%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA034-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ANA034-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n014.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 18:28:02 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JewY5FgNJA/cvc5---1.0.5_14714.p...
% 0.21/0.49  ------- get file name : TPTP file name is ANA034-2
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14714.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for ANA034-2
% 0.21/0.53  % SZS output start Proof for ANA034-2
% 0.21/0.53  (
% 0.21/0.53  (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_Ring__and__Field_Opordered__semiring T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__cancel__semiring T))))) (let ((_let_4 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_Orderings_Oorder T))))) (let ((_let_5 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_6 (tptp.v_g tptp.v_x))) (let ((_let_7 (tptp.v_f tptp.v_x))) (let ((_let_8 (tptp.c_times (tptp.c_times tptp.v_c tptp.v_ca tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_times _let_7 _let_6 tptp.t_b) tptp.t_b) tptp.t_b))) (let ((_let_9 (tptp.v_b tptp.v_x))) (let ((_let_10 (tptp.v_a tptp.v_x))) (let ((_let_11 (tptp.c_HOL_Oabs (tptp.c_times _let_10 _let_9 tptp.t_b) tptp.t_b))) (let ((_let_12 (tptp.c_lessequals _let_11 _let_8 tptp.t_b))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.c_times tptp.v_ca (tptp.c_HOL_Oabs _let_6 tptp.t_b) tptp.t_b))) (let ((_let_15 (tptp.c_HOL_Oabs _let_7 tptp.t_b))) (let ((_let_16 (tptp.c_times tptp.v_c _let_15 tptp.t_b))) (let ((_let_17 (tptp.c_times _let_16 _let_14 tptp.t_b))) (let ((_let_18 (= _let_8 _let_17))) (let ((_let_19 (tptp.c_HOL_Oabs _let_9 tptp.t_b))) (let ((_let_20 (tptp.c_lessequals _let_19 _let_14 tptp.t_b))) (let ((_let_21 (tptp.c_HOL_Oabs _let_10 tptp.t_b))) (let ((_let_22 (tptp.c_lessequals _let_21 _let_16 tptp.t_b))) (let ((_let_23 (tptp.c_less tptp.c_0 tptp.v_c tptp.t_b))) (let ((_let_24 (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_25 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))))) (let ((_let_26 (forall ((T_a $$unsorted) (V_b $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring T_a)) (not (tptp.c_lessequals tptp.c_0 V_b T_a)) (not (tptp.c_lessequals tptp.c_0 V_a T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_times V_a V_b T_a) T_a))))) (let ((_let_27 (forall ((T_a $$unsorted) (V_c $$unsorted) (V_d $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (not (tptp.c_lessequals V_c V_d T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_lessequals tptp.c_0 V_c T_a)) (not (tptp.c_lessequals tptp.c_0 V_b T_a)) (tptp.c_lessequals (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_d T_a) T_a))))) (let ((_let_28 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T_a)) (= (tptp.c_HOL_Oabs (tptp.c_times V_a V_b T_a) T_a) (tptp.c_times (tptp.c_HOL_Oabs V_a T_a) (tptp.c_HOL_Oabs V_b T_a) T_a)))))) (let ((_let_29 (tptp.c_times _let_21 _let_19 tptp.t_b))) (let ((_let_30 (= _let_11 _let_29))) (let ((_let_31 (tptp.c_lessequals _let_29 _let_17 tptp.t_b))) (let ((_let_32 (ASSUME :args (_let_18)))) (let ((_let_33 (ASSUME :args (_let_13)))) (let ((_let_34 (not _let_5))) (let ((_let_35 (or _let_34 _let_30))) (let ((_let_36 (_let_28))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (ASSUME :args (_let_5)))) (let ((_let_39 (tptp.c_lessequals tptp.c_0 _let_16 tptp.t_b))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c_lessequals tptp.c_0 _let_19 tptp.t_b))) (let ((_let_42 (not _let_41))) (let ((_let_43 (not _let_22))) (let ((_let_44 (not _let_20))) (let ((_let_45 (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_44 _let_43 _let_42 _let_40 _let_31))) (let ((_let_48 (_let_27))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (or _let_34 _let_45))) (let ((_let_51 (_let_2))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_41))) (let ((_let_56 (_let_24))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.c_HOL_Oabs V_a T_a)))) (let ((_let_59 (or _let_34 _let_53))) (let ((_let_60 (_let_1))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_34 _let_53 (not _let_59)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_60)) _let_61 :args (_let_59 false _let_1)) :args (_let_53 false _let_5 false _let_59)))) (let ((_let_63 (tptp.c_lessequals tptp.c_0 tptp.v_c tptp.t_b))) (let ((_let_64 (not _let_63))) (let ((_let_65 (tptp.c_lessequals tptp.c_0 _let_15 tptp.t_b))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.t_b))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66 _let_64 _let_39))) (let ((_let_70 (_let_26))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (not _let_23))) (let ((_let_73 (tptp.class_Orderings_Oorder tptp.t_b))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72 _let_63))) (let ((_let_76 (_let_25))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (or _let_54 _let_73))) (let ((_let_79 (_let_4))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (or _let_54 _let_65))) (let ((_let_82 (or _let_34 _let_67))) (let ((_let_83 (_let_3))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (not _let_31))) (let ((_let_86 (not _let_30))) (let ((_let_87 (not _let_18))) (let ((_let_88 (ASSUME :args (_let_31)))) (let ((_let_89 (ASSUME :args (_let_30)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_88 _let_89 _let_32 _let_33) :args (_let_18 _let_13 _let_30 _let_31)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_33)) (CONG (SYMM (SYMM _let_89)) (SYMM (SYMM _let_32)) (REFL :args (tptp.t_b)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_88))) :args (_let_31 _let_30 _let_18 _let_13)) :args ((not (and _let_18 _let_13 _let_30 _let_31)) SB_LITERAL))) (CONG (REFL :args (_let_87)) (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) (REFL :args (_let_86)) (REFL :args (_let_85)) :args (or))) :args ((or _let_12 _let_87 _let_86 _let_85))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_43 _let_44 _let_40 _let_42 _let_46 _let_31 (not _let_47)))) (ASSUME :args (_let_22)) (ASSUME :args (_let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_68 _let_66 _let_64 _let_39 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_34 _let_67 (not _let_82)))) _let_38 (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_3)) :args (_let_67 false _let_5 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_65 _let_54 (not _let_81)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.t_b _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_81 false _let_24)) :args (_let_65 false _let_53 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_72 _let_63 _let_74 (not _let_75)))) (ASSUME :args (_let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_73 _let_54 (not _let_78)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_OrderedGroup_Olordered__ab__group__abs T) false))))) :args _let_79)) _let_80 :args (_let_78 false _let_4)) :args (_let_73 false _let_53 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (tptp.t_b tptp.c_0 tptp.v_c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_less V_x V_y T_a) false))))) :args _let_76)) _let_77 :args (_let_75 false _let_25)) :args (_let_63 false _let_23 false _let_73 false _let_75)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.t_b _let_15 tptp.v_c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_times V_a V_b T_a)))) :args _let_70)) _let_71 :args (_let_69 false _let_26)) :args (_let_39 false _let_67 false _let_65 false _let_63 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_41 (not _let_55)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.t_b _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_55 false _let_24)) :args (_let_41 false _let_53 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_34 _let_45 (not _let_50)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_51)) _let_52 :args (_let_50 false _let_2)) :args (_let_45 false _let_5 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.t_b _let_19 _let_14 _let_21 _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_d T_a) T_a) true))))) :args _let_48)) _let_49 :args (_let_47 false _let_27)) :args (_let_31 false _let_22 false _let_20 false _let_39 false _let_41 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_30 (not _let_35)))) _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.t_b _let_10 _let_9 QUANTIFIERS_INST_E_MATCHING ((tptp.c_HOL_Oabs (tptp.c_times V_a V_b T_a) T_a)))) :args _let_36)) _let_37 :args (_let_35 false _let_28)) :args (_let_30 false _let_5 false _let_35)) _let_33 _let_32 :args (false false _let_31 false _let_30 true _let_12 false _let_18)) :args (_let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_20 _let_18 _let_13 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for ANA034-2
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------