%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 17:14:38 EDT 2023

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ANA031-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n005.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 18:17:08 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.NlUsctPkg7/cvc5---1.0.5_19148.p...
% 0.20/0.51  ------- get file name : TPTP file name is ANA031-2
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19148.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55  % SZS status Unsatisfiable for ANA031-2
% 0.20/0.55  % SZS output start Proof for ANA031-2
% 0.20/0.55  (
% 0.20/0.55  (let ((_let_1 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))) (let ((_let_4 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Osemigroup__mult T))))) (let ((_let_5 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Oab__semigroup__mult T))))) (let ((_let_6 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_lessequals tptp.c_0 V_c T_a)) (tptp.c_lessequals (tptp.c_times V_c V_a T_a) (tptp.c_times V_c V_b T_a) T_a))))) (let ((_let_7 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult T_a)) (= (tptp.c_times V_a V_b T_a) (tptp.c_times V_b V_a T_a)))))) (let ((_let_8 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_OrderedGroup_Osemigroup__mult T_a)) (= (tptp.c_times (tptp.c_times V_a V_b T_a) V_c T_a) (tptp.c_times V_a (tptp.c_times V_b V_c T_a) T_a)))))) (let ((_let_9 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))))) (let ((_let_10 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.v_x V_U))) (let ((_let_2 (tptp.c_HOL_Oabs (tptp.v_f _let_1) tptp.t_b))) (not (tptp.c_lessequals (tptp.c_times (tptp.c_HOL_Oabs (tptp.v_b _let_1) tptp.t_b) _let_2 tptp.t_b) (tptp.c_times V_U (tptp.c_times _let_2 (tptp.c_HOL_Oabs (tptp.v_g _let_1) tptp.t_b) tptp.t_b) tptp.t_b) tptp.t_b))))))) (let ((_let_11 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_b V_U) tptp.t_b) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_g V_U) tptp.t_b) tptp.t_b) tptp.t_b)))) (let ((_let_12 (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b))) (let ((_let_13 (tptp.v_x tptp.v_c))) (let ((_let_14 (tptp.v_f _let_13))) (let ((_let_15 (tptp.c_HOL_Oabs _let_14 tptp.t_b))) (let ((_let_16 (tptp.c_lessequals tptp.c_0 _let_15 tptp.t_b))) (let ((_let_17 (tptp.c_HOL_Oabs (tptp.v_g _let_13) tptp.t_b))) (let ((_let_18 (tptp.c_times _let_17 tptp.v_c tptp.t_b))) (let ((_let_19 (tptp.c_times _let_15 _let_18 tptp.t_b))) (let ((_let_20 (tptp.c_HOL_Oabs (tptp.v_b _let_13) tptp.t_b))) (let ((_let_21 (tptp.c_times _let_15 _let_20 tptp.t_b))) (let ((_let_22 (tptp.c_lessequals _let_21 _let_19 tptp.t_b))) (let ((_let_23 (not _let_16))) (let ((_let_24 (tptp.c_lessequals _let_20 _let_18 tptp.t_b))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_12))) (let ((_let_27 (or _let_26 _let_25 _let_23 _let_22))) (let ((_let_28 (not _let_1))) (let ((_let_29 (or _let_28 _let_12))) (let ((_let_30 (_let_3))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (ASSUME :args (_let_1)))) (let ((_let_33 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_16))) (let ((_let_36 (_let_9))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (or _let_28 _let_33))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (_let_6))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (tptp.c_times _let_15 _let_17 tptp.t_b))) (let ((_let_44 (tptp.c_times _let_43 tptp.v_c tptp.t_b))) (let ((_let_45 (= _let_44 _let_19))) (let ((_let_46 (tptp.c_times _let_20 _let_15 tptp.t_b))) (let ((_let_47 (= _let_46 _let_21))) (let ((_let_48 (tptp.c_times tptp.v_c _let_43 tptp.t_b))) (let ((_let_49 (= _let_48 _let_44))) (let ((_let_50 (tptp.c_lessequals _let_46 _let_48 tptp.t_b))) (let ((_let_51 (not _let_22))) (let ((_let_52 (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_b))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_45))) (let ((_let_55 (_let_8))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (or _let_28 _let_52))) (let ((_let_58 (_let_4))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.t_b))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_47))) (let ((_let_63 (_let_7))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((tptp.c_times V_a V_b T_a)))) (let ((_let_66 (or _let_28 _let_60))) (let ((_let_67 (_let_5))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_28 _let_60 (not _let_66)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_67)) _let_68 :args (_let_66 false _let_5)) :args (_let_60 false _let_1 false _let_66)))) (let ((_let_70 (or _let_61 _let_49))) (let ((_let_71 (not _let_50))) (let ((_let_72 (_let_10))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (and _let_71 _let_49 _let_47 _let_45))) (let ((_let_75 (ASSUME :args (_let_71)))) (let ((_let_76 (APPLY_UF tptp.c_lessequals))) (let ((_let_77 (REFL :args (tptp.t_b)))) (let ((_let_78 (ASSUME :args (_let_49)))) (let ((_let_79 (ASSUME :args (_let_45)))) (let ((_let_80 (ASSUME :args (_let_47)))) (let ((_let_81 (tptp.c_times tptp.v_c _let_17 tptp.t_b))) (let ((_let_82 (= _let_81 _let_18))) (let ((_let_83 (tptp.c_lessequals _let_20 _let_81 tptp.t_b))) (let ((_let_84 (or _let_61 _let_82))) (let ((_let_85 (_let_11))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (and _let_83 _let_82))) (let ((_let_88 (_let_83 _let_82))) (let ((_let_89 (ASSUME :args (_let_83)))) (let ((_let_90 (ASSUME :args (_let_82)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_23 _let_25 _let_22 (not _let_27)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_87)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_90) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_20)) (SYMM _let_90) _let_77 :args _let_76) (TRUE_INTRO _let_89))) :args _let_88)) :args _let_88)) :args (true _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_b V_U)))) :args _let_85)) _let_86 :args (_let_83 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_61 _let_82 (not _let_84)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.t_b tptp.v_c _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_84 false _let_7)) :args (_let_82 false _let_60 false _let_84)) :args (_let_24 false _let_83 false _let_82)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_74)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_75 _let_80 _let_78 _let_79) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_80) (TRANS (SYMM _let_79) (SYMM _let_78)) _let_77 :args _let_76) (FALSE_INTRO _let_75))) :args (_let_71 _let_47 _let_49 _let_45))) :args (_let_71 _let_49 _let_47 _let_45))) :args (true _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_50))) (REFL :args ((not _let_49))) (REFL :args ((not _let_47))) (REFL :args ((not _let_45))) (REFL :args (_let_51)) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.v_c QUANTIFIERS_INST_ENUM)) :args _let_72)) _let_73 :args (_let_71 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_61 _let_49 (not _let_70)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.t_b tptp.v_c _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_70 false _let_7)) :args (_let_49 false _let_60 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_47 (not _let_62)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.t_b _let_20 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_65)) :args _let_63)) _let_64 :args (_let_62 false _let_7)) :args (_let_47 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_45 (not _let_54)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_28 _let_52 (not _let_57)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_58)) _let_59 :args (_let_57 false _let_4)) :args (_let_52 false _let_1 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.t_b _let_15 _let_17 tptp.v_c QUANTIFIERS_INST_E_MATCHING ((tptp.c_times (tptp.c_times V_a V_b T_a) V_c T_a)))) :args _let_55)) _let_56 :args (_let_54 false _let_8)) :args (_let_45 false _let_52 false _let_54)) :args (_let_51 true _let_50 false _let_49 false _let_47 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.t_b _let_20 _let_18 _let_15 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_times V_c V_a T_a) (tptp.c_times V_c V_b T_a) T_a) true))))) :args _let_41)) _let_42 :args (_let_27 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_16 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_28 _let_33 (not _let_38)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_39)) _let_40 :args (_let_38 false _let_2)) :args (_let_33 false _let_1 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.t_b _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_a T_a)))) :args _let_36)) _let_37 :args (_let_35 false _let_9)) :args (_let_16 false _let_33 false _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_12 (not _let_29)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_30)) _let_31 :args (_let_29 false _let_3)) :args (_let_12 false _let_1 false _let_29)) :args (false false _let_24 true _let_22 false _let_27 false _let_16 false _let_12)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55  )
% 0.20/0.56  % SZS output end Proof for ANA031-2
% 0.20/0.56  % cvc5---1.0.5 exiting
% 0.20/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------