TSTP Solution File: ANA026-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA026-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 Aug 30 17:14:35 EDT 2023
% Result : Unsatisfiable 0.75s 0.90s
% Output : Proof 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA026-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.34 % Computer : n018.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Fri Aug 25 18:35:29 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iglY9sXQsf/cvc5---1.0.5_4836.p...
% 0.21/0.49 ------- get file name : TPTP file name is ANA026-2
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4836.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.75/0.90 % SZS status Unsatisfiable for ANA026-2
% 0.75/0.90 % SZS output start Proof for ANA026-2
% 0.75/0.91 (
% 0.75/0.91 (let ((_let_1 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__group__add T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_LOrder_Ojoin__semilorder T))))) (let ((_let_4 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))))) (let ((_let_5 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Ocomm__monoid__add T))))) (let ((_let_6 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T))))) (let ((_let_7 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))) (let ((_let_8 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))) (let ((_let_9 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))))) (let ((_let_10 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))) (let ((_let_11 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))))) (let ((_let_12 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (tptp.c_less V_y V_x T_a) (tptp.c_lessequals V_x V_y T_a))))) (let ((_let_13 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_uminus (tptp.c_minus V_a V_b T_a) T_a) (tptp.c_minus V_b V_a T_a)))))) (let ((_let_14 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a (tptp.c_plus V_c V_b T_a) T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a))))) (let ((_let_15 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus (tptp.c_plus V_c V_b T_a) V_b T_a) V_c))))) (let ((_let_16 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= (tptp.c_plus tptp.c_0 V_y T_a) V_y))))) (let ((_let_17 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_plus V_c V_a T_a) (tptp.c_plus V_c V_b T_a) T_a))))) (let ((_let_18 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (not (tptp.c_lessequals V_a tptp.c_0 T_a)) (= (tptp.c_HOL_Oabs V_a T_a) (tptp.c_uminus V_a T_a)))))) (let ((_let_19 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (= (tptp.c_HOL_Oabs (tptp.c_uminus V_a T_a) T_a) (tptp.c_HOL_Oabs V_a T_a)))))) (let ((_let_20 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))))) (let ((_let_21 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_b T_a) (tptp.c_plus V_a (tptp.c_uminus V_b T_a) T_a)))))) (let ((_let_22 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_23 (tptp.v_g tptp.v_x))) (let ((_let_24 (tptp.v_f tptp.v_x))) (let ((_let_25 (tptp.c_minus _let_24 _let_23 tptp.t_b))) (let ((_let_26 (tptp.c_HOL_Oabs _let_25 tptp.t_b))) (let ((_let_27 (tptp.v_k tptp.v_x))) (let ((_let_28 (tptp.c_minus _let_24 _let_27 tptp.t_b))) (let ((_let_29 (tptp.c_lessequals (tptp.c_Orderings_Omax _let_28 tptp.c_0 tptp.t_b) _let_26 tptp.t_b))) (let ((_let_30 (not _let_29))) (let ((_let_31 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.v_g V_U) (tptp.v_k V_U) tptp.t_b)))) (let ((_let_32 (tptp.c_plus tptp.c_0 _let_24 tptp.t_b))) (let ((_let_33 (= _let_24 _let_32))) (let ((_let_34 (tptp.c_plus tptp.c_0 _let_27 tptp.t_b))) (let ((_let_35 (= _let_27 _let_34))) (let ((_let_36 (tptp.c_less _let_32 _let_27 tptp.t_b))) (let ((_let_37 (tptp.c_less _let_24 _let_34 tptp.t_b))) (let ((_let_38 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_33))) (let ((_let_41 (forall ((T_a $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add T_a)) (= V_y (tptp.c_plus tptp.c_0 V_y T_a)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.c_plus tptp.c_0 V_y T_a)))) (let ((_let_45 (not _let_22))) (let ((_let_46 (or _let_45 _let_38))) (let ((_let_47 (_let_5))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (ASSUME :args (_let_22)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_38 (not _let_46)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_5)) :args (_let_38 false _let_22 false _let_46)))) (let ((_let_51 (or _let_39 _let_35))) (let ((_let_52 (tptp.c_lessequals _let_27 _let_32 tptp.t_b))) (let ((_let_53 (tptp.class_Orderings_Olinorder tptp.t_b))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_36 _let_52))) (let ((_let_56 (_let_12))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (tptp.c_lessequals _let_23 _let_32 tptp.t_b))) (let ((_let_59 (tptp.c_lessequals _let_23 _let_27 tptp.t_b))) (let ((_let_60 (not _let_59))) (let ((_let_61 (not _let_52))) (let ((_let_62 (tptp.class_Orderings_Oorder tptp.t_b))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61 _let_60 _let_58))) (let ((_let_65 (_let_10))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 ((not (= (tptp.c_lessequals V_y V_z T_a) false)) (not (= (tptp.c_lessequals V_x V_z T_a) true))))) (let ((_let_68 (tptp.c_minus _let_23 _let_24 tptp.t_b))) (let ((_let_69 (tptp.c_lessequals _let_68 tptp.c_0 tptp.t_b))) (let ((_let_70 (not _let_58))) (let ((_let_71 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_72 _let_70 _let_69))) (let ((_let_74 (_let_14))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((not (= (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) V_c T_a) true))))) (let ((_let_77 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_71))) (let ((_let_80 (_let_7))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (or _let_45 _let_77))) (let ((_let_83 (_let_1))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_45 _let_77 (not _let_82)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_83)) _let_84 :args (_let_82 false _let_1)) :args (_let_77 false _let_22 false _let_82)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_71 (not _let_79)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_OrderedGroup_Olordered__ab__group__abs T) false))))) :args _let_80)) _let_81 :args (_let_79 false _let_7)) :args (_let_71 false _let_77 false _let_79)))) (let ((_let_87 (tptp.c_uminus _let_68 tptp.t_b))) (let ((_let_88 (= _let_87 (tptp.c_HOL_Oabs _let_68 tptp.t_b)))) (let ((_let_89 (not _let_69))) (let ((_let_90 (or _let_78 _let_89 _let_88))) (let ((_let_91 (_let_18))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (tptp.c_uminus _let_23 tptp.t_b))) (let ((_let_94 (tptp.c_plus _let_24 _let_93 tptp.t_b))) (let ((_let_95 (tptp.c_uminus _let_93 tptp.t_b))) (let ((_let_96 (tptp.c_plus _let_94 _let_95 tptp.t_b))) (let ((_let_97 (tptp.c_lessequals _let_96 (tptp.c_plus _let_94 _let_27 tptp.t_b) tptp.t_b))) (let ((_let_98 (tptp.c_uminus _let_24 tptp.t_b))) (let ((_let_99 (= _let_27 (tptp.c_minus (tptp.c_plus _let_27 _let_98 tptp.t_b) _let_98 tptp.t_b)))) (let ((_let_100 (tptp.c_minus _let_94 _let_93 tptp.t_b))) (let ((_let_101 (= _let_100 _let_96))) (let ((_let_102 (= _let_24 _let_100))) (let ((_let_103 (tptp.c_uminus _let_25 tptp.t_b))) (let ((_let_104 (= _let_26 (tptp.c_HOL_Oabs _let_103 tptp.t_b)))) (let ((_let_105 (tptp.c_plus _let_26 _let_27 tptp.t_b))) (let ((_let_106 (tptp.c_lessequals _let_24 _let_105 tptp.t_b))) (let ((_let_107 (= _let_25 _let_87))) (let ((_let_108 (= _let_103 _let_68))) (let ((_let_109 (= _let_25 _let_94))) (let ((_let_110 (not _let_88))) (let ((_let_111 (tptp.c_lessequals _let_95 _let_27 tptp.t_b))) (let ((_let_112 (not _let_111))) (let ((_let_113 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.t_b))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_112 _let_97))) (let ((_let_116 (_let_17))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (tptp.c_plus _let_23 _let_98 tptp.t_b))) (let ((_let_119 (tptp.c_minus _let_98 _let_118 tptp.t_b))) (let ((_let_120 (tptp.c_minus _let_118 _let_98 tptp.t_b))) (let ((_let_121 (= _let_120 (tptp.c_uminus _let_119 tptp.t_b)))) (let ((_let_122 (= (tptp.c_uminus _let_120 tptp.t_b) _let_119))) (let ((_let_123 (= _let_23 _let_120))) (let ((_let_124 (tptp.class_OrderedGroup_Oab__group__add tptp.t_b))) (let ((_let_125 (not _let_124))) (let ((_let_126 (or _let_125 _let_121))) (let ((_let_127 (_let_13))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 ((tptp.c_minus V_b V_a T_a)))) (let ((_let_130 (or _let_45 _let_124))) (let ((_let_131 (_let_2))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_45 _let_124 (not _let_130)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_131)) _let_132 :args (_let_130 false _let_2)) :args (_let_124 false _let_22 false _let_130)))) (let ((_let_134 (or _let_125 _let_122))) (let ((_let_135 ((tptp.c_minus V_a V_b T_a)))) (let ((_let_136 (or _let_125 _let_123))) (let ((_let_137 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= V_c (tptp.c_minus (tptp.c_plus V_c V_b T_a) V_b T_a)))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 ((tptp.c_plus V_c V_b T_a)))) (let ((_let_141 (_let_31))) (let ((_let_142 (ASSUME :args _let_141))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_g V_U)))) :args _let_141)) _let_142 :args (_let_59 false _let_31)))) (let ((_let_144 (and _let_59 _let_123 _let_122 _let_121))) (let ((_let_145 (ASSUME :args (_let_59)))) (let ((_let_146 (APPLY_UF tptp.c_lessequals))) (let ((_let_147 (REFL :args (tptp.t_b)))) (let ((_let_148 (ASSUME :args (_let_123)))) (let ((_let_149 (ASSUME :args (_let_121)))) (let ((_let_150 (APPLY_UF tptp.c_uminus))) (let ((_let_151 (ASSUME :args (_let_122)))) (let ((_let_152 (or _let_78 _let_113))) (let ((_let_153 (_let_6))) (let ((_let_154 (ASSUME :args _let_153))) (let ((_let_155 (or _let_125 _let_99))) (let ((_let_156 (or _let_125 _let_101))) (let ((_let_157 (_let_21))) (let ((_let_158 (ASSUME :args _let_157))) (let ((_let_159 ((tptp.c_minus V_a V_b T_a)))) (let ((_let_160 (or _let_125 _let_102))) (let ((_let_161 (or _let_78 _let_104))) (let ((_let_162 (_let_19))) (let ((_let_163 (ASSUME :args _let_162))) (let ((_let_164 (tptp.c_lessequals _let_28 _let_26 tptp.t_b))) (let ((_let_165 (not _let_106))) (let ((_let_166 (or _let_72 _let_165 _let_164))) (let ((_let_167 (not _let_164))) (let ((_let_168 (tptp.c_lessequals tptp.c_0 _let_26 tptp.t_b))) (let ((_let_169 (not _let_168))) (let ((_let_170 (or _let_54 _let_169 _let_167 _let_29))) (let ((_let_171 (_let_11))) (let ((_let_172 (ASSUME :args _let_171))) (let ((_let_173 (or _let_78 _let_168))) (let ((_let_174 (_let_20))) (let ((_let_175 (ASSUME :args _let_174))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_173)) :args ((or _let_78 _let_168 (not _let_173)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (tptp.t_b _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_a T_a)))) :args _let_174)) _let_175 :args (_let_173 false _let_20)) :args (_let_168 false _let_77 false _let_173)))) (let ((_let_177 (or _let_45 _let_53))) (let ((_let_178 (_let_4))) (let ((_let_179 (ASSUME :args _let_178))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_177)) :args ((or _let_45 _let_53 (not _let_177)))) _let_49 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_179 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_178)) _let_179 :args (_let_177 false _let_4)) :args (_let_53 false _let_22 false _let_177)))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_29 _let_54 _let_169 _let_167 (not _let_170)))) (ASSUME :args (_let_30)) _let_180 _let_176 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (tptp.t_b tptp.c_0 _let_26 _let_28 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b) true))))) :args _let_171)) _let_172 :args (_let_170 false _let_11)) :args (_let_167 true _let_29 false _let_53 false _let_168 false _let_170)))) (let ((_let_182 (or _let_125 _let_107))) (let ((_let_183 (or _let_125 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_let_109 false _let_108 false _let_107 true _let_106 false _let_104 false _let_102 false _let_101 false _let_99 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.t_b _let_68 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_uminus V_a T_a)))) :args _let_91))) _let_92 :args (_let_90 false _let_18)) :args (_let_89 false _let_77 true _let_88 false _let_90)) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.t_b _let_23 tptp.c_0 _let_24 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_73 false _let_14)) :args (_let_70 true _let_69 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (tptp.t_b _let_27 _let_32 _let_23 QUANTIFIERS_INST_E_MATCHING _let_67)) :args _let_65)) _let_66 :args (_let_64 false _let_10)) :args (_let_61 false _let_62 false _let_59 true _let_58 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.t_b _let_32 _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_lessequals V_x V_y T_a) true))))) :args _let_56)) _let_57 :args (_let_55 false _let_12)) :args (_let_36 false _let_53 true _let_52 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_39 _let_35 (not _let_51)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.t_b _let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_51 false _let_41)) :args (_let_35 false _let_38 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_33 (not _let_40)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.t_b _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_40 false _let_41)) :args (_let_33 false _let_38 false _let_40)) :args (false true _let_37 false _let_36 false _let_35 false _let_33)) :args (_let_31 _let_30 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le T_a)) (not (tptp.c_lessequals (tptp.c_plus V_a V_c T_a) (tptp.c_plus V_b V_c T_a) T_a)) (tptp.c_lessequals V_a V_b T_a))) _let_16 _let_15 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus V_a (tptp.c_minus V_b V_c T_a) T_a) (tptp.c_minus (tptp.c_plus V_a V_b T_a) V_c T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_plus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus (tptp.c_plus V_a V_c T_a) V_b T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus (tptp.c_minus V_a V_b T_a) V_c T_a) (tptp.c_minus V_a (tptp.c_plus V_b V_c T_a) T_a)))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_less (tptp.c_minus V_a V_b T_a) V_c T_a)) (tptp.c_less V_a (tptp.c_plus V_c V_b T_a) T_a))) _let_14 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__group__add T_a)) (= (tptp.c_minus V_a V_a T_a) tptp.c_0))) _let_13 _let_12 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_a)) (not (tptp.c_less V_y V_x T_a)) (not (tptp.c_lessequals V_x V_y T_a)))) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.75/0.91 )
% 0.75/0.91 % SZS output end Proof for ANA026-2
% 0.75/0.92 % cvc5---1.0.5 exiting
% 0.75/0.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------