TSTP Solution File: ANA029-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA029-2 : 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 17:14:37 EDT 2023

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : ANA029-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command    : do_cvc5 %s %d
% 0.11/0.33  % Computer : n005.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Fri Aug 25 18:17:53 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.46  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.hMr0AsWi6D/cvc5---1.0.5_23038.p...
% 0.18/0.46  ------- get file name : TPTP file name is ANA029-2
% 0.18/0.47  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23038.smt2...
% 0.18/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.50  % SZS status Unsatisfiable for ANA029-2
% 0.18/0.50  % SZS output start Proof for ANA029-2
% 0.18/0.50  (
% 0.18/0.50  (let ((_let_1 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Opordered__ab__group__add T))))) (let ((_let_2 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_OrderedGroup_Olordered__ab__group__abs T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Orderings_Olinorder T))))) (let ((_let_4 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T)) (tptp.class_Orderings_Oorder T))))) (let ((_let_5 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))))) (let ((_let_6 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))) (let ((_let_7 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))))) (let ((_let_8 (forall ((T_a $$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_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 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b))) (let ((_let_11 (tptp.v_f tptp.v_x))) (let ((_let_12 (tptp.c_minus _let_11 (tptp.v_g tptp.v_x) tptp.t_b))) (let ((_let_13 (tptp.c_HOL_Oabs _let_12 tptp.t_b))) (let ((_let_14 (tptp.c_minus _let_11 (tptp.v_k tptp.v_x) tptp.t_b))) (let ((_let_15 (tptp.c_lessequals (tptp.c_Orderings_Omax _let_14 tptp.c_0 tptp.t_b) _let_13 tptp.t_b))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c_lessequals tptp.c_0 _let_14 tptp.t_b))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c_lessequals _let_14 _let_13 tptp.t_b))) (let ((_let_20 (tptp.c_lessequals _let_14 tptp.c_0 tptp.t_b))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c_lessequals tptp.c_0 _let_13 tptp.t_b))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.class_Orderings_Oorder tptp.t_b))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21 _let_19))) (let ((_let_27 (_let_6))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (not _let_26))) (let ((_let_30 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_24))) (let ((_let_33 (_let_4))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_10))) (let ((_let_36 (or _let_35 _let_30))) (let ((_let_37 (_let_1))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (ASSUME :args (_let_10)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_24 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_30 (not _let_36)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_37)) _let_38 :args (_let_36 false _let_1)) :args (_let_30 false _let_10 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_OrderedGroup_Opordered__ab__group__add T) false))))) :args _let_33)) _let_34 :args (_let_32 false _let_4)) :args (_let_24 false _let_30 false _let_32)))) (let ((_let_41 (not _let_19))) (let ((_let_42 (tptp.class_Orderings_Olinorder tptp.t_b))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_43 _let_23 _let_41 _let_15))) (let ((_let_45 (_let_7))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_22))) (let ((_let_50 (_let_9))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (or _let_35 _let_47))) (let ((_let_53 (_let_2))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_22 (not _let_49)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_35 _let_47 (not _let_52)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_53)) _let_54 :args (_let_52 false _let_2)) :args (_let_47 false _let_10 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.t_b _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_a T_a)))) :args _let_50)) _let_51 :args (_let_49 false _let_9)) :args (_let_22 false _let_47 false _let_49)))) (let ((_let_56 (or _let_35 _let_42))) (let ((_let_57 (_let_3))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_35 _let_42 (not _let_56)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_57)) _let_58 :args (_let_56 false _let_3)) :args (_let_42 false _let_10 false _let_56)))) (let ((_let_60 (tptp.c_less tptp.c_0 _let_14 tptp.t_b))) (let ((_let_61 (or _let_43 _let_60 _let_20))) (let ((_let_62 (_let_8))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (not _let_60))) (let ((_let_65 (or _let_25 _let_64 _let_17))) (let ((_let_66 (_let_5))) (let ((_let_67 (ASSUME :args _let_66))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.t_b tptp.c_0 _let_13 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_y V_z T_a) false)) (not (= (tptp.c_lessequals V_x V_y T_a) false))))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_21 _let_23 _let_19 _let_25 _let_29))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_20 _let_43 _let_60 (not _let_61)))) _let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_17 _let_25 _let_64 (not _let_65)))) (ASSUME :args (_let_18)) _let_40 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.t_b tptp.c_0 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_lessequals V_x V_y T_a) true))))) :args _let_66)) _let_67 :args (_let_65 false _let_5)) :args (_let_64 true _let_17 false _let_24 false _let_65)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.t_b tptp.c_0 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_less V_y V_x T_a) true))))) :args _let_62)) _let_63 :args (_let_61 false _let_8)) :args (_let_20 false _let_42 true _let_60 false _let_61)) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_15 _let_43 _let_23 _let_41 (not _let_44)))) (ASSUME :args (_let_16)) _let_59 _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.t_b tptp.c_0 _let_13 _let_14 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_45)) _let_46 :args (_let_44 false _let_7)) :args (_let_41 true _let_15 false _let_42 false _let_22 false _let_44)) _let_40 :args (_let_29 false _let_20 false _let_22 true _let_19 false _let_24)) _let_28 :args (false true _let_26 false _let_6)) :args (_let_18 _let_16 _let_10 _let_9 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a)) (tptp.c_lessequals V_a V_b T_a))) (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (tptp.c_lessequals (tptp.c_minus V_a V_b T_a) tptp.c_0 T_a))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.50  )
% 0.18/0.50  % SZS output end Proof for ANA029-2
% 0.18/0.51  % cvc5---1.0.5 exiting
% 0.18/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------