%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT126+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 : n010.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 08:46:20 AM UTC 2026 % Result : Theorem 0.85s 1.06s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT126+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n010.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 14:28:55 EDT 2026 % 0.16/0.35 % CPUTime : % 0.41/0.67 %----Proving TF0_NAR, FOF, or CNF % 0.85/1.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.06 % SZS status Theorem % 0.85/1.06 % SZS output start Proof % 0.85/1.06 ( % 0.85/1.06 (declare-sort $$unsorted 0) % 0.85/1.06 (declare-const tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_fconj $$unsorted) % 0.85/1.06 (declare-const tptp.c_Fun_Othe__inv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Equiv__Relations_Oquotient (-> $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Hilbert__Choice_Oinv__into (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Equiv__Relations_Oequiv (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Relation_OImage (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Fun_Oinj__on (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Nitpick_Ofold__graph_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_HOL_OThe (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.v_b____ $$unsorted) % 0.85/1.06 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.v_a____ $$unsorted) % 0.85/1.06 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.v_P_H____ $$unsorted) % 0.85/1.06 (declare-const tptp.v_b_H____ $$unsorted) % 0.85/1.06 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 0.85/1.06 (declare-const tptp.c_Partial__Function_Oflat__lub (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.v_P____ $$unsorted) % 0.85/1.06 (declare-const tptp.v_F $$unsorted) % 0.85/1.06 (declare-const tptp.c_Recdef_Oadm__wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.v_Q____ $$unsorted) % 0.85/1.06 (declare-const tptp.v_a_H____ $$unsorted) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 0.85/1.06 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Relation_Oconverse (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_fNot $$unsorted) % 0.85/1.06 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove $$unsorted) % 0.85/1.06 (declare-const tptp.c_Equiv__Relations_Ocongruent (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 0.85/1.06 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 0.85/1.06 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_HOL_OLet (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_FuncSet_Oextensional__funcset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Set_Othe__elem (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_fequal $$unsorted) % 0.85/1.06 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 0.85/1.06 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.06 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.06 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.85/1.06 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.85/1.06 (define @t3 () (= @t2 @t1)) % 0.85/1.06 (define @t4 () (@var "B_x" $$unsorted)) % 0.85/1.06 (define @t5 () (tptp.hAPP @t1 @t4)) % 0.85/1.06 (define @t6 () (tptp.hAPP @t2 @t4)) % 0.85/1.06 (define @t7 () (= @t6 @t5)) % 0.85/1.06 (define @t8 () (@list @t4)) % 0.85/1.06 (define @t9 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.85/1.06 (define @t10 () (tptp.tc_fun @t9 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t11 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t10)) % 0.85/1.06 (define @t12 () (tptp.c_member @t11)) % 0.85/1.06 (define @t13 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t12 tptp.v_Q____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.85/1.06 (define @t14 () (@var "V_x_2" $$unsorted)) % 0.85/1.06 (define @t15 () (@var "V_L_2" $$unsorted)) % 0.85/1.06 (define @t16 () (tptp.c_member @t10)) % 0.85/1.06 (define @t17 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t15) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.85/1.06 (define @t18 () (@list @t14 @t15)) % 0.85/1.06 (define @t19 () (@var "V_B_2" $$unsorted)) % 0.85/1.06 (define @t20 () (@var "V_c_2" $$unsorted)) % 0.85/1.06 (define @t21 () (@var "T_a" $$unsorted)) % 0.85/1.06 (define @t22 () (tptp.c_member @t21)) % 0.85/1.06 (define @t23 () (tptp.hAPP @t22 @t20)) % 0.85/1.06 (define @t24 () (tptp.hBOOL (tptp.hAPP @t23 @t19))) % 0.85/1.06 (define @t25 () (@var "V_A_2" $$unsorted)) % 0.85/1.06 (define @t26 () (tptp.hBOOL (tptp.hAPP @t23 @t25))) % 0.85/1.06 (define @t27 () (not @t24)) % 0.85/1.06 (define @t28 () (=> @t26 @t27)) % 0.85/1.06 (define @t29 () (= @t25 @t19)) % 0.85/1.06 (define @t30 () (@var "V_y_2" $$unsorted)) % 0.85/1.06 (define @t31 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Oabove @t15)) % 0.85/1.06 (define @t32 () (= @t14 @t30)) % 0.85/1.06 (define @t33 () (not @t32)) % 0.85/1.06 (define @t34 () (@list @t15 @t30 @t14)) % 0.85/1.06 (define @t35 () (@var "B_L" $$unsorted)) % 0.85/1.06 (define @t36 () (tptp.hAPP @t25 @t14)) % 0.85/1.06 (define @t37 () (tptp.hBOOL @t36)) % 0.85/1.06 (define @t38 () (tptp.hAPP @t22 @t14)) % 0.85/1.06 (define @t39 () (tptp.hBOOL (tptp.hAPP @t38 @t25))) % 0.85/1.06 (define @t40 () (@list @t25 @t14 @t21)) % 0.85/1.06 (define @t41 () (@var "V_aa_2" $$unsorted)) % 0.85/1.06 (define @t42 () (tptp.hAPP @t22 @t41)) % 0.85/1.06 (define @t43 () (tptp.hBOOL (tptp.hAPP @t42 @t25))) % 0.85/1.06 (define @t44 () (@var "V_ba_2" $$unsorted)) % 0.85/1.06 (define @t45 () (tptp.hAPP @t22 @t44)) % 0.85/1.06 (define @t46 () (tptp.hBOOL (tptp.hAPP @t45 @t25))) % 0.85/1.06 (define @t47 () (= @t41 @t44)) % 0.85/1.06 (define @t48 () (@list @t25 @t21 @t44 @t41)) % 0.85/1.06 (define @t49 () (tptp.hAPP @t22 @t30)) % 0.85/1.06 (define @t50 () (tptp.hBOOL (tptp.hAPP @t49 @t25))) % 0.85/1.06 (define @t51 () (tptp.hBOOL (tptp.hAPP @t38 @t19))) % 0.85/1.06 (define @t52 () (@var "V_i_2" $$unsorted)) % 0.85/1.06 (define @t53 () (tptp.hAPP @t4 @t52)) % 0.85/1.06 (define @t54 () (@var "V_Fa_2" $$unsorted)) % 0.85/1.06 (define @t55 () (tptp.hAPP @t54 @t4)) % 0.85/1.06 (define @t56 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t12 @t4) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.85/1.06 (define @t57 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t54 @t52)) % 0.85/1.06 (define @t58 () (@list @t52 @t54)) % 0.85/1.06 (define @t59 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 0.85/1.06 (define @t60 () (tptp.hAPP @t59 @t14)) % 0.85/1.06 (define @t61 () (tptp.c_member @t9)) % 0.85/1.06 (define @t62 () (tptp.hAPP @t61 (tptp.hAPP @t60 @t30))) % 0.85/1.06 (define @t63 () (tptp.hBOOL (tptp.hAPP @t62 @t15))) % 0.85/1.06 (define @t64 () (= @t14 @t41)) % 0.85/1.06 (define @t65 () (not @t64)) % 0.85/1.06 (define @t66 () (tptp.hAPP @t59 @t44)) % 0.85/1.06 (define @t67 () (= @t30 @t44)) % 0.85/1.06 (define @t68 () (= @t30 @t41)) % 0.85/1.06 (define @t69 () (not @t47)) % 0.85/1.06 (define @t70 () (@list @t30 @t14 @t15 @t44 @t41)) % 0.85/1.06 (define @t71 () (= @t14 @t44)) % 0.85/1.06 (define @t72 () (tptp.hAPP @t59 @t41)) % 0.85/1.06 (define @t73 () (tptp.hAPP tptp.v_P____ @t52)) % 0.85/1.06 (define @t74 () (tptp.c_FuncSet_OPi @t11 @t10 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun @t10 tptp.tc_HOL_Obool) @t11 tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.85/1.06 (define @t75 () (tptp.c_member (tptp.tc_fun @t11 @t10))) % 0.85/1.06 (define @t76 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 tptp.v_F) @t74))) % 0.85/1.06 (define @t77 () (@list @t30 @t14 @t21)) % 0.85/1.06 (define @t78 () (@list @t15)) % 0.85/1.06 (define @t79 () (tptp.hAPP @t61 (tptp.hAPP @t72 @t44))) % 0.85/1.06 (define @t80 () (@var "B_i" $$unsorted)) % 0.85/1.06 (define @t81 () (tptp.hAPP @t61 (tptp.hAPP (tptp.hAPP @t59 tptp.v_a____) tptp.v_b____))) % 0.85/1.06 (define @t82 () (@list @t80)) % 0.85/1.06 (define @t83 () (@var "V_S_2" $$unsorted)) % 0.85/1.06 (define @t84 () (@var "V_R_2" $$unsorted)) % 0.85/1.06 (define @t85 () (= @t84 @t83)) % 0.85/1.06 (define @t86 () (@var "T_b" $$unsorted)) % 0.85/1.06 (define @t87 () (tptp.c_Product__Type_OPair @t21 @t86)) % 0.85/1.06 (define @t88 () (tptp.tc_prod @t21 @t86)) % 0.85/1.06 (define @t89 () (tptp.c_member @t88)) % 0.85/1.06 (define @t90 () (tptp.tc_fun @t88 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t91 () (tptp.tc_fun @t90 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t92 () (tptp.tc_fun @t86 @t91)) % 0.85/1.06 (define @t93 () (tptp.tc_fun @t86 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t94 () (tptp.hAPP (tptp.c_COMBC @t21 @t90 @t93) (tptp.hAPP (tptp.c_COMBB @t92 (tptp.tc_fun @t90 @t93) @t21 (tptp.c_COMBC @t86 @t90 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t86 @t88) @t92 @t21 (tptp.c_COMBB @t88 @t91 @t86 @t89)) @t87)))) % 0.85/1.06 (define @t95 () (tptp.hAPP @t94 @t83)) % 0.85/1.06 (define @t96 () (tptp.hAPP @t94 @t84)) % 0.85/1.06 (define @t97 () (@list @t83 @t84 @t86 @t21)) % 0.85/1.06 (define @t98 () (tptp.tc_fun @t21 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t99 () (tptp.hAPP (tptp.c_COMBC @t21 @t98 tptp.tc_HOL_Obool) @t22)) % 0.85/1.06 (define @t100 () (tptp.hAPP @t99 @t83)) % 0.85/1.06 (define @t101 () (tptp.hAPP @t99 @t84)) % 0.85/1.06 (define @t102 () (@list @t83 @t84 @t21)) % 0.85/1.06 (define @t103 () (@var "V_z_2" $$unsorted)) % 0.85/1.06 (define @t104 () (= @t30 @t103)) % 0.85/1.06 (define @t105 () (not @t104)) % 0.85/1.06 (define @t106 () (= @t14 @t103)) % 0.85/1.06 (define @t107 () (not @t106)) % 0.85/1.06 (define @t108 () (@list @t103 @t15 @t30 @t14)) % 0.85/1.06 (define @t109 () (not @t39)) % 0.85/1.06 (define @t110 () (tptp.hAPP @t19 @t14)) % 0.85/1.06 (define @t111 () (tptp.hAPP @t2 @t14)) % 0.85/1.06 (define @t112 () (tptp.c_member @t86)) % 0.85/1.06 (define @t113 () (tptp.hAPP @t112 @t111)) % 0.85/1.06 (define @t114 () (tptp.hBOOL (tptp.hAPP @t113 @t110))) % 0.85/1.06 (define @t115 () (tptp.c_FuncSet_OPi @t21 @t86 @t25 @t19)) % 0.85/1.06 (define @t116 () (tptp.tc_fun @t21 @t86)) % 0.85/1.06 (define @t117 () (tptp.c_member @t116)) % 0.85/1.06 (define @t118 () (tptp.hAPP @t117 @t2)) % 0.85/1.06 (define @t119 () (tptp.hBOOL (tptp.hAPP @t118 @t115))) % 0.85/1.06 (define @t120 () (@list @t14 @t19 @t25 @t2 @t86 @t21)) % 0.85/1.06 (define @t121 () (@var "B_b" $$unsorted)) % 0.85/1.06 (define @t122 () (@var "B_a" $$unsorted)) % 0.85/1.06 (define @t123 () (tptp.hAPP @t61 (tptp.hAPP (tptp.hAPP @t59 @t122) @t121))) % 0.85/1.06 (define @t124 () (tptp.hBOOL (tptp.hAPP @t123 @t55))) % 0.85/1.06 (define @t125 () (@list @t122 @t121)) % 0.85/1.06 (define @t126 () (tptp.hBOOL (tptp.hAPP @t113 @t19))) % 0.85/1.06 (define @t127 () (=> @t39 @t126)) % 0.85/1.06 (define @t128 () (tptp.c_FuncSet_OPi @t21 @t86 @t25 (tptp.c_COMBK @t93 @t21 @t19))) % 0.85/1.06 (define @t129 () (tptp.hBOOL (tptp.hAPP @t118 @t128))) % 0.85/1.06 (define @t130 () (forall @t120 (=> @t129 @t127))) % 0.85/1.06 (define @t131 () (@var "V_r_2" $$unsorted)) % 0.85/1.06 (define @t132 () (tptp.c_Product__Type_OPair @t86 @t21)) % 0.85/1.06 (define @t133 () (tptp.tc_prod @t86 @t21)) % 0.85/1.06 (define @t134 () (tptp.c_member @t133)) % 0.85/1.06 (define @t135 () (tptp.hAPP @t134 (tptp.hAPP (tptp.hAPP @t132 @t44) @t41))) % 0.85/1.06 (define @t136 () (tptp.hBOOL (tptp.hAPP @t135 @t131))) % 0.85/1.06 (define @t137 () (tptp.c_Relation_Oconverse @t86 @t21 @t131)) % 0.85/1.06 (define @t138 () (tptp.hAPP @t87 @t41)) % 0.85/1.06 (define @t139 () (tptp.hAPP @t138 @t44)) % 0.85/1.06 (define @t140 () (tptp.hAPP @t89 @t139)) % 0.85/1.06 (define @t141 () (tptp.hBOOL (tptp.hAPP @t140 @t137))) % 0.85/1.06 (define @t142 () (@list @t131 @t44 @t41 @t86 @t21)) % 0.85/1.06 (define @t143 () (tptp.c_Relation_Oconverse @t21 @t86 @t131)) % 0.85/1.06 (define @t144 () (tptp.hBOOL (tptp.hAPP @t140 @t131))) % 0.85/1.06 (define @t145 () (tptp.c_COMBI @t21)) % 0.85/1.06 (define @t146 () (tptp.tc_fun @t21 @t21)) % 0.85/1.06 (define @t147 () (@list @t25 @t21)) % 0.85/1.06 (define @t148 () (@var "B_xa" $$unsorted)) % 0.85/1.06 (define @t149 () (tptp.hBOOL (tptp.hAPP @t123 (tptp.hAPP @t4 @t80)))) % 0.85/1.06 (define @t150 () (@list @t148)) % 0.85/1.06 (define @t151 () (@list @t54)) % 0.85/1.06 (define @t152 () (@list @t131 @t21 @t86)) % 0.85/1.06 (define @t153 () (tptp.c_Product__Type_OPair @t21 @t21)) % 0.85/1.06 (define @t154 () (tptp.hAPP @t153 @t4)) % 0.85/1.06 (define @t155 () (tptp.hAPP @t154 @t4)) % 0.85/1.06 (define @t156 () (tptp.tc_prod @t21 @t21)) % 0.85/1.06 (define @t157 () (tptp.c_member @t156)) % 0.85/1.06 (define @t158 () (tptp.hAPP @t157 @t155)) % 0.85/1.06 (define @t159 () (tptp.hBOOL (tptp.hAPP @t158 @t131))) % 0.85/1.06 (define @t160 () (@list @t131 @t21)) % 0.85/1.06 (define @t161 () (tptp.hAPP @t19 @t4)) % 0.85/1.06 (define @t162 () (tptp.hAPP @t112 @t6)) % 0.85/1.06 (define @t163 () (tptp.hAPP @t22 @t4)) % 0.85/1.06 (define @t164 () (tptp.hBOOL (tptp.hAPP @t163 @t25))) % 0.85/1.06 (define @t165 () (forall @t8 (=> @t164 (tptp.hBOOL (tptp.hAPP @t162 @t161))))) % 0.85/1.06 (define @t166 () (@list @t19 @t2 @t86 @t25 @t21)) % 0.85/1.06 (define @t167 () (tptp.hAPP @t87 @t14)) % 0.85/1.06 (define @t168 () (tptp.hAPP @t167 @t30)) % 0.85/1.06 (define @t169 () (tptp.hAPP @t89 @t168)) % 0.85/1.06 (define @t170 () (@var "B_y" $$unsorted)) % 0.85/1.06 (define @t171 () (tptp.hAPP @t132 @t4)) % 0.85/1.06 (define @t172 () (@var "V_yx_2" $$unsorted)) % 0.85/1.06 (define @t173 () (@list @t4 @t170)) % 0.85/1.06 (define @t174 () (@var "V_Pa_2" $$unsorted)) % 0.85/1.06 (define @t175 () (@var "V_y_H_2" $$unsorted)) % 0.85/1.06 (define @t176 () (tptp.c_Product__Type_OPair @t88 @t88)) % 0.85/1.06 (define @t177 () (tptp.c_member (tptp.tc_prod @t88 @t88))) % 0.85/1.06 (define @t178 () (tptp.c_Product__Type_OPair @t86 @t86)) % 0.85/1.06 (define @t179 () (tptp.c_member (tptp.tc_prod @t86 @t86))) % 0.85/1.06 (define @t180 () (tptp.hAPP @t174 @t14)) % 0.85/1.06 (define @t181 () (tptp.hBOOL @t180)) % 0.85/1.06 (define @t182 () (tptp.c_Relation_ORange @t21 @t86 @t131)) % 0.85/1.06 (define @t183 () (tptp.hAPP @t112 @t44)) % 0.85/1.06 (define @t184 () (tptp.c_Relation_OId__on @t21 @t25)) % 0.85/1.06 (define @t185 () (tptp.hAPP @t153 @t41)) % 0.85/1.06 (define @t186 () (tptp.hAPP @t157 (tptp.hAPP @t185 @t44))) % 0.85/1.06 (define @t187 () (tptp.hAPP @t153 @t14)) % 0.85/1.06 (define @t188 () (tptp.hAPP @t157 (tptp.hAPP @t187 @t30))) % 0.85/1.06 (define @t189 () (@list @t25 @t30 @t14 @t21)) % 0.85/1.06 (define @t190 () (@list @t170)) % 0.85/1.06 (define @t191 () (tptp.c_Relation_ORange @t86 @t21 @t131)) % 0.85/1.06 (define @t192 () (@list @t131 @t86 @t41 @t21)) % 0.85/1.06 (define @t193 () (tptp.hAPP @t112 @t14)) % 0.85/1.06 (define @t194 () (tptp.hAPP @t94 @t131)) % 0.85/1.06 (define @t195 () (@list @t14 @t131 @t86 @t21)) % 0.85/1.06 (define @t196 () (@var "V_s_2" $$unsorted)) % 0.85/1.06 (define @t197 () (@var "V_b_Ha_2" $$unsorted)) % 0.85/1.06 (define @t198 () (@var "V_a_Ha_2" $$unsorted)) % 0.85/1.06 (define @t199 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t134 (tptp.hAPP @t171 @t44)) @t131))) % 0.85/1.06 (define @t200 () (forall @t8 (=> @t164 (tptp.hBOOL (tptp.hAPP @t162 @t19))))) % 0.85/1.06 (define @t201 () (tptp.c_Relation_ODomain @t21 @t86 @t131)) % 0.85/1.06 (define @t202 () (tptp.hBOOL (tptp.hAPP @t42 @t201))) % 0.85/1.06 (define @t203 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t41) @t44))) % 0.85/1.06 (define @t204 () (@list @t86 @t21 @t44 @t41 @t131)) % 0.85/1.06 (define @t205 () (@var "V_a2_2" $$unsorted)) % 0.85/1.06 (define @t206 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t44) @t41))) % 0.85/1.06 (define @t207 () (tptp.c_Predicate_Oconversep @t21 @t86 @t131)) % 0.85/1.06 (define @t208 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t207 @t41) @t44))) % 0.85/1.06 (define @t209 () (@list @t44 @t41 @t131 @t86 @t21)) % 0.85/1.06 (define @t210 () (@var "V_a1_2" $$unsorted)) % 0.85/1.06 (define @t211 () (@list @t21)) % 0.85/1.06 (define @t212 () (tptp.c_Relation_ODomain @t21 @t86 @t137)) % 0.85/1.06 (define @t213 () (@list @t131 @t86 @t21)) % 0.85/1.06 (define @t214 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 (tptp.hAPP @t138 @t170)) @t131))) % 0.85/1.06 (define @t215 () (tptp.hAPP @t117 @t1)) % 0.85/1.06 (define @t216 () (@var "B_w" $$unsorted)) % 0.85/1.06 (define @t217 () (@var "V_h_2" $$unsorted)) % 0.85/1.06 (define @t218 () (@var "T_d" $$unsorted)) % 0.85/1.06 (define @t219 () (@var "T_c" $$unsorted)) % 0.85/1.06 (define @t220 () (tptp.c_FuncSet_Ocompose @t21 @t86 @t219 @t25 @t1 @t2)) % 0.85/1.06 (define @t221 () (@var "V_D_2" $$unsorted)) % 0.85/1.06 (define @t222 () (@var "V_C_2" $$unsorted)) % 0.85/1.06 (define @t223 () (tptp.tc_fun @t219 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t224 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t86 @t219)) @t1) (tptp.c_FuncSet_OPi @t86 @t219 @t19 (tptp.c_COMBK @t223 @t86 @t222))))) % 0.85/1.06 (define @t225 () (tptp.c_Wellfounded_Oacc @t21 @t131)) % 0.85/1.06 (define @t226 () (tptp.hBOOL (tptp.hAPP @t42 @t225))) % 0.85/1.06 (define @t227 () (tptp.hBOOL (tptp.hAPP @t186 @t131))) % 0.85/1.06 (define @t228 () (tptp.hBOOL (tptp.hAPP @t45 @t225))) % 0.85/1.06 (define @t229 () (@list @t131 @t41 @t21)) % 0.85/1.06 (define @t230 () (= @t4 @t148)) % 0.85/1.06 (define @t231 () (not @t230)) % 0.85/1.06 (define @t232 () (tptp.hAPP @t22 @t148)) % 0.85/1.06 (define @t233 () (tptp.hBOOL (tptp.hAPP @t232 @t25))) % 0.85/1.06 (define @t234 () (tptp.c_Relation_Ototal__on @t21 @t25 @t131)) % 0.85/1.06 (define @t235 () (@list @t131 @t25 @t21)) % 0.85/1.06 (define @t236 () (tptp.hAPP @t2 @t30)) % 0.85/1.06 (define @t237 () (tptp.c_FuncSet_Ocompose @t21 @t219 @t86 @t25 @t1 @t2)) % 0.85/1.06 (define @t238 () (tptp.c_Relation_Oconverse @t21 @t21 @t131)) % 0.85/1.06 (define @t239 () (tptp.hBOOL (tptp.hAPP @t38 @t225))) % 0.85/1.06 (define @t240 () (tptp.tc_fun @t156 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t241 () (tptp.tc_fun @t240 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t242 () (tptp.tc_fun @t21 @t241)) % 0.85/1.06 (define @t243 () (@list @t14 @t131 @t21)) % 0.85/1.06 (define @t244 () (tptp.hAPP @t153 @t170)) % 0.85/1.06 (define @t245 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t244 @t14)) @t131))) % 0.85/1.06 (define @t246 () (@list @t131 @t14 @t21)) % 0.85/1.06 (define @t247 () (tptp.c_Wellfounded_Oacc @t21 @t84)) % 0.85/1.06 (define @t248 () (@var "B_z" $$unsorted)) % 0.85/1.06 (define @t249 () (tptp.hAPP @t153 @t248)) % 0.85/1.06 (define @t250 () (@list @t248)) % 0.85/1.06 (define @t251 () (tptp.c_FuncSet_Oextensional @t21 @t86 @t25)) % 0.85/1.06 (define @t252 () (tptp.c_Transitive__Closure_Ortrancl @t21 @t131)) % 0.85/1.06 (define @t253 () (tptp.hAPP @t153 @t44)) % 0.85/1.06 (define @t254 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t253 @t41)) @t252))) % 0.85/1.06 (define @t255 () (tptp.hAPP @t157 (tptp.hAPP @t185 @t41))) % 0.85/1.06 (define @t256 () (tptp.c_Relation_Orefl__on @t21 @t25 @t131)) % 0.85/1.06 (define @t257 () (@list @t41 @t131 @t25 @t21)) % 0.85/1.06 (define @t258 () (tptp.hBOOL (tptp.hAPP @t188 @t131))) % 0.85/1.06 (define @t259 () (@list @t30 @t14 @t131 @t25 @t21)) % 0.85/1.06 (define @t260 () (tptp.c_Wellfounded_Oaccp @t21 @t131)) % 0.85/1.06 (define @t261 () (tptp.hBOOL (tptp.hAPP @t260 @t41))) % 0.85/1.06 (define @t262 () (@var "V_p_2" $$unsorted)) % 0.85/1.06 (define @t263 () (tptp.hAPP @t157 @t262)) % 0.85/1.06 (define @t264 () (tptp.hBOOL (tptp.hAPP @t263 @t131))) % 0.85/1.06 (define @t265 () (@list @t131 @t262 @t21)) % 0.85/1.06 (define @t266 () (tptp.c_Transitive__Closure_Ortrancl @t21 @t84)) % 0.85/1.06 (define @t267 () (tptp.hBOOL (tptp.hAPP @t188 @t266))) % 0.85/1.06 (define @t268 () (tptp.hAPP @t153 @t30)) % 0.85/1.06 (define @t269 () (tptp.hAPP @t268 @t14)) % 0.85/1.06 (define @t270 () (tptp.hAPP @t157 @t269)) % 0.85/1.06 (define @t271 () (tptp.hBOOL (tptp.hAPP @t270 @t252))) % 0.85/1.06 (define @t272 () (tptp.c_Transitive__Closure_Ortrancl @t21 @t238)) % 0.85/1.06 (define @t273 () (tptp.hBOOL (tptp.hAPP @t188 @t272))) % 0.85/1.06 (define @t274 () (@list @t131 @t30 @t14 @t21)) % 0.85/1.06 (define @t275 () (@list @t131 @t14 @t30 @t21)) % 0.85/1.06 (define @t276 () (tptp.hAPP @t157 (tptp.hAPP @t185 @t20))) % 0.85/1.06 (define @t277 () (tptp.hBOOL (tptp.hAPP @t276 @t252))) % 0.85/1.06 (define @t278 () (tptp.hAPP @t157 (tptp.hAPP @t253 @t20))) % 0.85/1.06 (define @t279 () (tptp.hBOOL (tptp.hAPP @t278 @t252))) % 0.85/1.06 (define @t280 () (=> @t279 @t277)) % 0.85/1.06 (define @t281 () (tptp.hBOOL (tptp.hAPP @t186 @t252))) % 0.85/1.06 (define @t282 () (@list @t20 @t131 @t44 @t41 @t21)) % 0.85/1.06 (define @t283 () (tptp.hBOOL (tptp.hAPP @t278 @t131))) % 0.85/1.06 (define @t284 () (tptp.hBOOL (tptp.hAPP @t215 @t251))) % 0.85/1.06 (define @t285 () (tptp.hBOOL (tptp.hAPP @t118 @t251))) % 0.85/1.06 (define @t286 () (@list @t19 @t25 @t2 @t86 @t21)) % 0.85/1.06 (define @t287 () (tptp.hAPP @t157 (tptp.hAPP @t268 @t103))) % 0.85/1.06 (define @t288 () (tptp.hAPP @t157 (tptp.hAPP @t187 @t103))) % 0.85/1.06 (define @t289 () (tptp.hBOOL (tptp.hAPP @t288 @t252))) % 0.85/1.06 (define @t290 () (tptp.hBOOL (tptp.hAPP @t188 @t252))) % 0.85/1.06 (define @t291 () (@var "V_by_2" $$unsorted)) % 0.85/1.06 (define @t292 () (@var "V_bx_2" $$unsorted)) % 0.85/1.06 (define @t293 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t174 @t292) @t291))) % 0.85/1.06 (define @t294 () (@var "B_ba" $$unsorted)) % 0.85/1.06 (define @t295 () (@var "B_aa" $$unsorted)) % 0.85/1.06 (define @t296 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t174 @t295) @t294))) % 0.85/1.06 (define @t297 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t174 @t122) @t121))) % 0.85/1.06 (define @t298 () (tptp.hAPP (tptp.hAPP @t87 @t295) @t294)) % 0.85/1.06 (define @t299 () (tptp.hAPP (tptp.hAPP @t87 @t122) @t121)) % 0.85/1.06 (define @t300 () (tptp.hAPP @t176 @t299)) % 0.85/1.06 (define @t301 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP @t300 @t298)) @t131))) % 0.85/1.06 (define @t302 () (tptp.c_Transitive__Closure_Ortrancl @t88 @t131)) % 0.85/1.06 (define @t303 () (@var "V_ay_2" $$unsorted)) % 0.85/1.06 (define @t304 () (@var "V_ax_2" $$unsorted)) % 0.85/1.06 (define @t305 () (tptp.hAPP @t176 (tptp.hAPP (tptp.hAPP @t87 @t304) @t303))) % 0.85/1.06 (define @t306 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t174 @t304) @t303))) % 0.85/1.06 (define @t307 () (tptp.hAPP (tptp.hAPP @t87 @t292) @t291)) % 0.85/1.06 (define @t308 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP @t305 @t307)) @t302))) % 0.85/1.06 (define @t309 () (@list @t174 @t131 @t291 @t292 @t303 @t304 @t86 @t21)) % 0.85/1.06 (define @t310 () (@var "V_zb_2" $$unsorted)) % 0.85/1.06 (define @t311 () (@var "V_za_2" $$unsorted)) % 0.85/1.06 (define @t312 () (tptp.hAPP (tptp.hAPP @t87 @t311) @t310)) % 0.85/1.06 (define @t313 () (@var "V_xb_2" $$unsorted)) % 0.85/1.06 (define @t314 () (@var "V_xa_2" $$unsorted)) % 0.85/1.06 (define @t315 () (tptp.hAPP (tptp.hAPP @t87 @t314) @t313)) % 0.85/1.06 (define @t316 () (tptp.hAPP @t176 @t315)) % 0.85/1.06 (define @t317 () (tptp.c_HOL_Oundefined @t86)) % 0.85/1.06 (define @t318 () (= @t111 @t317)) % 0.85/1.06 (define @t319 () (@list @t14 @t25 @t2 @t86 @t21)) % 0.85/1.06 (define @t320 () (tptp.c_FuncSet_Orestrict @t21 @t86 @t2 @t25)) % 0.85/1.06 (define @t321 () (tptp.hAPP @t320 @t14)) % 0.85/1.06 (define @t322 () (@list @t2 @t86 @t25 @t14 @t21)) % 0.85/1.06 (define @t323 () (tptp.hAPP @t117 @t320)) % 0.85/1.06 (define @t324 () (@list @t25 @t2 @t86 @t21)) % 0.85/1.06 (define @t325 () (tptp.c_Relation_Osingle__valued @t21 @t86 @t131)) % 0.85/1.06 (define @t326 () (tptp.hAPP @t87 @t4)) % 0.85/1.06 (define @t327 () (forall @t173 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 (tptp.hAPP @t326 @t170)) @t131)) (forall @t250 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 (tptp.hAPP @t326 @t248)) @t131)) (= @t170 @t248)))))) % 0.85/1.06 (define @t328 () (tptp.c_Recdef_Ocut @t21 @t86)) % 0.85/1.06 (define @t329 () (tptp.hAPP (tptp.hAPP @t328 @t2) @t131)) % 0.85/1.06 (define @t330 () (tptp.hAPP @t329 @t14)) % 0.85/1.06 (define @t331 () (tptp.hAPP @t330 @t30)) % 0.85/1.06 (define @t332 () (tptp.hBOOL (tptp.hAPP @t270 @t131))) % 0.85/1.06 (define @t333 () (tptp.hBOOL (tptp.hAPP @t38 @t83))) % 0.85/1.06 (define @t334 () (not @t333)) % 0.85/1.06 (define @t335 () (@var "V_T_2" $$unsorted)) % 0.85/1.06 (define @t336 () (tptp.c_FuncSet_Oextensional__funcset @t21 @t86 @t83 @t335)) % 0.85/1.06 (define @t337 () (tptp.hBOOL (tptp.hAPP @t118 @t336))) % 0.85/1.06 (define @t338 () (@list @t14 @t335 @t83 @t2 @t86 @t21)) % 0.85/1.06 (define @t339 () (tptp.hBOOL (tptp.hAPP @t174 @t44))) % 0.85/1.06 (define @t340 () (tptp.hBOOL (tptp.hAPP @t174 @t248))) % 0.85/1.06 (define @t341 () (tptp.hBOOL (tptp.hAPP @t174 @t170))) % 0.85/1.06 (define @t342 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t244 @t248)) @t131))) % 0.85/1.06 (define @t343 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t185 @t170)) @t252))) % 0.85/1.06 (define @t344 () (tptp.hBOOL (tptp.hAPP @t174 @t41))) % 0.85/1.06 (define @t345 () (@list @t174 @t131 @t44 @t41 @t21)) % 0.85/1.06 (define @t346 () (@var "B_f" $$unsorted)) % 0.85/1.06 (define @t347 () (@var "B_R" $$unsorted)) % 0.85/1.06 (define @t348 () (tptp.hAPP @t157 (tptp.hAPP @t187 @t41))) % 0.85/1.06 (define @t349 () (tptp.tc_fun @t21 @t116)) % 0.85/1.06 (define @t350 () (@list @t54 @t84 @t86 @t21)) % 0.85/1.06 (define @t351 () (tptp.tc_fun @t116 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t352 () (@list @t131 @t44 @t41 @t21)) % 0.85/1.06 (define @t353 () (tptp.hAPP @t157 (tptp.hAPP @t244 @t103))) % 0.85/1.06 (define @t354 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t187 @t170)) @t131))) % 0.85/1.06 (define @t355 () (@list @t131 @t103 @t14 @t21)) % 0.85/1.06 (define @t356 () (tptp.c_Transitive__Closure_Otrancl @t21 @t131)) % 0.85/1.06 (define @t357 () (tptp.hBOOL (tptp.hAPP @t186 @t356))) % 0.85/1.06 (define @t358 () (tptp.hBOOL @t110)) % 0.85/1.06 (define @t359 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 @t19)) % 0.85/1.06 (define @t360 () (tptp.hBOOL (tptp.hAPP @t359 @t14))) % 0.85/1.06 (define @t361 () (@list @t14 @t19 @t25 @t21)) % 0.85/1.06 (define @t362 () (tptp.hBOOL (tptp.hAPP @t23 @t359))) % 0.85/1.06 (define @t363 () (@list @t19 @t25 @t20 @t21)) % 0.85/1.06 (define @t364 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t19 @t222)) % 0.85/1.06 (define @t365 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 @t364)) % 0.85/1.06 (define @t366 () (@list @t222 @t19 @t25 @t21)) % 0.85/1.06 (define @t367 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 @t222)) % 0.85/1.06 (define @t368 () (@list @t19 @t25 @t21)) % 0.85/1.06 (define @t369 () (tptp.hBOOL (tptp.hAPP @t263 @t356))) % 0.85/1.06 (define @t370 () (tptp.c_Transitive__Closure_Otrancl @t21 @t84)) % 0.85/1.06 (define @t371 () (@list @t84 @t21)) % 0.85/1.06 (define @t372 () (tptp.c_Relation_Oconverse @t21 @t21 @t356)) % 0.85/1.06 (define @t373 () (tptp.c_Transitive__Closure_Otrancl @t21 @t238)) % 0.85/1.06 (define @t374 () (tptp.hBOOL (tptp.hAPP @t276 @t356))) % 0.85/1.06 (define @t375 () (=> (tptp.hBOOL (tptp.hAPP @t278 @t356)) @t374)) % 0.85/1.06 (define @t376 () (=> @t283 @t374)) % 0.85/1.06 (define @t377 () (tptp.hBOOL (tptp.hAPP @t188 @t370))) % 0.85/1.06 (define @t378 () (@list @t84 @t30 @t14 @t21)) % 0.85/1.06 (define @t379 () (=> @t279 @t374)) % 0.85/1.06 (define @t380 () (tptp.hBOOL (tptp.hAPP @t288 @t356))) % 0.85/1.06 (define @t381 () (tptp.hBOOL (tptp.hAPP @t188 @t372))) % 0.85/1.06 (define @t382 () (tptp.hBOOL (tptp.hAPP @t188 @t373))) % 0.85/1.06 (define @t383 () (tptp.hAPP @t1 @t14)) % 0.85/1.06 (define @t384 () (tptp.tc_fun @t86 @t21)) % 0.85/1.06 (define @t385 () (tptp.class_Lattices_Olattice @t21)) % 0.85/1.06 (define @t386 () (tptp.hAPP @t157 (tptp.hAPP @t249 @t30))) % 0.85/1.06 (define @t387 () (tptp.hAPP @t157 (tptp.hAPP @t187 @t248))) % 0.85/1.06 (define @t388 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t158 @t356))))) % 0.85/1.06 (define @t389 () (tptp.c_Wellfounded_Oacyclic @t21 @t131)) % 0.85/1.06 (define @t390 () (@var "B_g" $$unsorted)) % 0.85/1.06 (define @t391 () (tptp.tc_fun @t21 @t93)) % 0.85/1.06 (define @t392 () (@list @t196 @t131 @t21 @t86)) % 0.85/1.06 (define @t393 () (tptp.tc_fun @t133 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t394 () (@var "V_z" $$unsorted)) % 0.85/1.06 (define @t395 () (@var "V_y" $$unsorted)) % 0.85/1.06 (define @t396 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t395 @t394)) % 0.85/1.06 (define @t397 () (@var "V_x" $$unsorted)) % 0.85/1.06 (define @t398 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t397 @t396)) % 0.85/1.06 (define @t399 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t397 @t395)) % 0.85/1.06 (define @t400 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t399 @t394) @t398)) % 0.85/1.06 (define @t401 () (tptp.class_Lattices_Osemilattice__inf @t21)) % 0.85/1.06 (define @t402 () (@list @t394 @t395 @t397 @t21)) % 0.85/1.06 (define @t403 () (@var "V_c" $$unsorted)) % 0.85/1.06 (define @t404 () (@var "V_b" $$unsorted)) % 0.85/1.06 (define @t405 () (@var "V_a" $$unsorted)) % 0.85/1.06 (define @t406 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t405 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t404 @t403))) % 0.85/1.06 (define @t407 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t405 @t404)) % 0.85/1.06 (define @t408 () (@list @t403 @t404 @t405 @t21)) % 0.85/1.06 (define @t409 () (= @t398 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t395 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t397 @t394)))) % 0.85/1.06 (define @t410 () (@list @t403 @t405 @t404 @t21)) % 0.85/1.06 (define @t411 () (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t397 @t399) @t399)) % 0.85/1.06 (define @t412 () (@list @t395 @t397 @t21)) % 0.85/1.06 (define @t413 () (@list @t404 @t405 @t21)) % 0.85/1.06 (define @t414 () (= @t399 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t395 @t397))) % 0.85/1.06 (define @t415 () (@list @t397 @t21)) % 0.85/1.06 (define @t416 () (tptp.c_Orderings_Obot__class_Obot @t240)) % 0.85/1.06 (define @t417 () (@var "B_c" $$unsorted)) % 0.85/1.06 (define @t418 () (tptp.hBOOL (tptp.hAPP @t110 @t30))) % 0.85/1.06 (define @t419 () (tptp.hBOOL (tptp.hAPP @t36 @t30))) % 0.85/1.06 (define @t420 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t391 @t25 @t19) @t14) @t30))) % 0.85/1.06 (define @t421 () (@list @t30 @t14 @t19 @t25 @t86 @t21)) % 0.85/1.06 (define @t422 () (tptp.c_Orderings_Obot__class_Obot @t98)) % 0.85/1.06 (define @t423 () (@list @t41 @t21)) % 0.85/1.06 (define @t424 () (tptp.c_Set_Oinsert @t21)) % 0.85/1.06 (define @t425 () (tptp.hAPP @t424 @t44)) % 0.85/1.06 (define @t426 () (tptp.hAPP @t425 @t19)) % 0.85/1.06 (define @t427 () (tptp.hBOOL (tptp.hAPP @t42 @t426))) % 0.85/1.06 (define @t428 () (tptp.hBOOL (tptp.hAPP @t42 @t19))) % 0.85/1.06 (define @t429 () (@list @t44 @t19 @t41 @t21)) % 0.85/1.06 (define @t430 () (tptp.hBOOL (tptp.hAPP @t42 (tptp.hAPP @t425 @t25)))) % 0.85/1.06 (define @t431 () (@list @t25 @t44 @t41 @t21)) % 0.85/1.06 (define @t432 () (tptp.hAPP @t424 @t41)) % 0.85/1.06 (define @t433 () (tptp.hAPP (tptp.hAPP @t132 @t41) @t44)) % 0.85/1.06 (define @t434 () (tptp.hAPP @t432 @t19)) % 0.85/1.06 (define @t435 () (tptp.hAPP @t424 @t14)) % 0.85/1.06 (define @t436 () (tptp.hAPP @t435 @t19)) % 0.85/1.06 (define @t437 () (tptp.hAPP @t435 @t25)) % 0.85/1.06 (define @t438 () (not @t51)) % 0.85/1.06 (define @t439 () (@list @t19 @t25 @t14 @t21)) % 0.85/1.06 (define @t440 () (tptp.hAPP @t432 @t25)) % 0.85/1.06 (define @t441 () (@list @t25 @t41 @t21)) % 0.85/1.06 (define @t442 () (tptp.hAPP @t432 @t359)) % 0.85/1.06 (define @t443 () (@list @t19 @t25 @t41 @t21)) % 0.85/1.06 (define @t444 () (= @t25 @t422)) % 0.85/1.06 (define @t445 () (not @t164)) % 0.85/1.06 (define @t446 () (not @t444)) % 0.85/1.06 (define @t447 () (not @t43)) % 0.85/1.06 (define @t448 () (tptp.c_Orderings_Obot__class_Obot @t351)) % 0.85/1.06 (define @t449 () (tptp.c_Orderings_Obot__class_Obot @t93)) % 0.85/1.06 (define @t450 () (@list @t19 @t25 @t86 @t21)) % 0.85/1.06 (define @t451 () (= @t44 @t41)) % 0.85/1.06 (define @t452 () (tptp.hAPP @t432 @t422)) % 0.85/1.06 (define @t453 () (tptp.hBOOL (tptp.hAPP @t45 @t452))) % 0.85/1.06 (define @t454 () (@list @t41 @t44 @t21)) % 0.85/1.06 (define @t455 () (tptp.hAPP @t425 @t422)) % 0.85/1.06 (define @t456 () (tptp.hAPP @t424 @t30)) % 0.85/1.06 (define @t457 () (tptp.hAPP @t456 @t25)) % 0.85/1.06 (define @t458 () (@var "V_d_2" $$unsorted)) % 0.85/1.06 (define @t459 () (= @t41 @t20)) % 0.85/1.06 (define @t460 () (@list @t458 @t20 @t44 @t41 @t21)) % 0.85/1.06 (define @t461 () (tptp.c_Orderings_Obot__class_Obot @t393)) % 0.85/1.06 (define @t462 () (tptp.c_Orderings_Obot__class_Obot @t90)) % 0.85/1.06 (define @t463 () (@list @t86 @t21)) % 0.85/1.06 (define @t464 () (= @t359 @t422)) % 0.85/1.06 (define @t465 () (@list @t14 @t21)) % 0.85/1.06 (define @t466 () (tptp.c_Orderings_Obot__class_Obot @t21)) % 0.85/1.06 (define @t467 () (tptp.class_Lattices_Obounded__lattice__bot @t21)) % 0.85/1.06 (define @t468 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t434 @t222)) % 0.85/1.06 (define @t469 () (tptp.hBOOL (tptp.hAPP @t42 @t222))) % 0.85/1.06 (define @t470 () (=> @t469 (= @t468 (tptp.hAPP @t432 @t364)))) % 0.85/1.06 (define @t471 () (@list @t19 @t222 @t41 @t21)) % 0.85/1.06 (define @t472 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 @t434)) % 0.85/1.06 (define @t473 () (=> @t43 (= @t472 @t442))) % 0.85/1.06 (define @t474 () (=> (not @t469) (= @t468 @t364))) % 0.85/1.06 (define @t475 () (=> @t447 (= @t472 @t359))) % 0.85/1.06 (define @t476 () (tptp.hAPP @t435 @t422)) % 0.85/1.06 (define @t477 () (tptp.class_Orderings_Obot @t21)) % 0.85/1.06 (define @t478 () (tptp.hAPP @t117 (tptp.c_Fun_Ofun__upd @t21 @t86 @t2 @t14 @t317))) % 0.85/1.06 (define @t479 () (tptp.hBOOL (tptp.hAPP @t118 (tptp.c_FuncSet_Oextensional__funcset @t21 @t86 (tptp.hAPP @t435 @t83) @t335)))) % 0.85/1.06 (define @t480 () (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t116) (tptp.c_COMBK @t86 @t21 @t317)) @t448)) % 0.85/1.06 (define @t481 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t391) @t14) @t30))) % 0.85/1.06 (define @t482 () (@list @t30 @t14 @t86 @t21)) % 0.85/1.06 (define @t483 () (tptp.c_Set_Oinsert @t86)) % 0.85/1.06 (define @t484 () (tptp.c_FuncSet_Oextensional__funcset @t86 @t21 (tptp.hAPP (tptp.hAPP @t483 @t14) @t83) @t335)) % 0.85/1.06 (define @t485 () (tptp.c_Fun_Ofun__upd @t86 @t21 @t2 @t14 @t30)) % 0.85/1.06 (define @t486 () (tptp.c_member @t384)) % 0.85/1.06 (define @t487 () (tptp.hAPP @t486 @t2)) % 0.85/1.06 (define @t488 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t21 @t98 @t98) @t424) @t422)) % 0.85/1.06 (define @t489 () (@var "V_X_2" $$unsorted)) % 0.85/1.06 (define @t490 () (tptp.hAPP (tptp.c_Fun_Ofun__upd @t21 @t86 @t2 @t41 @t44) @t14)) % 0.85/1.06 (define @t491 () (tptp.c_Groups_Ominus__class_Ominus @t98 @t25 @t19)) % 0.85/1.06 (define @t492 () (tptp.hBOOL (tptp.hAPP @t23 @t491))) % 0.85/1.06 (define @t493 () (=> @t26 @t24)) % 0.85/1.06 (define @t494 () (tptp.c_Groups_Ominus__class_Ominus @t98 @t367 @t364)) % 0.85/1.06 (define @t495 () (@list @t19 @t25 @t222 @t21)) % 0.85/1.06 (define @t496 () (tptp.c_Groups_Ominus__class_Ominus @t98 @t437 @t19)) % 0.85/1.06 (define @t497 () (=> @t51 (= @t496 @t491))) % 0.85/1.06 (define @t498 () (@list @t25 @t19 @t14 @t21)) % 0.85/1.06 (define @t499 () (tptp.c_Groups_Ominus__class_Ominus @t98 @t25 @t452)) % 0.85/1.06 (define @t500 () (tptp.hAPP @t432 @t499)) % 0.85/1.06 (define @t501 () (tptp.c_Groups_Ominus__class_Ominus @t98 @t25 @t434)) % 0.85/1.06 (define @t502 () (@list @t19 @t41 @t25 @t21)) % 0.85/1.06 (define @t503 () (= @t111 @t30)) % 0.85/1.06 (define @t504 () (tptp.c_Fun_Ofun__upd @t21 @t86 @t2 @t14 @t30)) % 0.85/1.06 (define @t505 () (tptp.hAPP @t2 @t103)) % 0.85/1.06 (define @t506 () (tptp.hAPP @t504 @t103)) % 0.85/1.06 (define @t507 () (= @t103 @t14)) % 0.85/1.06 (define @t508 () (=> (not @t507) (= @t506 @t505))) % 0.85/1.06 (define @t509 () (@list @t30 @t2 @t86 @t21 @t14 @t103)) % 0.85/1.06 (define @t510 () (@var "V_m_2" $$unsorted)) % 0.85/1.06 (define @t511 () (tptp.hAPP @t483 @t111)) % 0.85/1.06 (define @t512 () (tptp.c_Groups_Ominus__class_Ominus @t98 @t25 @t476)) % 0.85/1.06 (define @t513 () (tptp.hAPP @t483 @t41)) % 0.85/1.06 (define @t514 () (tptp.hAPP @t513 @t449)) % 0.85/1.06 (define @t515 () (= @t111 @t236)) % 0.85/1.06 (define @t516 () (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t25)) % 0.85/1.06 (define @t517 () (@list @t30 @t14 @t25 @t2 @t86 @t21)) % 0.85/1.06 (define @t518 () (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t19)) % 0.85/1.06 (define @t519 () (tptp.hAPP (tptp.hAPP @t424 @t4) @t422)) % 0.85/1.06 (define @t520 () (@var "V_a4_2" $$unsorted)) % 0.85/1.06 (define @t521 () (@var "V_a3_2" $$unsorted)) % 0.85/1.06 (define @t522 () (@var "V_a5_2" $$unsorted)) % 0.85/1.06 (define @t523 () (tptp.hAPP (tptp.hAPP @t521 @t210) @t522)) % 0.85/1.06 (define @t524 () (tptp.hAPP tptp.c_fequal @t14)) % 0.85/1.06 (define @t525 () (tptp.c_Relation_OImage @t86 @t21 @t131)) % 0.85/1.06 (define @t526 () (tptp.c_Set_Oimage @t21 @t86 @t2 @t25)) % 0.85/1.06 (define @t527 () (tptp.c_Set_Oimage @t21 @t86 @t504 @t25)) % 0.85/1.06 (define @t528 () (tptp.hAPP @t2 @t41)) % 0.85/1.06 (define @t529 () (tptp.c_Set_Oimage @t86 @t21 @t2 @t25)) % 0.85/1.06 (define @t530 () (= @t44 @t111)) % 0.85/1.06 (define @t531 () (= @t25 @t449)) % 0.85/1.06 (define @t532 () (@list @t25 @t2 @t21 @t86)) % 0.85/1.06 (define @t533 () (tptp.c_Set_Oimage @t86 @t21 @t2 @t19)) % 0.85/1.06 (define @t534 () (tptp.c_Relation_OImage @t86 @t21 @t84)) % 0.85/1.06 (define @t535 () (@var "V_Y_2" $$unsorted)) % 0.85/1.06 (define @t536 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t4) @t25))) % 0.85/1.06 (define @t537 () (= @t529 @t19)) % 0.85/1.06 (define @t538 () (tptp.c_Set_Oimage @t21 @t86 (tptp.c_COMBK @t86 @t21 @t20) @t25)) % 0.85/1.06 (define @t539 () (= @t538 (tptp.hAPP (tptp.hAPP @t483 @t20) @t449))) % 0.85/1.06 (define @t540 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t30) @t526))) % 0.85/1.06 (define @t541 () (tptp.hBOOL (tptp.hAPP @t45 (tptp.hAPP @t525 @t25)))) % 0.85/1.06 (define @t542 () (@list @t25 @t131 @t86 @t44 @t21)) % 0.85/1.06 (define @t543 () (tptp.hAPP (tptp.c_Relation_OImage @t21 @t86 @t131) @t25)) % 0.85/1.06 (define @t544 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 (tptp.hAPP @t534 @t25) (tptp.hAPP @t534 @t19))) % 0.85/1.06 (define @t545 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t93 @t25 @t19)) % 0.85/1.06 (define @t546 () (tptp.hAPP @t534 @t545)) % 0.85/1.06 (define @t547 () (@list @t19 @t25 @t84 @t86 @t21)) % 0.85/1.06 (define @t548 () (tptp.c_Relation_OImage @t21 @t21 @t131)) % 0.85/1.06 (define @t549 () (tptp.hAPP @t548 @t455)) % 0.85/1.06 (define @t550 () (tptp.hAPP @t548 @t452)) % 0.85/1.06 (define @t551 () (tptp.c_Equiv__Relations_Oequiv @t21 @t25 @t131)) % 0.85/1.06 (define @t552 () (tptp.c_Hilbert__Choice_Oinv__into @t86 @t21 @t25 @t2)) % 0.85/1.06 (define @t553 () (tptp.c_FuncSet_Orestrict @t21 @t86 @t552 @t19)) % 0.85/1.06 (define @t554 () (@list @t19 @t25 @t2 @t21 @t86)) % 0.85/1.06 (define @t555 () (= @t550 @t549)) % 0.85/1.06 (define @t556 () (@list @t44 @t41 @t131 @t25 @t21)) % 0.85/1.06 (define @t557 () (=> @t46 @t227)) % 0.85/1.06 (define @t558 () (tptp.hAPP @t456 @t422)) % 0.85/1.06 (define @t559 () (tptp.hAPP @t548 @t476)) % 0.85/1.06 (define @t560 () (= @t559 (tptp.hAPP @t548 @t558))) % 0.85/1.06 (define @t561 () (tptp.c_Hilbert__Choice_Oinv__into @t21 @t86 @t25 @t2)) % 0.85/1.06 (define @t562 () (tptp.hAPP @t561 @t30)) % 0.85/1.06 (define @t563 () (tptp.hBOOL (tptp.hAPP @t193 @t526))) % 0.85/1.06 (define @t564 () (tptp.c_Equiv__Relations_Oquotient @t21)) % 0.85/1.06 (define @t565 () (tptp.hAPP (tptp.hAPP @t564 @t476) @t131)) % 0.85/1.06 (define @t566 () (tptp.class_Orderings_Opreorder @t21)) % 0.85/1.06 (define @t567 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t19 @t25)) % 0.85/1.06 (define @t568 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t19)) % 0.85/1.06 (define @t569 () (tptp.c_Orderings_Oord__class_Oless__eq @t240 @t131 @t196)) % 0.85/1.06 (define @t570 () (@var "V_A_H_2" $$unsorted)) % 0.85/1.06 (define @t571 () (@var "V_r_H_2" $$unsorted)) % 0.85/1.06 (define @t572 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t570 @t25)) % 0.85/1.06 (define @t573 () (@var "B_AA" $$unsorted)) % 0.85/1.06 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t19 @t529)) % 0.85/1.06 (define @t575 () (@list @t25 @t2 @t86 @t19 @t21)) % 0.85/1.06 (define @t576 () (tptp.c_Set_Oimage @t21 @t86 @t2 @t19)) % 0.85/1.06 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t19 @t222)) % 0.85/1.06 (define @t578 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t222)) % 0.85/1.06 (define @t579 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t395 @t397)) % 0.85/1.06 (define @t580 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t397 @t395)) % 0.85/1.06 (define @t581 () (tptp.class_Orderings_Olinorder @t21)) % 0.85/1.06 (define @t582 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t2 @t1)) % 0.85/1.06 (define @t583 () (tptp.class_Orderings_Oord @t86)) % 0.85/1.06 (define @t584 () (tptp.class_Orderings_Oorder @t21)) % 0.85/1.06 (define @t585 () (= @t397 @t395)) % 0.85/1.06 (define @t586 () (@list @t397 @t395 @t21)) % 0.85/1.06 (define @t587 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t397 @t394)) % 0.85/1.06 (define @t588 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t403 @t405)) % 0.85/1.06 (define @t589 () (= @t404 @t403)) % 0.85/1.06 (define @t590 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t405 @t403)) % 0.85/1.06 (define @t591 () (tptp.class_Orderings_Oord @t21)) % 0.85/1.06 (define @t592 () (= @t405 @t404)) % 0.85/1.06 (define @t593 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t14 @t30)) % 0.85/1.06 (define @t594 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t30 @t14)) % 0.85/1.06 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq @t90 @t131 @t196)) % 0.85/1.06 (define @t596 () (@list @t196 @t131 @t86 @t21)) % 0.85/1.06 (define @t597 () (@var "V_R1_2" $$unsorted)) % 0.85/1.06 (define @t598 () (@var "V_R2_2" $$unsorted)) % 0.85/1.06 (define @t599 () (@list @t598 @t597 @t21)) % 0.85/1.06 (define @t600 () (@var "V_Qa_2" $$unsorted)) % 0.85/1.06 (define @t601 () (tptp.hAPP @t600 @t14)) % 0.85/1.06 (define @t602 () (tptp.hBOOL @t601)) % 0.85/1.06 (define @t603 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t174 @t600)) % 0.85/1.06 (define @t604 () (@list @t21 @t19 @t25)) % 0.85/1.06 (define @t605 () (tptp.c_Transitive__Closure_Ortrancl @t21 @t196)) % 0.85/1.06 (define @t606 () (tptp.c_Orderings_Oord__class_Oless__eq @t240 @t252 @t605)) % 0.85/1.06 (define @t607 () (@list @t196 @t131 @t21)) % 0.85/1.06 (define @t608 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t397 @t404)) % 0.85/1.06 (define @t609 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t397 @t405)) % 0.85/1.06 (define @t610 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t397 @t407)) % 0.85/1.06 (define @t611 () (@list @t404 @t405 @t397 @t21)) % 0.85/1.06 (define @t612 () (@var "V_d" $$unsorted)) % 0.85/1.06 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t407 @t397)) % 0.85/1.06 (define @t614 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t399 @t395)) % 0.85/1.06 (define @t615 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t399 @t397)) % 0.85/1.06 (define @t616 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t436)) % 0.85/1.06 (define @t617 () (tptp.tc_fun @t98 tptp.tc_HOL_Obool)) % 0.85/1.06 (define @t618 () (tptp.c_Orderings_Obot__class_Obot @t617)) % 0.85/1.06 (define @t619 () (tptp.hAPP (tptp.hAPP @t564 @t25) @t131)) % 0.85/1.06 (define @t620 () (@var "V_B_H_2" $$unsorted)) % 0.85/1.06 (define @t621 () (tptp.c_Relation_ODomain @t21 @t86 @t19)) % 0.85/1.06 (define @t622 () (tptp.c_Relation_ODomain @t21 @t86 @t25)) % 0.85/1.06 (define @t623 () (tptp.c_Relation_ORange @t86 @t21 @t19)) % 0.85/1.06 (define @t624 () (tptp.c_Relation_ORange @t86 @t21 @t25)) % 0.85/1.06 (define @t625 () (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t222)) % 0.85/1.06 (define @t626 () (@list @t19 @t25 @t222 @t2 @t86 @t21)) % 0.85/1.06 (define @t627 () (tptp.c_Set_Oinsert @t98)) % 0.85/1.06 (define @t628 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t512 @t19)) % 0.85/1.06 (define @t629 () (@list @t19 @t14 @t25 @t21)) % 0.85/1.06 (define @t630 () (= @t489 @t535)) % 0.85/1.06 (define @t631 () (tptp.c_member @t98)) % 0.85/1.06 (define @t632 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t631 @t535) @t619))) % 0.85/1.06 (define @t633 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t631 @t489) @t619))) % 0.85/1.06 (define @t634 () (tptp.hBOOL (tptp.hAPP @t49 @t535))) % 0.85/1.06 (define @t635 () (tptp.hBOOL (tptp.hAPP @t38 @t489))) % 0.85/1.06 (define @t636 () (@list @t30 @t14 @t535 @t489 @t131 @t25 @t21)) % 0.85/1.06 (define @t637 () (tptp.c_Partial__Function_Oflat__lub @t21 @t44 @t25)) % 0.85/1.06 (define @t638 () (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t455)) % 0.85/1.06 (define @t639 () (= (tptp.c_Groups_Ominus__class_Ominus @t21 @t41 @t44) (tptp.c_Groups_Ominus__class_Ominus @t21 @t20 @t458))) % 0.85/1.06 (define @t640 () (tptp.c_Fun_Othe__inv__into @t21 @t86 @t25 @t2)) % 0.85/1.06 (define @t641 () (tptp.hAPP @t640 @t14)) % 0.85/1.06 (define @t642 () (tptp.hBOOL (tptp.hAPP @t601 @t30))) % 0.85/1.06 (define @t643 () (tptp.c_Orderings_Oord__class_Oless__eq @t391 @t174 @t600)) % 0.85/1.06 (define @t644 () (tptp.hBOOL (tptp.hAPP @t180 @t30))) % 0.85/1.06 (define @t645 () (tptp.hAPP @t640 @t30)) % 0.85/1.06 (define @t646 () (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 @t93 @t25 @t19)) % 0.85/1.06 (define @t647 () (tptp.hBOOL (tptp.hAPP @t646 @t44))) % 0.85/1.06 (define @t648 () (tptp.hAPP @t19 @t41)) % 0.85/1.06 (define @t649 () (@var "T_1" $$unsorted)) % 0.85/1.06 (define @t650 () (@var "T_2" $$unsorted)) % 0.85/1.06 (define @t651 () (tptp.tc_fun @t650 @t649)) % 0.85/1.06 (define @t652 () (tptp.class_Lattices_Obounded__lattice @t649)) % 0.85/1.06 (define @t653 () (@list @t650 @t649)) % 0.85/1.06 (define @t654 () (tptp.class_Lattices_Olattice @t649)) % 0.85/1.06 (define @t655 () (@var "V_P" $$unsorted)) % 0.85/1.06 (define @t656 () (@var "V_Q" $$unsorted)) % 0.85/1.06 (define @t657 () (tptp.hAPP @t600 @t84)) % 0.85/1.06 (define @t658 () (tptp.hAPP @t174 @t84)) % 0.85/1.06 (define @t659 () (@list @t84 @t600 @t174 @t21 @t219 @t86)) % 0.85/1.06 (define @t660 () (tptp.hBOOL (tptp.hAPP @t524 @t30))) % 0.85/1.06 (define @t661 () (@list @t30 @t14)) % 0.85/1.06 (define @t662 () (tptp.hBOOL @t174)) % 0.85/1.06 (define @t663 () (not @t662)) % 0.85/1.06 (define @t664 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t174))) % 0.85/1.06 (define @t665 () (@list @t174)) % 0.85/1.06 (define @t666 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t174) @t600))) % 0.85/1.06 (define @t667 () (tptp.hBOOL @t600)) % 0.85/1.06 (define @t668 () (@list @t600 @t174)) % 0.85/1.06 (define @t669 () (not @t666)) % 0.85/1.06 (define @t670 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP tptp.v_F tptp.v_Q____)) tptp.c_Arrow__Order__Mirabelle_OLin))) % 0.85/1.06 (define @t671 () (not @t129)) % 0.85/1.06 (define @t672 () (or @t671 @t109 @t126)) % 0.85/1.06 (define @t673 () (not @t13)) % 0.85/1.06 (define @t674 () (not @t76)) % 0.85/1.06 (define @t675 () (or @t674 @t673 @t670)) % 0.85/1.06 (define @t676 () (not @t675)) % 0.85/1.06 (define @t677 () (forall @t120 @t672)) % 0.85/1.06 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 0.85/1.06 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 0.85/1.06 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 0.85/1.06 (assume @p4 @t13) % 0.85/1.06 (assume @p5 (forall @t18 (=> @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t15 @t14)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 0.85/1.06 (assume @p6 (forall @t18 (=> @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Arrow__Order__Mirabelle_Omktop @t15 @t14)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 0.85/1.06 (assume @p7 (forall (@list @t20 @t21 @t19 @t25) (=> @t29 (=> @t28 (not (=> (not @t26) @t24)))))) % 0.85/1.06 (assume @p8 (forall @t34 (=> @t33 (=> @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP (tptp.hAPP @t31 @t14) @t30)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 0.85/1.06 (assume @p9 (forall @t34 (=> @t33 (=> @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Arrow__Order__Mirabelle_Obelow @t15 @t14 @t30)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 0.85/1.06 (assume @p10 (not (= tptp.v_a_H____ tptp.v_b_H____))) % 0.85/1.06 (assume @p11 (exists (@list @t35) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t35) tptp.c_Arrow__Order__Mirabelle_OLin)))) % 0.85/1.06 (assume @p12 (forall @t40 (= @t39 @t37))) % 0.85/1.06 (assume @p13 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t12 tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.85/1.06 (assume @p14 (not (= tptp.v_b____ tptp.v_a_H____))) % 0.85/1.06 (assume @p15 (not (= tptp.v_a____ tptp.v_b_H____))) % 0.85/1.06 (assume @p16 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t12 tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 0.85/1.06 (assume @p17 (forall @t48 (=> @t47 (=> @t46 @t43)))) % 0.85/1.06 (assume @p18 (forall (@list @t25 @t21 @t30 @t14) (=> @t32 (= @t39 @t50)))) % 0.85/1.06 (assume @p19 (forall (@list @t14 @t21 @t19 @t25) (=> @t29 (= @t39 @t51)))) % 0.85/1.06 (assume @p20 (forall @t58 (= @t57 (forall @t8 (=> @t56 (= @t55 @t53)))))) % 0.85/1.06 (assume @p21 (forall @t70 (=> @t69 (=> @t17 (= (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Arrow__Order__Mirabelle_Obelow @t15 @t41 @t44))) (and @t33 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP @t60 @t44)) @t15))) (=> (not @t68) (and (=> @t64 (or @t67 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP @t66 @t30)) @t15)))) (=> @t65 @t63))))))))) % 0.85/1.06 (assume @p22 (forall @t70 (=> @t69 (=> @t17 (= (tptp.hBOOL (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t31 @t41) @t44))) (and @t33 (=> @t71 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP @t72 @t30)) @t15))) (=> (not @t71) (and (=> @t67 (or @t64 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP @t60 @t41)) @t15)))) (=> (not @t67) @t63))))))))) % 0.85/1.06 (assume @p23 (forall (@list @t52) (= (tptp.hAPP tptp.v_Q____ @t52) (tptp.c_HOL_OLet @t10 @t10 (tptp.hAPP (tptp.hAPP (tptp.c_If @t10 (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_a____) tptp.v_a_H____)) @t73) (tptp.c_Arrow__Order__Mirabelle_Obelow @t73 tptp.v_a_H____ tptp.v_a____)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t10 @t10 @t10) (tptp.c_If @t10 (tptp.hAPP (tptp.hAPP tptp.c_fequal tptp.v_b____) tptp.v_b_H____))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 tptp.tc_Arrow__Order__Mirabelle_Oalt @t10) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t10 tptp.tc_Arrow__Order__Mirabelle_Oalt (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t10)) tptp.c_Arrow__Order__Mirabelle_Oabove) tptp.v_b____)) tptp.v_b_H____)))))) % 0.85/1.06 (assume @p24 @t76) % 0.85/1.06 (assume @p25 (forall @t77 (= (tptp.hBOOL (tptp.hAPP @t38 (tptp.hAPP tptp.c_fequal @t30))) @t32))) % 0.85/1.06 (assume @p26 (forall @t78 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Relation_Oconverse tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt @t15)) tptp.c_Arrow__Order__Mirabelle_OLin)) @t17))) % 0.85/1.06 (assume @p27 (forall (@list @t44 @t41 @t15) (=> @t17 (=> (tptp.hBOOL (tptp.hAPP @t79 @t15)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP @t66 @t41)) @t15))))))) % 0.85/1.06 (assume @p28 (forall (@list @t30 @t14 @t15) (=> @t17 (=> @t33 (= (not @t63) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP (tptp.hAPP @t59 @t30) @t14)) @t15))))))) % 0.85/1.06 (assume @p29 (forall @t78 (=> @t17 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t12 (tptp.c_COMBK @t10 tptp.tc_Arrow__Order__Mirabelle_Oindi @t15)) tptp.c_Arrow__Order__Mirabelle_OProf))))) % 0.85/1.06 (assume @p30 (forall @t82 (= (tptp.hBOOL (tptp.hAPP @t81 (tptp.hAPP tptp.v_P____ @t80))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t61 (tptp.hAPP (tptp.hAPP @t59 tptp.v_a_H____) tptp.v_b_H____)) (tptp.hAPP tptp.v_P_H____ @t80)))))) % 0.85/1.07 (assume @p31 (not (= tptp.v_a____ tptp.v_b____))) % 0.85/1.07 (assume @p32 (tptp.hBOOL (tptp.hAPP @t81 (tptp.hAPP tptp.v_F tptp.v_P____)))) % 0.85/1.07 (assume @p33 (forall @t97 (= (= @t96 @t95) @t85))) % 0.85/1.07 (assume @p34 (forall @t102 (= (= @t101 @t100) @t85))) % 0.85/1.07 (assume @p35 (forall @t108 (= (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Arrow__Order__Mirabelle_Omktop @t15 @t103))) (and @t107 (=> @t104 @t33) (=> @t105 @t63))))) % 0.85/1.07 (assume @p36 (forall @t108 (= (tptp.hBOOL (tptp.hAPP @t62 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t15 @t103))) (and @t105 (=> @t106 @t33) (=> @t107 @t63))))) % 0.85/1.07 (assume @p37 (forall @t120 (=> @t119 (=> (not @t114) @t109)))) % 0.85/1.07 (assume @p38 (forall @t58 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t75 @t54) @t74)) (=> (forall @t8 (=> @t56 (forall @t125 (=> (not (= @t122 @t121)) (=> (tptp.hBOOL (tptp.hAPP @t123 @t53)) @t124))))) @t57)))) % 0.85/1.07 (assume @p39 @t130) % 0.85/1.07 (assume @p40 (forall @t120 (=> @t119 (=> @t39 @t114)))) % 0.85/1.07 (assume @p41 (forall @t142 (= @t141 @t136))) % 0.85/1.07 (assume @p42 (forall @t142 (=> @t144 (tptp.hBOOL (tptp.hAPP @t135 @t143))))) % 0.85/1.07 (assume @p43 (forall @t142 (=> @t141 @t136))) % 0.85/1.07 (assume @p44 (forall @t147 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t146) @t145) (tptp.c_FuncSet_OPi @t21 @t21 @t25 (tptp.c_COMBK @t98 @t21 @t25)))))) % 0.85/1.07 (assume @p45 (forall @t151 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t54) (forall @t8 (=> @t56 (forall @t150 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t12 @t148) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall @t125 (=> (forall @t82 (= @t149 (tptp.hBOOL (tptp.hAPP @t123 (tptp.hAPP @t148 @t80))))) (= @t124 (tptp.hBOOL (tptp.hAPP @t123 (tptp.hAPP @t54 @t148))))))))))))) % 0.85/1.07 (assume @p46 (forall @t151 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t54) (forall @t8 (=> @t56 (forall @t125 (=> (forall @t82 @t149) @t124))))))) % 0.85/1.07 (assume @p47 (forall @t152 (= (tptp.c_Relation_Oconverse @t86 @t21 @t143) @t131))) % 0.85/1.07 (assume @p48 (forall @t160 (= (tptp.c_Relation_Oirrefl @t21 @t131) (forall @t8 (not @t159))))) % 0.85/1.07 (assume @p49 (forall @t166 (=> @t165 @t119))) % 0.85/1.07 (assume @p50 (forall (@list @t30 @t14 @t84 @t86 @t21) (= (tptp.c_FunDef_Oin__rel @t21 @t86 @t84 @t14 @t30) (tptp.hBOOL (tptp.hAPP @t169 @t84))))) % 0.85/1.07 (assume @p51 (forall (@list @t131 @t172 @t86 @t21) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 @t172) @t137)) (not (forall @t173 (=> (= @t172 (tptp.hAPP (tptp.hAPP @t87 @t170) @t4)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t134 (tptp.hAPP @t171 @t170)) @t131))))))))) % 0.85/1.07 (assume @p52 (forall (@list @t21 @t84 @t30 @t175 @t86 @t14 @t174) (=> @t181 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 (tptp.hAPP (tptp.hAPP @t178 @t175) @t30)) (tptp.hAPP @t84 @t14))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP (tptp.hAPP @t176 (tptp.hAPP @t167 @t175)) @t168)) (tptp.c_Recdef_Osame__fst @t21 @t86 @t174 @t84))))))) % 0.85/1.07 (assume @p53 (forall @t142 (=> @t144 (tptp.hBOOL (tptp.hAPP @t183 @t182))))) % 0.85/1.07 (assume @p54 (forall (@list @t44 @t41) (=> @t69 (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t16 @t4) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP @t79 @t4))))))) % 0.85/1.07 (assume @p55 (forall @t48 (=> @t47 (=> @t43 (tptp.hBOOL (tptp.hAPP @t186 @t184)))))) % 0.85/1.07 (assume @p56 (forall @t189 (= (tptp.hBOOL (tptp.hAPP @t188 @t184)) (and @t32 @t39)))) % 0.85/1.07 (assume @p57 (forall @t147 (= (tptp.c_Relation_ORange @t21 @t21 @t184) @t25))) % 0.85/1.07 (assume @p58 (forall @t147 (= (tptp.c_Relation_Oconverse @t21 @t21 @t184) @t184))) % 0.85/1.07 (assume @p59 (forall @t192 (= (tptp.hBOOL (tptp.hAPP @t42 @t191)) (exists @t190 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t134 (tptp.hAPP (tptp.hAPP @t132 @t170) @t41)) @t131)))))) % 0.85/1.07 (assume @p60 (forall @t195 (= (tptp.c_Predicate_ORangeP @t21 @t86 @t194 @t14) (tptp.hBOOL (tptp.hAPP @t193 @t182))))) % 0.85/1.07 (assume @p61 (forall (@list @t196 @t131 @t197 @t198 @t44 @t41 @t86 @t21) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP (tptp.hAPP @t176 @t139) (tptp.hAPP (tptp.hAPP @t87 @t198) @t197))) (tptp.c_Wellfounded_Olex__prod @t21 @t86 @t131 @t196))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t185 @t198)) @t131)) (and (= @t41 @t198) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 (tptp.hAPP (tptp.hAPP @t178 @t44) @t197)) @t196))))))) % 0.85/1.07 (assume @p62 (forall (@list @t25 @t20 @t21) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 @t20) @t184)) (not (forall @t8 (=> @t164 (not (= @t20 @t155)))))))) % 0.85/1.07 (assume @p63 (forall (@list @t131 @t86 @t44 @t21) (=> (tptp.hBOOL (tptp.hAPP @t45 @t191)) (not (forall @t8 (not @t199)))))) % 0.85/1.07 (assume @p64 (forall @t166 (=> @t200 @t129))) % 0.85/1.07 (assume @p65 (forall @t142 (=> @t144 @t202))) % 0.85/1.07 (assume @p66 (forall (@list @t30 @t14 @t131 @t86 @t21) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t21 @t86 @t194) @t14) @t30)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t134 (tptp.hAPP (tptp.hAPP @t132 @t14) @t30)) @t143))))) % 0.85/1.07 (assume @p67 (forall @t160 (= (tptp.c_Nitpick_Orefl_H @t21 @t131) (forall @t8 @t159)))) % 0.85/1.07 (assume @p68 (forall @t204 (=> @t203 (tptp.c_Predicate_ORangeP @t21 @t86 @t131 @t44)))) % 0.85/1.07 (assume @p69 (forall (@list @t205 @t131 @t86 @t21) (= (tptp.c_Predicate_ORangeP @t21 @t86 @t131 @t205) (exists (@list @t122) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t122) @t205)))))) % 0.85/1.07 (assume @p70 (forall @t209 (=> @t208 @t206))) % 0.85/1.07 (assume @p71 (forall @t204 (=> @t203 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t207 @t44) @t41))))) % 0.85/1.07 (assume @p72 (forall (@list @t210 @t205 @t131 @t86 @t21) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t207 @t205) @t210)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t210) @t205))))) % 0.85/1.07 (assume @p73 (forall @t209 (= @t208 @t206))) % 0.85/1.07 (assume @p74 (forall @t152 (= (tptp.c_Predicate_Oconversep @t86 @t21 @t207) @t131))) % 0.85/1.07 (assume @p75 (forall @t211 (= (tptp.c_Predicate_Oconversep @t21 @t21 tptp.c_fequal) tptp.c_fequal))) % 0.85/1.07 (assume @p76 (forall @t77 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Oconversep @t21 @t21 (tptp.hAPP (tptp.c_COMBB @t98 @t98 @t21 (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t21 tptp.c_fNot)) tptp.c_fequal)) @t14) @t30)) @t33))) % 0.85/1.07 (assume @p77 (forall @t147 (= (tptp.c_Relation_ODomain @t21 @t21 @t184) @t25))) % 0.85/1.07 (assume @p78 (forall @t152 (= @t191 @t212))) % 0.85/1.07 (assume @p79 (forall @t213 (= @t212 @t191))) % 0.85/1.07 (assume @p80 (forall @t152 (= (tptp.c_Relation_ORange @t86 @t21 @t143) @t201))) % 0.85/1.07 (assume @p81 (forall @t192 (= @t202 (exists @t190 @t214)))) % 0.85/1.07 (assume @p82 (forall @t195 (= (tptp.c_Predicate_ODomainP @t21 @t86 @t194 @t14) (tptp.hBOOL (tptp.hAPP @t38 @t201))))) % 0.85/1.07 (assume @p83 (forall @t192 (=> @t202 (not (forall @t190 (not @t214)))))) % 0.85/1.07 (assume @p84 (forall (@list @t19 @t86 @t1 @t2 @t25 @t21) (=> (forall (@list @t216) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t216) @t25)) (= (tptp.hAPP @t2 @t216) (tptp.hAPP @t1 @t216)))) (= @t119 (tptp.hBOOL (tptp.hAPP @t215 @t115)))))) % 0.85/1.07 (assume @p85 (forall (@list @t221 @t217 @t218 @t222 @t1 @t219 @t19 @t25 @t2 @t86 @t21) (=> @t129 (=> @t224 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t219 @t218)) @t217) (tptp.c_FuncSet_OPi @t219 @t218 @t222 (tptp.c_COMBK (tptp.tc_fun @t218 tptp.tc_HOL_Obool) @t219 @t221)))) (= (tptp.c_FuncSet_Ocompose @t21 @t219 @t218 @t25 @t217 @t220) (tptp.c_FuncSet_Ocompose @t21 @t86 @t218 @t25 (tptp.c_FuncSet_Ocompose @t86 @t219 @t218 @t19 @t217 @t1) @t2))))))) % 0.85/1.07 (assume @p86 (forall (@list @t222 @t1 @t219 @t19 @t25 @t2 @t86 @t21) (=> @t129 (=> @t224 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t21 @t219)) @t220) (tptp.c_FuncSet_OPi @t21 @t219 @t25 (tptp.c_COMBK @t223 @t21 @t222)))))))) % 0.85/1.07 (assume @p87 (forall (@list @t41 @t131 @t44 @t21) (=> @t228 (=> @t227 @t226)))) % 0.85/1.07 (assume @p88 (forall @t229 (= @t226 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t154 @t41)) @t131)) (tptp.hBOOL (tptp.hAPP @t163 @t225))))))) % 0.85/1.07 (assume @p89 (forall @t235 (= @t234 (forall @t8 (=> @t164 (forall @t150 (=> @t233 (=> @t231 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t154 @t148)) @t131)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP (tptp.hAPP @t153 @t148) @t4)) @t131))))))))))) % 0.85/1.07 (assume @p90 (forall (@list @t2 @t131 @t86 @t30 @t14 @t21) (= (tptp.hBOOL (tptp.hAPP @t188 (tptp.c_Relation_Oinv__image @t86 @t21 @t131 @t2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t179 (tptp.hAPP (tptp.hAPP @t178 @t111) @t236)) @t131))))) % 0.85/1.07 (assume @p91 (forall @t204 (=> @t203 (tptp.c_Predicate_ODomainP @t21 @t86 @t131 @t41)))) % 0.85/1.07 (assume @p92 (forall (@list @t2 @t1 @t86 @t219 @t25 @t14 @t21) (=> @t39 (= (tptp.hAPP @t237 @t14) (tptp.hAPP @t1 @t111))))) % 0.85/1.07 (assume @p93 (forall (@list @t2 @t84 @t86 @t21) (= (tptp.c_Relation_Oconverse @t21 @t21 (tptp.c_Relation_Oinv__image @t86 @t21 @t84 @t2)) (tptp.c_Relation_Oinv__image @t86 @t21 (tptp.c_Relation_Oconverse @t86 @t86 @t84) @t2)))) % 0.85/1.07 (assume @p94 (forall @t235 (= (tptp.c_Relation_Ototal__on @t21 @t25 @t238) @t234))) % 0.85/1.07 (assume @p95 (forall @t243 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t21 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t21 @t240 @t98) (tptp.hAPP (tptp.c_COMBB @t242 (tptp.tc_fun @t240 @t98) @t21 (tptp.c_COMBC @t21 @t240 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t21 @t156) @t242 @t21 (tptp.c_COMBB @t156 @t241 @t21 @t157)) @t153))) @t131)) @t14)) @t239))) % 0.85/1.07 (assume @p96 (forall @t246 (=> (forall @t190 (=> @t245 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t170) @t225)))) @t239))) % 0.85/1.07 (assume @p97 (forall (@list @t84 @t14 @t21) (=> (not (tptp.hBOOL (tptp.hAPP @t38 @t247))) (not (forall @t250 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t249 @t14)) @t84)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t248) @t247)))))))) % 0.85/1.07 (assume @p98 (forall (@list @t1 @t2 @t25 @t219 @t86 @t21) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 (tptp.c_FuncSet_Ocompose @t21 @t219 @t86 @t25 @t2 @t1)) @t251)))) % 0.85/1.07 (assume @p99 (forall (@list @t44 @t131 @t41 @t21) (=> @t226 (=> @t254 @t228)))) % 0.85/1.07 (assume @p100 (forall (@list @t131 @t41 @t44 @t21) (=> @t254 (=> @t226 @t228)))) % 0.85/1.07 (assume @p101 (forall @t257 (=> @t256 (=> @t43 (tptp.hBOOL (tptp.hAPP @t255 @t131)))))) % 0.85/1.07 (assume @p102 (forall @t259 (=> @t256 (=> @t258 @t39)))) % 0.85/1.07 (assume @p103 (forall (@list @t41 @t44 @t131 @t21) (=> (tptp.hBOOL (tptp.hAPP @t260 @t44)) (=> @t203 @t261)))) % 0.85/1.07 (assume @p104 (forall (@list @t41 @t131 @t21) (= @t261 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t4) @t41)) (tptp.hBOOL (tptp.hAPP @t260 @t4))))))) % 0.85/1.07 (assume @p105 (forall @t235 (= (tptp.c_Relation_Orefl__on @t21 @t25 @t238) @t256))) % 0.85/1.07 (assume @p106 (forall @t147 (tptp.c_Relation_Orefl__on @t21 @t25 @t184))) % 0.85/1.07 (assume @p107 (forall @t259 (=> @t256 (=> @t258 @t50)))) % 0.85/1.07 (assume @p108 (forall @t229 (tptp.hBOOL (tptp.hAPP @t255 @t252)))) % 0.85/1.07 (assume @p109 (forall @t265 (=> @t264 (tptp.hBOOL (tptp.hAPP @t263 @t252))))) % 0.85/1.07 (assume @p110 (forall (@list @t30 @t84 @t14 @t21) (=> (not (tptp.hBOOL (tptp.hAPP @t38 (tptp.c_Relation_ODomain @t21 @t21 @t84)))) (= @t267 @t32)))) % 0.85/1.07 (assume @p111 (forall @t274 (=> @t273 @t271))) % 0.85/1.07 (assume @p112 (forall @t275 (=> @t271 @t273))) % 0.85/1.07 (assume @p113 (forall @t282 (=> @t281 @t280))) % 0.85/1.07 (assume @p114 (forall @t282 (=> @t281 (=> @t283 @t277)))) % 0.85/1.07 (assume @p115 (forall @t160 (= (tptp.c_Transitive__Closure_Ortrancl @t21 @t252) @t252))) % 0.85/1.07 (assume @p116 (forall @t160 (= @t272 (tptp.c_Relation_Oconverse @t21 @t21 @t252)))) % 0.85/1.07 (assume @p117 (forall @t282 (=> @t227 @t280))) % 0.85/1.07 (assume @p118 (forall (@list @t19 @t25 @t1 @t86 @t21) (=> (tptp.hBOOL (tptp.hAPP @t215 @t128)) (=> @t284 (= (tptp.c_FuncSet_Ocompose @t21 @t21 @t86 @t25 @t1 (tptp.c_FuncSet_Orestrict @t21 @t21 @t145 @t25)) @t1))))) % 0.85/1.07 (assume @p119 (forall @t286 (=> @t129 (=> @t285 (= (tptp.c_FuncSet_Ocompose @t21 @t86 @t86 @t25 (tptp.c_FuncSet_Orestrict @t86 @t86 (tptp.c_COMBI @t86) @t19) @t2) @t2))))) % 0.85/1.07 (assume @p120 (forall (@list @t103 @t30 @t14 @t131 @t21) (=> (tptp.c_Relation_Osingle__valued @t21 @t21 @t131) (=> @t290 (=> @t289 (or (tptp.hBOOL (tptp.hAPP @t287 @t252)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP (tptp.hAPP @t153 @t103) @t30)) @t252)))))))) % 0.85/1.07 (assume @p121 (forall @t309 (=> @t308 (=> @t306 (=> (forall @t125 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP @t305 @t299)) @t302)) (forall (@list @t295 @t294) (=> @t301 (=> @t297 @t296))))) @t293))))) % 0.85/1.07 (assume @p122 (forall @t309 (=> @t308 (=> @t293 (=> (forall (@list @t122 @t121 @t295 @t294) (=> @t301 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP (tptp.hAPP @t176 @t298) @t307)) @t302)) (=> @t296 @t297)))) @t306))))) % 0.85/1.07 (assume @p123 (forall (@list @t131 @t310 @t311 @t313 @t314 @t86 @t21) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP @t316 @t312)) @t302)) (=> (not (= @t315 @t312)) (not (forall @t125 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP @t316 @t299)) @t131)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t177 (tptp.hAPP @t300 @t312)) @t302)))))))))) % 0.85/1.07 (assume @p124 (forall @t319 (=> @t285 (=> @t109 @t318)))) % 0.85/1.07 (assume @p125 (forall @t322 (and (=> @t39 (= @t321 @t111)) (=> @t109 (= @t321 @t317))))) % 0.85/1.07 (assume @p126 (forall @t147 (tptp.c_Relation_Osingle__valued @t21 @t21 @t184))) % 0.85/1.07 (assume @p127 (forall (@list @t2 @t1 @t25 @t86 @t219 @t21) (= @t237 (tptp.c_FuncSet_Orestrict @t21 @t86 (tptp.hAPP (tptp.c_COMBB @t219 @t86 @t21 @t1) @t2) @t25)))) % 0.85/1.07 (assume @p128 (forall @t324 (tptp.hBOOL (tptp.hAPP @t323 @t251)))) % 0.85/1.07 (assume @p129 (forall @t324 (=> @t285 (= @t320 @t2)))) % 0.85/1.07 (assume @p130 (forall (@list @t103 @t30 @t14 @t131 @t86 @t21) (=> @t325 (=> (tptp.hBOOL (tptp.hAPP @t169 @t131)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t89 (tptp.hAPP @t167 @t103)) @t131)) @t104))))) % 0.85/1.07 (assume @p131 (forall @t213 (= @t325 @t327))) % 0.85/1.07 (assume @p132 (forall @t166 (=> @t165 (tptp.hBOOL (tptp.hAPP @t323 @t115))))) % 0.85/1.07 (assume @p133 (forall @t166 (=> @t200 (tptp.hBOOL (tptp.hAPP @t323 @t128))))) % 0.85/1.07 (assume @p134 (forall (@list @t2 @t86 @t131 @t14 @t30 @t21) (and (=> @t332 (= @t331 @t236)) (=> (not @t332) (= @t331 @t317))))) % 0.85/1.07 (assume @p135 (forall @t338 (=> @t337 (=> @t334 @t318)))) % 0.85/1.07 (assume @p136 (forall (@list @t1 @t25 @t2 @t86 @t21) (=> @t285 (=> @t284 (=> (forall @t8 (=> @t164 @t7)) @t3))))) % 0.85/1.07 (assume @p137 (forall @t213 (=> @t327 @t325))) % 0.85/1.07 (assume @p138 (forall @t345 (=> @t281 (=> @t344 (=> (forall @t190 (=> @t343 (forall @t250 (=> @t342 (=> @t341 @t340))))) @t339))))) % 0.85/1.07 (assume @p139 (forall @t338 (=> @t337 (=> @t333 (tptp.hBOOL (tptp.hAPP @t113 @t335)))))) % 0.85/1.07 (assume @p140 (forall (@list @t86 @t41 @t14 @t21 @t346 @t347) (=> (tptp.hBOOL (tptp.hAPP @t348 @t347)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t328 @t346) @t347) @t41) @t14) (tptp.hAPP @t346 @t14))))) % 0.85/1.07 (assume @p141 (forall (@list @t1 @t14 @t131 @t2 @t86 @t21) (= (= @t330 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t328 @t1) @t131) @t14)) (forall @t190 (=> @t245 (= (tptp.hAPP @t2 @t170) (tptp.hAPP @t1 @t170))))))) % 0.85/1.07 (assume @p142 (forall (@list @t2 @t86 @t131 @t41 @t14 @t21) (=> (tptp.hBOOL (tptp.hAPP @t348 @t131)) (= (tptp.hAPP (tptp.hAPP @t329 @t41) @t14) @t111)))) % 0.85/1.07 (assume @p143 (forall @t350 (tptp.c_Recdef_Oadm__wf @t21 @t86 @t84 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t116 @t146 @t116) (tptp.hAPP (tptp.c_COMBB @t349 (tptp.tc_fun @t146 @t116) @t116 (tptp.c_COMBS @t21 @t21 @t86)) (tptp.hAPP (tptp.c_COMBB @t349 @t349 @t116 (tptp.c_COMBB @t116 @t116 @t21 @t54)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t116 @t240 @t349) @t328) @t84)))) @t145)))) % 0.85/1.07 (assume @p144 (forall (@list @t335 @t83 @t86 @t21) (= @t336 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t351 (tptp.c_FuncSet_OPi @t21 @t86 @t83 (tptp.c_COMBK @t93 @t21 @t335)) (tptp.c_FuncSet_Oextensional @t21 @t86 @t83))))) % 0.85/1.07 (assume @p145 (forall @t352 (=> @t281 (=> @t69 (not (forall @t190 (=> @t343 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t244 @t44)) @t131)))))))))) % 0.85/1.07 (assume @p146 (forall @t355 (=> @t289 (=> @t107 (not (forall @t190 (=> @t354 (not (tptp.hBOOL (tptp.hAPP @t353 @t252)))))))))) % 0.85/1.07 (assume @p147 (forall @t345 (=> @t281 (=> @t339 (=> (forall (@list @t170 @t248) (=> @t342 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t249 @t44)) @t252)) (=> @t340 @t341)))) @t344))))) % 0.85/1.07 (assume @p148 (forall @t352 (=> @t357 @t281))) % 0.85/1.07 (assume @p149 (forall @t361 (=> @t360 (not (=> @t37 (not @t358)))))) % 0.85/1.07 (assume @p150 (forall (@list @t21 @t19 @t14 @t25) (=> @t37 (=> @t358 @t360)))) % 0.85/1.07 (assume @p151 (forall @t363 (=> @t362 (not @t28)))) % 0.85/1.07 (assume @p152 (forall @t363 (=> @t26 (=> @t24 @t362)))) % 0.85/1.07 (assume @p153 (forall @t352 (=> @t227 @t357))) % 0.85/1.07 (assume @p154 (forall @t361 (=> @t360 @t358))) % 0.85/1.07 (assume @p155 (forall @t361 (=> @t360 @t37))) % 0.85/1.07 (assume @p156 (forall @t366 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t359 @t222) @t365))) % 0.85/1.07 (assume @p157 (forall @t366 (= @t365 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t19 @t367)))) % 0.85/1.07 (assume @p158 (forall @t368 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 @t359) @t359))) % 0.85/1.07 (assume @p159 (forall @t368 (= @t359 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t19 @t25)))) % 0.85/1.07 (assume @p160 (forall @t147 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 @t25) @t25))) % 0.85/1.07 (assume @p161 (forall (@list @t196 @t19 @t131 @t25 @t21) (=> @t256 (=> (tptp.c_Relation_Orefl__on @t21 @t19 @t196) (tptp.c_Relation_Orefl__on @t21 @t359 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t240 @t131 @t196)))))) % 0.85/1.07 (assume @p162 (forall @t363 (=> @t362 @t24))) % 0.85/1.07 (assume @p163 (forall @t363 (=> @t362 @t26))) % 0.85/1.07 (assume @p164 (forall @t363 (= @t362 (and @t26 @t24)))) % 0.85/1.07 (assume @p165 (forall @t265 (=> @t264 @t369))) % 0.85/1.07 (assume @p166 (forall @t371 (= (tptp.c_Transitive__Closure_Ortrancl @t21 @t370) @t266))) % 0.85/1.07 (assume @p167 (forall @t371 (= (tptp.c_Transitive__Closure_Otrancl @t21 @t266) @t266))) % 0.85/1.07 (assume @p168 (forall @t160 (= @t373 @t372))) % 0.85/1.07 (assume @p169 (forall @t160 (= (tptp.c_Relation_ODomain @t21 @t21 @t356) (tptp.c_Relation_ODomain @t21 @t21 @t131)))) % 0.85/1.07 (assume @p170 (forall @t160 (= (tptp.c_Relation_ORange @t21 @t21 @t356) (tptp.c_Relation_ORange @t21 @t21 @t131)))) % 0.85/1.07 (assume @p171 (forall (@list @t14 @t83 @t84 @t21) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t101 @t100) @t14)) (tptp.hBOOL (tptp.hAPP @t38 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t84 @t83)))))) % 0.85/1.07 (assume @p172 (forall @t282 (=> @t357 @t375))) % 0.85/1.07 (assume @p173 (forall @t282 (=> @t357 @t376))) % 0.85/1.07 (assume @p174 (forall @t282 (=> @t227 @t375))) % 0.85/1.07 (assume @p175 (forall (@list @t20 @t84 @t44 @t41 @t21) (=> (tptp.hBOOL (tptp.hAPP @t186 @t84)) (=> (tptp.hBOOL (tptp.hAPP @t278 @t84)) (tptp.hBOOL (tptp.hAPP @t276 @t370)))))) % 0.85/1.07 (assume @p176 (forall @t378 (= @t267 (or @t32 (and @t33 @t377))))) % 0.85/1.07 (assume @p177 (forall @t282 (=> @t227 @t379))) % 0.85/1.07 (assume @p178 (forall (@list @t84 @t44 @t41 @t21) (=> (tptp.hBOOL (tptp.hAPP @t186 @t266)) (or @t47 (and @t69 (tptp.hBOOL (tptp.hAPP @t186 @t370))))))) % 0.85/1.07 (assume @p179 (forall @t282 (=> @t281 @t376))) % 0.85/1.07 (assume @p180 (forall @t282 (=> @t357 @t379))) % 0.85/1.07 (assume @p181 (forall (@list @t103 @t131 @t30 @t14 @t21) (=> @t290 (=> (tptp.hBOOL (tptp.hAPP @t287 @t356)) @t380)))) % 0.85/1.07 (assume @p182 (forall @t274 (=> @t382 @t381))) % 0.85/1.07 (assume @p183 (forall @t274 (=> @t381 @t382))) % 0.85/1.07 (assume @p184 (forall (@list @t14 @t1 @t2 @t86 @t21) (=> @t385 (= (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t384 @t2 @t1) @t14) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t111 @t383))))) % 0.85/1.07 (assume @p185 (forall @t378 (=> @t377 (exists @t250 (and (tptp.hBOOL (tptp.hAPP @t387 @t84)) (tptp.hBOOL (tptp.hAPP @t386 @t266))))))) % 0.85/1.07 (assume @p186 (forall @t378 (=> @t377 (exists @t250 (and (tptp.hBOOL (tptp.hAPP @t387 @t266)) (tptp.hBOOL (tptp.hAPP @t386 @t84))))))) % 0.85/1.07 (assume @p187 (forall @t160 (= @t389 @t388))) % 0.85/1.07 (assume @p188 (forall @t350 (= (tptp.c_Recdef_Oadm__wf @t21 @t86 @t84 @t54) (forall (@list @t346 @t390 @t4) (=> (forall @t250 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t249 @t4)) @t84)) (= (tptp.hAPP @t346 @t248) (tptp.hAPP @t390 @t248)))) (= (tptp.hAPP (tptp.hAPP @t54 @t346) @t4) (tptp.hAPP (tptp.hAPP @t54 @t390) @t4))))))) % 0.85/1.07 (assume @p189 (forall (@list @t30 @t14 @t83 @t84 @t86 @t21) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t391 @t96 @t95) @t14) @t30)) (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t90 @t84 @t83)))))) % 0.85/1.07 (assume @p190 (forall @t392 (= (tptp.c_Predicate_Oconversep @t86 @t21 (tptp.c_Lattices_Osemilattice__inf__class_Oinf (tptp.tc_fun @t86 @t98) @t131 @t196)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t391 (tptp.c_Predicate_Oconversep @t86 @t21 @t131) (tptp.c_Predicate_Oconversep @t86 @t21 @t196))))) % 0.85/1.07 (assume @p191 (forall @t392 (= (tptp.c_Relation_Oconverse @t86 @t21 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t393 @t131 @t196)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t90 @t137 (tptp.c_Relation_Oconverse @t86 @t21 @t196))))) % 0.85/1.07 (assume @p192 (forall @t160 (= (tptp.c_Wellfounded_Oacyclic @t21 @t238) @t389))) % 0.85/1.07 (assume @p193 (forall @t402 (=> @t401 @t400))) % 0.85/1.07 (assume @p194 (forall @t402 (=> @t385 @t400))) % 0.85/1.07 (assume @p195 (forall @t408 (=> @t401 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t407 @t403) @t406)))) % 0.85/1.07 (assume @p196 (forall @t402 (=> @t401 @t409))) % 0.85/1.07 (assume @p197 (forall @t402 (=> @t385 @t409))) % 0.85/1.07 (assume @p198 (forall @t410 (=> @t401 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t404 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t405 @t403)) @t406)))) % 0.85/1.07 (assume @p199 (forall @t412 (=> @t401 @t411))) % 0.85/1.07 (assume @p200 (forall @t412 (=> @t385 @t411))) % 0.85/1.07 (assume @p201 (forall @t413 (=> @t401 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t405 @t407) @t407)))) % 0.85/1.07 (assume @p202 (forall @t412 (=> @t401 @t414))) % 0.85/1.07 (assume @p203 (forall @t412 (=> @t385 @t414))) % 0.85/1.07 (assume @p204 (forall @t413 (=> @t401 (= @t407 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t404 @t405))))) % 0.85/1.07 (assume @p205 (forall @t415 (=> @t401 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t397 @t397) @t397)))) % 0.85/1.07 (assume @p206 (forall (@list @t405 @t21) (=> @t401 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t405 @t405) @t405)))) % 0.85/1.07 (assume @p207 (forall @t243 (=> (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t240 @t238 @t252) @t416) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t187 @t14)) @t356)))))) % 0.85/1.07 (assume @p208 (forall @t160 (=> @t388 @t389))) % 0.85/1.07 (assume @p209 (forall @t275 (= (tptp.c_Wellfounded_Oacyclic @t21 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t156) @t269) @t131)) (and @t389 (not @t290))))) % 0.85/1.07 (assume @p210 (forall @t352 (=> @t357 (=> (not @t227) (not (forall (@list @t417) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP @t185 @t417)) @t356)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 (tptp.hAPP (tptp.hAPP @t153 @t417) @t44)) @t131)))))))))) % 0.85/1.07 (assume @p211 (forall @t355 (=> @t380 (=> (not (tptp.hBOOL (tptp.hAPP @t288 @t131))) (not (forall @t190 (=> @t354 (not (tptp.hBOOL (tptp.hAPP @t353 @t356)))))))))) % 0.85/1.07 (assume @p212 (forall @t421 (=> @t420 (not (=> @t419 (not @t418)))))) % 0.85/1.07 (assume @p213 (forall (@list @t86 @t21 @t19 @t30 @t14 @t25) (=> @t419 (=> @t418 @t420)))) % 0.85/1.07 (assume @p214 (forall @t423 (not (tptp.hBOOL (tptp.hAPP @t42 @t422))))) % 0.85/1.07 (assume @p215 (forall @t429 (=> (=> (not @t428) @t47) @t427))) % 0.85/1.07 (assume @p216 (forall @t431 (=> @t430 (=> @t69 @t43)))) % 0.85/1.07 (assume @p217 (forall @t421 (=> @t420 @t418))) % 0.85/1.07 (assume @p218 (forall @t421 (=> @t420 @t419))) % 0.85/1.07 (assume @p219 (forall @t142 (= (tptp.c_Relation_ODomain @t21 @t86 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t88) @t139) @t131)) (tptp.hAPP @t432 @t201)))) % 0.85/1.07 (assume @p220 (forall (@list @t131 @t44 @t41 @t21 @t86) (= (tptp.c_Relation_ORange @t86 @t21 (tptp.hAPP (tptp.hAPP (tptp.c_Set_Oinsert @t133) @t433) @t131)) (tptp.hAPP @t425 @t191)))) % 0.85/1.07 (assume @p221 (forall (@list @t19 @t41 @t21) (tptp.hBOOL (tptp.hAPP @t42 @t434)))) % 0.85/1.07 (assume @p222 (forall @t431 (= @t430 (or @t47 @t43)))) % 0.85/1.07 (assume @p223 (forall @t439 (=> @t109 (=> @t438 (= (= @t437 @t436) @t29))))) % 0.85/1.07 (assume @p224 (forall @t429 (=> @t428 @t427))) % 0.85/1.07 (assume @p225 (forall @t441 (=> @t43 (= @t440 @t25)))) % 0.85/1.07 (assume @p226 (forall @t443 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t440 @t434) @t442))) % 0.85/1.07 (assume @p227 (forall @t147 (= (forall @t8 @t445) @t444))) % 0.85/1.07 (assume @p228 (forall @t147 (= (exists @t8 @t164) @t446))) % 0.85/1.07 (assume @p229 (forall (@list @t20 @t21) (not (tptp.hBOOL (tptp.hAPP @t23 @t422))))) % 0.85/1.07 (assume @p230 (forall (@list @t41 @t21 @t25) (=> @t444 @t447))) % 0.85/1.07 (assume @p231 (forall (@list @t86 @t21 @t83) (=> (not (= @t83 @t422)) (= (tptp.c_FuncSet_Oextensional__funcset @t21 @t86 @t83 @t449) @t448)))) % 0.85/1.07 (assume @p232 (forall @t450 (= (= @t115 @t448) (exists @t8 (and @t164 (= @t161 @t449)))))) % 0.85/1.07 (assume @p233 (forall @t211 (= (tptp.c_Relation_OId__on @t21 @t422) @t416))) % 0.85/1.07 (assume @p234 (forall @t454 (=> @t453 @t451))) % 0.85/1.07 (assume @p235 (forall @t454 (= @t453 @t451))) % 0.85/1.07 (assume @p236 (forall (@list @t44 @t41 @t21) (=> (= @t452 @t455) @t47))) % 0.85/1.07 (assume @p237 (forall (@list @t14 @t25 @t30 @t21) (= (tptp.hBOOL (tptp.hAPP @t457 @t14)) (or (= @t30 @t14) @t37)))) % 0.85/1.07 (assume @p238 (forall @t460 (= (= (tptp.hAPP @t432 @t455) (tptp.hAPP (tptp.hAPP @t424 @t20) (tptp.hAPP (tptp.hAPP @t424 @t458) @t422))) (or (and @t459 (= @t44 @t458)) (and (= @t41 @t458) (= @t44 @t20)))))) % 0.85/1.07 (assume @p239 (forall @t189 (= (tptp.hAPP @t435 @t457) (tptp.hAPP @t456 @t437)))) % 0.85/1.07 (assume @p240 (forall @t40 (= (tptp.hAPP @t435 @t437) @t437))) % 0.85/1.07 (assume @p241 (forall @t441 (not (= @t440 @t422)))) % 0.85/1.07 (assume @p242 (forall @t441 (not (= @t422 @t440)))) % 0.85/1.07 (assume @p243 (forall (@list @t21 @t86) (= (tptp.c_Relation_ORange @t86 @t21 @t461) @t422))) % 0.85/1.07 (assume @p244 (forall @t152 (= (= @t191 @t422) (= @t131 @t461)))) % 0.85/1.07 (assume @p245 (forall @t463 (= (tptp.c_Relation_ODomain @t21 @t86 @t462) @t422))) % 0.85/1.07 (assume @p246 (forall @t213 (= (= @t201 @t422) (= @t131 @t462)))) % 0.85/1.07 (assume @p247 (forall @t211 (tptp.c_Relation_Orefl__on @t21 @t422 @t416))) % 0.85/1.07 (assume @p248 (forall @t368 (= @t464 (forall @t8 (=> @t164 (forall @t150 (=> (tptp.hBOOL (tptp.hAPP @t232 @t19)) @t231))))))) % 0.85/1.07 (assume @p249 (forall @t147 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 @t422) @t422))) % 0.85/1.07 (assume @p250 (forall (@list @t19 @t21) (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t422 @t19) @t422))) % 0.85/1.07 (assume @p251 (forall @t211 (= (tptp.c_Transitive__Closure_Otrancl @t21 @t416) @t416))) % 0.85/1.07 (assume @p252 (forall @t465 (= (tptp.hBOOL (tptp.hAPP @t422 @t14)) (tptp.hBOOL (tptp.hAPP @t38 @t422))))) % 0.85/1.07 (assume @p253 (forall @t160 (tptp.c_Relation_Ototal__on @t21 @t422 @t131))) % 0.85/1.07 (assume @p254 (forall @t415 (=> @t467 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t397 @t466) @t466)))) % 0.85/1.07 (assume @p255 (forall @t415 (=> @t467 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t466 @t397) @t466)))) % 0.85/1.07 (assume @p256 (forall @t471 @t470)) % 0.85/1.07 (assume @p257 (forall @t443 @t473)) % 0.85/1.07 (assume @p258 (forall @t471 @t474)) % 0.85/1.07 (assume @p259 (forall @t443 @t475)) % 0.85/1.07 (assume @p260 (forall @t471 (and @t470 @t474))) % 0.85/1.07 (assume @p261 (forall @t443 (and @t473 @t475))) % 0.85/1.07 (assume @p262 (forall @t465 (= (tptp.c_Set_Othe__elem @t21 @t476) @t14))) % 0.85/1.07 (assume @p263 (forall (@list @t14 @t86 @t21) (=> @t477 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t384) @t14) @t466)))) % 0.85/1.07 (assume @p264 (forall (@list @t335 @t2 @t86 @t83 @t14 @t21) (=> @t334 (=> @t479 (tptp.hBOOL (tptp.hAPP @t478 @t336)))))) % 0.85/1.07 (assume @p265 (forall (@list @t335 @t86 @t21) (= (tptp.c_FuncSet_Oextensional__funcset @t21 @t86 @t422 @t335) @t480))) % 0.85/1.07 (assume @p266 (forall @t463 (= (tptp.c_FuncSet_Oextensional @t21 @t86 @t422) @t480))) % 0.85/1.07 (assume @p267 (forall @t482 (= @t481 (tptp.hBOOL (tptp.hAPP @t169 @t462))))) % 0.85/1.07 (assume @p268 (forall (@list @t14 @t83 @t2 @t86 @t335 @t30 @t21) (=> (tptp.hBOOL (tptp.hAPP @t49 @t335)) (=> (tptp.hBOOL (tptp.hAPP @t487 (tptp.c_FuncSet_Oextensional__funcset @t86 @t21 @t83 @t335))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 @t485) @t484)))))) % 0.85/1.07 (assume @p269 (forall (@list @t14 @t2 @t86 @t21) (= (tptp.c_Fun_Ofun__upd @t21 @t86 @t2 @t14 @t111) @t2))) % 0.85/1.07 (assume @p270 (forall (@list @t14 @t83 @t2 @t86 @t335 @t41 @t21) (=> (tptp.hBOOL (tptp.hAPP @t42 @t335)) (=> (tptp.hBOOL (tptp.hAPP @t487 (tptp.c_FuncSet_Oextensional__funcset @t86 @t21 @t83 (tptp.c_Groups_Ominus__class_Ominus @t98 @t335 @t452)))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t486 (tptp.c_Fun_Ofun__upd @t86 @t21 @t2 @t14 @t41)) @t484)))))) % 0.85/1.07 (assume @p271 (forall (@list @t489 @t21) (= (tptp.c_Set_Othe__elem @t21 @t489) (tptp.c_HOL_OThe @t21 (tptp.hAPP (tptp.c_COMBB @t98 tptp.tc_HOL_Obool @t21 (tptp.hAPP tptp.c_fequal @t489)) @t488))))) % 0.85/1.07 (assume @p272 (forall (@list @t44 @t2 @t86 @t21 @t41 @t14) (and (=> @t64 (= @t490 @t44)) (=> @t65 (= @t490 @t111))))) % 0.85/1.07 (assume @p273 (forall @t363 (=> @t26 (=> @t27 @t492)))) % 0.85/1.07 (assume @p274 (forall @t363 (=> @t492 (not @t493)))) % 0.85/1.07 (assume @p275 (forall @t482 (not @t481))) % 0.85/1.07 (assume @p276 (forall @t147 (= (tptp.c_Groups_Ominus__class_Ominus @t98 @t25 @t25) @t422))) % 0.85/1.07 (assume @p277 (forall @t147 (= (tptp.c_Groups_Ominus__class_Ominus @t98 @t25 @t422) @t25))) % 0.85/1.07 (assume @p278 (forall @t147 (= (tptp.c_Groups_Ominus__class_Ominus @t98 @t422 @t25) @t422))) % 0.85/1.07 (assume @p279 (forall (@list @t14 @t19 @t25 @t86 @t21) (=> (tptp.class_Groups_Ominus @t21) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t384 @t25 @t19) @t14) (tptp.c_Groups_Ominus__class_Ominus @t21 @t36 @t110))))) % 0.85/1.07 (assume @p280 (forall @t363 (= @t492 (and @t26 @t27)))) % 0.85/1.07 (assume @p281 (forall @t363 (=> @t492 @t26))) % 0.85/1.07 (assume @p282 (forall @t363 (=> @t492 @t27))) % 0.85/1.07 (assume @p283 (forall @t368 (= (tptp.c_Groups_Ominus__class_Ominus @t98 @t491 @t19) @t491))) % 0.85/1.07 (assume @p284 (forall (@list @t19 @t222 @t25 @t21) (= @t494 (tptp.c_Groups_Ominus__class_Ominus @t98 @t367 @t19)))) % 0.85/1.07 (assume @p285 (forall @t366 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t491 @t222) @t494))) % 0.85/1.07 (assume @p286 (forall @t366 (= (tptp.c_Groups_Ominus__class_Ominus @t98 @t359 @t222) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 (tptp.c_Groups_Ominus__class_Ominus @t98 @t19 @t222))))) % 0.85/1.07 (assume @p287 (forall @t495 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t222 @t491) (tptp.c_Groups_Ominus__class_Ominus @t98 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t222 @t25) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t222 @t19))))) % 0.85/1.07 (assume @p288 (forall @t498 @t497)) % 0.85/1.07 (assume @p289 (forall @t498 (and @t497 (=> @t438 (= @t496 (tptp.hAPP @t435 @t491)))))) % 0.85/1.07 (assume @p290 (forall @t441 (= @t500 @t440))) % 0.85/1.07 (assume @p291 (forall @t502 (= @t501 (tptp.c_Groups_Ominus__class_Ominus @t98 @t499 @t19)))) % 0.85/1.07 (assume @p292 (forall @t502 (= @t501 (tptp.c_Groups_Ominus__class_Ominus @t98 @t491 @t452)))) % 0.85/1.07 (assume @p293 (forall @t368 (=> @t464 (= @t491 @t25)))) % 0.85/1.07 (assume @p294 (forall @t368 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t25 (tptp.c_Groups_Ominus__class_Ominus @t98 @t19 @t25)) @t422))) % 0.85/1.07 (assume @p295 (forall @t40 (=> @t109 (= (tptp.c_Groups_Ominus__class_Ominus @t98 @t437 @t476) @t25)))) % 0.85/1.07 (assume @p296 (forall @t441 (=> @t43 (= @t500 @t25)))) % 0.85/1.07 (assume @p297 (forall (@list @t30 @t14 @t2 @t86 @t21) (= (= @t504 @t2) @t503))) % 0.85/1.07 (assume @p298 (forall (@list @t103 @t30 @t14 @t2 @t86 @t21) (= (tptp.c_Fun_Ofun__upd @t21 @t86 @t504 @t14 @t103) (tptp.c_Fun_Ofun__upd @t21 @t86 @t2 @t14 @t103)))) % 0.85/1.07 (assume @p299 (forall (@list @t30 @t14 @t2 @t21 @t86) (= (tptp.hAPP @t485 @t14) @t30))) % 0.85/1.07 (assume @p300 (forall @t509 (and (=> @t507 (= @t506 @t30)) @t508))) % 0.85/1.07 (assume @p301 (forall (@list @t458 @t44 @t510 @t86 @t21 @t20 @t41) (=> (not @t459) (= (tptp.c_Fun_Ofun__upd @t21 @t86 (tptp.c_Fun_Ofun__upd @t21 @t86 @t510 @t41 @t44) @t20 @t458) (tptp.c_Fun_Ofun__upd @t21 @t86 (tptp.c_Fun_Ofun__upd @t21 @t86 @t510 @t20 @t458) @t41 @t44))))) % 0.85/1.07 (assume @p302 (forall @t509 @t508)) % 0.85/1.07 (assume @p303 (forall (@list @t21 @t86 @t30 @t14 @t2) (=> @t503 (= @t485 @t2)))) % 0.85/1.07 (assume @p304 (forall (@list @t335 @t86 @t14 @t2 @t83 @t21) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP @t163 @t83)) (not (= @t111 @t6)))) (=> @t479 (tptp.hBOOL (tptp.hAPP @t478 (tptp.c_FuncSet_Oextensional__funcset @t21 @t86 @t83 (tptp.c_Groups_Ominus__class_Ominus @t93 @t335 (tptp.hAPP @t511 @t449))))))))) % 0.85/1.07 (assume @p305 (forall (@list @t30 @t103 @t2 @t86 @t25 @t14 @t21) (=> @t39 (=> (tptp.c_Nitpick_Ofold__graph_H @t21 @t86 @t2 @t103 @t512 @t30) (tptp.c_Nitpick_Ofold__graph_H @t21 @t86 @t2 @t103 @t25 (tptp.hAPP @t111 @t30)))))) % 0.85/1.07 (assume @p306 (forall (@list @t14 @t41 @t335 @t83 @t2 @t86 @t21) (=> (tptp.hBOOL (tptp.hAPP @t118 (tptp.c_FuncSet_Oextensional__funcset @t21 @t86 @t83 (tptp.c_Groups_Ominus__class_Ominus @t93 @t335 @t514)))) (=> (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t83) (tptp.c_Fun_Oinj__on @t21 @t86 (tptp.c_Fun_Ofun__upd @t21 @t86 @t2 @t14 @t41) @t83))))) % 0.85/1.07 (assume @p307 (forall (@list @t2 @t86 @t21) (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t422))) % 0.85/1.07 (assume @p308 (forall @t517 (=> @t516 (=> @t515 (=> @t39 (=> @t50 @t32)))))) % 0.85/1.07 (assume @p309 (forall @t517 (=> @t516 (=> @t39 (=> @t50 (= @t515 @t32)))))) % 0.85/1.07 (assume @p310 (forall @t517 (=> @t516 (=> @t33 (=> @t39 (=> @t50 (not @t515))))))) % 0.85/1.07 (assume @p311 (forall @t147 (tptp.c_Fun_Oinj__on @t21 @t21 @t145 @t25))) % 0.85/1.07 (assume @p312 (forall @t324 (= @t516 (forall @t8 (=> @t164 (forall @t150 (=> @t233 (=> (= @t6 (tptp.hAPP @t2 @t148)) @t230)))))))) % 0.85/1.07 (assume @p313 (forall @t286 (=> @t516 (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t491)))) % 0.85/1.07 (assume @p314 (forall @t286 (=> @t516 (=> @t518 (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t359))))) % 0.85/1.07 (assume @p315 (forall @t324 (= (tptp.c_Fun_Oinj__on @t21 @t86 @t320 @t25) @t516))) % 0.85/1.07 (assume @p316 (forall (@list @t205 @t210 @t86 @t21) (tptp.c_Nitpick_Ofold__graph_H @t21 @t86 @t210 @t205 @t422 @t205))) % 0.85/1.07 (assume @p317 (forall (@list @t103 @t2 @t86 @t21) (tptp.c_Nitpick_Ofold__graph_H @t21 @t86 @t2 @t103 @t422 @t103))) % 0.85/1.07 (assume @p318 (forall (@list @t522 @t210 @t205 @t520 @t521 @t86 @t21) (= (tptp.c_Nitpick_Ofold__graph_H @t21 @t86 @t521 @t520 @t205 @t523) (or (and (= @t205 @t422) (= @t523 @t520)) (exists @t173 (and (= @t523 (tptp.hAPP (tptp.hAPP @t521 @t4) @t170)) (tptp.hBOOL (tptp.hAPP @t163 @t205)) (tptp.c_Nitpick_Ofold__graph_H @t21 @t86 @t521 @t520 (tptp.c_Groups_Ominus__class_Ominus @t98 @t205 @t519) @t170))))))) % 0.85/1.07 (assume @p319 (forall @t465 (= (tptp.c_HOL_OThe @t21 @t524) @t14))) % 0.85/1.07 (assume @p320 (forall @t423 (= (tptp.c_HOL_OThe @t21 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t21 @t21 tptp.tc_HOL_Obool) tptp.c_fequal) @t41)) @t41))) % 0.85/1.07 (assume @p321 (forall (@list @t41 @t131 @t86 @t44 @t21) (= (tptp.hBOOL (tptp.hAPP @t45 (tptp.hAPP @t525 @t514))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t134 @t433) @t131))))) % 0.85/1.07 (assume @p322 (forall (@list @t30 @t2 @t86 @t25 @t14 @t21) (and (=> @t39 (= @t527 (tptp.hAPP (tptp.hAPP @t483 @t30) (tptp.c_Set_Oimage @t21 @t86 @t2 @t512)))) (=> @t109 (= @t527 @t526))))) % 0.85/1.07 (assume @p323 (forall (@list @t25 @t41 @t2 @t86 @t21) (= (tptp.c_Fun_Oinj__on @t21 @t86 @t2 @t440) (and @t516 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 @t528) (tptp.c_Set_Oimage @t21 @t86 @t2 @t499)))))))) % 0.85/1.07 (assume @p324 (forall (@list @t21 @t25 @t86 @t14 @t2 @t44) (=> @t530 (=> (tptp.hBOOL (tptp.hAPP @t193 @t25)) (tptp.hBOOL (tptp.hAPP @t45 @t529)))))) % 0.85/1.07 (assume @p325 (forall @t532 (= (= @t529 @t422) @t531))) % 0.85/1.07 (assume @p326 (forall (@list @t19 @t41 @t2 @t21 @t86) (= (tptp.c_Set_Oimage @t86 @t21 @t2 (tptp.hAPP @t513 @t19)) (tptp.hAPP (tptp.hAPP @t424 @t528) @t533)))) % 0.85/1.07 (assume @p327 (forall (@list @t2 @t21 @t86) (= (tptp.c_Set_Oimage @t86 @t21 @t2 @t449) @t422))) % 0.85/1.07 (assume @p328 (forall @t324 (= (= @t422 @t529) @t531))) % 0.85/1.07 (assume @p329 (forall (@list @t84 @t21 @t86) (= (tptp.hAPP @t534 @t449) @t422))) % 0.85/1.07 (assume @p330 (forall (@list @t535 @t21) (= (tptp.c_Set_Oimage @t21 @t21 @t145 @t535) @t535))) % 0.85/1.07 (assume @p331 (forall @t532 (= (tptp.c_Set_Oimage @t86 @t21 (tptp.c_FuncSet_Orestrict @t86 @t21 @t2 @t25) @t25) @t529))) % 0.85/1.07 (assume @p332 (forall (@list @t25 @t1 @t219 @t2 @t21 @t86) (= (tptp.c_Set_Oimage @t86 @t21 @t2 (tptp.c_Set_Oimage @t219 @t86 @t1 @t25)) (tptp.c_Set_Oimage @t219 @t21 (tptp.hAPP (tptp.c_COMBB @t86 @t21 @t219 @t2) @t1) @t25)))) % 0.85/1.07 (assume @p333 (forall (@list @t86 @t2 @t44 @t25 @t14 @t21) (=> @t39 (=> @t530 (tptp.hBOOL (tptp.hAPP @t183 @t526)))))) % 0.85/1.07 (assume @p334 (forall @t322 (=> @t39 (tptp.hBOOL (tptp.hAPP @t113 @t526))))) % 0.85/1.07 (assume @p335 (forall (@list @t25 @t2 @t86 @t103 @t21) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t103) @t529)) (exists @t8 (and @t536 (= @t103 @t6)))))) % 0.85/1.07 (assume @p336 (forall (@list @t222 @t1 @t219 @t19 @t25 @t2 @t21 @t86) (=> @t537 (=> (= (tptp.c_Set_Oimage @t21 @t219 @t1 @t19) @t222) (= (tptp.c_Set_Oimage @t86 @t219 (tptp.c_FuncSet_Ocompose @t86 @t21 @t219 @t25 @t1 @t2) @t25) @t222))))) % 0.85/1.07 (assume @p337 (forall @t322 (=> @t39 (= (tptp.hAPP @t511 @t526) @t526)))) % 0.85/1.07 (assume @p338 (forall (@list @t20 @t86 @t21 @t25) (and (=> @t444 (= @t538 @t449)) (=> @t446 @t539)))) % 0.85/1.07 (assume @p339 (forall @t368 (= (tptp.hAPP (tptp.c_Relation_OImage @t21 @t21 @t184) @t19) @t359))) % 0.85/1.07 (assume @p340 (forall (@list @t14 @t30 @t25 @t2 @t86 @t21) (=> @t516 (=> (not @t540) (tptp.c_Fun_Oinj__on @t21 @t86 @t504 @t25))))) % 0.85/1.07 (assume @p341 (forall @t542 (= @t541 (exists @t8 (and @t536 @t199))))) % 0.85/1.07 (assume @p342 (forall (@list @t131 @t44 @t86 @t25 @t41 @t21) (=> @t43 (=> @t144 (tptp.hBOOL (tptp.hAPP @t183 @t543)))))) % 0.85/1.07 (assume @p343 (forall (@list @t20 @t86 @t25 @t14 @t21) (=> @t39 @t539))) % 0.85/1.07 (assume @p344 (forall @t547 (=> (tptp.c_Relation_Osingle__valued @t21 @t86 (tptp.c_Relation_Oconverse @t86 @t21 @t84)) (= @t546 @t544)))) % 0.85/1.07 (assume @p345 (forall @t542 (=> @t541 (not (forall @t8 (=> @t199 (not @t536))))))) % 0.85/1.07 (assume @p346 (forall (@list @t44 @t41 @t14 @t131 @t25 @t21) (=> @t551 (=> (tptp.hBOOL (tptp.hAPP @t38 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t550 @t549))) @t227)))) % 0.85/1.07 (assume @p347 (forall @t554 (=> @t537 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t117 @t553) (tptp.c_FuncSet_OPi @t21 @t86 @t19 (tptp.c_COMBK @t93 @t21 @t25))))))) % 0.85/1.07 (assume @p348 (forall @t257 (=> @t551 (=> @t43 (tptp.hBOOL (tptp.hAPP @t42 @t550)))))) % 0.85/1.07 (assume @p349 (forall @t556 (=> @t551 (=> @t227 @t555)))) % 0.85/1.07 (assume @p350 (forall @t554 (=> @t537 (= (tptp.c_FuncSet_Ocompose @t21 @t86 @t21 @t19 @t2 @t553) (tptp.c_FuncSet_Orestrict @t21 @t21 @t145 @t19))))) % 0.85/1.07 (assume @p351 (forall (@list @t25 @t44 @t41 @t131 @t21) (=> @t555 (=> @t551 @t557)))) % 0.85/1.07 (assume @p352 (forall @t259 (=> @t551 (=> @t39 (=> @t50 (= @t560 @t258)))))) % 0.85/1.07 (assume @p353 (forall @t259 (=> @t551 (= @t258 (and @t560 @t39 @t50))))) % 0.85/1.07 (assume @p354 (forall @t517 (=> @t516 (=> @t39 (=> @t503 (= @t562 @t14)))))) % 0.85/1.07 (assume @p355 (forall @t319 (=> @t516 (=> @t39 (= (tptp.hAPP @t561 @t111) @t14))))) % 0.85/1.07 (assume @p356 (forall (@list @t30 @t14 @t2 @t25 @t86 @t21) (=> (= (tptp.hAPP @t561 @t14) @t562) (=> @t563 (=> @t540 @t32))))) % 0.85/1.07 (assume @p357 (forall (@list @t25 @t2 @t86 @t30 @t21) (=> (tptp.hBOOL (tptp.hAPP @t49 @t529)) (= (tptp.hAPP @t2 (tptp.hAPP @t552 @t30)) @t30)))) % 0.85/1.07 (assume @p358 (forall (@list @t25 @t2 @t86 @t14 @t21) (=> (tptp.hBOOL (tptp.hAPP @t38 @t529)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t112 (tptp.hAPP @t552 @t14)) @t25))))) % 0.85/1.07 (assume @p359 (forall @t259 (=> @t551 (=> @t39 (=> @t50 (= (= @t565 (tptp.hAPP (tptp.hAPP @t564 @t558) @t131)) @t258)))))) % 0.85/1.07 (assume @p360 (forall (@list @t41 @t44 @t131 @t25 @t21) (=> @t551 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t549 @t550) @t557)))) % 0.85/1.07 (assume @p361 (forall @t415 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t397 @t397)))) % 0.85/1.07 (assume @p362 (forall @t368 (=> @t568 (=> @t567 @t29)))) % 0.85/1.07 (assume @p363 (forall (@list @t20 @t19 @t25 @t21) (=> @t568 @t493))) % 0.85/1.07 (assume @p364 (forall @t147 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t422 @t25))) % 0.85/1.07 (assume @p365 (forall (@list @t196 @t131 @t262 @t21) (=> @t369 (=> @t569 (tptp.hBOOL (tptp.hAPP @t263 (tptp.c_Transitive__Closure_Otrancl @t21 @t196))))))) % 0.85/1.07 (assume @p366 (forall @t547 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t546 @t544))) % 0.85/1.07 (assume @p367 (forall (@list @t25 @t570 @t131 @t571 @t86 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t90 @t571 @t131) (=> @t572 (tptp.c_Orderings_Oord__class_Oless__eq @t93 (tptp.hAPP (tptp.c_Relation_OImage @t21 @t86 @t571) @t570) @t543))))) % 0.85/1.07 (assume @p368 (forall @t575 (= @t574 (exists (@list @t573) (and (tptp.c_Orderings_Oord__class_Oless__eq @t93 @t573 @t25) (= @t19 (tptp.c_Set_Oimage @t86 @t21 @t2 @t573))))))) % 0.85/1.07 (assume @p369 (forall (@list @t2 @t86 @t19 @t25 @t21) (=> @t568 (tptp.c_Orderings_Oord__class_Oless__eq @t93 @t526 @t576)))) % 0.85/1.07 (assume @p370 (forall (@list @t25 @t19 @t2 @t86 @t21) (=> @t518 (=> @t568 @t516)))) % 0.85/1.07 (assume @p371 (forall @t366 (=> @t568 (=> @t577 (= (tptp.c_Groups_Ominus__class_Ominus @t98 @t19 (tptp.c_Groups_Ominus__class_Ominus @t98 @t222 @t25)) @t25))))) % 0.85/1.07 (assume @p372 (forall (@list @t19 @t221 @t222 @t25 @t21) (=> @t578 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t221 @t19) (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t491 (tptp.c_Groups_Ominus__class_Ominus @t98 @t222 @t221)))))) % 0.85/1.07 (assume @p373 (forall @t368 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t491 @t25))) % 0.85/1.07 (assume @p374 (forall @t412 (=> @t581 (=> (not @t580) @t579)))) % 0.85/1.07 (assume @p375 (forall (@list @t14 @t1 @t2 @t21 @t86) (=> @t583 (=> @t582 (tptp.c_Orderings_Oord__class_Oless__eq @t86 @t111 @t383))))) % 0.85/1.07 (assume @p376 (forall (@list @t394 @t397 @t395 @t21) (=> @t584 (=> @t579 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t394 @t395) (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t394 @t397)))))) % 0.85/1.07 (assume @p377 (forall @t586 (=> @t584 (=> @t579 (=> @t580 @t585))))) % 0.85/1.07 (assume @p378 (forall @t402 (=> @t566 (=> @t580 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t395 @t394) @t587))))) % 0.85/1.07 (assume @p379 (forall @t412 (=> @t584 (=> @t580 (=> @t579 @t585))))) % 0.85/1.07 (assume @p380 (forall @t410 (=> @t584 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t404 @t405) (=> @t589 @t588))))) % 0.85/1.07 (assume @p381 (forall @t408 (=> @t591 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t405 @t404) (=> @t589 @t590))))) % 0.85/1.07 (assume @p382 (forall @t408 (=> @t584 (=> @t592 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t403 @t404) @t588))))) % 0.85/1.07 (assume @p383 (forall @t408 (=> @t591 (=> @t592 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t404 @t403) @t590))))) % 0.85/1.07 (assume @p384 (forall (@list @t14 @t30 @t21) (=> @t584 (=> @t594 (= @t593 @t32))))) % 0.85/1.07 (assume @p385 (forall @t412 (=> @t566 (=> @t585 @t580)))) % 0.85/1.07 (assume @p386 (forall @t77 (=> @t584 (= @t32 (and @t593 @t594))))) % 0.85/1.07 (assume @p387 (forall @t412 (=> @t581 (or @t580 @t579)))) % 0.85/1.07 (assume @p388 (forall (@list @t1 @t2 @t21 @t86) (=> @t583 (= @t582 (forall @t8 (tptp.c_Orderings_Oord__class_Oless__eq @t86 @t6 @t5)))))) % 0.85/1.07 (assume @p389 (forall (@list @t131 @t196 @t21) (=> (tptp.c_Wellfounded_Oacyclic @t21 @t196) (=> @t569 @t389)))) % 0.85/1.07 (assume @p390 (forall @t596 (=> @t595 (=> (tptp.c_Relation_Osingle__valued @t21 @t86 @t196) @t325)))) % 0.85/1.07 (assume @p391 (forall @t102 (= (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t101 @t100) (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t84 @t83)))) % 0.85/1.07 (assume @p392 (forall @t361 (=> @t568 (=> @t39 @t51)))) % 0.85/1.07 (assume @p393 (forall @t439 (=> @t39 (=> @t568 @t51)))) % 0.85/1.07 (assume @p394 (forall @t599 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t240 @t597 @t598) (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Wellfounded_Oacc @t21 @t598) (tptp.c_Wellfounded_Oacc @t21 @t597))))) % 0.85/1.07 (assume @p395 (forall (@list @t19 @t86 @t25 @t570 @t21) (=> @t572 (tptp.c_Orderings_Oord__class_Oless__eq @t351 @t115 (tptp.c_FuncSet_OPi @t21 @t86 @t570 @t19))))) % 0.85/1.07 (assume @p396 (forall (@list @t14 @t600 @t174 @t21) (=> @t603 (=> @t181 @t602)))) % 0.85/1.07 (assume @p397 (forall (@list @t600 @t21 @t14 @t174) (=> @t181 (=> @t603 @t602)))) % 0.85/1.07 (assume @p398 (forall @t604 (=> @t29 (not (=> @t568 (not @t567)))))) % 0.85/1.07 (assume @p399 (forall @t366 (=> @t568 (=> @t577 @t578)))) % 0.85/1.07 (assume @p400 (forall @t604 (=> @t29 @t567))) % 0.85/1.07 (assume @p401 (forall @t604 (=> @t29 @t568))) % 0.85/1.07 (assume @p402 (forall @t604 (= @t29 (and @t568 @t567)))) % 0.85/1.07 (assume @p403 (forall @t147 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t25))) % 0.85/1.07 (assume @p404 (forall @t596 (=> @t595 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t201 (tptp.c_Relation_ODomain @t21 @t86 @t196))))) % 0.85/1.07 (assume @p405 (forall @t607 (=> @t569 @t606))) % 0.85/1.07 (assume @p406 (forall @t102 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t240 @t84 @t83) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t240 @t83 @t266) (= (tptp.c_Transitive__Closure_Ortrancl @t21 @t83) @t266))))) % 0.85/1.07 (assume @p407 (forall @t607 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t240 @t131 @t605) @t606))) % 0.85/1.07 (assume @p408 (forall @t368 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t359 @t25))) % 0.85/1.07 (assume @p409 (forall @t368 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t359 @t19))) % 0.85/1.07 (assume @p410 (forall @t368 (=> @t568 (= @t359 @t25)))) % 0.85/1.07 (assume @p411 (forall (@list @t25 @t19 @t21) (=> @t567 (= @t359 @t19)))) % 0.85/1.07 (assume @p412 (forall @t495 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t222 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t222 @t19) (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t222 @t359))))) % 0.85/1.07 (assume @p413 (forall (@list @t221 @t19 @t222 @t25 @t21) (=> @t578 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t19 @t221) (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t359 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t222 @t221)))))) % 0.85/1.07 (assume @p414 (forall @t611 (=> @t401 (=> @t610 (not (=> @t609 (not @t608))))))) % 0.85/1.07 (assume @p415 (forall (@list @t612 @t404 @t403 @t405 @t21) (=> @t401 (=> @t590 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t404 @t612) (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t407 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t403 @t612))))))) % 0.85/1.07 (assume @p416 (forall @t402 (=> @t401 (=> @t580 (=> @t587 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t397 @t396)))))) % 0.85/1.07 (assume @p417 (forall @t611 (=> @t401 (=> @t609 (=> @t608 @t610))))) % 0.85/1.07 (assume @p418 (forall @t586 (=> @t401 (=> @t579 (= @t399 @t395))))) % 0.85/1.07 (assume @p419 (forall @t412 (=> @t401 (=> @t580 (= @t399 @t397))))) % 0.85/1.07 (assume @p420 (forall (@list @t405 @t397 @t404 @t21) (=> @t401 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t404 @t397) @t613)))) % 0.85/1.07 (assume @p421 (forall (@list @t404 @t397 @t405 @t21) (=> @t401 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t405 @t397) @t613)))) % 0.85/1.07 (assume @p422 (forall (@list @t103 @t30 @t14 @t21) (=> @t401 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t14 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t30 @t103)) (and @t593 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t14 @t103)))))) % 0.85/1.07 (assume @p423 (forall @t77 (=> @t401 (= @t593 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t21 @t14 @t30) @t14))))) % 0.85/1.07 (assume @p424 (forall @t412 (=> @t401 @t614))) % 0.85/1.07 (assume @p425 (forall @t412 (=> @t385 @t614))) % 0.85/1.07 (assume @p426 (forall @t412 (=> @t401 @t615))) % 0.85/1.07 (assume @p427 (forall @t412 (=> @t385 @t615))) % 0.85/1.07 (assume @p428 (forall (@list @t41 @t19 @t21) (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t19 @t434))) % 0.85/1.07 (assume @p429 (forall @t147 (= (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t422) @t444))) % 0.85/1.07 (assume @p430 (forall (@list @t44 @t19 @t25 @t21) (=> @t568 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t426)))) % 0.85/1.07 (assume @p431 (forall (@list @t41 @t221 @t222 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t222 @t221) (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.hAPP @t432 @t222) (tptp.hAPP @t432 @t221))))) % 0.85/1.07 (assume @p432 (forall @t415 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t466 @t397)))) % 0.85/1.07 (assume @p433 (forall (@list @t19 @t21 @t25) (=> (= @t25 @t416) (tptp.c_Orderings_Oord__class_Oless__eq @t240 @t25 @t19)))) % 0.85/1.07 (assume @p434 (forall @t286 (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Groups_Ominus__class_Ominus @t98 @t529 @t533) (tptp.c_Set_Oimage @t86 @t21 @t2 (tptp.c_Groups_Ominus__class_Ominus @t93 @t25 @t19))))) % 0.85/1.07 (assume @p435 (forall @t286 (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Set_Oimage @t86 @t21 @t2 @t545) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t529 @t533)))) % 0.85/1.07 (assume @p436 (forall (@list @t14 @t25 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t25 @t476) (or @t444 (= @t25 @t476))))) % 0.85/1.07 (assume @p437 (forall @t439 (= (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t437 @t19) (and @t51 @t568)))) % 0.85/1.07 (assume @p438 (forall @t439 (=> @t109 (= @t616 @t568)))) % 0.85/1.07 (assume @p439 (forall @t160 (= (tptp.hAPP (tptp.hAPP @t564 @t422) @t131) @t618))) % 0.85/1.07 (assume @p440 (forall @t235 (= (= @t618 @t619) @t444))) % 0.85/1.07 (assume @p441 (forall @t235 (= (= @t619 @t618) @t444))) % 0.85/1.07 (assume @p442 (forall (@list @t489 @t131 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.hAPP @t548 @t489) @t489) (= (tptp.hAPP (tptp.c_Relation_OImage @t21 @t21 @t252) @t489) @t489)))) % 0.85/1.07 (assume @p443 (forall (@list @t620 @t570 @t25 @t2 @t21 @t86) (=> (= @t529 @t570) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t620 @t570) (= (tptp.c_Set_Oimage @t86 @t21 @t2 (tptp.c_Set_Oimage @t21 @t86 @t552 @t620)) @t620))))) % 0.85/1.07 (assume @p444 (forall @t450 (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Groups_Ominus__class_Ominus @t98 @t622 @t621) (tptp.c_Relation_ODomain @t21 @t86 (tptp.c_Groups_Ominus__class_Ominus @t90 @t25 @t19))))) % 0.85/1.07 (assume @p445 (forall @t450 (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Groups_Ominus__class_Ominus @t98 @t624 @t623) (tptp.c_Relation_ORange @t86 @t21 (tptp.c_Groups_Ominus__class_Ominus @t393 @t25 @t19))))) % 0.85/1.07 (assume @p446 (forall @t286 (=> @t285 (=> @t568 (tptp.hBOOL (tptp.hAPP @t118 (tptp.c_FuncSet_Oextensional @t21 @t86 @t19))))))) % 0.85/1.07 (assume @p447 (forall (@list @t570 @t86 @t21 @t25) (=> @t446 (= (exists (@list @t346) (and (tptp.c_Fun_Oinj__on @t21 @t86 @t346 @t25) (tptp.c_Orderings_Oord__class_Oless__eq @t93 (tptp.c_Set_Oimage @t21 @t86 @t346 @t25) @t570))) (exists (@list @t390) (= (tptp.c_Set_Oimage @t86 @t21 @t390 @t570) @t25)))))) % 0.85/1.07 (assume @p448 (forall @t626 (=> @t625 (=> @t578 (=> @t577 (= (tptp.c_Set_Oimage @t21 @t86 @t2 @t359) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t93 @t526 @t576))))))) % 0.85/1.07 (assume @p449 (forall @t626 (=> @t625 (=> @t578 (=> @t577 (= (tptp.c_Set_Oimage @t21 @t86 @t2 @t491) (tptp.c_Groups_Ominus__class_Ominus @t93 @t526 @t576))))))) % 0.85/1.07 (assume @p450 (forall (@list @t83 @t25 @t2 @t86 @t21) (=> @t516 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t83 @t25) (= (tptp.c_Set_Oimage @t86 @t21 @t561 (tptp.c_Set_Oimage @t21 @t86 @t2 @t83)) @t83))))) % 0.85/1.07 (assume @p451 (forall @t575 (=> @t574 (tptp.c_Fun_Oinj__on @t21 @t86 @t552 @t19)))) % 0.85/1.07 (assume @p452 (forall @t450 (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Relation_ODomain @t21 @t86 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t90 @t25 @t19)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t622 @t621)))) % 0.85/1.07 (assume @p453 (forall @t450 (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Relation_ORange @t86 @t21 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t393 @t25 @t19)) (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t624 @t623)))) % 0.85/1.07 (assume @p454 (forall @t286 (=> @t129 (tptp.c_Orderings_Oord__class_Oless__eq @t93 @t526 @t19)))) % 0.85/1.07 (assume @p455 (forall @t246 (= @t565 (tptp.hAPP (tptp.hAPP @t627 @t559) @t618)))) % 0.85/1.07 (assume @p456 (forall @t629 (=> @t628 (=> @t39 @t616)))) % 0.85/1.07 (assume @p457 (forall @t629 (= @t616 (and (=> @t39 @t628) (=> @t109 @t568))))) % 0.85/1.07 (assume @p458 (forall (@list @t535 @t489 @t131 @t25 @t21) (=> @t551 (=> @t633 (=> @t632 (or @t630 (= (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t98 @t489 @t535) @t422))))))) % 0.85/1.07 (assume @p459 (forall (@list @t41 @t25 @t131 @t21) (=> (tptp.c_Fun_Oinj__on @t21 @t617 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t21 @t240 @t617) (tptp.hAPP (tptp.c_COMBB @t98 (tptp.tc_fun @t240 @t617) @t21 @t564) @t488)) @t131) @t25) (=> @t43 (= (tptp.hAPP (tptp.hAPP @t564 @t499) @t131) (tptp.c_Groups_Ominus__class_Ominus @t617 @t619 (tptp.hAPP (tptp.hAPP @t564 @t452) @t131))))))) % 0.85/1.07 (assume @p460 (forall (@list @t131 @t25 @t14 @t21) (=> @t39 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t631 @t559) @t619))))) % 0.85/1.07 (assume @p461 (forall @t556 (=> @t551 (=> @t227 (tptp.c_Orderings_Oord__class_Oless__eq @t98 @t550 @t549))))) % 0.85/1.07 (assume @p462 (forall @t636 (=> @t551 (=> @t633 (=> @t632 (=> @t635 (=> @t634 (= @t630 @t258)))))))) % 0.85/1.07 (assume @p463 (forall @t636 (=> @t551 (=> @t633 (=> @t632 (=> @t635 (=> @t634 (=> @t258 @t630)))))))) % 0.85/1.07 (assume @p464 (forall (@list @t44 @t25 @t21) (and (=> @t638 (= @t637 @t44)) (=> (not @t638) (= @t637 (tptp.c_HOL_OThe @t21 (tptp.hAPP @t99 (tptp.c_Groups_Ominus__class_Ominus @t98 @t25 @t455)))))))) % 0.85/1.07 (assume @p465 (forall (@list @t131 @t25 @t489 @t21) (=> @t633 (not (forall @t8 (=> (= @t489 (tptp.hAPP @t548 @t519)) @t445)))))) % 0.85/1.07 (assume @p466 (forall @t599 (=> (tptp.c_Orderings_Oord__class_Oless__eq (tptp.tc_fun @t21 @t98) @t597 @t598) (tptp.c_Orderings_Oord__class_Oless__eq @t98 (tptp.c_Wellfounded_Oaccp @t21 @t598) (tptp.c_Wellfounded_Oaccp @t21 @t597))))) % 0.85/1.07 (assume @p467 (forall @t97 (= (tptp.c_Orderings_Oord__class_Oless__eq @t391 @t96 @t95) (tptp.c_Orderings_Oord__class_Oless__eq @t90 @t84 @t83)))) % 0.85/1.07 (assume @p468 (forall @t460 (=> (tptp.class_Groups_Oordered__ab__group__add @t21) (=> @t639 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t41 @t44) (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t20 @t458)))))) % 0.85/1.07 (assume @p469 (forall (@list @t19 @t14 @t25 @t2 @t86 @t21) (=> @t516 (=> @t563 (=> @t568 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t22 @t641) @t19))))))) % 0.85/1.07 (assume @p470 (forall (@list @t600 @t86 @t21 @t30 @t14 @t174) (=> @t644 (=> @t643 @t642)))) % 0.85/1.07 (assume @p471 (forall (@list @t30 @t14 @t600 @t174 @t86 @t21) (=> @t643 (=> @t644 @t642)))) % 0.85/1.07 (assume @p472 (forall @t460 (=> (tptp.class_Groups_Oab__group__add @t21) (=> @t639 (= @t47 (= @t20 @t458)))))) % 0.85/1.07 (assume @p473 (forall @t517 (=> @t516 (=> @t503 (=> @t39 (= @t645 @t14)))))) % 0.85/1.07 (assume @p474 (forall @t319 (=> @t516 (=> @t39 (= (tptp.hAPP @t640 @t111) @t14))))) % 0.85/1.07 (assume @p475 (forall @t324 (=> @t516 (tptp.c_Fun_Oinj__on @t86 @t21 @t640 @t526)))) % 0.85/1.07 (assume @p476 (forall @t324 (=> @t516 (= (tptp.c_Set_Oimage @t86 @t21 @t640 @t526) @t25)))) % 0.85/1.07 (assume @p477 (forall (@list @t14 @t2 @t25 @t86 @t21) (= @t641 (tptp.c_HOL_OThe @t21 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t21 tptp.tc_HOL_Obool tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool) @t21 tptp.c_fconj) (tptp.hAPP @t99 @t25))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t21 @t86 tptp.tc_HOL_Obool) (tptp.hAPP (tptp.c_COMBB @t86 @t93 @t21 tptp.c_fequal) @t2)) @t14)))))) % 0.85/1.07 (assume @p478 (forall (@list @t30 @t25 @t2 @t86 @t21) (=> @t516 (=> @t540 (= (tptp.hAPP @t2 @t645) @t30))))) % 0.85/1.07 (assume @p479 (forall @t235 (= @t619 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 @t617 @t25 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t21 @t617 @t617) (tptp.hAPP (tptp.c_COMBB @t98 (tptp.tc_fun @t617 @t617) @t21 @t627) (tptp.hAPP (tptp.c_COMBB @t98 @t98 @t21 @t548) @t488))) @t618))))) % 0.85/1.07 (assume @p480 (forall (@list @t103 @t30 @t2 @t131 @t86 @t21) (=> (tptp.c_Equiv__Relations_Ocongruent @t21 @t86 @t131 @t2) (=> (tptp.hBOOL (tptp.hAPP @t287 @t131)) (= @t236 @t505))))) % 0.85/1.07 (assume @p481 (forall (@list @t86 @t44 @t19 @t25 @t41 @t21) (=> @t43 (=> (tptp.hBOOL (tptp.hAPP @t648 @t44)) @t647)))) % 0.85/1.07 (assume @p482 (forall (@list @t44 @t19 @t25 @t86 @t21) (= @t647 (exists @t8 (and @t164 (tptp.hBOOL (tptp.hAPP @t161 @t44))))))) % 0.85/1.07 (assume @p483 (forall (@list @t19 @t25 @t219 @t131 @t21 @t86) (= (tptp.hAPP @t525 (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t219 @t93 @t25 @t19)) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t219 @t98 @t25 (tptp.hAPP (tptp.c_COMBB @t93 @t98 @t219 @t525) @t19))))) % 0.85/1.07 (assume @p484 (forall (@list @t41 @t2 @t86 @t131 @t25 @t21) (=> @t551 (=> (tptp.c_Equiv__Relations_Ocongruent @t21 @t93 @t131 @t2) (=> @t43 (= (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t21 @t93 @t550 @t2) @t528)))))) % 0.85/1.07 (assume @p485 (forall (@list @t19 @t131 @t21 @t86) (= (tptp.hAPP @t525 @t19) (tptp.c_Complete__Lattice_Ocomplete__lattice__class_OSUPR @t86 @t98 @t19 (tptp.hAPP (tptp.c_COMBB @t93 @t98 @t86 @t525) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t86 @t93 @t93) @t483) @t449)))))) % 0.85/1.07 (assume @p486 (forall (@list @t19 @t44 @t86 @t25 @t41 @t21) (=> @t43 (=> (tptp.hBOOL (tptp.hAPP @t183 @t648)) (tptp.hBOOL (tptp.hAPP @t183 @t646)))))) % 0.85/1.07 (assume @p487 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p488 (forall @t653 (=> @t652 (tptp.class_Lattices_Obounded__lattice @t651)))) % 0.85/1.07 (assume @p489 (forall @t653 (=> @t652 (tptp.class_Lattices_Obounded__lattice__bot @t651)))) % 0.85/1.07 (assume @p490 (forall @t653 (=> @t654 (tptp.class_Lattices_Osemilattice__inf @t651)))) % 0.85/1.07 (assume @p491 (forall @t653 (=> (tptp.class_Orderings_Opreorder @t649) (tptp.class_Orderings_Opreorder @t651)))) % 0.85/1.07 (assume @p492 (forall @t653 (=> @t654 (tptp.class_Lattices_Olattice @t651)))) % 0.85/1.07 (assume @p493 (forall @t653 (=> (tptp.class_Orderings_Oorder @t649) (tptp.class_Orderings_Oorder @t651)))) % 0.85/1.07 (assume @p494 (forall @t653 (=> (tptp.class_Orderings_Oord @t649) (tptp.class_Orderings_Oord @t651)))) % 0.85/1.07 (assume @p495 (forall @t653 (=> (tptp.class_Orderings_Obot @t649) (tptp.class_Orderings_Obot @t651)))) % 0.85/1.07 (assume @p496 (forall @t653 (=> (tptp.class_Groups_Ominus @t649) (tptp.class_Groups_Ominus @t651)))) % 0.85/1.07 (assume @p497 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p498 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p500 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p501 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p502 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p503 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p504 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 0.85/1.07 (assume @p505 (forall (@list @t655 @t21) (= (tptp.hAPP @t145 @t655) @t655))) % 0.85/1.07 (assume @p506 (forall (@list @t656 @t655 @t86 @t21) (= (tptp.hAPP (tptp.c_COMBK @t21 @t86 @t655) @t656) @t655))) % 0.85/1.07 (assume @p507 (forall (@list @t84 @t600 @t174 @t219 @t21 @t86) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t86 @t21 @t219 @t174) @t600) @t84) (tptp.hAPP @t174 @t657)))) % 0.85/1.07 (assume @p508 (forall @t659 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t86 @t219 @t21) @t174) @t600) @t84) (tptp.hAPP @t658 @t600)))) % 0.85/1.07 (assume @p509 (forall @t659 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t86 @t219 @t21) @t174) @t600) @t84) (tptp.hAPP @t658 @t657)))) % 0.85/1.07 (assume @p510 (forall @t661 (or (not @t660) @t32))) % 0.85/1.07 (assume @p511 (forall @t661 (or @t33 @t660))) % 0.85/1.07 (assume @p512 (forall @t665 (or (not @t664) @t663))) % 0.85/1.07 (assume @p513 (forall @t665 (or (not @t663) @t664))) % 0.85/1.07 (assume @p514 (forall @t668 (or @t663 (not @t667) @t666))) % 0.85/1.07 (assume @p515 (forall @t668 (or @t669 @t662))) % 0.85/1.07 (assume @p516 (forall @t668 (or @t669 @t667))) % 0.85/1.07 (assume @p517 (not @t670)) % 0.85/1.07 (assume @p518 true) % 0.85/1.07 (step @p519 :rule aci_norm :args ((= (or @t671 (or @t109 @t126)) @t672))) % 0.85/1.07 (step @p520 :rule bool-impl-elim :args (@t39 @t126)) % 0.85/1.07 (step @p521 :rule refl :args (@t671)) % 0.85/1.07 (step @p522 :rule nary_cong :premises (@p521 @p520) :args ((or @t671 @t127))) % 0.85/1.07 (step @p523 :rule trans :premises (@p522 @p519)) % 0.85/1.07 (step @p524 :rule bool-impl-elim :args (@t129 @t127)) % 0.85/1.07 (step @p525 :rule trans :premises (@p524 @p523)) % 0.85/1.07 (step @p526 :rule cong :premises (@p525) :args (@t130)) % 0.85/1.07 (step @p527 :rule eq_resolve :premises (@p39 @p526)) % 0.85/1.07 (step @p528 :rule cnf_or_pos :args (@t675)) % 0.85/1.07 (step @p529 :rule reordering :premises (@p528) :args ((or @t670 @t673 @t674 @t676))) % 0.85/1.07 (step @p530 :rule chain_m_resolution :premises (@p529 @p517 @p4 @p24) :args (@t676 (@list true false false) (@list @t670 @t13 @t76))) % 0.85/1.07 (assume-push @p537 @t677) % 0.85/1.07 (step @p532 :rule instantiate :premises (@p527) :args ((@list tptp.v_Q____ tptp.c_Arrow__Order__Mirabelle_OLin tptp.c_Arrow__Order__Mirabelle_OProf tptp.v_F @t10 @t11))) % 0.85/1.07 (step-pop @p538 :rule scope :premises (@p532)) % 0.85/1.07 (step @p533 :rule process_scope :premises (@p538) :args (@t675)) % 0.85/1.07 (step @p535 :rule implies_elim :premises (@p533)) % 0.85/1.07 (step @p536 false :rule chain_m_resolution :premises (@p535 @p530 @p527) :args (false (@list true false) (@list @t675 @t677))) % 0.85/1.07 ) % 0.85/1.07 % SZS output end Proof % 0.85/1.07 % cvc5 exiting %------------------------------------------------------------------------------