%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT140+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 : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:46:21 AM UTC 2026 % Result : Theorem 65.97s 66.14s % Output : Proof 65.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT140+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n020.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:30:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.41/0.67 %----Proving TF0_NAR, FOF, or CNF % 65.97/66.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 65.97/66.14 --- Run --no-e-matching --full-saturate-quant at 6... % 65.97/66.14 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 65.97/66.14 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 65.97/66.14 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 65.97/66.14 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.97/66.14 % SZS status Theorem % 65.97/66.14 % SZS output start Proof % 65.97/66.14 ( % 65.97/66.14 (declare-sort $$unsorted 0) % 65.97/66.14 (declare-const tptp.class_Lattices_Obounded__lattice (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.class_Orderings_Obot (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Lattices_Osemilattice__sup__class_Osup (-> $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Set_Oinsert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Relation_OField (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Product__Type_Ocurry (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Product__Type_Ointernal__split (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Product__Type_Oprod_Oprod__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Product__Type_OSigma (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Wellfounded_Oacyclic (-> $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.tc_Nat_Onat $$unsorted) % 65.97/66.14 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_fNot $$unsorted) % 65.97/66.14 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Relation_OId (-> $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Transitive__Closure_Otrancl (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Relation_Oinv__image (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Relation_Orefl__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.class_Lattices_Osemilattice__inf (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Recdef_Owfrec__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_FuncSet_Orestrict (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Relation_Oirrefl (-> $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.v_a____ $$unsorted) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_Omkbot (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Relation_Orel__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Relation_Osingle__valued (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.class_Lattices_Osemilattice__sup (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oindi $$unsorted) % 65.97/66.14 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Nitpick_Orefl_H (-> $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_FunDef_Oin__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.tc_HOL_Obool $$unsorted) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_OProf $$unsorted) % 65.97/66.14 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.v_F $$unsorted) % 65.97/66.14 (declare-const tptp.c_FuncSet_Oextensional__funcset (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Recdef_Osame__fst (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_HOL_Oundefined (-> $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_Ounanimity (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.tc_prod (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Recdef_Oadm__wf (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.v_b____ $$unsorted) % 65.97/66.14 (declare-const tptp.c_member (-> $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Orderings_Obot__class_Obot (-> $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_FuncSet_OPi (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_Omktop (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Relation_ODomain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Product__Type_OPair (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.v_c____ $$unsorted) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_Obelow $$unsorted) % 65.97/66.14 (declare-const tptp.c_fequal $$unsorted) % 65.97/66.14 (declare-const tptp.c_Relation_OId__on (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.tc_Arrow__Order__Mirabelle_Oalt $$unsorted) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_OLin $$unsorted) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_Odictator (-> $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_Oabove (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_FuncSet_Ocompose (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Wellfounded_Oacc (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Fun_Ofun__upd (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.class_Lattices_Obounded__lattice__bot (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.v_P____ $$unsorted) % 65.97/66.14 (declare-const tptp.c_FuncSet_Oextensional (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Transitive__Closure_Ortrancl (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.v_P_H____ $$unsorted) % 65.97/66.14 (declare-const tptp.c_Nitpick_Owf__wfrec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Nitpick_Owf__wfrec_H (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Recdef_Ocut (-> $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Predicate_ODomainP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Relation_ORange (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Lattices_Osemilattice__inf__class_Oinf (-> $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Predicate_ORangeP (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Wellfounded_Omlex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Wellfounded_Olex__prod (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 65.97/66.14 (declare-const tptp.c_Arrow__Order__Mirabelle_OIIA (-> $$unsorted Bool)) % 65.97/66.14 (declare-const tptp.c_Relation_Ototal__on (-> $$unsorted $$unsorted $$unsorted Bool)) % 65.97/66.14 (define @t1 () (@var "V_g_2" $$unsorted)) % 65.97/66.14 (define @t2 () (@var "V_f_2" $$unsorted)) % 65.97/66.14 (define @t3 () (= @t2 @t1)) % 65.97/66.14 (define @t4 () (@var "B_x" $$unsorted)) % 65.97/66.14 (define @t5 () (tptp.hAPP @t1 @t4)) % 65.97/66.14 (define @t6 () (tptp.hAPP @t2 @t4)) % 65.97/66.14 (define @t7 () (= @t6 @t5)) % 65.97/66.14 (define @t8 () (@list @t4)) % 65.97/66.14 (define @t9 () (= tptp.v_a____ tptp.v_b____)) % 65.97/66.14 (define @t10 () (not @t9)) % 65.97/66.14 (define @t11 () (= tptp.v_a____ tptp.v_c____)) % 65.97/66.14 (define @t12 () (@var "B_i" $$unsorted)) % 65.97/66.14 (define @t13 () (tptp.hAPP tptp.v_P____ @t12)) % 65.97/66.14 (define @t14 () (tptp.c_Product__Type_OPair tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 65.97/66.14 (define @t15 () (tptp.hAPP @t14 tptp.v_a____)) % 65.97/66.14 (define @t16 () (tptp.tc_prod tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oalt)) % 65.97/66.14 (define @t17 () (tptp.c_member @t16)) % 65.97/66.14 (define @t18 () (tptp.hAPP @t17 (tptp.hAPP @t15 tptp.v_c____))) % 65.97/66.14 (define @t19 () (tptp.hAPP @t17 (tptp.hAPP @t15 tptp.v_b____))) % 65.97/66.14 (define @t20 () (tptp.hBOOL (tptp.hAPP @t19 @t13))) % 65.97/66.14 (define @t21 () (@list @t12)) % 65.97/66.14 (define @t22 () (tptp.tc_fun @t16 tptp.tc_HOL_Obool)) % 65.97/66.14 (define @t23 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oindi @t22)) % 65.97/66.14 (define @t24 () (tptp.c_member @t23)) % 65.97/66.14 (define @t25 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 tptp.v_P____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.14 (define @t26 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t22)) % 65.97/66.14 (define @t27 () (tptp.tc_fun tptp.tc_Arrow__Order__Mirabelle_Oalt @t26)) % 65.97/66.14 (define @t28 () (tptp.c_COMBB @t22 @t27 tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.c_Arrow__Order__Mirabelle_Obelow)) % 65.97/66.14 (define @t29 () (tptp.hAPP @t28 tptp.v_P____)) % 65.97/66.14 (define @t30 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t26)) % 65.97/66.14 (define @t31 () (tptp.hAPP (tptp.hAPP @t30 @t29) tptp.v_c____)) % 65.97/66.14 (define @t32 () (tptp.c_COMBC tptp.tc_Arrow__Order__Mirabelle_Oindi tptp.tc_Arrow__Order__Mirabelle_Oalt @t22)) % 65.97/66.14 (define @t33 () (tptp.hAPP (tptp.hAPP @t32 @t31) tptp.v_b____)) % 65.97/66.14 (define @t34 () (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP @t28 @t33)) tptp.v_b____)) tptp.v_a____)) % 65.97/66.14 (define @t35 () (@var "V_B_2" $$unsorted)) % 65.97/66.14 (define @t36 () (@var "V_ca_2" $$unsorted)) % 65.97/66.14 (define @t37 () (@var "T_a" $$unsorted)) % 65.97/66.14 (define @t38 () (tptp.c_member @t37)) % 65.97/66.14 (define @t39 () (tptp.hAPP @t38 @t36)) % 65.97/66.14 (define @t40 () (tptp.hBOOL (tptp.hAPP @t39 @t35))) % 65.97/66.14 (define @t41 () (@var "V_A_2" $$unsorted)) % 65.97/66.14 (define @t42 () (tptp.hBOOL (tptp.hAPP @t39 @t41))) % 65.97/66.14 (define @t43 () (=> (not @t42) @t40)) % 65.97/66.14 (define @t44 () (not @t40)) % 65.97/66.14 (define @t45 () (=> @t42 @t44)) % 65.97/66.14 (define @t46 () (= @t41 @t35)) % 65.97/66.14 (define @t47 () (@var "V_S_2" $$unsorted)) % 65.97/66.14 (define @t48 () (@var "V_R_2" $$unsorted)) % 65.97/66.15 (define @t49 () (= @t48 @t47)) % 65.97/66.15 (define @t50 () (@var "T_b" $$unsorted)) % 65.97/66.15 (define @t51 () (tptp.c_Product__Type_OPair @t37 @t50)) % 65.97/66.15 (define @t52 () (tptp.tc_prod @t37 @t50)) % 65.97/66.15 (define @t53 () (tptp.c_member @t52)) % 65.97/66.15 (define @t54 () (tptp.tc_fun @t52 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t55 () (tptp.tc_fun @t54 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t56 () (tptp.tc_fun @t50 @t55)) % 65.97/66.15 (define @t57 () (tptp.tc_fun @t50 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t58 () (tptp.hAPP (tptp.c_COMBC @t37 @t54 @t57) (tptp.hAPP (tptp.c_COMBB @t56 (tptp.tc_fun @t54 @t57) @t37 (tptp.c_COMBC @t50 @t54 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t50 @t52) @t56 @t37 (tptp.c_COMBB @t52 @t55 @t50 @t53)) @t51)))) % 65.97/66.15 (define @t59 () (tptp.hAPP @t58 @t47)) % 65.97/66.15 (define @t60 () (tptp.hAPP @t58 @t48)) % 65.97/66.15 (define @t61 () (@list @t47 @t48 @t50 @t37)) % 65.97/66.15 (define @t62 () (@var "V_L_2" $$unsorted)) % 65.97/66.15 (define @t63 () (@var "V_y_2" $$unsorted)) % 65.97/66.15 (define @t64 () (@var "V_x_2" $$unsorted)) % 65.97/66.15 (define @t65 () (tptp.hAPP @t14 @t64)) % 65.97/66.15 (define @t66 () (tptp.hAPP @t17 (tptp.hAPP @t65 @t63))) % 65.97/66.15 (define @t67 () (tptp.hBOOL (tptp.hAPP @t66 @t62))) % 65.97/66.15 (define @t68 () (@var "V_z_2" $$unsorted)) % 65.97/66.15 (define @t69 () (= @t64 @t68)) % 65.97/66.15 (define @t70 () (not @t69)) % 65.97/66.15 (define @t71 () (= @t64 @t63)) % 65.97/66.15 (define @t72 () (not @t71)) % 65.97/66.15 (define @t73 () (= @t63 @t68)) % 65.97/66.15 (define @t74 () (not @t73)) % 65.97/66.15 (define @t75 () (@list @t68 @t62 @t63 @t64)) % 65.97/66.15 (define @t76 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t33) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.15 (define @t77 () (@var "V_P_Ha_2" $$unsorted)) % 65.97/66.15 (define @t78 () (@var "V_b_H_2" $$unsorted)) % 65.97/66.15 (define @t79 () (@var "V_a_H_2" $$unsorted)) % 65.97/66.15 (define @t80 () (tptp.hAPP @t17 (tptp.hAPP (tptp.hAPP @t14 @t79) @t78))) % 65.97/66.15 (define @t81 () (tptp.hBOOL (tptp.hAPP @t80 (tptp.hAPP tptp.v_F @t77)))) % 65.97/66.15 (define @t82 () (@var "V_Pa_2" $$unsorted)) % 65.97/66.15 (define @t83 () (@var "V_ba_2" $$unsorted)) % 65.97/66.15 (define @t84 () (@var "V_aa_2" $$unsorted)) % 65.97/66.15 (define @t85 () (tptp.hAPP @t14 @t84)) % 65.97/66.15 (define @t86 () (tptp.hAPP @t17 (tptp.hAPP @t85 @t83))) % 65.97/66.15 (define @t87 () (tptp.hBOOL (tptp.hAPP @t86 (tptp.hAPP tptp.v_F @t82)))) % 65.97/66.15 (define @t88 () (= @t87 @t81)) % 65.97/66.15 (define @t89 () (forall @t21 (= (tptp.hBOOL (tptp.hAPP @t86 (tptp.hAPP @t82 @t12))) (tptp.hBOOL (tptp.hAPP @t80 (tptp.hAPP @t77 @t12)))))) % 65.97/66.15 (define @t90 () (=> @t89 @t88)) % 65.97/66.15 (define @t91 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t77) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.15 (define @t92 () (=> @t91 @t90)) % 65.97/66.15 (define @t93 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t82) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.15 (define @t94 () (=> @t93 @t92)) % 65.97/66.15 (define @t95 () (not (= @t83 @t79))) % 65.97/66.15 (define @t96 () (=> @t95 @t94)) % 65.97/66.15 (define @t97 () (not (= @t84 @t78))) % 65.97/66.15 (define @t98 () (=> @t97 @t96)) % 65.97/66.15 (define @t99 () (not (= @t79 @t78))) % 65.97/66.15 (define @t100 () (=> @t99 @t98)) % 65.97/66.15 (define @t101 () (= @t84 @t83)) % 65.97/66.15 (define @t102 () (not @t101)) % 65.97/66.15 (define @t103 () (=> @t102 @t100)) % 65.97/66.15 (define @t104 () (@list @t77 @t82 @t78 @t79 @t83 @t84)) % 65.97/66.15 (define @t105 () (forall @t104 @t103)) % 65.97/66.15 (define @t106 () (tptp.hAPP @t51 @t64)) % 65.97/66.15 (define @t107 () (tptp.hAPP @t106 @t63)) % 65.97/66.15 (define @t108 () (tptp.hAPP @t53 @t107)) % 65.97/66.15 (define @t109 () (@var "V_y_H_2" $$unsorted)) % 65.97/66.15 (define @t110 () (tptp.c_Product__Type_OPair @t52 @t52)) % 65.97/66.15 (define @t111 () (tptp.c_member (tptp.tc_prod @t52 @t52))) % 65.97/66.15 (define @t112 () (tptp.c_Product__Type_OPair @t50 @t50)) % 65.97/66.15 (define @t113 () (tptp.c_member (tptp.tc_prod @t50 @t50))) % 65.97/66.15 (define @t114 () (tptp.hAPP @t82 @t64)) % 65.97/66.15 (define @t115 () (tptp.hBOOL @t114)) % 65.97/66.15 (define @t116 () (tptp.tc_fun @t37 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t117 () (tptp.hAPP (tptp.c_COMBC @t37 @t116 tptp.tc_HOL_Obool) @t38)) % 65.97/66.15 (define @t118 () (tptp.hAPP @t117 @t47)) % 65.97/66.15 (define @t119 () (tptp.hAPP @t117 @t48)) % 65.97/66.15 (define @t120 () (@list @t47 @t48 @t37)) % 65.97/66.15 (define @t121 () (tptp.hAPP @t38 @t84)) % 65.97/66.15 (define @t122 () (tptp.hBOOL (tptp.hAPP @t121 @t41))) % 65.97/66.15 (define @t123 () (tptp.hAPP @t38 @t83)) % 65.97/66.15 (define @t124 () (@list @t41 @t37 @t83 @t84)) % 65.97/66.15 (define @t125 () (tptp.hAPP @t38 @t63)) % 65.97/66.15 (define @t126 () (tptp.hBOOL (tptp.hAPP @t125 @t41))) % 65.97/66.15 (define @t127 () (tptp.hAPP @t38 @t64)) % 65.97/66.15 (define @t128 () (tptp.hBOOL (tptp.hAPP @t127 @t41))) % 65.97/66.15 (define @t129 () (tptp.hBOOL (tptp.hAPP @t127 @t35))) % 65.97/66.15 (define @t130 () (@list @t63 @t64 @t37)) % 65.97/66.15 (define @t131 () (tptp.hAPP @t41 @t64)) % 65.97/66.15 (define @t132 () (tptp.hBOOL @t131)) % 65.97/66.15 (define @t133 () (@list @t41 @t64 @t37)) % 65.97/66.15 (define @t134 () (=> @t87 @t81)) % 65.97/66.15 (define @t135 () (=> @t89 @t134)) % 65.97/66.15 (define @t136 () (=> @t91 @t135)) % 65.97/66.15 (define @t137 () (=> @t93 @t136)) % 65.97/66.15 (define @t138 () (=> @t95 @t137)) % 65.97/66.15 (define @t139 () (=> @t97 @t138)) % 65.97/66.15 (define @t140 () (=> @t99 @t139)) % 65.97/66.15 (define @t141 () (=> @t102 @t140)) % 65.97/66.15 (define @t142 () (forall @t104 @t141)) % 65.97/66.15 (define @t143 () (tptp.c_FuncSet_OPi @t23 @t22 tptp.c_Arrow__Order__Mirabelle_OProf (tptp.c_COMBK (tptp.tc_fun @t22 tptp.tc_HOL_Obool) @t23 tptp.c_Arrow__Order__Mirabelle_OLin))) % 65.97/66.15 (define @t144 () (tptp.c_member (tptp.tc_fun @t23 @t22))) % 65.97/66.15 (define @t145 () (@var "B_xa" $$unsorted)) % 65.97/66.15 (define @t146 () (@var "V_Fa_2" $$unsorted)) % 65.97/66.15 (define @t147 () (@var "B_b" $$unsorted)) % 65.97/66.15 (define @t148 () (@var "B_a" $$unsorted)) % 65.97/66.15 (define @t149 () (tptp.hAPP @t17 (tptp.hAPP (tptp.hAPP @t14 @t148) @t147))) % 65.97/66.15 (define @t150 () (tptp.hAPP @t146 @t4)) % 65.97/66.15 (define @t151 () (tptp.hBOOL (tptp.hAPP @t149 @t150))) % 65.97/66.15 (define @t152 () (tptp.hBOOL (tptp.hAPP @t149 (tptp.hAPP @t4 @t12)))) % 65.97/66.15 (define @t153 () (@list @t148 @t147)) % 65.97/66.15 (define @t154 () (@list @t145)) % 65.97/66.15 (define @t155 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t4) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.15 (define @t156 () (@list @t146)) % 65.97/66.15 (define @t157 () (@var "V_s_2" $$unsorted)) % 65.97/66.15 (define @t158 () (= @t84 @t79)) % 65.97/66.15 (define @t159 () (@var "V_r_2" $$unsorted)) % 65.97/66.15 (define @t160 () (tptp.c_Product__Type_OPair @t37 @t37)) % 65.97/66.15 (define @t161 () (tptp.hAPP @t160 @t84)) % 65.97/66.15 (define @t162 () (tptp.tc_prod @t37 @t37)) % 65.97/66.15 (define @t163 () (tptp.c_member @t162)) % 65.97/66.15 (define @t164 () (tptp.hAPP (tptp.hAPP @t51 @t79) @t78)) % 65.97/66.15 (define @t165 () (tptp.hAPP @t51 @t84)) % 65.97/66.15 (define @t166 () (tptp.hAPP @t165 @t83)) % 65.97/66.15 (define @t167 () (= @t64 @t84)) % 65.97/66.15 (define @t168 () (tptp.hAPP @t14 @t83)) % 65.97/66.15 (define @t169 () (= @t63 @t83)) % 65.97/66.15 (define @t170 () (= @t63 @t84)) % 65.97/66.15 (define @t171 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t62)) % 65.97/66.15 (define @t172 () (tptp.c_member @t22)) % 65.97/66.15 (define @t173 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t172 @t62) tptp.c_Arrow__Order__Mirabelle_OLin))) % 65.97/66.15 (define @t174 () (@list @t63 @t64 @t62 @t83 @t84)) % 65.97/66.15 (define @t175 () (@var "V_i_2" $$unsorted)) % 65.97/66.15 (define @t176 () (tptp.hAPP @t4 @t175)) % 65.97/66.15 (define @t177 () (tptp.c_Arrow__Order__Mirabelle_Odictator @t146 @t175)) % 65.97/66.15 (define @t178 () (@list @t175 @t146)) % 65.97/66.15 (define @t179 () (tptp.hAPP @t160 @t4)) % 65.97/66.15 (define @t180 () (tptp.hAPP @t179 @t4)) % 65.97/66.15 (define @t181 () (tptp.hAPP @t163 @t180)) % 65.97/66.15 (define @t182 () (tptp.hBOOL (tptp.hAPP @t181 @t159))) % 65.97/66.15 (define @t183 () (@list @t159 @t37)) % 65.97/66.15 (define @t184 () (@var "B_z" $$unsorted)) % 65.97/66.15 (define @t185 () (@var "B_g" $$unsorted)) % 65.97/66.15 (define @t186 () (tptp.hAPP @t185 @t184)) % 65.97/66.15 (define @t187 () (@var "V_a1_2" $$unsorted)) % 65.97/66.15 (define @t188 () (tptp.hAPP @t160 @t184)) % 65.97/66.15 (define @t189 () (@list @t184)) % 65.97/66.15 (define @t190 () (forall @t189 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t188 @t187)) @t48)) (tptp.c_Recdef_Owfrec__rel @t37 @t50 @t48 @t146 @t184 @t186)))) % 65.97/66.15 (define @t191 () (tptp.hAPP @t146 @t185)) % 65.97/66.15 (define @t192 () (tptp.hAPP @t191 @t187)) % 65.97/66.15 (define @t193 () (@var "V_a2_2" $$unsorted)) % 65.97/66.15 (define @t194 () (tptp.hAPP (tptp.hAPP @t146 @t193) @t187)) % 65.97/66.15 (define @t195 () (@list @t185)) % 65.97/66.15 (define @t196 () (@list @t193 @t187 @t146 @t48 @t50 @t37)) % 65.97/66.15 (define @t197 () (@list @t62 @t63 @t64)) % 65.97/66.15 (define @t198 () (@list @t64 @t62)) % 65.97/66.15 (define @t199 () (not @t128)) % 65.97/66.15 (define @t200 () (tptp.hAPP @t35 @t64)) % 65.97/66.15 (define @t201 () (tptp.hAPP @t2 @t64)) % 65.97/66.15 (define @t202 () (tptp.c_member @t50)) % 65.97/66.15 (define @t203 () (tptp.hAPP @t202 @t201)) % 65.97/66.15 (define @t204 () (tptp.hBOOL (tptp.hAPP @t203 @t200))) % 65.97/66.15 (define @t205 () (tptp.c_FuncSet_OPi @t37 @t50 @t41 @t35)) % 65.97/66.15 (define @t206 () (tptp.tc_fun @t37 @t50)) % 65.97/66.15 (define @t207 () (tptp.c_member @t206)) % 65.97/66.15 (define @t208 () (tptp.hAPP @t207 @t2)) % 65.97/66.15 (define @t209 () (tptp.hBOOL (tptp.hAPP @t208 @t205))) % 65.97/66.15 (define @t210 () (@list @t64 @t35 @t41 @t2 @t50 @t37)) % 65.97/66.15 (define @t211 () (= @t64 @t83)) % 65.97/66.15 (define @t212 () (tptp.c_COMBK @t57 @t37 @t35)) % 65.97/66.15 (define @t213 () (tptp.c_FuncSet_OPi @t37 @t50 @t41 @t212)) % 65.97/66.15 (define @t214 () (tptp.hBOOL (tptp.hAPP @t208 @t213))) % 65.97/66.15 (define @t215 () (tptp.c_COMBK @t116 @t37 @t41)) % 65.97/66.15 (define @t216 () (tptp.c_COMBI @t37)) % 65.97/66.15 (define @t217 () (tptp.tc_fun @t37 @t37)) % 65.97/66.15 (define @t218 () (@list @t41 @t37)) % 65.97/66.15 (define @t219 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t188 @t64)) @t48))) % 65.97/66.15 (define @t220 () (tptp.hAPP @t35 @t4)) % 65.97/66.15 (define @t221 () (tptp.hAPP @t202 @t6)) % 65.97/66.15 (define @t222 () (tptp.hAPP @t38 @t4)) % 65.97/66.15 (define @t223 () (tptp.hBOOL (tptp.hAPP @t222 @t41))) % 65.97/66.15 (define @t224 () (forall @t8 (=> @t223 (tptp.hBOOL (tptp.hAPP @t221 @t220))))) % 65.97/66.15 (define @t225 () (@list @t35 @t2 @t50 @t41 @t37)) % 65.97/66.15 (define @t226 () (forall @t8 (=> @t223 (tptp.hBOOL (tptp.hAPP @t221 @t35))))) % 65.97/66.15 (define @t227 () (tptp.hAPP @t207 @t1)) % 65.97/66.15 (define @t228 () (@var "B_w" $$unsorted)) % 65.97/66.15 (define @t229 () (@var "V_C_2" $$unsorted)) % 65.97/66.15 (define @t230 () (@var "T_c" $$unsorted)) % 65.97/66.15 (define @t231 () (tptp.tc_fun @t230 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t232 () (tptp.c_COMBK @t231 @t37 @t229)) % 65.97/66.15 (define @t233 () (tptp.c_FuncSet_Ocompose @t37 @t50 @t230 @t41 @t1 @t2)) % 65.97/66.15 (define @t234 () (tptp.c_COMBK @t231 @t50 @t229)) % 65.97/66.15 (define @t235 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t50 @t230)) @t1) (tptp.c_FuncSet_OPi @t50 @t230 @t35 @t234)))) % 65.97/66.15 (define @t236 () (@var "V_h_2" $$unsorted)) % 65.97/66.15 (define @t237 () (@var "T_d" $$unsorted)) % 65.97/66.15 (define @t238 () (@var "V_D_2" $$unsorted)) % 65.97/66.15 (define @t239 () (tptp.c_Wellfounded_Oacc @t37 @t159)) % 65.97/66.15 (define @t240 () (tptp.hBOOL (tptp.hAPP @t121 @t239))) % 65.97/66.15 (define @t241 () (tptp.hAPP @t161 @t83)) % 65.97/66.15 (define @t242 () (tptp.hAPP @t163 @t241)) % 65.97/66.15 (define @t243 () (tptp.hBOOL (tptp.hAPP @t242 @t159))) % 65.97/66.15 (define @t244 () (tptp.hBOOL (tptp.hAPP @t123 @t239))) % 65.97/66.15 (define @t245 () (@list @t159 @t84 @t37)) % 65.97/66.15 (define @t246 () (tptp.c_Recdef_Ocut @t37 @t50)) % 65.97/66.15 (define @t247 () (tptp.hAPP (tptp.hAPP @t246 @t2) @t159)) % 65.97/66.15 (define @t248 () (tptp.hAPP @t160 @t64)) % 65.97/66.15 (define @t249 () (tptp.hAPP @t163 (tptp.hAPP @t248 @t84))) % 65.97/66.15 (define @t250 () (tptp.c_FuncSet_Ocompose @t37 @t230 @t50 @t41 @t1 @t2)) % 65.97/66.15 (define @t251 () (@var "B_f" $$unsorted)) % 65.97/66.15 (define @t252 () (@var "B_R" $$unsorted)) % 65.97/66.15 (define @t253 () (@var "B_y" $$unsorted)) % 65.97/66.15 (define @t254 () (tptp.hAPP @t160 @t253)) % 65.97/66.15 (define @t255 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t254 @t64)) @t159))) % 65.97/66.15 (define @t256 () (@list @t253)) % 65.97/66.15 (define @t257 () (tptp.hAPP @t247 @t64)) % 65.97/66.15 (define @t258 () (tptp.tc_fun @t37 @t206)) % 65.97/66.15 (define @t259 () (tptp.tc_fun @t162 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t260 () (@list @t146 @t48 @t50 @t37)) % 65.97/66.15 (define @t261 () (tptp.hBOOL (tptp.hAPP @t127 @t239))) % 65.97/66.15 (define @t262 () (tptp.tc_fun @t259 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t263 () (tptp.tc_fun @t37 @t262)) % 65.97/66.15 (define @t264 () (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t37 @t259 @t116) (tptp.hAPP (tptp.c_COMBB @t263 (tptp.tc_fun @t259 @t116) @t37 (tptp.c_COMBC @t37 @t259 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t37 @t162) @t263 @t37 (tptp.c_COMBB @t162 @t262 @t37 @t163)) @t160))) @t159)) % 65.97/66.15 (define @t265 () (tptp.c_Wellfounded_Oacc @t37 @t48)) % 65.97/66.15 (define @t266 () (tptp.c_HOL_Oundefined @t50)) % 65.97/66.15 (define @t267 () (tptp.hAPP @t257 @t63)) % 65.97/66.15 (define @t268 () (tptp.hAPP @t160 @t63)) % 65.97/66.15 (define @t269 () (tptp.hAPP @t268 @t64)) % 65.97/66.15 (define @t270 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 @t269) @t159))) % 65.97/66.15 (define @t271 () (tptp.hAPP @t2 @t63)) % 65.97/66.15 (define @t272 () (tptp.c_FuncSet_Oextensional @t37 @t50 @t41)) % 65.97/66.15 (define @t273 () (tptp.c_Transitive__Closure_Ortrancl @t37 @t159)) % 65.97/66.15 (define @t274 () (tptp.hAPP @t160 @t83)) % 65.97/66.15 (define @t275 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t274 @t84)) @t273))) % 65.97/66.15 (define @t276 () (tptp.c_Wellfounded_Oaccp @t37 @t159)) % 65.97/66.15 (define @t277 () (tptp.hBOOL (tptp.hAPP @t276 @t84))) % 65.97/66.15 (define @t278 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t84) @t83))) % 65.97/66.15 (define @t279 () (tptp.hBOOL (tptp.hAPP @t276 @t83))) % 65.97/66.15 (define @t280 () (@list @t84 @t83 @t159 @t37)) % 65.97/66.15 (define @t281 () (@list @t84 @t159 @t37)) % 65.97/66.15 (define @t282 () (= @t201 @t266)) % 65.97/66.15 (define @t283 () (tptp.hBOOL (tptp.hAPP @t208 @t272))) % 65.97/66.15 (define @t284 () (tptp.hAPP @t163 (tptp.hAPP @t161 @t84))) % 65.97/66.15 (define @t285 () (@var "V_p_2" $$unsorted)) % 65.97/66.15 (define @t286 () (tptp.hAPP @t163 @t285)) % 65.97/66.15 (define @t287 () (tptp.hBOOL (tptp.hAPP @t286 @t159))) % 65.97/66.15 (define @t288 () (@list @t159 @t285 @t37)) % 65.97/66.15 (define @t289 () (tptp.hAPP @t163 (tptp.hAPP @t161 @t36))) % 65.97/66.15 (define @t290 () (tptp.hBOOL (tptp.hAPP @t289 @t273))) % 65.97/66.15 (define @t291 () (tptp.hAPP @t163 (tptp.hAPP @t274 @t36))) % 65.97/66.15 (define @t292 () (tptp.hBOOL (tptp.hAPP @t291 @t273))) % 65.97/66.15 (define @t293 () (=> @t292 @t290)) % 65.97/66.15 (define @t294 () (tptp.hBOOL (tptp.hAPP @t242 @t273))) % 65.97/66.15 (define @t295 () (@list @t36 @t159 @t83 @t84 @t37)) % 65.97/66.15 (define @t296 () (tptp.hBOOL (tptp.hAPP @t291 @t159))) % 65.97/66.15 (define @t297 () (@list @t35 @t41 @t2 @t50 @t37)) % 65.97/66.15 (define @t298 () (tptp.hBOOL (tptp.hAPP @t227 @t272))) % 65.97/66.15 (define @t299 () (tptp.c_FuncSet_Orestrict @t37 @t50 @t2 @t41)) % 65.97/66.15 (define @t300 () (@list @t41 @t2 @t50 @t37)) % 65.97/66.15 (define @t301 () (tptp.hAPP @t207 @t299)) % 65.97/66.15 (define @t302 () (tptp.hAPP @t299 @t64)) % 65.97/66.15 (define @t303 () (tptp.hAPP @t163 (tptp.hAPP @t268 @t68))) % 65.97/66.15 (define @t304 () (tptp.hAPP @t163 (tptp.hAPP @t248 @t68))) % 65.97/66.15 (define @t305 () (tptp.hBOOL (tptp.hAPP @t304 @t273))) % 65.97/66.15 (define @t306 () (tptp.hAPP @t163 (tptp.hAPP @t248 @t63))) % 65.97/66.15 (define @t307 () (tptp.hBOOL (tptp.hAPP @t306 @t273))) % 65.97/66.15 (define @t308 () (@list @t68 @t63 @t64 @t159 @t37)) % 65.97/66.15 (define @t309 () (tptp.c_Transitive__Closure_Ortrancl @t37 @t48)) % 65.97/66.15 (define @t310 () (tptp.hBOOL (tptp.hAPP @t306 @t309))) % 65.97/66.15 (define @t311 () (tptp.hBOOL (tptp.hAPP @t127 @t47))) % 65.97/66.15 (define @t312 () (not @t311)) % 65.97/66.15 (define @t313 () (@var "V_T_2" $$unsorted)) % 65.97/66.15 (define @t314 () (tptp.c_FuncSet_Oextensional__funcset @t37 @t50 @t47 @t313)) % 65.97/66.15 (define @t315 () (tptp.hBOOL (tptp.hAPP @t208 @t314))) % 65.97/66.15 (define @t316 () (@list @t64 @t313 @t47 @t2 @t50 @t37)) % 65.97/66.15 (define @t317 () (tptp.c_Transitive__Closure_Ortrancl @t52 @t159)) % 65.97/66.15 (define @t318 () (@var "V_zb_2" $$unsorted)) % 65.97/66.15 (define @t319 () (@var "V_za_2" $$unsorted)) % 65.97/66.15 (define @t320 () (tptp.hAPP (tptp.hAPP @t51 @t319) @t318)) % 65.97/66.15 (define @t321 () (tptp.hAPP (tptp.hAPP @t51 @t148) @t147)) % 65.97/66.15 (define @t322 () (tptp.hAPP @t110 @t321)) % 65.97/66.15 (define @t323 () (@var "V_xb_2" $$unsorted)) % 65.97/66.15 (define @t324 () (@var "V_xa_2" $$unsorted)) % 65.97/66.15 (define @t325 () (tptp.hAPP (tptp.hAPP @t51 @t324) @t323)) % 65.97/66.15 (define @t326 () (tptp.hAPP @t110 @t325)) % 65.97/66.15 (define @t327 () (@var "V_ay_2" $$unsorted)) % 65.97/66.15 (define @t328 () (@var "V_ax_2" $$unsorted)) % 65.97/66.15 (define @t329 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t328) @t327))) % 65.97/66.15 (define @t330 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t148) @t147))) % 65.97/66.15 (define @t331 () (@var "B_ba" $$unsorted)) % 65.97/66.15 (define @t332 () (@var "B_aa" $$unsorted)) % 65.97/66.15 (define @t333 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t332) @t331))) % 65.97/66.15 (define @t334 () (@var "V_by_2" $$unsorted)) % 65.97/66.15 (define @t335 () (@var "V_bx_2" $$unsorted)) % 65.97/66.15 (define @t336 () (tptp.hAPP (tptp.hAPP @t51 @t335) @t334)) % 65.97/66.15 (define @t337 () (tptp.hAPP (tptp.hAPP @t51 @t332) @t331)) % 65.97/66.15 (define @t338 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t322 @t337)) @t159))) % 65.97/66.15 (define @t339 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t82 @t335) @t334))) % 65.97/66.15 (define @t340 () (tptp.hAPP @t110 (tptp.hAPP (tptp.hAPP @t51 @t328) @t327))) % 65.97/66.15 (define @t341 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t340 @t336)) @t317))) % 65.97/66.15 (define @t342 () (@list @t82 @t159 @t334 @t335 @t327 @t328 @t50 @t37)) % 65.97/66.15 (define @t343 () (tptp.c_Relation_ODomain @t37 @t50 @t159)) % 65.97/66.15 (define @t344 () (tptp.hBOOL (tptp.hAPP @t121 @t343))) % 65.97/66.15 (define @t345 () (tptp.hAPP @t53 @t166)) % 65.97/66.15 (define @t346 () (tptp.hBOOL (tptp.hAPP @t345 @t159))) % 65.97/66.15 (define @t347 () (@list @t159 @t83 @t84 @t50 @t37)) % 65.97/66.15 (define @t348 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 (tptp.hAPP @t165 @t253)) @t159))) % 65.97/66.15 (define @t349 () (@list @t159 @t50 @t84 @t37)) % 65.97/66.15 (define @t350 () (tptp.c_Relation_Osingle__valued @t37 @t50 @t159)) % 65.97/66.15 (define @t351 () (tptp.hAPP @t51 @t4)) % 65.97/66.15 (define @t352 () (tptp.hAPP @t351 @t184)) % 65.97/66.15 (define @t353 () (tptp.hAPP @t351 @t253)) % 65.97/66.15 (define @t354 () (forall (@list @t4 @t253) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t353) @t159)) (forall @t189 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t352) @t159)) (= @t253 @t184)))))) % 65.97/66.15 (define @t355 () (@list @t159 @t50 @t37)) % 65.97/66.15 (define @t356 () (tptp.hAPP @t58 @t159)) % 65.97/66.15 (define @t357 () (@list @t64 @t159 @t50 @t37)) % 65.97/66.15 (define @t358 () (@list @t50 @t37 @t83 @t84 @t159)) % 65.97/66.15 (define @t359 () (tptp.c_Relation_ORange @t37 @t50 @t159)) % 65.97/66.15 (define @t360 () (tptp.hAPP @t202 @t83)) % 65.97/66.15 (define @t361 () (tptp.c_Relation_OId__on @t37 @t41)) % 65.97/66.15 (define @t362 () (@list @t41 @t63 @t64 @t37)) % 65.97/66.15 (define @t363 () (tptp.tc_fun @t206 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t364 () (tptp.hBOOL (tptp.hAPP @t82 @t83))) % 65.97/66.15 (define @t365 () (tptp.hBOOL (tptp.hAPP @t82 @t184))) % 65.97/66.15 (define @t366 () (tptp.hBOOL (tptp.hAPP @t82 @t253))) % 65.97/66.15 (define @t367 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t254 @t184)) @t159))) % 65.97/66.15 (define @t368 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t161 @t253)) @t273))) % 65.97/66.15 (define @t369 () (tptp.hBOOL (tptp.hAPP @t82 @t84))) % 65.97/66.15 (define @t370 () (@list @t82 @t159 @t83 @t84 @t37)) % 65.97/66.15 (define @t371 () (tptp.hBOOL @t200)) % 65.97/66.15 (define @t372 () (not @t371)) % 65.97/66.15 (define @t373 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t116)) % 65.97/66.15 (define @t374 () (tptp.hAPP @t373 @t41)) % 65.97/66.15 (define @t375 () (tptp.hAPP @t374 @t35)) % 65.97/66.15 (define @t376 () (tptp.hBOOL (tptp.hAPP @t375 @t64))) % 65.97/66.15 (define @t377 () (@list @t64 @t35 @t41 @t37)) % 65.97/66.15 (define @t378 () (tptp.hBOOL (tptp.hAPP @t39 @t375))) % 65.97/66.15 (define @t379 () (@list @t35 @t41 @t36 @t37)) % 65.97/66.15 (define @t380 () (tptp.hAPP @t373 @t35)) % 65.97/66.15 (define @t381 () (tptp.hAPP @t380 @t229)) % 65.97/66.15 (define @t382 () (tptp.hAPP @t374 @t381)) % 65.97/66.15 (define @t383 () (@list @t229 @t35 @t41 @t37)) % 65.97/66.15 (define @t384 () (tptp.hAPP @t374 @t229)) % 65.97/66.15 (define @t385 () (@list @t35 @t41 @t37)) % 65.97/66.15 (define @t386 () (tptp.hAPP @t380 @t41)) % 65.97/66.15 (define @t387 () (@list @t64 @t47 @t48 @t37)) % 65.97/66.15 (define @t388 () (tptp.c_Product__Type_OPair @t50 @t37)) % 65.97/66.15 (define @t389 () (tptp.tc_prod @t50 @t37)) % 65.97/66.15 (define @t390 () (tptp.c_member @t389)) % 65.97/66.15 (define @t391 () (tptp.c_Relation_ORange @t50 @t37 @t159)) % 65.97/66.15 (define @t392 () (tptp.hAPP @t1 @t64)) % 65.97/66.15 (define @t393 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t37)) % 65.97/66.15 (define @t394 () (tptp.tc_fun @t50 @t37)) % 65.97/66.15 (define @t395 () (tptp.class_Lattices_Olattice @t37)) % 65.97/66.15 (define @t396 () (@list @t64 @t1 @t2 @t50 @t37)) % 65.97/66.15 (define @t397 () (@list @t159 @t83 @t84 @t37)) % 65.97/66.15 (define @t398 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t54)) % 65.97/66.15 (define @t399 () (tptp.tc_fun @t37 @t57)) % 65.97/66.15 (define @t400 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t399)) % 65.97/66.15 (define @t401 () (@var "V_z" $$unsorted)) % 65.97/66.15 (define @t402 () (@var "V_y" $$unsorted)) % 65.97/66.15 (define @t403 () (tptp.hAPP @t393 @t402)) % 65.97/66.15 (define @t404 () (tptp.hAPP @t403 @t401)) % 65.97/66.15 (define @t405 () (@var "V_x" $$unsorted)) % 65.97/66.15 (define @t406 () (tptp.hAPP @t393 @t405)) % 65.97/66.15 (define @t407 () (tptp.hAPP @t406 @t404)) % 65.97/66.15 (define @t408 () (tptp.hAPP @t406 @t402)) % 65.97/66.15 (define @t409 () (= (tptp.hAPP (tptp.hAPP @t393 @t408) @t401) @t407)) % 65.97/66.15 (define @t410 () (tptp.class_Lattices_Osemilattice__inf @t37)) % 65.97/66.15 (define @t411 () (@list @t401 @t402 @t405 @t37)) % 65.97/66.15 (define @t412 () (@var "V_c" $$unsorted)) % 65.97/66.15 (define @t413 () (@var "V_b" $$unsorted)) % 65.97/66.15 (define @t414 () (tptp.hAPP @t393 @t413)) % 65.97/66.15 (define @t415 () (@var "V_a" $$unsorted)) % 65.97/66.15 (define @t416 () (tptp.hAPP @t393 @t415)) % 65.97/66.15 (define @t417 () (tptp.hAPP @t416 (tptp.hAPP @t414 @t412))) % 65.97/66.15 (define @t418 () (tptp.hAPP @t416 @t413)) % 65.97/66.15 (define @t419 () (@list @t412 @t413 @t415 @t37)) % 65.97/66.15 (define @t420 () (tptp.hAPP @t406 @t401)) % 65.97/66.15 (define @t421 () (= @t407 (tptp.hAPP @t403 @t420))) % 65.97/66.15 (define @t422 () (@list @t412 @t415 @t413 @t37)) % 65.97/66.15 (define @t423 () (= (tptp.hAPP @t406 @t408) @t408)) % 65.97/66.15 (define @t424 () (@list @t402 @t405 @t37)) % 65.97/66.15 (define @t425 () (@list @t413 @t415 @t37)) % 65.97/66.15 (define @t426 () (tptp.hAPP @t403 @t405)) % 65.97/66.15 (define @t427 () (= @t408 @t426)) % 65.97/66.15 (define @t428 () (= (tptp.hAPP @t406 @t405) @t405)) % 65.97/66.15 (define @t429 () (@list @t405 @t37)) % 65.97/66.15 (define @t430 () (@list @t415 @t37)) % 65.97/66.15 (define @t431 () (not (= @t4 @t145))) % 65.97/66.15 (define @t432 () (tptp.hAPP @t38 @t145)) % 65.97/66.15 (define @t433 () (@list @t159 @t41 @t37)) % 65.97/66.15 (define @t434 () (tptp.c_Relation_Orefl__on @t37 @t41 @t159)) % 65.97/66.15 (define @t435 () (tptp.hBOOL (tptp.hAPP @t306 @t159))) % 65.97/66.15 (define @t436 () (@list @t63 @t64 @t159 @t41 @t37)) % 65.97/66.15 (define @t437 () (tptp.hBOOL (tptp.hAPP @t200 @t63))) % 65.97/66.15 (define @t438 () (tptp.hBOOL (tptp.hAPP @t131 @t63))) % 65.97/66.15 (define @t439 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t400 @t41) @t35) @t64) @t63))) % 65.97/66.15 (define @t440 () (@list @t63 @t64 @t35 @t41 @t50 @t37)) % 65.97/66.15 (define @t441 () (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t259)) % 65.97/66.15 (define @t442 () (tptp.c_Relation_Orefl__on @t37 @t35 @t157)) % 65.97/66.15 (define @t443 () (@list @t157 @t35 @t159 @t41 @t37)) % 65.97/66.15 (define @t444 () (tptp.c_Transitive__Closure_Otrancl @t37 @t159)) % 65.97/66.15 (define @t445 () (tptp.hBOOL (tptp.hAPP @t242 @t444))) % 65.97/66.15 (define @t446 () (tptp.c_Relation_ORange @t50 @t37 @t35)) % 65.97/66.15 (define @t447 () (tptp.c_Relation_ORange @t50 @t37 @t41)) % 65.97/66.15 (define @t448 () (tptp.tc_fun @t389 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t449 () (@list @t35 @t41 @t50 @t37)) % 65.97/66.15 (define @t450 () (tptp.c_Relation_ODomain @t37 @t50 @t35)) % 65.97/66.15 (define @t451 () (tptp.c_Relation_ODomain @t37 @t50 @t41)) % 65.97/66.15 (define @t452 () (tptp.c_Relation_OId @t37)) % 65.97/66.15 (define @t453 () (@list @t84 @t37)) % 65.97/66.15 (define @t454 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t35 @t41)) % 65.97/66.15 (define @t455 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t41 @t35)) % 65.97/66.15 (define @t456 () (tptp.c_Transitive__Closure_Ortranclp @t37 @t159)) % 65.97/66.15 (define @t457 () (tptp.hAPP @t456 @t84)) % 65.97/66.15 (define @t458 () (tptp.hAPP @t456 @t64)) % 65.97/66.15 (define @t459 () (tptp.hBOOL (tptp.hAPP @t458 @t63))) % 65.97/66.15 (define @t460 () (@var "V_R1_2" $$unsorted)) % 65.97/66.15 (define @t461 () (@var "V_R2_2" $$unsorted)) % 65.97/66.15 (define @t462 () (@list @t461 @t460 @t37)) % 65.97/66.15 (define @t463 () (@list @t37 @t35 @t41)) % 65.97/66.15 (define @t464 () (@var "V_Q_2" $$unsorted)) % 65.97/66.15 (define @t465 () (tptp.hAPP @t464 @t64)) % 65.97/66.15 (define @t466 () (tptp.hBOOL @t465)) % 65.97/66.15 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t82 @t464)) % 65.97/66.15 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t41 @t229)) % 65.97/66.15 (define @t469 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t35 @t229)) % 65.97/66.15 (define @t470 () (@var "V_A_H_2" $$unsorted)) % 65.97/66.15 (define @t471 () (@var "V_a3_2" $$unsorted)) % 65.97/66.15 (define @t472 () (tptp.hAPP @t456 @t187)) % 65.97/66.15 (define @t473 () (@list @t147)) % 65.97/66.15 (define @t474 () (tptp.hBOOL (tptp.hAPP @t457 @t36))) % 65.97/66.15 (define @t475 () (tptp.hAPP @t456 @t83)) % 65.97/66.15 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t159 @t157)) % 65.97/66.15 (define @t477 () (tptp.hBOOL (tptp.hAPP @t286 @t444))) % 65.97/66.15 (define @t478 () (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t159 @t157)) % 65.97/66.15 (define @t479 () (@list @t157 @t159 @t50 @t37)) % 65.97/66.15 (define @t480 () (@list @t35 @t41 @t64 @t37)) % 65.97/66.15 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t408 @t405)) % 65.97/66.15 (define @t482 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t408 @t402)) % 65.97/66.15 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t64 @t63)) % 65.97/66.15 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t64 @t68)) % 65.97/66.15 (define @t485 () (@list @t68 @t63 @t64 @t37)) % 65.97/66.15 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t418 @t405)) % 65.97/66.15 (define @t487 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t415 @t405)) % 65.97/66.15 (define @t488 () (@list @t413 @t405 @t415 @t37)) % 65.97/66.15 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t413 @t405)) % 65.97/66.15 (define @t490 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t402)) % 65.97/66.15 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t402 @t405)) % 65.97/66.15 (define @t492 () (@list @t405 @t402 @t37)) % 65.97/66.15 (define @t493 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t418)) % 65.97/66.15 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t413)) % 65.97/66.15 (define @t495 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t415)) % 65.97/66.15 (define @t496 () (@list @t413 @t415 @t405 @t37)) % 65.97/66.15 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t401)) % 65.97/66.15 (define @t498 () (@var "V_d" $$unsorted)) % 65.97/66.15 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t413 @t498)) % 65.97/66.15 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t415 @t412)) % 65.97/66.15 (define @t501 () (@list @t498 @t413 @t412 @t415 @t37)) % 65.97/66.15 (define @t502 () (@list @t48 @t37)) % 65.97/66.15 (define @t503 () (tptp.c_Transitive__Closure_Otrancl @t37 @t48)) % 65.97/66.15 (define @t504 () (@list @t41 @t35 @t37)) % 65.97/66.15 (define @t505 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t229 @t41)) % 65.97/66.15 (define @t506 () (tptp.hAPP @t373 @t229)) % 65.97/66.15 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t35 @t238)) % 65.97/66.15 (define @t508 () (@list @t238 @t35 @t229 @t41 @t37)) % 65.97/66.15 (define @t509 () (tptp.c_Transitive__Closure_Ortrancl @t37 @t157)) % 65.97/66.15 (define @t510 () (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t273 @t509)) % 65.97/66.15 (define @t511 () (@list @t157 @t159 @t37)) % 65.97/66.15 (define @t512 () (tptp.c_Transitive__Closure_Ortrancl @t37 @t47)) % 65.97/66.15 (define @t513 () (tptp.c_Relation_ODomain @t37 @t37 @t159)) % 65.97/66.15 (define @t514 () (tptp.c_Relation_ORange @t37 @t37 @t159)) % 65.97/66.15 (define @t515 () (tptp.hBOOL (tptp.hAPP @t475 @t84))) % 65.97/66.15 (define @t516 () (@list @t37)) % 65.97/66.15 (define @t517 () (tptp.tc_fun @t37 @t116)) % 65.97/66.15 (define @t518 () (tptp.hBOOL (tptp.hAPP @t289 @t444))) % 65.97/66.15 (define @t519 () (=> (tptp.hBOOL (tptp.hAPP @t291 @t444)) @t518)) % 65.97/66.15 (define @t520 () (=> @t296 @t518)) % 65.97/66.15 (define @t521 () (@list @t83 @t84 @t37)) % 65.97/66.15 (define @t522 () (tptp.hBOOL (tptp.hAPP @t306 @t503))) % 65.97/66.15 (define @t523 () (@list @t48 @t63 @t64 @t37)) % 65.97/66.15 (define @t524 () (=> @t292 @t518)) % 65.97/66.15 (define @t525 () (tptp.class_Orderings_Opreorder @t37)) % 65.97/66.15 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq @t206 @t2 @t1)) % 65.97/66.15 (define @t527 () (tptp.class_Orderings_Oord @t50)) % 65.97/66.15 (define @t528 () (tptp.hAPP @t163 (tptp.hAPP @t188 @t63))) % 65.97/66.15 (define @t529 () (tptp.hAPP @t163 (tptp.hAPP @t248 @t184))) % 65.97/66.15 (define @t530 () (tptp.c_Transitive__Closure_Ortranclp @t37 @t48)) % 65.97/66.15 (define @t531 () (tptp.c_Transitive__Closure_Ortranclp @t37 @t47)) % 65.97/66.15 (define @t532 () (tptp.class_Orderings_Olinorder @t37)) % 65.97/66.15 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t63 @t64)) % 65.97/66.15 (define @t534 () (tptp.class_Orderings_Oorder @t37)) % 65.97/66.15 (define @t535 () (= @t405 @t402)) % 65.97/66.15 (define @t536 () (= @t415 @t413)) % 65.97/66.15 (define @t537 () (tptp.class_Orderings_Oord @t37)) % 65.97/66.15 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t412 @t415)) % 65.97/66.15 (define @t539 () (= @t413 @t412)) % 65.97/66.15 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t401 @t405)) % 65.97/66.15 (define @t541 () (@list @t401 @t405 @t402 @t37)) % 65.97/66.15 (define @t542 () (tptp.hBOOL (tptp.hAPP @t465 @t63))) % 65.97/66.15 (define @t543 () (tptp.hBOOL (tptp.hAPP @t114 @t63))) % 65.97/66.15 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t399 @t82 @t464)) % 65.97/66.15 (define @t545 () (forall @t8 (not (tptp.hBOOL (tptp.hAPP @t181 @t444))))) % 65.97/66.15 (define @t546 () (tptp.c_Wellfounded_Oacyclic @t37 @t159)) % 65.97/66.15 (define @t547 () (or @t101 @t122)) % 65.97/66.15 (define @t548 () (tptp.c_Product__Type_OSigma @t37 @t37 @t41 @t215)) % 65.97/66.15 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t159 @t548)) % 65.97/66.15 (define @t550 () (@list @t159 @t157 @t37)) % 65.97/66.15 (define @t551 () (tptp.c_Relation_Orel__comp @t37 @t50 @t230 @t159 @t157)) % 65.97/66.15 (define @t552 () (tptp.c_Product__Type_OPair @t37 @t230)) % 65.97/66.15 (define @t553 () (tptp.tc_prod @t37 @t230)) % 65.97/66.15 (define @t554 () (tptp.c_member @t553)) % 65.97/66.15 (define @t555 () (tptp.c_Product__Type_OPair @t50 @t230)) % 65.97/66.15 (define @t556 () (tptp.tc_prod @t50 @t230)) % 65.97/66.15 (define @t557 () (tptp.c_member @t556)) % 65.97/66.15 (define @t558 () (tptp.tc_fun @t553 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t559 () (tptp.tc_fun @t556 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t560 () (tptp.c_Product__Type_OSigma @t37 @t50 @t41 @t212)) % 65.97/66.15 (define @t561 () (@var "V_s_H_2" $$unsorted)) % 65.97/66.15 (define @t562 () (@var "V_r_H_2" $$unsorted)) % 65.97/66.15 (define @t563 () (@list @t48 @t50 @t37)) % 65.97/66.15 (define @t564 () (tptp.c_Relation_Orel__comp @t37 @t37 @t37 @t273 @t159)) % 65.97/66.15 (define @t565 () (tptp.c_Relation_Orel__comp @t37 @t37 @t37 @t159 @t273)) % 65.97/66.15 (define @t566 () (@list @t41 @t159 @t37)) % 65.97/66.15 (define @t567 () (forall @t8 (=> @t223 @t182))) % 65.97/66.15 (define @t568 () (tptp.c_Product__Type_OSigma @t37 @t50 @t41 @t35)) % 65.97/66.15 (define @t569 () (tptp.hBOOL (tptp.hAPP @t345 @t568))) % 65.97/66.15 (define @t570 () (tptp.hBOOL (tptp.hAPP @t360 (tptp.hAPP @t35 @t84)))) % 65.97/66.15 (define @t571 () (tptp.c_COMBK @t116 @t50 @t229)) % 65.97/66.15 (define @t572 () (tptp.c_Product__Type_OSigma @t50 @t37 @t35 @t571)) % 65.97/66.15 (define @t573 () (tptp.c_Product__Type_OSigma @t50 @t37 @t41 @t571)) % 65.97/66.15 (define @t574 () (tptp.hBOOL (tptp.hAPP @t127 @t229))) % 65.97/66.15 (define @t575 () (@list @t35 @t41 @t50 @t229 @t64 @t37)) % 65.97/66.15 (define @t576 () (@list @t35 @t41 @t83 @t84 @t50 @t37)) % 65.97/66.15 (define @t577 () (@var "B_x1" $$unsorted)) % 65.97/66.15 (define @t578 () (@var "V_b_H" $$unsorted)) % 65.97/66.15 (define @t579 () (@var "V_a_H" $$unsorted)) % 65.97/66.15 (define @t580 () (@var "V_J_2" $$unsorted)) % 65.97/66.15 (define @t581 () (tptp.c_Product__Type_OSigma @t37 @t50 @t580 @t229)) % 65.97/66.15 (define @t582 () (@var "V_I_2" $$unsorted)) % 65.97/66.15 (define @t583 () (tptp.c_Product__Type_OSigma @t37 @t50 @t582 @t229)) % 65.97/66.15 (define @t584 () (@list @t229 @t580 @t582 @t50 @t37)) % 65.97/66.15 (define @t585 () (tptp.c_COMBK @t57 @t37 @t229)) % 65.97/66.15 (define @t586 () (tptp.c_Product__Type_OSigma @t37 @t50 @t35 @t585)) % 65.97/66.15 (define @t587 () (tptp.c_Product__Type_OSigma @t37 @t50 @t41 @t585)) % 65.97/66.15 (define @t588 () (@list @t229 @t35 @t41 @t50 @t37)) % 65.97/66.15 (define @t589 () (tptp.c_Product__Type_OSigma @t37 @t50 @t582 @t35)) % 65.97/66.15 (define @t590 () (tptp.c_Product__Type_OSigma @t37 @t50 @t582 @t41)) % 65.97/66.15 (define @t591 () (tptp.tc_fun @t57 @t57)) % 65.97/66.15 (define @t592 () (tptp.c_COMBS @t37 @t57 @t57)) % 65.97/66.15 (define @t593 () (@list @t35 @t41 @t582 @t50 @t37)) % 65.97/66.15 (define @t594 () (@var "V_f1_2" $$unsorted)) % 65.97/66.15 (define @t595 () (tptp.hAPP (tptp.hAPP @t555 @t84) @t83)) % 65.97/66.15 (define @t596 () (tptp.tc_fun @t559 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t597 () (tptp.tc_fun @t230 @t596)) % 65.97/66.15 (define @t598 () (tptp.c_Predicate_Opred__comp @t37 @t50 @t230 @t159 @t157)) % 65.97/66.15 (define @t599 () (tptp.tc_prod @t230 @t50)) % 65.97/66.15 (define @t600 () (@var "V_xz_2" $$unsorted)) % 65.97/66.15 (define @t601 () (tptp.c_Relation_OField @t37 @t159)) % 65.97/66.15 (define @t602 () (tptp.hBOOL (tptp.c_Product__Type_Ocurry @t37 @t50 tptp.tc_HOL_Obool @t2 @t84 @t83))) % 65.97/66.15 (define @t603 () (tptp.hBOOL (tptp.hAPP @t2 @t166))) % 65.97/66.15 (define @t604 () (tptp.c_Set_Oinsert @t37 @t83 @t35)) % 65.97/66.15 (define @t605 () (tptp.hBOOL (tptp.hAPP @t121 @t604))) % 65.97/66.15 (define @t606 () (tptp.hBOOL (tptp.hAPP @t121 @t35))) % 65.97/66.15 (define @t607 () (@list @t83 @t35 @t84 @t37)) % 65.97/66.15 (define @t608 () (tptp.hBOOL (tptp.hAPP @t121 (tptp.c_Set_Oinsert @t37 @t83 @t41)))) % 65.97/66.15 (define @t609 () (@list @t41 @t83 @t84 @t37)) % 65.97/66.15 (define @t610 () (tptp.c_Set_Oinsert @t37 @t84 @t41)) % 65.97/66.15 (define @t611 () (@list @t41 @t84 @t37)) % 65.97/66.15 (define @t612 () (tptp.c_Set_Oinsert @t37 @t64 @t35)) % 65.97/66.15 (define @t613 () (tptp.c_Set_Oinsert @t37 @t64 @t41)) % 65.97/66.15 (define @t614 () (tptp.c_Set_Oinsert @t37 @t84 @t35)) % 65.97/66.15 (define @t615 () (tptp.c_Set_Oinsert @t37 @t84 @t375)) % 65.97/66.15 (define @t616 () (@list @t35 @t41 @t84 @t37)) % 65.97/66.15 (define @t617 () (tptp.c_Set_Oinsert @t37 @t63 @t41)) % 65.97/66.15 (define @t618 () (tptp.hAPP (tptp.hAPP @t373 @t614) @t229)) % 65.97/66.15 (define @t619 () (tptp.hBOOL (tptp.hAPP @t121 @t229))) % 65.97/66.15 (define @t620 () (=> @t619 (= @t618 (tptp.c_Set_Oinsert @t37 @t84 @t381)))) % 65.97/66.15 (define @t621 () (@list @t35 @t229 @t84 @t37)) % 65.97/66.15 (define @t622 () (tptp.hAPP @t374 @t614)) % 65.97/66.15 (define @t623 () (=> @t122 (= @t622 @t615))) % 65.97/66.15 (define @t624 () (=> (not @t619) (= @t618 @t381))) % 65.97/66.15 (define @t625 () (not @t122)) % 65.97/66.15 (define @t626 () (=> @t625 (= @t622 @t375))) % 65.97/66.15 (define @t627 () (tptp.c_Relation_OField @t37 @t157)) % 65.97/66.15 (define @t628 () (tptp.c_member @t394)) % 65.97/66.15 (define @t629 () (tptp.c_COMBK @t57 @t37 (tptp.c_Set_Oinsert @t50 @t83 @t35))) % 65.97/66.15 (define @t630 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t54)) % 65.97/66.15 (define @t631 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t116)) % 65.97/66.15 (define @t632 () (tptp.hAPP @t631 @t41)) % 65.97/66.15 (define @t633 () (tptp.hAPP @t632 @t35)) % 65.97/66.15 (define @t634 () (tptp.hBOOL (tptp.hAPP @t633 @t64))) % 65.97/66.15 (define @t635 () (tptp.hBOOL (tptp.hAPP @t39 @t633))) % 65.97/66.15 (define @t636 () (@list @t41 @t35 @t36 @t37)) % 65.97/66.15 (define @t637 () (tptp.hAPP @t631 @t35)) % 65.97/66.15 (define @t638 () (tptp.hAPP @t637 @t229)) % 65.97/66.15 (define @t639 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t259)) % 65.97/66.15 (define @t640 () (tptp.hAPP @t639 @t159)) % 65.97/66.15 (define @t641 () (tptp.hAPP @t640 @t157)) % 65.97/66.15 (define @t642 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t37)) % 65.97/66.15 (define @t643 () (tptp.hAPP @t642 @t405)) % 65.97/66.15 (define @t644 () (tptp.hAPP @t643 @t402)) % 65.97/66.15 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t644)) % 65.97/66.15 (define @t646 () (tptp.class_Lattices_Osemilattice__sup @t37)) % 65.97/66.15 (define @t647 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t402 @t644)) % 65.97/66.15 (define @t648 () (tptp.hAPP (tptp.hAPP @t642 @t64) @t63)) % 65.97/66.15 (define @t649 () (tptp.hAPP @t642 @t415)) % 65.97/66.15 (define @t650 () (tptp.hAPP @t649 @t413)) % 65.97/66.15 (define @t651 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t650)) % 65.97/66.15 (define @t652 () (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t650 @t405)) % 65.97/66.15 (define @t653 () (tptp.hAPP @t642 @t402)) % 65.97/66.15 (define @t654 () (tptp.hAPP @t653 @t401)) % 65.97/66.15 (define @t655 () (tptp.hAPP @t631 @t229)) % 65.97/66.15 (define @t656 () (= @t633 @t35)) % 65.97/66.15 (define @t657 () (= (tptp.hAPP @t643 @t405) @t405)) % 65.97/66.15 (define @t658 () (tptp.hAPP (tptp.hAPP @t642 @t408) @t420)) % 65.97/66.15 (define @t659 () (tptp.hAPP @t406 @t654)) % 65.97/66.15 (define @t660 () (tptp.class_Lattices_Odistrib__lattice @t37)) % 65.97/66.15 (define @t661 () (tptp.hAPP @t643 @t401)) % 65.97/66.15 (define @t662 () (tptp.hAPP (tptp.hAPP @t393 @t644) @t661)) % 65.97/66.15 (define @t663 () (tptp.hAPP @t643 @t404)) % 65.97/66.15 (define @t664 () (@list @t405 @t401 @t402 @t37)) % 65.97/66.15 (define @t665 () (tptp.hAPP @t653 @t405)) % 65.97/66.15 (define @t666 () (tptp.hAPP @t643 @t654)) % 65.97/66.15 (define @t667 () (= (tptp.hAPP (tptp.hAPP @t642 @t644) @t401) @t666)) % 65.97/66.15 (define @t668 () (tptp.hAPP @t642 @t413)) % 65.97/66.15 (define @t669 () (tptp.hAPP @t649 (tptp.hAPP @t668 @t412))) % 65.97/66.15 (define @t670 () (= @t666 (tptp.hAPP @t653 @t661))) % 65.97/66.15 (define @t671 () (= (tptp.hAPP @t643 @t644) @t644)) % 65.97/66.15 (define @t672 () (= @t644 @t665)) % 65.97/66.15 (define @t673 () (tptp.hBOOL (tptp.hAPP @t82 @t4))) % 65.97/66.15 (define @t674 () (tptp.hBOOL (tptp.hAPP @t222 @t35))) % 65.97/66.15 (define @t675 () (tptp.hBOOL (tptp.hAPP @t222 @t633))) % 65.97/66.15 (define @t676 () (@list @t82 @t35 @t41 @t37)) % 65.97/66.15 (define @t677 () (tptp.hAPP @t632 @t638)) % 65.97/66.15 (define @t678 () (tptp.hAPP @t632 @t229)) % 65.97/66.15 (define @t679 () (tptp.hAPP @t637 @t41)) % 65.97/66.15 (define @t680 () (tptp.hAPP @t639 @t48)) % 65.97/66.15 (define @t681 () (tptp.c_Transitive__Closure_Ortrancl @t37 (tptp.hAPP @t680 @t47))) % 65.97/66.15 (define @t682 () (tptp.hAPP @t639 @t309)) % 65.97/66.15 (define @t683 () (tptp.hAPP @t682 @t512)) % 65.97/66.15 (define @t684 () (tptp.hAPP @t631 @t375)) % 65.97/66.15 (define @t685 () (tptp.hAPP @t374 @t638)) % 65.97/66.15 (define @t686 () (tptp.hAPP @t373 @t633)) % 65.97/66.15 (define @t687 () (tptp.hAPP @t506 @t41)) % 65.97/66.15 (define @t688 () (@list @t41 @t229 @t35 @t37)) % 65.97/66.15 (define @t689 () (tptp.hAPP @t655 @t41)) % 65.97/66.15 (define @t690 () (tptp.tc_fun @t599 tptp.tc_HOL_Obool)) % 65.97/66.15 (define @t691 () (tptp.hAPP @t163 @t64)) % 65.97/66.15 (define @t692 () (tptp.c_Orderings_Obot__class_Obot @t116)) % 65.97/66.15 (define @t693 () (tptp.c_Set_Oinsert @t37 @t83 @t692)) % 65.97/66.15 (define @t694 () (tptp.c_Set_Oinsert @t37 @t84 @t693)) % 65.97/66.15 (define @t695 () (tptp.c_Transitive__Closure_Ortrancl @t37 @t82)) % 65.97/66.15 (define @t696 () (@var "V_d_2" $$unsorted)) % 65.97/66.15 (define @t697 () (tptp.c_Set_Oinsert @t37 @t84 @t692)) % 65.97/66.15 (define @t698 () (tptp.c_Orderings_Obot__class_Obot @t363)) % 65.97/66.15 (define @t699 () (tptp.c_Set_Oinsert @t206 (tptp.c_COMBK @t50 @t37 @t266) @t698)) % 65.97/66.15 (define @t700 () (@list @t50 @t37)) % 65.97/66.15 (define @t701 () (tptp.c_Orderings_Obot__class_Obot @t37)) % 65.97/66.15 (define @t702 () (tptp.class_Lattices_Obounded__lattice__bot @t37)) % 65.97/66.15 (define @t703 () (= @t41 @t692)) % 65.97/66.15 (define @t704 () (@list @t35 @t37)) % 65.97/66.15 (define @t705 () (tptp.c_Lattices_Osemilattice__sup__class_Osup @t517)) % 65.97/66.15 (define @t706 () (tptp.hAPP @t705 @t48)) % 65.97/66.15 (define @t707 () (= @t83 @t84)) % 65.97/66.15 (define @t708 () (tptp.hBOOL (tptp.hAPP @t123 @t697))) % 65.97/66.15 (define @t709 () (@list @t84 @t83 @t37)) % 65.97/66.15 (define @t710 () (tptp.c_Orderings_Obot__class_Obot @t54)) % 65.97/66.15 (define @t711 () (@list @t48 @t50 @t230 @t37)) % 65.97/66.15 (define @t712 () (tptp.class_Orderings_Obot @t37)) % 65.97/66.15 (define @t713 () (tptp.c_Orderings_Obot__class_Obot @t259)) % 65.97/66.15 (define @t714 () (tptp.c_Orderings_Obot__class_Obot @t448)) % 65.97/66.15 (define @t715 () (tptp.c_Orderings_Obot__class_Obot @t57)) % 65.97/66.15 (define @t716 () (@var "T_1" $$unsorted)) % 65.97/66.15 (define @t717 () (@var "T_2" $$unsorted)) % 65.97/66.15 (define @t718 () (tptp.tc_fun @t717 @t716)) % 65.97/66.15 (define @t719 () (tptp.class_Lattices_Obounded__lattice @t716)) % 65.97/66.15 (define @t720 () (@list @t717 @t716)) % 65.97/66.15 (define @t721 () (tptp.class_Lattices_Olattice @t716)) % 65.97/66.15 (define @t722 () (@var "V_P" $$unsorted)) % 65.97/66.15 (define @t723 () (@var "V_Q" $$unsorted)) % 65.97/66.15 (define @t724 () (tptp.hAPP @t464 @t48)) % 65.97/66.15 (define @t725 () (forall (@list @t48 @t464 @t82 @t230 @t37 @t50) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t50 @t37 @t230 @t82) @t464) @t48) (tptp.hAPP @t82 @t724)))) % 65.97/66.15 (define @t726 () (tptp.hAPP @t82 @t48)) % 65.97/66.15 (define @t727 () (@list @t48 @t464 @t82 @t37 @t230 @t50)) % 65.97/66.15 (define @t728 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal @t64) @t63))) % 65.97/66.15 (define @t729 () (@list @t63 @t64)) % 65.97/66.15 (define @t730 () (not (tptp.hBOOL @t82))) % 65.97/66.15 (define @t731 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t82))) % 65.97/66.15 (define @t732 () (@list @t82)) % 65.97/66.15 (define @t733 () (tptp.hBOOL (tptp.hAPP @t18 (tptp.hAPP tptp.v_F @t33)))) % 65.97/66.15 (define @t734 () (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP tptp.v_F tptp.v_P____)))) % 65.97/66.15 (define @t735 () (= @t734 @t733)) % 65.97/66.15 (define @t736 () (not @t735)) % 65.97/66.15 (define @t737 () (not @t89)) % 65.97/66.15 (define @t738 () (not @t91)) % 65.97/66.15 (define @t739 () (not @t93)) % 65.97/66.15 (define @t740 () (= @t79 @t83)) % 65.97/66.15 (define @t741 () (= @t78 @t84)) % 65.97/66.15 (define @t742 () (= @t78 @t79)) % 65.97/66.15 (define @t743 () (or @t707 @t742 @t741 @t740 @t739 @t738 @t737 @t88)) % 65.97/66.15 (define @t744 () (or @t742 @t741 @t740 @t739 @t738 @t737 @t88)) % 65.97/66.15 (define @t745 () (or @t741 @t740 @t739 @t738 @t737 @t88)) % 65.97/66.15 (define @t746 () (or @t740 @t739 @t738 @t737 @t88)) % 65.97/66.15 (define @t747 () (or @t739 @t738 @t737 @t88)) % 65.97/66.15 (define @t748 () (or @t738 @t737 @t88)) % 65.97/66.15 (define @t749 () (not @t740)) % 65.97/66.15 (define @t750 () (not @t749)) % 65.97/66.15 (define @t751 () (=> @t749 @t94)) % 65.97/66.15 (define @t752 () (not @t741)) % 65.97/66.15 (define @t753 () (not @t752)) % 65.97/66.15 (define @t754 () (=> @t752 @t751)) % 65.97/66.15 (define @t755 () (not @t742)) % 65.97/66.15 (define @t756 () (not @t755)) % 65.97/66.15 (define @t757 () (=> @t755 @t754)) % 65.97/66.15 (define @t758 () (not @t707)) % 65.97/66.15 (define @t759 () (not @t758)) % 65.97/66.15 (define @t760 () (forall @t21 (= @t20 (tptp.hBOOL (tptp.hAPP @t18 (tptp.hAPP @t33 @t12)))))) % 65.97/66.15 (define @t761 () (not @t760)) % 65.97/66.15 (define @t762 () (not @t76)) % 65.97/66.15 (define @t763 () (not @t25)) % 65.97/66.15 (define @t764 () (= tptp.v_b____ tptp.v_a____)) % 65.97/66.15 (define @t765 () (= tptp.v_c____ tptp.v_a____)) % 65.97/66.15 (define @t766 () (or @t764 @t765 @t765 @t9 @t763 @t762 @t761 @t735)) % 65.97/66.15 (define @t767 () (forall @t104 @t743)) % 65.97/66.15 (define @t768 () (@list @t33 tptp.v_P____ tptp.v_c____ tptp.v_a____ tptp.v_b____ tptp.v_a____)) % 65.97/66.15 (define @t769 () (or @t764 @t11 @t11 @t764 @t763 @t762 @t761 @t735)) % 65.97/66.15 (define @t770 () (@list false)) % 65.97/66.15 (define @t771 () (@quantifiers_skolemize @t760 0)) % 65.97/66.15 (define @t772 () (tptp.hAPP @t33 @t771)) % 65.97/66.15 (define @t773 () (tptp.hBOOL (tptp.hAPP @t18 @t772))) % 65.97/66.15 (define @t774 () (tptp.hAPP tptp.v_P____ @t771)) % 65.97/66.15 (define @t775 () (tptp.hBOOL (tptp.hAPP @t19 @t774))) % 65.97/66.15 (define @t776 () (= @t775 @t773)) % 65.97/66.15 (define @t777 () (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t774)) % 65.97/66.15 (define @t778 () (tptp.hAPP @t777 tptp.v_c____)) % 65.97/66.15 (define @t779 () (tptp.hAPP @t778 tptp.v_b____)) % 65.97/66.15 (define @t780 () (tptp.hAPP @t18 @t779)) % 65.97/66.15 (define @t781 () (tptp.hBOOL @t780)) % 65.97/66.15 (define @t782 () (= @t775 @t781)) % 65.97/66.15 (define @t783 () (not @t782)) % 65.97/66.15 (define @t784 () (not @t775)) % 65.97/66.15 (define @t785 () (tptp.hAPP @t29 @t771)) % 65.97/66.15 (define @t786 () (= @t785 @t777)) % 65.97/66.15 (define @t787 () (= @t777 @t785)) % 65.97/66.15 (define @t788 () (not @t781)) % 65.97/66.15 (define @t789 () (not @t787)) % 65.97/66.15 (define @t790 () (tptp.hAPP @t31 @t771)) % 65.97/66.15 (define @t791 () (= @t790 (tptp.hAPP @t785 tptp.v_c____))) % 65.97/66.15 (define @t792 () (not @t791)) % 65.97/66.15 (define @t793 () (= @t772 (tptp.hAPP @t790 tptp.v_b____))) % 65.97/66.15 (define @t794 () (not @t793)) % 65.97/66.15 (define @t795 () (not @t773)) % 65.97/66.15 (define @t796 () (and @t795 @t793 @t791 @t787)) % 65.97/66.15 (define @t797 () (and @t773 @t793 @t791 @t787)) % 65.97/66.15 (define @t798 () (not @t776)) % 65.97/66.15 (define @t799 () (not @t87)) % 65.97/66.15 (define @t800 () (or @t707 @t742 @t741 @t740 @t739 @t738 @t737 @t799 @t81)) % 65.97/66.15 (define @t801 () (or @t742 @t741 @t740 @t739 @t738 @t737 @t799 @t81)) % 65.97/66.15 (define @t802 () (or @t741 @t740 @t739 @t738 @t737 @t799 @t81)) % 65.97/66.15 (define @t803 () (or @t740 @t739 @t738 @t737 @t799 @t81)) % 65.97/66.15 (define @t804 () (or @t739 @t738 @t737 @t799 @t81)) % 65.97/66.15 (define @t805 () (or @t738 @t737 @t799 @t81)) % 65.97/66.15 (define @t806 () (or @t737 @t799 @t81)) % 65.97/66.15 (define @t807 () (=> @t749 @t137)) % 65.97/66.15 (define @t808 () (=> @t752 @t807)) % 65.97/66.15 (define @t809 () (=> @t755 @t808)) % 65.97/66.15 (define @t810 () (not @t734)) % 65.97/66.15 (define @t811 () (or @t764 @t765 @t765 @t9 @t763 @t762 @t761 @t810 @t733)) % 65.97/66.15 (define @t812 () (forall @t104 @t800)) % 65.97/66.15 (define @t813 () (or @t764 @t11 @t11 @t764 @t763 @t762 @t761 @t810 @t733)) % 65.97/66.15 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t8 @t7) @t3))) % 65.97/66.15 (assume @p2 (tptp.c_Arrow__Order__Mirabelle_OIIA tptp.v_F)) % 65.97/66.15 (assume @p3 (tptp.c_Arrow__Order__Mirabelle_Ounanimity tptp.v_F)) % 65.97/66.15 (assume @p4 @t10) % 65.97/66.15 (assume @p5 (and @t10 (not @t11) (not (= tptp.v_b____ tptp.v_c____)))) % 65.97/66.15 (assume @p6 (forall @t21 (= @t20 (tptp.hBOOL (tptp.hAPP @t18 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Arrow__Order__Mirabelle_Obelow @t13) tptp.v_c____) tptp.v_b____)))))) % 65.97/66.15 (assume @p7 (forall @t21 (= @t20 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.hAPP (tptp.hAPP @t14 tptp.v_b____) tptp.v_a____)) (tptp.hAPP tptp.v_P_H____ @t12)))))) % 65.97/66.15 (assume @p8 @t25) % 65.97/66.15 (assume @p9 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t34) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.15 (assume @p10 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP (tptp.hAPP @t32 (tptp.hAPP (tptp.hAPP @t30 (tptp.hAPP @t28 @t34)) tptp.v_a____)) tptp.v_c____)) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.15 (assume @p11 (forall (@list @t36 @t37 @t35 @t41) (=> @t46 (=> @t45 (not @t43))))) % 65.97/66.15 (assume @p12 (forall @t61 (= (= @t60 @t59) @t49))) % 65.97/66.15 (assume @p13 (forall @t75 (= (tptp.hBOOL (tptp.hAPP @t66 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t62 @t68))) (and @t74 (=> @t69 @t72) (=> @t70 @t67))))) % 65.97/66.15 (assume @p14 (forall @t75 (= (tptp.hBOOL (tptp.hAPP @t66 (tptp.c_Arrow__Order__Mirabelle_Omktop @t62 @t68))) (and @t70 (=> @t73 @t72) (=> @t74 @t67))))) % 65.97/66.15 (assume @p15 @t76) % 65.97/66.15 (assume @p16 @t105) % 65.97/66.15 (assume @p17 (forall (@list @t63 @t64 @t48 @t50 @t37) (= (tptp.c_FunDef_Oin__rel @t37 @t50 @t48 @t64 @t63) (tptp.hBOOL (tptp.hAPP @t108 @t48))))) % 65.97/66.15 (assume @p18 (forall (@list @t37 @t48 @t63 @t109 @t50 @t64 @t82) (=> @t115 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t113 (tptp.hAPP (tptp.hAPP @t112 @t109) @t63)) (tptp.hAPP @t48 @t64))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t110 (tptp.hAPP @t106 @t109)) @t107)) (tptp.c_Recdef_Osame__fst @t37 @t50 @t82 @t48))))))) % 65.97/66.15 (assume @p19 (forall @t120 (= (= @t119 @t118) @t49))) % 65.97/66.15 (assume @p20 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 tptp.v_P_H____) tptp.c_Arrow__Order__Mirabelle_OProf))) % 65.97/66.15 (assume @p21 (forall @t124 (=> @t101 (=> (tptp.hBOOL (tptp.hAPP @t123 @t41)) @t122)))) % 65.97/66.15 (assume @p22 (forall (@list @t41 @t37 @t63 @t64) (=> @t71 (= @t128 @t126)))) % 65.97/66.15 (assume @p23 (forall (@list @t64 @t37 @t35 @t41) (=> @t46 (= @t128 @t129)))) % 65.97/66.15 (assume @p24 (forall @t130 (= (tptp.hBOOL (tptp.hAPP @t127 (tptp.hAPP tptp.c_fequal @t63))) @t71))) % 65.97/66.15 (assume @p25 (forall @t133 (= @t128 @t132))) % 65.97/66.15 (assume @p26 @t142) % 65.97/66.15 (assume @p27 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t144 tptp.v_F) @t143))) % 65.97/66.15 (assume @p28 (forall @t156 (= (tptp.c_Arrow__Order__Mirabelle_OIIA @t146) (forall @t8 (=> @t155 (forall @t154 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 @t145) tptp.c_Arrow__Order__Mirabelle_OProf)) (forall @t153 (=> (forall @t21 (= @t152 (tptp.hBOOL (tptp.hAPP @t149 (tptp.hAPP @t145 @t12))))) (= @t151 (tptp.hBOOL (tptp.hAPP @t149 (tptp.hAPP @t146 @t145))))))))))))) % 65.97/66.15 (assume @p29 (forall @t156 (= (tptp.c_Arrow__Order__Mirabelle_Ounanimity @t146) (forall @t8 (=> @t155 (forall @t153 (=> (forall @t21 @t152) @t151))))))) % 65.97/66.15 (assume @p30 (forall (@list @t157 @t159 @t78 @t79 @t83 @t84 @t50 @t37) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t110 @t166) @t164)) (tptp.c_Wellfounded_Olex__prod @t37 @t50 @t159 @t157))) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t161 @t79)) @t159)) (and @t158 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t113 (tptp.hAPP (tptp.hAPP @t112 @t83) @t78)) @t157))))))) % 65.97/66.15 (assume @p31 (forall @t174 (=> @t102 (=> @t173 (= (tptp.hBOOL (tptp.hAPP @t66 (tptp.hAPP (tptp.hAPP @t171 @t84) @t83))) (and @t72 (=> @t170 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.hAPP @t65 @t83)) @t62))) (=> (not @t170) (and (=> @t167 (or @t169 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.hAPP @t168 @t63)) @t62)))) (=> (not @t167) @t67))))))))) % 65.97/66.15 (assume @p32 (forall @t178 (= @t177 (forall @t8 (=> @t155 (= @t150 @t176)))))) % 65.97/66.15 (assume @p33 (forall (@list @t62) (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t24 (tptp.c_COMBK @t22 tptp.tc_Arrow__Order__Mirabelle_Oindi @t62)) tptp.c_Arrow__Order__Mirabelle_OProf))))) % 65.97/66.15 (assume @p34 (forall @t183 (= (tptp.c_Nitpick_Orefl_H @t37 @t159) (forall @t8 @t182)))) % 65.97/66.15 (assume @p35 (forall @t196 (= (tptp.c_Recdef_Owfrec__rel @t37 @t50 @t48 @t146 @t187 @t194) (exists @t195 (and (= @t194 @t192) @t190))))) % 65.97/66.15 (assume @p36 (forall (@list @t83 @t84 @t62) (=> @t173 (=> (tptp.hBOOL (tptp.hAPP @t86 @t62)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.hAPP @t168 @t84)) @t62))))))) % 65.97/66.15 (assume @p37 (forall @t197 (=> @t72 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t172 (tptp.hAPP (tptp.hAPP @t171 @t64) @t63)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 65.97/66.15 (assume @p38 (forall @t198 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t172 (tptp.c_Arrow__Order__Mirabelle_Omktop @t62 @t64)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 65.97/66.15 (assume @p39 (forall @t198 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t172 (tptp.c_Arrow__Order__Mirabelle_Omkbot @t62 @t64)) tptp.c_Arrow__Order__Mirabelle_OLin))))) % 65.97/66.15 (assume @p40 (forall (@list @t63 @t64 @t62) (=> @t173 (=> @t72 (= (not @t67) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.hAPP (tptp.hAPP @t14 @t63) @t64)) @t62))))))) % 65.97/66.15 (assume @p41 (forall @t210 (=> @t209 (=> (not @t204) @t199)))) % 65.97/66.15 (assume @p42 (forall @t174 (=> @t102 (=> @t173 (= (tptp.hBOOL (tptp.hAPP @t66 (tptp.c_Arrow__Order__Mirabelle_Oabove @t62 @t84 @t83))) (and @t72 (=> @t211 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.hAPP @t85 @t63)) @t62))) (=> (not @t211) (and (=> @t169 (or @t167 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t17 (tptp.hAPP @t65 @t84)) @t62)))) (=> (not @t169) @t67))))))))) % 65.97/66.15 (assume @p43 (forall @t178 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t144 @t146) @t143)) (=> (forall @t8 (=> @t155 (forall @t153 (=> (not (= @t148 @t147)) (=> (tptp.hBOOL (tptp.hAPP @t149 @t176)) @t151))))) @t177)))) % 65.97/66.15 (assume @p44 (forall @t210 (=> @t214 (=> @t128 (tptp.hBOOL (tptp.hAPP @t203 @t35)))))) % 65.97/66.15 (assume @p45 (forall @t210 (=> @t209 (=> @t128 @t204)))) % 65.97/66.15 (assume @p46 (forall @t218 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t217) @t216) (tptp.c_FuncSet_OPi @t37 @t37 @t41 @t215))))) % 65.97/66.15 (assume @p47 (forall @t197 (=> @t72 (=> @t173 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t172 (tptp.c_Arrow__Order__Mirabelle_Oabove @t62 @t64 @t63)) tptp.c_Arrow__Order__Mirabelle_OLin)))))) % 65.97/66.15 (assume @p48 (forall (@list @t83 @t84) (=> @t102 (exists @t8 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t172 @t4) tptp.c_Arrow__Order__Mirabelle_OLin)) (tptp.hBOOL (tptp.hAPP @t86 @t4))))))) % 65.97/66.15 (assume @p49 (forall @t196 (= (tptp.c_Recdef_Owfrec__rel @t37 @t50 @t48 @t146 @t187 @t193) (exists @t195 (and (= @t193 @t192) @t190))))) % 65.97/66.15 (assume @p50 (forall (@list @t1 @t146 @t50 @t48 @t64 @t37) (=> (forall @t189 (=> @t219 (tptp.c_Recdef_Owfrec__rel @t37 @t50 @t48 @t146 @t184 (tptp.hAPP @t1 @t184)))) (tptp.c_Recdef_Owfrec__rel @t37 @t50 @t48 @t146 @t64 (tptp.hAPP (tptp.hAPP @t146 @t1) @t64))))) % 65.97/66.15 (assume @p51 (forall @t225 (=> @t224 @t209))) % 65.97/66.15 (assume @p52 (forall @t225 (=> @t226 @t214))) % 65.97/66.15 (assume @p53 (forall (@list @t35 @t50 @t1 @t2 @t41 @t37) (=> (forall (@list @t228) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t38 @t228) @t41)) (= (tptp.hAPP @t2 @t228) (tptp.hAPP @t1 @t228)))) (= @t209 (tptp.hBOOL (tptp.hAPP @t227 @t205)))))) % 65.97/66.15 (assume @p54 (forall (@list @t229 @t1 @t230 @t35 @t41 @t2 @t50 @t37) (=> @t214 (=> @t235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t37 @t230)) @t233) (tptp.c_FuncSet_OPi @t37 @t230 @t41 @t232))))))) % 65.97/66.15 (assume @p55 (forall (@list @t238 @t236 @t237 @t229 @t1 @t230 @t35 @t41 @t2 @t50 @t37) (=> @t214 (=> @t235 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member (tptp.tc_fun @t230 @t237)) @t236) (tptp.c_FuncSet_OPi @t230 @t237 @t229 (tptp.c_COMBK (tptp.tc_fun @t237 tptp.tc_HOL_Obool) @t230 @t238)))) (= (tptp.c_FuncSet_Ocompose @t37 @t230 @t237 @t41 @t236 @t233) (tptp.c_FuncSet_Ocompose @t37 @t50 @t237 @t41 (tptp.c_FuncSet_Ocompose @t50 @t230 @t237 @t35 @t236 @t1) @t2))))))) % 65.97/66.15 (assume @p56 (forall (@list @t84 @t159 @t83 @t37) (=> @t244 (=> @t243 @t240)))) % 65.97/66.15 (assume @p57 (forall @t245 (= @t240 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t179 @t84)) @t159)) (tptp.hBOOL (tptp.hAPP @t222 @t239))))))) % 65.97/66.15 (assume @p58 (forall (@list @t2 @t50 @t159 @t84 @t64 @t37) (=> (tptp.hBOOL (tptp.hAPP @t249 @t159)) (= (tptp.hAPP (tptp.hAPP @t247 @t84) @t64) @t201)))) % 65.97/66.15 (assume @p59 (forall (@list @t2 @t1 @t50 @t230 @t41 @t64 @t37) (=> @t128 (= (tptp.hAPP @t250 @t64) (tptp.hAPP @t1 @t201))))) % 65.97/66.15 (assume @p60 (forall (@list @t50 @t84 @t64 @t37 @t251 @t252) (=> (tptp.hBOOL (tptp.hAPP @t249 @t252)) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t246 @t251) @t252) @t84) @t64) (tptp.hAPP @t251 @t64))))) % 65.97/66.15 (assume @p61 (forall (@list @t1 @t64 @t159 @t2 @t50 @t37) (= (= @t257 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t246 @t1) @t159) @t64)) (forall @t256 (=> @t255 (= (tptp.hAPP @t2 @t253) (tptp.hAPP @t1 @t253))))))) % 65.97/66.15 (assume @p62 (forall @t260 (tptp.c_Recdef_Oadm__wf @t37 @t50 @t48 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t206 @t217 @t206) (tptp.hAPP (tptp.c_COMBB @t258 (tptp.tc_fun @t217 @t206) @t206 (tptp.c_COMBS @t37 @t37 @t50)) (tptp.hAPP (tptp.c_COMBB @t258 @t258 @t206 (tptp.c_COMBB @t206 @t206 @t37 @t146)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t206 @t259 @t258) @t246) @t48)))) @t216)))) % 65.97/66.15 (assume @p63 (forall (@list @t64 @t159 @t37) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Wellfounded_Oaccp @t37 @t264) @t64)) @t261))) % 65.97/66.15 (assume @p64 (forall (@list @t159 @t64 @t37) (=> (forall @t256 (=> @t255 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t38 @t253) @t239)))) @t261))) % 65.97/66.15 (assume @p65 (forall (@list @t48 @t64 @t37) (=> (not (tptp.hBOOL (tptp.hAPP @t127 @t265))) (not (forall @t189 (=> @t219 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t38 @t184) @t265)))))))) % 65.97/66.15 (assume @p66 (forall (@list @t2 @t50 @t159 @t64 @t63 @t37) (and (=> @t270 (= @t267 @t271)) (=> (not @t270) (= @t267 @t266))))) % 65.97/66.15 (assume @p67 (forall (@list @t1 @t2 @t41 @t230 @t50 @t37) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t207 (tptp.c_FuncSet_Ocompose @t37 @t230 @t50 @t41 @t2 @t1)) @t272)))) % 65.97/66.15 (assume @p68 (forall (@list @t83 @t159 @t84 @t37) (=> @t240 (=> @t275 @t244)))) % 65.97/66.15 (assume @p69 (forall (@list @t159 @t84 @t83 @t37) (=> @t275 (=> @t240 @t244)))) % 65.97/66.15 (assume @p70 (forall (@list @t64 @t146 @t48 @t37 @t50) (= (tptp.c_Nitpick_Owf__wfrec_H @t50 @t37 @t48 @t146 @t64) (tptp.hAPP (tptp.hAPP @t146 (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Recdef_Ocut @t50 @t37) (tptp.c_Nitpick_Owf__wfrec @t50 @t37 @t48 @t146)) @t48) @t64)) @t64)))) % 65.97/66.15 (assume @p71 (forall @t280 (=> @t279 (=> @t278 @t277)))) % 65.97/66.15 (assume @p72 (forall @t281 (= @t277 (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t4) @t84)) (tptp.hBOOL (tptp.hAPP @t276 @t4))))))) % 65.97/66.15 (assume @p73 (forall (@list @t64 @t41 @t2 @t50 @t37) (=> @t283 (=> @t199 @t282)))) % 65.97/66.15 (assume @p74 (forall @t245 (tptp.hBOOL (tptp.hAPP @t284 @t273)))) % 65.97/66.15 (assume @p75 (forall @t288 (=> @t287 (tptp.hBOOL (tptp.hAPP @t286 @t273))))) % 65.97/66.15 (assume @p76 (forall @t295 (=> @t294 @t293))) % 65.97/66.15 (assume @p77 (forall @t295 (=> @t294 (=> @t296 @t290)))) % 65.97/66.15 (assume @p78 (forall @t295 (=> @t243 @t293))) % 65.97/66.15 (assume @p79 (forall @t297 (=> @t214 (=> @t283 (= (tptp.c_FuncSet_Ocompose @t37 @t50 @t50 @t41 (tptp.c_FuncSet_Orestrict @t50 @t50 (tptp.c_COMBI @t50) @t35) @t2) @t2))))) % 65.97/66.15 (assume @p80 (forall (@list @t35 @t41 @t1 @t50 @t37) (=> (tptp.hBOOL (tptp.hAPP @t227 @t213)) (=> @t298 (= (tptp.c_FuncSet_Ocompose @t37 @t37 @t50 @t41 @t1 (tptp.c_FuncSet_Orestrict @t37 @t37 @t216 @t41)) @t1))))) % 65.97/66.15 (assume @p81 (forall @t260 (= (tptp.c_Recdef_Oadm__wf @t37 @t50 @t48 @t146) (forall (@list @t251 @t185 @t4) (=> (forall @t189 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t188 @t4)) @t48)) (= (tptp.hAPP @t251 @t184) @t186))) (= (tptp.hAPP (tptp.hAPP @t146 @t251) @t4) (tptp.hAPP @t191 @t4))))))) % 65.97/66.15 (assume @p82 (forall (@list @t2 @t1 @t41 @t50 @t230 @t37) (= @t250 (tptp.c_FuncSet_Orestrict @t37 @t50 (tptp.hAPP (tptp.c_COMBB @t230 @t50 @t37 @t1) @t2) @t41)))) % 65.97/66.15 (assume @p83 (forall @t300 (=> @t283 (= @t299 @t2)))) % 65.97/66.15 (assume @p84 (forall @t300 (tptp.hBOOL (tptp.hAPP @t301 @t272)))) % 65.97/66.15 (assume @p85 (forall (@list @t2 @t50 @t41 @t64 @t37) (and (=> @t128 (= @t302 @t201)) (=> @t199 (= @t302 @t266))))) % 65.97/66.15 (assume @p86 (forall @t183 (= (tptp.c_Transitive__Closure_Ortrancl @t37 @t273) @t273))) % 65.97/66.15 (assume @p87 (forall @t225 (=> @t224 (tptp.hBOOL (tptp.hAPP @t301 @t205))))) % 65.97/66.15 (assume @p88 (forall @t225 (=> @t226 (tptp.hBOOL (tptp.hAPP @t301 @t213))))) % 65.97/66.15 (assume @p89 (forall @t308 (=> (tptp.c_Relation_Osingle__valued @t37 @t37 @t159) (=> @t307 (=> @t305 (or (tptp.hBOOL (tptp.hAPP @t303 @t273)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t160 @t68) @t63)) @t273)))))))) % 65.97/66.15 (assume @p90 (forall (@list @t63 @t48 @t64 @t37) (=> (not (tptp.hBOOL (tptp.hAPP @t127 (tptp.c_Relation_ODomain @t37 @t37 @t48)))) (= @t310 @t71)))) % 65.97/66.15 (assume @p91 (forall @t316 (=> @t315 (=> @t312 @t282)))) % 65.97/66.15 (assume @p92 (forall (@list @t159 @t318 @t319 @t323 @t324 @t50 @t37) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t326 @t320)) @t317)) (=> (not (= @t325 @t320)) (not (forall @t153 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t326 @t321)) @t159)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t322 @t320)) @t317)))))))))) % 65.97/66.15 (assume @p93 (forall @t342 (=> @t341 (=> @t339 (=> (forall (@list @t148 @t147 @t332 @t331) (=> @t338 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP (tptp.hAPP @t110 @t337) @t336)) @t317)) (=> @t333 @t330)))) @t329))))) % 65.97/66.15 (assume @p94 (forall @t342 (=> @t341 (=> @t329 (=> (forall @t153 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 (tptp.hAPP @t340 @t321)) @t317)) (forall (@list @t332 @t331) (=> @t338 (=> @t330 @t333))))) @t339))))) % 65.97/66.15 (assume @p95 (forall @t316 (=> @t315 (=> @t311 (tptp.hBOOL (tptp.hAPP @t203 @t313)))))) % 65.97/66.15 (assume @p96 (forall @t347 (=> @t346 @t344))) % 65.97/66.15 (assume @p97 (forall @t349 (= @t344 (exists @t256 @t348)))) % 65.97/66.15 (assume @p98 (forall (@list @t68 @t63 @t64 @t159 @t50 @t37) (=> @t350 (=> (tptp.hBOOL (tptp.hAPP @t108 @t159)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 (tptp.hAPP @t106 @t68)) @t159)) @t73))))) % 65.97/66.15 (assume @p99 (forall @t355 (= @t350 @t354))) % 65.97/66.15 (assume @p100 (forall @t357 (= (tptp.c_Predicate_ODomainP @t37 @t50 @t356 @t64) (tptp.hBOOL (tptp.hAPP @t127 @t343))))) % 65.97/66.15 (assume @p101 (forall (@list @t1 @t41 @t2 @t50 @t37) (=> @t283 (=> @t298 (=> (forall @t8 (=> @t223 @t7)) @t3))))) % 65.97/66.15 (assume @p102 (forall @t349 (=> @t344 (not (forall @t256 (not @t348)))))) % 65.97/66.15 (assume @p103 (forall @t358 (=> @t278 (tptp.c_Predicate_ODomainP @t37 @t50 @t159 @t84)))) % 65.97/66.15 (assume @p104 (forall @t183 (= (tptp.c_Relation_Oirrefl @t37 @t159) (forall @t8 (not @t182))))) % 65.97/66.15 (assume @p105 (forall @t347 (=> @t346 (tptp.hBOOL (tptp.hAPP @t360 @t359))))) % 65.97/66.15 (assume @p106 (forall @t362 (= (tptp.hBOOL (tptp.hAPP @t306 @t361)) (and @t71 @t128)))) % 65.97/66.15 (assume @p107 (forall @t124 (=> @t101 (=> @t122 (tptp.hBOOL (tptp.hAPP @t242 @t361)))))) % 65.97/66.15 (assume @p108 (forall @t355 (=> @t354 @t350))) % 65.97/66.15 (assume @p109 (forall (@list @t313 @t47 @t50 @t37) (= @t314 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t363) (tptp.c_FuncSet_OPi @t37 @t50 @t47 (tptp.c_COMBK @t57 @t37 @t313))) (tptp.c_FuncSet_Oextensional @t37 @t50 @t47))))) % 65.97/66.15 (assume @p110 (forall @t370 (=> @t294 (=> @t369 (=> (forall @t256 (=> @t368 (forall @t189 (=> @t367 (=> @t366 @t365))))) @t364))))) % 65.97/66.15 (assume @p111 (forall @t377 (=> @t376 (not (=> @t132 @t372))))) % 65.97/66.15 (assume @p112 (forall (@list @t37 @t35 @t64 @t41) (=> @t132 (=> @t371 @t376)))) % 65.97/66.15 (assume @p113 (forall @t379 (=> @t378 (not @t45)))) % 65.97/66.15 (assume @p114 (forall @t379 (=> @t42 (=> @t40 @t378)))) % 65.97/66.15 (assume @p115 (forall @t218 (= (tptp.c_Relation_ORange @t37 @t37 @t361) @t41))) % 65.97/66.15 (assume @p116 (forall @t377 (=> @t376 @t371))) % 65.97/66.15 (assume @p117 (forall @t377 (=> @t376 @t132))) % 65.97/66.15 (assume @p118 (forall @t383 (= (tptp.hAPP (tptp.hAPP @t373 @t375) @t229) @t382))) % 65.97/66.15 (assume @p119 (forall @t383 (= @t382 (tptp.hAPP @t380 @t384)))) % 65.97/66.15 (assume @p120 (forall @t385 (= (tptp.hAPP @t374 @t375) @t375))) % 65.97/66.15 (assume @p121 (forall @t385 (= @t375 @t386))) % 65.97/66.15 (assume @p122 (forall @t218 (= (tptp.hAPP @t374 @t41) @t41))) % 65.97/66.15 (assume @p123 (forall @t379 (=> @t378 @t40))) % 65.97/66.15 (assume @p124 (forall @t379 (=> @t378 @t42))) % 65.97/66.15 (assume @p125 (forall @t379 (= @t378 (and @t42 @t40)))) % 65.97/66.15 (assume @p126 (forall @t387 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t373 @t119) @t118) @t64)) (tptp.hBOOL (tptp.hAPP @t127 (tptp.hAPP (tptp.hAPP @t373 @t48) @t47)))))) % 65.97/66.15 (assume @p127 (forall @t218 (= (tptp.c_Relation_ODomain @t37 @t37 @t361) @t41))) % 65.97/66.15 (assume @p128 (forall @t218 (tptp.c_Relation_Osingle__valued @t37 @t37 @t361))) % 65.97/66.15 (assume @p129 (forall @t349 (= (tptp.hBOOL (tptp.hAPP @t121 @t391)) (exists @t256 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t390 (tptp.hAPP (tptp.hAPP @t388 @t253) @t84)) @t159)))))) % 65.97/66.15 (assume @p130 (forall @t357 (= (tptp.c_Predicate_ORangeP @t37 @t50 @t356 @t64) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 @t64) @t359))))) % 65.97/66.15 (assume @p131 (forall @t396 (=> @t395 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t394) @t2) @t1) @t64) (tptp.hAPP (tptp.hAPP @t393 @t201) @t392))))) % 65.97/66.15 (assume @p132 (forall (@list @t41 @t36 @t37) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 @t36) @t361)) (not (forall @t8 (=> @t223 (not (= @t36 @t180)))))))) % 65.97/66.15 (assume @p133 (forall (@list @t159 @t50 @t83 @t37) (=> (tptp.hBOOL (tptp.hAPP @t123 @t391)) (not (forall @t8 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t390 (tptp.hAPP (tptp.hAPP @t388 @t4) @t83)) @t159)))))))) % 65.97/66.15 (assume @p134 (forall @t397 (=> @t294 (=> @t102 (not (forall @t256 (=> @t368 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t254 @t83)) @t159)))))))))) % 65.97/66.15 (assume @p135 (forall (@list @t159 @t68 @t64 @t37) (=> @t305 (=> @t70 (not (forall @t256 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t248 @t253)) @t159)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t254 @t68)) @t273)))))))))) % 65.97/66.15 (assume @p136 (forall @t358 (=> @t278 (tptp.c_Predicate_ORangeP @t37 @t50 @t159 @t83)))) % 65.97/66.15 (assume @p137 (forall (@list @t193 @t159 @t50 @t37) (= (tptp.c_Predicate_ORangeP @t37 @t50 @t159 @t193) (exists (@list @t148) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t148) @t193)))))) % 65.97/66.15 (assume @p138 (forall (@list @t63 @t64 @t47 @t48 @t50 @t37) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.hAPP @t400 @t60) @t59) @t64) @t63)) (tptp.hBOOL (tptp.hAPP @t108 (tptp.hAPP (tptp.hAPP @t398 @t48) @t47)))))) % 65.97/66.15 (assume @p139 (forall @t411 (=> @t410 @t409))) % 65.97/66.15 (assume @p140 (forall @t411 (=> @t395 @t409))) % 65.97/66.15 (assume @p141 (forall @t419 (=> @t410 (= (tptp.hAPP (tptp.hAPP @t393 @t418) @t412) @t417)))) % 65.97/66.15 (assume @p142 (forall @t411 (=> @t410 @t421))) % 65.97/66.15 (assume @p143 (forall @t411 (=> @t395 @t421))) % 65.97/66.15 (assume @p144 (forall @t422 (=> @t410 (= (tptp.hAPP @t414 (tptp.hAPP @t416 @t412)) @t417)))) % 65.97/66.15 (assume @p145 (forall @t424 (=> @t410 @t423))) % 65.97/66.15 (assume @p146 (forall @t424 (=> @t395 @t423))) % 65.97/66.15 (assume @p147 (forall @t425 (=> @t410 (= (tptp.hAPP @t416 @t418) @t418)))) % 65.97/66.15 (assume @p148 (forall @t424 (=> @t410 @t427))) % 65.97/66.15 (assume @p149 (forall @t424 (=> @t395 @t427))) % 65.97/66.15 (assume @p150 (forall @t425 (=> @t410 (= @t418 (tptp.hAPP @t414 @t415))))) % 65.97/66.15 (assume @p151 (forall @t429 (=> @t410 @t428))) % 65.97/66.15 (assume @p152 (forall @t430 (=> @t410 (= (tptp.hAPP @t416 @t415) @t415)))) % 65.97/66.15 (assume @p153 (forall @t370 (=> @t294 (=> @t364 (=> (forall (@list @t253 @t184) (=> @t367 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t188 @t83)) @t273)) (=> @t365 @t366)))) @t369))))) % 65.97/66.15 (assume @p154 (forall @t433 (= (tptp.c_Relation_Ototal__on @t37 @t41 @t159) (forall @t8 (=> @t223 (forall @t154 (=> (tptp.hBOOL (tptp.hAPP @t432 @t41)) (=> @t431 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t179 @t145)) @t159)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t160 @t145) @t4)) @t159))))))))))) % 65.97/66.15 (assume @p155 (forall (@list @t2 @t159 @t50 @t63 @t64 @t37) (= (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Relation_Oinv__image @t50 @t37 @t159 @t2))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t113 (tptp.hAPP (tptp.hAPP @t112 @t201) @t271)) @t159))))) % 65.97/66.15 (assume @p156 (forall (@list @t84 @t159 @t41 @t37) (=> @t434 (=> @t122 (tptp.hBOOL (tptp.hAPP @t284 @t159)))))) % 65.97/66.15 (assume @p157 (forall @t436 (=> @t434 (=> @t435 @t128)))) % 65.97/66.15 (assume @p158 (forall @t436 (=> @t434 (=> @t435 @t126)))) % 65.97/66.15 (assume @p159 (forall @t440 (=> @t439 (not (=> @t438 (not @t437)))))) % 65.97/66.15 (assume @p160 (forall (@list @t50 @t37 @t35 @t63 @t64 @t41) (=> @t438 (=> @t437 @t439)))) % 65.97/66.15 (assume @p161 (forall @t440 (=> @t439 @t437))) % 65.97/66.15 (assume @p162 (forall @t440 (=> @t439 @t438))) % 65.97/66.15 (assume @p163 (forall @t443 (=> @t434 (=> @t442 (tptp.c_Relation_Orefl__on @t37 @t375 (tptp.hAPP (tptp.hAPP @t441 @t159) @t157)))))) % 65.97/66.15 (assume @p164 (forall @t218 (tptp.c_Relation_Orefl__on @t37 @t41 @t361))) % 65.97/66.15 (assume @p165 (forall @t397 (=> @t445 @t294))) % 65.97/66.15 (assume @p166 (forall @t449 (tptp.c_Orderings_Oord__class_Oless__eq @t116 (tptp.c_Relation_ORange @t50 @t37 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t448) @t41) @t35)) (tptp.hAPP (tptp.hAPP @t373 @t447) @t446)))) % 65.97/66.15 (assume @p167 (forall @t449 (tptp.c_Orderings_Oord__class_Oless__eq @t116 (tptp.c_Relation_ODomain @t37 @t50 (tptp.hAPP (tptp.hAPP @t398 @t41) @t35)) (tptp.hAPP (tptp.hAPP @t373 @t451) @t450)))) % 65.97/66.15 (assume @p168 (forall (@list @t324 @t64 @t159 @t37) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp @t37 @t264) @t64) @t324)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t248 @t324)) @t273))))) % 65.97/66.15 (assume @p169 (forall @t429 (=> @t395 @t428))) % 65.97/66.15 (assume @p170 (forall @t453 (tptp.hBOOL (tptp.hAPP @t284 @t452)))) % 65.97/66.15 (assume @p171 (forall @t385 (=> @t455 (=> @t454 @t46)))) % 65.97/66.15 (assume @p172 (forall @t281 (tptp.hBOOL (tptp.hAPP @t457 @t84)))) % 65.97/66.15 (assume @p173 (forall (@list @t37 @t63 @t64 @t159) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t64) @t63)) @t459))) % 65.97/66.15 (assume @p174 (forall (@list @t36 @t35 @t41 @t37) (=> @t455 (=> @t42 @t40)))) % 65.97/66.15 (assume @p175 (forall @t397 (=> @t243 @t445))) % 65.97/66.15 (assume @p176 (forall @t462 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t460 @t461) (tptp.c_Orderings_Oord__class_Oless__eq @t116 (tptp.c_Wellfounded_Oacc @t37 @t461) (tptp.c_Wellfounded_Oacc @t37 @t460))))) % 65.97/66.15 (assume @p177 (forall @t218 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t41 @t41))) % 65.97/66.15 (assume @p178 (forall @t463 (= @t46 (and @t455 @t454)))) % 65.97/66.15 (assume @p179 (forall (@list @t464 @t37 @t64 @t82) (=> @t115 (=> @t467 @t466)))) % 65.97/66.15 (assume @p180 (forall @t463 (=> @t46 @t455))) % 65.97/66.15 (assume @p181 (forall @t463 (=> @t46 @t454))) % 65.97/66.15 (assume @p182 (forall (@list @t64 @t464 @t82 @t37) (=> @t467 (=> @t115 @t466)))) % 65.97/66.15 (assume @p183 (forall @t383 (=> @t455 (=> @t469 @t468)))) % 65.97/66.15 (assume @p184 (forall @t463 (=> @t46 (not (=> @t455 (not @t454)))))) % 65.97/66.15 (assume @p185 (forall (@list @t35 @t50 @t41 @t470 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t470 @t41) (tptp.c_Orderings_Oord__class_Oless__eq @t363 @t205 (tptp.c_FuncSet_OPi @t37 @t50 @t470 @t35))))) % 65.97/66.15 (assume @p186 (forall @t183 (= (tptp.c_Transitive__Closure_Ortranclp @t37 @t456) @t456))) % 65.97/66.15 (assume @p187 (forall (@list @t471 @t187 @t159 @t37) (= (tptp.hBOOL (tptp.hAPP @t472 @t471)) (or (= @t471 @t187) (exists @t473 (and (tptp.hBOOL (tptp.hAPP @t472 @t147)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t147) @t471)))))))) % 65.97/66.15 (assume @p188 (forall (@list @t36 @t37 @t83 @t84 @t159) (=> @t278 (=> (tptp.hBOOL (tptp.hAPP @t475 @t36)) @t474)))) % 65.97/66.15 (assume @p189 (forall (@list @t36 @t83 @t84 @t159 @t37) (=> (tptp.hBOOL (tptp.hAPP @t457 @t83)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t83) @t36)) @t474)))) % 65.97/66.15 (assume @p190 (forall @t308 (=> @t459 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t456 @t63) @t68)) (tptp.hBOOL (tptp.hAPP @t458 @t68)))))) % 65.97/66.15 (assume @p191 (forall (@list @t157 @t159 @t285 @t37) (=> @t477 (=> @t476 (tptp.hBOOL (tptp.hAPP @t286 (tptp.c_Transitive__Closure_Otrancl @t37 @t157))))))) % 65.97/66.15 (assume @p192 (forall @t479 (=> @t478 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t343 (tptp.c_Relation_ODomain @t37 @t50 @t157))))) % 65.97/66.15 (assume @p193 (forall @t288 (=> @t287 @t477))) % 65.97/66.15 (assume @p194 (forall @t377 (=> @t455 (=> @t128 @t129)))) % 65.97/66.15 (assume @p195 (forall @t480 (=> @t128 (=> @t455 @t129)))) % 65.97/66.15 (assume @p196 (forall @t424 (=> @t395 @t481))) % 65.97/66.15 (assume @p197 (forall @t424 (=> @t410 @t481))) % 65.97/66.15 (assume @p198 (forall @t424 (=> @t395 @t482))) % 65.97/66.15 (assume @p199 (forall @t424 (=> @t410 @t482))) % 65.97/66.15 (assume @p200 (forall @t130 (=> @t410 (= @t483 (= (tptp.hAPP (tptp.hAPP @t393 @t64) @t63) @t64))))) % 65.97/66.15 (assume @p201 (forall @t485 (=> @t410 (= (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t64 (tptp.hAPP (tptp.hAPP @t393 @t63) @t68)) (and @t483 @t484))))) % 65.97/66.15 (assume @p202 (forall @t488 (=> @t410 (=> @t487 @t486)))) % 65.97/66.15 (assume @p203 (forall (@list @t415 @t405 @t413 @t37) (=> @t410 (=> @t489 @t486)))) % 65.97/66.15 (assume @p204 (forall @t424 (=> @t410 (=> @t490 (= @t408 @t405))))) % 65.97/66.15 (assume @p205 (forall @t492 (=> @t410 (=> @t491 (= @t408 @t402))))) % 65.97/66.15 (assume @p206 (forall @t496 (=> @t410 (=> @t495 (=> @t494 @t493))))) % 65.97/66.15 (assume @p207 (forall @t411 (=> @t410 (=> @t490 (=> @t497 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t404)))))) % 65.97/66.15 (assume @p208 (forall @t501 (=> @t410 (=> @t500 (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t418 (tptp.hAPP (tptp.hAPP @t393 @t412) @t498))))))) % 65.97/66.15 (assume @p209 (forall @t496 (=> @t410 (=> @t493 (not (=> @t495 (not @t494))))))) % 65.97/66.15 (assume @p210 (forall @t502 (= (tptp.c_Transitive__Closure_Otrancl @t37 @t309) @t309))) % 65.97/66.15 (assume @p211 (forall @t502 (= (tptp.c_Transitive__Closure_Ortrancl @t37 @t503) @t309))) % 65.97/66.15 (assume @p212 (forall @t385 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t375 @t41))) % 65.97/66.15 (assume @p213 (forall @t385 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t375 @t35))) % 65.97/66.15 (assume @p214 (forall @t385 (=> @t455 (= @t375 @t41)))) % 65.97/66.15 (assume @p215 (forall @t504 (=> @t454 (= @t375 @t35)))) % 65.97/66.15 (assume @p216 (forall (@list @t35 @t41 @t229 @t37) (=> @t505 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t229 @t35) (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t229 @t375))))) % 65.97/66.15 (assume @p217 (forall @t508 (=> @t468 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t375 (tptp.hAPP @t506 @t238)))))) % 65.97/66.15 (assume @p218 (forall @t511 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t159 @t509) @t510))) % 65.97/66.15 (assume @p219 (forall @t120 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t48 @t47) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t47 @t309) (= @t512 @t309))))) % 65.97/66.15 (assume @p220 (forall @t511 (=> @t476 @t510))) % 65.97/66.15 (assume @p221 (forall @t183 (= (tptp.c_Relation_ODomain @t37 @t37 @t444) @t513))) % 65.97/66.15 (assume @p222 (forall @t183 (= (tptp.c_Relation_ORange @t37 @t37 @t444) @t514))) % 65.97/66.15 (assume @p223 (forall (@list @t83 @t84 @t159 @t37) (=> @t277 (=> @t515 @t279)))) % 65.97/66.15 (assume @p224 (forall @t280 (=> @t515 (=> @t277 @t279)))) % 65.97/66.15 (assume @p225 (forall @t479 (=> @t478 (=> (tptp.c_Relation_Osingle__valued @t37 @t50 @t157) @t350)))) % 65.97/66.15 (assume @p226 (forall @t120 (= (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t119 @t118) (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t48 @t47)))) % 65.97/66.15 (assume @p227 (forall @t516 (tptp.c_Relation_Osingle__valued @t37 @t37 @t452))) % 65.97/66.15 (assume @p228 (forall @t183 (= (tptp.c_Transitive__Closure_Ortranclp @t37 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t517) @t159) (tptp.hAPP (tptp.c_COMBB @t116 @t116 @t37 (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool @t37 tptp.c_fNot)) tptp.c_fequal))) @t456))) % 65.97/66.15 (assume @p229 (forall (@list @t36 @t48 @t83 @t84 @t37) (=> (tptp.hBOOL (tptp.hAPP @t242 @t48)) (=> (tptp.hBOOL (tptp.hAPP @t291 @t48)) (tptp.hBOOL (tptp.hAPP @t289 @t503)))))) % 65.97/66.15 (assume @p230 (forall @t295 (=> @t243 @t519))) % 65.97/66.15 (assume @p231 (forall @t295 (=> @t445 @t520))) % 65.97/66.15 (assume @p232 (forall @t295 (=> @t445 @t519))) % 65.97/66.15 (assume @p233 (forall @t297 (=> @t283 (=> @t455 (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_FuncSet_Oextensional @t37 @t50 @t35))))))) % 65.97/66.15 (assume @p234 (forall @t521 (= (tptp.hBOOL (tptp.hAPP @t242 @t452)) @t101))) % 65.97/66.15 (assume @p235 (forall @t523 (= @t310 (or @t71 (and @t72 @t522))))) % 65.97/66.15 (assume @p236 (forall @t295 (=> @t243 @t524))) % 65.97/66.15 (assume @p237 (forall (@list @t48 @t83 @t84 @t37) (=> (tptp.hBOOL (tptp.hAPP @t242 @t309)) (or @t101 (and @t102 (tptp.hBOOL (tptp.hAPP @t242 @t503))))))) % 65.97/66.15 (assume @p238 (forall @t295 (=> @t294 @t520))) % 65.97/66.15 (assume @p239 (forall @t295 (=> @t445 @t524))) % 65.97/66.15 (assume @p240 (forall (@list @t68 @t159 @t63 @t64 @t37) (=> @t307 (=> (tptp.hBOOL (tptp.hAPP @t303 @t444)) (tptp.hBOOL (tptp.hAPP @t304 @t444)))))) % 65.97/66.15 (assume @p241 (forall @t429 (=> @t525 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t405 @t405)))) % 65.97/66.15 (assume @p242 (forall (@list @t64 @t1 @t2 @t37 @t50) (=> @t527 (=> @t526 (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t201 @t392))))) % 65.97/66.15 (assume @p243 (forall (@list @t1 @t2 @t37 @t50) (=> @t527 (= @t526 (forall @t8 (tptp.c_Orderings_Oord__class_Oless__eq @t50 @t6 @t5)))))) % 65.97/66.15 (assume @p244 (forall @t523 (=> @t522 (exists @t189 (and (tptp.hBOOL (tptp.hAPP @t529 @t309)) (tptp.hBOOL (tptp.hAPP @t528 @t48))))))) % 65.97/66.15 (assume @p245 (forall @t120 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t517 @t48 @t47) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t517 @t47 @t530) (= @t531 @t530))))) % 65.97/66.15 (assume @p246 (forall @t511 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t517 @t159 @t157) (tptp.c_Orderings_Oord__class_Oless__eq @t517 @t456 (tptp.c_Transitive__Closure_Ortranclp @t37 @t157))))) % 65.97/66.15 (assume @p247 (forall @t462 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t517 @t460 @t461) (tptp.c_Orderings_Oord__class_Oless__eq @t116 (tptp.c_Wellfounded_Oaccp @t37 @t461) (tptp.c_Wellfounded_Oaccp @t37 @t460))))) % 65.97/66.15 (assume @p248 (forall @t61 (= (tptp.c_Orderings_Oord__class_Oless__eq @t399 @t60 @t59) (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t48 @t47)))) % 65.97/66.15 (assume @p249 (forall @t424 (=> @t532 (or @t490 @t491)))) % 65.97/66.15 (assume @p250 (forall @t130 (=> @t534 (= @t71 (and @t483 @t533))))) % 65.97/66.15 (assume @p251 (forall @t424 (=> @t525 (=> @t535 @t490)))) % 65.97/66.15 (assume @p252 (forall (@list @t64 @t63 @t37) (=> @t534 (=> @t533 (= @t483 @t71))))) % 65.97/66.15 (assume @p253 (forall @t419 (=> @t537 (=> @t536 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t413 @t412) @t500))))) % 65.97/66.15 (assume @p254 (forall @t419 (=> @t534 (=> @t536 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t412 @t413) @t538))))) % 65.97/66.15 (assume @p255 (forall @t419 (=> @t537 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t415 @t413) (=> @t539 @t500))))) % 65.97/66.15 (assume @p256 (forall @t422 (=> @t534 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t413 @t415) (=> @t539 @t538))))) % 65.97/66.15 (assume @p257 (forall @t424 (=> @t534 (=> @t490 (=> @t491 @t535))))) % 65.97/66.15 (assume @p258 (forall @t411 (=> @t525 (=> @t490 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t402 @t401) @t497))))) % 65.97/66.15 (assume @p259 (forall @t492 (=> @t534 (=> @t491 (=> @t490 @t535))))) % 65.97/66.15 (assume @p260 (forall @t541 (=> @t534 (=> @t491 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t401 @t402) @t540))))) % 65.97/66.15 (assume @p261 (forall @t424 (=> @t532 (=> (not @t490) @t491)))) % 65.97/66.15 (assume @p262 (forall (@list @t48 @t37 @t63 @t64 @t2) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t201 @t271) (=> (tptp.hBOOL (tptp.hAPP @t306 @t48)) (tptp.hBOOL (tptp.hAPP @t306 (tptp.c_Wellfounded_Omlex__prod @t37 @t2 @t48))))))) % 65.97/66.15 (assume @p263 (forall (@list @t229 @t35 @t50 @t41 @t37) (=> (forall @t8 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq @t57 @t220 (tptp.hAPP @t229 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t363 @t205 (tptp.c_FuncSet_OPi @t37 @t50 @t41 @t229))))) % 65.97/66.15 (assume @p264 (forall @t523 (=> @t522 (exists @t189 (and (tptp.hBOOL (tptp.hAPP @t529 @t48)) (tptp.hBOOL (tptp.hAPP @t528 @t309))))))) % 65.97/66.15 (assume @p265 (forall (@list @t285 @t37) (=> (tptp.hBOOL (tptp.hAPP @t286 @t452)) (not (forall @t8 (not (= @t285 @t180))))))) % 65.97/66.15 (assume @p266 (forall (@list @t63 @t64 @t464 @t82 @t50 @t37) (=> @t544 (=> @t543 @t542)))) % 65.97/66.15 (assume @p267 (forall (@list @t464 @t50 @t37 @t63 @t64 @t82) (=> @t543 (=> @t544 @t542)))) % 65.97/66.15 (assume @p268 (forall @t183 (= @t546 @t545))) % 65.97/66.15 (assume @p269 (forall (@list @t41 @t159 @t83 @t84 @t37) (=> @t294 (=> @t549 @t547)))) % 65.97/66.15 (assume @p270 (forall @t550 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t452 @t157) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 (tptp.c_Relation_Orel__comp @t37 @t37 @t37 (tptp.hAPP (tptp.hAPP @t441 @t273) @t157) @t159) @t157) (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t273 @t157))))) % 65.97/66.15 (assume @p271 (forall (@list @t157 @t36 @t230 @t159 @t83 @t84 @t50 @t37) (=> @t346 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t557 (tptp.hAPP (tptp.hAPP @t555 @t83) @t36)) @t157)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t554 (tptp.hAPP (tptp.hAPP @t552 @t84) @t36)) @t551)))))) % 65.97/66.15 (assume @p272 (forall (@list @t229 @t157 @t230 @t35 @t41 @t159 @t50 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t159 @t560) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t559 @t157 (tptp.c_Product__Type_OSigma @t50 @t230 @t35 @t234)) (tptp.c_Orderings_Oord__class_Oless__eq @t558 @t551 (tptp.c_Product__Type_OSigma @t37 @t230 @t41 @t232)))))) % 65.97/66.15 (assume @p273 (forall (@list @t157 @t561 @t230 @t159 @t562 @t50 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t562 @t159) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t559 @t561 @t157) (tptp.c_Orderings_Oord__class_Oless__eq @t558 (tptp.c_Relation_Orel__comp @t37 @t50 @t230 @t562 @t561) @t551))))) % 65.97/66.15 (assume @p274 (forall (@list @t313 @t47 @t48 @t237 @t50 @t230 @t37) (= (tptp.c_Relation_Orel__comp @t37 @t230 @t50 (tptp.c_Relation_Orel__comp @t37 @t237 @t230 @t48 @t47) @t313) (tptp.c_Relation_Orel__comp @t37 @t237 @t50 @t48 (tptp.c_Relation_Orel__comp @t237 @t230 @t50 @t47 @t313))))) % 65.97/66.15 (assume @p275 (forall (@list @t157 @t230 @t159 @t50 @t37) (=> @t350 (=> (tptp.c_Relation_Osingle__valued @t50 @t230 @t157) (tptp.c_Relation_Osingle__valued @t37 @t230 @t551))))) % 65.97/66.15 (assume @p276 (forall @t563 (= (tptp.c_Relation_Orel__comp @t37 @t37 @t50 @t452 @t48) @t48))) % 65.97/66.15 (assume @p277 (forall @t563 (= (tptp.c_Relation_Orel__comp @t37 @t50 @t50 @t48 (tptp.c_Relation_OId @t50)) @t48))) % 65.97/66.15 (assume @p278 (forall @t502 (= (tptp.c_Relation_Orel__comp @t37 @t37 @t37 @t309 @t309) @t309))) % 65.97/66.15 (assume @p279 (forall @t183 (= @t565 @t564))) % 65.97/66.15 (assume @p280 (forall @t550 (=> (tptp.c_Wellfounded_Oacyclic @t37 @t157) (=> @t476 @t546)))) % 65.97/66.15 (assume @p281 (forall @t566 (=> @t549 (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t444 @t548)))) % 65.97/66.15 (assume @p282 (forall @t183 (= @t444 @t564))) % 65.97/66.15 (assume @p283 (forall @t183 (= @t444 @t565))) % 65.97/66.15 (assume @p284 (forall @t218 (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t361 @t548))) % 65.97/66.15 (assume @p285 (forall @t511 (=> @t476 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t259 (tptp.c_Relation_Orel__comp @t37 @t37 @t37 (tptp.hAPP (tptp.hAPP @t441 @t444) @t157) @t159) @t157) (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t444 @t157))))) % 65.97/66.15 (assume @p286 (forall @t433 (= @t434 (and @t549 @t567)))) % 65.97/66.15 (assume @p287 (forall (@list @t35 @t83 @t50 @t41 @t84 @t37) (=> @t122 (=> @t570 @t569)))) % 65.97/66.15 (assume @p288 (forall @t575 (=> @t574 (= (tptp.c_Orderings_Oord__class_Oless__eq @t448 @t573 @t572) (tptp.c_Orderings_Oord__class_Oless__eq @t57 @t41 @t35))))) % 65.97/66.15 (assume @p289 (forall @t576 (=> @t569 (not (=> @t122 (not @t570)))))) % 65.97/66.15 (assume @p290 (forall (@list @t50 @t37 @t82) (= (forall (@list @t577) (tptp.hBOOL (tptp.hAPP @t82 @t577))) (forall @t153 (tptp.hBOOL (tptp.hAPP @t82 @t321)))))) % 65.97/66.15 (assume @p291 (forall (@list @t78 @t79 @t83 @t84 @t50 @t37) (= (= @t166 @t164) (and @t158 (= @t83 @t78))))) % 65.97/66.15 (assume @p292 (forall (@list @t578 @t579 @t413 @t415 @t50 @t37) (=> (= (tptp.hAPP (tptp.hAPP @t51 @t415) @t413) (tptp.hAPP (tptp.hAPP @t51 @t579) @t578)) (not (=> (= @t415 @t579) (not (= @t413 @t578))))))) % 65.97/66.15 (assume @p293 (forall @t575 (=> @t574 (= (= @t573 @t572) @t46)))) % 65.97/66.15 (assume @p294 (forall @t584 (= (tptp.c_Product__Type_OSigma @t37 @t50 (tptp.hAPP (tptp.hAPP @t373 @t582) @t580) @t229) (tptp.hAPP (tptp.hAPP @t398 @t583) @t581)))) % 65.97/66.15 (assume @p295 (forall @t588 (= (tptp.c_Product__Type_OSigma @t37 @t50 @t375 @t585) (tptp.hAPP (tptp.hAPP @t398 @t587) @t586)))) % 65.97/66.15 (assume @p296 (forall @t593 (= (tptp.c_Product__Type_OSigma @t37 @t50 @t582 (tptp.hAPP (tptp.hAPP @t592 (tptp.hAPP (tptp.c_COMBB @t57 @t591 @t37 (tptp.c_Lattices_Osemilattice__inf__class_Oinf @t57)) @t41)) @t35)) (tptp.hAPP (tptp.hAPP @t398 @t590) @t589)))) % 65.97/66.15 (assume @p297 (forall @t576 (= @t569 (and @t122 @t570)))) % 65.97/66.15 (assume @p298 (forall @t576 (=> @t569 @t122))) % 65.97/66.15 (assume @p299 (forall @t576 (=> @t569 @t570))) % 65.97/66.15 (assume @p300 (forall @t566 (=> @t549 (=> @t567 @t434)))) % 65.97/66.15 (assume @p301 (forall (@list @t83 @t84 @t594 @t37 @t230 @t50) (= (tptp.c_Product__Type_Oprod_Oprod__rec @t50 @t230 @t37 @t594 @t595) (tptp.hAPP (tptp.hAPP @t594 @t84) @t83)))) % 65.97/66.15 (assume @p302 (forall (@list @t63 @t64 @t157 @t159 @t230 @t50 @t37) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t37 @t50 @t230 @t356 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t50 @t559 @t231) (tptp.hAPP (tptp.c_COMBB @t597 (tptp.tc_fun @t559 @t231) @t50 (tptp.c_COMBC @t230 @t559 tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t230 @t556) @t597 @t50 (tptp.c_COMBB @t556 @t596 @t230 @t557)) @t555))) @t157)) @t64) @t63)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t554 (tptp.hAPP (tptp.hAPP @t552 @t64) @t63)) @t551))))) % 65.97/66.15 (assume @p303 (forall (@list @t230 @t50 @t37 @t36 @t157 @t83 @t84 @t159) (=> @t278 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 @t83) @t36)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t598 @t84) @t36)))))) % 65.97/66.15 (assume @p304 (forall (@list @t471 @t187 @t157 @t159 @t230 @t50 @t37) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t598 @t187) @t471)) (exists @t473 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t159 @t187) @t147)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t157 @t147) @t471))))))) % 65.97/66.15 (assume @p305 (forall (@list @t35 @t41 @t36 @t50 @t37) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t36) @t568)) (not (forall @t8 (=> @t223 (forall @t256 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t202 @t253) @t220)) (not (= @t36 @t353)))))))))) % 65.97/66.15 (assume @p306 (forall @t183 (=> @t545 @t546))) % 65.97/66.15 (assume @p307 (forall (@list @t238 @t35 @t50 @t229 @t41 @t37) (=> @t468 (=> (forall @t8 (=> @t223 (tptp.c_Orderings_Oord__class_Oless__eq @t57 @t220 (tptp.hAPP @t238 @t4)))) (tptp.c_Orderings_Oord__class_Oless__eq @t54 @t568 (tptp.c_Product__Type_OSigma @t37 @t50 @t229 @t238)))))) % 65.97/66.15 (assume @p308 (forall (@list @t157 @t159 @t230 @t600 @t50 @t37) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t53 @t600) (tptp.c_Relation_Orel__comp @t37 @t230 @t50 @t159 @t157))) (not (forall (@list @t4 @t253 @t184) (=> (= @t600 @t352) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t554 (tptp.hAPP (tptp.hAPP @t552 @t4) @t253)) @t159)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_member @t599) (tptp.hAPP (tptp.hAPP (tptp.c_Product__Type_OPair @t230 @t50) @t253) @t184)) @t157)))))))))) % 65.97/66.15 (assume @p309 (forall @t502 (= (tptp.c_Predicate_Opred__comp @t37 @t37 @t37 tptp.c_fequal (tptp.c_Predicate_Opred__comp @t37 @t37 @t37 @t48 tptp.c_fequal)) @t48))) % 65.97/66.15 (assume @p310 (forall (@list @t83 @t84 @t36 @t37 @t230 @t50) (= (tptp.c_Product__Type_Ointernal__split @t50 @t230 @t37 @t36 @t595) (tptp.hAPP (tptp.hAPP @t36 @t84) @t83)))) % 65.97/66.15 (assume @p311 (forall (@list @t63 @t64 @t36 @t37 @t230 @t50) (= (tptp.c_Product__Type_Ocurry @t50 @t230 @t37 @t36 @t64 @t63) (tptp.hAPP @t36 (tptp.hAPP (tptp.hAPP @t555 @t64) @t63))))) % 65.97/66.15 (assume @p312 (forall @t183 (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t444 (tptp.c_Product__Type_OSigma @t37 @t37 @t601 (tptp.c_COMBK @t116 @t37 @t601))))) % 65.97/66.15 (assume @p313 (forall (@list @t159 @t64 @t63 @t37) (= (tptp.c_Wellfounded_Oacyclic @t37 (tptp.c_Set_Oinsert @t162 @t269 @t159)) (and @t546 (not @t307))))) % 65.97/66.15 (assume @p314 (forall (@list @t83 @t84 @t50 @t37 @t2) (=> @t603 @t602))) % 65.97/66.15 (assume @p315 (forall @t607 (=> (=> (not @t606) @t101) @t605))) % 65.97/66.15 (assume @p316 (forall @t609 (=> @t608 (=> @t102 @t122)))) % 65.97/66.15 (assume @p317 (forall @t611 (=> @t122 (= @t610 @t41)))) % 65.97/66.15 (assume @p318 (forall @t607 (=> @t606 @t605))) % 65.97/66.15 (assume @p319 (forall @t480 (=> @t199 (=> (not @t129) (= (= @t613 @t612) @t46))))) % 65.97/66.15 (assume @p320 (forall @t609 (= @t608 @t547))) % 65.97/66.15 (assume @p321 (forall (@list @t35 @t84 @t37) (tptp.hBOOL (tptp.hAPP @t121 @t614)))) % 65.97/66.15 (assume @p322 (forall @t616 (= (tptp.hAPP (tptp.hAPP @t373 @t610) @t614) @t615))) % 65.97/66.15 (assume @p323 (forall @t347 (= (tptp.c_Relation_ODomain @t37 @t50 (tptp.c_Set_Oinsert @t52 @t166 @t159)) (tptp.c_Set_Oinsert @t37 @t84 @t343)))) % 65.97/66.15 (assume @p324 (forall (@list @t159 @t83 @t84 @t37 @t50) (= (tptp.c_Relation_ORange @t50 @t37 (tptp.c_Set_Oinsert @t389 (tptp.hAPP (tptp.hAPP @t388 @t84) @t83) @t159)) (tptp.c_Set_Oinsert @t37 @t83 @t391)))) % 65.97/66.15 (assume @p325 (forall @t133 (= (tptp.c_Set_Oinsert @t37 @t64 @t613) @t613))) % 65.97/66.15 (assume @p326 (forall @t362 (= (tptp.c_Set_Oinsert @t37 @t64 @t617) (tptp.c_Set_Oinsert @t37 @t63 @t613)))) % 65.97/66.15 (assume @p327 (forall (@list @t64 @t41 @t63 @t37) (= (tptp.hBOOL (tptp.hAPP @t617 @t64)) (or (= @t63 @t64) @t132)))) % 65.97/66.15 (assume @p328 (forall (@list @t84 @t35 @t37) (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t35 @t614))) % 65.97/66.15 (assume @p329 (forall (@list @t83 @t35 @t41 @t37) (=> @t455 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t41 @t604)))) % 65.97/66.15 (assume @p330 (forall (@list @t84 @t238 @t229 @t37) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t229 @t238) (tptp.c_Orderings_Oord__class_Oless__eq @t116 (tptp.c_Set_Oinsert @t37 @t84 @t229) (tptp.c_Set_Oinsert @t37 @t84 @t238))))) % 65.97/66.15 (assume @p331 (forall @t480 (=> @t199 (= (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t41 @t612) @t455)))) % 65.97/66.15 (assume @p332 (forall @t480 (= (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t613 @t35) (and @t129 @t455)))) % 65.97/66.15 (assume @p333 (forall @t621 @t620)) % 65.97/66.15 (assume @p334 (forall @t616 @t623)) % 65.97/66.15 (assume @p335 (forall @t621 @t624)) % 65.97/66.15 (assume @p336 (forall @t616 @t626)) % 65.97/66.15 (assume @p337 (forall @t621 (and @t620 @t624))) % 65.97/66.15 (assume @p338 (forall @t616 (and @t623 @t626))) % 65.97/66.15 (assume @p339 (forall (@list @t83 @t84 @t2 @t50 @t37) (=> @t602 @t603))) % 65.97/66.15 (assume @p340 (forall @t511 (=> @t476 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t601 @t627)))) % 65.97/66.15 (assume @p341 (forall (@list @t83 @t84 @t2 @t37 @t230 @t50) (= (tptp.c_Product__Type_Ocurry @t50 @t230 @t37 @t2 @t84 @t83) (tptp.hAPP @t2 @t595)))) % 65.97/66.15 (assume @p342 (forall (@list @t313 @t2 @t50 @t47 @t64 @t37) (=> @t312 (=> (tptp.hBOOL (tptp.hAPP @t208 (tptp.c_FuncSet_Oextensional__funcset @t37 @t50 (tptp.c_Set_Oinsert @t37 @t64 @t47) @t313))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t207 (tptp.c_Fun_Ofun__upd @t37 @t50 @t2 @t64 @t266)) @t314)))))) % 65.97/66.15 (assume @p343 (forall (@list @t64 @t47 @t2 @t50 @t313 @t63 @t37) (=> (tptp.hBOOL (tptp.hAPP @t125 @t313)) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t628 @t2) (tptp.c_FuncSet_Oextensional__funcset @t50 @t37 @t47 @t313))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t628 (tptp.c_Fun_Ofun__upd @t50 @t37 @t2 @t64 @t63)) (tptp.c_FuncSet_Oextensional__funcset @t50 @t37 (tptp.c_Set_Oinsert @t50 @t64 @t47) @t313))))))) % 65.97/66.15 (assume @p344 (forall (@list @t35 @t83 @t41 @t84 @t50 @t37) (= (tptp.c_Product__Type_OSigma @t37 @t50 @t610 @t629) (tptp.c_Set_Oinsert @t52 @t166 (tptp.hAPP (tptp.hAPP @t630 (tptp.c_Product__Type_OSigma @t37 @t50 @t41 @t629)) (tptp.c_Product__Type_OSigma @t37 @t50 @t610 @t212)))))) % 65.97/66.15 (assume @p345 (forall (@list @t37 @t41 @t64 @t35) (=> (=> @t372 @t132) @t634))) % 65.97/66.15 (assume @p346 (forall @t377 (=> @t634 (=> (not @t132) @t371)))) % 65.97/66.15 (assume @p347 (forall @t379 (=> @t635 @t43))) % 65.97/66.15 (assume @p348 (forall @t636 (=> (=> @t44 @t42) @t635))) % 65.97/66.15 (assume @p349 (forall (@list @t35 @t84 @t41 @t37) (= (tptp.hAPP @t632 @t614) (tptp.c_Set_Oinsert @t37 @t84 @t633)))) % 65.97/66.15 (assume @p350 (forall (@list @t229 @t35 @t84 @t37) (= (tptp.hAPP (tptp.hAPP @t631 @t614) @t229) (tptp.c_Set_Oinsert @t37 @t84 @t638)))) % 65.97/66.15 (assume @p351 (forall @t511 (= (tptp.c_Relation_OField @t37 @t641) (tptp.hAPP (tptp.hAPP @t631 @t601) @t627)))) % 65.97/66.15 (assume @p352 (forall @t584 (= (tptp.c_Product__Type_OSigma @t37 @t50 (tptp.hAPP (tptp.hAPP @t631 @t582) @t580) @t229) (tptp.hAPP (tptp.hAPP @t630 @t583) @t581)))) % 65.97/66.15 (assume @p353 (forall @t588 (= (tptp.c_Product__Type_OSigma @t37 @t50 @t633 @t585) (tptp.hAPP (tptp.hAPP @t630 @t587) @t586)))) % 65.97/66.15 (assume @p354 (forall @t593 (= (tptp.c_Product__Type_OSigma @t37 @t50 @t582 (tptp.hAPP (tptp.hAPP @t592 (tptp.hAPP (tptp.c_COMBB @t57 @t591 @t37 (tptp.c_Lattices_Osemilattice__sup__class_Osup @t57)) @t41)) @t35)) (tptp.hAPP (tptp.hAPP @t630 @t590) @t589)))) % 65.97/66.15 (assume @p355 (forall @t424 (=> @t395 @t645))) % 65.97/66.15 (assume @p356 (forall @t424 (=> @t646 @t645))) % 65.97/66.15 (assume @p357 (forall @t492 (=> @t395 @t647))) % 65.97/66.15 (assume @p358 (forall @t492 (=> @t646 @t647))) % 65.97/66.15 (assume @p359 (forall @t130 (=> @t646 (= @t483 (= @t648 @t63))))) % 65.97/66.15 (assume @p360 (forall @t485 (=> @t646 (= (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t648 @t68) (and @t484 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t63 @t68)))))) % 65.97/66.15 (assume @p361 (forall @t496 (=> @t646 (=> @t495 @t651)))) % 65.97/66.15 (assume @p362 (forall (@list @t415 @t413 @t405 @t37) (=> @t646 (=> @t494 @t651)))) % 65.97/66.15 (assume @p363 (forall @t424 (=> @t646 (=> @t490 (= @t644 @t402))))) % 65.97/66.15 (assume @p364 (forall @t492 (=> @t646 (=> @t491 (= @t644 @t405))))) % 65.97/66.15 (assume @p365 (forall @t488 (=> @t646 (=> @t487 (=> @t489 @t652))))) % 65.97/66.15 (assume @p366 (forall @t541 (=> @t646 (=> @t491 (=> @t540 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t654 @t405)))))) % 65.97/66.15 (assume @p367 (forall @t501 (=> @t646 (=> @t500 (=> @t499 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t650 (tptp.hAPP (tptp.hAPP @t642 @t412) @t498))))))) % 65.97/66.15 (assume @p368 (forall (@list @t405 @t413 @t415 @t37) (=> @t646 (=> @t652 (not (=> @t487 (not @t489))))))) % 65.97/66.15 (assume @p369 (forall @t508 (=> @t468 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t633 (tptp.hAPP @t655 @t238)))))) % 65.97/66.15 (assume @p370 (forall (@list @t35 @t229 @t41 @t37) (=> @t468 (=> @t469 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t633 @t229))))) % 65.97/66.15 (assume @p371 (forall @t504 (=> @t454 (= @t633 @t41)))) % 65.97/66.15 (assume @p372 (forall @t385 (=> @t455 @t656))) % 65.97/66.15 (assume @p373 (forall @t385 (= @t455 @t656))) % 65.97/66.15 (assume @p374 (forall @t504 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t35 @t633))) % 65.97/66.15 (assume @p375 (forall @t385 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t41 @t633))) % 65.97/66.15 (assume @p376 (forall @t429 (=> @t395 @t657))) % 65.97/66.15 (assume @p377 (forall @t424 (=> @t395 (= (tptp.hAPP @t406 @t644) @t405)))) % 65.97/66.15 (assume @p378 (forall @t424 (=> @t395 (= (tptp.hAPP @t643 @t408) @t405)))) % 65.97/66.15 (assume @p379 (forall @t411 (=> @t660 (= @t659 @t658)))) % 65.97/66.15 (assume @p380 (forall @t411 (=> @t660 (= @t663 @t662)))) % 65.97/66.15 (assume @p381 (forall @t664 (=> @t660 (= (tptp.hAPP (tptp.hAPP @t393 @t654) @t405) (tptp.hAPP (tptp.hAPP @t642 @t426) (tptp.hAPP (tptp.hAPP @t393 @t401) @t405)))))) % 65.97/66.15 (assume @p382 (forall @t664 (=> @t660 (= (tptp.hAPP (tptp.hAPP @t642 @t404) @t405) (tptp.hAPP (tptp.hAPP @t393 @t665) (tptp.hAPP (tptp.hAPP @t642 @t401) @t405)))))) % 65.97/66.15 (assume @p383 (forall @t396 (=> @t395 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t394) @t2) @t1) @t64) (tptp.hAPP (tptp.hAPP @t642 @t201) @t392))))) % 65.97/66.15 (assume @p384 (forall @t411 (=> @t646 @t667))) % 65.97/66.15 (assume @p385 (forall @t411 (=> @t395 @t667))) % 65.97/66.15 (assume @p386 (forall @t419 (=> @t646 (= (tptp.hAPP (tptp.hAPP @t642 @t650) @t412) @t669)))) % 65.97/66.15 (assume @p387 (forall @t411 (=> @t646 @t670))) % 65.97/66.15 (assume @p388 (forall @t411 (=> @t395 @t670))) % 65.97/66.15 (assume @p389 (forall @t422 (=> @t646 (= (tptp.hAPP @t668 (tptp.hAPP @t649 @t412)) @t669)))) % 65.97/66.15 (assume @p390 (forall @t424 (=> @t646 @t671))) % 65.97/66.15 (assume @p391 (forall @t424 (=> @t395 @t671))) % 65.97/66.15 (assume @p392 (forall @t425 (=> @t646 (= (tptp.hAPP @t649 @t650) @t650)))) % 65.97/66.15 (assume @p393 (forall @t424 (=> @t646 @t672))) % 65.97/66.15 (assume @p394 (forall @t424 (=> @t395 @t672))) % 65.97/66.15 (assume @p395 (forall @t425 (=> @t646 (= @t650 (tptp.hAPP @t668 @t415))))) % 65.97/66.15 (assume @p396 (forall @t429 (=> @t646 @t657))) % 65.97/66.15 (assume @p397 (forall @t430 (=> @t646 (= (tptp.hAPP @t649 @t415) @t415)))) % 65.97/66.15 (assume @p398 (forall @t449 (= (tptp.c_Relation_ODomain @t37 @t50 (tptp.hAPP (tptp.hAPP @t630 @t41) @t35)) (tptp.hAPP (tptp.hAPP @t631 @t451) @t450)))) % 65.97/66.15 (assume @p399 (forall (@list @t41 @t37 @t64 @t35) (=> @t371 @t634))) % 65.97/66.15 (assume @p400 (forall (@list @t35 @t37 @t64 @t41) (=> @t132 @t634))) % 65.97/66.15 (assume @p401 (forall @t676 (= (forall @t8 (=> @t675 @t673)) (and (forall @t8 (=> @t223 @t673)) (forall @t8 (=> @t674 @t673)))))) % 65.97/66.15 (assume @p402 (forall @t676 (= (exists @t8 (and @t675 @t673)) (or (exists @t8 (and @t223 @t673)) (exists @t8 (and @t674 @t673)))))) % 65.97/66.15 (assume @p403 (forall @t383 (= (tptp.hAPP (tptp.hAPP @t631 @t633) @t229) @t677))) % 65.97/66.15 (assume @p404 (forall @t383 (= @t677 (tptp.hAPP @t637 @t678)))) % 65.97/66.15 (assume @p405 (forall @t385 (= (tptp.hAPP @t632 @t633) @t633))) % 65.97/66.15 (assume @p406 (forall @t385 (= @t633 @t679))) % 65.97/66.15 (assume @p407 (forall @t218 (= (tptp.hAPP @t632 @t41) @t41))) % 65.97/66.15 (assume @p408 (forall (@list @t35 @t41 @t37 @t50) (= (tptp.c_Relation_ORange @t50 @t37 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t448) @t41) @t35)) (tptp.hAPP (tptp.hAPP @t631 @t447) @t446)))) % 65.97/66.15 (assume @p409 (forall @t443 (=> @t434 (=> @t442 (tptp.c_Relation_Orefl__on @t37 @t633 @t641))))) % 65.97/66.15 (assume @p410 (forall @t387 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP @t631 @t119) @t118) @t64)) (tptp.hBOOL (tptp.hAPP @t127 (tptp.hAPP (tptp.hAPP @t631 @t48) @t47)))))) % 65.97/66.15 (assume @p411 (forall @t120 (= (tptp.c_Transitive__Closure_Ortrancl @t37 @t683) @t681))) % 65.97/66.15 (assume @p412 (forall @t383 (= @t685 (tptp.hAPP @t684 @t384)))) % 65.97/66.15 (assume @p413 (forall @t383 (= (tptp.hAPP @t632 @t381) (tptp.hAPP @t686 @t678)))) % 65.97/66.15 (assume @p414 (forall @t688 (= (tptp.hAPP (tptp.hAPP @t373 @t638) @t41) (tptp.hAPP (tptp.hAPP @t631 @t386) @t687)))) % 65.97/66.15 (assume @p415 (forall @t688 (= (tptp.hAPP (tptp.hAPP @t631 @t381) @t41) (tptp.hAPP (tptp.hAPP @t373 @t679) @t689)))) % 65.97/66.15 (assume @p416 (forall @t383 (= (tptp.hAPP (tptp.hAPP @t631 (tptp.hAPP @t684 @t381)) @t687) (tptp.hAPP (tptp.hAPP @t373 (tptp.hAPP @t686 @t638)) @t689)))) % 65.97/66.15 (assume @p417 (forall @t379 (= @t635 (or @t42 @t40)))) % 65.97/66.15 (assume @p418 (forall @t379 (=> @t42 @t635))) % 65.97/66.15 (assume @p419 (forall @t636 (=> @t40 @t635))) % 65.97/66.15 (assume @p420 (forall (@list @t313 @t47 @t48 @t50 @t230 @t37) (= (tptp.c_Relation_Orel__comp @t37 @t230 @t50 @t48 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t690) @t47) @t313)) (tptp.hAPP (tptp.hAPP @t630 (tptp.c_Relation_Orel__comp @t37 @t230 @t50 @t48 @t47)) (tptp.c_Relation_Orel__comp @t37 @t230 @t50 @t48 @t313))))) % 65.97/66.15 (assume @p421 (forall (@list @t48 @t313 @t47 @t50 @t230 @t37) (= (tptp.c_Relation_Orel__comp @t37 @t230 @t50 (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Osemilattice__sup__class_Osup @t558) @t47) @t313) @t48) (tptp.hAPP (tptp.hAPP @t630 (tptp.c_Relation_Orel__comp @t37 @t230 @t50 @t47 @t48)) (tptp.c_Relation_Orel__comp @t37 @t230 @t50 @t313 @t48))))) % 65.97/66.15 (assume @p422 (forall @t411 (=> @t395 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t663 @t662)))) % 65.97/66.15 (assume @p423 (forall @t411 (=> @t395 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t658 @t659)))) % 65.97/66.15 (assume @p424 (forall @t383 (= (= (tptp.hAPP @t684 @t229) @t685) @t505))) % 65.97/66.15 (assume @p425 (forall (@list @t47 @t48 @t64 @t37) (=> (or (tptp.hBOOL (tptp.hAPP @t691 @t309)) (tptp.hBOOL (tptp.hAPP @t691 @t512))) (tptp.hBOOL (tptp.hAPP @t691 @t681))))) % 65.97/66.15 (assume @p426 (forall @t120 (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t683 @t681))) % 65.97/66.15 (assume @p427 (forall @t183 (= @t444 (tptp.hAPP @t640 (tptp.c_Relation_Orel__comp @t37 @t37 @t37 @t444 @t159))))) % 65.97/66.15 (assume @p428 (forall @t502 (= (tptp.hAPP @t682 @t452) @t309))) % 65.97/66.15 (assume @p429 (forall @t502 (= (tptp.c_Transitive__Closure_Ortrancl @t37 (tptp.hAPP @t680 @t452)) @t309))) % 65.97/66.15 (assume @p430 (forall @t183 (= (tptp.hAPP (tptp.hAPP @t639 @t444) @t452) @t273))) % 65.97/66.15 (assume @p431 (forall @t183 (= (tptp.c_Transitive__Closure_Otrancl @t37 (tptp.hAPP @t640 @t452)) @t273))) % 65.97/66.15 (assume @p432 (forall @t183 (= @t273 (tptp.hAPP (tptp.hAPP @t639 @t452) @t564)))) % 65.97/66.15 (assume @p433 (forall @t183 (= @t601 (tptp.hAPP (tptp.hAPP @t631 @t513) @t514)))) % 65.97/66.15 (assume @p434 (forall (@list @t64 @t2 @t50 @t37) (= (tptp.c_Fun_Ofun__upd @t37 @t50 @t2 @t64 @t201) @t2))) % 65.97/66.15 (assume @p435 (forall @t397 (= (tptp.c_Relation_OField @t37 (tptp.c_Set_Oinsert @t162 @t241 @t159)) (tptp.hAPP (tptp.hAPP @t631 @t694) @t601)))) % 65.97/66.15 (assume @p436 (forall (@list @t464 @t82 @t83 @t84 @t37) (=> (tptp.hBOOL (tptp.hAPP @t242 (tptp.c_Transitive__Closure_Ortrancl @t37 (tptp.hAPP (tptp.hAPP @t639 @t82) @t464)))) (=> (forall @t8 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t179 @t83)) @t695)) (forall @t256 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP @t254 @t4)) @t464)) (= @t253 @t4))))) (tptp.hBOOL (tptp.hAPP @t242 @t695)))))) % 65.97/66.15 (assume @p437 (forall @t453 (not (tptp.hBOOL (tptp.hAPP @t121 @t692))))) % 65.97/66.15 (assume @p438 (forall @t218 (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t692 @t41))) % 65.97/66.15 (assume @p439 (forall @t611 (not (= @t692 @t610)))) % 65.97/66.15 (assume @p440 (forall @t611 (not (= @t610 @t692)))) % 65.97/66.15 (assume @p441 (forall (@list @t696 @t36 @t83 @t84 @t37) (= (= @t694 (tptp.c_Set_Oinsert @t37 @t36 (tptp.c_Set_Oinsert @t37 @t696 @t692))) (or (and (= @t84 @t36) (= @t83 @t696)) (and (= @t84 @t696) (= @t83 @t36)))))) % 65.97/66.15 (assume @p442 (forall @t521 (=> (= @t697 @t693) @t101))) % 65.97/66.15 (assume @p443 (forall @t700 (= (tptp.c_FuncSet_Oextensional @t37 @t50 @t692) @t699))) % 65.97/66.15 (assume @p444 (forall (@list @t313 @t50 @t37) (= (tptp.c_FuncSet_Oextensional__funcset @t37 @t50 @t692 @t313) @t699))) % 65.97/66.15 (assume @p445 (forall @t130 (=> @t702 (= (= @t648 @t701) (and (= @t64 @t701) (= @t63 @t701)))))) % 65.97/66.15 (assume @p446 (forall @t429 (=> @t702 (= (tptp.hAPP @t643 @t701) @t405)))) % 65.97/66.15 (assume @p447 (forall @t429 (=> @t702 (= (tptp.hAPP (tptp.hAPP @t642 @t701) @t405) @t405)))) % 65.97/66.15 (assume @p448 (forall @t385 (= (= @t633 @t692) (and @t703 (= @t35 @t692))))) % 65.97/66.15 (assume @p449 (forall @t218 (= (tptp.hAPP @t632 @t692) @t41))) % 65.97/66.15 (assume @p450 (forall @t704 (= (tptp.hAPP (tptp.hAPP @t631 @t692) @t35) @t35))) % 65.97/66.15 (assume @p451 (forall @t502 (= (tptp.c_Transitive__Closure_Ortranclp @t37 (tptp.hAPP @t706 tptp.c_fequal)) @t530))) % 65.97/66.15 (assume @p452 (forall @t120 (= (tptp.c_Transitive__Closure_Ortranclp @t37 (tptp.hAPP (tptp.hAPP @t705 @t530) @t531)) (tptp.c_Transitive__Closure_Ortranclp @t37 (tptp.hAPP @t706 @t47))))) % 65.97/66.15 (assume @p453 (forall @t709 (= @t708 @t707))) % 65.97/66.15 (assume @p454 (forall @t709 (=> @t708 @t707))) % 65.97/66.15 (assume @p455 (forall @t711 (= (tptp.c_Relation_Orel__comp @t37 @t230 @t50 @t48 (tptp.c_Orderings_Obot__class_Obot @t690)) @t710))) % 65.97/66.15 (assume @p456 (forall @t711 (= (tptp.c_Relation_Orel__comp @t37 @t230 @t50 (tptp.c_Orderings_Obot__class_Obot @t558) @t48) @t710))) % 65.97/66.15 (assume @p457 (forall @t429 (=> @t702 (= (tptp.hAPP @t406 @t701) @t701)))) % 65.97/66.15 (assume @p458 (forall @t429 (=> @t702 (= (tptp.hAPP (tptp.hAPP @t393 @t701) @t405) @t701)))) % 65.97/66.15 (assume @p459 (forall (@list @t64 @t50 @t37) (=> @t712 (= (tptp.hAPP (tptp.c_Orderings_Obot__class_Obot @t394) @t64) @t701)))) % 65.97/66.15 (assume @p460 (forall (@list @t84 @t37 @t41) (=> @t703 @t625))) % 65.97/66.15 (assume @p461 (forall (@list @t36 @t37) (not (tptp.hBOOL (tptp.hAPP @t39 @t692))))) % 65.97/66.15 (assume @p462 (forall @t218 (= (exists @t8 @t223) (not @t703)))) % 65.97/66.15 (assume @p463 (forall @t218 (= (forall @t8 (not @t223)) @t703))) % 65.97/66.15 (assume @p464 (forall @t385 (= (= @t375 @t692) (forall @t8 (=> @t223 (forall @t154 (=> (tptp.hBOOL (tptp.hAPP @t432 @t35)) @t431))))))) % 65.97/66.15 (assume @p465 (forall @t218 (= (tptp.hAPP @t374 @t692) @t692))) % 65.97/66.15 (assume @p466 (forall @t704 (= (tptp.hAPP (tptp.hAPP @t373 @t692) @t35) @t692))) % 65.97/66.15 (assume @p467 (forall @t516 (= (tptp.c_Transitive__Closure_Otrancl @t37 @t713) @t713))) % 65.97/66.15 (assume @p468 (forall @t516 (tptp.c_Relation_Orefl__on @t37 @t692 @t713))) % 65.97/66.15 (assume @p469 (forall (@list @t159 @t37 @t50) (= (= @t391 @t692) (= @t159 @t714)))) % 65.97/66.15 (assume @p470 (forall (@list @t37 @t50) (= (tptp.c_Relation_ORange @t50 @t37 @t714) @t692))) % 65.97/66.15 (assume @p471 (forall @t516 (= (tptp.c_Relation_OId__on @t37 @t692) @t713))) % 65.97/66.15 (assume @p472 (forall (@list @t50 @t37 @t47) (=> (not (= @t47 @t692)) (= (tptp.c_FuncSet_Oextensional__funcset @t37 @t50 @t47 @t715) @t698)))) % 65.97/66.15 (assume @p473 (forall @t449 (= (= @t205 @t698) (exists @t8 (and @t223 (= @t220 @t715)))))) % 65.97/66.15 (assume @p474 (forall @t355 (= (= @t343 @t692) (= @t159 @t710)))) % 65.97/66.15 (assume @p475 (forall @t700 (= (tptp.c_Relation_ODomain @t37 @t50 @t710) @t692))) % 65.97/66.15 (assume @p476 (forall @t429 (=> @t712 (tptp.c_Orderings_Oord__class_Oless__eq @t37 @t701 @t405)))) % 65.97/66.15 (assume @p477 (forall @t183 (tptp.c_Relation_Ototal__on @t37 @t692 @t159))) % 65.97/66.15 (assume @p478 (forall (@list @t64 @t37) (= (tptp.hBOOL (tptp.hAPP @t692 @t64)) (tptp.hBOOL (tptp.hAPP @t127 @t692))))) % 65.97/66.15 (assume @p479 (forall @t218 (= (tptp.c_Orderings_Oord__class_Oless__eq @t116 @t41 @t692) @t703))) % 65.97/66.15 (assume @p480 (forall (@list @t35 @t37 @t41) (=> (= @t41 @t713) (tptp.c_Orderings_Oord__class_Oless__eq @t259 @t41 @t35)))) % 65.97/66.15 (assume @p481 (forall (@list @t35 @t50 @t37) (= (tptp.c_Product__Type_OSigma @t37 @t50 @t692 @t35) @t710))) % 65.97/66.15 (assume @p482 (forall (@list @t41 @t50 @t37) (= (tptp.c_Product__Type_OSigma @t37 @t50 @t41 (tptp.c_COMBK @t57 @t37 @t715)) @t710))) % 65.97/66.15 (assume @p483 (forall @t449 (= (= @t560 @t710) (or @t703 (= @t35 @t715))))) % 65.97/66.15 (assume @p484 (forall @t516 (= (tptp.c_Relation_OField @t37 @t713) @t692))) % 65.97/66.15 (assume @p485 (tptp.class_Lattices_Obounded__lattice tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p486 (forall @t720 (=> @t719 (tptp.class_Lattices_Obounded__lattice @t718)))) % 65.97/66.15 (assume @p487 (forall @t720 (=> @t719 (tptp.class_Lattices_Obounded__lattice__bot @t718)))) % 65.97/66.15 (assume @p488 (forall @t720 (=> @t721 (tptp.class_Lattices_Osemilattice__sup @t718)))) % 65.97/66.15 (assume @p489 (forall @t720 (=> @t721 (tptp.class_Lattices_Osemilattice__inf @t718)))) % 65.97/66.15 (assume @p490 (forall @t720 (=> (tptp.class_Lattices_Odistrib__lattice @t716) (tptp.class_Lattices_Odistrib__lattice @t718)))) % 65.97/66.15 (assume @p491 (forall @t720 (=> (tptp.class_Orderings_Opreorder @t716) (tptp.class_Orderings_Opreorder @t718)))) % 65.97/66.15 (assume @p492 (forall @t720 (=> @t721 (tptp.class_Lattices_Olattice @t718)))) % 65.97/66.15 (assume @p493 (forall @t720 (=> (tptp.class_Orderings_Oorder @t716) (tptp.class_Orderings_Oorder @t718)))) % 65.97/66.15 (assume @p494 (forall @t720 (=> (tptp.class_Orderings_Oord @t716) (tptp.class_Orderings_Oord @t718)))) % 65.97/66.15 (assume @p495 (forall @t720 (=> (tptp.class_Orderings_Obot @t716) (tptp.class_Orderings_Obot @t718)))) % 65.97/66.15 (assume @p496 (tptp.class_Lattices_Osemilattice__sup tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p497 (tptp.class_Lattices_Osemilattice__inf tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p498 (tptp.class_Lattices_Odistrib__lattice tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p499 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p500 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p501 (tptp.class_Lattices_Olattice tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p502 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p503 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p504 (tptp.class_Orderings_Obot tptp.tc_Nat_Onat)) % 65.97/66.15 (assume @p505 (tptp.class_Lattices_Obounded__lattice__bot tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p506 (tptp.class_Lattices_Osemilattice__sup tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p507 (tptp.class_Lattices_Osemilattice__inf tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p508 (tptp.class_Lattices_Odistrib__lattice tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p509 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p510 (tptp.class_Lattices_Olattice tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p511 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p512 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p513 (tptp.class_Orderings_Obot tptp.tc_HOL_Obool)) % 65.97/66.15 (assume @p514 (forall (@list @t722 @t37) (= (tptp.hAPP @t216 @t722) @t722))) % 65.97/66.15 (assume @p515 (forall (@list @t723 @t722 @t50 @t37) (= (tptp.hAPP (tptp.c_COMBK @t37 @t50 @t722) @t723) @t722))) % 65.97/66.15 (assume @p516 @t725) % 65.97/66.15 (assume @p517 (forall @t727 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t50 @t230 @t37) @t82) @t464) @t48) (tptp.hAPP @t726 @t464)))) % 65.97/66.15 (assume @p518 (forall @t727 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t50 @t230 @t37) @t82) @t464) @t48) (tptp.hAPP @t726 @t724)))) % 65.97/66.15 (assume @p519 (forall @t729 (or (not @t728) @t71))) % 65.97/66.15 (assume @p520 (forall @t729 (or @t72 @t728))) % 65.97/66.15 (assume @p521 (forall @t732 (or (not @t731) @t730))) % 65.97/66.15 (assume @p522 (forall @t732 (or (not @t730) @t731))) % 65.97/66.15 (assume @p523 @t736) % 65.97/66.15 (assume @p524 true) % 65.97/66.15 (step @p525 :rule aci_norm :args ((= (or @t707 @t744) @t743))) % 65.97/66.15 (step @p526 :rule aci_norm :args ((= (or @t742 @t745) @t744))) % 65.97/66.15 (step @p527 :rule aci_norm :args ((= (or @t741 @t746) @t745))) % 65.97/66.15 (step @p528 :rule aci_norm :args ((= (or @t740 @t747) @t746))) % 65.97/66.15 (step @p529 :rule aci_norm :args ((= (or @t739 @t748) @t747))) % 65.97/66.15 (step @p530 :rule aci_norm :args ((= (or @t738 (or @t737 @t88)) @t748))) % 65.97/66.15 (step @p531 :rule bool-impl-elim :args (@t89 @t88)) % 65.97/66.15 (step @p532 :rule refl :args (@t738)) % 65.97/66.15 (step @p533 :rule nary_cong :premises (@p532 @p531) :args ((or @t738 @t90))) % 65.97/66.15 (step @p534 :rule trans :premises (@p533 @p530)) % 65.97/66.15 (step @p535 :rule bool-impl-elim :args (@t91 @t90)) % 65.97/66.15 (step @p536 :rule trans :premises (@p535 @p534)) % 65.97/66.15 (step @p537 :rule refl :args (@t739)) % 65.97/66.15 (step @p538 :rule nary_cong :premises (@p537 @p536) :args ((or @t739 @t92))) % 65.97/66.15 (step @p539 :rule trans :premises (@p538 @p529)) % 65.97/66.15 (step @p540 :rule bool-impl-elim :args (@t93 @t92)) % 65.97/66.15 (step @p541 :rule trans :premises (@p540 @p539)) % 65.97/66.15 (step @p542 :rule refl :args (@t740)) % 65.97/66.15 (step @p543 :rule nary_cong :premises (@p542 @p541) :args ((or @t740 @t94))) % 65.97/66.15 (step @p544 :rule trans :premises (@p543 @p528)) % 65.97/66.15 (step @p545 :rule refl :args (@t94)) % 65.97/66.15 (step @p546 :rule bool-double-not-elim :args (@t740)) % 65.97/66.15 (step @p547 :rule nary_cong :premises (@p546 @p545) :args ((or @t750 @t94))) % 65.97/66.15 (step @p548 :rule bool-impl-elim :args (@t749 @t94)) % 65.97/66.15 (step @p549 :rule trans :premises (@p548 @p547)) % 65.97/66.15 (step @p550 :rule trans :premises (@p549 @p544)) % 65.97/66.15 (step @p551 :rule refl :args (@t741)) % 65.97/66.15 (step @p552 :rule nary_cong :premises (@p551 @p550) :args ((or @t741 @t751))) % 65.97/66.15 (step @p553 :rule trans :premises (@p552 @p527)) % 65.97/66.15 (step @p554 :rule refl :args (@t751)) % 65.97/66.15 (step @p555 :rule bool-double-not-elim :args (@t741)) % 65.97/66.15 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or @t753 @t751))) % 65.97/66.15 (step @p557 :rule bool-impl-elim :args (@t752 @t751)) % 65.97/66.15 (step @p558 :rule trans :premises (@p557 @p556)) % 65.97/66.15 (step @p559 :rule trans :premises (@p558 @p553)) % 65.97/66.15 (step @p560 :rule refl :args (@t742)) % 65.97/66.15 (step @p561 :rule nary_cong :premises (@p560 @p559) :args ((or @t742 @t754))) % 65.97/66.15 (step @p562 :rule trans :premises (@p561 @p526)) % 65.97/66.15 (step @p563 :rule refl :args (@t754)) % 65.97/66.15 (step @p564 :rule bool-double-not-elim :args (@t742)) % 65.97/66.15 (step @p565 :rule nary_cong :premises (@p564 @p563) :args ((or @t756 @t754))) % 65.97/66.15 (step @p566 :rule bool-impl-elim :args (@t755 @t754)) % 65.97/66.15 (step @p567 :rule trans :premises (@p566 @p565)) % 65.97/66.15 (step @p568 :rule trans :premises (@p567 @p562)) % 65.97/66.15 (step @p569 :rule refl :args (@t707)) % 65.97/66.15 (step @p570 :rule nary_cong :premises (@p569 @p568) :args ((or @t707 @t757))) % 65.97/66.15 (step @p571 :rule trans :premises (@p570 @p525)) % 65.97/66.15 (step @p572 :rule refl :args (@t757)) % 65.97/66.15 (step @p573 :rule bool-double-not-elim :args (@t707)) % 65.97/66.15 (step @p574 :rule nary_cong :premises (@p573 @p572) :args ((or @t759 @t757))) % 65.97/66.15 (step @p575 :rule bool-impl-elim :args (@t758 @t757)) % 65.97/66.15 (step @p576 :rule trans :premises (@p575 @p574)) % 65.97/66.15 (step @p577 :rule trans :premises (@p576 @p571)) % 65.97/66.15 (step @p578 :rule cong :premises (@p577) :args ((forall @t104 (=> @t758 @t757)))) % 65.97/66.15 (step @p579 :rule refl :args (@t94)) % 65.97/66.15 (step @p580 :rule eq-symm :args (@t83 @t79)) % 65.97/66.15 (step @p581 :rule cong :premises (@p580) :args (@t95)) % 65.97/66.15 (step @p582 :rule cong :premises (@p581 @p579) :args (@t96)) % 65.97/66.15 (step @p583 :rule eq-symm :args (@t84 @t78)) % 65.97/66.15 (step @p584 :rule cong :premises (@p583) :args (@t97)) % 65.97/66.15 (step @p585 :rule cong :premises (@p584 @p582) :args (@t98)) % 65.97/66.15 (step @p586 :rule eq-symm :args (@t79 @t78)) % 65.97/66.15 (step @p587 :rule cong :premises (@p586) :args (@t99)) % 65.97/66.15 (step @p588 :rule cong :premises (@p587 @p585) :args (@t100)) % 65.97/66.15 (step @p589 :rule eq-symm :args (@t84 @t83)) % 65.97/66.15 (step @p590 :rule cong :premises (@p589) :args (@t102)) % 65.97/66.15 (step @p591 :rule cong :premises (@p590 @p588) :args (@t103)) % 65.97/66.15 (step @p592 :rule cong :premises (@p591) :args (@t105)) % 65.97/66.15 (step @p593 :rule trans :premises (@p592 @p578)) % 65.97/66.15 (step @p594 :rule eq_resolve :premises (@p16 @p593)) % 65.97/66.15 (step @p595 :rule refl :args (@t735)) % 65.97/66.15 (step @p596 :rule refl :args (@t761)) % 65.97/66.15 (step @p597 :rule refl :args (@t762)) % 65.97/66.15 (step @p598 :rule refl :args (@t763)) % 65.97/66.15 (step @p599 :rule eq-symm :args (tptp.v_a____ tptp.v_b____)) % 65.97/66.15 (step @p600 :rule eq-symm :args (tptp.v_c____ tptp.v_a____)) % 65.97/66.15 (step @p601 :rule refl :args (@t764)) % 65.97/66.15 (step @p602 :rule nary_cong :premises (@p601 @p600 @p600 @p599 @p598 @p597 @p596 @p595) :args (@t766)) % 65.97/66.15 (step @p603 :rule refl :args (@t767)) % 65.97/66.15 (step @p604 :rule cong :premises (@p603 @p602) :args ((=> @t767 @t766))) % 65.97/66.15 (assume-push @p802 @t767) % 65.97/66.15 (step @p606 :rule instantiate :premises (@p594) :args (@t768)) % 65.97/66.15 (step-pop @p803 :rule scope :premises (@p606)) % 65.97/66.15 (step @p607 :rule process_scope :premises (@p803) :args (@t766)) % 65.97/66.15 (step @p609 :rule eq_resolve :premises (@p607 @p604)) % 65.97/66.15 (step @p610 :rule implies_elim :premises (@p609)) % 65.97/66.15 (step @p611 :rule chain_m_resolution :premises (@p610 @p594) :args (@t769 @t770 (@list @t767))) % 65.97/66.15 (step @p612 :rule cnf_equiv_neg2 :args (@t776)) % 65.97/66.15 (step @p613 :rule instantiate :premises (@p6) :args ((@list @t771))) % 65.97/66.15 (step @p614 :rule cnf_equiv_pos1 :args (@t782)) % 65.97/66.15 (step @p615 :rule reordering :premises (@p614) :args ((or @t784 @t781 @t783))) % 65.97/66.15 (step @p616 :rule instantiate :premises (@p517) :args ((@list @t771 tptp.v_b____ @t31 @t22 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 65.97/66.15 (step @p617 :rule instantiate :premises (@p517) :args ((@list @t771 tptp.v_c____ @t29 @t26 tptp.tc_Arrow__Order__Mirabelle_Oalt tptp.tc_Arrow__Order__Mirabelle_Oindi))) % 65.97/66.15 (step @p618 :rule eq-symm :args (@t785 @t777)) % 65.97/66.15 (step @p619 :rule refl :args (@t725)) % 65.97/66.15 (step @p620 :rule cong :premises (@p619 @p618) :args ((=> @t725 @t786))) % 65.97/66.15 (assume-push @p804 @t725) % 65.97/66.15 (step @p622 :rule instantiate :premises (@p516) :args ((@list @t771 tptp.v_P____ tptp.c_Arrow__Order__Mirabelle_Obelow tptp.tc_Arrow__Order__Mirabelle_Oindi @t27 @t22))) % 65.97/66.15 (step-pop @p805 :rule scope :premises (@p622)) % 65.97/66.15 (step @p623 :rule process_scope :premises (@p805) :args (@t786)) % 65.97/66.15 (step @p625 :rule eq_resolve :premises (@p623 @p620)) % 65.97/66.15 (step @p626 :rule implies_elim :premises (@p625)) % 65.97/66.15 (step @p627 :rule chain_m_resolution :premises (@p626 @p516) :args (@t787 @t770 (@list @t725))) % 65.97/66.15 (step @p628 :rule refl :args (@t788)) % 65.97/66.15 (step @p629 :rule refl :args (@t789)) % 65.97/66.15 (step @p630 :rule refl :args (@t792)) % 65.97/66.15 (step @p631 :rule refl :args (@t794)) % 65.97/66.15 (step @p632 :rule bool-double-not-elim :args (@t773)) % 65.97/66.15 (step @p633 :rule nary_cong :premises (@p632 @p631 @p630 @p629 @p628) :args ((or (not @t795) @t794 @t792 @t789 @t788))) % 65.97/66.15 (assume-push @p806 @t795) % 65.97/66.15 (assume-push @p807 @t793) % 65.97/66.15 (assume-push @p808 @t791) % 65.97/66.15 (assume-push @p809 @t787) % 65.97/66.15 (assume-push @p810 @t795) % 65.97/66.15 (assume-push @p811 @t793) % 65.97/66.15 (assume-push @p812 @t791) % 65.97/66.15 (assume-push @p813 @t787) % 65.97/66.15 (step @p642 :rule false_intro :premises (@p806)) % 65.97/66.15 (step @p643 :rule symm :premises (@p616)) % 65.97/66.15 (step @p644 :rule refl :args (tptp.v_b____)) % 65.97/66.15 (step @p645 :rule symm :premises (@p617)) % 65.97/66.15 (step @p646 :rule refl :args (tptp.v_c____)) % 65.97/66.15 (step @p647 :rule cong :premises (@p627 @p646) :args (@t778)) % 65.97/66.15 (step @p648 :rule trans :premises (@p647 @p645)) % 65.97/66.15 (step @p649 :rule cong :premises (@p648 @p644) :args (@t779)) % 65.97/66.15 (step @p650 :rule trans :premises (@p649 @p643)) % 65.97/66.15 (step @p651 :rule refl :args (@t18)) % 65.97/66.15 (step @p652 :rule cong :premises (@p651 @p650) :args (@t780)) % 65.97/66.15 (step @p653 :rule cong :premises (@p652) :args (@t781)) % 65.97/66.15 (step @p654 :rule trans :premises (@p653 @p642)) % 65.97/66.15 (step @p655 :rule false_elim :premises (@p654)) % 65.97/66.15 (step-pop @p814 :rule scope :premises (@p655)) % 65.97/66.15 (step-pop @p815 :rule scope :premises (@p814)) % 65.97/66.15 (step-pop @p816 :rule scope :premises (@p815)) % 65.97/66.15 (step-pop @p817 :rule scope :premises (@p816)) % 65.97/66.15 (step @p656 :rule process_scope :premises (@p817) :args (@t788)) % 65.97/66.15 (step @p661 :rule and_intro :premises (@p806 @p616 @p617 @p627)) % 65.97/66.15 (step @p662 :rule modus_ponens :premises (@p661 @p656)) % 65.97/66.15 (step-pop @p818 :rule scope :premises (@p662)) % 65.97/66.15 (step-pop @p819 :rule scope :premises (@p818)) % 65.97/66.15 (step-pop @p820 :rule scope :premises (@p819)) % 65.97/66.15 (step-pop @p821 :rule scope :premises (@p820)) % 65.97/66.15 (step @p663 :rule process_scope :premises (@p821) :args (@t788)) % 65.97/66.15 (step @p668 :rule implies_elim :premises (@p663)) % 65.97/66.15 (step @p669 :rule cnf_and_neg :args (@t796)) % 65.97/66.15 (step @p670 :rule resolution :premises (@p669 @p668) :args (true @t796)) % 65.97/66.15 (step @p671 :rule eq_resolve :premises (@p670 @p633)) % 65.97/66.15 (step @p672 :rule reordering :premises (@p671) :args ((or @t773 @t788 @t794 @t792 @t789))) % 65.97/66.15 (step @p673 :rule chain_m_resolution :premises (@p672 @p627 @p617 @p616 @p615 @p613 @p612) :args ((or @t776 @t784) (@list false false false false false true) (@list @t787 @t791 @t793 @t781 @t782 @t773))) % 65.97/66.15 (step @p674 :rule cnf_equiv_neg1 :args (@t776)) % 65.97/66.15 (step @p675 :rule reordering :premises (@p674) :args ((or @t775 @t773 @t776))) % 65.97/66.15 (step @p676 :rule cnf_equiv_pos2 :args (@t782)) % 65.97/66.15 (step @p677 :rule reordering :premises (@p676) :args ((or @t775 @t788 @t783))) % 65.97/66.15 (assume-push @p822 @t773) % 65.97/66.15 (assume-push @p823 @t793) % 65.97/66.15 (assume-push @p824 @t791) % 65.97/66.15 (assume-push @p825 @t787) % 65.97/66.15 (assume-push @p826 @t773) % 65.97/66.15 (assume-push @p827 @t793) % 65.97/66.15 (assume-push @p828 @t791) % 65.97/66.15 (assume-push @p829 @t787) % 65.97/66.15 (step @p686 :rule true_intro :premises (@p822)) % 65.97/66.15 (step @p643 :rule symm :premises (@p616)) % 65.97/66.15 (step @p644 :rule refl :args (tptp.v_b____)) % 65.97/66.15 (step @p645 :rule symm :premises (@p617)) % 65.97/66.15 (step @p646 :rule refl :args (tptp.v_c____)) % 65.97/66.15 (step @p647 :rule cong :premises (@p627 @p646) :args (@t778)) % 65.97/66.15 (step @p648 :rule trans :premises (@p647 @p645)) % 65.97/66.15 (step @p649 :rule cong :premises (@p648 @p644) :args (@t779)) % 65.97/66.15 (step @p650 :rule trans :premises (@p649 @p643)) % 65.97/66.15 (step @p651 :rule refl :args (@t18)) % 65.97/66.15 (step @p652 :rule cong :premises (@p651 @p650) :args (@t780)) % 65.97/66.15 (step @p653 :rule cong :premises (@p652) :args (@t781)) % 65.97/66.15 (step @p687 :rule trans :premises (@p653 @p686)) % 65.97/66.15 (step @p688 :rule true_elim :premises (@p687)) % 65.97/66.15 (step-pop @p830 :rule scope :premises (@p688)) % 65.97/66.15 (step-pop @p831 :rule scope :premises (@p830)) % 65.97/66.15 (step-pop @p832 :rule scope :premises (@p831)) % 65.97/66.15 (step-pop @p833 :rule scope :premises (@p832)) % 65.97/66.15 (step @p689 :rule process_scope :premises (@p833) :args (@t781)) % 65.97/66.15 (step @p694 :rule and_intro :premises (@p822 @p616 @p617 @p627)) % 65.97/66.15 (step @p695 :rule modus_ponens :premises (@p694 @p689)) % 65.97/66.15 (step-pop @p834 :rule scope :premises (@p695)) % 65.97/66.15 (step-pop @p835 :rule scope :premises (@p834)) % 65.97/66.15 (step-pop @p836 :rule scope :premises (@p835)) % 65.97/66.15 (step-pop @p837 :rule scope :premises (@p836)) % 65.97/66.15 (step @p696 :rule process_scope :premises (@p837) :args (@t781)) % 65.97/66.15 (step @p701 :rule implies_elim :premises (@p696)) % 65.97/66.15 (step @p702 :rule cnf_and_neg :args (@t797)) % 65.97/66.15 (step @p703 :rule resolution :premises (@p702 @p701) :args (true @t797)) % 65.97/66.15 (step @p704 :rule reordering :premises (@p703) :args ((or @t795 @t781 @t794 @t792 @t789))) % 65.97/66.15 (step @p705 :rule chain_m_resolution :premises (@p704 @p627 @p617 @p616 @p677 @p613 @p675 @p673) :args (@t776 (@list false false false true false false true) (@list @t787 @t791 @t793 @t781 @t782 @t773 @t775))) % 65.97/66.15 (step @p706 :rule refl :args (@t798)) % 65.97/66.15 (step @p707 :rule bool-double-not-elim :args (@t760)) % 65.97/66.15 (step @p708 :rule nary_cong :premises (@p707 @p706) :args ((or (not @t761) @t798))) % 65.97/66.15 (assume-push @p838 @t761) % 65.97/66.15 (step @p710 :rule skolemize :premises (@p838)) % 65.97/66.15 (step-pop @p839 :rule scope :premises (@p710)) % 65.97/66.15 (step @p711 :rule process_scope :premises (@p839) :args (@t798)) % 65.97/66.15 (step @p713 :rule implies_elim :premises (@p711)) % 65.97/66.15 (step @p714 :rule eq_resolve :premises (@p713 @p708)) % 65.97/66.15 (step @p715 :rule chain_m_resolution :premises (@p714 @p705) :args (@t760 @t770 (@list @t776))) % 65.97/66.15 (step @p716 :rule symm :premises (@p4)) % 65.97/66.15 (step @p717 :rule and_elim :premises (@p5) :args (1)) % 65.97/66.15 (step @p718 :rule cnf_or_pos :args (@t769)) % 65.97/66.15 (step @p719 :rule factoring :premises (@p718)) % 65.97/66.15 (step @p720 :rule reordering :premises (@p719) :args ((or @t11 @t735 @t764 @t763 @t762 @t761 (not @t769)))) % 65.97/66.15 (step @p721 :rule chain_m_resolution :premises (@p720 @p717 @p716 @p8 @p15 @p715 @p611) :args (@t735 (@list true true false false false false) (@list @t11 @t764 @t25 @t76 @t760 @t769))) % 65.97/66.15 (step @p722 :rule not_equiv_elim2 :premises (@p523)) % 65.97/66.15 (step @p723 :rule aci_norm :args ((= (or @t707 @t801) @t800))) % 65.97/66.15 (step @p724 :rule aci_norm :args ((= (or @t742 @t802) @t801))) % 65.97/66.15 (step @p725 :rule aci_norm :args ((= (or @t741 @t803) @t802))) % 65.97/66.15 (step @p726 :rule aci_norm :args ((= (or @t740 @t804) @t803))) % 65.97/66.15 (step @p727 :rule aci_norm :args ((= (or @t739 @t805) @t804))) % 65.97/66.15 (step @p728 :rule aci_norm :args ((= (or @t738 @t806) @t805))) % 65.97/66.15 (step @p729 :rule aci_norm :args ((= (or @t737 (or @t799 @t81)) @t806))) % 65.97/66.15 (step @p730 :rule bool-impl-elim :args (@t87 @t81)) % 65.97/66.15 (step @p731 :rule refl :args (@t737)) % 65.97/66.15 (step @p732 :rule nary_cong :premises (@p731 @p730) :args ((or @t737 @t134))) % 65.97/66.15 (step @p733 :rule trans :premises (@p732 @p729)) % 65.97/66.15 (step @p734 :rule bool-impl-elim :args (@t89 @t134)) % 65.97/66.15 (step @p735 :rule trans :premises (@p734 @p733)) % 65.97/66.15 (step @p736 :rule nary_cong :premises (@p532 @p735) :args ((or @t738 @t135))) % 65.97/66.15 (step @p737 :rule trans :premises (@p736 @p728)) % 65.97/66.15 (step @p738 :rule bool-impl-elim :args (@t91 @t135)) % 65.97/66.15 (step @p739 :rule trans :premises (@p738 @p737)) % 65.97/66.15 (step @p740 :rule nary_cong :premises (@p537 @p739) :args ((or @t739 @t136))) % 65.97/66.15 (step @p741 :rule trans :premises (@p740 @p727)) % 65.97/66.15 (step @p742 :rule bool-impl-elim :args (@t93 @t136)) % 65.97/66.15 (step @p743 :rule trans :premises (@p742 @p741)) % 65.97/66.15 (step @p744 :rule nary_cong :premises (@p542 @p743) :args ((or @t740 @t137))) % 65.97/66.15 (step @p745 :rule trans :premises (@p744 @p726)) % 65.97/66.15 (step @p746 :rule refl :args (@t137)) % 65.97/66.15 (step @p747 :rule nary_cong :premises (@p546 @p746) :args ((or @t750 @t137))) % 65.97/66.15 (step @p748 :rule bool-impl-elim :args (@t749 @t137)) % 65.97/66.15 (step @p749 :rule trans :premises (@p748 @p747)) % 65.97/66.15 (step @p750 :rule trans :premises (@p749 @p745)) % 65.97/66.15 (step @p751 :rule nary_cong :premises (@p551 @p750) :args ((or @t741 @t807))) % 65.97/66.15 (step @p752 :rule trans :premises (@p751 @p725)) % 65.97/66.15 (step @p753 :rule refl :args (@t807)) % 65.97/66.15 (step @p754 :rule nary_cong :premises (@p555 @p753) :args ((or @t753 @t807))) % 65.97/66.15 (step @p755 :rule bool-impl-elim :args (@t752 @t807)) % 65.97/66.15 (step @p756 :rule trans :premises (@p755 @p754)) % 65.97/66.15 (step @p757 :rule trans :premises (@p756 @p752)) % 65.97/66.15 (step @p758 :rule nary_cong :premises (@p560 @p757) :args ((or @t742 @t808))) % 65.97/66.15 (step @p759 :rule trans :premises (@p758 @p724)) % 65.97/66.15 (step @p760 :rule refl :args (@t808)) % 65.97/66.15 (step @p761 :rule nary_cong :premises (@p564 @p760) :args ((or @t756 @t808))) % 65.97/66.15 (step @p762 :rule bool-impl-elim :args (@t755 @t808)) % 65.97/66.15 (step @p763 :rule trans :premises (@p762 @p761)) % 65.97/66.15 (step @p764 :rule trans :premises (@p763 @p759)) % 65.97/66.15 (step @p765 :rule nary_cong :premises (@p569 @p764) :args ((or @t707 @t809))) % 65.97/66.15 (step @p766 :rule trans :premises (@p765 @p723)) % 65.97/66.15 (step @p767 :rule refl :args (@t809)) % 65.97/66.15 (step @p768 :rule nary_cong :premises (@p573 @p767) :args ((or @t759 @t809))) % 65.97/66.15 (step @p769 :rule bool-impl-elim :args (@t758 @t809)) % 65.97/66.15 (step @p770 :rule trans :premises (@p769 @p768)) % 65.97/66.15 (step @p771 :rule trans :premises (@p770 @p766)) % 65.97/66.15 (step @p772 :rule cong :premises (@p771) :args ((forall @t104 (=> @t758 @t809)))) % 65.97/66.15 (step @p773 :rule refl :args (@t137)) % 65.97/66.15 (step @p774 :rule cong :premises (@p581 @p773) :args (@t138)) % 65.97/66.15 (step @p775 :rule cong :premises (@p584 @p774) :args (@t139)) % 65.97/66.15 (step @p776 :rule cong :premises (@p587 @p775) :args (@t140)) % 65.97/66.15 (step @p777 :rule cong :premises (@p590 @p776) :args (@t141)) % 65.97/66.15 (step @p778 :rule cong :premises (@p777) :args (@t142)) % 65.97/66.15 (step @p779 :rule trans :premises (@p778 @p772)) % 65.97/66.15 (step @p780 :rule eq_resolve :premises (@p26 @p779)) % 65.97/66.15 (step @p781 :rule refl :args (@t733)) % 65.97/66.15 (step @p782 :rule refl :args (@t810)) % 65.97/66.15 (step @p783 :rule nary_cong :premises (@p601 @p600 @p600 @p599 @p598 @p597 @p596 @p782 @p781) :args (@t811)) % 65.97/66.15 (step @p784 :rule refl :args (@t812)) % 65.97/66.15 (step @p785 :rule cong :premises (@p784 @p783) :args ((=> @t812 @t811))) % 65.97/66.15 (assume-push @p840 @t812) % 65.97/66.15 (step @p787 :rule instantiate :premises (@p780) :args (@t768)) % 65.97/66.15 (step-pop @p841 :rule scope :premises (@p787)) % 65.97/66.15 (step @p788 :rule process_scope :premises (@p841) :args (@t811)) % 65.97/66.15 (step @p790 :rule eq_resolve :premises (@p788 @p785)) % 65.97/66.15 (step @p791 :rule implies_elim :premises (@p790)) % 65.97/66.15 (step @p792 :rule chain_m_resolution :premises (@p791 @p780) :args (@t813 @t770 (@list @t812))) % 65.97/66.15 (step @p793 :rule cnf_or_pos :args (@t813)) % 65.97/66.15 (step @p794 :rule factoring :premises (@p793)) % 65.97/66.15 (step @p795 :rule reordering :premises (@p794) :args ((or @t11 @t733 @t764 @t763 @t762 @t810 @t761 (not @t813)))) % 65.97/66.15 (step @p796 :rule chain_m_resolution :premises (@p795 @p792 @p715 @p15 @p8 @p717 @p716 @p722) :args (@t810 (@list false false false false true true true) (@list @t813 @t760 @t76 @t25 @t11 @t764 @t733))) % 65.97/66.15 (step @p797 :rule not_equiv_elim1 :premises (@p523)) % 65.97/66.15 (step @p798 :rule chain_m_resolution :premises (@p797 @p796) :args (@t733 (@list true) (@list @t734))) % 65.97/66.15 (step @p799 :rule cnf_equiv_pos2 :args (@t735)) % 65.97/66.15 (step @p800 :rule reordering :premises (@p799) :args ((or @t734 @t736 (not @t733)))) % 65.97/66.15 (step @p801 false :rule chain_m_resolution :premises (@p800 @p798 @p796 @p721) :args (false (@list false true false) (@list @t733 @t734 @t735))) % 65.97/66.15 ) % 65.97/66.15 % SZS output end Proof % 65.97/66.15 % cvc5 exiting %------------------------------------------------------------------------------