%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT147+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:22 AM UTC 2026 % Result : Theorem 0.83s 1.08s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT147+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:30:26 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.64 %----Proving TF0_NAR, FOF, or CNF % 0.83/1.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.83/1.08 % SZS status Theorem % 0.83/1.08 % SZS output start Proof % 0.83/1.08 ( % 0.83/1.08 (declare-sort $$unsorted 0) % 0.83/1.08 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_FunDef_Oreduction__pair (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_FunDef_Omax__strict $$unsorted) % 0.83/1.08 (declare-const tptp.c_FunDef_Omin__strict $$unsorted) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Omin__ext (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_FunDef_Omax__weak $$unsorted) % 0.83/1.08 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_FunDef_Opair__less $$unsorted) % 0.83/1.08 (declare-const tptp.c_FunDef_Opair__leq $$unsorted) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Oless__than $$unsorted) % 0.83/1.08 (declare-const tptp.c_Fun_Ooverride__on (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Nitpick_Owfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Omeasure (-> $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_FunDef_Omin__weak $$unsorted) % 0.83/1.08 (declare-const tptp.v_F $$unsorted) % 0.83/1.08 (declare-const tptp.c_Recdef_Owfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_FuncSet_Oextensional__funcset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Relation_Oantisym (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_fconj $$unsorted) % 0.83/1.08 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.83/1.08 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.v_b____ $$unsorted) % 0.83/1.08 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Product__Type_Oprod_Oprod__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 0.83/1.08 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.83/1.08 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.v_a____ $$unsorted) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.v_P____ $$unsorted) % 0.83/1.08 (declare-const tptp.c_fNot $$unsorted) % 0.83/1.08 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_fequal $$unsorted) % 0.83/1.08 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Owf (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Opred__nat $$unsorted) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow $$unsorted) % 0.83/1.08 (declare-const tptp.c_fFalse $$unsorted) % 0.83/1.08 (declare-const tptp.v_P_H____ $$unsorted) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_FunDef_Orp__inv__image (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Transitive__Closure_Otranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Recdef_Oadm__wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.08 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.83/1.08 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.v_c____ $$unsorted) % 0.83/1.08 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.08 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.83/1.08 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.83/1.08 (define @t3 () (= @t2 @t1)) % 0.83/1.08 (define @t4 () (@var "B_x" $$unsorted)) % 0.83/1.08 (define @t5 () (tptp.hAPP @t1 @t4)) % 0.83/1.08 (define @t6 () (tptp.hAPP @t2 @t4)) % 0.83/1.08 (define @t7 () (= @t6 @t5)) % 0.83/1.08 (define @t8 () (@list @t4)) % 0.83/1.08 (define @t9 () (@var "B_i" $$unsorted)) % 0.83/1.08 (define @t10 () (tptp.hAPP tptp.v_P____ @t9)) % 0.83/1.08 (define @t11 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.83/1.08 (define @t12 () (tptp.hAPP @t11 tptp.v_a____)) % 0.83/1.08 (define @t13 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.83/1.08 (define @t14 () (tptp.c_member @t13)) % 0.83/1.08 (define @t15 () (tptp.hAPP @t14 (tptp.hAPP @t12 tptp.v_b____))) % 0.83/1.08 (define @t16 () (tptp.hBOOL (tptp.hAPP @t15 @t10))) % 0.83/1.08 (define @t17 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t10) tptp.v_c____) tptp.v_b____)) % 0.83/1.08 (define @t18 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t17) tptp.v_b____) tptp.v_a____)) % 0.83/1.08 (define @t19 () (tptp.hAPP @t11 tptp.v_b____)) % 0.83/1.08 (define @t20 () (tptp.hAPP @t14 (tptp.hAPP @t19 tptp.v_a____))) % 0.83/1.08 (define @t21 () (tptp.hBOOL (tptp.hAPP @t20 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t18) tptp.v_a____) tptp.v_c____)))) % 0.83/1.08 (define @t22 () (@list @t9)) % 0.83/1.08 (define @t23 () (tptp.hBOOL (tptp.hAPP @t20 (tptp.hAPP tptp.v_P_H____ @t9)))) % 0.83/1.08 (define @t24 () (forall @t22 (= @t16 @t23))) % 0.83/1.08 (define @t25 () (tptp.hAPP @t14 (tptp.hAPP @t12 tptp.v_c____))) % 0.83/1.08 (define @t26 () (tptp.hBOOL (tptp.hAPP @t25 @t17))) % 0.83/1.08 (define @t27 () (tptp.hAPP @t14 (tptp.hAPP @t19 tptp.v_c____))) % 0.83/1.08 (define @t28 () (tptp.hBOOL (tptp.hAPP @t27 @t18))) % 0.83/1.08 (define @t29 () (@var "V_B_2" $$unsorted)) % 0.83/1.08 (define @t30 () (@var "V_ca_2" $$unsorted)) % 0.83/1.08 (define @t31 () (@var "T_a" $$unsorted)) % 0.83/1.08 (define @t32 () (tptp.c_member @t31)) % 0.83/1.08 (define @t33 () (tptp.hAPP @t32 @t30)) % 0.83/1.08 (define @t34 () (tptp.hBOOL (tptp.hAPP @t33 @t29))) % 0.83/1.08 (define @t35 () (@var "V_A_2" $$unsorted)) % 0.83/1.08 (define @t36 () (tptp.hBOOL (tptp.hAPP @t33 @t35))) % 0.83/1.08 (define @t37 () (=> @t36 (not @t34))) % 0.83/1.08 (define @t38 () (= @t35 @t29)) % 0.83/1.08 (define @t39 () (@var "V_L_2" $$unsorted)) % 0.83/1.08 (define @t40 () (@var "V_y_2" $$unsorted)) % 0.83/1.08 (define @t41 () (@var "V_x_2" $$unsorted)) % 0.83/1.08 (define @t42 () (tptp.hAPP @t11 @t41)) % 0.83/1.08 (define @t43 () (tptp.hAPP @t14 (tptp.hAPP @t42 @t40))) % 0.83/1.08 (define @t44 () (tptp.hBOOL (tptp.hAPP @t43 @t39))) % 0.83/1.08 (define @t45 () (@var "V_z_2" $$unsorted)) % 0.83/1.08 (define @t46 () (= @t41 @t45)) % 0.83/1.08 (define @t47 () (not @t46)) % 0.83/1.08 (define @t48 () (= @t41 @t40)) % 0.83/1.08 (define @t49 () (not @t48)) % 0.83/1.08 (define @t50 () (= @t40 @t45)) % 0.83/1.08 (define @t51 () (not @t50)) % 0.83/1.08 (define @t52 () (@list @t45 @t39 @t40 @t41)) % 0.83/1.08 (define @t53 () (tptp.tc_fun @t13 tptp.tc_HOL_Obool)) % 0.83/1.08 (define @t54 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t53)) % 0.83/1.08 (define @t55 () (tptp.c_member @t54)) % 0.83/1.08 (define @t56 () (@var "V_R_2" $$unsorted)) % 0.83/1.08 (define @t57 () (@var "T_b" $$unsorted)) % 0.83/1.08 (define @t58 () (tptp.c_Product__Type_OPair @t31 @t57)) % 0.83/1.08 (define @t59 () (tptp.hAPP @t58 @t41)) % 0.83/1.08 (define @t60 () (tptp.hAPP @t59 @t40)) % 0.83/1.09 (define @t61 () (tptp.tc_prod @t31 @t57)) % 0.83/1.09 (define @t62 () (tptp.c_member @t61)) % 0.83/1.09 (define @t63 () (tptp.hAPP @t62 @t60)) % 0.83/1.09 (define @t64 () (@var "V_Pa_2" $$unsorted)) % 0.83/1.09 (define @t65 () (tptp.c_Recdef_Osame__fst @t31 @t57 @t64 @t56)) % 0.83/1.09 (define @t66 () (@var "V_y_H_2" $$unsorted)) % 0.83/1.09 (define @t67 () (tptp.c_Product__Type_OPair @t61 @t61)) % 0.83/1.09 (define @t68 () (tptp.c_member (tptp.tc_prod @t61 @t61))) % 0.83/1.09 (define @t69 () (tptp.c_Product__Type_OPair @t57 @t57)) % 0.83/1.09 (define @t70 () (tptp.tc_prod @t57 @t57)) % 0.83/1.09 (define @t71 () (tptp.c_member @t70)) % 0.83/1.09 (define @t72 () (tptp.hAPP @t64 @t41)) % 0.83/1.09 (define @t73 () (tptp.hBOOL @t72)) % 0.83/1.09 (define @t74 () (@var "V_r_2" $$unsorted)) % 0.83/1.09 (define @t75 () (tptp.c_Product__Type_OPair @t31 @t31)) % 0.83/1.09 (define @t76 () (tptp.hAPP @t75 @t4)) % 0.83/1.09 (define @t77 () (tptp.hAPP @t76 @t4)) % 0.83/1.09 (define @t78 () (tptp.tc_prod @t31 @t31)) % 0.83/1.09 (define @t79 () (tptp.c_member @t78)) % 0.83/1.09 (define @t80 () (tptp.hAPP @t79 @t77)) % 0.83/1.09 (define @t81 () (tptp.hBOOL (tptp.hAPP @t80 @t74))) % 0.83/1.09 (define @t82 () (@list @t74 @t31)) % 0.83/1.09 (define @t83 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t53)) % 0.83/1.09 (define @t84 () (tptp.hAPP (tptp.c_COMBB @t53 (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t83) tptp.tc_Arrow__Order__Mirabelle_Oindi) tptp.c_Arrow__Order__Mirabelle_Obelow)) % 0.83/1.09 (define @t85 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t83)) % 0.83/1.09 (define @t86 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t53)) % 0.83/1.09 (define @t87 () (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t85 (tptp.hAPP @t84 tptp.v_P____)) tptp.v_c____)) tptp.v_b____)) % 0.83/1.09 (define @t88 () (tptp.hBOOL (tptp.hAPP @t25 (tptp.hAPP tptp.v_F @t87)))) % 0.83/1.09 (define @t89 () (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t85 (tptp.hAPP @t84 @t87)) tptp.v_b____)) tptp.v_a____)) % 0.83/1.09 (define @t90 () (tptp.hBOOL (tptp.hAPP @t27 (tptp.hAPP tptp.v_F @t89)))) % 0.83/1.09 (define @t91 () (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t85 (tptp.hAPP @t84 @t89)) tptp.v_a____)) tptp.v_c____)) % 0.83/1.09 (define @t92 () (@var "B_b" $$unsorted)) % 0.83/1.09 (define @t93 () (@var "B_a" $$unsorted)) % 0.83/1.09 (define @t94 () (tptp.hAPP (tptp.hAPP @t58 @t93) @t92)) % 0.83/1.09 (define @t95 () (@list @t93 @t92)) % 0.83/1.09 (define @t96 () (@var "B_x1" $$unsorted)) % 0.83/1.09 (define @t97 () (@list @t96)) % 0.83/1.09 (define @t98 () (@var "V_aa_2" $$unsorted)) % 0.83/1.09 (define @t99 () (tptp.hAPP @t32 @t98)) % 0.83/1.09 (define @t100 () (tptp.hBOOL (tptp.hAPP @t99 @t35))) % 0.83/1.09 (define @t101 () (@var "V_ba_2" $$unsorted)) % 0.83/1.09 (define @t102 () (tptp.hAPP @t32 @t101)) % 0.83/1.09 (define @t103 () (= @t98 @t101)) % 0.83/1.09 (define @t104 () (@list @t35 @t31 @t101 @t98)) % 0.83/1.09 (define @t105 () (tptp.hAPP @t32 @t40)) % 0.83/1.09 (define @t106 () (tptp.hBOOL (tptp.hAPP @t105 @t35))) % 0.83/1.09 (define @t107 () (tptp.hAPP @t32 @t41)) % 0.83/1.09 (define @t108 () (tptp.hBOOL (tptp.hAPP @t107 @t35))) % 0.83/1.09 (define @t109 () (tptp.hBOOL (tptp.hAPP @t107 @t29))) % 0.83/1.09 (define @t110 () (tptp.hAPP @t35 @t41)) % 0.83/1.09 (define @t111 () (tptp.hBOOL @t110)) % 0.83/1.09 (define @t112 () (@list @t35 @t41 @t31)) % 0.83/1.09 (define @t113 () (@var "V_b_H" $$unsorted)) % 0.83/1.09 (define @t114 () (@var "V_b" $$unsorted)) % 0.83/1.09 (define @t115 () (@var "V_a_H" $$unsorted)) % 0.83/1.09 (define @t116 () (@var "V_a" $$unsorted)) % 0.83/1.09 (define @t117 () (@var "V_b_H_2" $$unsorted)) % 0.83/1.09 (define @t118 () (@var "V_a_H_2" $$unsorted)) % 0.83/1.09 (define @t119 () (= @t98 @t118)) % 0.83/1.09 (define @t120 () (tptp.hAPP (tptp.hAPP @t58 @t118) @t117)) % 0.83/1.09 (define @t121 () (tptp.hAPP @t58 @t98)) % 0.83/1.09 (define @t122 () (tptp.hAPP @t121 @t101)) % 0.83/1.09 (define @t123 () (@var "V_P_Ha_2" $$unsorted)) % 0.83/1.09 (define @t124 () (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t11 @t118) @t117))) % 0.83/1.09 (define @t125 () (tptp.hBOOL (tptp.hAPP @t124 (tptp.hAPP tptp.v_F @t123)))) % 0.83/1.09 (define @t126 () (tptp.hAPP @t11 @t98)) % 0.83/1.09 (define @t127 () (tptp.hAPP @t14 (tptp.hAPP @t126 @t101))) % 0.83/1.09 (define @t128 () (tptp.hBOOL (tptp.hAPP @t127 (tptp.hAPP tptp.v_F @t64)))) % 0.83/1.09 (define @t129 () (forall @t22 (= (tptp.hBOOL (tptp.hAPP @t127 (tptp.hAPP @t64 @t9))) (tptp.hBOOL (tptp.hAPP @t124 (tptp.hAPP @t123 @t9)))))) % 0.83/1.09 (define @t130 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t123) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (define @t131 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t64) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (define @t132 () (not (= @t101 @t118))) % 0.83/1.09 (define @t133 () (not (= @t98 @t117))) % 0.83/1.09 (define @t134 () (not (= @t118 @t117))) % 0.83/1.09 (define @t135 () (not @t103)) % 0.83/1.09 (define @t136 () (@list @t123 @t64 @t117 @t118 @t101 @t98)) % 0.83/1.09 (define @t137 () (@var "V_S_2" $$unsorted)) % 0.83/1.09 (define @t138 () (= @t56 @t137)) % 0.83/1.09 (define @t139 () (tptp.tc_fun @t61 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t140 () (tptp.tc_fun @t139 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t141 () (tptp.tc_fun @t57 @t140)) % 0.83/1.09 (define @t142 () (tptp.tc_fun @t57 @t61)) % 0.83/1.09 (define @t143 () (tptp.tc_fun @t57 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t144 () (tptp.hAPP (tptp.c_COMBC @t31 @t139 @t143) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t141 (tptp.tc_fun @t139 @t143) @t31) (tptp.c_COMBC @t57 @t139 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t142 @t141 @t31) (tptp.hAPP (tptp.c_COMBB @t61 @t140 @t57) @t62)) @t58)))) % 0.83/1.09 (define @t145 () (tptp.hAPP @t144 @t137)) % 0.83/1.09 (define @t146 () (tptp.hAPP @t144 @t56)) % 0.83/1.09 (define @t147 () (@list @t137 @t56 @t57 @t31)) % 0.83/1.09 (define @t148 () (@var "V_f1_2" $$unsorted)) % 0.83/1.09 (define @t149 () (tptp.hAPP (tptp.hAPP @t148 @t98) @t101)) % 0.83/1.09 (define @t150 () (@var "T_c" $$unsorted)) % 0.83/1.09 (define @t151 () (tptp.c_Product__Type_OPair @t57 @t150)) % 0.83/1.09 (define @t152 () (tptp.hAPP (tptp.hAPP @t151 @t98) @t101)) % 0.83/1.09 (define @t153 () (@list @t101 @t98 @t148 @t31 @t150 @t57)) % 0.83/1.09 (define @t154 () (tptp.c_FuncSet_OPi @t54 @t53 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun @t53 tptp.tc_HOL_Obool) @t54 tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.83/1.09 (define @t155 () (tptp.c_member (tptp.tc_fun @t54 @t53))) % 0.83/1.09 (define @t156 () (@var "V_s_2" $$unsorted)) % 0.83/1.09 (define @t157 () (tptp.hAPP @t75 @t98)) % 0.83/1.09 (define @t158 () (@var "V_i_2" $$unsorted)) % 0.83/1.09 (define @t159 () (tptp.hAPP @t4 @t158)) % 0.83/1.09 (define @t160 () (@var "V_Fa_2" $$unsorted)) % 0.83/1.09 (define @t161 () (tptp.hAPP @t160 @t4)) % 0.83/1.09 (define @t162 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t4) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (define @t163 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t160 @t158)) % 0.83/1.09 (define @t164 () (@list @t158 @t160)) % 0.83/1.09 (define @t165 () (= @t41 @t98)) % 0.83/1.09 (define @t166 () (not @t165)) % 0.83/1.09 (define @t167 () (tptp.hAPP @t11 @t101)) % 0.83/1.09 (define @t168 () (= @t40 @t101)) % 0.83/1.09 (define @t169 () (= @t40 @t98)) % 0.83/1.09 (define @t170 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t39)) % 0.83/1.09 (define @t171 () (tptp.c_member @t53)) % 0.83/1.09 (define @t172 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t39) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.83/1.09 (define @t173 () (@list @t40 @t41 @t39 @t101 @t98)) % 0.83/1.09 (define @t174 () (tptp.tc_fun @t31 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t175 () (tptp.hAPP (tptp.c_COMBC @t31 @t174 tptp.tc_HOL_Obool) @t32)) % 0.83/1.09 (define @t176 () (tptp.hAPP @t175 @t137)) % 0.83/1.09 (define @t177 () (tptp.hAPP @t175 @t56)) % 0.83/1.09 (define @t178 () (@list @t137 @t56 @t31)) % 0.83/1.09 (define @t179 () (@list @t39 @t40 @t41)) % 0.83/1.09 (define @t180 () (@list @t41 @t39)) % 0.83/1.09 (define @t181 () (@list @t40 @t41 @t31)) % 0.83/1.09 (define @t182 () (not @t108)) % 0.83/1.09 (define @t183 () (tptp.hAPP @t29 @t41)) % 0.83/1.09 (define @t184 () (tptp.hAPP @t2 @t41)) % 0.83/1.09 (define @t185 () (tptp.c_member @t57)) % 0.83/1.09 (define @t186 () (tptp.hAPP @t185 @t184)) % 0.83/1.09 (define @t187 () (tptp.hBOOL (tptp.hAPP @t186 @t183))) % 0.83/1.09 (define @t188 () (tptp.c_FuncSet_OPi @t31 @t57 @t35 @t29)) % 0.83/1.09 (define @t189 () (tptp.tc_fun @t31 @t57)) % 0.83/1.09 (define @t190 () (tptp.c_member @t189)) % 0.83/1.09 (define @t191 () (tptp.hAPP @t190 @t2)) % 0.83/1.09 (define @t192 () (tptp.hBOOL (tptp.hAPP @t191 @t188))) % 0.83/1.09 (define @t193 () (@list @t41 @t29 @t35 @t2 @t57 @t31)) % 0.83/1.09 (define @t194 () (= @t41 @t101)) % 0.83/1.09 (define @t195 () (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t11 @t93) @t92))) % 0.83/1.09 (define @t196 () (tptp.hBOOL (tptp.hAPP @t195 @t161))) % 0.83/1.09 (define @t197 () (tptp.c_FuncSet_OPi @t31 @t57 @t35 (tptp.c_COMBK @t143 @t31 @t29))) % 0.83/1.09 (define @t198 () (tptp.hBOOL (tptp.hAPP @t191 @t197))) % 0.83/1.09 (define @t199 () (tptp.c_COMBI @t31)) % 0.83/1.09 (define @t200 () (tptp.tc_fun @t31 @t31)) % 0.83/1.09 (define @t201 () (@list @t35 @t31)) % 0.83/1.09 (define @t202 () (tptp.hBOOL (tptp.hAPP @t195 (tptp.hAPP @t4 @t9)))) % 0.83/1.09 (define @t203 () (@list @t160)) % 0.83/1.09 (define @t204 () (@var "B_xa" $$unsorted)) % 0.83/1.09 (define @t205 () (@list @t204)) % 0.83/1.09 (define @t206 () (tptp.hAPP @t185 @t6)) % 0.83/1.09 (define @t207 () (tptp.hAPP @t32 @t4)) % 0.83/1.09 (define @t208 () (tptp.hBOOL (tptp.hAPP @t207 @t35))) % 0.83/1.09 (define @t209 () (forall @t8 (=> @t208 (tptp.hBOOL (tptp.hAPP @t206 (tptp.hAPP @t29 @t4)))))) % 0.83/1.09 (define @t210 () (@list @t29 @t2 @t57 @t35 @t31)) % 0.83/1.09 (define @t211 () (forall @t8 (=> @t208 (tptp.hBOOL (tptp.hAPP @t206 @t29))))) % 0.83/1.09 (define @t212 () (tptp.hAPP @t190 @t1)) % 0.83/1.09 (define @t213 () (@var "B_w" $$unsorted)) % 0.83/1.09 (define @t214 () (@var "V_C_2" $$unsorted)) % 0.83/1.09 (define @t215 () (tptp.tc_fun @t150 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t216 () (tptp.c_FuncSet_Ocompose @t31 @t57 @t150 @t35 @t1 @t2)) % 0.83/1.09 (define @t217 () (tptp.tc_fun @t57 @t150)) % 0.83/1.09 (define @t218 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t217) @t1) (tptp.c_FuncSet_OPi @t57 @t150 @t29 (tptp.c_COMBK @t215 @t57 @t214))))) % 0.83/1.09 (define @t219 () (@var "V_h_2" $$unsorted)) % 0.83/1.09 (define @t220 () (@var "T_d" $$unsorted)) % 0.83/1.09 (define @t221 () (@var "V_D_2" $$unsorted)) % 0.83/1.09 (define @t222 () (tptp.c_Wellfounded_Oacc @t31 @t74)) % 0.83/1.09 (define @t223 () (tptp.hBOOL (tptp.hAPP @t99 @t222))) % 0.83/1.09 (define @t224 () (tptp.hAPP @t79 (tptp.hAPP @t157 @t101))) % 0.83/1.09 (define @t225 () (tptp.hBOOL (tptp.hAPP @t224 @t74))) % 0.83/1.09 (define @t226 () (tptp.hBOOL (tptp.hAPP @t102 @t222))) % 0.83/1.09 (define @t227 () (tptp.hBOOL (tptp.hAPP @t207 @t222))) % 0.83/1.09 (define @t228 () (@list @t74 @t98 @t31)) % 0.83/1.09 (define @t229 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t31 @t57 tptp.tc_HOL_Obool @t2) @t98) @t101))) % 0.83/1.09 (define @t230 () (tptp.hBOOL (tptp.hAPP @t2 @t122))) % 0.83/1.09 (define @t231 () (tptp.c_FuncSet_Ocompose @t31 @t150 @t57 @t35 @t1 @t2)) % 0.83/1.09 (define @t232 () (@list @t101 @t98 @t2 @t31 @t150 @t57)) % 0.83/1.09 (define @t233 () (tptp.hBOOL (tptp.hAPP @t107 @t222))) % 0.83/1.09 (define @t234 () (tptp.tc_fun @t78 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t235 () (tptp.tc_fun @t234 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t236 () (tptp.tc_fun @t31 @t235)) % 0.83/1.09 (define @t237 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t31 @t234 @t174) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t236 (tptp.tc_fun @t234 @t174) @t31) (tptp.c_COMBC @t31 @t234 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t31 @t78) @t236 @t31) (tptp.hAPP (tptp.c_COMBB @t78 @t235 @t31) @t79)) @t75))) @t74)) % 0.83/1.09 (define @t238 () (@list @t41 @t74 @t31)) % 0.83/1.09 (define @t239 () (@var "B_y" $$unsorted)) % 0.83/1.09 (define @t240 () (tptp.hAPP @t32 @t239)) % 0.83/1.09 (define @t241 () (tptp.hAPP @t75 @t239)) % 0.83/1.09 (define @t242 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t241 @t41)) @t74))) % 0.83/1.09 (define @t243 () (@list @t239)) % 0.83/1.09 (define @t244 () (tptp.c_Wellfounded_Oacc @t31 @t56)) % 0.83/1.09 (define @t245 () (@var "B_z" $$unsorted)) % 0.83/1.09 (define @t246 () (tptp.hAPP @t75 @t245)) % 0.83/1.09 (define @t247 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t246 @t41)) @t56))) % 0.83/1.09 (define @t248 () (@list @t245)) % 0.83/1.09 (define @t249 () (tptp.c_FuncSet_Oextensional @t31 @t57 @t35)) % 0.83/1.09 (define @t250 () (tptp.c_Transitive__Closure_Ortrancl @t31 @t74)) % 0.83/1.09 (define @t251 () (tptp.hAPP @t75 @t101)) % 0.83/1.09 (define @t252 () (tptp.hAPP @t79 (tptp.hAPP @t251 @t98))) % 0.83/1.09 (define @t253 () (tptp.hBOOL (tptp.hAPP @t252 @t250))) % 0.83/1.09 (define @t254 () (@var "B_g" $$unsorted)) % 0.83/1.09 (define @t255 () (tptp.hAPP @t254 @t245)) % 0.83/1.09 (define @t256 () (tptp.c_Recdef_Owfrec__rel @t31 @t57 @t56 @t160 @t245)) % 0.83/1.09 (define @t257 () (@var "V_a1_2" $$unsorted)) % 0.83/1.09 (define @t258 () (forall @t248 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t246 @t257)) @t56)) (tptp.hBOOL (tptp.hAPP @t256 @t255))))) % 0.83/1.09 (define @t259 () (tptp.hAPP @t160 @t254)) % 0.83/1.09 (define @t260 () (tptp.hAPP @t259 @t257)) % 0.83/1.09 (define @t261 () (@var "V_a2_2" $$unsorted)) % 0.83/1.09 (define @t262 () (tptp.hAPP (tptp.hAPP @t160 @t261) @t257)) % 0.83/1.09 (define @t263 () (@list @t254)) % 0.83/1.09 (define @t264 () (tptp.c_Recdef_Owfrec__rel @t31 @t57 @t56 @t160 @t257)) % 0.83/1.09 (define @t265 () (@list @t261 @t257 @t160 @t56 @t57 @t31)) % 0.83/1.09 (define @t266 () (@var "B_f" $$unsorted)) % 0.83/1.09 (define @t267 () (@var "B_R" $$unsorted)) % 0.83/1.09 (define @t268 () (tptp.c_Recdef_Ocut @t31 @t57)) % 0.83/1.09 (define @t269 () (tptp.hAPP @t75 @t41)) % 0.83/1.09 (define @t270 () (tptp.hAPP @t79 (tptp.hAPP @t269 @t98))) % 0.83/1.09 (define @t271 () (tptp.hAPP (tptp.hAPP @t268 @t2) @t74)) % 0.83/1.09 (define @t272 () (tptp.hAPP @t271 @t41)) % 0.83/1.09 (define @t273 () (tptp.c_Wellfounded_Oaccp @t31 @t74)) % 0.83/1.09 (define @t274 () (tptp.hBOOL (tptp.hAPP @t273 @t98))) % 0.83/1.09 (define @t275 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t98) @t101))) % 0.83/1.09 (define @t276 () (tptp.hBOOL (tptp.hAPP @t273 @t101))) % 0.83/1.09 (define @t277 () (@list @t98 @t101 @t74 @t31)) % 0.83/1.09 (define @t278 () (@list @t98 @t74 @t31)) % 0.83/1.09 (define @t279 () (tptp.hAPP @t271 @t98)) % 0.83/1.09 (define @t280 () (tptp.hBOOL (tptp.hAPP @t270 @t74))) % 0.83/1.09 (define @t281 () (tptp.hAPP @t79 (tptp.hAPP @t157 @t98))) % 0.83/1.09 (define @t282 () (@var "V_p_2" $$unsorted)) % 0.83/1.09 (define @t283 () (tptp.hAPP @t79 @t282)) % 0.83/1.09 (define @t284 () (tptp.hBOOL (tptp.hAPP @t283 @t74))) % 0.83/1.09 (define @t285 () (@list @t74 @t282 @t31)) % 0.83/1.09 (define @t286 () (tptp.hAPP @t79 (tptp.hAPP @t157 @t30))) % 0.83/1.09 (define @t287 () (tptp.hBOOL (tptp.hAPP @t286 @t250))) % 0.83/1.09 (define @t288 () (tptp.hAPP @t79 (tptp.hAPP @t251 @t30))) % 0.83/1.09 (define @t289 () (tptp.hBOOL (tptp.hAPP @t288 @t250))) % 0.83/1.09 (define @t290 () (=> @t289 @t287)) % 0.83/1.09 (define @t291 () (tptp.hBOOL (tptp.hAPP @t224 @t250))) % 0.83/1.09 (define @t292 () (@list @t30 @t74 @t101 @t98 @t31)) % 0.83/1.09 (define @t293 () (tptp.hBOOL (tptp.hAPP @t288 @t74))) % 0.83/1.09 (define @t294 () (tptp.c_COMBI @t57)) % 0.83/1.09 (define @t295 () (tptp.hBOOL (tptp.hAPP @t191 @t249))) % 0.83/1.09 (define @t296 () (@list @t29 @t35 @t2 @t57 @t31)) % 0.83/1.09 (define @t297 () (tptp.hBOOL (tptp.hAPP @t212 @t249))) % 0.83/1.09 (define @t298 () (tptp.tc_fun @t31 @t189)) % 0.83/1.09 (define @t299 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t189 @t200 @t189) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t298 (tptp.tc_fun @t200 @t189) @t189) (tptp.c_COMBS @t31 @t31 @t57)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t298 @t298 @t189) (tptp.hAPP (tptp.c_COMBB @t189 @t189 @t31) @t160)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t189 @t234 @t298) @t268) @t56)))) @t199)) % 0.83/1.09 (define @t300 () (@list @t160 @t56 @t57 @t31)) % 0.83/1.09 (define @t301 () (tptp.c_FuncSet_Orestrict @t31 @t57 @t2 @t35)) % 0.83/1.09 (define @t302 () (@list @t35 @t2 @t57 @t31)) % 0.83/1.09 (define @t303 () (tptp.hAPP @t190 @t301)) % 0.83/1.09 (define @t304 () (tptp.hAPP @t75 @t40)) % 0.83/1.09 (define @t305 () (tptp.hAPP @t79 (tptp.hAPP @t304 @t45))) % 0.83/1.09 (define @t306 () (tptp.hAPP @t79 (tptp.hAPP @t269 @t45))) % 0.83/1.09 (define @t307 () (tptp.hBOOL (tptp.hAPP @t306 @t250))) % 0.83/1.09 (define @t308 () (tptp.hAPP @t79 (tptp.hAPP @t269 @t40))) % 0.83/1.09 (define @t309 () (tptp.hBOOL (tptp.hAPP @t308 @t250))) % 0.83/1.09 (define @t310 () (@list @t45 @t40 @t41 @t74 @t31)) % 0.83/1.09 (define @t311 () (tptp.c_Recdef_Oadm__wf @t31 @t57 @t56 @t160)) % 0.83/1.09 (define @t312 () (tptp.c_HOL_Oundefined @t57)) % 0.83/1.09 (define @t313 () (tptp.hAPP @t272 @t40)) % 0.83/1.09 (define @t314 () (tptp.hAPP @t304 @t41)) % 0.83/1.09 (define @t315 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t314) @t74))) % 0.83/1.09 (define @t316 () (tptp.hAPP @t2 @t40)) % 0.83/1.09 (define @t317 () (tptp.c_Transitive__Closure_Ortrancl @t31 @t56)) % 0.83/1.09 (define @t318 () (tptp.hBOOL (tptp.hAPP @t308 @t317))) % 0.83/1.09 (define @t319 () (tptp.c_Transitive__Closure_Ortrancl @t61 @t74)) % 0.83/1.09 (define @t320 () (@var "V_zb_2" $$unsorted)) % 0.83/1.09 (define @t321 () (@var "V_za_2" $$unsorted)) % 0.83/1.09 (define @t322 () (tptp.hAPP (tptp.hAPP @t58 @t321) @t320)) % 0.83/1.09 (define @t323 () (tptp.hAPP @t67 @t94)) % 0.83/1.09 (define @t324 () (@var "V_xb_2" $$unsorted)) % 0.83/1.09 (define @t325 () (@var "V_xa_2" $$unsorted)) % 0.83/1.09 (define @t326 () (tptp.hAPP (tptp.hAPP @t58 @t325) @t324)) % 0.83/1.09 (define @t327 () (tptp.hAPP @t67 @t326)) % 0.83/1.09 (define @t328 () (@var "V_ay_2" $$unsorted)) % 0.83/1.09 (define @t329 () (@var "V_ax_2" $$unsorted)) % 0.83/1.09 (define @t330 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 @t329) @t328))) % 0.83/1.09 (define @t331 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 @t93) @t92))) % 0.83/1.09 (define @t332 () (@var "B_ba" $$unsorted)) % 0.83/1.09 (define @t333 () (@var "B_aa" $$unsorted)) % 0.83/1.09 (define @t334 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 @t333) @t332))) % 0.83/1.09 (define @t335 () (@var "V_by_2" $$unsorted)) % 0.83/1.09 (define @t336 () (@var "V_bx_2" $$unsorted)) % 0.83/1.09 (define @t337 () (tptp.hAPP (tptp.hAPP @t58 @t336) @t335)) % 0.83/1.09 (define @t338 () (tptp.hAPP (tptp.hAPP @t58 @t333) @t332)) % 0.83/1.09 (define @t339 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t323 @t338)) @t74))) % 0.83/1.09 (define @t340 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 @t336) @t335))) % 0.83/1.09 (define @t341 () (tptp.hAPP @t67 (tptp.hAPP (tptp.hAPP @t58 @t329) @t328))) % 0.83/1.09 (define @t342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t341 @t337)) @t319))) % 0.83/1.09 (define @t343 () (@list @t64 @t74 @t335 @t336 @t328 @t329 @t57 @t31)) % 0.83/1.09 (define @t344 () (tptp.hAPP @t301 @t41)) % 0.83/1.09 (define @t345 () (= @t184 @t312)) % 0.83/1.09 (define @t346 () (tptp.c_Relation_ODomain @t31 @t57 @t74)) % 0.83/1.09 (define @t347 () (tptp.hBOOL (tptp.hAPP @t99 @t346))) % 0.83/1.09 (define @t348 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 @t122) @t74))) % 0.83/1.09 (define @t349 () (@list @t74 @t101 @t98 @t57 @t31)) % 0.83/1.09 (define @t350 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t121 @t239)) @t74))) % 0.83/1.09 (define @t351 () (@list @t74 @t57 @t98 @t31)) % 0.83/1.09 (define @t352 () (tptp.c_Relation_Osingle__valued @t31 @t57 @t74)) % 0.83/1.09 (define @t353 () (tptp.hAPP @t58 @t4)) % 0.83/1.09 (define @t354 () (@list @t4 @t239)) % 0.83/1.09 (define @t355 () (forall @t354 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t353 @t239)) @t74)) (forall @t248 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t353 @t245)) @t74)) (= @t239 @t245)))))) % 0.83/1.09 (define @t356 () (@list @t74 @t57 @t31)) % 0.83/1.09 (define @t357 () (tptp.hAPP @t144 @t74)) % 0.83/1.09 (define @t358 () (@list @t41 @t74 @t57 @t31)) % 0.83/1.09 (define @t359 () (tptp.hBOOL (tptp.hAPP @t107 @t137))) % 0.83/1.09 (define @t360 () (not @t359)) % 0.83/1.09 (define @t361 () (@var "V_T_2" $$unsorted)) % 0.83/1.09 (define @t362 () (tptp.c_FuncSet_Oextensional__funcset @t31 @t57 @t137 @t361)) % 0.83/1.09 (define @t363 () (tptp.hBOOL (tptp.hAPP @t191 @t362))) % 0.83/1.09 (define @t364 () (@list @t41 @t361 @t137 @t2 @t57 @t31)) % 0.83/1.09 (define @t365 () (@list @t57 @t31 @t101 @t98 @t74)) % 0.83/1.09 (define @t366 () (tptp.c_Relation_ORange @t31 @t57 @t74)) % 0.83/1.09 (define @t367 () (tptp.c_Relation_OId__on @t31 @t35)) % 0.83/1.09 (define @t368 () (@list @t35 @t40 @t41 @t31)) % 0.83/1.09 (define @t369 () (tptp.c_Recdef_Owfrec__rel @t31 @t57 @t56 @t160 @t41)) % 0.83/1.09 (define @t370 () (tptp.c_Product__Type_OPair @t57 @t31)) % 0.83/1.09 (define @t371 () (tptp.tc_prod @t57 @t31)) % 0.83/1.09 (define @t372 () (tptp.c_member @t371)) % 0.83/1.09 (define @t373 () (tptp.c_Relation_ORange @t57 @t31 @t74)) % 0.83/1.09 (define @t374 () (tptp.tc_fun @t189 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t375 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t157 @t239)) @t250))) % 0.83/1.09 (define @t376 () (@list @t74 @t101 @t98 @t31)) % 0.83/1.09 (define @t377 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t35 @t29)) % 0.83/1.09 (define @t378 () (tptp.hBOOL (tptp.hAPP @t377 @t41))) % 0.83/1.09 (define @t379 () (tptp.hBOOL @t183)) % 0.83/1.09 (define @t380 () (@list @t41 @t29 @t35 @t31)) % 0.83/1.09 (define @t381 () (tptp.hBOOL (tptp.hAPP @t33 @t377))) % 0.83/1.09 (define @t382 () (@list @t29 @t35 @t30 @t31)) % 0.83/1.09 (define @t383 () (@list @t29 @t35 @t31)) % 0.83/1.09 (define @t384 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t29 @t214)) % 0.83/1.09 (define @t385 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t35 @t384)) % 0.83/1.09 (define @t386 () (@list @t214 @t29 @t35 @t31)) % 0.83/1.09 (define @t387 () (tptp.hAPP @t1 @t41)) % 0.83/1.09 (define @t388 () (tptp.tc_fun @t57 @t31)) % 0.83/1.09 (define @t389 () (tptp.class_Lattices_Olattice @t31)) % 0.83/1.09 (define @t390 () (tptp.hBOOL (tptp.hAPP @t64 @t101))) % 0.83/1.09 (define @t391 () (tptp.hBOOL (tptp.hAPP @t64 @t245))) % 0.83/1.09 (define @t392 () (tptp.hBOOL (tptp.hAPP @t64 @t239))) % 0.83/1.09 (define @t393 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t241 @t245)) @t74))) % 0.83/1.09 (define @t394 () (tptp.hBOOL (tptp.hAPP @t64 @t98))) % 0.83/1.09 (define @t395 () (@list @t64 @t74 @t101 @t98 @t31)) % 0.83/1.09 (define @t396 () (tptp.hAPP @t79 (tptp.hAPP @t241 @t45))) % 0.83/1.09 (define @t397 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t269 @t239)) @t74))) % 0.83/1.09 (define @t398 () (@list @t74 @t45 @t41 @t31)) % 0.83/1.09 (define @t399 () (tptp.tc_fun @t31 @t143)) % 0.83/1.09 (define @t400 () (tptp.class_Lattices_Osemilattice__inf @t31)) % 0.83/1.09 (define @t401 () (@var "V_x" $$unsorted)) % 0.83/1.09 (define @t402 () (@list @t401 @t31)) % 0.83/1.09 (define @t403 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t116 @t114)) % 0.83/1.09 (define @t404 () (@list @t114 @t116 @t31)) % 0.83/1.09 (define @t405 () (@var "V_y" $$unsorted)) % 0.83/1.09 (define @t406 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t401 @t405)) % 0.83/1.09 (define @t407 () (= @t406 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t405 @t401))) % 0.83/1.09 (define @t408 () (@list @t405 @t401 @t31)) % 0.83/1.09 (define @t409 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t401 @t406) @t406)) % 0.83/1.09 (define @t410 () (@var "V_c" $$unsorted)) % 0.83/1.09 (define @t411 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t116 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t114 @t410))) % 0.83/1.09 (define @t412 () (@list @t410 @t116 @t114 @t31)) % 0.83/1.09 (define @t413 () (@var "V_z" $$unsorted)) % 0.83/1.09 (define @t414 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t405 @t413)) % 0.83/1.09 (define @t415 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t401 @t414)) % 0.83/1.09 (define @t416 () (= @t415 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t405 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t401 @t413)))) % 0.83/1.09 (define @t417 () (@list @t413 @t405 @t401 @t31)) % 0.83/1.09 (define @t418 () (@list @t410 @t114 @t116 @t31)) % 0.83/1.09 (define @t419 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t406 @t413) @t415)) % 0.83/1.09 (define @t420 () (tptp.hBOOL (tptp.hAPP @t281 @t74))) % 0.83/1.09 (define @t421 () (tptp.c_Relation_Orefl__on @t31 @t35 @t74)) % 0.83/1.09 (define @t422 () (tptp.hBOOL (tptp.hAPP @t308 @t74))) % 0.83/1.09 (define @t423 () (@list @t40 @t41 @t74 @t35 @t31)) % 0.83/1.09 (define @t424 () (tptp.c_Transitive__Closure_Otrancl @t31 @t74)) % 0.83/1.09 (define @t425 () (tptp.hBOOL (tptp.hAPP @t224 @t424))) % 0.83/1.09 (define @t426 () (tptp.hAPP @t79 (tptp.hAPP @t269 @t325))) % 0.83/1.09 (define @t427 () (@list @t325 @t41 @t74 @t31)) % 0.83/1.09 (define @t428 () (tptp.c_Transitive__Closure_Ortranclp @t31 @t74)) % 0.83/1.09 (define @t429 () (tptp.hAPP @t428 @t98)) % 0.83/1.09 (define @t430 () (tptp.hAPP @t428 @t41)) % 0.83/1.09 (define @t431 () (tptp.hBOOL (tptp.hAPP @t430 @t40))) % 0.83/1.09 (define @t432 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t399 @t35 @t29) @t41) @t40))) % 0.83/1.09 (define @t433 () (tptp.hBOOL (tptp.hAPP @t183 @t40))) % 0.83/1.09 (define @t434 () (tptp.hBOOL (tptp.hAPP @t110 @t40))) % 0.83/1.09 (define @t435 () (@list @t40 @t41 @t29 @t35 @t57 @t31)) % 0.83/1.09 (define @t436 () (tptp.tc_fun @t31 @t174)) % 0.83/1.09 (define @t437 () (@var "V_a3_2" $$unsorted)) % 0.83/1.09 (define @t438 () (tptp.hAPP @t74 @t92)) % 0.83/1.09 (define @t439 () (tptp.hBOOL (tptp.hAPP @t438 @t437))) % 0.83/1.09 (define @t440 () (tptp.hAPP @t428 @t257)) % 0.83/1.09 (define @t441 () (@list @t92)) % 0.83/1.09 (define @t442 () (@list @t437 @t257 @t74 @t31)) % 0.83/1.09 (define @t443 () (tptp.hBOOL (tptp.hAPP @t429 @t30))) % 0.83/1.09 (define @t444 () (tptp.hAPP @t428 @t101)) % 0.83/1.09 (define @t445 () (tptp.hBOOL (tptp.hAPP @t444 @t30))) % 0.83/1.09 (define @t446 () (@list @t30 @t31 @t101 @t98 @t74)) % 0.83/1.09 (define @t447 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t101) @t30))) % 0.83/1.09 (define @t448 () (tptp.hBOOL (tptp.hAPP @t429 @t101))) % 0.83/1.09 (define @t449 () (@list @t30 @t101 @t98 @t74 @t31)) % 0.83/1.09 (define @t450 () (tptp.hBOOL (tptp.hAPP @t283 @t424))) % 0.83/1.09 (define @t451 () (@list @t56 @t31)) % 0.83/1.09 (define @t452 () (tptp.c_Transitive__Closure_Otrancl @t31 @t56)) % 0.83/1.09 (define @t453 () (tptp.hBOOL (tptp.hAPP @t444 @t98))) % 0.83/1.09 (define @t454 () (@list @t101 @t98 @t74 @t31)) % 0.83/1.09 (define @t455 () (tptp.hBOOL (tptp.hAPP @t286 @t424))) % 0.83/1.09 (define @t456 () (=> (tptp.hBOOL (tptp.hAPP @t288 @t424)) @t455)) % 0.83/1.09 (define @t457 () (=> @t293 @t455)) % 0.83/1.09 (define @t458 () (tptp.hBOOL (tptp.hAPP @t308 @t452))) % 0.83/1.09 (define @t459 () (@list @t56 @t40 @t41 @t31)) % 0.83/1.09 (define @t460 () (=> @t289 @t455)) % 0.83/1.09 (define @t461 () (tptp.hBOOL (tptp.hAPP @t306 @t424))) % 0.83/1.09 (define @t462 () (tptp.hAPP @t79 (tptp.hAPP @t246 @t40))) % 0.83/1.09 (define @t463 () (tptp.hAPP @t79 (tptp.hAPP @t269 @t245))) % 0.83/1.09 (define @t464 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t80 @t424))))) % 0.83/1.09 (define @t465 () (tptp.c_Wellfounded_Oacyclic @t31 @t74)) % 0.83/1.09 (define @t466 () (not @t309)) % 0.83/1.09 (define @t467 () (tptp.c_Set_Oinsert @t78 @t314 @t74)) % 0.83/1.09 (define @t468 () (@list @t74 @t41 @t40 @t31)) % 0.83/1.09 (define @t469 () (@var "B_c" $$unsorted)) % 0.83/1.09 (define @t470 () (tptp.c_Transitive__Closure_Otranclp @t31 @t74)) % 0.83/1.09 (define @t471 () (tptp.hAPP @t470 @t98)) % 0.83/1.09 (define @t472 () (tptp.hBOOL (tptp.hAPP @t471 @t101))) % 0.83/1.09 (define @t473 () (tptp.hBOOL (tptp.hAPP @t99 (tptp.c_Set_Oinsert @t31 @t101 @t35)))) % 0.83/1.09 (define @t474 () (@list @t35 @t101 @t98 @t31)) % 0.83/1.09 (define @t475 () (tptp.c_Set_Oinsert @t31 @t101 @t29)) % 0.83/1.09 (define @t476 () (tptp.hBOOL (tptp.hAPP @t99 @t475))) % 0.83/1.09 (define @t477 () (tptp.hBOOL (tptp.hAPP @t99 @t29))) % 0.83/1.09 (define @t478 () (@list @t101 @t29 @t98 @t31)) % 0.83/1.09 (define @t479 () (tptp.c_Set_Oinsert @t31 @t98 @t377)) % 0.83/1.09 (define @t480 () (tptp.c_Set_Oinsert @t31 @t98 @t29)) % 0.83/1.09 (define @t481 () (tptp.c_Set_Oinsert @t31 @t98 @t35)) % 0.83/1.09 (define @t482 () (@list @t29 @t35 @t98 @t31)) % 0.83/1.09 (define @t483 () (tptp.c_Set_Oinsert @t31 @t41 @t35)) % 0.83/1.09 (define @t484 () (tptp.c_Set_Oinsert @t31 @t40 @t35)) % 0.83/1.09 (define @t485 () (tptp.hAPP @t470 @t257)) % 0.83/1.09 (define @t486 () (tptp.hBOOL (tptp.hAPP @t485 @t92))) % 0.83/1.09 (define @t487 () (tptp.hAPP @t74 @t257)) % 0.83/1.09 (define @t488 () (tptp.hBOOL (tptp.hAPP @t471 @t30))) % 0.83/1.09 (define @t489 () (=> @t447 @t488)) % 0.83/1.09 (define @t490 () (tptp.hAPP @t470 @t41)) % 0.83/1.09 (define @t491 () (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t470 @t40) @t45)) (tptp.hBOOL (tptp.hAPP @t490 @t45)))) % 0.83/1.09 (define @t492 () (tptp.c_Set_Oinsert @t31 @t41 @t29)) % 0.83/1.09 (define @t493 () (@list @t29 @t35 @t41 @t31)) % 0.83/1.09 (define @t494 () (=> @t445 @t488)) % 0.83/1.09 (define @t495 () (tptp.c_Transitive__Closure_Ortranclp @t31 @t56)) % 0.83/1.09 (define @t496 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t480 @t214)) % 0.83/1.09 (define @t497 () (tptp.hBOOL (tptp.hAPP @t99 @t214))) % 0.83/1.09 (define @t498 () (=> @t497 (= @t496 (tptp.c_Set_Oinsert @t31 @t98 @t384)))) % 0.83/1.09 (define @t499 () (@list @t29 @t214 @t98 @t31)) % 0.83/1.09 (define @t500 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t35 @t480)) % 0.83/1.09 (define @t501 () (=> @t100 (= @t500 @t479))) % 0.83/1.09 (define @t502 () (=> (not @t497) (= @t496 @t384))) % 0.83/1.09 (define @t503 () (not @t100)) % 0.83/1.09 (define @t504 () (=> @t503 (= @t500 @t377))) % 0.83/1.09 (define @t505 () (tptp.c_Fun_Ofun__upd @t57 @t31 @t2 @t41 @t40)) % 0.83/1.09 (define @t506 () (tptp.c_member @t388)) % 0.83/1.09 (define @t507 () (tptp.c_Wellfounded_Owf @t31 @t74)) % 0.83/1.09 (define @t508 () (tptp.c_Relation_Oinv__image @t31 @t57)) % 0.83/1.09 (define @t509 () (@var "V_rb_2" $$unsorted)) % 0.83/1.09 (define @t510 () (@var "V_ra_2" $$unsorted)) % 0.83/1.09 (define @t511 () (@var "V_r_H_2" $$unsorted)) % 0.83/1.09 (define @t512 () (@list @t511 @t74 @t31)) % 0.83/1.09 (define @t513 () (forall @t8 @t227)) % 0.83/1.09 (define @t514 () (tptp.c_Relation_Oantisym @t31 @t74)) % 0.83/1.09 (define @t515 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t241 @t4)) @t74))) % 0.83/1.09 (define @t516 () (forall @t354 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t76 @t239)) @t74)) (=> @t515 (= @t4 @t239))))) % 0.83/1.09 (define @t517 () (tptp.c_Wellfounded_Omeasure @t31)) % 0.83/1.09 (define @t518 () (tptp.hAPP @t517 @t2)) % 0.83/1.09 (define @t519 () (@var "B_M" $$unsorted)) % 0.83/1.09 (define @t520 () (tptp.c_Recdef_Owfrec @t31 @t57 @t267 @t519)) % 0.83/1.09 (define @t521 () (@var "V_H_2" $$unsorted)) % 0.83/1.09 (define @t522 () (tptp.c_Recdef_Owfrec @t31 @t57 @t74 @t521)) % 0.83/1.09 (define @t523 () (= @t184 @t40)) % 0.83/1.09 (define @t524 () (tptp.c_Fun_Ofun__upd @t31 @t57 @t2 @t41 @t40)) % 0.83/1.09 (define @t525 () (tptp.hAPP @t524 @t45)) % 0.83/1.09 (define @t526 () (= @t45 @t41)) % 0.83/1.09 (define @t527 () (=> (not @t526) (= @t525 (tptp.hAPP @t2 @t45)))) % 0.83/1.09 (define @t528 () (@list @t40 @t2 @t57 @t31 @t41 @t45)) % 0.83/1.09 (define @t529 () (@var "V_d_2" $$unsorted)) % 0.83/1.09 (define @t530 () (@var "V_m_2" $$unsorted)) % 0.83/1.09 (define @t531 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t31 @t57 @t2 @t98 @t101) @t41)) % 0.83/1.09 (define @t532 () (tptp.hAPP @t2 @t98)) % 0.83/1.09 (define @t533 () (tptp.c_Recdef_Ocut @t57 @t31)) % 0.83/1.09 (define @t534 () (tptp.tc_fun @t57 @t388)) % 0.83/1.09 (define @t535 () (tptp.tc_fun @t70 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t536 () (tptp.tc_fun @t57 @t57)) % 0.83/1.09 (define @t537 () (@list @t41 @t160 @t56 @t31 @t57)) % 0.83/1.09 (define @t538 () (tptp.c_Wellfounded_Owf @t31 @t56)) % 0.83/1.09 (define @t539 () (tptp.c_Nitpick_Owfrec_H @t31 @t57 @t56 @t160 @t41)) % 0.83/1.09 (define @t540 () (tptp.hAPP tptp.c_fequal @t41)) % 0.83/1.09 (define @t541 () (@var "B_Q" $$unsorted)) % 0.83/1.09 (define @t542 () (tptp.hBOOL (tptp.hAPP @t207 @t541))) % 0.83/1.09 (define @t543 () (@list @t31)) % 0.83/1.09 (define @t544 () (tptp.c_Wellfounded_OwfP @t31 @t74)) % 0.83/1.09 (define @t545 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t184 @t316)) % 0.83/1.09 (define @t546 () (tptp.c_Fun_Ooverride__on @t31 @t57 @t2 @t1 @t35 @t98)) % 0.83/1.09 (define @t547 () (=> @t503 (= @t546 @t532))) % 0.83/1.09 (define @t548 () (=> @t100 (= @t546 (tptp.hAPP @t1 @t98)))) % 0.83/1.09 (define @t549 () (@list @t1 @t2 @t57 @t35 @t98 @t31)) % 0.83/1.09 (define @t550 () (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 0.83/1.09 (define @t551 () (tptp.tc_prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat)) % 0.83/1.09 (define @t552 () (tptp.c_member @t551)) % 0.83/1.09 (define @t553 () (@list @t40 @t41)) % 0.83/1.09 (define @t554 () (tptp.c_Orderings_Oord__class_Oless @t31 @t403 @t401)) % 0.83/1.09 (define @t555 () (@list @t114 @t401 @t116 @t31)) % 0.83/1.09 (define @t556 () (@list @t116 @t401 @t114 @t31)) % 0.83/1.09 (define @t557 () (tptp.c_Wellfounded_Omlex__prod @t31 @t2 @t56)) % 0.83/1.09 (define @t558 () (tptp.hBOOL (tptp.hAPP @t308 @t557))) % 0.83/1.09 (define @t559 () (@list @t56 @t31 @t40 @t41 @t2)) % 0.83/1.09 (define @t560 () (tptp.tc_prod tptp.tc_Nat_Onat @t31)) % 0.83/1.09 (define @t561 () (tptp.c_Transitive__Closure_Otrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 0.83/1.09 (define @t562 () (=> @t36 @t34)) % 0.83/1.09 (define @t563 () (tptp.c_Orderings_Oord__class_Oless @t174 @t35 @t29)) % 0.83/1.09 (define @t564 () (@list @t30 @t29 @t35 @t31)) % 0.83/1.09 (define @t565 () (@var "V_n_2" $$unsorted)) % 0.83/1.09 (define @t566 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t530 @t565)) % 0.83/1.09 (define @t567 () (tptp.hAPP @t552 (tptp.hAPP (tptp.hAPP @t550 @t530) @t565))) % 0.83/1.09 (define @t568 () (@list @t565 @t530)) % 0.83/1.09 (define @t569 () (@var "V_t_2" $$unsorted)) % 0.83/1.09 (define @t570 () (tptp.c_Product__Type_OPair @t551 @t551)) % 0.83/1.09 (define @t571 () (tptp.c_member (tptp.tc_prod @t551 @t551))) % 0.83/1.09 (define @t572 () (tptp.hAPP @t571 (tptp.hAPP (tptp.hAPP @t570 (tptp.hAPP (tptp.hAPP @t550 @t98) @t156)) (tptp.hAPP (tptp.hAPP @t550 @t101) @t569)))) % 0.83/1.09 (define @t573 () (tptp.hBOOL (tptp.hAPP @t572 tptp.c_FunDef_Opair__leq))) % 0.83/1.09 (define @t574 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t101)) % 0.83/1.09 (define @t575 () (@list @t569 @t156 @t101 @t98)) % 0.83/1.09 (define @t576 () (tptp.hBOOL (tptp.hAPP @t572 tptp.c_FunDef_Opair__less))) % 0.83/1.09 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t530 @t565)) % 0.83/1.09 (define @t578 () (tptp.c_Orderings_Oord__class_Oless @t174 @t35 @t214)) % 0.83/1.09 (define @t579 () (=> (tptp.c_Orderings_Oord__class_Oless @t174 @t29 @t214) @t578)) % 0.83/1.09 (define @t580 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t401 @t405)) % 0.83/1.09 (define @t581 () (@list @t405 @t401)) % 0.83/1.09 (define @t582 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t101)) % 0.83/1.09 (define @t583 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t406 @t401)) % 0.83/1.09 (define @t584 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t406 @t405)) % 0.83/1.09 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t41 @t40)) % 0.83/1.09 (define @t586 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t403 @t401)) % 0.83/1.09 (define @t587 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t401 @t405)) % 0.83/1.09 (define @t588 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t405 @t401)) % 0.83/1.09 (define @t589 () (@list @t401 @t405 @t31)) % 0.83/1.09 (define @t590 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t401 @t403)) % 0.83/1.09 (define @t591 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t401 @t114)) % 0.83/1.09 (define @t592 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t401 @t116)) % 0.83/1.09 (define @t593 () (@list @t114 @t116 @t401 @t31)) % 0.83/1.09 (define @t594 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t401 @t413)) % 0.83/1.09 (define @t595 () (@var "V_d" $$unsorted)) % 0.83/1.09 (define @t596 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t116 @t410)) % 0.83/1.09 (define @t597 () (@var "V_YS_2" $$unsorted)) % 0.83/1.09 (define @t598 () (@var "V_XS_2" $$unsorted)) % 0.83/1.09 (define @t599 () (tptp.tc_fun @t551 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t600 () (tptp.c_Product__Type_OPair @t599 @t599)) % 0.83/1.09 (define @t601 () (tptp.hAPP @t600 @t598)) % 0.83/1.09 (define @t602 () (tptp.tc_prod @t599 @t599)) % 0.83/1.09 (define @t603 () (tptp.c_member @t602)) % 0.83/1.09 (define @t604 () (tptp.hAPP @t603 (tptp.hAPP @t601 (tptp.c_Set_Oinsert @t551 @t40 @t597)))) % 0.83/1.09 (define @t605 () (tptp.hAPP @t603 (tptp.hAPP @t601 @t597))) % 0.83/1.09 (define @t606 () (tptp.hAPP @t571 (tptp.hAPP (tptp.hAPP @t570 @t41) @t40))) % 0.83/1.09 (define @t607 () (tptp.hBOOL (tptp.hAPP @t606 tptp.c_FunDef_Opair__leq))) % 0.83/1.09 (define @t608 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t552 @t41) @t598))) % 0.83/1.09 (define @t609 () (@list @t597 @t40 @t598 @t41)) % 0.83/1.09 (define @t610 () (tptp.hAPP @t552 @t40)) % 0.83/1.09 (define @t611 () (tptp.hBOOL (tptp.hAPP @t606 tptp.c_FunDef_Opair__less))) % 0.83/1.09 (define @t612 () (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t35 @t29)) % 0.83/1.09 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t29 @t214)) % 0.83/1.09 (define @t614 () (@list @t282 @t74 @t31)) % 0.83/1.09 (define @t615 () (tptp.c_Orderings_Oord__class_Oless__eq @t139 @t74 @t156)) % 0.83/1.09 (define @t616 () (@list @t156 @t74 @t57 @t31)) % 0.83/1.09 (define @t617 () (@var "V_R1_2" $$unsorted)) % 0.83/1.09 (define @t618 () (@var "V_R2_2" $$unsorted)) % 0.83/1.09 (define @t619 () (@list @t618 @t617 @t31)) % 0.83/1.09 (define @t620 () (@var "V_A_H_2" $$unsorted)) % 0.83/1.09 (define @t621 () (tptp.c_Transitive__Closure_Ortrancl @t31 @t156)) % 0.83/1.09 (define @t622 () (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t250 @t621)) % 0.83/1.09 (define @t623 () (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t74 @t156)) % 0.83/1.09 (define @t624 () (@list @t156 @t74 @t31)) % 0.83/1.09 (define @t625 () (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t29 @t35)) % 0.83/1.09 (define @t626 () (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t35 @t214)) % 0.83/1.09 (define @t627 () (@list @t29 @t35 @t57 @t31)) % 0.83/1.09 (define @t628 () (@var "V_Y_2" $$unsorted)) % 0.83/1.09 (define @t629 () (@var "V_X_2" $$unsorted)) % 0.83/1.09 (define @t630 () (tptp.class_Orderings_Opreorder @t31)) % 0.83/1.09 (define @t631 () (tptp.tc_fun @t602 tptp.tc_HOL_Obool)) % 0.83/1.09 (define @t632 () (tptp.c_Product__Type_OPair @t631 @t631)) % 0.83/1.09 (define @t633 () (@var "V_Q_2" $$unsorted)) % 0.83/1.09 (define @t634 () (tptp.hAPP @t633 @t41)) % 0.83/1.09 (define @t635 () (tptp.hBOOL (tptp.hAPP @t634 @t40))) % 0.83/1.09 (define @t636 () (tptp.c_Orderings_Oord__class_Oless__eq @t399 @t64 @t633)) % 0.83/1.09 (define @t637 () (tptp.hBOOL (tptp.hAPP @t72 @t40))) % 0.83/1.09 (define @t638 () (tptp.hBOOL @t634)) % 0.83/1.09 (define @t639 () (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t64 @t633)) % 0.83/1.09 (define @t640 () (@list @t31 @t29 @t35)) % 0.83/1.09 (define @t641 () (tptp.c_Orderings_Oord__class_Oless__eq @t189 @t2 @t1)) % 0.83/1.09 (define @t642 () (tptp.class_Orderings_Oord @t57)) % 0.83/1.09 (define @t643 () (@list @t1 @t2 @t31 @t57)) % 0.83/1.09 (define @t644 () (tptp.class_Orderings_Olinorder @t31)) % 0.83/1.09 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t41)) % 0.83/1.09 (define @t646 () (tptp.class_Orderings_Oorder @t31)) % 0.83/1.09 (define @t647 () (= @t401 @t405)) % 0.83/1.09 (define @t648 () (= @t585 @t48)) % 0.83/1.09 (define @t649 () (@list @t41 @t40 @t31)) % 0.83/1.09 (define @t650 () (= @t116 @t114)) % 0.83/1.09 (define @t651 () (tptp.class_Orderings_Oord @t31)) % 0.83/1.09 (define @t652 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t410 @t116)) % 0.83/1.09 (define @t653 () (= @t114 @t410)) % 0.83/1.09 (define @t654 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t116 @t114)) % 0.83/1.09 (define @t655 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t114 @t116)) % 0.83/1.09 (define @t656 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t405 @t413)) % 0.83/1.09 (define @t657 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t413 @t405)) % 0.83/1.09 (define @t658 () (@list @t413 @t401 @t405 @t31)) % 0.83/1.09 (define @t659 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t41)) % 0.83/1.09 (define @t660 () (tptp.c_Orderings_Oord__class_Oless @t31 @t41 @t40)) % 0.83/1.09 (define @t661 () (not @t660)) % 0.83/1.09 (define @t662 () (tptp.c_Orderings_Oord__class_Oless @t31 @t405 @t401)) % 0.83/1.09 (define @t663 () (tptp.c_Orderings_Oord__class_Oless @t31 @t401 @t405)) % 0.83/1.09 (define @t664 () (= @t661 @t48)) % 0.83/1.09 (define @t665 () (not @t663)) % 0.83/1.09 (define @t666 () (not @t647)) % 0.83/1.09 (define @t667 () (tptp.c_Orderings_Oord__class_Oless @t31 @t114 @t116)) % 0.83/1.09 (define @t668 () (tptp.c_Orderings_Oord__class_Oless @t31 @t116 @t114)) % 0.83/1.09 (define @t669 () (@list @t116 @t114 @t31)) % 0.83/1.09 (define @t670 () (tptp.c_Orderings_Oord__class_Oless @t31 @t116 @t410)) % 0.83/1.09 (define @t671 () (tptp.c_Orderings_Oord__class_Oless @t31 @t410 @t116)) % 0.83/1.09 (define @t672 () (tptp.c_Orderings_Oord__class_Oless @t31 @t401 @t413)) % 0.83/1.09 (define @t673 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t405 @t413) @t672)) % 0.83/1.09 (define @t674 () (tptp.c_Orderings_Oord__class_Oless @t31 @t413 @t401)) % 0.83/1.09 (define @t675 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t413 @t405) @t674)) % 0.83/1.09 (define @t676 () (not @t650)) % 0.83/1.09 (define @t677 () (= @t530 @t565)) % 0.83/1.09 (define @t678 () (not @t677)) % 0.83/1.09 (define @t679 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t64 @t565) @t530))) % 0.83/1.09 (define @t680 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t565 @t530)) % 0.83/1.09 (define @t681 () (@var "V_t" $$unsorted)) % 0.83/1.09 (define @t682 () (@var "V_s" $$unsorted)) % 0.83/1.09 (define @t683 () (@var "V_n" $$unsorted)) % 0.83/1.09 (define @t684 () (@var "V_m" $$unsorted)) % 0.83/1.09 (define @t685 () (= @t684 @t683)) % 0.83/1.09 (define @t686 () (not @t685)) % 0.83/1.09 (define @t687 () (@list @t683)) % 0.83/1.09 (define @t688 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t683 @t684)) % 0.83/1.09 (define @t689 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t684 @t683)) % 0.83/1.09 (define @t690 () (@list @t683 @t684)) % 0.83/1.09 (define @t691 () (@var "V_k" $$unsorted)) % 0.83/1.09 (define @t692 () (@var "V_i" $$unsorted)) % 0.83/1.09 (define @t693 () (@var "V_j" $$unsorted)) % 0.83/1.09 (define @t694 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t684 @t683)) % 0.83/1.09 (define @t695 () (tptp.c_FunDef_Orp__inv__image @t31 @t57)) % 0.83/1.09 (define @t696 () (tptp.tc_prod @t535 @t535)) % 0.83/1.09 (define @t697 () (tptp.tc_fun @t535 @t696)) % 0.83/1.09 (define @t698 () (tptp.tc_fun @t388 @t697)) % 0.83/1.09 (define @t699 () (tptp.tc_fun @t388 @t535)) % 0.83/1.09 (define @t700 () (tptp.tc_fun @t388 @t696)) % 0.83/1.09 (define @t701 () (tptp.tc_fun @t699 @t700)) % 0.83/1.09 (define @t702 () (tptp.tc_fun @t234 @t700)) % 0.83/1.09 (define @t703 () (tptp.tc_fun @t234 @t699)) % 0.83/1.09 (define @t704 () (tptp.c_Relation_Orel__comp @t31 @t57 @t150 @t74 @t156)) % 0.83/1.09 (define @t705 () (tptp.tc_prod @t57 @t150)) % 0.83/1.09 (define @t706 () (@list @t2 @t150 @t57 @t31)) % 0.83/1.09 (define @t707 () (tptp.c_Product__Type_Oprod_Oprod__case @t57 @t150 @t31 @t2)) % 0.83/1.09 (define @t708 () (tptp.c_Relation_Orel__comp @t31 @t31 @t31 @t250 @t74)) % 0.83/1.09 (define @t709 () (tptp.c_Relation_Orel__comp @t31 @t31 @t31 @t74 @t250)) % 0.83/1.09 (define @t710 () (@var "V_q_2" $$unsorted)) % 0.83/1.09 (define @t711 () (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t57 @t150 @t30)) % 0.83/1.09 (define @t712 () (@var "T_e" $$unsorted)) % 0.83/1.09 (define @t713 () (@var "T_1" $$unsorted)) % 0.83/1.09 (define @t714 () (@var "T_2" $$unsorted)) % 0.83/1.09 (define @t715 () (tptp.tc_fun @t714 @t713)) % 0.83/1.09 (define @t716 () (tptp.class_Lattices_Olattice @t713)) % 0.83/1.09 (define @t717 () (@list @t714 @t713)) % 0.83/1.09 (define @t718 () (@var "V_P" $$unsorted)) % 0.83/1.09 (define @t719 () (@var "V_Q" $$unsorted)) % 0.83/1.09 (define @t720 () (tptp.hAPP @t633 @t56)) % 0.83/1.09 (define @t721 () (tptp.hAPP @t64 @t56)) % 0.83/1.09 (define @t722 () (@list @t56 @t633 @t64 @t31 @t150 @t57)) % 0.83/1.09 (define @t723 () (tptp.hBOOL (tptp.hAPP @t540 @t40))) % 0.83/1.09 (define @t724 () (tptp.hBOOL @t64)) % 0.83/1.09 (define @t725 () (not @t724)) % 0.83/1.09 (define @t726 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t64))) % 0.83/1.09 (define @t727 () (@list @t64)) % 0.83/1.09 (define @t728 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t64) @t633))) % 0.83/1.09 (define @t729 () (tptp.hBOOL @t633)) % 0.83/1.09 (define @t730 () (@list @t633 @t64)) % 0.83/1.09 (define @t731 () (not @t728)) % 0.83/1.09 (define @t732 () (forall @t22 (= @t21 @t23))) % 0.83/1.09 (define @t733 () (@quantifiers_skolemize @t732 0)) % 0.83/1.09 (define @t734 () (@list @t733)) % 0.83/1.09 (define @t735 () (tptp.hBOOL (tptp.hAPP @t20 (tptp.hAPP tptp.v_P_H____ @t733)))) % 0.83/1.09 (define @t736 () (tptp.hAPP tptp.v_P____ @t733)) % 0.83/1.09 (define @t737 () (tptp.hBOOL (tptp.hAPP @t20 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t736) tptp.v_c____) tptp.v_b____)) tptp.v_b____) tptp.v_a____)) tptp.v_a____) tptp.v_c____)))) % 0.83/1.09 (define @t738 () (= @t737 @t735)) % 0.83/1.09 (define @t739 () (tptp.hBOOL (tptp.hAPP @t15 @t736))) % 0.83/1.09 (define @t740 () (= @t739 @t735)) % 0.83/1.09 (define @t741 () (= @t735 @t739)) % 0.83/1.09 (define @t742 () (not @t741)) % 0.83/1.09 (define @t743 () (not @t735)) % 0.83/1.09 (define @t744 () (= @t737 @t739)) % 0.83/1.09 (define @t745 () (not @t744)) % 0.83/1.09 (define @t746 () (not @t739)) % 0.83/1.09 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 0.83/1.09 (assume @p2 (not (= tptp.v_a____ tptp.v_b____))) % 0.83/1.09 (assume @p3 (forall @t22 (= @t21 @t16))) % 0.83/1.09 (assume @p4 @t24) % 0.83/1.09 (assume @p5 (forall @t22 (= @t16 @t26))) % 0.83/1.09 (assume @p6 (forall @t22 (= @t26 @t28))) % 0.83/1.09 (assume @p7 (forall @t22 (= @t28 @t21))) % 0.83/1.09 (assume @p8 (forall (@list @t30 @t31 @t29 @t35) (=> @t38 (=> @t37 (not (=> (not @t36) @t34)))))) % 0.83/1.09 (assume @p9 (forall @t52 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t39 @t45))) (and @t51 (=> @t46 @t49) (=> @t47 @t44))))) % 0.83/1.09 (assume @p10 (forall @t52 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.c_Arrow__Order__Mirabelle_Omktop @t39 @t45))) (and @t47 (=> @t50 @t49) (=> @t51 @t44))))) % 0.83/1.09 (assume @p11 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (assume @p12 (forall (@list @t40 @t41 @t56 @t57 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_FunDef_Oin__rel @t31 @t57 @t56) @t41) @t40)) (tptp.hBOOL (tptp.hAPP @t63 @t56))))) % 0.83/1.09 (assume @p13 (forall (@list @t31 @t56 @t40 @t66 @t57 @t41 @t64) (=> @t73 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t69 @t66) @t40)) (tptp.hAPP @t56 @t41))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP (tptp.hAPP @t67 (tptp.hAPP @t59 @t66)) @t60)) @t65)))))) % 0.83/1.09 (assume @p14 (forall @t82 (= (tptp.c_Nitpick_Orefl_H @t31 @t74) (forall @t8 @t81)))) % 0.83/1.09 (assume @p15 (= (tptp.hBOOL (tptp.hAPP @t15 (tptp.hAPP tptp.v_F tptp.v_P____))) @t88)) % 0.83/1.09 (assume @p16 (= @t88 @t90)) % 0.83/1.09 (assume @p17 (= @t90 (tptp.hBOOL (tptp.hAPP @t20 (tptp.hAPP tptp.v_F @t91))))) % 0.83/1.09 (assume @p18 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (assume @p19 (forall (@list @t57 @t31 @t64) (= (forall @t97 (tptp.hBOOL (tptp.hAPP @t64 @t96))) (forall @t95 (tptp.hBOOL (tptp.hAPP @t64 @t94)))))) % 0.83/1.09 (assume @p20 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 0.83/1.09 (assume @p21 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 0.83/1.09 (assume @p22 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t87) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (assume @p23 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t91) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (assume @p24 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t89) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.83/1.09 (assume @p25 (forall @t104 (=> @t103 (=> (tptp.hBOOL (tptp.hAPP @t102 @t35)) @t100)))) % 0.83/1.09 (assume @p26 (forall (@list @t35 @t31 @t40 @t41) (=> @t48 (= @t108 @t106)))) % 0.83/1.09 (assume @p27 (forall (@list @t41 @t31 @t29 @t35) (=> @t38 (= @t108 @t109)))) % 0.83/1.09 (assume @p28 (forall @t112 (= @t108 @t111))) % 0.83/1.09 (assume @p29 (forall (@list @t113 @t115 @t114 @t116 @t57 @t31) (=> (= (tptp.hAPP (tptp.hAPP @t58 @t116) @t114) (tptp.hAPP (tptp.hAPP @t58 @t115) @t113)) (not (=> (= @t116 @t115) (not (= @t114 @t113))))))) % 0.83/1.09 (assume @p30 (forall (@list @t117 @t118 @t101 @t98 @t57 @t31) (= (= @t122 @t120) (and @t119 (= @t101 @t117))))) % 0.83/1.09 (assume @p31 (forall @t136 (=> @t135 (=> @t134 (=> @t133 (=> @t132 (=> @t131 (=> @t130 (=> @t129 (=> @t128 @t125)))))))))) % 0.83/1.09 (assume @p32 (forall @t136 (=> @t135 (=> @t134 (=> @t133 (=> @t132 (=> @t131 (=> @t130 (=> @t129 (= @t128 @t125)))))))))) % 0.83/1.09 (assume @p33 (forall @t147 (= (= @t146 @t145) @t138))) % 0.83/1.09 (assume @p34 (forall @t153 (= (tptp.c_Product__Type_Oprod_Oprod__rec @t57 @t150 @t31 @t148 @t152) @t149))) % 0.83/1.09 (assume @p35 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 tptp.v_F) @t154))) % 0.83/1.09 (assume @p36 (forall (@list @t156 @t74 @t117 @t118 @t101 @t98 @t57 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP (tptp.hAPP @t67 @t122) @t120)) (tptp.c_Wellfounded_Olex__prod @t31 @t57 @t74 @t156))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t157 @t118)) @t74)) (and @t119 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t69 @t101) @t117)) @t156))))))) % 0.83/1.09 (assume @p37 (forall @t164 (= @t163 (forall @t8 (=> @t162 (= @t161 @t159)))))) % 0.83/1.09 (assume @p38 (forall @t173 (=> @t135 (=> @t172 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.hAPP (tptp.hAPP @t170 @t98) @t101))) (and @t49 (=> @t169 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t42 @t101)) @t39))) (=> (not @t169) (and (=> @t165 (or @t168 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t167 @t40)) @t39)))) (=> @t166 @t44))))))))) % 0.83/1.09 (assume @p39 (forall (@list @t101 @t98 @t30 @t31 @t150 @t57) (= (tptp.c_Product__Type_Ointernal__split @t57 @t150 @t31 @t30 @t152) (tptp.hAPP (tptp.hAPP @t30 @t98) @t101)))) % 0.83/1.09 (assume @p40 (forall (@list @t39) (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 (tptp.c_COMBK @t53 tptp.tc_Arrow__Order__Mirabelle_Oindi @t39)) tptp.c_Arrow__Order__Mirabelle_OProf))))) % 0.83/1.09 (assume @p41 (forall @t178 (= (= @t177 @t176) @t138))) % 0.83/1.09 (assume @p42 (forall @t179 (=> @t49 (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 (tptp.hAPP (tptp.hAPP @t170 @t41) @t40)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 0.83/1.09 (assume @p43 (forall @t180 (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Arrow__Order__Mirabelle_Omktop @t39 @t41)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 0.83/1.09 (assume @p44 (forall @t180 (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t39 @t41)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 0.83/1.09 (assume @p45 (forall @t181 (= (tptp.hBOOL (tptp.hAPP @t107 (tptp.hAPP tptp.c_fequal @t40))) @t48))) % 0.83/1.09 (assume @p46 (forall (@list @t40 @t41 @t39) (=> @t172 (=> @t49 (= (not @t44) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP (tptp.hAPP @t11 @t40) @t41)) @t39))))))) % 0.83/1.09 (assume @p47 (forall (@list @t101 @t98 @t39) (=> @t172 (=> (tptp.hBOOL (tptp.hAPP @t127 @t39)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t167 @t98)) @t39))))))) % 0.83/1.09 (assume @p48 (forall @t193 (=> @t192 (=> (not @t187) @t182)))) % 0.83/1.09 (assume @p49 (forall @t173 (=> @t135 (=> @t172 (= (tptp.hBOOL (tptp.hAPP @t43 (tptp.c_Arrow__Order__Mirabelle_Oabove @t39 @t98 @t101))) (and @t49 (=> @t194 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t126 @t40)) @t39))) (=> (not @t194) (and (=> @t168 (or @t165 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t14 (tptp.hAPP @t42 @t98)) @t39)))) (=> (not @t168) @t44))))))))) % 0.83/1.09 (assume @p50 (forall @t164 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t160) @t154)) (=> (forall @t8 (=> @t162 (forall @t95 (=> (not (= @t93 @t92)) (=> (tptp.hBOOL (tptp.hAPP @t195 @t159)) @t196))))) @t163)))) % 0.83/1.09 (assume @p51 (forall @t193 (=> @t198 (=> @t108 (tptp.hBOOL (tptp.hAPP @t186 @t29)))))) % 0.83/1.09 (assume @p52 (forall @t193 (=> @t192 (=> @t108 @t187)))) % 0.83/1.09 (assume @p53 (forall @t201 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t200) @t199) (tptp.c_FuncSet_OPi @t31 @t31 @t35 (tptp.c_COMBK @t174 @t31 @t35)))))) % 0.83/1.09 (assume @p54 (forall @t179 (=> @t49 (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Arrow__Order__Mirabelle_Oabove @t39 @t41 @t40)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 0.83/1.09 (assume @p55 (forall @t203 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t160) (forall @t8 (=> @t162 (forall @t95 (=> (forall @t22 @t202) @t196))))))) % 0.83/1.09 (assume @p56 (forall @t203 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t160) (forall @t8 (=> @t162 (forall @t205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t204) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall @t95 (=> (forall @t22 (= @t202 (tptp.hBOOL (tptp.hAPP @t195 (tptp.hAPP @t204 @t9))))) (= @t196 (tptp.hBOOL (tptp.hAPP @t195 (tptp.hAPP @t160 @t204))))))))))))) % 0.83/1.09 (assume @p57 (forall (@list @t101 @t98) (=> @t135 (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t171 @t4) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP @t127 @t4))))))) % 0.83/1.09 (assume @p58 (forall @t210 (=> @t209 @t192))) % 0.83/1.09 (assume @p59 (forall @t210 (=> @t211 @t198))) % 0.83/1.09 (assume @p60 (forall (@list @t40 @t41 @t30 @t31 @t150 @t57) (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t57 @t150 @t31 @t30) @t41) @t40) (tptp.hAPP @t30 (tptp.hAPP (tptp.hAPP @t151 @t41) @t40))))) % 0.83/1.09 (assume @p61 (forall (@list @t29 @t57 @t1 @t2 @t35 @t31) (=> (forall (@list @t213) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t213) @t35)) (= (tptp.hAPP @t2 @t213) (tptp.hAPP @t1 @t213)))) (= @t192 (tptp.hBOOL (tptp.hAPP @t212 @t188)))))) % 0.83/1.09 (assume @p62 (forall (@list @t214 @t1 @t150 @t29 @t35 @t2 @t57 @t31) (=> @t198 (=> @t218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t31 @t150)) @t216) (tptp.c_FuncSet_OPi @t31 @t150 @t35 (tptp.c_COMBK @t215 @t31 @t214)))))))) % 0.83/1.09 (assume @p63 (forall (@list @t221 @t219 @t220 @t214 @t1 @t150 @t29 @t35 @t2 @t57 @t31) (=> @t198 (=> @t218 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t150 @t220)) @t219) (tptp.c_FuncSet_OPi @t150 @t220 @t214 (tptp.c_COMBK (tptp.tc_fun @t220 tptp.tc_HOL_Obool) @t150 @t221)))) (= (tptp.c_FuncSet_Ocompose @t31 @t150 @t220 @t35 @t219 @t216) (tptp.c_FuncSet_Ocompose @t31 @t57 @t220 @t35 (tptp.c_FuncSet_Ocompose @t57 @t150 @t220 @t29 @t219 @t1) @t2))))))) % 0.83/1.09 (assume @p64 (forall (@list @t98 @t74 @t101 @t31) (=> @t226 (=> @t225 @t223)))) % 0.83/1.09 (assume @p65 (forall @t228 (= @t223 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t76 @t98)) @t74)) @t227))))) % 0.83/1.09 (assume @p66 (forall (@list @t101 @t98 @t57 @t31 @t2) (=> @t230 @t229))) % 0.83/1.09 (assume @p67 (forall (@list @t2 @t1 @t57 @t150 @t35 @t41 @t31) (=> @t108 (= (tptp.hAPP @t231 @t41) (tptp.hAPP @t1 @t184))))) % 0.83/1.09 (assume @p68 (forall (@list @t101 @t98 @t2 @t57 @t31) (=> @t229 @t230))) % 0.83/1.09 (assume @p69 (forall @t232 (= (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_Ocurry @t57 @t150 @t31 @t2) @t98) @t101) (tptp.hAPP @t2 @t152)))) % 0.83/1.09 (assume @p70 (forall @t238 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t31 @t237) @t41)) @t233))) % 0.83/1.09 (assume @p71 (forall (@list @t74 @t41 @t31) (=> (forall @t243 (=> @t242 (tptp.hBOOL (tptp.hAPP @t240 @t222)))) @t233))) % 0.83/1.09 (assume @p72 (forall (@list @t56 @t41 @t31) (=> (not (tptp.hBOOL (tptp.hAPP @t107 @t244))) (not (forall @t248 (=> @t247 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t245) @t244)))))))) % 0.83/1.09 (assume @p73 (forall (@list @t1 @t2 @t35 @t150 @t57 @t31) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t190 (tptp.c_FuncSet_Ocompose @t31 @t150 @t57 @t35 @t2 @t1)) @t249)))) % 0.83/1.09 (assume @p74 (forall (@list @t101 @t74 @t98 @t31) (=> @t223 (=> @t253 @t226)))) % 0.83/1.09 (assume @p75 (forall (@list @t74 @t98 @t101 @t31) (=> @t253 (=> @t223 @t226)))) % 0.83/1.09 (assume @p76 (forall @t265 (= (tptp.hBOOL (tptp.hAPP @t264 @t262)) (exists @t263 (and (= @t262 @t260) @t258))))) % 0.83/1.09 (assume @p77 (forall (@list @t57 @t98 @t41 @t31 @t266 @t267) (=> (tptp.hBOOL (tptp.hAPP @t270 @t267)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t268 @t266) @t267) @t98) @t41) (tptp.hAPP @t266 @t41))))) % 0.83/1.09 (assume @p78 (forall (@list @t1 @t41 @t74 @t2 @t57 @t31) (= (= @t272 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t268 @t1) @t74) @t41)) (forall @t243 (=> @t242 (= (tptp.hAPP @t2 @t239) (tptp.hAPP @t1 @t239))))))) % 0.83/1.09 (assume @p79 (forall @t277 (=> @t276 (=> @t275 @t274)))) % 0.83/1.09 (assume @p80 (forall @t278 (= @t274 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t4) @t98)) (tptp.hBOOL (tptp.hAPP @t273 @t4))))))) % 0.83/1.09 (assume @p81 (forall (@list @t2 @t57 @t74 @t98 @t41 @t31) (=> @t280 (= (tptp.hAPP @t279 @t41) @t184)))) % 0.83/1.09 (assume @p82 (forall @t228 (tptp.hBOOL (tptp.hAPP @t281 @t250)))) % 0.83/1.09 (assume @p83 (forall @t285 (=> @t284 (tptp.hBOOL (tptp.hAPP @t283 @t250))))) % 0.83/1.09 (assume @p84 (forall @t292 (=> @t291 @t290))) % 0.83/1.09 (assume @p85 (forall @t292 (=> @t291 (=> @t293 @t287)))) % 0.83/1.09 (assume @p86 (forall @t292 (=> @t225 @t290))) % 0.83/1.09 (assume @p87 (forall @t296 (=> @t198 (=> @t295 (= (tptp.c_FuncSet_Ocompose @t31 @t57 @t57 @t35 (tptp.c_FuncSet_Orestrict @t57 @t57 @t294 @t29) @t2) @t2))))) % 0.83/1.09 (assume @p88 (forall (@list @t29 @t35 @t1 @t57 @t31) (=> (tptp.hBOOL (tptp.hAPP @t212 @t197)) (=> @t297 (= (tptp.c_FuncSet_Ocompose @t31 @t31 @t57 @t35 @t1 (tptp.c_FuncSet_Orestrict @t31 @t31 @t199 @t35)) @t1))))) % 0.83/1.09 (assume @p89 (forall @t300 (tptp.c_Recdef_Oadm__wf @t31 @t57 @t56 @t299))) % 0.83/1.09 (assume @p90 (forall (@list @t2 @t1 @t35 @t57 @t150 @t31) (= @t231 (tptp.c_FuncSet_Orestrict @t31 @t57 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t150 @t57 @t31) @t1) @t2) @t35)))) % 0.83/1.09 (assume @p91 (forall @t302 (=> @t295 (= @t301 @t2)))) % 0.83/1.09 (assume @p92 (forall @t302 (tptp.hBOOL (tptp.hAPP @t303 @t249)))) % 0.83/1.09 (assume @p93 (forall @t82 (= (tptp.c_Transitive__Closure_Ortrancl @t31 @t250) @t250))) % 0.83/1.09 (assume @p94 (forall @t210 (=> @t209 (tptp.hBOOL (tptp.hAPP @t303 @t188))))) % 0.83/1.09 (assume @p95 (forall @t210 (=> @t211 (tptp.hBOOL (tptp.hAPP @t303 @t197))))) % 0.83/1.09 (assume @p96 (forall @t310 (=> (tptp.c_Relation_Osingle__valued @t31 @t31 @t74) (=> @t309 (=> @t307 (or (tptp.hBOOL (tptp.hAPP @t305 @t250)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP (tptp.hAPP @t75 @t45) @t40)) @t250)))))))) % 0.83/1.09 (assume @p97 (forall @t300 (= @t311 (forall (@list @t266 @t254 @t4) (=> (forall @t248 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t246 @t4)) @t56)) (= (tptp.hAPP @t266 @t245) @t255))) (= (tptp.hAPP (tptp.hAPP @t160 @t266) @t4) (tptp.hAPP @t259 @t4))))))) % 0.83/1.09 (assume @p98 (forall (@list @t2 @t57 @t74 @t41 @t40 @t31) (and (=> @t315 (= @t313 @t316)) (=> (not @t315) (= @t313 @t312))))) % 0.83/1.09 (assume @p99 (forall (@list @t40 @t56 @t41 @t31) (=> (not (tptp.hBOOL (tptp.hAPP @t107 (tptp.c_Relation_ODomain @t31 @t31 @t56)))) (= @t318 @t48)))) % 0.83/1.09 (assume @p100 (forall (@list @t74 @t320 @t321 @t324 @t325 @t57 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t327 @t322)) @t319)) (=> (not (= @t326 @t322)) (not (forall @t95 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t327 @t94)) @t74)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t323 @t322)) @t319)))))))))) % 0.83/1.09 (assume @p101 (forall @t343 (=> @t342 (=> @t340 (=> (forall (@list @t93 @t92 @t333 @t332) (=> @t339 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP (tptp.hAPP @t67 @t338) @t337)) @t319)) (=> @t334 @t331)))) @t330))))) % 0.83/1.09 (assume @p102 (forall (@list @t2 @t57 @t35 @t41 @t31) (and (=> @t108 (= @t344 @t184)) (=> @t182 (= @t344 @t312))))) % 0.83/1.09 (assume @p103 (forall (@list @t41 @t35 @t2 @t57 @t31) (=> @t295 (=> @t182 @t345)))) % 0.83/1.09 (assume @p104 (forall @t349 (=> @t348 @t347))) % 0.83/1.09 (assume @p105 (forall @t351 (= @t347 (exists @t243 @t350)))) % 0.83/1.09 (assume @p106 (forall (@list @t45 @t40 @t41 @t74 @t57 @t31) (=> @t352 (=> (tptp.hBOOL (tptp.hAPP @t63 @t74)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t59 @t45)) @t74)) @t50))))) % 0.83/1.09 (assume @p107 (forall @t356 (= @t352 @t355))) % 0.83/1.09 (assume @p108 (forall @t358 (= (tptp.c_Predicate_ODomainP @t31 @t57 @t357 @t41) (tptp.hBOOL (tptp.hAPP @t107 @t346))))) % 0.83/1.09 (assume @p109 (forall @t343 (=> @t342 (=> @t330 (=> (forall @t95 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.hAPP @t341 @t94)) @t319)) (forall (@list @t333 @t332) (=> @t339 (=> @t331 @t334))))) @t340))))) % 0.83/1.09 (assume @p110 (forall @t364 (=> @t363 (=> @t360 @t345)))) % 0.83/1.09 (assume @p111 (forall @t365 (=> @t275 (tptp.c_Predicate_ODomainP @t31 @t57 @t74 @t98)))) % 0.83/1.09 (assume @p112 (forall @t364 (=> @t363 (=> @t359 (tptp.hBOOL (tptp.hAPP @t186 @t361)))))) % 0.83/1.09 (assume @p113 (forall @t82 (= (tptp.c_Relation_Oirrefl @t31 @t74) (forall @t8 (not @t81))))) % 0.83/1.09 (assume @p114 (forall @t351 (=> @t347 (not (forall @t243 (not @t350)))))) % 0.83/1.09 (assume @p115 (forall @t349 (=> @t348 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t101) @t366))))) % 0.83/1.09 (assume @p116 (forall @t368 (= (tptp.hBOOL (tptp.hAPP @t308 @t367)) (and @t48 @t108)))) % 0.83/1.09 (assume @p117 (forall @t104 (=> @t103 (=> @t100 (tptp.hBOOL (tptp.hAPP @t224 @t367)))))) % 0.83/1.09 (assume @p118 (forall @t265 (= (tptp.hBOOL (tptp.hAPP @t264 @t261)) (exists @t263 (and (= @t261 @t260) @t258))))) % 0.83/1.09 (assume @p119 (forall (@list @t1 @t160 @t57 @t56 @t41 @t31) (=> (forall @t248 (=> @t247 (tptp.hBOOL (tptp.hAPP @t256 (tptp.hAPP @t1 @t245))))) (tptp.hBOOL (tptp.hAPP @t369 (tptp.hAPP (tptp.hAPP @t160 @t1) @t41)))))) % 0.83/1.09 (assume @p120 (forall @t201 (= (tptp.c_Relation_ORange @t31 @t31 @t367) @t35))) % 0.83/1.09 (assume @p121 (forall @t201 (= (tptp.c_Relation_ODomain @t31 @t31 @t367) @t35))) % 0.83/1.09 (assume @p122 (forall @t201 (tptp.c_Relation_Osingle__valued @t31 @t31 @t367))) % 0.83/1.09 (assume @p123 (forall @t351 (= (tptp.hBOOL (tptp.hAPP @t99 @t373)) (exists @t243 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t372 (tptp.hAPP (tptp.hAPP @t370 @t239) @t98)) @t74)))))) % 0.83/1.09 (assume @p124 (forall @t358 (= (tptp.c_Predicate_ORangeP @t31 @t57 @t357 @t41) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t41) @t366))))) % 0.83/1.09 (assume @p125 (forall (@list @t35 @t30 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 @t30) @t367)) (not (forall @t8 (=> @t208 (not (= @t30 @t77)))))))) % 0.83/1.09 (assume @p126 (forall (@list @t74 @t57 @t101 @t31) (=> (tptp.hBOOL (tptp.hAPP @t102 @t373)) (not (forall @t8 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t372 (tptp.hAPP (tptp.hAPP @t370 @t4) @t101)) @t74)))))))) % 0.83/1.09 (assume @p127 (forall (@list @t1 @t35 @t2 @t57 @t31) (=> @t295 (=> @t297 (=> (forall @t8 (=> @t208 @t7)) @t3))))) % 0.83/1.09 (assume @p128 (forall @t356 (=> @t355 @t352))) % 0.83/1.09 (assume @p129 (forall (@list @t361 @t137 @t57 @t31) (= @t362 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t374 (tptp.c_FuncSet_OPi @t31 @t57 @t137 (tptp.c_COMBK @t143 @t31 @t361)) (tptp.c_FuncSet_Oextensional @t31 @t57 @t137))))) % 0.83/1.09 (assume @p130 (forall @t376 (=> @t291 (=> @t135 (not (forall @t243 (=> @t375 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t241 @t101)) @t74)))))))))) % 0.83/1.09 (assume @p131 (forall (@list @t31 @t29 @t41 @t35) (=> @t111 (=> @t379 @t378)))) % 0.83/1.09 (assume @p132 (forall @t380 (=> @t378 (not (=> @t111 (not @t379)))))) % 0.83/1.09 (assume @p133 (forall @t365 (=> @t275 (tptp.c_Predicate_ORangeP @t31 @t57 @t74 @t101)))) % 0.83/1.09 (assume @p134 (forall @t382 (=> @t36 (=> @t34 @t381)))) % 0.83/1.09 (assume @p135 (forall @t382 (=> @t381 (not @t37)))) % 0.83/1.09 (assume @p136 (forall (@list @t261 @t74 @t57 @t31) (= (tptp.c_Predicate_ORangeP @t31 @t57 @t74 @t261) (exists (@list @t93) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t93) @t261)))))) % 0.83/1.09 (assume @p137 (forall @t201 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t35 @t35) @t35))) % 0.83/1.09 (assume @p138 (forall @t383 (= @t377 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t29 @t35)))) % 0.83/1.09 (assume @p139 (forall @t383 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t35 @t377) @t377))) % 0.83/1.09 (assume @p140 (forall @t386 (= @t385 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t29 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t35 @t214))))) % 0.83/1.09 (assume @p141 (forall @t386 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t377 @t214) @t385))) % 0.83/1.09 (assume @p142 (forall @t380 (=> @t378 @t111))) % 0.83/1.09 (assume @p143 (forall @t380 (=> @t378 @t379))) % 0.83/1.09 (assume @p144 (forall @t382 (= @t381 (and @t36 @t34)))) % 0.83/1.09 (assume @p145 (forall @t382 (=> @t381 @t36))) % 0.83/1.09 (assume @p146 (forall @t382 (=> @t381 @t34))) % 0.83/1.09 (assume @p147 (forall (@list @t41 @t137 @t56 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t177 @t176) @t41)) (tptp.hBOOL (tptp.hAPP @t107 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t56 @t137)))))) % 0.83/1.09 (assume @p148 (forall (@list @t41 @t1 @t2 @t57 @t31) (=> @t389 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t388 @t2 @t1) @t41) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t184 @t387))))) % 0.83/1.09 (assume @p149 (forall @t395 (=> @t291 (=> @t394 (=> (forall @t243 (=> @t375 (forall @t248 (=> @t393 (=> @t392 @t391))))) @t390))))) % 0.83/1.09 (assume @p150 (forall @t395 (=> @t291 (=> @t390 (=> (forall (@list @t239 @t245) (=> @t393 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t246 @t101)) @t250)) (=> @t391 @t392)))) @t394))))) % 0.83/1.09 (assume @p151 (forall @t398 (=> @t307 (=> @t47 (not (forall @t243 (=> @t397 (not (tptp.hBOOL (tptp.hAPP @t396 @t250)))))))))) % 0.83/1.09 (assume @p152 (forall (@list @t74 @t35 @t31) (= (tptp.c_Relation_Ototal__on @t31 @t35 @t74) (forall @t8 (=> @t208 (forall @t205 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t32 @t204) @t35)) (=> (not (= @t4 @t204)) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t76 @t204)) @t74)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP (tptp.hAPP @t75 @t204) @t4)) @t74))))))))))) % 0.83/1.09 (assume @p153 (forall (@list @t40 @t41 @t137 @t56 @t57 @t31) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t399 @t146 @t145) @t41) @t40)) (tptp.hBOOL (tptp.hAPP @t63 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t139 @t56 @t137)))))) % 0.83/1.09 (assume @p154 (forall (@list @t116 @t31) (=> @t400 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t116 @t116) @t116)))) % 0.83/1.09 (assume @p155 (forall @t402 (=> @t400 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t401 @t401) @t401)))) % 0.83/1.09 (assume @p156 (forall @t404 (=> @t400 (= @t403 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t114 @t116))))) % 0.83/1.09 (assume @p157 (forall @t408 (=> @t389 @t407))) % 0.83/1.09 (assume @p158 (forall @t408 (=> @t400 @t407))) % 0.83/1.09 (assume @p159 (forall @t404 (=> @t400 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t116 @t403) @t403)))) % 0.83/1.09 (assume @p160 (forall @t408 (=> @t389 @t409))) % 0.83/1.09 (assume @p161 (forall @t408 (=> @t400 @t409))) % 0.83/1.09 (assume @p162 (forall @t412 (=> @t400 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t114 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t116 @t410)) @t411)))) % 0.83/1.09 (assume @p163 (forall @t417 (=> @t389 @t416))) % 0.83/1.09 (assume @p164 (forall @t417 (=> @t400 @t416))) % 0.83/1.09 (assume @p165 (forall @t418 (=> @t400 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t403 @t410) @t411)))) % 0.83/1.09 (assume @p166 (forall @t417 (=> @t389 @t419))) % 0.83/1.09 (assume @p167 (forall @t417 (=> @t400 @t419))) % 0.83/1.09 (assume @p168 (forall (@list @t2 @t74 @t57 @t40 @t41 @t31) (= (tptp.hBOOL (tptp.hAPP @t308 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t57 @t31) @t74) @t2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t71 (tptp.hAPP (tptp.hAPP @t69 @t184) @t316)) @t74))))) % 0.83/1.09 (assume @p169 (forall (@list @t98 @t74 @t35 @t31) (=> @t421 (=> @t100 @t420)))) % 0.83/1.09 (assume @p170 (forall @t423 (=> @t421 (=> @t422 @t106)))) % 0.83/1.09 (assume @p171 (forall @t423 (=> @t421 (=> @t422 @t108)))) % 0.83/1.09 (assume @p172 (forall @t376 (=> @t425 @t291))) % 0.83/1.09 (assume @p173 (forall @t427 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp @t31 @t237) @t41) @t325)) (tptp.hBOOL (tptp.hAPP @t426 @t250))))) % 0.83/1.09 (assume @p174 (forall @t278 (tptp.hBOOL (tptp.hAPP @t429 @t98)))) % 0.83/1.09 (assume @p175 (forall (@list @t31 @t40 @t41 @t74) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t74 @t41) @t40)) @t431))) % 0.83/1.09 (assume @p176 (forall (@list @t57 @t31 @t29 @t40 @t41 @t35) (=> @t434 (=> @t433 @t432)))) % 0.83/1.09 (assume @p177 (forall @t435 (=> @t432 (not (=> @t434 (not @t433)))))) % 0.83/1.09 (assume @p178 (forall @t376 (=> @t225 @t425))) % 0.83/1.09 (assume @p179 (forall @t435 (=> @t432 @t434))) % 0.83/1.09 (assume @p180 (forall @t435 (=> @t432 @t433))) % 0.83/1.09 (assume @p181 (forall @t82 (= (tptp.c_Transitive__Closure_Ortranclp @t31 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t436 @t74 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t174 @t174 @t31) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t31) tptp.c_fNot)) tptp.c_fequal))) @t428))) % 0.83/1.09 (assume @p182 (forall @t82 (= (tptp.c_Transitive__Closure_Ortranclp @t31 @t428) @t428))) % 0.83/1.09 (assume @p183 (forall @t442 (= (tptp.hBOOL (tptp.hAPP @t440 @t437)) (or (= @t437 @t257) (exists @t441 (and (tptp.hBOOL (tptp.hAPP @t440 @t92)) @t439)))))) % 0.83/1.09 (assume @p184 (forall @t446 (=> @t275 (=> @t445 @t443)))) % 0.83/1.09 (assume @p185 (forall @t449 (=> @t448 (=> @t447 @t443)))) % 0.83/1.09 (assume @p186 (forall @t310 (=> @t431 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t428 @t40) @t45)) (tptp.hBOOL (tptp.hAPP @t430 @t45)))))) % 0.83/1.09 (assume @p187 (forall @t285 (=> @t284 @t450))) % 0.83/1.09 (assume @p188 (forall @t451 (= (tptp.c_Transitive__Closure_Otrancl @t31 @t317) @t317))) % 0.83/1.09 (assume @p189 (forall @t451 (= (tptp.c_Transitive__Closure_Ortrancl @t31 @t452) @t317))) % 0.83/1.09 (assume @p190 (forall @t82 (= (tptp.c_Relation_ODomain @t31 @t31 @t424) (tptp.c_Relation_ODomain @t31 @t31 @t74)))) % 0.83/1.09 (assume @p191 (forall @t82 (= (tptp.c_Relation_ORange @t31 @t31 @t424) (tptp.c_Relation_ORange @t31 @t31 @t74)))) % 0.83/1.09 (assume @p192 (forall @t454 (=> @t274 (=> @t453 @t276)))) % 0.83/1.09 (assume @p193 (forall @t277 (=> @t453 (=> @t274 @t276)))) % 0.83/1.09 (assume @p194 (forall (@list @t156 @t29 @t74 @t35 @t31) (=> @t421 (=> (tptp.c_Relation_Orefl__on @t31 @t29 @t156) (tptp.c_Relation_Orefl__on @t31 @t377 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t234 @t74 @t156)))))) % 0.83/1.09 (assume @p195 (forall @t201 (tptp.c_Relation_Orefl__on @t31 @t35 @t367))) % 0.83/1.09 (assume @p196 (forall (@list @t30 @t56 @t101 @t98 @t31) (=> (tptp.hBOOL (tptp.hAPP @t224 @t56)) (=> (tptp.hBOOL (tptp.hAPP @t288 @t56)) (tptp.hBOOL (tptp.hAPP @t286 @t452)))))) % 0.83/1.09 (assume @p197 (forall @t292 (=> @t225 @t456))) % 0.83/1.09 (assume @p198 (forall @t292 (=> @t425 @t457))) % 0.83/1.09 (assume @p199 (forall @t292 (=> @t425 @t456))) % 0.83/1.09 (assume @p200 (forall @t459 (= @t318 (or @t48 (and @t49 @t458))))) % 0.83/1.09 (assume @p201 (forall @t292 (=> @t225 @t460))) % 0.83/1.09 (assume @p202 (forall (@list @t56 @t101 @t98 @t31) (=> (tptp.hBOOL (tptp.hAPP @t224 @t317)) (or @t103 (and @t135 (tptp.hBOOL (tptp.hAPP @t224 @t452))))))) % 0.83/1.09 (assume @p203 (forall @t292 (=> @t291 @t457))) % 0.83/1.09 (assume @p204 (forall @t292 (=> @t425 @t460))) % 0.83/1.09 (assume @p205 (forall (@list @t45 @t74 @t40 @t41 @t31) (=> @t309 (=> (tptp.hBOOL (tptp.hAPP @t305 @t424)) @t461)))) % 0.83/1.09 (assume @p206 (forall @t459 (=> @t458 (exists @t248 (and (tptp.hBOOL (tptp.hAPP @t463 @t317)) (tptp.hBOOL (tptp.hAPP @t462 @t56))))))) % 0.83/1.09 (assume @p207 (forall @t459 (=> @t458 (exists @t248 (and (tptp.hBOOL (tptp.hAPP @t463 @t56)) (tptp.hBOOL (tptp.hAPP @t462 @t317))))))) % 0.83/1.09 (assume @p208 (forall @t82 (= @t465 @t464))) % 0.83/1.09 (assume @p209 (forall (@list @t40 @t41 @t74 @t31) (=> @t464 (=> @t422 @t49)))) % 0.83/1.09 (assume @p210 (forall @t398 (=> @t461 (=> (not (tptp.hBOOL (tptp.hAPP @t306 @t74))) (not (forall @t243 (=> @t397 (not (tptp.hBOOL (tptp.hAPP @t396 @t424)))))))))) % 0.83/1.09 (assume @p211 (forall @t82 (=> @t464 @t465))) % 0.83/1.09 (assume @p212 (forall @t468 (= (tptp.c_Wellfounded_Oacyclic @t31 @t467) (and @t465 @t466)))) % 0.83/1.09 (assume @p213 (forall @t376 (=> @t425 (=> (not @t225) (not (forall (@list @t469) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t157 @t469)) @t424)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP (tptp.hAPP @t75 @t469) @t101)) @t74)))))))))) % 0.83/1.09 (assume @p214 (forall @t427 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Otranclp @t31 @t237) @t41) @t325)) (tptp.hBOOL (tptp.hAPP @t426 @t424))))) % 0.83/1.09 (assume @p215 (forall (@list @t31 @t101 @t98 @t74) (=> @t275 @t472))) % 0.83/1.09 (assume @p216 (forall @t474 (=> @t473 (=> @t135 @t100)))) % 0.83/1.09 (assume @p217 (forall @t478 (=> (=> (not @t477) @t103) @t476))) % 0.83/1.09 (assume @p218 (forall @t482 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t481 @t480) @t479))) % 0.83/1.09 (assume @p219 (forall @t112 (= (tptp.c_Set_Oinsert @t31 @t41 @t483) @t483))) % 0.83/1.09 (assume @p220 (forall @t368 (= (tptp.c_Set_Oinsert @t31 @t41 @t484) (tptp.c_Set_Oinsert @t31 @t40 @t483)))) % 0.83/1.09 (assume @p221 (forall (@list @t41 @t35 @t40 @t31) (= (tptp.hBOOL (tptp.hAPP @t484 @t41)) (or (= @t40 @t41) @t111)))) % 0.83/1.09 (assume @p222 (forall (@list @t261 @t257 @t74 @t31) (= (tptp.hBOOL (tptp.hAPP @t485 @t261)) (or (tptp.hBOOL (tptp.hAPP @t487 @t261)) (exists @t441 (and @t486 (tptp.hBOOL (tptp.hAPP @t438 @t261)))))))) % 0.83/1.09 (assume @p223 (forall @t442 (= (tptp.hBOOL (tptp.hAPP @t485 @t437)) (or (tptp.hBOOL (tptp.hAPP @t487 @t437)) (exists @t441 (and @t486 @t439)))))) % 0.83/1.09 (assume @p224 (forall @t446 (=> @t275 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t470 @t101) @t30)) @t488)))) % 0.83/1.09 (assume @p225 (forall @t449 (=> @t472 @t489))) % 0.83/1.09 (assume @p226 (forall @t310 (=> (tptp.hBOOL (tptp.hAPP @t490 @t40)) @t491))) % 0.83/1.09 (assume @p227 (forall (@list @t35 @t98 @t31) (=> @t100 (= @t481 @t35)))) % 0.83/1.09 (assume @p228 (forall @t478 (=> @t477 @t476))) % 0.83/1.09 (assume @p229 (forall @t493 (=> @t182 (=> (not @t109) (= (= @t483 @t492) @t38))))) % 0.83/1.09 (assume @p230 (forall @t474 (= @t473 (or @t103 @t100)))) % 0.83/1.09 (assume @p231 (forall (@list @t29 @t98 @t31) (tptp.hBOOL (tptp.hAPP @t99 @t480)))) % 0.83/1.09 (assume @p232 (forall (@list @t74 @t101 @t98 @t31 @t57) (= (tptp.c_Relation_ORange @t57 @t31 (tptp.c_Set_Oinsert @t371 (tptp.hAPP (tptp.hAPP @t370 @t98) @t101) @t74)) (tptp.c_Set_Oinsert @t31 @t101 @t373)))) % 0.83/1.09 (assume @p233 (forall @t349 (= (tptp.c_Relation_ODomain @t31 @t57 (tptp.c_Set_Oinsert @t61 @t122 @t74)) (tptp.c_Set_Oinsert @t31 @t98 @t346)))) % 0.83/1.09 (assume @p234 (forall @t446 (=> @t275 @t494))) % 0.83/1.09 (assume @p235 (forall (@list @t101 @t98 @t56 @t31) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t495 @t98) @t101)) (or @t103 (and @t135 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Otranclp @t31 @t56) @t98) @t101))))))) % 0.83/1.09 (assume @p236 (forall @t454 (=> @t472 @t448))) % 0.83/1.09 (assume @p237 (forall @t449 (=> @t448 @t489))) % 0.83/1.09 (assume @p238 (forall @t449 (=> @t472 @t494))) % 0.83/1.09 (assume @p239 (forall @t310 (=> @t431 @t491))) % 0.83/1.09 (assume @p240 (forall @t499 @t498)) % 0.83/1.09 (assume @p241 (forall @t482 @t501)) % 0.83/1.09 (assume @p242 (forall @t499 @t502)) % 0.83/1.09 (assume @p243 (forall @t482 @t504)) % 0.83/1.09 (assume @p244 (forall @t499 (and @t498 @t502))) % 0.83/1.09 (assume @p245 (forall @t482 (and @t501 @t504))) % 0.83/1.09 (assume @p246 (forall (@list @t361 @t2 @t57 @t137 @t41 @t31) (=> @t360 (=> (tptp.hBOOL (tptp.hAPP @t191 (tptp.c_FuncSet_Oextensional__funcset @t31 @t57 (tptp.c_Set_Oinsert @t31 @t41 @t137) @t361))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t190 (tptp.c_Fun_Ofun__upd @t31 @t57 @t2 @t41 @t312)) @t362)))))) % 0.83/1.09 (assume @p247 (forall (@list @t41 @t137 @t2 @t57 @t361 @t40 @t31) (=> (tptp.hBOOL (tptp.hAPP @t105 @t361)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t2) (tptp.c_FuncSet_Oextensional__funcset @t57 @t31 @t137 @t361))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t506 @t505) (tptp.c_FuncSet_Oextensional__funcset @t57 @t31 (tptp.c_Set_Oinsert @t57 @t41 @t137) @t361))))))) % 0.83/1.09 (assume @p248 (forall @t468 (= (tptp.c_Wellfounded_Owf @t31 @t467) (and @t507 @t466)))) % 0.83/1.09 (assume @p249 (forall @t82 (=> @t465 (tptp.c_Relation_Oantisym @t31 @t250)))) % 0.83/1.09 (assume @p250 (forall (@list @t2 @t57 @t74 @t31) (=> @t507 (tptp.c_Wellfounded_Owf @t57 (tptp.hAPP (tptp.hAPP @t508 @t74) @t2))))) % 0.83/1.09 (assume @p251 (forall (@list @t509 @t57 @t510 @t31) (=> (tptp.c_Wellfounded_Owf @t31 @t510) (=> (tptp.c_Wellfounded_Owf @t57 @t509) (tptp.c_Wellfounded_Owf @t61 (tptp.c_Wellfounded_Olex__prod @t31 @t57 @t510 @t509)))))) % 0.83/1.09 (assume @p252 (forall @t82 (=> @t507 (tptp.c_Wellfounded_Owf @t31 @t424)))) % 0.83/1.09 (assume @p253 (forall @t512 (=> @t507 (tptp.c_Wellfounded_Owf @t31 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t234 @t511 @t74))))) % 0.83/1.09 (assume @p254 (forall @t512 (=> @t507 (tptp.c_Wellfounded_Owf @t31 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t234 @t74 @t511))))) % 0.83/1.09 (assume @p255 (forall @t82 (=> @t507 @t465))) % 0.83/1.09 (assume @p256 (forall @t278 (=> @t507 (not @t420)))) % 0.83/1.09 (assume @p257 (forall (@list @t41 @t98 @t74 @t31) (=> @t507 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t79 (tptp.hAPP @t157 @t41)) @t74)) (not @t280))))) % 0.83/1.09 (assume @p258 (forall @t82 (= @t507 @t513))) % 0.83/1.09 (assume @p259 (forall @t238 (=> @t507 @t233))) % 0.83/1.09 (assume @p260 (forall @t201 (tptp.c_Relation_Oantisym @t31 @t367))) % 0.83/1.09 (assume @p261 (forall @t454 (=> @t514 (=> @t225 (=> (tptp.hBOOL (tptp.hAPP @t252 @t74)) @t103))))) % 0.83/1.09 (assume @p262 (forall @t82 (= @t514 @t516))) % 0.83/1.09 (assume @p263 (forall (@list @t41 @t2 @t57 @t31) (= (tptp.c_Fun_Ofun__upd @t31 @t57 @t2 @t41 @t184) @t2))) % 0.83/1.09 (assume @p264 (forall (@list @t2 @t31) (tptp.c_Wellfounded_Owf @t31 @t518))) % 0.83/1.09 (assume @p265 (forall (@list @t57 @t31 @t519 @t267) (=> (tptp.c_Wellfounded_Owf @t31 @t267) (forall @t8 (= (tptp.hAPP @t520 @t4) (tptp.hAPP (tptp.hAPP @t519 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t268 @t520) @t267) @t4)) @t4)))))) % 0.83/1.09 (assume @p266 (forall (@list @t98 @t521 @t57 @t74 @t31) (=> @t507 (= (tptp.hAPP @t522 @t98) (tptp.hAPP (tptp.hAPP @t521 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t268 @t522) @t74) @t98)) @t98))))) % 0.83/1.09 (assume @p267 (forall (@list @t31 @t57 @t40 @t41 @t2) (=> @t523 (= @t505 @t2)))) % 0.83/1.09 (assume @p268 (forall @t528 @t527)) % 0.83/1.09 (assume @p269 (forall (@list @t529 @t101 @t530 @t57 @t31 @t30 @t98) (=> (not (= @t98 @t30)) (= (tptp.c_Fun_Ofun__upd @t31 @t57 (tptp.c_Fun_Ofun__upd @t31 @t57 @t530 @t98 @t101) @t30 @t529) (tptp.c_Fun_Ofun__upd @t31 @t57 (tptp.c_Fun_Ofun__upd @t31 @t57 @t530 @t30 @t529) @t98 @t101))))) % 0.83/1.09 (assume @p270 (forall @t528 (and (=> @t526 (= @t525 @t40)) @t527))) % 0.83/1.09 (assume @p271 (forall (@list @t40 @t41 @t2 @t31 @t57) (= (tptp.hAPP @t505 @t41) @t40))) % 0.83/1.09 (assume @p272 (forall (@list @t45 @t40 @t41 @t2 @t57 @t31) (= (tptp.c_Fun_Ofun__upd @t31 @t57 @t524 @t41 @t45) (tptp.c_Fun_Ofun__upd @t31 @t57 @t2 @t41 @t45)))) % 0.83/1.09 (assume @p273 (forall (@list @t40 @t41 @t2 @t57 @t31) (= (= @t524 @t2) @t523))) % 0.83/1.09 (assume @p274 (forall (@list @t101 @t2 @t57 @t31 @t98 @t41) (and (=> @t165 (= @t531 @t101)) (=> @t166 (= @t531 @t184))))) % 0.83/1.09 (assume @p275 (forall (@list @t98 @t521 @t74 @t57 @t31 @t2) (=> (= @t2 @t522) (=> @t507 (= @t532 (tptp.hAPP (tptp.hAPP @t521 @t279) @t98)))))) % 0.83/1.09 (assume @p276 (forall @t537 (= (tptp.hAPP (tptp.c_Recdef_Owfrec @t57 @t31 @t56 @t160) @t41) (tptp.c_HOL_OThe @t31 (tptp.c_Recdef_Owfrec__rel @t57 @t31 @t56 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t388 @t536 @t388) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t534 (tptp.tc_fun @t536 @t388) @t388) (tptp.c_COMBS @t57 @t57 @t31)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t534 @t534 @t388) (tptp.hAPP (tptp.c_COMBB @t388 @t388 @t57) @t160)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t388 @t535 @t534) @t533) @t56)))) @t294) @t41))))) % 0.83/1.09 (assume @p277 (forall (@list @t31 @t56 @t57 @t64) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t64 @t4)) (tptp.c_Wellfounded_Owf @t57 (tptp.hAPP @t56 @t4)))) (tptp.c_Wellfounded_Owf @t61 @t65)))) % 0.83/1.09 (assume @p278 (forall (@list @t41 @t160 @t56 @t57 @t31) (=> @t311 (=> @t538 (exists @t8 (and (tptp.hBOOL (tptp.hAPP @t369 @t4)) (forall @t243 (=> (tptp.hBOOL (tptp.hAPP @t369 @t239)) (= @t239 @t4))))))))) % 0.83/1.09 (assume @p279 (forall (@list @t41 @t160 @t57 @t56 @t31) (and (=> @t538 (= @t539 (tptp.c_Nitpick_Owf__wfrec_H @t31 @t57 @t56 @t160 @t41))) (=> (not @t538) (= @t539 (tptp.c_HOL_OThe @t57 (tptp.c_Recdef_Owfrec__rel @t31 @t57 @t56 @t299 @t41))))))) % 0.83/1.09 (assume @p280 (forall (@list @t41 @t31) (= (tptp.c_HOL_OThe @t31 @t540) @t41))) % 0.83/1.09 (assume @p281 (forall (@list @t98 @t31) (= (tptp.c_HOL_OThe @t31 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t31 @t31 tptp.tc_HOL_Obool) tptp.c_fequal) @t98)) @t98))) % 0.83/1.09 (assume @p282 (forall @t537 (= (tptp.c_Nitpick_Owf__wfrec_H @t57 @t31 @t56 @t160 @t41) (tptp.hAPP (tptp.hAPP @t160 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t533 (tptp.c_Nitpick_Owf__wfrec @t57 @t31 @t56 @t160)) @t56) @t41)) @t41)))) % 0.83/1.09 (assume @p283 (forall @t82 (= (tptp.c_Wellfounded_OwfP @t31 @t237) @t507))) % 0.83/1.09 (assume @p284 (forall @t82 (= @t507 (forall (@list @t541) (=> (exists @t8 @t542) (exists @t8 (and @t542 (forall @t243 (=> @t515 (not (tptp.hBOOL (tptp.hAPP @t240 @t541)))))))))))) % 0.83/1.09 (assume @p285 (forall @t543 (tptp.c_Wellfounded_OwfP @t31 (tptp.c_COMBK @t174 @t31 (tptp.c_COMBK tptp.tc_HOL_Obool @t31 tptp.c_fFalse))))) % 0.83/1.09 (assume @p286 (forall @t238 (=> @t544 (tptp.hBOOL (tptp.hAPP @t273 @t41))))) % 0.83/1.09 (assume @p287 (forall @t82 (= @t544 (forall @t97 (tptp.hBOOL (tptp.hAPP @t273 @t96)))))) % 0.83/1.09 (assume @p288 (forall @t82 (=> @t544 (tptp.c_Wellfounded_OwfP @t31 @t470)))) % 0.83/1.09 (assume @p289 (forall @t451 (=> @t538 (tptp.c_Wellfounded_OwfP @t31 (tptp.c_FunDef_Oin__rel @t31 @t31 @t56))))) % 0.83/1.09 (assume @p290 (forall (@list @t41 @t2 @t35 @t57 @t31) (= (tptp.c_Fun_Othe__inv__into @t31 @t57 @t35 @t2 @t41) (tptp.c_HOL_OThe @t31 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t31 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) @t31) tptp.c_fconj) (tptp.hAPP @t175 @t35))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t31 @t57 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t57 @t143 @t31) tptp.c_fequal) @t2)) @t41)))))) % 0.83/1.09 (assume @p291 (forall @t82 (=> @t513 @t507))) % 0.83/1.09 (assume @p292 (forall @t82 (=> @t516 @t514))) % 0.83/1.09 (assume @p293 (forall (@list @t2 @t40 @t41 @t31) (= (tptp.hBOOL (tptp.hAPP @t308 @t518)) @t545))) % 0.83/1.09 (assume @p294 (forall @t549 (and @t548 @t547))) % 0.83/1.09 (assume @p295 (forall @t543 (= @t517 (tptp.hAPP (tptp.c_Relation_Oinv__image tptp.tc_Nat_Onat @t31) tptp.c_Wellfounded_Oless__than)))) % 0.83/1.09 (assume @p296 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than)) % 0.83/1.09 (assume @p297 (forall @t553 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t552 (tptp.hAPP (tptp.hAPP @t550 @t41) @t40)) tptp.c_Wellfounded_Oless__than)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t40)))) % 0.83/1.09 (assume @p298 (forall @t555 (=> @t400 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t116 @t401) @t554)))) % 0.83/1.09 (assume @p299 (forall @t556 (=> @t400 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t114 @t401) @t554)))) % 0.83/1.09 (assume @p300 (forall @t549 @t547)) % 0.83/1.09 (assume @p301 (forall @t549 @t548)) % 0.83/1.09 (assume @p302 (forall @t559 (=> @t545 @t558))) % 0.83/1.09 (assume @p303 (forall (@list @t56 @t2 @t31) (= @t557 (tptp.hAPP (tptp.hAPP (tptp.c_Relation_Oinv__image @t560 @t31) (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat @t31 tptp.c_Wellfounded_Oless__than @t56)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t31 @t31 @t560) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat (tptp.tc_fun @t31 @t560) @t31) (tptp.c_Product__Type_OPair tptp.tc_Nat_Onat @t31)) @t2)) @t199))))) % 0.83/1.09 (assume @p304 (= tptp.c_Wellfounded_Oless__than @t561)) % 0.83/1.09 (assume @p305 (forall @t564 (=> @t563 @t562))) % 0.83/1.09 (assume @p306 (tptp.c_Wellfounded_Owf tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat)) % 0.83/1.09 (assume @p307 (forall @t568 (= (tptp.hBOOL (tptp.hAPP @t567 @t561)) @t566))) % 0.83/1.09 (assume @p308 (forall (@list @t2 @t56 @t31) (=> @t538 (tptp.c_Wellfounded_Owf @t31 @t557)))) % 0.83/1.09 (assume @p309 (forall @t575 (=> @t574 @t573))) % 0.83/1.09 (assume @p310 (forall @t575 (=> @t574 @t576))) % 0.83/1.09 (assume @p311 (forall @t568 (= (tptp.hBOOL (tptp.hAPP @t567 (tptp.c_Transitive__Closure_Ortrancl tptp.tc_Nat_Onat tptp.c_Wellfounded_Opred__nat))) @t577))) % 0.83/1.09 (assume @p312 (forall @t386 (=> @t563 @t579))) % 0.83/1.09 (assume @p313 (forall @t581 (=> @t580 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t401 @t405)))) % 0.83/1.09 (assume @p314 (forall @t575 (=> @t582 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t156 @t569) @t576)))) % 0.83/1.09 (assume @p315 (forall @t575 (=> @t582 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t569) @t573)))) % 0.83/1.09 (assume @p316 (tptp.c_Wellfounded_Owf @t551 tptp.c_FunDef_Opair__less)) % 0.83/1.09 (assume @p317 (forall @t408 (=> @t389 @t583))) % 0.83/1.09 (assume @p318 (forall @t408 (=> @t400 @t583))) % 0.83/1.09 (assume @p319 (forall @t408 (=> @t389 @t584))) % 0.83/1.09 (assume @p320 (forall @t408 (=> @t400 @t584))) % 0.83/1.09 (assume @p321 (forall @t181 (=> @t400 (= @t585 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t41 @t40) @t41))))) % 0.83/1.09 (assume @p322 (forall (@list @t45 @t40 @t41 @t31) (=> @t400 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t41 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t40 @t45)) (and @t585 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t41 @t45)))))) % 0.83/1.09 (assume @p323 (forall @t555 (=> @t400 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t116 @t401) @t586)))) % 0.83/1.09 (assume @p324 (forall @t556 (=> @t400 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t114 @t401) @t586)))) % 0.83/1.09 (assume @p325 (forall @t408 (=> @t400 (=> @t587 (= @t406 @t401))))) % 0.83/1.09 (assume @p326 (forall @t589 (=> @t400 (=> @t588 (= @t406 @t405))))) % 0.83/1.09 (assume @p327 (forall @t593 (=> @t400 (=> @t592 (=> @t591 @t590))))) % 0.83/1.09 (assume @p328 (forall @t417 (=> @t400 (=> @t587 (=> @t594 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t401 @t414)))))) % 0.83/1.09 (assume @p329 (forall (@list @t595 @t114 @t410 @t116 @t31) (=> @t400 (=> @t596 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t114 @t595) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t403 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t31 @t410 @t595))))))) % 0.83/1.09 (assume @p330 (forall @t593 (=> @t400 (=> @t590 (not (=> @t592 (not @t591))))))) % 0.83/1.09 (assume @p331 (= tptp.c_FunDef_Opair__less (tptp.c_Wellfounded_Olex__prod tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.c_Wellfounded_Oless__than tptp.c_Wellfounded_Oless__than))) % 0.83/1.09 (assume @p332 (forall @t559 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 @t316) (=> (tptp.hBOOL (tptp.hAPP @t308 @t56)) @t558)))) % 0.83/1.09 (assume @p333 (forall @t609 (=> @t608 (=> @t607 (=> (tptp.hBOOL (tptp.hAPP @t605 tptp.c_FunDef_Omin__weak)) (tptp.hBOOL (tptp.hAPP @t604 tptp.c_FunDef_Omin__weak))))))) % 0.83/1.09 (assume @p334 (forall (@list @t598 @t41 @t597 @t40) (=> (tptp.hBOOL (tptp.hAPP @t610 @t597)) (=> @t607 (=> (tptp.hBOOL (tptp.hAPP @t605 tptp.c_FunDef_Omax__weak)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t603 (tptp.hAPP (tptp.hAPP @t600 (tptp.c_Set_Oinsert @t551 @t41 @t598)) @t597)) tptp.c_FunDef_Omax__weak))))))) % 0.83/1.09 (assume @p335 (forall @t609 (=> @t608 (=> @t611 (=> (tptp.hBOOL (tptp.hAPP @t605 tptp.c_FunDef_Omin__strict)) (tptp.hBOOL (tptp.hAPP @t604 tptp.c_FunDef_Omin__strict))))))) % 0.83/1.09 (assume @p336 (forall @t564 (=> @t612 @t562))) % 0.83/1.09 (assume @p337 (forall @t386 (=> @t612 @t579))) % 0.83/1.09 (assume @p338 (forall @t386 (=> @t563 (=> @t613 @t578)))) % 0.83/1.09 (assume @p339 (forall @t383 (=> @t563 @t612))) % 0.83/1.09 (assume @p340 (forall @t383 (= @t612 (or @t563 @t38)))) % 0.83/1.09 (assume @p341 (forall @t383 (= @t563 (and @t612 (not @t38))))) % 0.83/1.09 (assume @p342 (forall @t178 (= (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t177 @t176) (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t56 @t137)))) % 0.83/1.09 (assume @p343 (forall @t147 (= (tptp.c_Orderings_Oord__class_Oless__eq @t399 @t146 @t145) (tptp.c_Orderings_Oord__class_Oless__eq @t139 @t56 @t137)))) % 0.83/1.09 (assume @p344 (forall @t380 (=> @t612 (=> @t108 @t109)))) % 0.83/1.09 (assume @p345 (forall @t493 (=> @t108 (=> @t612 @t109)))) % 0.83/1.09 (assume @p346 (forall @t614 (=> @t507 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t282 @t74) (tptp.c_Wellfounded_Owf @t31 @t282))))) % 0.83/1.09 (assume @p347 (forall @t616 (=> @t615 (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t346 (tptp.c_Relation_ODomain @t31 @t57 @t156))))) % 0.83/1.09 (assume @p348 (forall @t619 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t617 @t618) (tptp.c_Orderings_Oord__class_Oless__eq @t174 (tptp.c_Wellfounded_Oacc @t31 @t618) (tptp.c_Wellfounded_Oacc @t31 @t617))))) % 0.83/1.09 (assume @p349 (forall (@list @t29 @t57 @t35 @t620 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t620 @t35) (tptp.c_Orderings_Oord__class_Oless__eq @t374 @t188 (tptp.c_FuncSet_OPi @t31 @t57 @t620 @t29))))) % 0.83/1.09 (assume @p350 (forall @t619 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t436 @t617 @t618) (tptp.c_Orderings_Oord__class_Oless__eq @t174 (tptp.c_Wellfounded_Oaccp @t31 @t618) (tptp.c_Wellfounded_Oaccp @t31 @t617))))) % 0.83/1.09 (assume @p351 (forall @t624 (=> @t623 @t622))) % 0.83/1.09 (assume @p352 (forall @t178 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t56 @t137) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t137 @t317) (= (tptp.c_Transitive__Closure_Ortrancl @t31 @t137) @t317))))) % 0.83/1.09 (assume @p353 (forall @t624 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 @t74 @t621) @t622))) % 0.83/1.09 (assume @p354 (forall @t624 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t436 @t74 @t156) (tptp.c_Orderings_Oord__class_Oless__eq @t436 @t428 (tptp.c_Transitive__Closure_Ortranclp @t31 @t156))))) % 0.83/1.09 (assume @p355 (forall @t178 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t436 @t56 @t137) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t436 @t137 @t495) (= (tptp.c_Transitive__Closure_Ortranclp @t31 @t137) @t495))))) % 0.83/1.09 (assume @p356 (forall @t383 (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t377 @t35))) % 0.83/1.09 (assume @p357 (forall @t383 (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t377 @t29))) % 0.83/1.09 (assume @p358 (forall @t383 (=> @t612 (= @t377 @t35)))) % 0.83/1.09 (assume @p359 (forall (@list @t35 @t29 @t31) (=> @t625 (= @t377 @t29)))) % 0.83/1.09 (assume @p360 (forall (@list @t29 @t35 @t214 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t214 @t35) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t214 @t29) (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t214 @t377))))) % 0.83/1.09 (assume @p361 (forall (@list @t221 @t29 @t214 @t35 @t31) (=> @t626 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t29 @t221) (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t377 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 @t214 @t221)))))) % 0.83/1.09 (assume @p362 (forall @t616 (=> @t615 (=> (tptp.c_Relation_Osingle__valued @t31 @t57 @t156) @t352)))) % 0.83/1.09 (assume @p363 (forall (@list @t74 @t156 @t31) (=> (tptp.c_Wellfounded_Oacyclic @t31 @t156) (=> @t623 @t465)))) % 0.83/1.09 (assume @p364 (forall @t624 (=> @t623 (=> (tptp.c_Relation_Oantisym @t31 @t156) @t514)))) % 0.83/1.09 (assume @p365 (forall (@list @t98 @t221 @t214 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t214 @t221) (tptp.c_Orderings_Oord__class_Oless__eq @t174 (tptp.c_Set_Oinsert @t31 @t98 @t214) (tptp.c_Set_Oinsert @t31 @t98 @t221))))) % 0.83/1.09 (assume @p366 (forall (@list @t101 @t29 @t35 @t31) (=> @t612 (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t35 @t475)))) % 0.83/1.09 (assume @p367 (forall (@list @t98 @t29 @t31) (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t29 @t480))) % 0.83/1.09 (assume @p368 (forall @t614 (=> @t544 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t436 @t282 @t74) (tptp.c_Wellfounded_OwfP @t31 @t282))))) % 0.83/1.09 (assume @p369 (forall @t493 (=> @t182 (= (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t35 @t492) @t612)))) % 0.83/1.09 (assume @p370 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t483 @t29) (and @t109 @t612)))) % 0.83/1.09 (assume @p371 (forall (@list @t156 @t74 @t282 @t31) (=> @t450 (=> @t623 (tptp.hBOOL (tptp.hAPP @t283 (tptp.c_Transitive__Closure_Otrancl @t31 @t156))))))) % 0.83/1.09 (assume @p372 (forall @t296 (=> @t295 (=> @t612 (tptp.hBOOL (tptp.hAPP @t191 (tptp.c_FuncSet_Oextensional @t31 @t57 @t29))))))) % 0.83/1.09 (assume @p373 (forall @t627 (tptp.c_Orderings_Oord__class_Oless__eq @t174 (tptp.c_Relation_ODomain @t31 @t57 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t139 @t35 @t29)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 (tptp.c_Relation_ODomain @t31 @t57 @t35) (tptp.c_Relation_ODomain @t31 @t57 @t29))))) % 0.83/1.09 (assume @p374 (forall @t627 (tptp.c_Orderings_Oord__class_Oless__eq @t174 (tptp.c_Relation_ORange @t57 @t31 (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun @t371 tptp.tc_HOL_Obool) @t35 @t29)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t174 (tptp.c_Relation_ORange @t57 @t31 @t35) (tptp.c_Relation_ORange @t57 @t31 @t29))))) % 0.83/1.09 (assume @p375 (forall (@list @t629 @t41 @t628 @t40) (=> (tptp.hBOOL (tptp.hAPP @t610 @t628)) (=> @t611 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t603 (tptp.hAPP (tptp.hAPP @t600 @t629) @t628)) tptp.c_FunDef_Omax__strict)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t603 (tptp.hAPP (tptp.hAPP @t600 (tptp.c_Set_Oinsert @t551 @t41 @t629)) @t628)) tptp.c_FunDef_Omax__strict))))))) % 0.83/1.09 (assume @p376 (forall @t402 (=> @t630 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t401 @t401)))) % 0.83/1.09 (assume @p377 (tptp.c_FunDef_Oreduction__pair @t599 (tptp.hAPP (tptp.hAPP @t632 tptp.c_FunDef_Omin__strict) tptp.c_FunDef_Omin__weak))) % 0.83/1.09 (assume @p378 (forall @t383 (=> @t612 (=> @t625 @t38)))) % 0.83/1.09 (assume @p379 (tptp.c_FunDef_Oreduction__pair @t599 (tptp.hAPP (tptp.hAPP @t632 tptp.c_FunDef_Omax__strict) tptp.c_FunDef_Omax__weak))) % 0.83/1.09 (assume @p380 (forall (@list @t633 @t57 @t31 @t40 @t41 @t64) (=> @t637 (=> @t636 @t635)))) % 0.83/1.09 (assume @p381 (forall (@list @t40 @t41 @t633 @t64 @t57 @t31) (=> @t636 (=> @t637 @t635)))) % 0.83/1.09 (assume @p382 (forall (@list @t41 @t633 @t64 @t31) (=> @t639 (=> @t73 @t638)))) % 0.83/1.09 (assume @p383 (forall (@list @t633 @t31 @t41 @t64) (=> @t73 (=> @t639 @t638)))) % 0.83/1.09 (assume @p384 (forall @t640 (=> @t38 (not (=> @t612 (not @t625)))))) % 0.83/1.09 (assume @p385 (forall @t386 (=> @t612 (=> @t613 @t626)))) % 0.83/1.09 (assume @p386 (forall @t640 (=> @t38 @t625))) % 0.83/1.09 (assume @p387 (forall @t640 (=> @t38 @t612))) % 0.83/1.09 (assume @p388 (forall @t640 (= @t38 (and @t612 @t625)))) % 0.83/1.09 (assume @p389 (forall @t201 (tptp.c_Orderings_Oord__class_Oless__eq @t174 @t35 @t35))) % 0.83/1.09 (assume @p390 (forall @t643 (=> @t642 (= @t641 (forall @t8 (tptp.c_Orderings_Oord__class_Oless__eq @t57 @t6 @t5)))))) % 0.83/1.09 (assume @p391 (forall @t408 (=> @t644 (or @t587 @t588)))) % 0.83/1.09 (assume @p392 (forall @t181 (=> @t646 (= @t48 (and @t585 @t645))))) % 0.83/1.09 (assume @p393 (forall @t408 (=> @t630 (=> @t647 @t587)))) % 0.83/1.09 (assume @p394 (forall (@list @t41 @t1 @t2 @t31 @t57) (=> @t642 (=> @t641 (tptp.c_Orderings_Oord__class_Oless__eq @t57 @t184 @t387))))) % 0.83/1.09 (assume @p395 (forall @t649 (=> @t646 (=> @t645 @t648)))) % 0.83/1.09 (assume @p396 (forall @t418 (=> @t651 (=> @t650 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t114 @t410) @t596))))) % 0.83/1.09 (assume @p397 (forall @t418 (=> @t646 (=> @t650 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t410 @t114) @t652))))) % 0.83/1.09 (assume @p398 (forall @t418 (=> @t651 (=> @t654 (=> @t653 @t596))))) % 0.83/1.09 (assume @p399 (forall @t412 (=> @t646 (=> @t655 (=> @t653 @t652))))) % 0.83/1.09 (assume @p400 (forall @t408 (=> @t646 (=> @t587 (=> @t588 @t647))))) % 0.83/1.09 (assume @p401 (forall @t417 (=> @t630 (=> @t587 (=> @t656 @t594))))) % 0.83/1.09 (assume @p402 (forall @t589 (=> @t646 (=> @t588 (=> @t587 @t647))))) % 0.83/1.09 (assume @p403 (forall @t658 (=> @t646 (=> @t588 (=> @t657 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t413 @t401)))))) % 0.83/1.09 (assume @p404 (forall @t408 (=> @t644 (=> (not @t587) @t588)))) % 0.83/1.09 (assume @p405 (forall @t402 (=> @t630 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t401 @t401))))) % 0.83/1.09 (assume @p406 (forall @t181 (=> @t644 (= @t49 (or @t660 @t659))))) % 0.83/1.09 (assume @p407 (forall @t181 (=> @t644 (= @t661 (or @t659 @t48))))) % 0.83/1.09 (assume @p408 (forall @t408 (=> @t644 (or @t663 @t647 @t662)))) % 0.83/1.09 (assume @p409 (forall @t649 (=> @t644 (=> (not @t659) @t664)))) % 0.83/1.09 (assume @p410 (forall @t408 (=> @t644 (=> @t666 (=> @t665 @t662))))) % 0.83/1.09 (assume @p411 (forall @t408 (=> @t646 (=> @t663 @t666)))) % 0.83/1.09 (assume @p412 (forall @t408 (=> @t630 (=> @t663 (not @t662))))) % 0.83/1.09 (assume @p413 (forall @t408 (=> @t646 (=> @t663 (not (= @t405 @t401)))))) % 0.83/1.09 (assume @p414 (forall @t404 (=> @t630 (=> @t668 (not @t667))))) % 0.83/1.09 (assume @p415 (forall @t669 (=> @t646 (=> @t667 (not @t668))))) % 0.83/1.09 (assume @p416 (forall @t418 (=> @t651 (=> @t650 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t114 @t410) @t670))))) % 0.83/1.09 (assume @p417 (forall @t418 (=> @t646 (=> @t650 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t410 @t114) @t671))))) % 0.83/1.09 (assume @p418 (forall @t418 (=> @t651 (=> @t668 (=> @t653 @t670))))) % 0.83/1.09 (assume @p419 (forall @t412 (=> @t646 (=> @t667 (=> @t653 @t671))))) % 0.83/1.09 (assume @p420 (forall @t417 (=> @t630 (=> @t663 @t673)))) % 0.83/1.09 (assume @p421 (forall @t658 (=> @t646 (=> @t662 @t675)))) % 0.83/1.09 (assume @p422 (forall @t408 (=> @t644 (=> @t665 (=> @t666 @t662))))) % 0.83/1.09 (assume @p423 (forall @t643 (=> @t642 (= (tptp.c_Orderings_Oord__class_Oless @t189 @t2 @t1) (and @t641 (not (tptp.c_Orderings_Oord__class_Oless__eq @t189 @t1 @t2))))))) % 0.83/1.09 (assume @p424 (forall @t181 (=> @t644 (= @t661 @t645)))) % 0.83/1.09 (assume @p425 (forall @t181 (=> @t644 (= (not @t585) @t659)))) % 0.83/1.09 (assume @p426 (forall @t408 (=> @t644 (or @t587 @t662)))) % 0.83/1.09 (assume @p427 (forall @t181 (=> @t646 (= @t660 (and @t585 @t49))))) % 0.83/1.09 (assume @p428 (forall @t181 (=> @t630 (= @t660 (and @t585 (not @t645)))))) % 0.83/1.09 (assume @p429 (forall @t181 (=> @t646 (= @t585 (or @t660 @t48))))) % 0.83/1.09 (assume @p430 (forall @t408 (=> @t644 (=> @t665 @t588)))) % 0.83/1.09 (assume @p431 (forall @t589 (=> @t644 (=> (not @t588) @t663)))) % 0.83/1.09 (assume @p432 (forall @t181 (=> @t644 (=> @t661 @t648)))) % 0.83/1.09 (assume @p433 (forall @t404 (=> @t646 (=> @t676 (=> @t654 @t668))))) % 0.83/1.09 (assume @p434 (forall @t404 (=> @t646 (=> @t676 (=> @t655 @t667))))) % 0.83/1.09 (assume @p435 (forall @t589 (=> @t644 (=> @t588 @t665)))) % 0.83/1.09 (assume @p436 (forall @t408 (=> @t630 (=> @t663 @t587)))) % 0.83/1.09 (assume @p437 (forall @t181 (=> @t644 (=> @t585 @t664)))) % 0.83/1.09 (assume @p438 (forall @t408 (=> @t646 (=> @t587 (or @t663 @t647))))) % 0.83/1.09 (assume @p439 (forall @t404 (=> @t646 (=> @t654 (=> @t676 @t668))))) % 0.83/1.09 (assume @p440 (forall @t669 (=> @t646 (=> @t655 (=> @t676 @t667))))) % 0.83/1.09 (assume @p441 (forall @t417 (=> @t630 (=> @t663 (=> @t656 @t672))))) % 0.83/1.09 (assume @p442 (forall @t658 (=> @t646 (=> @t662 (=> @t657 @t674))))) % 0.83/1.09 (assume @p443 (forall @t417 (=> @t630 (=> @t587 @t673)))) % 0.83/1.09 (assume @p444 (forall @t658 (=> @t646 (=> @t588 @t675)))) % 0.83/1.09 (assume @p445 (forall @t568 (= @t566 (and @t577 @t678)))) % 0.83/1.09 (assume @p446 (forall @t568 (= @t577 (or @t566 @t677)))) % 0.83/1.09 (assume @p447 (forall (@list @t64 @t565 @t530) (=> (=> @t566 @t679) (=> (=> @t677 @t679) (=> (=> @t680 @t679) @t679))))) % 0.83/1.09 (assume @p448 (forall (@list @t681 @t682) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t682 @t681) (not (= @t682 @t681))))) % 0.83/1.09 (assume @p449 (forall (@list @t684 @t683) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t683 @t684) @t686))) % 0.83/1.09 (assume @p450 (forall @t687 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t683 @t683)))) % 0.83/1.09 (assume @p451 (forall @t581 (=> @t666 (=> (not @t580) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t405 @t401))))) % 0.83/1.09 (assume @p452 (forall @t568 (= @t678 (or @t566 @t680)))) % 0.83/1.09 (assume @p453 (forall @t690 (=> @t689 (=> @t688 @t685)))) % 0.83/1.09 (assume @p454 (forall (@list @t691 @t693 @t692) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t692 @t693) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t693 @t691) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t692 @t691))))) % 0.83/1.09 (assume @p455 (forall @t690 (=> @t685 @t689))) % 0.83/1.09 (assume @p456 (forall @t690 (or @t689 @t688))) % 0.83/1.09 (assume @p457 (forall @t687 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t683 @t683))) % 0.83/1.09 (assume @p458 (forall @t690 (=> (or @t694 @t685) @t689))) % 0.83/1.09 (assume @p459 (forall @t690 (=> @t689 (=> @t686 @t694)))) % 0.83/1.09 (assume @p460 (forall @t690 (=> @t694 @t689))) % 0.83/1.09 (assume @p461 (= tptp.c_FunDef_Omin__strict (tptp.c_Wellfounded_Omin__ext @t551 tptp.c_FunDef_Opair__less))) % 0.83/1.09 (assume @p462 (forall (@list @t2 @t57 @t64 @t31) (=> (tptp.c_FunDef_Oreduction__pair @t31 @t64) (tptp.c_FunDef_Oreduction__pair @t57 (tptp.hAPP (tptp.hAPP @t695 @t64) @t2))))) % 0.83/1.09 (assume @p463 (forall @t82 (=> @t507 (tptp.c_Wellfounded_Owf @t174 (tptp.c_Wellfounded_Omin__ext @t31 @t74))))) % 0.83/1.09 (assume @p464 (forall @t178 (=> @t538 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t234 (tptp.c_Relation_Orel__comp @t31 @t31 @t31 @t56 @t137) @t56) (tptp.c_FunDef_Oreduction__pair @t31 (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t234 @t234) @t56) @t137)))))) % 0.83/1.09 (assume @p465 (forall (@list @t57 @t31) (= @t695 (tptp.c_Product__Type_Oprod_Oprod__case @t234 @t234 @t700 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t234 @t703 @t702) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t701 (tptp.tc_fun @t703 @t702) @t234) (tptp.c_COMBB @t699 @t700 @t234)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t698 @t701 @t234) (tptp.c_COMBS @t388 @t535 @t696)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t699 @t698 @t234) (tptp.hAPP (tptp.c_COMBB @t535 @t697 @t388) (tptp.c_Product__Type_OPair @t535 @t535))) @t508)))) @t508))))) % 0.83/1.09 (assume @p466 (forall (@list @t156 @t30 @t150 @t74 @t101 @t98 @t57 @t31) (=> @t348 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t705) (tptp.hAPP (tptp.hAPP @t151 @t101) @t30)) @t156)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_prod @t31 @t150)) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t31 @t150) @t98) @t30)) @t704)))))) % 0.83/1.09 (assume @p467 (forall @t706 (= (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t57 @t150 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t142 @t217 @t31) (tptp.hAPP (tptp.c_COMBB @t61 @t150 @t57) @t2)) @t58)) @t2))) % 0.83/1.09 (assume @p468 (forall @t153 (= (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t57 @t150 @t31 @t148) @t152) @t149))) % 0.83/1.09 (assume @p469 (forall @t232 (= (tptp.hAPP @t707 @t152) (tptp.hAPP @t532 @t101)))) % 0.83/1.09 (assume @p470 (forall @t82 (= @t424 @t708))) % 0.83/1.09 (assume @p471 (forall @t82 (= @t424 @t709))) % 0.83/1.09 (assume @p472 (forall @t82 (= @t709 @t708))) % 0.83/1.09 (assume @p473 (forall @t451 (= (tptp.c_Relation_Orel__comp @t31 @t31 @t31 @t317 @t317) @t317))) % 0.83/1.09 (assume @p474 (forall (@list @t156 @t150 @t74 @t57 @t31) (=> @t352 (=> (tptp.c_Relation_Osingle__valued @t57 @t150 @t156) (tptp.c_Relation_Osingle__valued @t31 @t150 @t704))))) % 0.83/1.09 (assume @p475 (forall (@list @t30 @t150 @t57 @t31 @t710 @t282) (=> (= @t282 @t710) (= (tptp.hAPP @t711 @t282) (tptp.hAPP @t711 @t710))))) % 0.83/1.09 (assume @p476 (forall (@list @t282 @t1 @t712 @t220 @t2 @t31 @t150 @t57) (= (tptp.hAPP @t707 (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t220 @t712 @t705 @t1) @t282)) (tptp.hAPP (tptp.c_Product__Type_Oprod_Oprod__case @t220 @t712 @t31 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t712 @t705) (tptp.tc_fun @t712 @t31) @t220) (tptp.hAPP (tptp.c_COMBB @t705 @t31 @t712) @t707)) @t1)) @t282)))) % 0.83/1.09 (assume @p477 (forall (@list @t361 @t137 @t56 @t220 @t57 @t150 @t31) (= (tptp.c_Relation_Orel__comp @t31 @t150 @t57 (tptp.c_Relation_Orel__comp @t31 @t220 @t150 @t56 @t137) @t361) (tptp.c_Relation_Orel__comp @t31 @t220 @t57 @t56 (tptp.c_Relation_Orel__comp @t220 @t150 @t57 @t137 @t361))))) % 0.83/1.09 (assume @p478 (forall @t706 (= (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t57 @t150 (tptp.c_Product__Type_Ocurry @t31 @t57 @t150 @t2)) @t2))) % 0.83/1.09 (assume @p479 (forall @t706 (= (tptp.c_Product__Type_Ocurry @t31 @t57 @t150 (tptp.c_Product__Type_Oprod_Oprod__case @t31 @t57 @t150 @t2)) @t2))) % 0.83/1.09 (assume @p480 (forall @t451 (= @t538 (tptp.c_Wellfounded_Owf @t31 (tptp.c_Relation_Orel__comp @t31 @t31 @t31 @t56 @t56))))) % 0.83/1.09 (assume @p481 (forall @t717 (=> @t716 (tptp.class_Lattices_Osemilattice__inf @t715)))) % 0.83/1.09 (assume @p482 (forall @t717 (=> (tptp.class_Orderings_Opreorder @t713) (tptp.class_Orderings_Opreorder @t715)))) % 0.83/1.09 (assume @p483 (forall @t717 (=> @t716 (tptp.class_Lattices_Olattice @t715)))) % 0.83/1.09 (assume @p484 (forall @t717 (=> (tptp.class_Orderings_Oorder @t713) (tptp.class_Orderings_Oorder @t715)))) % 0.83/1.09 (assume @p485 (forall @t717 (=> (tptp.class_Orderings_Oord @t713) (tptp.class_Orderings_Oord @t715)))) % 0.83/1.09 (assume @p486 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 0.83/1.09 (assume @p487 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.83/1.09 (assume @p488 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.83/1.09 (assume @p489 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 0.83/1.09 (assume @p490 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.83/1.09 (assume @p491 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.83/1.09 (assume @p492 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 0.83/1.09 (assume @p493 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.83/1.09 (assume @p494 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 0.83/1.09 (assume @p495 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.83/1.09 (assume @p496 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.83/1.09 (assume @p497 (forall (@list @t718 @t31) (= (tptp.hAPP @t199 @t718) @t718))) % 0.83/1.09 (assume @p498 (forall (@list @t719 @t718 @t57 @t31) (= (tptp.hAPP (tptp.c_COMBK @t31 @t57 @t718) @t719) @t718))) % 0.83/1.09 (assume @p499 (forall (@list @t56 @t633 @t64 @t150 @t31 @t57) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t57 @t31 @t150) @t64) @t633) @t56) (tptp.hAPP @t64 @t720)))) % 0.83/1.09 (assume @p500 (forall @t722 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t57 @t150 @t31) @t64) @t633) @t56) (tptp.hAPP @t721 @t633)))) % 0.83/1.09 (assume @p501 (forall @t722 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t57 @t150 @t31) @t64) @t633) @t56) (tptp.hAPP @t721 @t720)))) % 0.83/1.09 (assume @p502 (forall @t553 (or (not @t723) @t48))) % 0.83/1.09 (assume @p503 (forall @t553 (or @t49 @t723))) % 0.83/1.09 (assume @p504 (not (tptp.hBOOL tptp.c_fFalse))) % 0.83/1.09 (assume @p505 (forall @t727 (or (not @t726) @t725))) % 0.83/1.09 (assume @p506 (forall @t727 (or (not @t725) @t726))) % 0.83/1.09 (assume @p507 (forall @t730 (or @t725 (not @t729) @t728))) % 0.83/1.09 (assume @p508 (forall @t730 (or @t731 @t724))) % 0.83/1.09 (assume @p509 (forall @t730 (or @t731 @t729))) % 0.83/1.09 (assume @p510 (not @t732)) % 0.83/1.09 (assume @p511 true) % 0.83/1.09 (step @p512 :rule instantiate :premises (@p3) :args (@t734)) % 0.83/1.09 (step @p513 :rule skolemize :premises (@p510)) % 0.83/1.09 (step @p514 :rule cnf_equiv_neg2 :args (@t738)) % 0.83/1.09 (step @p515 :rule eq-symm :args (@t739 @t735)) % 0.83/1.09 (step @p516 :rule refl :args (@t24)) % 0.83/1.09 (step @p517 :rule cong :premises (@p516 @p515) :args ((=> @t24 @t740))) % 0.83/1.09 (assume-push @p539 @t24) % 0.83/1.09 (step @p519 :rule instantiate :premises (@p4) :args (@t734)) % 0.83/1.09 (step-pop @p540 :rule scope :premises (@p519)) % 0.83/1.09 (step @p520 :rule process_scope :premises (@p540) :args (@t740)) % 0.83/1.09 (step @p522 :rule eq_resolve :premises (@p520 @p517)) % 0.83/1.09 (step @p523 :rule implies_elim :premises (@p522)) % 0.83/1.09 (step @p524 :rule chain_m_resolution :premises (@p523 @p4) :args (@t741 (@list false) (@list @t24))) % 0.83/1.09 (step @p525 :rule cnf_equiv_pos1 :args (@t741)) % 0.83/1.09 (step @p526 :rule reordering :premises (@p525) :args ((or @t743 @t739 @t742))) % 0.83/1.09 (step @p527 :rule cnf_equiv_pos2 :args (@t744)) % 0.83/1.09 (step @p528 :rule reordering :premises (@p527) :args ((or @t737 @t746 @t745))) % 0.83/1.09 (step @p529 :rule chain_m_resolution :premises (@p528 @p512 @p526 @p524 @p514 @p513) :args (@t743 (@list false false false true true) (@list @t744 @t739 @t741 @t737 @t738))) % 0.83/1.09 (step @p530 :rule cnf_equiv_neg1 :args (@t738)) % 0.83/1.09 (step @p531 :rule reordering :premises (@p530) :args ((or @t737 @t735 @t738))) % 0.83/1.09 (step @p532 :rule chain_m_resolution :premises (@p531 @p529 @p513) :args (@t737 (@list true true) (@list @t735 @t738))) % 0.83/1.09 (step @p533 :rule cnf_equiv_pos2 :args (@t741)) % 0.83/1.09 (step @p534 :rule reordering :premises (@p533) :args ((or @t735 @t746 @t742))) % 0.83/1.09 (step @p535 :rule chain_m_resolution :premises (@p534 @p529 @p524) :args (@t746 (@list true false) (@list @t735 @t741))) % 0.83/1.09 (step @p536 :rule cnf_equiv_pos1 :args (@t744)) % 0.83/1.09 (step @p537 :rule reordering :premises (@p536) :args ((or (not @t737) @t739 @t745))) % 0.83/1.09 (step @p538 false :rule chain_m_resolution :premises (@p537 @p535 @p532 @p512) :args (false (@list true false false) (@list @t739 @t737 @t744))) % 0.83/1.09 ) % 0.83/1.09 % SZS output end Proof % 0.83/1.09 % cvc5 exiting %------------------------------------------------------------------------------