (define @t298 () (tptp.hAPP @t133 (tptp.hAPP @t281 @t43))) % 69.30/69.50 (define @t299 () (tptp.hBOOL (tptp.hAPP @t298 @t280))) % 69.30/69.50 (define @t300 () (=> @t299 @t297)) % 69.30/69.50 (define @t301 () (tptp.hBOOL (tptp.hAPP @t249 @t280))) % 69.30/69.50 (define @t302 () (@list @t43 @t128 @t93 @t94 @t44)) % 69.30/69.50 (define @t303 () (tptp.hBOOL (tptp.hAPP @t298 @t128))) % 69.30/69.50 (define @t304 () (@list @t42 @t48 @t2 @t57 @t44)) % 69.30/69.50 (define @t305 () (tptp.hBOOL (tptp.hAPP @t234 @t279))) % 69.30/69.50 (define @t306 () (tptp.c_FuncSet_Orestrict @t44 @t57 @t2 @t48)) % 69.30/69.50 (define @t307 () (@list @t48 @t2 @t57 @t44)) % 69.30/69.50 (define @t308 () (tptp.hAPP @t214 @t306)) % 69.30/69.50 (define @t309 () (tptp.hAPP @t306 @t71)) % 69.30/69.50 (define @t310 () (tptp.hAPP @t133 (tptp.hAPP @t275 @t75))) % 69.30/69.50 (define @t311 () (tptp.hAPP @t133 (tptp.hAPP @t255 @t75))) % 69.30/69.50 (define @t312 () (tptp.hBOOL (tptp.hAPP @t311 @t280))) % 69.30/69.50 (define @t313 () (tptp.hAPP @t133 (tptp.hAPP @t255 @t70))) % 69.30/69.50 (define @t314 () (tptp.hBOOL (tptp.hAPP @t313 @t280))) % 69.30/69.50 (define @t315 () (@list @t75 @t70 @t71 @t128 @t44)) % 69.30/69.50 (define @t316 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t55)) % 69.30/69.50 (define @t317 () (tptp.hBOOL (tptp.hAPP @t313 @t316))) % 69.30/69.50 (define @t318 () (tptp.hBOOL (tptp.hAPP @t143 @t54))) % 69.30/69.50 (define @t319 () (not @t318)) % 69.30/69.50 (define @t320 () (@var "V_T_2" $$unsorted)) % 69.30/69.50 (define @t321 () (tptp.c_FuncSet_Oextensional__funcset @t44 @t57 @t54 @t320)) % 69.30/69.50 (define @t322 () (tptp.hBOOL (tptp.hAPP @t215 @t321))) % 69.30/69.50 (define @t323 () (@list @t71 @t320 @t54 @t2 @t57 @t44)) % 69.30/69.50 (define @t324 () (tptp.c_Transitive__Closure_Ortrancl @t59 @t128)) % 69.30/69.50 (define @t325 () (@var "V_zb_2" $$unsorted)) % 69.30/69.50 (define @t326 () (@var "V_za_2" $$unsorted)) % 69.30/69.50 (define @t327 () (tptp.hAPP (tptp.hAPP @t58 @t326) @t325)) % 69.30/69.50 (define @t328 () (tptp.hAPP (tptp.hAPP @t58 @t164) @t163)) % 69.30/69.50 (define @t329 () (tptp.hAPP @t117 @t328)) % 69.30/69.50 (define @t330 () (@var "V_xb_2" $$unsorted)) % 69.30/69.50 (define @t331 () (@var "V_xa_2" $$unsorted)) % 69.30/69.50 (define @t332 () (tptp.hAPP (tptp.hAPP @t58 @t331) @t330)) % 69.30/69.50 (define @t333 () (tptp.hAPP @t117 @t332)) % 69.30/69.50 (define @t334 () (@var "V_ay_2" $$unsorted)) % 69.30/69.50 (define @t335 () (@var "V_ax_2" $$unsorted)) % 69.30/69.50 (define @t336 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t92 @t335) @t334))) % 69.30/69.50 (define @t337 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t92 @t164) @t163))) % 69.30/69.50 (define @t338 () (@var "B_ba" $$unsorted)) % 69.30/69.50 (define @t339 () (@var "B_aa" $$unsorted)) % 69.30/69.50 (define @t340 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t92 @t339) @t338))) % 69.30/69.50 (define @t341 () (@var "V_by_2" $$unsorted)) % 69.30/69.50 (define @t342 () (@var "V_bx_2" $$unsorted)) % 69.30/69.50 (define @t343 () (tptp.hAPP (tptp.hAPP @t58 @t342) @t341)) % 69.30/69.50 (define @t344 () (tptp.hAPP (tptp.hAPP @t58 @t339) @t338)) % 69.30/69.50 (define @t345 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t329 @t344)) @t128))) % 69.30/69.50 (define @t346 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t92 @t342) @t341))) % 69.30/69.50 (define @t347 () (tptp.hAPP @t117 (tptp.hAPP (tptp.hAPP @t58 @t335) @t334))) % 69.30/69.50 (define @t348 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t347 @t343)) @t324))) % 69.30/69.50 (define @t349 () (@list @t92 @t128 @t341 @t342 @t334 @t335 @t57 @t44)) % 69.30/69.50 (define @t350 () (tptp.c_Relation_ODomain @t44 @t57 @t128)) % 69.30/69.50 (define @t351 () (tptp.hBOOL (tptp.hAPP @t137 @t350))) % 69.30/69.50 (define @t352 () (tptp.hAPP @t60 @t178)) % 69.30/69.50 (define @t353 () (tptp.hBOOL (tptp.hAPP @t352 @t128))) % 69.30/69.50 (define @t354 () (@list @t128 @t93 @t94 @t57 @t44)) % 69.30/69.50 (define @t355 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t177 @t260)) @t128))) % 69.30/69.50 (define @t356 () (@list @t128 @t57 @t94 @t44)) % 69.30/69.50 (define @t357 () (tptp.c_Relation_Osingle__valued @t44 @t57 @t128)) % 69.30/69.50 (define @t358 () (tptp.hAPP @t58 @t4)) % 69.30/69.50 (define @t359 () (tptp.hAPP @t358 @t191)) % 69.30/69.50 (define @t360 () (tptp.hAPP @t358 @t260)) % 69.30/69.50 (define @t361 () (forall (@list @t4 @t260) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t360) @t128)) (forall @t196 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t359) @t128)) (= @t260 @t191)))))) % 69.30/69.50 (define @t362 () (@list @t128 @t57 @t44)) % 69.30/69.50 (define @t363 () (tptp.hAPP @t65 @t128)) % 69.30/69.50 (define @t364 () (@list @t71 @t128 @t57 @t44)) % 69.30/69.50 (define @t365 () (@list @t57 @t44 @t93 @t94 @t128)) % 69.30/69.50 (define @t366 () (tptp.c_Relation_ORange @t44 @t57 @t128)) % 69.30/69.50 (define @t367 () (tptp.hAPP @t209 @t93)) % 69.30/69.50 (define @t368 () (tptp.c_Relation_OId__on @t44 @t48)) % 69.30/69.50 (define @t369 () (@list @t48 @t70 @t71 @t44)) % 69.30/69.50 (define @t370 () (tptp.tc_fun @t213 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t371 () (tptp.hBOOL (tptp.hAPP @t92 @t93))) % 69.30/69.50 (define @t372 () (tptp.hBOOL (tptp.hAPP @t92 @t191))) % 69.30/69.50 (define @t373 () (tptp.hBOOL (tptp.hAPP @t92 @t260))) % 69.30/69.50 (define @t374 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t261 @t191)) @t128))) % 69.30/69.50 (define @t375 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t175 @t260)) @t280))) % 69.30/69.50 (define @t376 () (tptp.hBOOL (tptp.hAPP @t92 @t94))) % 69.30/69.50 (define @t377 () (@list @t92 @t128 @t93 @t94 @t44)) % 69.30/69.50 (define @t378 () (tptp.hBOOL @t207)) % 69.30/69.50 (define @t379 () (not @t378)) % 69.30/69.50 (define @t380 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t123)) % 69.30/69.50 (define @t381 () (tptp.hAPP @t380 @t48)) % 69.30/69.50 (define @t382 () (tptp.hAPP @t381 @t42)) % 69.30/69.50 (define @t383 () (tptp.hBOOL (tptp.hAPP @t382 @t71))) % 69.30/69.50 (define @t384 () (@list @t71 @t42 @t48 @t44)) % 69.30/69.50 (define @t385 () (tptp.hBOOL (tptp.hAPP @t46 @t382))) % 69.30/69.50 (define @t386 () (@list @t42 @t48 @t43 @t44)) % 69.30/69.50 (define @t387 () (tptp.hAPP @t380 @t42)) % 69.30/69.50 (define @t388 () (tptp.hAPP @t387 @t236)) % 69.30/69.50 (define @t389 () (tptp.hAPP @t381 @t388)) % 69.30/69.50 (define @t390 () (@list @t236 @t42 @t48 @t44)) % 69.30/69.50 (define @t391 () (tptp.hAPP @t381 @t236)) % 69.30/69.50 (define @t392 () (@list @t42 @t48 @t44)) % 69.30/69.50 (define @t393 () (tptp.hAPP @t387 @t48)) % 69.30/69.50 (define @t394 () (@list @t71 @t54 @t55 @t44)) % 69.30/69.50 (define @t395 () (tptp.c_Product__Type_OPair @t57 @t44)) % 69.30/69.50 (define @t396 () (tptp.tc_prod @t57 @t44)) % 69.30/69.50 (define @t397 () (tptp.c_member @t396)) % 69.30/69.50 (define @t398 () (tptp.c_Relation_ORange @t57 @t44 @t128)) % 69.30/69.50 (define @t399 () (tptp.hAPP @t1 @t71)) % 69.30/69.50 (define @t400 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t44)) % 69.30/69.50 (define @t401 () (tptp.tc_fun @t57 @t44)) % 69.30/69.50 (define @t402 () (tptp.class_Lattices_Olattice @t44)) % 69.30/69.50 (define @t403 () (@list @t71 @t1 @t2 @t57 @t44)) % 69.30/69.50 (define @t404 () (@list @t128 @t93 @t94 @t44)) % 69.30/69.50 (define @t405 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t61)) % 69.30/69.50 (define @t406 () (tptp.tc_fun @t44 @t64)) % 69.30/69.50 (define @t407 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t406)) % 69.30/69.50 (define @t408 () (@var "V_z" $$unsorted)) % 69.30/69.50 (define @t409 () (@var "V_y" $$unsorted)) % 69.30/69.50 (define @t410 () (tptp.hAPP @t400 @t409)) % 69.30/69.50 (define @t411 () (tptp.hAPP @t410 @t408)) % 69.30/69.50 (define @t412 () (@var "V_x" $$unsorted)) % 69.30/69.50 (define @t413 () (tptp.hAPP @t400 @t412)) % 69.30/69.50 (define @t414 () (tptp.hAPP @t413 @t411)) % 69.30/69.50 (define @t415 () (tptp.hAPP @t413 @t409)) % 69.30/69.50 (define @t416 () (= (tptp.hAPP (tptp.hAPP @t400 @t415) @t408) @t414)) % 69.30/69.50 (define @t417 () (tptp.class_Lattices_Osemilattice__inf @t44)) % 69.30/69.50 (define @t418 () (@list @t408 @t409 @t412 @t44)) % 69.30/69.50 (define @t419 () (@var "V_c" $$unsorted)) % 69.30/69.50 (define @t420 () (@var "V_b" $$unsorted)) % 69.30/69.50 (define @t421 () (tptp.hAPP @t400 @t420)) % 69.30/69.50 (define @t422 () (@var "V_a" $$unsorted)) % 69.30/69.50 (define @t423 () (tptp.hAPP @t400 @t422)) % 69.30/69.50 (define @t424 () (tptp.hAPP @t423 (tptp.hAPP @t421 @t419))) % 69.30/69.50 (define @t425 () (tptp.hAPP @t423 @t420)) % 69.30/69.50 (define @t426 () (@list @t419 @t420 @t422 @t44)) % 69.30/69.50 (define @t427 () (tptp.hAPP @t413 @t408)) % 69.30/69.50 (define @t428 () (= @t414 (tptp.hAPP @t410 @t427))) % 69.30/69.50 (define @t429 () (@list @t419 @t422 @t420 @t44)) % 69.30/69.50 (define @t430 () (= (tptp.hAPP @t413 @t415) @t415)) % 69.30/69.50 (define @t431 () (@list @t409 @t412 @t44)) % 69.30/69.50 (define @t432 () (@list @t420 @t422 @t44)) % 69.30/69.50 (define @t433 () (tptp.hAPP @t410 @t412)) % 69.30/69.50 (define @t434 () (= @t415 @t433)) % 69.30/69.50 (define @t435 () (= (tptp.hAPP @t413 @t412) @t412)) % 69.30/69.50 (define @t436 () (@list @t412 @t44)) % 69.30/69.50 (define @t437 () (@list @t422 @t44)) % 69.30/69.50 (define @t438 () (not (= @t4 @t161))) % 69.30/69.50 (define @t439 () (tptp.hAPP @t45 @t161)) % 69.30/69.50 (define @t440 () (@list @t128 @t48 @t44)) % 69.30/69.50 (define @t441 () (tptp.hBOOL (tptp.hAPP @t313 @t128))) % 69.30/69.50 (define @t442 () (tptp.c_Relation_Orefl__on @t44 @t48 @t128)) % 69.30/69.50 (define @t443 () (@list @t70 @t71 @t128 @t48 @t44)) % 69.30/69.50 (define @t444 () (tptp.hBOOL (tptp.hAPP @t207 @t70))) % 69.30/69.50 (define @t445 () (tptp.hBOOL (tptp.hAPP @t147 @t70))) % 69.30/69.50 (define @t446 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t407 @t48) @t42) @t71) @t70))) % 69.30/69.50 (define @t447 () (@list @t70 @t71 @t42 @t48 @t57 @t44)) % 69.30/69.50 (define @t448 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t266)) % 69.30/69.50 (define @t449 () (tptp.c_Relation_Orefl__on @t44 @t42 @t173)) % 69.30/69.50 (define @t450 () (@list @t173 @t42 @t128 @t48 @t44)) % 69.30/69.50 (define @t451 () (tptp.c_Transitive__Closure_Otrancl @t44 @t128)) % 69.30/69.50 (define @t452 () (tptp.hBOOL (tptp.hAPP @t249 @t451))) % 69.30/69.50 (define @t453 () (tptp.c_Relation_ORange @t57 @t44 @t42)) % 69.30/69.50 (define @t454 () (tptp.c_Relation_ORange @t57 @t44 @t48)) % 69.30/69.50 (define @t455 () (tptp.tc_fun @t396 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t456 () (@list @t42 @t48 @t57 @t44)) % 69.30/69.50 (define @t457 () (tptp.c_Relation_ODomain @t44 @t57 @t42)) % 69.30/69.50 (define @t458 () (tptp.c_Relation_ODomain @t44 @t57 @t48)) % 69.30/69.50 (define @t459 () (tptp.c_Relation_OId @t44)) % 69.30/69.50 (define @t460 () (@list @t94 @t44)) % 69.30/69.50 (define @t461 () (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t42 @t48)) % 69.30/69.50 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t48 @t42)) % 69.30/69.50 (define @t463 () (tptp.c_Transitive__Closure_Ortranclp @t44 @t128)) % 69.30/69.50 (define @t464 () (tptp.hAPP @t463 @t94)) % 69.30/69.50 (define @t465 () (tptp.hAPP @t463 @t71)) % 69.30/69.50 (define @t466 () (tptp.hBOOL (tptp.hAPP @t465 @t70))) % 69.30/69.50 (define @t467 () (@var "V_R1_2" $$unsorted)) % 69.30/69.50 (define @t468 () (@var "V_R2_2" $$unsorted)) % 69.30/69.50 (define @t469 () (@list @t468 @t467 @t44)) % 69.30/69.50 (define @t470 () (@var "V_A_H_2" $$unsorted)) % 69.30/69.50 (define @t471 () (@list @t44 @t42 @t48)) % 69.30/69.50 (define @t472 () (@var "V_Q_2" $$unsorted)) % 69.30/69.50 (define @t473 () (tptp.hAPP @t472 @t71)) % 69.30/69.50 (define @t474 () (tptp.hBOOL @t473)) % 69.30/69.50 (define @t475 () (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t92 @t472)) % 69.30/69.50 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t48 @t236)) % 69.30/69.50 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t42 @t236)) % 69.30/69.50 (define @t478 () (@var "V_a3_2" $$unsorted)) % 69.30/69.50 (define @t479 () (tptp.hAPP @t463 @t194)) % 69.30/69.50 (define @t480 () (@list @t163)) % 69.30/69.50 (define @t481 () (tptp.hBOOL (tptp.hAPP @t464 @t43))) % 69.30/69.50 (define @t482 () (tptp.hAPP @t463 @t93)) % 69.30/69.50 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t128 @t173)) % 69.30/69.50 (define @t484 () (tptp.hBOOL (tptp.hAPP @t293 @t451))) % 69.30/69.50 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq @t61 @t128 @t173)) % 69.30/69.50 (define @t486 () (@list @t173 @t128 @t57 @t44)) % 69.30/69.50 (define @t487 () (@list @t42 @t48 @t71 @t44)) % 69.30/69.50 (define @t488 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t415 @t412)) % 69.30/69.50 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t415 @t409)) % 69.30/69.50 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t71 @t70)) % 69.30/69.50 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t71 @t75)) % 69.30/69.50 (define @t492 () (@list @t75 @t70 @t71 @t44)) % 69.30/69.50 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t425 @t412)) % 69.30/69.50 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t422 @t412)) % 69.30/69.50 (define @t495 () (@list @t420 @t412 @t422 @t44)) % 69.30/69.50 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t420 @t412)) % 69.30/69.50 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t409)) % 69.30/69.50 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t409 @t412)) % 69.30/69.50 (define @t499 () (@list @t412 @t409 @t44)) % 69.30/69.50 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t425)) % 69.30/69.50 (define @t501 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t420)) % 69.30/69.50 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t422)) % 69.30/69.50 (define @t503 () (@list @t420 @t422 @t412 @t44)) % 69.30/69.50 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t408)) % 69.30/69.50 (define @t505 () (@var "V_d" $$unsorted)) % 69.30/69.50 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t420 @t505)) % 69.30/69.50 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t422 @t419)) % 69.30/69.50 (define @t508 () (@list @t505 @t420 @t419 @t422 @t44)) % 69.30/69.50 (define @t509 () (@list @t55 @t44)) % 69.30/69.50 (define @t510 () (tptp.c_Transitive__Closure_Otrancl @t44 @t55)) % 69.30/69.50 (define @t511 () (@list @t48 @t42 @t44)) % 69.30/69.50 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t236 @t48)) % 69.30/69.50 (define @t513 () (tptp.hAPP @t380 @t236)) % 69.30/69.50 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t42 @t245)) % 69.30/69.50 (define @t515 () (@list @t245 @t42 @t236 @t48 @t44)) % 69.30/69.50 (define @t516 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t173)) % 69.30/69.50 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t280 @t516)) % 69.30/69.50 (define @t518 () (@list @t173 @t128 @t44)) % 69.30/69.50 (define @t519 () (tptp.c_Transitive__Closure_Ortrancl @t44 @t54)) % 69.30/69.50 (define @t520 () (tptp.c_Relation_ODomain @t44 @t44 @t128)) % 69.30/69.50 (define @t521 () (tptp.c_Relation_ORange @t44 @t44 @t128)) % 69.30/69.50 (define @t522 () (tptp.hBOOL (tptp.hAPP @t482 @t94))) % 69.30/69.50 (define @t523 () (@list @t44)) % 69.30/69.50 (define @t524 () (tptp.tc_fun @t44 @t123)) % 69.30/69.50 (define @t525 () (tptp.hBOOL (tptp.hAPP @t296 @t451))) % 69.30/69.50 (define @t526 () (=> (tptp.hBOOL (tptp.hAPP @t298 @t451)) @t525)) % 69.30/69.50 (define @t527 () (=> @t303 @t525)) % 69.30/69.50 (define @t528 () (@list @t93 @t94 @t44)) % 69.30/69.50 (define @t529 () (tptp.hBOOL (tptp.hAPP @t313 @t510))) % 69.30/69.50 (define @t530 () (@list @t55 @t70 @t71 @t44)) % 69.30/69.50 (define @t531 () (=> @t299 @t525)) % 69.30/69.50 (define @t532 () (tptp.class_Orderings_Opreorder @t44)) % 69.30/69.50 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t213 @t2 @t1)) % 69.30/69.50 (define @t534 () (tptp.class_Orderings_Oord @t57)) % 69.30/69.50 (define @t535 () (tptp.hAPP @t133 (tptp.hAPP @t195 @t70))) % 69.30/69.50 (define @t536 () (tptp.hAPP @t133 (tptp.hAPP @t255 @t191))) % 69.30/69.50 (define @t537 () (tptp.c_Transitive__Closure_Ortranclp @t44 @t55)) % 69.30/69.50 (define @t538 () (tptp.c_Transitive__Closure_Ortranclp @t44 @t54)) % 69.30/69.50 (define @t539 () (tptp.class_Orderings_Olinorder @t44)) % 69.30/69.50 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t70 @t71)) % 69.30/69.50 (define @t541 () (tptp.class_Orderings_Oorder @t44)) % 69.30/69.50 (define @t542 () (= @t412 @t409)) % 69.30/69.50 (define @t543 () (= @t422 @t420)) % 69.30/69.50 (define @t544 () (tptp.class_Orderings_Oord @t44)) % 69.30/69.50 (define @t545 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t419 @t422)) % 69.30/69.50 (define @t546 () (= @t420 @t419)) % 69.30/69.50 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t408 @t412)) % 69.30/69.50 (define @t548 () (@list @t408 @t412 @t409 @t44)) % 69.30/69.50 (define @t549 () (tptp.hBOOL (tptp.hAPP @t473 @t70))) % 69.30/69.50 (define @t550 () (tptp.hBOOL (tptp.hAPP @t121 @t70))) % 69.30/69.50 (define @t551 () (tptp.c_Orderings_Oord__class_Oless__eq @t406 @t92 @t472)) % 69.30/69.50 (define @t552 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t134 @t451))))) % 69.30/69.50 (define @t553 () (tptp.c_Wellfounded_Oacyclic @t44 @t128)) % 69.30/69.50 (define @t554 () (or @t111 @t138)) % 69.30/69.50 (define @t555 () (tptp.c_Product__Type_OSigma @t44 @t44 @t48 @t222)) % 69.30/69.50 (define @t556 () (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t128 @t555)) % 69.30/69.50 (define @t557 () (@list @t128 @t173 @t44)) % 69.30/69.50 (define @t558 () (tptp.c_Relation_Orel__comp @t44 @t57 @t237 @t128 @t173)) % 69.30/69.50 (define @t559 () (tptp.c_Product__Type_OPair @t44 @t237)) % 69.30/69.50 (define @t560 () (tptp.tc_prod @t44 @t237)) % 69.30/69.50 (define @t561 () (tptp.c_member @t560)) % 69.30/69.50 (define @t562 () (tptp.c_Product__Type_OPair @t57 @t237)) % 69.30/69.50 (define @t563 () (tptp.tc_prod @t57 @t237)) % 69.30/69.50 (define @t564 () (tptp.c_member @t563)) % 69.30/69.50 (define @t565 () (tptp.tc_fun @t560 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t566 () (tptp.tc_fun @t563 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t567 () (tptp.c_Product__Type_OSigma @t44 @t57 @t48 @t219)) % 69.30/69.50 (define @t568 () (@var "V_s_H_2" $$unsorted)) % 69.30/69.50 (define @t569 () (@var "V_r_H_2" $$unsorted)) % 69.30/69.50 (define @t570 () (@list @t55 @t57 @t44)) % 69.30/69.50 (define @t571 () (tptp.c_Relation_Orel__comp @t44 @t44 @t44 @t280 @t128)) % 69.30/69.50 (define @t572 () (tptp.c_Relation_Orel__comp @t44 @t44 @t44 @t128 @t280)) % 69.30/69.50 (define @t573 () (@list @t48 @t128 @t44)) % 69.30/69.50 (define @t574 () (forall @t8 (=> @t230 @t135))) % 69.30/69.50 (define @t575 () (tptp.c_Product__Type_OSigma @t44 @t57 @t48 @t42)) % 69.30/69.50 (define @t576 () (tptp.hBOOL (tptp.hAPP @t352 @t575))) % 69.30/69.50 (define @t577 () (tptp.hBOOL (tptp.hAPP @t367 (tptp.hAPP @t42 @t94)))) % 69.30/69.50 (define @t578 () (tptp.c_COMBK @t123 @t57 @t236)) % 69.30/69.50 (define @t579 () (tptp.c_Product__Type_OSigma @t57 @t44 @t42 @t578)) % 69.30/69.50 (define @t580 () (tptp.c_Product__Type_OSigma @t57 @t44 @t48 @t578)) % 69.30/69.50 (define @t581 () (tptp.hBOOL (tptp.hAPP @t143 @t236))) % 69.30/69.50 (define @t582 () (@list @t42 @t48 @t57 @t236 @t71 @t44)) % 69.30/69.50 (define @t583 () (@list @t42 @t48 @t93 @t94 @t57 @t44)) % 69.30/69.50 (define @t584 () (@var "B_x1" $$unsorted)) % 69.30/69.50 (define @t585 () (@var "V_b_H" $$unsorted)) % 69.30/69.50 (define @t586 () (@var "V_a_H" $$unsorted)) % 69.30/69.50 (define @t587 () (@var "V_J_2" $$unsorted)) % 69.30/69.50 (define @t588 () (tptp.c_Product__Type_OSigma @t44 @t57 @t587 @t236)) % 69.30/69.50 (define @t589 () (@var "V_I_2" $$unsorted)) % 69.30/69.50 (define @t590 () (tptp.c_Product__Type_OSigma @t44 @t57 @t589 @t236)) % 69.30/69.50 (define @t591 () (@list @t236 @t587 @t589 @t57 @t44)) % 69.30/69.50 (define @t592 () (tptp.c_COMBK @t64 @t44 @t236)) % 69.30/69.50 (define @t593 () (tptp.c_Product__Type_OSigma @t44 @t57 @t42 @t592)) % 69.30/69.50 (define @t594 () (tptp.c_Product__Type_OSigma @t44 @t57 @t48 @t592)) % 69.30/69.50 (define @t595 () (@list @t236 @t42 @t48 @t57 @t44)) % 69.30/69.50 (define @t596 () (tptp.c_Product__Type_OSigma @t44 @t57 @t589 @t42)) % 69.30/69.50 (define @t597 () (tptp.c_Product__Type_OSigma @t44 @t57 @t589 @t48)) % 69.30/69.50 (define @t598 () (tptp.tc_fun @t64 @t64)) % 69.30/69.50 (define @t599 () (tptp.c_COMBS @t44 @t64 @t64)) % 69.30/69.50 (define @t600 () (@list @t42 @t48 @t589 @t57 @t44)) % 69.30/69.50 (define @t601 () (@var "V_f1_2" $$unsorted)) % 69.30/69.50 (define @t602 () (tptp.hAPP (tptp.hAPP @t562 @t94) @t93)) % 69.30/69.50 (define @t603 () (tptp.tc_fun @t566 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t604 () (tptp.tc_fun @t237 @t603)) % 69.30/69.50 (define @t605 () (tptp.c_Predicate_Opred__comp @t44 @t57 @t237 @t128 @t173)) % 69.30/69.50 (define @t606 () (tptp.tc_prod @t237 @t57)) % 69.30/69.50 (define @t607 () (@var "V_xz_2" $$unsorted)) % 69.30/69.50 (define @t608 () (tptp.c_Relation_OField @t44 @t128)) % 69.30/69.50 (define @t609 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t44 @t57 tptp.tc_HOL_Obool @t2 @t94 @t93))) % 69.30/69.50 (define @t610 () (tptp.hBOOL (tptp.hAPP @t2 @t178))) % 69.30/69.50 (define @t611 () (tptp.c_Set_Oinsert @t44 @t93 @t42)) % 69.30/69.50 (define @t612 () (tptp.hBOOL (tptp.hAPP @t137 @t611))) % 69.30/69.50 (define @t613 () (tptp.hBOOL (tptp.hAPP @t137 @t42))) % 69.30/69.50 (define @t614 () (@list @t93 @t42 @t94 @t44)) % 69.30/69.50 (define @t615 () (tptp.hBOOL (tptp.hAPP @t137 (tptp.c_Set_Oinsert @t44 @t93 @t48)))) % 69.30/69.50 (define @t616 () (@list @t48 @t93 @t94 @t44)) % 69.30/69.50 (define @t617 () (tptp.c_Set_Oinsert @t44 @t94 @t382)) % 69.30/69.50 (define @t618 () (tptp.c_Set_Oinsert @t44 @t94 @t42)) % 69.30/69.50 (define @t619 () (tptp.c_Set_Oinsert @t44 @t94 @t48)) % 69.30/69.50 (define @t620 () (@list @t42 @t48 @t94 @t44)) % 69.30/69.50 (define @t621 () (tptp.c_Set_Oinsert @t44 @t71 @t48)) % 69.30/69.50 (define @t622 () (tptp.c_Set_Oinsert @t44 @t70 @t48)) % 69.30/69.50 (define @t623 () (@list @t48 @t94 @t44)) % 69.30/69.50 (define @t624 () (tptp.c_Set_Oinsert @t44 @t71 @t42)) % 69.30/69.50 (define @t625 () (tptp.hAPP (tptp.hAPP @t380 @t618) @t236)) % 69.30/69.50 (define @t626 () (tptp.hBOOL (tptp.hAPP @t137 @t236))) % 69.30/69.50 (define @t627 () (=> @t626 (= @t625 (tptp.c_Set_Oinsert @t44 @t94 @t388)))) % 69.30/69.50 (define @t628 () (@list @t42 @t236 @t94 @t44)) % 69.30/69.50 (define @t629 () (tptp.hAPP @t381 @t618)) % 69.30/69.50 (define @t630 () (=> @t138 (= @t629 @t617))) % 69.30/69.50 (define @t631 () (=> (not @t626) (= @t625 @t388))) % 69.30/69.50 (define @t632 () (not @t138)) % 69.30/69.50 (define @t633 () (=> @t632 (= @t629 @t382))) % 69.30/69.50 (define @t634 () (tptp.c_Relation_OField @t44 @t173)) % 69.30/69.50 (define @t635 () (tptp.c_member @t401)) % 69.30/69.50 (define @t636 () (tptp.c_COMBK @t64 @t44 (tptp.c_Set_Oinsert @t57 @t93 @t42))) % 69.30/69.50 (define @t637 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t61)) % 69.30/69.50 (define @t638 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t123)) % 69.30/69.50 (define @t639 () (tptp.hAPP @t638 @t48)) % 69.30/69.50 (define @t640 () (tptp.hAPP @t639 @t42)) % 69.30/69.50 (define @t641 () (tptp.hBOOL (tptp.hAPP @t640 @t71))) % 69.30/69.50 (define @t642 () (tptp.hBOOL (tptp.hAPP @t46 @t640))) % 69.30/69.50 (define @t643 () (@list @t48 @t42 @t43 @t44)) % 69.30/69.50 (define @t644 () (tptp.hAPP @t638 @t42)) % 69.30/69.50 (define @t645 () (tptp.hAPP @t644 @t236)) % 69.30/69.50 (define @t646 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t266)) % 69.30/69.50 (define @t647 () (tptp.hAPP @t646 @t128)) % 69.30/69.50 (define @t648 () (tptp.hAPP @t647 @t173)) % 69.30/69.50 (define @t649 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t44)) % 69.30/69.50 (define @t650 () (tptp.hAPP @t649 @t412)) % 69.30/69.50 (define @t651 () (tptp.hAPP @t650 @t408)) % 69.30/69.50 (define @t652 () (tptp.hAPP @t650 @t409)) % 69.30/69.50 (define @t653 () (tptp.hAPP (tptp.hAPP @t400 @t652) @t651)) % 69.30/69.50 (define @t654 () (tptp.hAPP @t650 @t411)) % 69.30/69.50 (define @t655 () (tptp.hAPP @t649 @t409)) % 69.30/69.50 (define @t656 () (tptp.hAPP @t655 @t408)) % 69.30/69.50 (define @t657 () (tptp.hAPP @t413 @t656)) % 69.30/69.50 (define @t658 () (tptp.hAPP (tptp.hAPP @t649 @t415) @t427)) % 69.30/69.50 (define @t659 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t652)) % 69.30/69.50 (define @t660 () (tptp.class_Lattices_Osemilattice__sup @t44)) % 69.30/69.50 (define @t661 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t409 @t652)) % 69.30/69.50 (define @t662 () (tptp.hAPP (tptp.hAPP @t649 @t71) @t70)) % 69.30/69.50 (define @t663 () (tptp.hAPP @t649 @t422)) % 69.30/69.50 (define @t664 () (tptp.hAPP @t663 @t420)) % 69.30/69.50 (define @t665 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t664)) % 69.30/69.50 (define @t666 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t664 @t412)) % 69.30/69.50 (define @t667 () (tptp.hAPP @t638 @t236)) % 69.30/69.50 (define @t668 () (= @t640 @t42)) % 69.30/69.50 (define @t669 () (= (tptp.hAPP @t650 @t412) @t412)) % 69.30/69.50 (define @t670 () (tptp.class_Lattices_Odistrib__lattice @t44)) % 69.30/69.50 (define @t671 () (@list @t412 @t408 @t409 @t44)) % 69.30/69.50 (define @t672 () (tptp.hAPP @t655 @t412)) % 69.30/69.50 (define @t673 () (tptp.hAPP @t650 @t656)) % 69.30/69.50 (define @t674 () (= (tptp.hAPP (tptp.hAPP @t649 @t652) @t408) @t673)) % 69.30/69.50 (define @t675 () (tptp.hAPP @t649 @t420)) % 69.30/69.50 (define @t676 () (tptp.hAPP @t663 (tptp.hAPP @t675 @t419))) % 69.30/69.50 (define @t677 () (= @t673 (tptp.hAPP @t655 @t651))) % 69.30/69.50 (define @t678 () (= (tptp.hAPP @t650 @t652) @t652)) % 69.30/69.50 (define @t679 () (= @t652 @t672)) % 69.30/69.50 (define @t680 () (tptp.hBOOL (tptp.hAPP @t92 @t4))) % 69.30/69.50 (define @t681 () (tptp.hBOOL (tptp.hAPP @t229 @t42))) % 69.30/69.50 (define @t682 () (tptp.hBOOL (tptp.hAPP @t229 @t640))) % 69.30/69.50 (define @t683 () (@list @t92 @t42 @t48 @t44)) % 69.30/69.50 (define @t684 () (tptp.hAPP @t639 @t645)) % 69.30/69.50 (define @t685 () (tptp.hAPP @t639 @t236)) % 69.30/69.50 (define @t686 () (tptp.hAPP @t644 @t48)) % 69.30/69.50 (define @t687 () (tptp.hAPP @t646 @t55)) % 69.30/69.50 (define @t688 () (tptp.c_Transitive__Closure_Ortrancl @t44 (tptp.hAPP @t687 @t54))) % 69.30/69.50 (define @t689 () (tptp.hAPP @t646 @t316)) % 69.30/69.50 (define @t690 () (tptp.hAPP @t689 @t519)) % 69.30/69.50 (define @t691 () (tptp.hAPP @t638 @t382)) % 69.30/69.50 (define @t692 () (tptp.hAPP @t381 @t645)) % 69.30/69.50 (define @t693 () (tptp.hAPP @t380 @t640)) % 69.30/69.50 (define @t694 () (tptp.hAPP @t513 @t48)) % 69.30/69.50 (define @t695 () (@list @t48 @t236 @t42 @t44)) % 69.30/69.50 (define @t696 () (tptp.hAPP @t667 @t48)) % 69.30/69.50 (define @t697 () (tptp.tc_fun @t606 tptp.tc_HOL_Obool)) % 69.30/69.50 (define @t698 () (tptp.hAPP @t133 @t71)) % 69.30/69.50 (define @t699 () (tptp.c_Orderings_Obot__class_Obot @t123)) % 69.30/69.50 (define @t700 () (tptp.c_Set_Oinsert @t44 @t93 @t699)) % 69.30/69.50 (define @t701 () (tptp.c_Set_Oinsert @t44 @t94 @t700)) % 69.30/69.50 (define @t702 () (@var "V_d_2" $$unsorted)) % 69.30/69.50 (define @t703 () (tptp.c_Set_Oinsert @t44 @t94 @t699)) % 69.30/69.50 (define @t704 () (tptp.c_Orderings_Obot__class_Obot @t370)) % 69.30/69.50 (define @t705 () (tptp.c_Set_Oinsert @t213 (tptp.c_COMBK @t57 @t44 @t273) @t704)) % 69.30/69.50 (define @t706 () (@list @t57 @t44)) % 69.30/69.50 (define @t707 () (tptp.c_Orderings_Obot__class_Obot @t44)) % 69.30/69.50 (define @t708 () (tptp.class_Lattices_Obounded__lattice__bot @t44)) % 69.30/69.50 (define @t709 () (= @t48 @t699)) % 69.30/69.50 (define @t710 () (@list @t42 @t44)) % 69.30/69.50 (define @t711 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t524)) % 69.30/69.50 (define @t712 () (tptp.hAPP @t711 @t55)) % 69.30/69.50 (define @t713 () (= @t93 @t94)) % 69.30/69.50 (define @t714 () (tptp.hBOOL (tptp.hAPP @t139 @t703))) % 69.30/69.50 (define @t715 () (@list @t94 @t93 @t44)) % 69.30/69.50 (define @t716 () (tptp.c_Orderings_Obot__class_Obot @t61)) % 69.30/69.50 (define @t717 () (@list @t55 @t57 @t237 @t44)) % 69.30/69.50 (define @t718 () (tptp.class_Orderings_Obot @t44)) % 69.30/69.50 (define @t719 () (tptp.c_Orderings_Obot__class_Obot @t266)) % 69.30/69.50 (define @t720 () (tptp.c_Orderings_Obot__class_Obot @t455)) % 69.30/69.50 (define @t721 () (tptp.c_Orderings_Obot__class_Obot @t64)) % 69.30/69.50 (define @t722 () (@var "T_1" $$unsorted)) % 69.30/69.50 (define @t723 () (@var "T_2" $$unsorted)) % 69.30/69.50 (define @t724 () (tptp.tc_fun @t723 @t722)) % 69.30/69.50 (define @t725 () (tptp.class_Lattices_Obounded__lattice @t722)) % 69.30/69.50 (define @t726 () (@list @t723 @t722)) % 69.30/69.50 (define @t727 () (tptp.class_Lattices_Olattice @t722)) % 69.30/69.50 (define @t728 () (@var "V_P" $$unsorted)) % 69.30/69.50 (define @t729 () (@var "V_Q" $$unsorted)) % 69.30/69.50 (define @t730 () (tptp.hAPP @t472 @t55)) % 69.30/69.50 (define @t731 () (tptp.hAPP @t92 @t55)) % 69.30/69.50 (define @t732 () (@list @t55 @t472 @t92 @t44 @t237 @t57)) % 69.30/69.50 (define @t733 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal @t71) @t70))) % 69.30/69.50 (define @t734 () (@list @t70 @t71)) % 69.30/69.50 (define @t735 () (not (tptp.hBOOL @t92))) % 69.30/69.50 (define @t736 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t92))) % 69.30/69.50 (define @t737 () (@list @t92)) % 69.30/69.50 (define @t738 () (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP tptp.v_F @t38)))) % 69.30/69.50 (define @t739 () (= @t35 @t738)) % 69.30/69.50 (define @t740 () (not @t739)) % 69.30/69.50 (define @t741 () (not @t99)) % 69.30/69.50 (define @t742 () (not @t101)) % 69.30/69.50 (define @t743 () (not @t103)) % 69.30/69.50 (define @t744 () (= @t89 @t93)) % 69.30/69.50 (define @t745 () (= @t88 @t94)) % 69.30/69.50 (define @t746 () (= @t88 @t89)) % 69.30/69.50 (define @t747 () (or @t713 @t746 @t745 @t744 @t743 @t742 @t741 @t98)) % 69.30/69.50 (define @t748 () (or @t746 @t745 @t744 @t743 @t742 @t741 @t98)) % 69.30/69.50 (define @t749 () (or @t745 @t744 @t743 @t742 @t741 @t98)) % 69.30/69.50 (define @t750 () (or @t744 @t743 @t742 @t741 @t98)) % 69.30/69.50 (define @t751 () (or @t743 @t742 @t741 @t98)) % 69.30/69.50 (define @t752 () (or @t742 @t741 @t98)) % 69.30/69.50 (define @t753 () (not @t744)) % 69.30/69.50 (define @t754 () (not @t753)) % 69.30/69.50 (define @t755 () (=> @t753 @t104)) % 69.30/69.50 (define @t756 () (not @t745)) % 69.30/69.50 (define @t757 () (not @t756)) % 69.30/69.50 (define @t758 () (=> @t756 @t755)) % 69.30/69.50 (define @t759 () (not @t746)) % 69.30/69.50 (define @t760 () (not @t759)) % 69.30/69.50 (define @t761 () (=> @t759 @t758)) % 69.30/69.50 (define @t762 () (not @t713)) % 69.30/69.50 (define @t763 () (not @t762)) % 69.30/69.50 (define @t764 () (forall @t23 (= (tptp.hBOOL (tptp.hAPP @t21 (tptp.hAPP @t34 @t12))) (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP @t38 @t12)))))) % 69.30/69.50 (define @t765 () (not @t764)) % 69.30/69.50 (define @t766 () (not @t41)) % 69.30/69.50 (define @t767 () (not @t83)) % 69.30/69.50 (define @t768 () (= tptp.v_c____ tptp.v_a____)) % 69.30/69.50 (define @t769 () (= tptp.v_c____ tptp.v_b____)) % 69.30/69.50 (define @t770 () (or @t768 @t769 @t768 @t10 @t767 @t766 @t765 @t739)) % 69.30/69.50 (define @t771 () (forall @t114 @t747)) % 69.30/69.50 (define @t772 () (@list @t38 @t34 tptp.v_c____ tptp.v_b____ tptp.v_c____ tptp.v_a____)) % 69.30/69.50 (define @t773 () (or @t11 @t10 @t11 @t10 @t767 @t766 @t765 @t739)) % 69.30/69.50 (define @t774 () (@list false)) % 69.30/69.50 (define @t775 () (@quantifiers_skolemize @t764 0)) % 69.30/69.50 (define @t776 () (tptp.hAPP @t38 @t775)) % 69.30/69.50 (define @t777 () (tptp.hBOOL (tptp.hAPP @t19 @t776))) % 69.30/69.50 (define @t778 () (tptp.hAPP @t34 @t775)) % 69.30/69.50 (define @t779 () (tptp.hBOOL (tptp.hAPP @t21 @t778))) % 69.30/69.50 (define @t780 () (= @t779 @t777)) % 69.30/69.50 (define @t781 () (tptp.hAPP @t32 @t775)) % 69.30/69.50 (define @t782 () (= @t778 (tptp.hAPP @t781 tptp.v_b____))) % 69.30/69.50 (define @t783 () (tptp.hAPP @t30 @t775)) % 69.30/69.50 (define @t784 () (= @t781 (tptp.hAPP @t783 tptp.v_c____))) % 69.30/69.50 (define @t785 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP tptp.v_P____ @t775))) % 69.30/69.50 (define @t786 () (= @t783 @t785)) % 69.30/69.50 (define @t787 () (tptp.hAPP @t785 tptp.v_c____)) % 69.30/69.50 (define @t788 () (tptp.hAPP @t787 tptp.v_b____)) % 69.30/69.50 (define @t789 () (tptp.hAPP @t21 @t788)) % 69.30/69.50 (define @t790 () (tptp.hBOOL @t789)) % 69.30/69.50 (define @t791 () (and @t779 @t782 @t784 @t786)) % 69.30/69.50 (define @t792 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t788)) % 69.30/69.50 (define @t793 () (tptp.hAPP @t792 tptp.v_b____)) % 69.30/69.50 (define @t794 () (tptp.hAPP @t793 tptp.v_a____)) % 69.30/69.50 (define @t795 () (tptp.hAPP @t19 @t794)) % 69.30/69.50 (define @t796 () (tptp.hBOOL @t795)) % 69.30/69.50 (define @t797 () (not @t796)) % 69.30/69.50 (define @t798 () (not @t786)) % 69.30/69.50 (define @t799 () (tptp.hAPP @t36 @t775)) % 69.30/69.50 (define @t800 () (= @t799 (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t778))) % 69.30/69.50 (define @t801 () (not @t800)) % 69.30/69.50 (define @t802 () (tptp.hAPP @t37 @t775)) % 69.30/69.50 (define @t803 () (= @t802 (tptp.hAPP @t799 tptp.v_b____))) % 69.30/69.50 (define @t804 () (not @t803)) % 69.30/69.50 (define @t805 () (not @t784)) % 69.30/69.50 (define @t806 () (not @t782)) % 69.30/69.50 (define @t807 () (= @t776 (tptp.hAPP @t802 tptp.v_a____))) % 69.30/69.50 (define @t808 () (not @t807)) % 69.30/69.50 (define @t809 () (not @t777)) % 69.30/69.50 (define @t810 () (and @t809 @t807 @t782 @t784 @t803 @t800 @t786)) % 69.30/69.50 (define @t811 () (= @t790 @t796)) % 69.30/69.50 (define @t812 () (not @t811)) % 69.30/69.50 (define @t813 () (not @t790)) % 69.30/69.50 (define @t814 () (not @t779)) % 69.30/69.50 (define @t815 () (and @t814 @t782 @t784 @t786)) % 69.30/69.50 (define @t816 () (and @t777 @t807 @t782 @t784 @t803 @t800 @t786)) % 69.30/69.50 (define @t817 () (not @t780)) % 69.30/69.50 (define @t818 () (not @t97)) % 69.30/69.50 (define @t819 () (or @t713 @t746 @t745 @t744 @t743 @t742 @t741 @t818 @t91)) % 69.30/69.50 (define @t820 () (or @t746 @t745 @t744 @t743 @t742 @t741 @t818 @t91)) % 69.30/69.50 (define @t821 () (or @t745 @t744 @t743 @t742 @t741 @t818 @t91)) % 69.30/69.50 (define @t822 () (or @t744 @t743 @t742 @t741 @t818 @t91)) % 69.30/69.50 (define @t823 () (or @t743 @t742 @t741 @t818 @t91)) % 69.30/69.50 (define @t824 () (or @t742 @t741 @t818 @t91)) % 69.30/69.50 (define @t825 () (or @t741 @t818 @t91)) % 69.30/69.50 (define @t826 () (=> @t753 @t153)) % 69.30/69.50 (define @t827 () (=> @t756 @t826)) % 69.30/69.50 (define @t828 () (=> @t759 @t827)) % 69.30/69.50 (define @t829 () (not @t35)) % 69.30/69.50 (define @t830 () (or @t768 @t769 @t768 @t10 @t767 @t766 @t765 @t829 @t738)) % 69.30/69.50 (define @t831 () (forall @t114 @t819)) % 69.30/69.50 (define @t832 () (or @t11 @t10 @t11 @t10 @t767 @t766 @t765 @t829 @t738)) % 69.30/69.50 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 69.30/69.50 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 69.30/69.50 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 69.30/69.50 (assume @p4 @t9) % 69.30/69.50 (assume @p5 (and @t9 (not @t11) (not @t10))) % 69.30/69.50 (assume @p6 (forall @t23 (= @t22 (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t14) tptp.v_b____) tptp.v_a____)))))) % 69.30/69.50 (assume @p7 (forall @t23 (= @t25 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t16 tptp.v_a____)) (tptp.hAPP tptp.v_P_H____ @t12)))))) % 69.30/69.50 (assume @p8 (forall @t23 (= @t25 @t22))) % 69.30/69.50 (assume @p9 (= (tptp.hBOOL (tptp.hAPP @t24 (tptp.hAPP tptp.v_F tptp.v_P____))) @t35)) % 69.30/69.50 (assume @p10 @t41) % 69.30/69.50 (assume @p11 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 (tptp.hAPP (tptp.hAPP @t33 (tptp.hAPP (tptp.hAPP @t31 (tptp.hAPP @t29 @t38)) tptp.v_a____)) tptp.v_c____)) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (assume @p12 (forall (@list @t43 @t44 @t42 @t48) (=> @t53 (=> @t52 (not @t50))))) % 69.30/69.50 (assume @p13 (forall @t68 (= (= @t67 @t66) @t56))) % 69.30/69.50 (assume @p14 (forall @t82 (= (tptp.hBOOL (tptp.hAPP @t73 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t69 @t75))) (and @t81 (=> @t76 @t79) (=> @t77 @t74))))) % 69.30/69.50 (assume @p15 (forall @t82 (= (tptp.hBOOL (tptp.hAPP @t73 (tptp.c_Arrow__Order__Mirabelle_Omktop @t69 @t75))) (and @t77 (=> @t80 @t79) (=> @t81 @t74))))) % 69.30/69.50 (assume @p16 @t83) % 69.30/69.50 (assume @p17 (forall (@list @t70 @t71 @t55 @t57 @t44) (= (tptp.c_FunDef_Oin__rel @t44 @t57 @t55 @t71 @t70) (tptp.hBOOL (tptp.hAPP @t86 @t55))))) % 69.30/69.50 (assume @p18 @t115) % 69.30/69.50 (assume @p19 (forall (@list @t44 @t55 @t70 @t116 @t57 @t71 @t92) (=> @t122 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t120 (tptp.hAPP (tptp.hAPP @t119 @t116) @t70)) (tptp.hAPP @t55 @t71))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP (tptp.hAPP @t117 (tptp.hAPP @t84 @t116)) @t85)) (tptp.c_Recdef_Osame__fst @t44 @t57 @t92 @t55))))))) % 69.30/69.50 (assume @p20 (forall @t127 (= (= @t126 @t125) @t56))) % 69.30/69.50 (assume @p21 (forall @t136 (= (tptp.c_Nitpick_Orefl_H @t44 @t128) (forall @t8 @t135)))) % 69.30/69.50 (assume @p22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (assume @p23 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 69.30/69.50 (assume @p24 (forall @t140 (=> @t111 (=> (tptp.hBOOL (tptp.hAPP @t139 @t48)) @t138)))) % 69.30/69.50 (assume @p25 (forall (@list @t48 @t44 @t70 @t71) (=> @t78 (= @t144 @t142)))) % 69.30/69.50 (assume @p26 (forall (@list @t71 @t44 @t42 @t48) (=> @t53 (= @t144 @t145)))) % 69.30/69.50 (assume @p27 (forall @t146 (= (tptp.hBOOL (tptp.hAPP @t143 (tptp.hAPP tptp.c_fequal @t70))) @t78))) % 69.30/69.50 (assume @p28 (forall @t149 (= @t144 @t148))) % 69.30/69.50 (assume @p29 @t158) % 69.30/69.50 (assume @p30 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 tptp.v_F) @t159))) % 69.30/69.50 (assume @p31 (forall @t172 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t162) (forall @t8 (=> @t171 (forall @t170 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 @t161) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall @t169 (=> (forall @t23 (= @t168 (tptp.hBOOL (tptp.hAPP @t165 (tptp.hAPP @t161 @t12))))) (= @t167 (tptp.hBOOL (tptp.hAPP @t165 (tptp.hAPP @t162 @t161))))))))))))) % 69.30/69.50 (assume @p32 (forall @t172 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t162) (forall @t8 (=> @t171 (forall @t169 (=> (forall @t23 @t168) @t167))))))) % 69.30/69.50 (assume @p33 (forall (@list @t173 @t128 @t88 @t89 @t93 @t94 @t57 @t44) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP (tptp.hAPP @t117 @t178) @t176)) (tptp.c_Wellfounded_Olex__prod @t44 @t57 @t128 @t173))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t175 @t89)) @t128)) (and @t174 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t120 (tptp.hAPP (tptp.hAPP @t119 @t93) @t88)) @t173))))))) % 69.30/69.50 (assume @p34 (forall @t182 (= @t181 (forall @t8 (=> @t171 (= @t166 @t180)))))) % 69.30/69.50 (assume @p35 (forall @t190 (=> @t112 (=> @t189 (= (tptp.hBOOL (tptp.hAPP @t73 (tptp.hAPP (tptp.hAPP @t187 @t94) @t93))) (and @t79 (=> @t186 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t72 @t93)) @t69))) (=> (not @t186) (and (=> @t183 (or @t185 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t184 @t70)) @t69)))) (=> (not @t183) @t74))))))))) % 69.30/69.50 (assume @p36 (forall (@list @t69) (=> @t189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t40 (tptp.c_COMBK @t26 tptp.tc_Arrow__Order__Mirabelle_Oindi @t69)) tptp.c_Arrow__Order__Mirabelle_OProf))))) % 69.30/69.50 (assume @p37 (forall @t203 (= (tptp.c_Recdef_Owfrec__rel @t44 @t57 @t55 @t162 @t194 @t201) (exists @t202 (and (= @t201 @t199) @t197))))) % 69.30/69.50 (assume @p38 (forall (@list @t93 @t94 @t69) (=> @t189 (=> (tptp.hBOOL (tptp.hAPP @t96 @t69)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t184 @t94)) @t69))))))) % 69.30/69.50 (assume @p39 (forall (@list @t70 @t71 @t69) (=> @t189 (=> @t79 (= (not @t74) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP (tptp.hAPP @t15 @t70) @t71)) @t69))))))) % 69.30/69.50 (assume @p40 (forall @t204 (=> @t79 (=> @t189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 (tptp.hAPP (tptp.hAPP @t187 @t71) @t70)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 69.30/69.50 (assume @p41 (forall @t205 (=> @t189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 (tptp.c_Arrow__Order__Mirabelle_Omktop @t69 @t71)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 69.30/69.50 (assume @p42 (forall @t205 (=> @t189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t69 @t71)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 69.30/69.50 (assume @p43 (forall @t217 (=> @t216 (=> (not @t211) @t206)))) % 69.30/69.50 (assume @p44 (forall @t190 (=> @t112 (=> @t189 (= (tptp.hBOOL (tptp.hAPP @t73 (tptp.c_Arrow__Order__Mirabelle_Oabove @t69 @t94 @t93))) (and @t79 (=> @t218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t95 @t70)) @t69))) (=> (not @t218) (and (=> @t185 (or @t183 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t18 (tptp.hAPP @t72 @t94)) @t69)))) (=> (not @t185) @t74))))))))) % 69.30/69.50 (assume @p45 (forall @t182 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t160 @t162) @t159)) (=> (forall @t8 (=> @t171 (forall @t169 (=> (not (= @t164 @t163)) (=> (tptp.hBOOL (tptp.hAPP @t165 @t180)) @t167))))) @t181)))) % 69.30/69.50 (assume @p46 (forall @t217 (=> @t221 (=> @t144 (tptp.hBOOL (tptp.hAPP @t210 @t42)))))) % 69.30/69.50 (assume @p47 (forall @t217 (=> @t216 (=> @t144 @t211)))) % 69.30/69.50 (assume @p48 (forall @t225 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t224) @t223) (tptp.c_FuncSet_OPi @t44 @t44 @t48 @t222))))) % 69.30/69.50 (assume @p49 (forall @t204 (=> @t79 (=> @t189 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 (tptp.c_Arrow__Order__Mirabelle_Oabove @t69 @t71 @t70)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 69.30/69.50 (assume @p50 (forall (@list @t93 @t94) (=> @t112 (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t188 @t4) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP @t96 @t4))))))) % 69.30/69.50 (assume @p51 (forall @t203 (= (tptp.c_Recdef_Owfrec__rel @t44 @t57 @t55 @t162 @t194 @t200) (exists @t202 (and (= @t200 @t199) @t197))))) % 69.30/69.50 (assume @p52 (forall (@list @t1 @t162 @t57 @t55 @t71 @t44) (=> (forall @t196 (=> @t226 (tptp.c_Recdef_Owfrec__rel @t44 @t57 @t55 @t162 @t191 (tptp.hAPP @t1 @t191)))) (tptp.c_Recdef_Owfrec__rel @t44 @t57 @t55 @t162 @t71 (tptp.hAPP (tptp.hAPP @t162 @t1) @t71))))) % 69.30/69.50 (assume @p53 (forall @t232 (=> @t231 @t216))) % 69.30/69.50 (assume @p54 (forall @t232 (=> @t233 @t221))) % 69.30/69.50 (assume @p55 (forall (@list @t42 @t57 @t1 @t2 @t48 @t44) (=> (forall (@list @t235) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t45 @t235) @t48)) (= (tptp.hAPP @t2 @t235) (tptp.hAPP @t1 @t235)))) (= @t216 (tptp.hBOOL (tptp.hAPP @t234 @t212)))))) % 69.30/69.50 (assume @p56 (forall (@list @t236 @t1 @t237 @t42 @t48 @t2 @t57 @t44) (=> @t221 (=> @t242 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t44 @t237)) @t240) (tptp.c_FuncSet_OPi @t44 @t237 @t48 @t239))))))) % 69.30/69.50 (assume @p57 (forall (@list @t245 @t243 @t244 @t236 @t1 @t237 @t42 @t48 @t2 @t57 @t44) (=> @t221 (=> @t242 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t237 @t244)) @t243) (tptp.c_FuncSet_OPi @t237 @t244 @t236 (tptp.c_COMBK (tptp.tc_fun @t244 tptp.tc_HOL_Obool) @t237 @t245)))) (= (tptp.c_FuncSet_Ocompose @t44 @t237 @t244 @t48 @t243 @t240) (tptp.c_FuncSet_Ocompose @t44 @t57 @t244 @t48 (tptp.c_FuncSet_Ocompose @t57 @t237 @t244 @t42 @t243 @t1) @t2))))))) % 69.30/69.50 (assume @p58 (forall (@list @t94 @t128 @t93 @t44) (=> @t251 (=> @t250 @t247)))) % 69.30/69.50 (assume @p59 (forall @t252 (= @t247 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t130 @t94)) @t128)) (tptp.hBOOL (tptp.hAPP @t229 @t246))))))) % 69.30/69.50 (assume @p60 (forall (@list @t2 @t57 @t128 @t94 @t71 @t44) (=> (tptp.hBOOL (tptp.hAPP @t256 @t128)) (= (tptp.hAPP (tptp.hAPP @t254 @t94) @t71) @t208)))) % 69.30/69.50 (assume @p61 (forall (@list @t2 @t1 @t57 @t237 @t48 @t71 @t44) (=> @t144 (= (tptp.hAPP @t257 @t71) (tptp.hAPP @t1 @t208))))) % 69.30/69.50 (assume @p62 (forall (@list @t57 @t94 @t71 @t44 @t258 @t259) (=> (tptp.hBOOL (tptp.hAPP @t256 @t259)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t253 @t258) @t259) @t94) @t71) (tptp.hAPP @t258 @t71))))) % 69.30/69.50 (assume @p63 (forall (@list @t1 @t71 @t128 @t2 @t57 @t44) (= (= @t264 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t253 @t1) @t128) @t71)) (forall @t263 (=> @t262 (= (tptp.hAPP @t2 @t260) (tptp.hAPP @t1 @t260))))))) % 69.30/69.50 (assume @p64 (forall @t267 (tptp.c_Recdef_Oadm__wf @t44 @t57 @t55 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t213 @t224 @t213) (tptp.hAPP (tptp.c_COMBB @t265 (tptp.tc_fun @t224 @t213) @t213 (tptp.c_COMBS @t44 @t44 @t57)) (tptp.hAPP (tptp.c_COMBB @t265 @t265 @t213 (tptp.c_COMBB @t213 @t213 @t44 @t162)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t213 @t266 @t265) @t253) @t55)))) @t223)))) % 69.30/69.50 (assume @p65 (forall (@list @t71 @t128 @t44) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t44 @t271) @t71)) @t268))) % 69.30/69.50 (assume @p66 (forall (@list @t55 @t71 @t44) (=> (not (tptp.hBOOL (tptp.hAPP @t143 @t272))) (not (forall @t196 (=> @t226 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t45 @t191) @t272)))))))) % 69.30/69.50 (assume @p67 (forall (@list @t128 @t71 @t44) (=> (forall @t263 (=> @t262 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t45 @t260) @t246)))) @t268))) % 69.30/69.50 (assume @p68 (forall (@list @t2 @t57 @t128 @t71 @t70 @t44) (and (=> @t277 (= @t274 @t278)) (=> (not @t277) (= @t274 @t273))))) % 69.30/69.50 (assume @p69 (forall (@list @t1 @t2 @t48 @t237 @t57 @t44) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t214 (tptp.c_FuncSet_Ocompose @t44 @t237 @t57 @t48 @t2 @t1)) @t279)))) % 69.30/69.50 (assume @p70 (forall (@list @t93 @t128 @t94 @t44) (=> @t247 (=> @t282 @t251)))) % 69.30/69.50 (assume @p71 (forall (@list @t128 @t94 @t93 @t44) (=> @t282 (=> @t247 @t251)))) % 69.30/69.50 (assume @p72 (forall (@list @t71 @t162 @t55 @t44 @t57) (= (tptp.c_Nitpick_Owf__wfrec_H @t57 @t44 @t55 @t162 @t71) (tptp.hAPP (tptp.hAPP @t162 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut @t57 @t44) (tptp.c_Nitpick_Owf__wfrec @t57 @t44 @t55 @t162)) @t55) @t71)) @t71)))) % 69.30/69.50 (assume @p73 (forall @t287 (=> @t286 (=> @t285 @t284)))) % 69.30/69.50 (assume @p74 (forall @t288 (= @t284 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t4) @t94)) (tptp.hBOOL (tptp.hAPP @t283 @t4))))))) % 69.30/69.50 (assume @p75 (forall (@list @t71 @t48 @t2 @t57 @t44) (=> @t290 (=> @t206 @t289)))) % 69.30/69.50 (assume @p76 (forall @t252 (tptp.hBOOL (tptp.hAPP @t291 @t280)))) % 69.30/69.50 (assume @p77 (forall @t295 (=> @t294 (tptp.hBOOL (tptp.hAPP @t293 @t280))))) % 69.30/69.50 (assume @p78 (forall @t302 (=> @t301 @t300))) % 69.30/69.50 (assume @p79 (forall @t302 (=> @t301 (=> @t303 @t297)))) % 69.30/69.50 (assume @p80 (forall @t302 (=> @t250 @t300))) % 69.30/69.50 (assume @p81 (forall @t304 (=> @t221 (=> @t290 (= (tptp.c_FuncSet_Ocompose @t44 @t57 @t57 @t48 (tptp.c_FuncSet_Orestrict @t57 @t57 (tptp.c_COMBI @t57) @t42) @t2) @t2))))) % 69.30/69.50 (assume @p82 (forall (@list @t42 @t48 @t1 @t57 @t44) (=> (tptp.hBOOL (tptp.hAPP @t234 @t220)) (=> @t305 (= (tptp.c_FuncSet_Ocompose @t44 @t44 @t57 @t48 @t1 (tptp.c_FuncSet_Orestrict @t44 @t44 @t223 @t48)) @t1))))) % 69.30/69.50 (assume @p83 (forall @t267 (= (tptp.c_Recdef_Oadm__wf @t44 @t57 @t55 @t162) (forall (@list @t258 @t192 @t4) (=> (forall @t196 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t195 @t4)) @t55)) (= (tptp.hAPP @t258 @t191) @t193))) (= (tptp.hAPP (tptp.hAPP @t162 @t258) @t4) (tptp.hAPP @t198 @t4))))))) % 69.30/69.50 (assume @p84 (forall (@list @t2 @t1 @t48 @t57 @t237 @t44) (= @t257 (tptp.c_FuncSet_Orestrict @t44 @t57 (tptp.hAPP (tptp.c_COMBB @t237 @t57 @t44 @t1) @t2) @t48)))) % 69.30/69.50 (assume @p85 (forall @t307 (=> @t290 (= @t306 @t2)))) % 69.30/69.50 (assume @p86 (forall @t307 (tptp.hBOOL (tptp.hAPP @t308 @t279)))) % 69.30/69.50 (assume @p87 (forall (@list @t2 @t57 @t48 @t71 @t44) (and (=> @t144 (= @t309 @t208)) (=> @t206 (= @t309 @t273))))) % 69.30/69.50 (assume @p88 (forall @t136 (= (tptp.c_Transitive__Closure_Ortrancl @t44 @t280) @t280))) % 69.30/69.50 (assume @p89 (forall @t232 (=> @t231 (tptp.hBOOL (tptp.hAPP @t308 @t212))))) % 69.30/69.50 (assume @p90 (forall @t232 (=> @t233 (tptp.hBOOL (tptp.hAPP @t308 @t220))))) % 69.30/69.50 (assume @p91 (forall @t315 (=> (tptp.c_Relation_Osingle__valued @t44 @t44 @t128) (=> @t314 (=> @t312 (or (tptp.hBOOL (tptp.hAPP @t310 @t280)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP (tptp.hAPP @t129 @t75) @t70)) @t280)))))))) % 69.30/69.50 (assume @p92 (forall (@list @t70 @t55 @t71 @t44) (=> (not (tptp.hBOOL (tptp.hAPP @t143 (tptp.c_Relation_ODomain @t44 @t44 @t55)))) (= @t317 @t78)))) % 69.30/69.50 (assume @p93 (forall @t323 (=> @t322 (=> @t319 @t289)))) % 69.30/69.50 (assume @p94 (forall (@list @t128 @t325 @t326 @t330 @t331 @t57 @t44) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t333 @t327)) @t324)) (=> (not (= @t332 @t327)) (not (forall @t169 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t333 @t328)) @t128)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t329 @t327)) @t324)))))))))) % 69.30/69.50 (assume @p95 (forall @t349 (=> @t348 (=> @t346 (=> (forall (@list @t164 @t163 @t339 @t338) (=> @t345 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP (tptp.hAPP @t117 @t344) @t343)) @t324)) (=> @t340 @t337)))) @t336))))) % 69.30/69.50 (assume @p96 (forall @t349 (=> @t348 (=> @t336 (=> (forall @t169 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t347 @t328)) @t324)) (forall (@list @t339 @t338) (=> @t345 (=> @t337 @t340))))) @t346))))) % 69.30/69.50 (assume @p97 (forall @t323 (=> @t322 (=> @t318 (tptp.hBOOL (tptp.hAPP @t210 @t320)))))) % 69.30/69.50 (assume @p98 (forall @t354 (=> @t353 @t351))) % 69.30/69.50 (assume @p99 (forall @t356 (= @t351 (exists @t263 @t355)))) % 69.30/69.50 (assume @p100 (forall (@list @t75 @t70 @t71 @t128 @t57 @t44) (=> @t357 (=> (tptp.hBOOL (tptp.hAPP @t86 @t128)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t84 @t75)) @t128)) @t80))))) % 69.30/69.50 (assume @p101 (forall @t362 (= @t357 @t361))) % 69.30/69.50 (assume @p102 (forall @t364 (= (tptp.c_Predicate_ODomainP @t44 @t57 @t363 @t71) (tptp.hBOOL (tptp.hAPP @t143 @t350))))) % 69.30/69.50 (assume @p103 (forall (@list @t1 @t48 @t2 @t57 @t44) (=> @t290 (=> @t305 (=> (forall @t8 (=> @t230 @t7)) @t3))))) % 69.30/69.50 (assume @p104 (forall @t356 (=> @t351 (not (forall @t263 (not @t355)))))) % 69.30/69.50 (assume @p105 (forall @t365 (=> @t285 (tptp.c_Predicate_ODomainP @t44 @t57 @t128 @t94)))) % 69.30/69.50 (assume @p106 (forall @t136 (= (tptp.c_Relation_Oirrefl @t44 @t128) (forall @t8 (not @t135))))) % 69.30/69.50 (assume @p107 (forall @t354 (=> @t353 (tptp.hBOOL (tptp.hAPP @t367 @t366))))) % 69.30/69.50 (assume @p108 (forall @t369 (= (tptp.hBOOL (tptp.hAPP @t313 @t368)) (and @t78 @t144)))) % 69.30/69.50 (assume @p109 (forall @t140 (=> @t111 (=> @t138 (tptp.hBOOL (tptp.hAPP @t249 @t368)))))) % 69.30/69.50 (assume @p110 (forall @t362 (=> @t361 @t357))) % 69.30/69.50 (assume @p111 (forall (@list @t320 @t54 @t57 @t44) (= @t321 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t370) (tptp.c_FuncSet_OPi @t44 @t57 @t54 (tptp.c_COMBK @t64 @t44 @t320))) (tptp.c_FuncSet_Oextensional @t44 @t57 @t54))))) % 69.30/69.50 (assume @p112 (forall @t377 (=> @t301 (=> @t376 (=> (forall @t263 (=> @t375 (forall @t196 (=> @t374 (=> @t373 @t372))))) @t371))))) % 69.30/69.50 (assume @p113 (forall @t384 (=> @t383 (not (=> @t148 @t379))))) % 69.30/69.50 (assume @p114 (forall (@list @t44 @t42 @t71 @t48) (=> @t148 (=> @t378 @t383)))) % 69.30/69.50 (assume @p115 (forall @t386 (=> @t385 (not @t52)))) % 69.30/69.50 (assume @p116 (forall @t386 (=> @t49 (=> @t47 @t385)))) % 69.30/69.50 (assume @p117 (forall @t225 (= (tptp.c_Relation_ORange @t44 @t44 @t368) @t48))) % 69.30/69.50 (assume @p118 (forall @t384 (=> @t383 @t378))) % 69.30/69.50 (assume @p119 (forall @t384 (=> @t383 @t148))) % 69.30/69.50 (assume @p120 (forall @t390 (= (tptp.hAPP (tptp.hAPP @t380 @t382) @t236) @t389))) % 69.30/69.50 (assume @p121 (forall @t390 (= @t389 (tptp.hAPP @t387 @t391)))) % 69.30/69.50 (assume @p122 (forall @t392 (= (tptp.hAPP @t381 @t382) @t382))) % 69.30/69.50 (assume @p123 (forall @t392 (= @t382 @t393))) % 69.30/69.50 (assume @p124 (forall @t225 (= (tptp.hAPP @t381 @t48) @t48))) % 69.30/69.50 (assume @p125 (forall @t386 (=> @t385 @t47))) % 69.30/69.50 (assume @p126 (forall @t386 (=> @t385 @t49))) % 69.30/69.50 (assume @p127 (forall @t386 (= @t385 (and @t49 @t47)))) % 69.30/69.50 (assume @p128 (forall @t394 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t380 @t126) @t125) @t71)) (tptp.hBOOL (tptp.hAPP @t143 (tptp.hAPP (tptp.hAPP @t380 @t55) @t54)))))) % 69.30/69.50 (assume @p129 (forall @t225 (= (tptp.c_Relation_ODomain @t44 @t44 @t368) @t48))) % 69.30/69.50 (assume @p130 (forall @t225 (tptp.c_Relation_Osingle__valued @t44 @t44 @t368))) % 69.30/69.50 (assume @p131 (forall @t356 (= (tptp.hBOOL (tptp.hAPP @t137 @t398)) (exists @t263 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t397 (tptp.hAPP (tptp.hAPP @t395 @t260) @t94)) @t128)))))) % 69.30/69.50 (assume @p132 (forall @t364 (= (tptp.c_Predicate_ORangeP @t44 @t57 @t363 @t71) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t209 @t71) @t366))))) % 69.30/69.50 (assume @p133 (forall @t403 (=> @t402 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t401) @t2) @t1) @t71) (tptp.hAPP (tptp.hAPP @t400 @t208) @t399))))) % 69.30/69.50 (assume @p134 (forall (@list @t48 @t43 @t44) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 @t43) @t368)) (not (forall @t8 (=> @t230 (not (= @t43 @t131)))))))) % 69.30/69.50 (assume @p135 (forall (@list @t128 @t57 @t93 @t44) (=> (tptp.hBOOL (tptp.hAPP @t139 @t398)) (not (forall @t8 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t397 (tptp.hAPP (tptp.hAPP @t395 @t4) @t93)) @t128)))))))) % 69.30/69.50 (assume @p136 (forall @t404 (=> @t301 (=> @t112 (not (forall @t263 (=> @t375 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t261 @t93)) @t128)))))))))) % 69.30/69.50 (assume @p137 (forall (@list @t128 @t75 @t71 @t44) (=> @t312 (=> @t77 (not (forall @t263 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t255 @t260)) @t128)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t261 @t75)) @t280)))))))))) % 69.30/69.50 (assume @p138 (forall @t365 (=> @t285 (tptp.c_Predicate_ORangeP @t44 @t57 @t128 @t93)))) % 69.30/69.50 (assume @p139 (forall (@list @t200 @t128 @t57 @t44) (= (tptp.c_Predicate_ORangeP @t44 @t57 @t128 @t200) (exists (@list @t164) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t164) @t200)))))) % 69.30/69.50 (assume @p140 (forall (@list @t70 @t71 @t54 @t55 @t57 @t44) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t407 @t67) @t66) @t71) @t70)) (tptp.hBOOL (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t405 @t55) @t54)))))) % 69.30/69.50 (assume @p141 (forall @t418 (=> @t417 @t416))) % 69.30/69.50 (assume @p142 (forall @t418 (=> @t402 @t416))) % 69.30/69.50 (assume @p143 (forall @t426 (=> @t417 (= (tptp.hAPP (tptp.hAPP @t400 @t425) @t419) @t424)))) % 69.30/69.50 (assume @p144 (forall @t418 (=> @t417 @t428))) % 69.30/69.50 (assume @p145 (forall @t418 (=> @t402 @t428))) % 69.30/69.50 (assume @p146 (forall @t429 (=> @t417 (= (tptp.hAPP @t421 (tptp.hAPP @t423 @t419)) @t424)))) % 69.30/69.50 (assume @p147 (forall @t431 (=> @t417 @t430))) % 69.30/69.50 (assume @p148 (forall @t431 (=> @t402 @t430))) % 69.30/69.50 (assume @p149 (forall @t432 (=> @t417 (= (tptp.hAPP @t423 @t425) @t425)))) % 69.30/69.50 (assume @p150 (forall @t431 (=> @t417 @t434))) % 69.30/69.50 (assume @p151 (forall @t431 (=> @t402 @t434))) % 69.30/69.50 (assume @p152 (forall @t432 (=> @t417 (= @t425 (tptp.hAPP @t421 @t422))))) % 69.30/69.50 (assume @p153 (forall @t436 (=> @t417 @t435))) % 69.30/69.50 (assume @p154 (forall @t437 (=> @t417 (= (tptp.hAPP @t423 @t422) @t422)))) % 69.30/69.50 (assume @p155 (forall @t377 (=> @t301 (=> @t371 (=> (forall (@list @t260 @t191) (=> @t374 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t195 @t93)) @t280)) (=> @t372 @t373)))) @t376))))) % 69.30/69.50 (assume @p156 (forall @t440 (= (tptp.c_Relation_Ototal__on @t44 @t48 @t128) (forall @t8 (=> @t230 (forall @t170 (=> (tptp.hBOOL (tptp.hAPP @t439 @t48)) (=> @t438 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t130 @t161)) @t128)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP (tptp.hAPP @t129 @t161) @t4)) @t128))))))))))) % 69.30/69.50 (assume @p157 (forall (@list @t2 @t128 @t57 @t70 @t71 @t44) (= (tptp.hBOOL (tptp.hAPP @t313 (tptp.c_Relation_Oinv__image @t57 @t44 @t128 @t2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t120 (tptp.hAPP (tptp.hAPP @t119 @t208) @t278)) @t128))))) % 69.30/69.50 (assume @p158 (forall @t443 (=> @t442 (=> @t441 @t144)))) % 69.30/69.50 (assume @p159 (forall @t443 (=> @t442 (=> @t441 @t142)))) % 69.30/69.50 (assume @p160 (forall (@list @t94 @t128 @t48 @t44) (=> @t442 (=> @t138 (tptp.hBOOL (tptp.hAPP @t291 @t128)))))) % 69.30/69.50 (assume @p161 (forall @t447 (=> @t446 (not (=> @t445 (not @t444)))))) % 69.30/69.50 (assume @p162 (forall (@list @t57 @t44 @t42 @t70 @t71 @t48) (=> @t445 (=> @t444 @t446)))) % 69.30/69.50 (assume @p163 (forall @t447 (=> @t446 @t444))) % 69.30/69.50 (assume @p164 (forall @t447 (=> @t446 @t445))) % 69.30/69.50 (assume @p165 (forall @t450 (=> @t442 (=> @t449 (tptp.c_Relation_Orefl__on @t44 @t382 (tptp.hAPP (tptp.hAPP @t448 @t128) @t173)))))) % 69.30/69.50 (assume @p166 (forall @t225 (tptp.c_Relation_Orefl__on @t44 @t48 @t368))) % 69.30/69.50 (assume @p167 (forall @t404 (=> @t452 @t301))) % 69.30/69.50 (assume @p168 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq @t123 (tptp.c_Relation_ORange @t57 @t44 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t455) @t48) @t42)) (tptp.hAPP (tptp.hAPP @t380 @t454) @t453)))) % 69.30/69.50 (assume @p169 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq @t123 (tptp.c_Relation_ODomain @t44 @t57 (tptp.hAPP (tptp.hAPP @t405 @t48) @t42)) (tptp.hAPP (tptp.hAPP @t380 @t458) @t457)))) % 69.30/69.50 (assume @p170 (forall (@list @t331 @t71 @t128 @t44) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp @t44 @t271) @t71) @t331)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t133 (tptp.hAPP @t255 @t331)) @t280))))) % 69.30/69.50 (assume @p171 (forall @t436 (=> @t402 @t435))) % 69.30/69.50 (assume @p172 (forall @t460 (tptp.hBOOL (tptp.hAPP @t291 @t459)))) % 69.30/69.50 (assume @p173 (forall @t392 (=> @t462 (=> @t461 @t53)))) % 69.30/69.50 (assume @p174 (forall @t288 (tptp.hBOOL (tptp.hAPP @t464 @t94)))) % 69.30/69.50 (assume @p175 (forall (@list @t44 @t70 @t71 @t128) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t71) @t70)) @t466))) % 69.30/69.50 (assume @p176 (forall (@list @t43 @t42 @t48 @t44) (=> @t462 (=> @t49 @t47)))) % 69.30/69.50 (assume @p177 (forall @t404 (=> @t250 @t452))) % 69.30/69.50 (assume @p178 (forall @t469 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t467 @t468) (tptp.c_Orderings_Oord__class_Oless__eq @t123 (tptp.c_Wellfounded_Oacc @t44 @t468) (tptp.c_Wellfounded_Oacc @t44 @t467))))) % 69.30/69.50 (assume @p179 (forall (@list @t42 @t57 @t48 @t470 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t470 @t48) (tptp.c_Orderings_Oord__class_Oless__eq @t370 @t212 (tptp.c_FuncSet_OPi @t44 @t57 @t470 @t42))))) % 69.30/69.50 (assume @p180 (forall @t225 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t48 @t48))) % 69.30/69.50 (assume @p181 (forall @t471 (= @t53 (and @t462 @t461)))) % 69.30/69.50 (assume @p182 (forall (@list @t472 @t44 @t71 @t92) (=> @t122 (=> @t475 @t474)))) % 69.30/69.50 (assume @p183 (forall @t471 (=> @t53 @t462))) % 69.30/69.50 (assume @p184 (forall @t471 (=> @t53 @t461))) % 69.30/69.50 (assume @p185 (forall (@list @t71 @t472 @t92 @t44) (=> @t475 (=> @t122 @t474)))) % 69.30/69.50 (assume @p186 (forall @t390 (=> @t462 (=> @t477 @t476)))) % 69.30/69.50 (assume @p187 (forall @t471 (=> @t53 (not (=> @t462 (not @t461)))))) % 69.30/69.50 (assume @p188 (forall @t136 (= (tptp.c_Transitive__Closure_Ortranclp @t44 @t463) @t463))) % 69.30/69.50 (assume @p189 (forall (@list @t478 @t194 @t128 @t44) (= (tptp.hBOOL (tptp.hAPP @t479 @t478)) (or (= @t478 @t194) (exists @t480 (and (tptp.hBOOL (tptp.hAPP @t479 @t163)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t163) @t478)))))))) % 69.30/69.50 (assume @p190 (forall (@list @t43 @t44 @t93 @t94 @t128) (=> @t285 (=> (tptp.hBOOL (tptp.hAPP @t482 @t43)) @t481)))) % 69.30/69.50 (assume @p191 (forall (@list @t43 @t93 @t94 @t128 @t44) (=> (tptp.hBOOL (tptp.hAPP @t464 @t93)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t93) @t43)) @t481)))) % 69.30/69.50 (assume @p192 (forall @t315 (=> @t466 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t463 @t70) @t75)) (tptp.hBOOL (tptp.hAPP @t465 @t75)))))) % 69.30/69.50 (assume @p193 (forall (@list @t173 @t128 @t292 @t44) (=> @t484 (=> @t483 (tptp.hBOOL (tptp.hAPP @t293 (tptp.c_Transitive__Closure_Otrancl @t44 @t173))))))) % 69.30/69.50 (assume @p194 (forall @t486 (=> @t485 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t350 (tptp.c_Relation_ODomain @t44 @t57 @t173))))) % 69.30/69.50 (assume @p195 (forall @t295 (=> @t294 @t484))) % 69.30/69.50 (assume @p196 (forall @t384 (=> @t462 (=> @t144 @t145)))) % 69.30/69.50 (assume @p197 (forall @t487 (=> @t144 (=> @t462 @t145)))) % 69.30/69.50 (assume @p198 (forall @t431 (=> @t402 @t488))) % 69.30/69.50 (assume @p199 (forall @t431 (=> @t417 @t488))) % 69.30/69.50 (assume @p200 (forall @t431 (=> @t402 @t489))) % 69.30/69.50 (assume @p201 (forall @t431 (=> @t417 @t489))) % 69.30/69.50 (assume @p202 (forall @t146 (=> @t417 (= @t490 (= (tptp.hAPP (tptp.hAPP @t400 @t71) @t70) @t71))))) % 69.30/69.50 (assume @p203 (forall @t492 (=> @t417 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t71 (tptp.hAPP (tptp.hAPP @t400 @t70) @t75)) (and @t490 @t491))))) % 69.30/69.50 (assume @p204 (forall @t495 (=> @t417 (=> @t494 @t493)))) % 69.30/69.50 (assume @p205 (forall (@list @t422 @t412 @t420 @t44) (=> @t417 (=> @t496 @t493)))) % 69.30/69.50 (assume @p206 (forall @t431 (=> @t417 (=> @t497 (= @t415 @t412))))) % 69.30/69.50 (assume @p207 (forall @t499 (=> @t417 (=> @t498 (= @t415 @t409))))) % 69.30/69.50 (assume @p208 (forall @t503 (=> @t417 (=> @t502 (=> @t501 @t500))))) % 69.30/69.50 (assume @p209 (forall @t418 (=> @t417 (=> @t497 (=> @t504 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t411)))))) % 69.30/69.50 (assume @p210 (forall @t508 (=> @t417 (=> @t507 (=> @t506 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t425 (tptp.hAPP (tptp.hAPP @t400 @t419) @t505))))))) % 69.30/69.50 (assume @p211 (forall @t503 (=> @t417 (=> @t500 (not (=> @t502 (not @t501))))))) % 69.30/69.50 (assume @p212 (forall @t509 (= (tptp.c_Transitive__Closure_Otrancl @t44 @t316) @t316))) % 69.30/69.50 (assume @p213 (forall @t509 (= (tptp.c_Transitive__Closure_Ortrancl @t44 @t510) @t316))) % 69.30/69.50 (assume @p214 (forall @t392 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t382 @t48))) % 69.30/69.50 (assume @p215 (forall @t392 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t382 @t42))) % 69.30/69.50 (assume @p216 (forall @t392 (=> @t462 (= @t382 @t48)))) % 69.30/69.50 (assume @p217 (forall @t511 (=> @t461 (= @t382 @t42)))) % 69.30/69.50 (assume @p218 (forall (@list @t42 @t48 @t236 @t44) (=> @t512 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t236 @t42) (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t236 @t382))))) % 69.30/69.50 (assume @p219 (forall @t515 (=> @t476 (=> @t514 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t382 (tptp.hAPP @t513 @t245)))))) % 69.30/69.50 (assume @p220 (forall @t518 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t128 @t516) @t517))) % 69.30/69.50 (assume @p221 (forall @t127 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t55 @t54) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t54 @t316) (= @t519 @t316))))) % 69.30/69.50 (assume @p222 (forall @t518 (=> @t483 @t517))) % 69.30/69.50 (assume @p223 (forall @t136 (= (tptp.c_Relation_ODomain @t44 @t44 @t451) @t520))) % 69.30/69.50 (assume @p224 (forall @t136 (= (tptp.c_Relation_ORange @t44 @t44 @t451) @t521))) % 69.30/69.50 (assume @p225 (forall (@list @t93 @t94 @t128 @t44) (=> @t284 (=> @t522 @t286)))) % 69.30/69.50 (assume @p226 (forall @t287 (=> @t522 (=> @t284 @t286)))) % 69.30/69.50 (assume @p227 (forall @t486 (=> @t485 (=> (tptp.c_Relation_Osingle__valued @t44 @t57 @t173) @t357)))) % 69.30/69.50 (assume @p228 (forall @t127 (= (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t126 @t125) (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t55 @t54)))) % 69.30/69.50 (assume @p229 (forall @t523 (tptp.c_Relation_Osingle__valued @t44 @t44 @t459))) % 69.30/69.50 (assume @p230 (forall @t136 (= (tptp.c_Transitive__Closure_Ortranclp @t44 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t524) @t128) (tptp.hAPP (tptp.c_COMBB @t123 @t123 @t44 (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t44 tptp.c_fNot)) tptp.c_fequal))) @t463))) % 69.30/69.50 (assume @p231 (forall (@list @t43 @t55 @t93 @t94 @t44) (=> (tptp.hBOOL (tptp.hAPP @t249 @t55)) (=> (tptp.hBOOL (tptp.hAPP @t298 @t55)) (tptp.hBOOL (tptp.hAPP @t296 @t510)))))) % 69.30/69.50 (assume @p232 (forall @t302 (=> @t250 @t526))) % 69.30/69.50 (assume @p233 (forall @t302 (=> @t452 @t527))) % 69.30/69.50 (assume @p234 (forall @t302 (=> @t452 @t526))) % 69.30/69.50 (assume @p235 (forall @t304 (=> @t290 (=> @t462 (tptp.hBOOL (tptp.hAPP @t215 (tptp.c_FuncSet_Oextensional @t44 @t57 @t42))))))) % 69.30/69.50 (assume @p236 (forall @t528 (= (tptp.hBOOL (tptp.hAPP @t249 @t459)) @t111))) % 69.30/69.50 (assume @p237 (forall @t530 (= @t317 (or @t78 (and @t79 @t529))))) % 69.30/69.50 (assume @p238 (forall @t302 (=> @t250 @t531))) % 69.30/69.50 (assume @p239 (forall (@list @t55 @t93 @t94 @t44) (=> (tptp.hBOOL (tptp.hAPP @t249 @t316)) (or @t111 (and @t112 (tptp.hBOOL (tptp.hAPP @t249 @t510))))))) % 69.30/69.50 (assume @p240 (forall @t302 (=> @t301 @t527))) % 69.30/69.50 (assume @p241 (forall @t302 (=> @t452 @t531))) % 69.30/69.50 (assume @p242 (forall (@list @t75 @t128 @t70 @t71 @t44) (=> @t314 (=> (tptp.hBOOL (tptp.hAPP @t310 @t451)) (tptp.hBOOL (tptp.hAPP @t311 @t451)))))) % 69.30/69.50 (assume @p243 (forall @t436 (=> @t532 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t412 @t412)))) % 69.30/69.50 (assume @p244 (forall (@list @t71 @t1 @t2 @t44 @t57) (=> @t534 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t57 @t208 @t399))))) % 69.30/69.50 (assume @p245 (forall (@list @t1 @t2 @t44 @t57) (=> @t534 (= @t533 (forall @t8 (tptp.c_Orderings_Oord__class_Oless__eq @t57 @t6 @t5)))))) % 69.30/69.50 (assume @p246 (forall @t530 (=> @t529 (exists @t196 (and (tptp.hBOOL (tptp.hAPP @t536 @t316)) (tptp.hBOOL (tptp.hAPP @t535 @t55))))))) % 69.30/69.50 (assume @p247 (forall @t127 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t524 @t55 @t54) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t524 @t54 @t537) (= @t538 @t537))))) % 69.30/69.50 (assume @p248 (forall @t518 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t524 @t128 @t173) (tptp.c_Orderings_Oord__class_Oless__eq @t524 @t463 (tptp.c_Transitive__Closure_Ortranclp @t44 @t173))))) % 69.30/69.50 (assume @p249 (forall @t469 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t524 @t467 @t468) (tptp.c_Orderings_Oord__class_Oless__eq @t123 (tptp.c_Wellfounded_Oaccp @t44 @t468) (tptp.c_Wellfounded_Oaccp @t44 @t467))))) % 69.30/69.50 (assume @p250 (forall @t68 (= (tptp.c_Orderings_Oord__class_Oless__eq @t406 @t67 @t66) (tptp.c_Orderings_Oord__class_Oless__eq @t61 @t55 @t54)))) % 69.30/69.50 (assume @p251 (forall @t431 (=> @t539 (or @t497 @t498)))) % 69.30/69.50 (assume @p252 (forall @t146 (=> @t541 (= @t78 (and @t490 @t540))))) % 69.30/69.50 (assume @p253 (forall @t431 (=> @t532 (=> @t542 @t497)))) % 69.30/69.50 (assume @p254 (forall (@list @t71 @t70 @t44) (=> @t541 (=> @t540 (= @t490 @t78))))) % 69.30/69.50 (assume @p255 (forall @t426 (=> @t544 (=> @t543 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t420 @t419) @t507))))) % 69.30/69.50 (assume @p256 (forall @t426 (=> @t541 (=> @t543 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t419 @t420) @t545))))) % 69.30/69.50 (assume @p257 (forall @t426 (=> @t544 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t422 @t420) (=> @t546 @t507))))) % 69.30/69.50 (assume @p258 (forall @t429 (=> @t541 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t420 @t422) (=> @t546 @t545))))) % 69.30/69.50 (assume @p259 (forall @t431 (=> @t541 (=> @t497 (=> @t498 @t542))))) % 69.30/69.50 (assume @p260 (forall @t418 (=> @t532 (=> @t497 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t409 @t408) @t504))))) % 69.30/69.50 (assume @p261 (forall @t499 (=> @t541 (=> @t498 (=> @t497 @t542))))) % 69.30/69.50 (assume @p262 (forall @t548 (=> @t541 (=> @t498 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t408 @t409) @t547))))) % 69.30/69.50 (assume @p263 (forall @t431 (=> @t539 (=> (not @t497) @t498)))) % 69.30/69.50 (assume @p264 (forall (@list @t55 @t44 @t70 @t71 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t208 @t278) (=> (tptp.hBOOL (tptp.hAPP @t313 @t55)) (tptp.hBOOL (tptp.hAPP @t313 (tptp.c_Wellfounded_Omlex__prod @t44 @t2 @t55))))))) % 69.30/69.50 (assume @p265 (forall (@list @t236 @t42 @t57 @t48 @t44) (=> (forall @t8 (=> @t230 (tptp.c_Orderings_Oord__class_Oless__eq @t64 @t227 (tptp.hAPP @t236 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t370 @t212 (tptp.c_FuncSet_OPi @t44 @t57 @t48 @t236))))) % 69.30/69.50 (assume @p266 (forall @t530 (=> @t529 (exists @t196 (and (tptp.hBOOL (tptp.hAPP @t536 @t55)) (tptp.hBOOL (tptp.hAPP @t535 @t316))))))) % 69.30/69.50 (assume @p267 (forall (@list @t292 @t44) (=> (tptp.hBOOL (tptp.hAPP @t293 @t459)) (not (forall @t8 (not (= @t292 @t131))))))) % 69.30/69.50 (assume @p268 (forall (@list @t70 @t71 @t472 @t92 @t57 @t44) (=> @t551 (=> @t550 @t549)))) % 69.30/69.50 (assume @p269 (forall (@list @t472 @t57 @t44 @t70 @t71 @t92) (=> @t550 (=> @t551 @t549)))) % 69.30/69.50 (assume @p270 (forall @t136 (= @t553 @t552))) % 69.30/69.50 (assume @p271 (forall (@list @t48 @t128 @t93 @t94 @t44) (=> @t301 (=> @t556 @t554)))) % 69.30/69.50 (assume @p272 (forall @t557 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t459 @t173) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t266 (tptp.c_Relation_Orel__comp @t44 @t44 @t44 (tptp.hAPP (tptp.hAPP @t448 @t280) @t173) @t128) @t173) (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t280 @t173))))) % 69.30/69.50 (assume @p273 (forall (@list @t173 @t43 @t237 @t128 @t93 @t94 @t57 @t44) (=> @t353 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t564 (tptp.hAPP (tptp.hAPP @t562 @t93) @t43)) @t173)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t561 (tptp.hAPP (tptp.hAPP @t559 @t94) @t43)) @t558)))))) % 69.30/69.50 (assume @p274 (forall (@list @t236 @t173 @t237 @t42 @t48 @t128 @t57 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t61 @t128 @t567) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t566 @t173 (tptp.c_Product__Type_OSigma @t57 @t237 @t42 @t241)) (tptp.c_Orderings_Oord__class_Oless__eq @t565 @t558 (tptp.c_Product__Type_OSigma @t44 @t237 @t48 @t239)))))) % 69.30/69.50 (assume @p275 (forall (@list @t173 @t568 @t237 @t128 @t569 @t57 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t61 @t569 @t128) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t566 @t568 @t173) (tptp.c_Orderings_Oord__class_Oless__eq @t565 (tptp.c_Relation_Orel__comp @t44 @t57 @t237 @t569 @t568) @t558))))) % 69.30/69.50 (assume @p276 (forall (@list @t320 @t54 @t55 @t244 @t57 @t237 @t44) (= (tptp.c_Relation_Orel__comp @t44 @t237 @t57 (tptp.c_Relation_Orel__comp @t44 @t244 @t237 @t55 @t54) @t320) (tptp.c_Relation_Orel__comp @t44 @t244 @t57 @t55 (tptp.c_Relation_Orel__comp @t244 @t237 @t57 @t54 @t320))))) % 69.30/69.50 (assume @p277 (forall (@list @t173 @t237 @t128 @t57 @t44) (=> @t357 (=> (tptp.c_Relation_Osingle__valued @t57 @t237 @t173) (tptp.c_Relation_Osingle__valued @t44 @t237 @t558))))) % 69.30/69.50 (assume @p278 (forall @t570 (= (tptp.c_Relation_Orel__comp @t44 @t44 @t57 @t459 @t55) @t55))) % 69.30/69.50 (assume @p279 (forall @t570 (= (tptp.c_Relation_Orel__comp @t44 @t57 @t57 @t55 (tptp.c_Relation_OId @t57)) @t55))) % 69.30/69.50 (assume @p280 (forall @t136 (= @t572 @t571))) % 69.30/69.50 (assume @p281 (forall @t509 (= (tptp.c_Relation_Orel__comp @t44 @t44 @t44 @t316 @t316) @t316))) % 69.30/69.50 (assume @p282 (forall @t557 (=> (tptp.c_Wellfounded_Oacyclic @t44 @t173) (=> @t483 @t553)))) % 69.30/69.50 (assume @p283 (forall @t573 (=> @t556 (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t451 @t555)))) % 69.30/69.50 (assume @p284 (forall @t136 (= @t451 @t571))) % 69.30/69.50 (assume @p285 (forall @t136 (= @t451 @t572))) % 69.30/69.50 (assume @p286 (forall @t225 (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t368 @t555))) % 69.30/69.50 (assume @p287 (forall @t518 (=> @t483 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t266 (tptp.c_Relation_Orel__comp @t44 @t44 @t44 (tptp.hAPP (tptp.hAPP @t448 @t451) @t173) @t128) @t173) (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t451 @t173))))) % 69.30/69.50 (assume @p288 (forall @t440 (= @t442 (and @t556 @t574)))) % 69.30/69.50 (assume @p289 (forall (@list @t42 @t93 @t57 @t48 @t94 @t44) (=> @t138 (=> @t577 @t576)))) % 69.30/69.50 (assume @p290 (forall @t582 (=> @t581 (= (tptp.c_Orderings_Oord__class_Oless__eq @t455 @t580 @t579) (tptp.c_Orderings_Oord__class_Oless__eq @t64 @t48 @t42))))) % 69.30/69.50 (assume @p291 (forall @t583 (=> @t576 (not (=> @t138 (not @t577)))))) % 69.30/69.50 (assume @p292 (forall (@list @t57 @t44 @t92) (= (forall (@list @t584) (tptp.hBOOL (tptp.hAPP @t92 @t584))) (forall @t169 (tptp.hBOOL (tptp.hAPP @t92 @t328)))))) % 69.30/69.50 (assume @p293 (forall (@list @t88 @t89 @t93 @t94 @t57 @t44) (= (= @t178 @t176) (and @t174 (= @t93 @t88))))) % 69.30/69.50 (assume @p294 (forall (@list @t585 @t586 @t420 @t422 @t57 @t44) (=> (= (tptp.hAPP (tptp.hAPP @t58 @t422) @t420) (tptp.hAPP (tptp.hAPP @t58 @t586) @t585)) (not (=> (= @t422 @t586) (not (= @t420 @t585))))))) % 69.30/69.50 (assume @p295 (forall @t582 (=> @t581 (= (= @t580 @t579) @t53)))) % 69.30/69.50 (assume @p296 (forall @t591 (= (tptp.c_Product__Type_OSigma @t44 @t57 (tptp.hAPP (tptp.hAPP @t380 @t589) @t587) @t236) (tptp.hAPP (tptp.hAPP @t405 @t590) @t588)))) % 69.30/69.50 (assume @p297 (forall @t595 (= (tptp.c_Product__Type_OSigma @t44 @t57 @t382 @t592) (tptp.hAPP (tptp.hAPP @t405 @t594) @t593)))) % 69.30/69.50 (assume @p298 (forall @t600 (= (tptp.c_Product__Type_OSigma @t44 @t57 @t589 (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP (tptp.c_COMBB @t64 @t598 @t44 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t64)) @t48)) @t42)) (tptp.hAPP (tptp.hAPP @t405 @t597) @t596)))) % 69.30/69.50 (assume @p299 (forall @t583 (= @t576 (and @t138 @t577)))) % 69.30/69.50 (assume @p300 (forall @t583 (=> @t576 @t138))) % 69.30/69.50 (assume @p301 (forall @t583 (=> @t576 @t577))) % 69.30/69.50 (assume @p302 (forall @t573 (=> @t556 (=> @t574 @t442)))) % 69.30/69.50 (assume @p303 (forall (@list @t93 @t94 @t601 @t44 @t237 @t57) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t57 @t237 @t44 @t601 @t602) (tptp.hAPP (tptp.hAPP @t601 @t94) @t93)))) % 69.30/69.50 (assume @p304 (forall (@list @t70 @t71 @t173 @t128 @t237 @t57 @t44) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t44 @t57 @t237 @t363 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t57 @t566 @t238) (tptp.hAPP (tptp.c_COMBB @t604 (tptp.tc_fun @t566 @t238) @t57 (tptp.c_COMBC @t237 @t566 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t237 @t563) @t604 @t57 (tptp.c_COMBB @t563 @t603 @t237 @t564)) @t562))) @t173)) @t71) @t70)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t561 (tptp.hAPP (tptp.hAPP @t559 @t71) @t70)) @t558))))) % 69.30/69.50 (assume @p305 (forall (@list @t237 @t57 @t44 @t43 @t173 @t93 @t94 @t128) (=> @t285 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t93) @t43)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t605 @t94) @t43)))))) % 69.30/69.50 (assume @p306 (forall (@list @t478 @t194 @t173 @t128 @t237 @t57 @t44) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t605 @t194) @t478)) (exists @t480 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t194) @t163)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t173 @t163) @t478))))))) % 69.30/69.50 (assume @p307 (forall (@list @t42 @t48 @t43 @t57 @t44) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t43) @t575)) (not (forall @t8 (=> @t230 (forall @t263 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t209 @t260) @t227)) (not (= @t43 @t360)))))))))) % 69.30/69.50 (assume @p308 (forall @t136 (=> @t552 @t553))) % 69.30/69.50 (assume @p309 (forall (@list @t245 @t42 @t57 @t236 @t48 @t44) (=> @t476 (=> (forall @t8 (=> @t230 (tptp.c_Orderings_Oord__class_Oless__eq @t64 @t227 (tptp.hAPP @t245 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t61 @t575 (tptp.c_Product__Type_OSigma @t44 @t57 @t236 @t245)))))) % 69.30/69.50 (assume @p310 (forall (@list @t173 @t128 @t237 @t607 @t57 @t44) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t60 @t607) (tptp.c_Relation_Orel__comp @t44 @t237 @t57 @t128 @t173))) (not (forall (@list @t4 @t260 @t191) (=> (= @t607 @t359) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t561 (tptp.hAPP (tptp.hAPP @t559 @t4) @t260)) @t128)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t606) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t237 @t57) @t260) @t191)) @t173)))))))))) % 69.30/69.50 (assume @p311 (forall @t509 (= (tptp.c_Predicate_Opred__comp @t44 @t44 @t44 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t44 @t44 @t44 @t55 tptp.c_fequal)) @t55))) % 69.30/69.50 (assume @p312 (forall (@list @t93 @t94 @t43 @t44 @t237 @t57) (= (tptp.c_Product__Type_Ointernal__split @t57 @t237 @t44 @t43 @t602) (tptp.hAPP (tptp.hAPP @t43 @t94) @t93)))) % 69.30/69.50 (assume @p313 (forall (@list @t70 @t71 @t43 @t44 @t237 @t57) (= (tptp.c_Product__Type_Ocurry @t57 @t237 @t44 @t43 @t71 @t70) (tptp.hAPP @t43 (tptp.hAPP (tptp.hAPP @t562 @t71) @t70))))) % 69.30/69.50 (assume @p314 (forall @t136 (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t451 (tptp.c_Product__Type_OSigma @t44 @t44 @t608 (tptp.c_COMBK @t123 @t44 @t608))))) % 69.30/69.50 (assume @p315 (forall (@list @t128 @t71 @t70 @t44) (= (tptp.c_Wellfounded_Oacyclic @t44 (tptp.c_Set_Oinsert @t132 @t276 @t128)) (and @t553 (not @t314))))) % 69.30/69.50 (assume @p316 (forall (@list @t93 @t94 @t57 @t44 @t2) (=> @t610 @t609))) % 69.30/69.50 (assume @p317 (forall @t614 (=> (=> (not @t613) @t111) @t612))) % 69.30/69.50 (assume @p318 (forall @t616 (=> @t615 (=> @t112 @t138)))) % 69.30/69.50 (assume @p319 (forall @t620 (= (tptp.hAPP (tptp.hAPP @t380 @t619) @t618) @t617))) % 69.30/69.50 (assume @p320 (forall @t354 (= (tptp.c_Relation_ODomain @t44 @t57 (tptp.c_Set_Oinsert @t59 @t178 @t128)) (tptp.c_Set_Oinsert @t44 @t94 @t350)))) % 69.30/69.50 (assume @p321 (forall (@list @t128 @t93 @t94 @t44 @t57) (= (tptp.c_Relation_ORange @t57 @t44 (tptp.c_Set_Oinsert @t396 (tptp.hAPP (tptp.hAPP @t395 @t94) @t93) @t128)) (tptp.c_Set_Oinsert @t44 @t93 @t398)))) % 69.30/69.50 (assume @p322 (forall @t149 (= (tptp.c_Set_Oinsert @t44 @t71 @t621) @t621))) % 69.30/69.50 (assume @p323 (forall @t369 (= (tptp.c_Set_Oinsert @t44 @t71 @t622) (tptp.c_Set_Oinsert @t44 @t70 @t621)))) % 69.30/69.50 (assume @p324 (forall (@list @t71 @t48 @t70 @t44) (= (tptp.hBOOL (tptp.hAPP @t622 @t71)) (or (= @t70 @t71) @t148)))) % 69.30/69.50 (assume @p325 (forall @t623 (=> @t138 (= @t619 @t48)))) % 69.30/69.50 (assume @p326 (forall @t614 (=> @t613 @t612))) % 69.30/69.50 (assume @p327 (forall @t487 (=> @t206 (=> (not @t145) (= (= @t621 @t624) @t53))))) % 69.30/69.50 (assume @p328 (forall @t616 (= @t615 @t554))) % 69.30/69.50 (assume @p329 (forall (@list @t42 @t94 @t44) (tptp.hBOOL (tptp.hAPP @t137 @t618)))) % 69.30/69.50 (assume @p330 (forall (@list @t94 @t42 @t44) (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t42 @t618))) % 69.30/69.50 (assume @p331 (forall (@list @t93 @t42 @t48 @t44) (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t48 @t611)))) % 69.30/69.50 (assume @p332 (forall (@list @t94 @t245 @t236 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t236 @t245) (tptp.c_Orderings_Oord__class_Oless__eq @t123 (tptp.c_Set_Oinsert @t44 @t94 @t236) (tptp.c_Set_Oinsert @t44 @t94 @t245))))) % 69.30/69.50 (assume @p333 (forall @t487 (=> @t206 (= (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t48 @t624) @t462)))) % 69.30/69.50 (assume @p334 (forall @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t621 @t42) (and @t145 @t462)))) % 69.30/69.50 (assume @p335 (forall @t628 @t627)) % 69.30/69.50 (assume @p336 (forall @t620 @t630)) % 69.30/69.50 (assume @p337 (forall @t628 @t631)) % 69.30/69.50 (assume @p338 (forall @t620 @t633)) % 69.30/69.50 (assume @p339 (forall @t628 (and @t627 @t631))) % 69.30/69.50 (assume @p340 (forall @t620 (and @t630 @t633))) % 69.30/69.50 (assume @p341 (forall (@list @t93 @t94 @t2 @t57 @t44) (=> @t609 @t610))) % 69.30/69.50 (assume @p342 (forall @t518 (=> @t483 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t608 @t634)))) % 69.30/69.50 (assume @p343 (forall (@list @t93 @t94 @t2 @t44 @t237 @t57) (= (tptp.c_Product__Type_Ocurry @t57 @t237 @t44 @t2 @t94 @t93) (tptp.hAPP @t2 @t602)))) % 69.30/69.50 (assume @p344 (forall (@list @t320 @t2 @t57 @t54 @t71 @t44) (=> @t319 (=> (tptp.hBOOL (tptp.hAPP @t215 (tptp.c_FuncSet_Oextensional__funcset @t44 @t57 (tptp.c_Set_Oinsert @t44 @t71 @t54) @t320))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t214 (tptp.c_Fun_Ofun__upd @t44 @t57 @t2 @t71 @t273)) @t321)))))) % 69.30/69.50 (assume @p345 (forall (@list @t71 @t54 @t2 @t57 @t320 @t70 @t44) (=> (tptp.hBOOL (tptp.hAPP @t141 @t320)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t635 @t2) (tptp.c_FuncSet_Oextensional__funcset @t57 @t44 @t54 @t320))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t635 (tptp.c_Fun_Ofun__upd @t57 @t44 @t2 @t71 @t70)) (tptp.c_FuncSet_Oextensional__funcset @t57 @t44 (tptp.c_Set_Oinsert @t57 @t71 @t54) @t320))))))) % 69.30/69.50 (assume @p346 (forall (@list @t42 @t93 @t48 @t94 @t57 @t44) (= (tptp.c_Product__Type_OSigma @t44 @t57 @t619 @t636) (tptp.c_Set_Oinsert @t59 @t178 (tptp.hAPP (tptp.hAPP @t637 (tptp.c_Product__Type_OSigma @t44 @t57 @t48 @t636)) (tptp.c_Product__Type_OSigma @t44 @t57 @t619 @t219)))))) % 69.30/69.50 (assume @p347 (forall (@list @t44 @t48 @t71 @t42) (=> (=> @t379 @t148) @t641))) % 69.30/69.50 (assume @p348 (forall @t384 (=> @t641 (=> (not @t148) @t378)))) % 69.30/69.50 (assume @p349 (forall @t386 (=> @t642 @t50))) % 69.30/69.50 (assume @p350 (forall @t643 (=> (=> @t51 @t49) @t642))) % 69.30/69.50 (assume @p351 (forall (@list @t42 @t94 @t48 @t44) (= (tptp.hAPP @t639 @t618) (tptp.c_Set_Oinsert @t44 @t94 @t640)))) % 69.30/69.50 (assume @p352 (forall (@list @t236 @t42 @t94 @t44) (= (tptp.hAPP (tptp.hAPP @t638 @t618) @t236) (tptp.c_Set_Oinsert @t44 @t94 @t645)))) % 69.30/69.50 (assume @p353 (forall @t518 (= (tptp.c_Relation_OField @t44 @t648) (tptp.hAPP (tptp.hAPP @t638 @t608) @t634)))) % 69.30/69.50 (assume @p354 (forall @t418 (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t654 @t653)))) % 69.30/69.50 (assume @p355 (forall @t418 (=> @t402 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t658 @t657)))) % 69.30/69.50 (assume @p356 (forall @t591 (= (tptp.c_Product__Type_OSigma @t44 @t57 (tptp.hAPP (tptp.hAPP @t638 @t589) @t587) @t236) (tptp.hAPP (tptp.hAPP @t637 @t590) @t588)))) % 69.30/69.50 (assume @p357 (forall @t595 (= (tptp.c_Product__Type_OSigma @t44 @t57 @t640 @t592) (tptp.hAPP (tptp.hAPP @t637 @t594) @t593)))) % 69.30/69.50 (assume @p358 (forall @t600 (= (tptp.c_Product__Type_OSigma @t44 @t57 @t589 (tptp.hAPP (tptp.hAPP @t599 (tptp.hAPP (tptp.c_COMBB @t64 @t598 @t44 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t64)) @t48)) @t42)) (tptp.hAPP (tptp.hAPP @t637 @t597) @t596)))) % 69.30/69.50 (assume @p359 (forall @t431 (=> @t402 @t659))) % 69.30/69.50 (assume @p360 (forall @t431 (=> @t660 @t659))) % 69.30/69.50 (assume @p361 (forall @t499 (=> @t402 @t661))) % 69.30/69.50 (assume @p362 (forall @t499 (=> @t660 @t661))) % 69.30/69.50 (assume @p363 (forall @t146 (=> @t660 (= @t490 (= @t662 @t70))))) % 69.30/69.50 (assume @p364 (forall @t492 (=> @t660 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t662 @t75) (and @t491 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t70 @t75)))))) % 69.30/69.50 (assume @p365 (forall @t503 (=> @t660 (=> @t502 @t665)))) % 69.30/69.50 (assume @p366 (forall (@list @t422 @t420 @t412 @t44) (=> @t660 (=> @t501 @t665)))) % 69.30/69.50 (assume @p367 (forall @t431 (=> @t660 (=> @t497 (= @t652 @t409))))) % 69.30/69.50 (assume @p368 (forall @t499 (=> @t660 (=> @t498 (= @t652 @t412))))) % 69.30/69.50 (assume @p369 (forall @t495 (=> @t660 (=> @t494 (=> @t496 @t666))))) % 69.30/69.50 (assume @p370 (forall @t548 (=> @t660 (=> @t498 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t656 @t412)))))) % 69.30/69.50 (assume @p371 (forall @t508 (=> @t660 (=> @t507 (=> @t506 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t664 (tptp.hAPP (tptp.hAPP @t649 @t419) @t505))))))) % 69.30/69.50 (assume @p372 (forall (@list @t412 @t420 @t422 @t44) (=> @t660 (=> @t666 (not (=> @t494 (not @t496))))))) % 69.30/69.50 (assume @p373 (forall @t515 (=> @t476 (=> @t514 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t640 (tptp.hAPP @t667 @t245)))))) % 69.30/69.50 (assume @p374 (forall (@list @t42 @t236 @t48 @t44) (=> @t476 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t640 @t236))))) % 69.30/69.50 (assume @p375 (forall @t511 (=> @t461 (= @t640 @t48)))) % 69.30/69.50 (assume @p376 (forall @t392 (=> @t462 @t668))) % 69.30/69.50 (assume @p377 (forall @t392 (= @t462 @t668))) % 69.30/69.50 (assume @p378 (forall @t511 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t42 @t640))) % 69.30/69.50 (assume @p379 (forall @t392 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t48 @t640))) % 69.30/69.50 (assume @p380 (forall @t436 (=> @t402 @t669))) % 69.30/69.50 (assume @p381 (forall @t431 (=> @t402 (= (tptp.hAPP @t413 @t652) @t412)))) % 69.30/69.50 (assume @p382 (forall @t431 (=> @t402 (= (tptp.hAPP @t650 @t415) @t412)))) % 69.30/69.50 (assume @p383 (forall @t418 (=> @t670 (= @t657 @t658)))) % 69.30/69.50 (assume @p384 (forall @t418 (=> @t670 (= @t654 @t653)))) % 69.30/69.50 (assume @p385 (forall @t671 (=> @t670 (= (tptp.hAPP (tptp.hAPP @t400 @t656) @t412) (tptp.hAPP (tptp.hAPP @t649 @t433) (tptp.hAPP (tptp.hAPP @t400 @t408) @t412)))))) % 69.30/69.50 (assume @p386 (forall @t671 (=> @t670 (= (tptp.hAPP (tptp.hAPP @t649 @t411) @t412) (tptp.hAPP (tptp.hAPP @t400 @t672) (tptp.hAPP (tptp.hAPP @t649 @t408) @t412)))))) % 69.30/69.50 (assume @p387 (forall @t386 (= @t642 (or @t49 @t47)))) % 69.30/69.50 (assume @p388 (forall @t386 (=> @t49 @t642))) % 69.30/69.50 (assume @p389 (forall @t643 (=> @t47 @t642))) % 69.30/69.50 (assume @p390 (forall @t403 (=> @t402 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t401) @t2) @t1) @t71) (tptp.hAPP (tptp.hAPP @t649 @t208) @t399))))) % 69.30/69.50 (assume @p391 (forall @t418 (=> @t660 @t674))) % 69.30/69.50 (assume @p392 (forall @t418 (=> @t402 @t674))) % 69.30/69.50 (assume @p393 (forall @t426 (=> @t660 (= (tptp.hAPP (tptp.hAPP @t649 @t664) @t419) @t676)))) % 69.30/69.50 (assume @p394 (forall @t418 (=> @t660 @t677))) % 69.30/69.50 (assume @p395 (forall @t418 (=> @t402 @t677))) % 69.30/69.50 (assume @p396 (forall @t429 (=> @t660 (= (tptp.hAPP @t675 (tptp.hAPP @t663 @t419)) @t676)))) % 69.30/69.50 (assume @p397 (forall @t431 (=> @t660 @t678))) % 69.30/69.50 (assume @p398 (forall @t431 (=> @t402 @t678))) % 69.30/69.50 (assume @p399 (forall @t432 (=> @t660 (= (tptp.hAPP @t663 @t664) @t664)))) % 69.30/69.50 (assume @p400 (forall @t431 (=> @t660 @t679))) % 69.30/69.50 (assume @p401 (forall @t431 (=> @t402 @t679))) % 69.30/69.50 (assume @p402 (forall @t432 (=> @t660 (= @t664 (tptp.hAPP @t675 @t422))))) % 69.30/69.50 (assume @p403 (forall @t436 (=> @t660 @t669))) % 69.30/69.50 (assume @p404 (forall @t437 (=> @t660 (= (tptp.hAPP @t663 @t422) @t422)))) % 69.30/69.50 (assume @p405 (forall @t456 (= (tptp.c_Relation_ODomain @t44 @t57 (tptp.hAPP (tptp.hAPP @t637 @t48) @t42)) (tptp.hAPP (tptp.hAPP @t638 @t458) @t457)))) % 69.30/69.50 (assume @p406 (forall (@list @t48 @t44 @t71 @t42) (=> @t378 @t641))) % 69.30/69.50 (assume @p407 (forall (@list @t42 @t44 @t71 @t48) (=> @t148 @t641))) % 69.30/69.50 (assume @p408 (forall @t683 (= (forall @t8 (=> @t682 @t680)) (and (forall @t8 (=> @t230 @t680)) (forall @t8 (=> @t681 @t680)))))) % 69.30/69.50 (assume @p409 (forall @t683 (= (exists @t8 (and @t682 @t680)) (or (exists @t8 (and @t230 @t680)) (exists @t8 (and @t681 @t680)))))) % 69.30/69.50 (assume @p410 (forall @t390 (= (tptp.hAPP (tptp.hAPP @t638 @t640) @t236) @t684))) % 69.30/69.50 (assume @p411 (forall @t390 (= @t684 (tptp.hAPP @t644 @t685)))) % 69.30/69.50 (assume @p412 (forall @t392 (= (tptp.hAPP @t639 @t640) @t640))) % 69.30/69.50 (assume @p413 (forall @t392 (= @t640 @t686))) % 69.30/69.50 (assume @p414 (forall @t225 (= (tptp.hAPP @t639 @t48) @t48))) % 69.30/69.50 (assume @p415 (forall (@list @t42 @t48 @t44 @t57) (= (tptp.c_Relation_ORange @t57 @t44 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t455) @t48) @t42)) (tptp.hAPP (tptp.hAPP @t638 @t454) @t453)))) % 69.30/69.51 (assume @p416 (forall @t450 (=> @t442 (=> @t449 (tptp.c_Relation_Orefl__on @t44 @t640 @t648))))) % 69.30/69.51 (assume @p417 (forall @t394 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t638 @t126) @t125) @t71)) (tptp.hBOOL (tptp.hAPP @t143 (tptp.hAPP (tptp.hAPP @t638 @t55) @t54)))))) % 69.30/69.51 (assume @p418 (forall @t127 (= (tptp.c_Transitive__Closure_Ortrancl @t44 @t690) @t688))) % 69.30/69.51 (assume @p419 (forall @t390 (= @t692 (tptp.hAPP @t691 @t391)))) % 69.30/69.51 (assume @p420 (forall @t390 (= (tptp.hAPP @t639 @t388) (tptp.hAPP @t693 @t685)))) % 69.30/69.51 (assume @p421 (forall @t695 (= (tptp.hAPP (tptp.hAPP @t380 @t645) @t48) (tptp.hAPP (tptp.hAPP @t638 @t393) @t694)))) % 69.30/69.51 (assume @p422 (forall @t695 (= (tptp.hAPP (tptp.hAPP @t638 @t388) @t48) (tptp.hAPP (tptp.hAPP @t380 @t686) @t696)))) % 69.30/69.51 (assume @p423 (forall @t390 (= (tptp.hAPP (tptp.hAPP @t638 (tptp.hAPP @t691 @t388)) @t694) (tptp.hAPP (tptp.hAPP @t380 (tptp.hAPP @t693 @t645)) @t696)))) % 69.30/69.51 (assume @p424 (forall (@list @t320 @t54 @t55 @t57 @t237 @t44) (= (tptp.c_Relation_Orel__comp @t44 @t237 @t57 @t55 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t697) @t54) @t320)) (tptp.hAPP (tptp.hAPP @t637 (tptp.c_Relation_Orel__comp @t44 @t237 @t57 @t55 @t54)) (tptp.c_Relation_Orel__comp @t44 @t237 @t57 @t55 @t320))))) % 69.30/69.51 (assume @p425 (forall (@list @t55 @t320 @t54 @t57 @t237 @t44) (= (tptp.c_Relation_Orel__comp @t44 @t237 @t57 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t565) @t54) @t320) @t55) (tptp.hAPP (tptp.hAPP @t637 (tptp.c_Relation_Orel__comp @t44 @t237 @t57 @t54 @t55)) (tptp.c_Relation_Orel__comp @t44 @t237 @t57 @t320 @t55))))) % 69.30/69.51 (assume @p426 (forall @t390 (= (= (tptp.hAPP @t691 @t236) @t692) @t512))) % 69.30/69.51 (assume @p427 (forall (@list @t54 @t55 @t71 @t44) (=> (or (tptp.hBOOL (tptp.hAPP @t698 @t316)) (tptp.hBOOL (tptp.hAPP @t698 @t519))) (tptp.hBOOL (tptp.hAPP @t698 @t688))))) % 69.30/69.51 (assume @p428 (forall @t127 (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t690 @t688))) % 69.30/69.51 (assume @p429 (forall @t136 (= @t451 (tptp.hAPP @t647 (tptp.c_Relation_Orel__comp @t44 @t44 @t44 @t451 @t128))))) % 69.30/69.51 (assume @p430 (forall @t509 (= (tptp.hAPP @t689 @t459) @t316))) % 69.30/69.51 (assume @p431 (forall @t509 (= (tptp.c_Transitive__Closure_Ortrancl @t44 (tptp.hAPP @t687 @t459)) @t316))) % 69.30/69.51 (assume @p432 (forall @t136 (= (tptp.hAPP (tptp.hAPP @t646 @t451) @t459) @t280))) % 69.30/69.51 (assume @p433 (forall @t136 (= (tptp.c_Transitive__Closure_Otrancl @t44 (tptp.hAPP @t647 @t459)) @t280))) % 69.30/69.51 (assume @p434 (forall @t136 (= @t280 (tptp.hAPP (tptp.hAPP @t646 @t459) @t571)))) % 69.30/69.51 (assume @p435 (forall @t136 (= @t608 (tptp.hAPP (tptp.hAPP @t638 @t520) @t521)))) % 69.30/69.51 (assume @p436 (forall (@list @t71 @t2 @t57 @t44) (= (tptp.c_Fun_Ofun__upd @t44 @t57 @t2 @t71 @t208) @t2))) % 69.30/69.51 (assume @p437 (forall @t404 (= (tptp.c_Relation_OField @t44 (tptp.c_Set_Oinsert @t132 @t248 @t128)) (tptp.hAPP (tptp.hAPP @t638 @t701) @t608)))) % 69.30/69.51 (assume @p438 (forall @t460 (not (tptp.hBOOL (tptp.hAPP @t137 @t699))))) % 69.30/69.51 (assume @p439 (forall @t225 (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t699 @t48))) % 69.30/69.51 (assume @p440 (forall @t623 (not (= @t699 @t619)))) % 69.30/69.51 (assume @p441 (forall @t623 (not (= @t619 @t699)))) % 69.30/69.51 (assume @p442 (forall (@list @t702 @t43 @t93 @t94 @t44) (= (= @t701 (tptp.c_Set_Oinsert @t44 @t43 (tptp.c_Set_Oinsert @t44 @t702 @t699))) (or (and (= @t94 @t43) (= @t93 @t702)) (and (= @t94 @t702) (= @t93 @t43)))))) % 69.30/69.51 (assume @p443 (forall @t528 (=> (= @t703 @t700) @t111))) % 69.30/69.51 (assume @p444 (forall @t706 (= (tptp.c_FuncSet_Oextensional @t44 @t57 @t699) @t705))) % 69.30/69.51 (assume @p445 (forall (@list @t320 @t57 @t44) (= (tptp.c_FuncSet_Oextensional__funcset @t44 @t57 @t699 @t320) @t705))) % 69.30/69.51 (assume @p446 (forall @t146 (=> @t708 (= (= @t662 @t707) (and (= @t71 @t707) (= @t70 @t707)))))) % 69.30/69.51 (assume @p447 (forall @t436 (=> @t708 (= (tptp.hAPP @t650 @t707) @t412)))) % 69.30/69.51 (assume @p448 (forall @t436 (=> @t708 (= (tptp.hAPP (tptp.hAPP @t649 @t707) @t412) @t412)))) % 69.30/69.51 (assume @p449 (forall @t392 (= (= @t640 @t699) (and @t709 (= @t42 @t699))))) % 69.30/69.51 (assume @p450 (forall @t225 (= (tptp.hAPP @t639 @t699) @t48))) % 69.30/69.51 (assume @p451 (forall @t710 (= (tptp.hAPP (tptp.hAPP @t638 @t699) @t42) @t42))) % 69.30/69.51 (assume @p452 (forall @t509 (= (tptp.c_Transitive__Closure_Ortranclp @t44 (tptp.hAPP @t712 tptp.c_fequal)) @t537))) % 69.30/69.51 (assume @p453 (forall @t127 (= (tptp.c_Transitive__Closure_Ortranclp @t44 (tptp.hAPP (tptp.hAPP @t711 @t537) @t538)) (tptp.c_Transitive__Closure_Ortranclp @t44 (tptp.hAPP @t712 @t54))))) % 69.30/69.51 (assume @p454 (forall @t715 (= @t714 @t713))) % 69.30/69.51 (assume @p455 (forall @t715 (=> @t714 @t713))) % 69.30/69.51 (assume @p456 (forall @t717 (= (tptp.c_Relation_Orel__comp @t44 @t237 @t57 @t55 (tptp.c_Orderings_Obot__class_Obot @t697)) @t716))) % 69.30/69.51 (assume @p457 (forall @t717 (= (tptp.c_Relation_Orel__comp @t44 @t237 @t57 (tptp.c_Orderings_Obot__class_Obot @t565) @t55) @t716))) % 69.30/69.51 (assume @p458 (forall @t436 (=> @t708 (= (tptp.hAPP @t413 @t707) @t707)))) % 69.30/69.51 (assume @p459 (forall @t436 (=> @t708 (= (tptp.hAPP (tptp.hAPP @t400 @t707) @t412) @t707)))) % 69.30/69.51 (assume @p460 (forall (@list @t71 @t57 @t44) (=> @t718 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t401) @t71) @t707)))) % 69.30/69.51 (assume @p461 (forall (@list @t94 @t44 @t48) (=> @t709 @t632))) % 69.30/69.51 (assume @p462 (forall (@list @t43 @t44) (not (tptp.hBOOL (tptp.hAPP @t46 @t699))))) % 69.30/69.51 (assume @p463 (forall @t225 (= (exists @t8 @t230) (not @t709)))) % 69.30/69.51 (assume @p464 (forall @t225 (= (forall @t8 (not @t230)) @t709))) % 69.30/69.51 (assume @p465 (forall @t392 (= (= @t382 @t699) (forall @t8 (=> @t230 (forall @t170 (=> (tptp.hBOOL (tptp.hAPP @t439 @t42)) @t438))))))) % 69.30/69.51 (assume @p466 (forall @t225 (= (tptp.hAPP @t381 @t699) @t699))) % 69.30/69.51 (assume @p467 (forall @t710 (= (tptp.hAPP (tptp.hAPP @t380 @t699) @t42) @t699))) % 69.30/69.51 (assume @p468 (forall @t523 (= (tptp.c_Transitive__Closure_Otrancl @t44 @t719) @t719))) % 69.30/69.51 (assume @p469 (forall @t523 (tptp.c_Relation_Orefl__on @t44 @t699 @t719))) % 69.30/69.51 (assume @p470 (forall (@list @t128 @t44 @t57) (= (= @t398 @t699) (= @t128 @t720)))) % 69.30/69.51 (assume @p471 (forall (@list @t44 @t57) (= (tptp.c_Relation_ORange @t57 @t44 @t720) @t699))) % 69.30/69.51 (assume @p472 (forall @t523 (= (tptp.c_Relation_OId__on @t44 @t699) @t719))) % 69.30/69.51 (assume @p473 (forall (@list @t57 @t44 @t54) (=> (not (= @t54 @t699)) (= (tptp.c_FuncSet_Oextensional__funcset @t44 @t57 @t54 @t721) @t704)))) % 69.30/69.51 (assume @p474 (forall @t456 (= (= @t212 @t704) (exists @t8 (and @t230 (= @t227 @t721)))))) % 69.30/69.51 (assume @p475 (forall @t362 (= (= @t350 @t699) (= @t128 @t716)))) % 69.30/69.51 (assume @p476 (forall @t706 (= (tptp.c_Relation_ODomain @t44 @t57 @t716) @t699))) % 69.30/69.51 (assume @p477 (forall @t436 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t707 @t412)))) % 69.30/69.51 (assume @p478 (forall @t136 (tptp.c_Relation_Ototal__on @t44 @t699 @t128))) % 69.30/69.51 (assume @p479 (forall (@list @t71 @t44) (= (tptp.hBOOL (tptp.hAPP @t699 @t71)) (tptp.hBOOL (tptp.hAPP @t143 @t699))))) % 69.30/69.51 (assume @p480 (forall @t225 (= (tptp.c_Orderings_Oord__class_Oless__eq @t123 @t48 @t699) @t709))) % 69.30/69.51 (assume @p481 (forall (@list @t42 @t44 @t48) (=> (= @t48 @t719) (tptp.c_Orderings_Oord__class_Oless__eq @t266 @t48 @t42)))) % 69.30/69.51 (assume @p482 (forall (@list @t42 @t57 @t44) (= (tptp.c_Product__Type_OSigma @t44 @t57 @t699 @t42) @t716))) % 69.30/69.51 (assume @p483 (forall (@list @t48 @t57 @t44) (= (tptp.c_Product__Type_OSigma @t44 @t57 @t48 (tptp.c_COMBK @t64 @t44 @t721)) @t716))) % 69.30/69.51 (assume @p484 (forall @t456 (= (= @t567 @t716) (or @t709 (= @t42 @t721))))) % 69.30/69.51 (assume @p485 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p486 (forall @t726 (=> @t725 (tptp.class_Lattices_Obounded__lattice @t724)))) % 69.30/69.51 (assume @p487 (forall @t726 (=> @t725 (tptp.class_Lattices_Obounded__lattice__bot @t724)))) % 69.30/69.51 (assume @p488 (forall @t726 (=> @t727 (tptp.class_Lattices_Osemilattice__sup @t724)))) % 69.30/69.51 (assume @p489 (forall @t726 (=> @t727 (tptp.class_Lattices_Osemilattice__inf @t724)))) % 69.30/69.51 (assume @p490 (forall @t726 (=> (tptp.class_Lattices_Odistrib__lattice @t722) (tptp.class_Lattices_Odistrib__lattice @t724)))) % 69.30/69.51 (assume @p491 (forall @t726 (=> (tptp.class_Orderings_Opreorder @t722) (tptp.class_Orderings_Opreorder @t724)))) % 69.30/69.51 (assume @p492 (forall @t726 (=> @t727 (tptp.class_Lattices_Olattice @t724)))) % 69.30/69.51 (assume @p493 (forall @t726 (=> (tptp.class_Orderings_Oorder @t722) (tptp.class_Orderings_Oorder @t724)))) % 69.30/69.51 (assume @p494 (forall @t726 (=> (tptp.class_Orderings_Oord @t722) (tptp.class_Orderings_Oord @t724)))) % 69.30/69.51 (assume @p495 (forall @t726 (=> (tptp.class_Orderings_Obot @t722) (tptp.class_Orderings_Obot @t724)))) % 69.30/69.51 (assume @p496 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p497 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p498 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p500 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p501 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p502 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p503 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p504 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 69.30/69.51 (assume @p505 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p506 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p507 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p508 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p509 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p510 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p511 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p512 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p513 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 69.30/69.51 (assume @p514 (forall (@list @t728 @t44) (= (tptp.hAPP @t223 @t728) @t728))) % 69.30/69.51 (assume @p515 (forall (@list @t729 @t728 @t57 @t44) (= (tptp.hAPP (tptp.c_COMBK @t44 @t57 @t728) @t729) @t728))) % 69.30/69.51 (assume @p516 (forall (@list @t55 @t472 @t92 @t237 @t44 @t57) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t57 @t44 @t237 @t92) @t472) @t55) (tptp.hAPP @t92 @t730)))) % 69.30/69.51 (assume @p517 (forall @t732 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t57 @t237 @t44) @t92) @t472) @t55) (tptp.hAPP @t731 @t472)))) % 69.30/69.51 (assume @p518 (forall @t732 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t57 @t237 @t44) @t92) @t472) @t55) (tptp.hAPP @t731 @t730)))) % 69.30/69.51 (assume @p519 (forall @t734 (or (not @t733) @t78))) % 69.30/69.51 (assume @p520 (forall @t734 (or @t79 @t733))) % 69.30/69.51 (assume @p521 (forall @t737 (or (not @t736) @t735))) % 69.30/69.51 (assume @p522 (forall @t737 (or (not @t735) @t736))) % 69.30/69.51 (assume @p523 @t740) % 69.30/69.51 (assume @p524 true) % 69.30/69.51 (step @p525 :rule aci_norm :args ((= (or @t713 @t748) @t747))) % 69.30/69.51 (step @p526 :rule aci_norm :args ((= (or @t746 @t749) @t748))) % 69.30/69.51 (step @p527 :rule aci_norm :args ((= (or @t745 @t750) @t749))) % 69.30/69.51 (step @p528 :rule aci_norm :args ((= (or @t744 @t751) @t750))) % 69.30/69.51 (step @p529 :rule aci_norm :args ((= (or @t743 @t752) @t751))) % 69.30/69.51 (step @p530 :rule aci_norm :args ((= (or @t742 (or @t741 @t98)) @t752))) % 69.30/69.51 (step @p531 :rule bool-impl-elim :args (@t99 @t98)) % 69.30/69.51 (step @p532 :rule refl :args (@t742)) % 69.30/69.51 (step @p533 :rule nary_cong :premises (@p532 @p531) :args ((or @t742 @t100))) % 69.30/69.51 (step @p534 :rule trans :premises (@p533 @p530)) % 69.30/69.51 (step @p535 :rule bool-impl-elim :args (@t101 @t100)) % 69.30/69.51 (step @p536 :rule trans :premises (@p535 @p534)) % 69.30/69.51 (step @p537 :rule refl :args (@t743)) % 69.30/69.51 (step @p538 :rule nary_cong :premises (@p537 @p536) :args ((or @t743 @t102))) % 69.30/69.51 (step @p539 :rule trans :premises (@p538 @p529)) % 69.30/69.51 (step @p540 :rule bool-impl-elim :args (@t103 @t102)) % 69.30/69.51 (step @p541 :rule trans :premises (@p540 @p539)) % 69.30/69.51 (step @p542 :rule refl :args (@t744)) % 69.30/69.51 (step @p543 :rule nary_cong :premises (@p542 @p541) :args ((or @t744 @t104))) % 69.30/69.51 (step @p544 :rule trans :premises (@p543 @p528)) % 69.30/69.51 (step @p545 :rule refl :args (@t104)) % 69.30/69.51 (step @p546 :rule bool-double-not-elim :args (@t744)) % 69.30/69.51 (step @p547 :rule nary_cong :premises (@p546 @p545) :args ((or @t754 @t104))) % 69.30/69.51 (step @p548 :rule bool-impl-elim :args (@t753 @t104)) % 69.30/69.51 (step @p549 :rule trans :premises (@p548 @p547)) % 69.30/69.51 (step @p550 :rule trans :premises (@p549 @p544)) % 69.30/69.51 (step @p551 :rule refl :args (@t745)) % 69.30/69.51 (step @p552 :rule nary_cong :premises (@p551 @p550) :args ((or @t745 @t755))) % 69.30/69.51 (step @p553 :rule trans :premises (@p552 @p527)) % 69.30/69.51 (step @p554 :rule refl :args (@t755)) % 69.30/69.51 (step @p555 :rule bool-double-not-elim :args (@t745)) % 69.30/69.51 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or @t757 @t755))) % 69.30/69.51 (step @p557 :rule bool-impl-elim :args (@t756 @t755)) % 69.30/69.51 (step @p558 :rule trans :premises (@p557 @p556)) % 69.30/69.51 (step @p559 :rule trans :premises (@p558 @p553)) % 69.30/69.51 (step @p560 :rule refl :args (@t746)) % 69.30/69.51 (step @p561 :rule nary_cong :premises (@p560 @p559) :args ((or @t746 @t758))) % 69.30/69.51 (step @p562 :rule trans :premises (@p561 @p526)) % 69.30/69.51 (step @p563 :rule refl :args (@t758)) % 69.30/69.51 (step @p564 :rule bool-double-not-elim :args (@t746)) % 69.30/69.51 (step @p565 :rule nary_cong :premises (@p564 @p563) :args ((or @t760 @t758))) % 69.30/69.51 (step @p566 :rule bool-impl-elim :args (@t759 @t758)) % 69.30/69.51 (step @p567 :rule trans :premises (@p566 @p565)) % 69.30/69.51 (step @p568 :rule trans :premises (@p567 @p562)) % 69.30/69.51 (step @p569 :rule refl :args (@t713)) % 69.30/69.51 (step @p570 :rule nary_cong :premises (@p569 @p568) :args ((or @t713 @t761))) % 69.30/69.51 (step @p571 :rule trans :premises (@p570 @p525)) % 69.30/69.51 (step @p572 :rule refl :args (@t761)) % 69.30/69.51 (step @p573 :rule bool-double-not-elim :args (@t713)) % 69.30/69.51 (step @p574 :rule nary_cong :premises (@p573 @p572) :args ((or @t763 @t761))) % 69.30/69.51 (step @p575 :rule bool-impl-elim :args (@t762 @t761)) % 69.30/69.51 (step @p576 :rule trans :premises (@p575 @p574)) % 69.30/69.51 (step @p577 :rule trans :premises (@p576 @p571)) % 69.30/69.51 (step @p578 :rule cong :premises (@p577) :args ((forall @t114 (=> @t762 @t761)))) % 69.30/69.51 (step @p579 :rule refl :args (@t104)) % 69.30/69.51 (step @p580 :rule eq-symm :args (@t93 @t89)) % 69.30/69.51 (step @p581 :rule cong :premises (@p580) :args (@t105)) % 69.30/69.51 (step @p582 :rule cong :premises (@p581 @p579) :args (@t106)) % 69.30/69.51 (step @p583 :rule eq-symm :args (@t94 @t88)) % 69.30/69.51 (step @p584 :rule cong :premises (@p583) :args (@t107)) % 69.30/69.51 (step @p585 :rule cong :premises (@p584 @p582) :args (@t108)) % 69.30/69.51 (step @p586 :rule eq-symm :args (@t89 @t88)) % 69.30/69.51 (step @p587 :rule cong :premises (@p586) :args (@t109)) % 69.30/69.51 (step @p588 :rule cong :premises (@p587 @p585) :args (@t110)) % 69.30/69.51 (step @p589 :rule eq-symm :args (@t94 @t93)) % 69.30/69.51 (step @p590 :rule cong :premises (@p589) :args (@t112)) % 69.30/69.51 (step @p591 :rule cong :premises (@p590 @p588) :args (@t113)) % 69.30/69.51 (step @p592 :rule cong :premises (@p591) :args (@t115)) % 69.30/69.51 (step @p593 :rule trans :premises (@p592 @p578)) % 69.30/69.51 (step @p594 :rule eq_resolve :premises (@p18 @p593)) % 69.30/69.51 (step @p595 :rule refl :args (@t739)) % 69.30/69.51 (step @p596 :rule refl :args (@t765)) % 69.30/69.51 (step @p597 :rule refl :args (@t766)) % 69.30/69.51 (step @p598 :rule refl :args (@t767)) % 69.30/69.51 (step @p599 :rule refl :args (@t10)) % 69.30/69.51 (step @p600 :rule eq-symm :args (tptp.v_c____ tptp.v_a____)) % 69.30/69.51 (step @p601 :rule eq-symm :args (tptp.v_c____ tptp.v_b____)) % 69.30/69.51 (step @p602 :rule nary_cong :premises (@p600 @p601 @p600 @p599 @p598 @p597 @p596 @p595) :args (@t770)) % 69.30/69.51 (step @p603 :rule refl :args (@t771)) % 69.30/69.51 (step @p604 :rule cong :premises (@p603 @p602) :args ((=> @t771 @t770))) % 69.30/69.51 (assume-push @p892 @t771) % 69.30/69.51 (step @p606 :rule instantiate :premises (@p594) :args (@t772)) % 69.30/69.51 (step-pop @p893 :rule scope :premises (@p606)) % 69.30/69.51 (step @p607 :rule process_scope :premises (@p893) :args (@t770)) % 69.30/69.51 (step @p609 :rule eq_resolve :premises (@p607 @p604)) % 69.30/69.51 (step @p610 :rule implies_elim :premises (@p609)) % 69.30/69.51 (step @p611 :rule chain_m_resolution :premises (@p610 @p594) :args (@t773 @t774 (@list @t771))) % 69.30/69.51 (step @p612 :rule cnf_equiv_neg2 :args (@t780)) % 69.30/69.51 (step @p613 :rule instantiate :premises (@p517) :args ((@list @t775 tptp.v_b____ @t32 @t26 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 69.30/69.51 (step @p614 :rule instantiate :premises (@p517) :args ((@list @t775 tptp.v_c____ @t30 @t27 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 69.30/69.51 (step @p615 :rule instantiate :premises (@p516) :args ((@list @t775 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_Obelow tptp.tc_Arrow__Order__Mirabelle_Oindi @t28 @t26))) % 69.30/69.51 (assume-push @p894 @t779) % 69.30/69.51 (assume-push @p895 @t782) % 69.30/69.51 (assume-push @p896 @t784) % 69.30/69.51 (assume-push @p897 @t786) % 69.30/69.51 (assume-push @p898 @t779) % 69.30/69.51 (assume-push @p899 @t782) % 69.30/69.51 (assume-push @p900 @t784) % 69.30/69.51 (assume-push @p901 @t786) % 69.30/69.51 (step @p624 :rule true_intro :premises (@p894)) % 69.30/69.51 (step @p625 :rule symm :premises (@p613)) % 69.30/69.51 (step @p626 :rule refl :args (tptp.v_b____)) % 69.30/69.51 (step @p627 :rule symm :premises (@p614)) % 69.30/69.51 (step @p628 :rule refl :args (tptp.v_c____)) % 69.30/69.51 (step @p629 :rule symm :premises (@p615)) % 69.30/69.51 (step @p630 :rule cong :premises (@p629 @p628) :args (@t787)) % 69.30/69.51 (step @p631 :rule trans :premises (@p630 @p627)) % 69.30/69.51 (step @p632 :rule cong :premises (@p631 @p626) :args (@t788)) % 69.30/69.51 (step @p633 :rule trans :premises (@p632 @p625)) % 69.30/69.51 (step @p634 :rule refl :args (@t21)) % 69.30/69.51 (step @p635 :rule cong :premises (@p634 @p633) :args (@t789)) % 69.30/69.51 (step @p636 :rule cong :premises (@p635) :args (@t790)) % 69.30/69.51 (step @p637 :rule trans :premises (@p636 @p624)) % 69.30/69.51 (step @p638 :rule true_elim :premises (@p637)) % 69.30/69.51 (step-pop @p902 :rule scope :premises (@p638)) % 69.30/69.51 (step-pop @p903 :rule scope :premises (@p902)) % 69.30/69.51 (step-pop @p904 :rule scope :premises (@p903)) % 69.30/69.51 (step-pop @p905 :rule scope :premises (@p904)) % 69.30/69.51 (step @p639 :rule process_scope :premises (@p905) :args (@t790)) % 69.30/69.51 (step @p644 :rule and_intro :premises (@p894 @p613 @p614 @p615)) % 69.30/69.51 (step @p645 :rule modus_ponens :premises (@p644 @p639)) % 69.30/69.51 (step-pop @p906 :rule scope :premises (@p645)) % 69.30/69.51 (step-pop @p907 :rule scope :premises (@p906)) % 69.30/69.51 (step-pop @p908 :rule scope :premises (@p907)) % 69.30/69.51 (step-pop @p909 :rule scope :premises (@p908)) % 69.30/69.51 (step @p646 :rule process_scope :premises (@p909) :args (@t790)) % 69.30/69.51 (step @p651 :rule implies_elim :premises (@p646)) % 69.30/69.51 (step @p652 :rule cnf_and_neg :args (@t791)) % 69.30/69.51 (step @p653 :rule resolution :premises (@p652 @p651) :args (true @t791)) % 69.30/69.51 (step @p654 :rule instantiate :premises (@p517) :args ((@list @t775 tptp.v_a____ @t37 @t26 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 69.30/69.51 (step @p655 :rule instantiate :premises (@p517) :args ((@list @t775 tptp.v_b____ @t36 @t27 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 69.30/69.51 (step @p656 :rule instantiate :premises (@p516) :args ((@list @t775 @t34 tptp.c_Arrow__Order__Mirabelle_Obelow tptp.tc_Arrow__Order__Mirabelle_Oindi @t28 @t26))) % 69.30/69.51 (step @p657 :rule refl :args (@t797)) % 69.30/69.51 (step @p658 :rule refl :args (@t798)) % 69.30/69.51 (step @p659 :rule refl :args (@t801)) % 69.30/69.51 (step @p660 :rule refl :args (@t804)) % 69.30/69.51 (step @p661 :rule refl :args (@t805)) % 69.30/69.51 (step @p662 :rule refl :args (@t806)) % 69.30/69.51 (step @p663 :rule refl :args (@t808)) % 69.30/69.51 (step @p664 :rule bool-double-not-elim :args (@t777)) % 69.30/69.51 (step @p665 :rule nary_cong :premises (@p664 @p663 @p662 @p661 @p660 @p659 @p658 @p657) :args ((or (not @t809) @t808 @t806 @t805 @t804 @t801 @t798 @t797))) % 69.30/69.51 (assume-push @p910 @t809) % 69.30/69.51 (assume-push @p911 @t807) % 69.30/69.51 (assume-push @p912 @t782) % 69.30/69.51 (assume-push @p913 @t784) % 69.30/69.51 (assume-push @p914 @t803) % 69.30/69.51 (assume-push @p915 @t800) % 69.30/69.51 (assume-push @p916 @t786) % 69.30/69.51 (assume-push @p917 @t809) % 69.30/69.51 (assume-push @p918 @t807) % 69.30/69.51 (assume-push @p919 @t803) % 69.30/69.51 (assume-push @p920 @t800) % 69.30/69.51 (assume-push @p921 @t782) % 69.30/69.51 (assume-push @p922 @t784) % 69.30/69.51 (assume-push @p923 @t786) % 69.30/69.51 (step @p680 :rule false_intro :premises (@p910)) % 69.30/69.51 (step @p681 :rule symm :premises (@p654)) % 69.30/69.51 (step @p682 :rule refl :args (tptp.v_a____)) % 69.30/69.51 (step @p683 :rule symm :premises (@p655)) % 69.30/69.51 (step @p626 :rule refl :args (tptp.v_b____)) % 69.30/69.51 (step @p684 :rule symm :premises (@p656)) % 69.30/69.51 (step @p625 :rule symm :premises (@p613)) % 69.30/69.51 (step @p627 :rule symm :premises (@p614)) % 69.30/69.51 (step @p628 :rule refl :args (tptp.v_c____)) % 69.30/69.51 (step @p629 :rule symm :premises (@p615)) % 69.30/69.51 (step @p630 :rule cong :premises (@p629 @p628) :args (@t787)) % 69.30/69.51 (step @p631 :rule trans :premises (@p630 @p627)) % 69.30/69.51 (step @p632 :rule cong :premises (@p631 @p626) :args (@t788)) % 69.30/69.51 (step @p633 :rule trans :premises (@p632 @p625)) % 69.30/69.51 (step @p685 :rule refl :args (tptp.c_Arrow__Order__Mirabelle_Obelow)) % 69.30/69.51 (step @p686 :rule cong :premises (@p685 @p633) :args (@t792)) % 69.30/69.51 (step @p687 :rule trans :premises (@p686 @p684)) % 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69.30/69.51 (step @p803 :rule implies_elim :premises (@p801)) % 69.30/69.51 (step @p804 :rule eq_resolve :premises (@p803 @p798)) % 69.30/69.51 (step @p805 :rule chain_m_resolution :premises (@p804 @p795) :args (@t764 @t774 (@list @t780))) % 69.30/69.51 (step @p806 :rule and_elim :premises (@p5) :args (2)) % 69.30/69.51 (step @p807 :rule and_elim :premises (@p5) :args (1)) % 69.30/69.51 (step @p808 :rule cnf_or_pos :args (@t773)) % 69.30/69.51 (step @p809 :rule factoring :premises (@p808)) % 69.30/69.51 (step @p810 :rule reordering :premises (@p809) :args ((or @t11 @t10 @t739 @t766 @t767 @t765 (not @t773)))) % 69.30/69.51 (step @p811 :rule chain_m_resolution :premises (@p810 @p807 @p806 @p10 @p16 @p805 @p611) :args (@t739 (@list true true false false false false) (@list @t11 @t10 @t41 @t83 @t764 @t773))) % 69.30/69.51 (step @p812 :rule not_equiv_elim2 :premises (@p523)) % 69.30/69.51 (step @p813 :rule aci_norm :args ((= (or @t713 @t820) @t819))) % 69.30/69.51 (step @p814 :rule aci_norm 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(step @p856 :rule trans :premises (@p855 @p813)) % 69.30/69.51 (step @p857 :rule refl :args (@t828)) % 69.30/69.51 (step @p858 :rule nary_cong :premises (@p573 @p857) :args ((or @t763 @t828))) % 69.30/69.51 (step @p859 :rule bool-impl-elim :args (@t762 @t828)) % 69.30/69.51 (step @p860 :rule trans :premises (@p859 @p858)) % 69.30/69.51 (step @p861 :rule trans :premises (@p860 @p856)) % 69.30/69.51 (step @p862 :rule cong :premises (@p861) :args ((forall @t114 (=> @t762 @t828)))) % 69.30/69.51 (step @p863 :rule refl :args (@t153)) % 69.30/69.51 (step @p864 :rule cong :premises (@p581 @p863) :args (@t154)) % 69.30/69.51 (step @p865 :rule cong :premises (@p584 @p864) :args (@t155)) % 69.30/69.51 (step @p866 :rule cong :premises (@p587 @p865) :args (@t156)) % 69.30/69.51 (step @p867 :rule cong :premises (@p590 @p866) :args (@t157)) % 69.30/69.51 (step @p868 :rule cong :premises (@p867) :args (@t158)) % 69.30/69.51 (step @p869 :rule trans :premises (@p868 @p862)) % 69.30/69.51 (step @p870 :rule eq_resolve :premises (@p29 @p869)) % 69.30/69.51 (step @p871 :rule refl :args (@t738)) % 69.30/69.51 (step @p872 :rule refl :args (@t829)) % 69.30/69.51 (step @p873 :rule nary_cong :premises (@p600 @p601 @p600 @p599 @p598 @p597 @p596 @p872 @p871) :args (@t830)) % 69.30/69.51 (step @p874 :rule refl :args (@t831)) % 69.30/69.51 (step @p875 :rule cong :premises (@p874 @p873) :args ((=> @t831 @t830))) % 69.30/69.51 (assume-push @p984 @t831) % 69.30/69.51 (step @p877 :rule instantiate :premises (@p870) :args (@t772)) % 69.30/69.51 (step-pop @p985 :rule scope :premises (@p877)) % 69.30/69.51 (step @p878 :rule process_scope :premises (@p985) :args (@t830)) % 69.30/69.51 (step @p880 :rule eq_resolve :premises (@p878 @p875)) % 69.30/69.51 (step @p881 :rule implies_elim :premises (@p880)) % 69.30/69.51 (step @p882 :rule chain_m_resolution :premises (@p881 @p870) :args (@t832 @t774 (@list @t831))) % 69.30/69.51 (step @p883 :rule cnf_or_pos :args (@t832)) % 69.30/69.51 (step @p884 :rule factoring :premises (@p883)) % 69.30/69.51 (step @p885 :rule reordering :premises (@p884) :args ((or @t11 @t10 @t738 @t829 @t766 @t767 @t765 (not @t832)))) % 69.30/69.51 (step @p886 :rule chain_m_resolution :premises (@p885 @p882 @p805 @p16 @p10 @p806 @p807 @p812) :args (@t829 (@list false false false false true true true) (@list @t832 @t764 @t83 @t41 @t10 @t11 @t738))) % 69.30/69.51 (step @p887 :rule not_equiv_elim1 :premises (@p523)) % 69.30/69.51 (step @p888 :rule chain_m_resolution :premises (@p887 @p886) :args (@t738 (@list true) (@list @t35))) % 69.30/69.51 (step @p889 :rule cnf_equiv_pos2 :args (@t739)) % 69.30/69.51 (step @p890 :rule reordering :premises (@p889) :args ((or @t35 @t740 (not @t738)))) % 69.30/69.51 (step @p891 false :rule chain_m_resolution :premises (@p890 @p888 @p886 @p811) :args (false (@list false true false) (@list @t738 @t35 @t739))) % 69.30/69.51 ) % 69.30/69.51 % SZS output end Proof % 69.30/69.51 % cvc5 exiting %------------------------------------------------------------------------------