TSTP Solution File: ANA023-10 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 17:14:33 EDT 2023
% Result : Unsatisfiable 0.20s 0.56s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA023-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 19:04:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.gw5pLlluUM/cvc5---1.0.5_25111.p...
% 0.20/0.48 ------- get file name : TPTP file name is ANA023-10
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25111.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56 % SZS status Unsatisfiable for ANA023-10
% 0.20/0.56 % SZS output start Proof for ANA023-10
% 0.20/0.57 (
% 0.20/0.57 (let ((_let_1 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_2 (= _let_1 tptp.true))) (let ((_let_3 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_OrderedGroup_Opordered__ab__group__add T) tptp.true) tptp.true)))) (let ((_let_4 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_Orderings_Olinorder T) tptp.true) tptp.true)))) (let ((_let_5 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_Orderings_Olinorder T) tptp.true (tptp.class_Orderings_Oorder T) tptp.true) tptp.true)))) (let ((_let_6 (tptp.v_g tptp.v_x))) (let ((_let_7 (tptp.v_f tptp.v_x))) (let ((_let_8 (tptp.c_lessequals tptp.c_0 (tptp.c_minus _let_7 _let_6 tptp.t_b) tptp.t_b))) (let ((_let_9 (not (= _let_8 tptp.true)))) (let ((_let_10 (tptp.v_k tptp.v_x))) (let ((_let_11 (tptp.c_lessequals _let_10 _let_7 tptp.t_b))) (let ((_let_12 (= _let_11 tptp.true))) (let ((_let_13 (tptp.c_lessequals tptp.c_0 (tptp.c_minus _let_10 _let_6 tptp.t_b) tptp.t_b))) (let ((_let_14 (= _let_13 tptp.true))) (let ((_let_15 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= (tptp.ifeq (tptp.class_Orderings_Oorder T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_x V_y T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_y V_z T_a) tptp.true (tptp.c_lessequals V_x V_z T_a) tptp.true) tptp.true) tptp.true) tptp.true)))) (let ((_let_16 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (= (tptp.ifeq (tptp.class_OrderedGroup_Opordered__ab__group__add T_a) tptp.true (tptp.ifeq (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a) tptp.true (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a) tptp.true) tptp.true) tptp.true)))) (let ((_let_17 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (= (tptp.ifeq (tptp.class_OrderedGroup_Opordered__ab__group__add T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a) tptp.true (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a) tptp.true) tptp.true) tptp.true)))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_20 (= _let_8 (tptp.ifeq tptp.true tptp.true _let_8 tptp.true)))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (tptp.c_plus tptp.c_0 _let_6 tptp.t_b))) (let ((_let_23 (tptp.c_lessequals _let_22 _let_7 tptp.t_b))) (let ((_let_24 (= _let_23 (tptp.ifeq tptp.true tptp.true _let_23 tptp.true)))) (let ((_let_25 (tptp.ifeq _let_11 tptp.true _let_23 tptp.true))) (let ((_let_26 (tptp.c_lessequals _let_22 _let_10 tptp.t_b))) (let ((_let_27 (tptp.ifeq _let_26 tptp.true _let_25 tptp.true))) (let ((_let_28 (tptp.class_Orderings_Oorder tptp.t_b))) (let ((_let_29 (= tptp.true (tptp.ifeq _let_28 tptp.true _let_27 tptp.true)))) (let ((_let_30 (= _let_28 (tptp.ifeq tptp.true tptp.true _let_28 tptp.true)))) (let ((_let_31 (tptp.ifeq _let_23 tptp.true _let_8 tptp.true))) (let ((_let_32 (= _let_31 (tptp.ifeq tptp.true tptp.true _let_31 tptp.true)))) (let ((_let_33 (tptp.class_Orderings_Olinorder tptp.t_b))) (let ((_let_34 (= tptp.true (tptp.ifeq _let_33 tptp.true _let_28 tptp.true)))) (let ((_let_35 (= _let_33 (tptp.ifeq tptp.true tptp.true _let_33 tptp.true)))) (let ((_let_36 (= _let_26 (tptp.ifeq tptp.true tptp.true _let_26 tptp.true)))) (let ((_let_37 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (let ((_let_38 (= _let_37 (tptp.ifeq tptp.true tptp.true _let_37 tptp.true)))) (let ((_let_39 (= tptp.true (tptp.ifeq _let_1 tptp.true _let_37 tptp.true)))) (let ((_let_40 (= tptp.true (tptp.ifeq _let_1 tptp.true _let_33 tptp.true)))) (let ((_let_41 (= tptp.true (tptp.ifeq _let_37 tptp.true _let_31 tptp.true)))) (let ((_let_42 (= tptp.true (tptp.ifeq _let_37 tptp.true (tptp.ifeq _let_13 tptp.true _let_26 tptp.true) tptp.true)))) (let ((_let_43 (= tptp.true _let_1))) (let ((_let_44 (= tptp.true _let_11))) (let ((_let_45 (= tptp.true _let_13))) (let ((_let_46 (= tptp.true _let_8))) (let ((_let_47 (not _let_20))) (let ((_let_48 (_let_19))) (let ((_let_49 ((tptp.ifeq A A B C)))) (let ((_let_50 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted) (V_z $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Orderings_Oorder T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_x V_y T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_y V_z T_a) tptp.true (tptp.c_lessequals V_x V_z T_a) tptp.true) tptp.true) tptp.true))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (forall ((T $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Orderings_Olinorder T) tptp.true (tptp.class_Orderings_Oorder T) tptp.true))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (forall ((T $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_OrderedGroup_Opordered__ab__group__add T) tptp.true))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (forall ((T $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_Orderings_Olinorder T) tptp.true))))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_OrderedGroup_Opordered__ab__group__add T_a) tptp.true (tptp.ifeq (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a) tptp.true (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a) tptp.true) tptp.true))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_c $$unsorted) (V_b $$unsorted)) (= tptp.true (tptp.ifeq (tptp.class_OrderedGroup_Opordered__ab__group__add T_a) tptp.true (tptp.ifeq (tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a) tptp.true (tptp.c_lessequals (tptp.c_plus V_a V_b T_a) V_c T_a) tptp.true) tptp.true))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (SYMM (ASSUME :args (_let_2))))) (let ((_let_63 (SYMM (ASSUME :args (_let_12))))) (let ((_let_64 (SYMM (ASSUME :args (_let_14))))) (let ((_let_65 (SYMM (ASSUME :args (_let_9))))) (let ((_let_66 (not _let_24))) (let ((_let_67 (not _let_29))) (let ((_let_68 (not _let_30))) (let ((_let_69 (not _let_32))) (let ((_let_70 (not _let_34))) (let ((_let_71 (not _let_35))) (let ((_let_72 (not _let_36))) (let ((_let_73 (not _let_38))) (let ((_let_74 (not _let_39))) (let ((_let_75 (not _let_40))) (let ((_let_76 (not _let_41))) (let ((_let_77 (not _let_42))) (let ((_let_78 (not _let_43))) (let ((_let_79 (not _let_44))) (let ((_let_80 (not _let_45))) (let ((_let_81 (not _let_46))) (let ((_let_82 (and _let_45 _let_44 _let_81 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_36 _let_35 _let_34 _let_32 _let_30 _let_29 _let_24))) (let ((_let_83 (REFL :args (_let_8)))) (let ((_let_84 (ASSUME :args (_let_41)))) (let ((_let_85 (APPLY_UF tptp.ifeq))) (let ((_let_86 (REFL :args (tptp.true)))) (let ((_let_87 (ASSUME :args (_let_38)))) (let ((_let_88 (SYMM _let_62))) (let ((_let_89 (ASSUME :args (_let_39)))) (let ((_let_90 (SYMM _let_64))) (let ((_let_91 (TRANS _let_64 (TRANS _let_90 (SYMM (SYMM _let_89)) (CONG _let_88 _let_86 (REFL :args (_let_37)) _let_86 :args _let_85) (SYMM _let_87))))) (let ((_let_92 (ASSUME :args (_let_32)))) (let ((_let_93 (ASSUME :args (_let_24)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (CONG (SYMM _let_63) _let_86 (REFL :args (_let_23)) _let_86 :args _let_85))) (let ((_let_96 (TRANS _let_95 _let_94))) (let ((_let_97 (ASSUME :args (_let_42)))) (let ((_let_98 (ASSUME :args (_let_36)))) (let ((_let_99 (SYMM (SYMM _let_98)))) (let ((_let_100 (ASSUME :args (_let_34)))) (let ((_let_101 (ASSUME :args (_let_35)))) (let ((_let_102 (ASSUME :args (_let_40)))) (let ((_let_103 (ASSUME :args (_let_30)))) (let ((_let_104 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.true _let_8 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_87 _let_64 _let_62 _let_89 _let_92 _let_93 _let_97 _let_98 _let_63 _let_100 _let_101 _let_102 _let_103 _let_104 _let_65) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS _let_64 (TRANS _let_90 (SYMM (SYMM _let_104)) (CONG (TRANS (TRANS (SYMM (SYMM _let_103)) (CONG (TRANS _let_64 (TRANS _let_90 (SYMM (SYMM _let_102)) (CONG _let_88 _let_86 (REFL :args (_let_33)) _let_86 :args _let_85) (SYMM _let_101))) _let_86 (REFL :args (_let_28)) _let_86 :args _let_85) (SYMM _let_100) _let_64) _let_90) _let_86 (REFL :args (_let_27)) _let_86 :args _let_85) (CONG _let_86 _let_86 (TRANS (TRANS (CONG (TRANS (TRANS _let_99 (CONG _let_91 _let_86 (TRANS _let_99 (CONG _let_64 _let_86 (REFL :args (_let_26)) _let_86 :args _let_85)) _let_86 :args _let_85) (SYMM _let_97) _let_64) _let_90) _let_86 (REFL :args (_let_25)) _let_86 :args _let_85) (CONG _let_86 _let_86 _let_96 _let_86 :args _let_85) (SYMM _let_95)) _let_96) _let_86 :args _let_85) _let_94)) _let_86 _let_83 _let_86 :args _let_85) (SYMM (SYMM _let_92)) (CONG _let_91 _let_86 (REFL :args (_let_31)) _let_86 :args _let_85) (SYMM _let_84)) _let_83 :args (=)) (FALSE_INTRO _let_65)) :args ((= _let_20 false)))) :args (_let_41 _let_38 _let_45 _let_43 _let_39 _let_32 _let_24 _let_42 _let_36 _let_44 _let_34 _let_35 _let_40 _let_30 _let_29 _let_81))) :args (_let_45 _let_44 _let_81 _let_43 _let_42 _let_41 _let_40 _let_39 _let_38 _let_36 _let_35 _let_34 _let_32 _let_30 _let_29 _let_24))) :args (true _let_82)) (CONG (REFL :args (_let_80)) (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_46))) (REFL :args (_let_78)) (REFL :args (_let_77)) (REFL :args (_let_76)) (REFL :args (_let_75)) (REFL :args (_let_74)) (REFL :args (_let_73)) (REFL :args (_let_72)) (REFL :args (_let_71)) (REFL :args (_let_70)) (REFL :args (_let_69)) (REFL :args (_let_68)) (REFL :args (_let_67)) (REFL :args (_let_66)) (REFL :args (_let_47)) :args (or))) :args ((or _let_46 _let_80 _let_79 _let_78 _let_77 _let_76 _let_75 _let_74 _let_73 _let_72 _let_71 _let_70 _let_69 _let_68 _let_67 _let_66 _let_47))) _let_65 _let_64 _let_63 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.t_b tptp.c_0 _let_10 _let_6 QUANTIFIERS_INST_E_MATCHING ((tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)))) :args (_let_60))) _let_61 :args (_let_42 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.t_b tptp.c_0 _let_6 _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.c_lessequals V_a (tptp.c_minus V_c V_b T_a) T_a)))) :args (_let_58))) _let_59 :args (_let_41 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.class_Ring__and__Field_Oordered__idom T)))) :args (_let_56))) _let_57 :args (_let_40 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.class_Ring__and__Field_Oordered__idom T)))) :args (_let_54))) _let_55 :args (_let_39 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.true _let_37 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_21 :args (_let_38 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.true _let_26 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_21 :args (_let_36 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.true _let_33 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_21 :args (_let_35 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.class_Orderings_Olinorder T)))) :args (_let_52))) _let_53 :args (_let_34 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.true _let_31 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_21 :args (_let_32 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.true _let_28 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_21 :args (_let_30 false _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.t_b _let_22 _let_10 _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.c_lessequals V_x V_y T_a) (tptp.c_lessequals V_x V_z T_a)))) :args (_let_50))) _let_51 :args (_let_29 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.true _let_23 tptp.true QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_49)) :args _let_48)) _let_21 :args (_let_24 false _let_19)) :args (_let_47 true _let_46 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_40 false _let_39 false _let_38 false _let_36 false _let_35 false _let_34 false _let_32 false _let_30 false _let_29 false _let_24)) _let_21 :args (false true _let_20 false _let_19)) :args ((forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq2 A A B C) B)) _let_18 (forall ((T_a $$unsorted) (V_y $$unsorted)) (= (tptp.ifeq2 (tptp.class_OrderedGroup_Ocomm__monoid__add T_a) tptp.true (tptp.c_plus tptp.c_0 V_y T_a) V_y) V_y)) _let_17 _let_16 _let_15 _let_14 _let_12 _let_9 _let_5 (forall ((T $$unsorted)) (= (tptp.ifeq (tptp.class_Ring__and__Field_Oordered__idom T) tptp.true (tptp.class_OrderedGroup_Ocomm__monoid__add T) tptp.true) tptp.true)) _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57 )
% 0.20/0.57 % SZS output end Proof for ANA023-10
% 0.20/0.57 % cvc5---1.0.5 exiting
% 0.20/0.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------