TSTP Solution File: ANA034-10 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA034-10 : TPTP v8.1.2. Released v7.3.0.
% 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 17:14:39 EDT 2023

% Result   : Unsatisfiable 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ANA034-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri Aug 25 18:27:29 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bTISlhiwk1/cvc5---1.0.5_24657.p...
% 0.22/0.49  ------- get file name : TPTP file name is ANA034-10
% 0.22/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24657.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53  % SZS status Unsatisfiable for ANA034-10
% 0.22/0.53  % SZS output start Proof for ANA034-10
% 0.22/0.53  (
% 0.22/0.53  (let ((_let_1 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_OrderedGroup_Olordered__ab__group__abs T) tptp.true) tptp.true)))) (let ((_let_2 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_Ring__and__Field_Opordered__semiring T) tptp.true) tptp.true)))) (let ((_let_3 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_Ring__and__Field_Opordered__cancel__semiring T) tptp.true) tptp.true)))) (let ((_let_4 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_OrderedGroup_Olordered__ab__group__abs T) tptp.true (tptp.class_Orderings_Oorder T) tptp.true) tptp.true)))) (let ((_let_5 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_6 (= _let_5 tptp.true))) (let ((_let_7 (tptp.v_g tptp.v_x))) (let ((_let_8 (tptp.v_f tptp.v_x))) (let ((_let_9 (tptp.c_times (tptp.c_times tptp.v_c tptp.v_ca tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_times _let_8 _let_7 tptp.t_b) tptp.t_b) tptp.t_b))) (let ((_let_10 (tptp.v_b tptp.v_x))) (let ((_let_11 (tptp.v_a tptp.v_x))) (let ((_let_12 (tptp.c_HOL_Oabs (tptp.c_times _let_11 _let_10 tptp.t_b) tptp.t_b))) (let ((_let_13 (tptp.c_lessequals _let_12 _let_9 tptp.t_b))) (let ((_let_14 (not (= _let_13 tptp.true)))) (let ((_let_15 (tptp.c_times tptp.v_ca (tptp.c_HOL_Oabs _let_7 tptp.t_b) tptp.t_b))) (let ((_let_16 (tptp.c_HOL_Oabs _let_8 tptp.t_b))) (let ((_let_17 (tptp.c_times tptp.v_c _let_16 tptp.t_b))) (let ((_let_18 (tptp.c_times _let_17 _let_15 tptp.t_b))) (let ((_let_19 (= _let_9 _let_18))) (let ((_let_20 (tptp.c_HOL_Oabs _let_10 tptp.t_b))) (let ((_let_21 (tptp.c_lessequals _let_20 _let_15 tptp.t_b))) (let ((_let_22 (= _let_21 tptp.true))) (let ((_let_23 (tptp.c_HOL_Oabs _let_11 tptp.t_b))) (let ((_let_24 (tptp.c_lessequals _let_23 _let_17 tptp.t_b))) (let ((_let_25 (= _let_24 tptp.true))) (let ((_let_26 (tptp.c_less tptp.c_0 tptp.v_c tptp.t_b))) (let ((_let_27 (= _let_26 tptp.true))) (let ((_let_28 (forall ((T_a $$unsorted) (V_a $$unsorted)) (= (tptp.ifeq (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a) tptp.true (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a) tptp.true) tptp.true)))) (let ((_let_29 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= (tptp.ifeq (tptp.c_less V_x V_y T_a) tptp.true (tptp.ifeq (tptp.class_Orderings_Oorder T_a) tptp.true (tptp.c_lessequals V_x V_y T_a) tptp.true) tptp.true) tptp.true)))) (let ((_let_30 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= (tptp.ifeq (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a) tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_a T_a) tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_b T_a) tptp.true (tptp.c_lessequals tptp.c_0 (tptp.c_times V_a V_b T_a) T_a) tptp.true) tptp.true) tptp.true) tptp.true)))) (let ((_let_31 (forall ((V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_d $$unsorted)) (= (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_b T_a) tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_c T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_a V_b T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_c V_d T_a) tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Opordered__semiring T_a) tptp.true (tptp.c_lessequals (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_d T_a) T_a) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)))) (let ((_let_32 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oabs (tptp.c_times V_a V_b T_a) T_a))) (= (tptp.ifeq2 (tptp.class_Ring__and__Field_Oordered__idom T_a) tptp.true (tptp.c_times (tptp.c_HOL_Oabs V_a T_a) (tptp.c_HOL_Oabs V_b T_a) T_a) _let_1) _let_1))))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)))) (let ((_let_35 (= tptp.true _let_26))) (let ((_let_36 (= tptp.true _let_24))) (let ((_let_37 (= tptp.true _let_21))) (let ((_let_38 (= tptp.true _let_13))) (let ((_let_39 (= tptp.true _let_5))) (let ((_let_40 (tptp.c_times _let_23 _let_20 tptp.t_b))) (let ((_let_41 (= _let_12 (tptp.ifeq2 _let_5 tptp.true _let_40 _let_12)))) (let ((_let_42 (tptp.c_lessequals tptp.c_0 _let_17 tptp.t_b))) (let ((_let_43 (tptp.c_lessequals tptp.c_0 _let_16 tptp.t_b))) (let ((_let_44 (tptp.c_lessequals tptp.c_0 tptp.v_c tptp.t_b))) (let ((_let_45 (tptp.ifeq _let_44 tptp.true (tptp.ifeq _let_43 tptp.true _let_42 tptp.true) tptp.true))) (let ((_let_46 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.t_b))) (let ((_let_47 (= tptp.true (tptp.ifeq _let_46 tptp.true _let_45 tptp.true)))) (let ((_let_48 (tptp.class_Orderings_Oorder tptp.t_b))) (let ((_let_49 (tptp.ifeq _let_48 tptp.true _let_44 tptp.true))) (let ((_let_50 (= tptp.true (tptp.ifeq _let_26 tptp.true _let_49 tptp.true)))) (let ((_let_51 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_52 (= tptp.true (tptp.ifeq _let_51 tptp.true _let_43 tptp.true)))) (let ((_let_53 (tptp.c_lessequals tptp.c_0 _let_20 tptp.t_b))) (let ((_let_54 (= tptp.true (tptp.ifeq _let_51 tptp.true _let_53 tptp.true)))) (let ((_let_55 (= tptp.true (tptp.ifeq _let_5 tptp.true _let_46 tptp.true)))) (let ((_let_56 (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b))) (let ((_let_57 (= tptp.true (tptp.ifeq _let_5 tptp.true _let_56 tptp.true)))) (let ((_let_58 (= tptp.true (tptp.ifeq _let_5 tptp.true _let_51 tptp.true)))) (let ((_let_59 (= _let_40 (tptp.ifeq2 tptp.true tptp.true _let_40 _let_12)))) (let ((_let_60 (= _let_46 (tptp.ifeq tptp.true tptp.true _let_46 tptp.true)))) (let ((_let_61 (= _let_49 (tptp.ifeq tptp.true tptp.true _let_49 tptp.true)))) (let ((_let_62 (= _let_51 (tptp.ifeq tptp.true tptp.true _let_51 tptp.true)))) (let ((_let_63 (= _let_56 (tptp.ifeq tptp.true tptp.true _let_56 tptp.true)))) (let ((_let_64 (= tptp.true (tptp.ifeq _let_51 tptp.true _let_48 tptp.true)))) (let ((_let_65 (= _let_43 (tptp.ifeq tptp.true tptp.true _let_43 tptp.true)))) (let ((_let_66 (= _let_45 (tptp.ifeq tptp.true tptp.true _let_45 tptp.true)))) (let ((_let_67 (= _let_48 (tptp.ifeq tptp.true tptp.true _let_48 tptp.true)))) (let ((_let_68 (= _let_53 (tptp.ifeq tptp.true tptp.true _let_53 tptp.true)))) (let ((_let_69 (= _let_44 (tptp.ifeq tptp.true tptp.true _let_44 tptp.true)))) (let ((_let_70 (= _let_42 (tptp.ifeq tptp.true tptp.true _let_42 tptp.true)))) (let ((_let_71 (= _let_13 (tptp.ifeq tptp.true tptp.true _let_13 tptp.true)))) (let ((_let_72 (= tptp.true (tptp.ifeq _let_42 tptp.true (tptp.ifeq _let_53 tptp.true (tptp.ifeq _let_24 tptp.true (tptp.ifeq _let_21 tptp.true (tptp.ifeq _let_56 tptp.true (tptp.c_lessequals _let_40 _let_18 tptp.t_b) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true)))) (let ((_let_73 (SYMM (ASSUME :args (_let_27))))) (let ((_let_74 (SYMM (ASSUME :args (_let_25))))) (let ((_let_75 (SYMM (ASSUME :args (_let_22))))) (let ((_let_76 (ASSUME :args (_let_19)))) (let ((_let_77 (SYMM (ASSUME :args (_let_14))))) (let ((_let_78 (SYMM (ASSUME :args (_let_6))))) (let ((_let_79 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (let ((_let_1 (tptp.c_HOL_Oabs (tptp.c_times V_a V_b T_a) T_a))) (= _let_1 (tptp.ifeq2 (tptp.class_Ring__and__Field_Oordered__idom T_a) tptp.true (tptp.c_times (tptp.c_HOL_Oabs V_a T_a) (tptp.c_HOL_Oabs V_b T_a) T_a) _let_1)))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a) tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_a T_a) tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_b T_a) tptp.true (tptp.c_lessequals tptp.c_0 (tptp.c_times V_a V_b T_a) T_a) tptp.true) tptp.true) tptp.true))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (forall ((V_x $$unsorted) (V_y $$unsorted) (T_a $$unsorted)) (= tptp.true (tptp.ifeq (tptp.c_less V_x V_y T_a) tptp.true (tptp.ifeq (tptp.class_Orderings_Oorder T_a) tptp.true (tptp.c_lessequals V_x V_y T_a) tptp.true) tptp.true))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (forall ((T_a $$unsorted) (V_a $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a) tptp.true (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a) tptp.true))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (_let_85))) (let ((_let_88 ((tptp.c_HOL_Oabs V_a T_a)))) (let ((_let_89 (forall ((T $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_Ring__and__Field_Opordered__cancel__semiring T) tptp.true))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (forall ((T $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_Ring__and__Field_Opordered__semiring T) tptp.true))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (forall ((T $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_OrderedGroup_Olordered__ab__group__abs T) tptp.true))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq2 A A B C))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_97))) (let ((_let_100 ((tptp.ifeq A A B C)))) (let ((_let_101 (forall ((T $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_OrderedGroup_Olordered__ab__group__abs T) tptp.true (tptp.class_Orderings_Oorder T) tptp.true))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (forall ((V_b $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_a $$unsorted) (V_d $$unsorted)) (= tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_b T_a) tptp.true (tptp.ifeq (tptp.c_lessequals tptp.c_0 V_c T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_a V_b T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_c V_d T_a) tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Opordered__semiring T_a) tptp.true (tptp.c_lessequals (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_d T_a) T_a) tptp.true) tptp.true) tptp.true) tptp.true) tptp.true))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (not _let_72))) (let ((_let_106 (not _let_71))) (let ((_let_107 (not _let_70))) (let ((_let_108 (not _let_69))) (let ((_let_109 (not _let_68))) (let ((_let_110 (not _let_67))) (let ((_let_111 (not _let_66))) (let ((_let_112 (not _let_65))) (let ((_let_113 (not _let_64))) (let ((_let_114 (not _let_63))) (let ((_let_115 (not _let_62))) (let ((_let_116 (not _let_61))) (let ((_let_117 (not _let_60))) (let ((_let_118 (not _let_59))) (let ((_let_119 (not _let_58))) (let ((_let_120 (not _let_57))) (let ((_let_121 (not _let_55))) (let ((_let_122 (not _let_54))) (let ((_let_123 (not _let_52))) (let ((_let_124 (not _let_50))) (let ((_let_125 (not _let_47))) (let ((_let_126 (not _let_41))) (let ((_let_127 (not _let_39))) (let ((_let_128 (not _let_19))) (let ((_let_129 (not _let_37))) (let ((_let_130 (not _let_36))) (let ((_let_131 (not _let_35))) (let ((_let_132 (not _let_38))) (let ((_let_133 (and _let_19 _let_35 _let_36 _let_37 _let_132 _let_39 _let_41 _let_47 _let_50 _let_52 _let_54 _let_55 _let_57 _let_58 _let_59 _let_60 _let_61 _let_62 _let_63 _let_64 _let_65 _let_66 _let_67 _let_68 _let_69 _let_70 _let_71))) (let ((_let_134 (ASSUME :args (_let_71)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (APPLY_UF tptp.ifeq))) (let ((_let_137 (REFL :args (tptp.true)))) (let ((_let_138 (SYMM _let_73))) (let ((_let_139 (ASSUME :args (_let_64)))) (let ((_let_140 (ASSUME :args (_let_62)))) (let ((_let_141 (SYMM _let_78))) (let ((_let_142 (ASSUME :args (_let_58)))) (let ((_let_143 (TRANS _let_73 (TRANS _let_138 (SYMM (SYMM _let_142)) (CONG _let_141 _let_137 (REFL :args (_let_51)) _let_137 :args _let_136) (SYMM _let_140))))) (let ((_let_144 (ASSUME :args (_let_67)))) (let ((_let_145 (TRANS (SYMM (SYMM _let_144)) (CONG _let_143 _let_137 (REFL :args (_let_48)) _let_137 :args _let_136) (SYMM _let_139) _let_73))) (let ((_let_146 (TRANS _let_145 _let_138))) (let ((_let_147 (CONG _let_146 _let_137 (REFL :args (_let_13)) _let_137 :args _let_136))) (let ((_let_148 (APPLY_UF tptp.c_lessequals))) (let ((_let_149 (REFL :args (tptp.t_b)))) (let ((_let_150 (ASSUME :args (_let_41)))) (let ((_let_151 (SYMM _let_141))) (let ((_let_152 (ASSUME :args (_let_59)))) (let ((_let_153 (TRANS (SYMM (SYMM _let_152)) (CONG _let_151 _let_137 (REFL :args (_let_40)) (REFL :args (_let_12)) :args (APPLY_UF tptp.ifeq2)) (SYMM _let_150)))) (let ((_let_154 (CONG _let_153 (REFL :args (_let_9)) _let_149 :args _let_148))) (let ((_let_155 (SYMM _let_145))) (let ((_let_156 (ASSUME :args (_let_57)))) (let ((_let_157 (ASSUME :args (_let_63)))) (let ((_let_158 (CONG (TRANS (TRANS (SYMM (SYMM _let_157)) (CONG _let_151 _let_137 (REFL :args (_let_56)) _let_137 :args _let_136) (SYMM _let_156) _let_73) _let_155) _let_137 (CONG _let_153 (SYMM _let_76) _let_149 :args _let_148) _let_137 :args _let_136))) (let ((_let_159 (TRANS _let_158 _let_147 _let_135 (SYMM _let_154)))) (let ((_let_160 (SYMM _let_158))) (let ((_let_161 (ASSUME :args (_let_54)))) (let ((_let_162 (ASSUME :args (_let_68)))) (let ((_let_163 (ASSUME :args (_let_47)))) (let ((_let_164 (ASSUME :args (_let_55)))) (let ((_let_165 (ASSUME :args (_let_60)))) (let ((_let_166 (ASSUME :args (_let_66)))) (let ((_let_167 (REFL :args (_let_42)))) (let ((_let_168 (ASSUME :args (_let_65)))) (let ((_let_169 (ASSUME :args (_let_52)))) (let ((_let_170 (CONG (SYMM _let_146) _let_137 _let_167 _let_137 :args _let_136))) (let ((_let_171 (ASSUME :args (_let_70)))) (let ((_let_172 (SYMM (SYMM _let_171)))) (let ((_let_173 (ASSUME :args (_let_69)))) (let ((_let_174 (ASSUME :args (_let_61)))) (let ((_let_175 (ASSUME :args (_let_50)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_133)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_77 _let_134 _let_73 _let_164 _let_78 _let_165 _let_156 _let_157 _let_150 _let_152 _let_139 _let_140 _let_142 _let_144 _let_75 _let_76 _let_163 _let_166 _let_173 _let_174 _let_175 _let_168 _let_169 _let_171 _let_161 _let_162 _let_74) (SCOPE (FALSE_ELIM (TRANS (CONG _let_137 (TRANS (CONG (TRANS (TRANS _let_172 _let_170 (CONG (TRANS _let_145 (TRANS _let_138 (SYMM (SYMM _let_175)) (CONG _let_138 _let_137 (REFL :args (_let_49)) _let_137 :args _let_136) (SYMM _let_174) (CONG _let_146 _let_137 (REFL :args (_let_44)) _let_137 :args _let_136) (SYMM _let_173))) _let_137 (TRANS _let_172 _let_170 (CONG (TRANS _let_145 (TRANS _let_138 (SYMM (SYMM _let_169)) (CONG (SYMM _let_143) _let_137 (REFL :args (_let_43)) _let_137 :args _let_136) (SYMM _let_168))) _let_137 _let_167 _let_137 :args _let_136)) _let_137 :args _let_136) (SYMM (SYMM _let_166)) (CONG (TRANS _let_73 (SYMM (TRANS (SYMM (SYMM _let_165)) (CONG _let_151 _let_137 (REFL :args (_let_46)) _let_137 :args _let_136) (SYMM _let_164) _let_73))) _let_137 (REFL :args (_let_45)) _let_137 :args _let_136) (SYMM _let_163) _let_73) _let_155) _let_137 (TRANS (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_162)) (CONG _let_143 _let_137 (REFL :args (_let_53)) _let_137 :args _let_136) (SYMM _let_161) _let_73) _let_155) _let_137 (TRANS (TRANS (CONG (TRANS (TRANS (SYMM _let_74) _let_73) _let_155) _let_137 (TRANS (TRANS (CONG (TRANS (TRANS (SYMM _let_75) _let_73) _let_155) _let_137 (TRANS _let_159 _let_154) _let_137 :args _let_136) _let_160) _let_159 _let_154) _let_137 :args _let_136) _let_160) _let_159 _let_154) _let_137 :args _let_136) _let_160) _let_159 _let_154) _let_137 :args _let_136) _let_147 _let_135) :args (=)) (FALSE_INTRO _let_77))) :args (_let_132 _let_71 _let_35 _let_55 _let_39 _let_60 _let_57 _let_63 _let_41 _let_59 _let_64 _let_62 _let_58 _let_67 _let_37 _let_19 _let_47 _let_66 _let_69 _let_61 _let_50 _let_65 _let_52 _let_70 _let_54 _let_68 _let_36))) :args (_let_19 _let_35 _let_36 _let_37 _let_132 _let_39 _let_41 _let_47 _let_50 _let_52 _let_54 _let_55 _let_57 _let_58 _let_59 _let_60 _let_61 _let_62 _let_63 _let_64 _let_65 _let_66 _let_67 _let_68 _let_69 _let_70 _let_71))) :args (true _let_133)) (CONG (REFL :args (_let_128)) (REFL :args (_let_131)) (REFL :args (_let_130)) (REFL :args (_let_129)) (MACRO_SR_PRED_INTRO :args ((= (not _let_132) _let_38))) (REFL :args (_let_127)) (REFL :args (_let_126)) (REFL :args (_let_125)) (REFL :args (_let_124)) (REFL :args (_let_123)) (REFL :args (_let_122)) (REFL :args (_let_121)) (REFL :args (_let_120)) (REFL :args (_let_119)) (REFL :args (_let_118)) (REFL :args (_let_117)) (REFL :args (_let_116)) (REFL :args (_let_115)) (REFL :args (_let_114)) (REFL :args (_let_113)) (REFL :args (_let_112)) (REFL :args (_let_111)) (REFL :args (_let_110)) (REFL :args (_let_109)) (REFL :args (_let_108)) (REFL :args (_let_107)) (REFL :args (_let_106)) (REFL :args (_let_105)) :args (or))) :args ((or _let_38 _let_131 _let_130 _let_129 _let_128 _let_127 _let_126 _let_125 _let_124 _let_123 _let_122 _let_121 _let_120 _let_119 _let_118 _let_117 _let_116 _let_115 _let_114 _let_113 _let_112 _let_111 _let_110 _let_109 _let_108 _let_107 _let_106 _let_105))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_17 tptp.t_b _let_20 _let_23 _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.c_lessequals (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_d T_a) T_a)))) :args (_let_103))) _let_104 :args (_let_72 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_13 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_71 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_42 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_70 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_44 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_69 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_53 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_68 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_48 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_67 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_45 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_66 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_43 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_65 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.class_OrderedGroup_Olordered__ab__group__abs T)))) :args (_let_101))) _let_102 :args (_let_64 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_56 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_63 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_51 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_62 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_49 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_61 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (tptp.true _let_46 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_99)) _let_98 :args (_let_60 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.true _let_40 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ifeq2 A A B C)))) :args (_let_95))) _let_96 :args (_let_59 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.class_Ring__and__Field_Oordered__idom T)))) :args (_let_93))) _let_94 :args (_let_58 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.class_Ring__and__Field_Oordered__idom T)))) :args (_let_91))) _let_92 :args (_let_57 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.class_Ring__and__Field_Oordered__idom T)))) :args (_let_89))) _let_90 :args (_let_55 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.t_b _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_54 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.t_b _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_87)) _let_86 :args (_let_52 false _let_85)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.c_0 tptp.v_c tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_less V_x V_y T_a)))) :args (_let_83))) _let_84 :args (_let_50 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.t_b tptp.v_c _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_times V_a V_b T_a)))) :args (_let_81))) _let_82 :args (_let_47 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.t_b _let_11 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oabs (tptp.c_times V_a V_b T_a) T_a)))) :args (_let_79))) _let_80 :args (_let_41 false _let_79)) _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 :args (false false _let_72 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 false _let_58 false _let_57 false _let_55 false _let_54 false _let_52 false _let_50 false _let_47 false _let_41 false _let_39 true _let_38 false _let_19 false _let_37 false _let_36 false _let_35)) :args (_let_34 _let_33 _let_32 _let_31 _let_30 _let_29 _let_28 _let_27 _let_25 _let_22 _let_19 _let_14 _let_6 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.53  )
% 0.22/0.53  % SZS output end Proof for ANA034-10
% 0.22/0.54  % cvc5---1.0.5 exiting
% 0.22/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------