TSTP Solution File: ANA039-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 17:14:41 EDT 2023

% Result   : Unsatisfiable 0.17s 0.50s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Fri Aug 25 18:40:39 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.17/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.46  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KF3c9imiMI/cvc5---1.0.5_9898.p...
% 0.17/0.47  ------- get file name : TPTP file name is ANA039-2
% 0.17/0.47  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9898.smt2...
% 0.17/0.47  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.50  % SZS status Unsatisfiable for ANA039-2
% 0.17/0.50  % SZS output start Proof for ANA039-2
% 0.17/0.50  (
% 0.17/0.50  (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_Orderings_Oorder T))))) (let ((_let_3 (forall ((T $$unsorted)) (or (not (tptp.class_Ring__and__Field_Oordered__idom T)) (tptp.class_Ring__and__Field_Opordered__semiring T))))) (let ((_let_4 (forall ((T_a $$unsorted) (V_a $$unsorted) (V_b $$unsorted) (V_c $$unsorted)) (or (not (tptp.class_Ring__and__Field_Opordered__semiring T_a)) (not (tptp.c_lessequals V_a V_b T_a)) (not (tptp.c_lessequals tptp.c_0 V_c T_a)) (tptp.c_lessequals (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_c T_a) T_a))))) (let ((_let_5 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))) (let ((_let_6 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs V_a T_a) T_a))))) (let ((_let_7 (forall ((T_a $$unsorted) (V_a $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T_a)) (tptp.c_lessequals V_a (tptp.c_HOL_Oabs V_a T_a) T_a))))) (let ((_let_8 (tptp.class_Ring__and__Field_Oordered__idom tptp.t_a))) (let ((_let_9 (tptp.v_f tptp.v_x))) (let ((_let_10 (tptp.c_HOL_Oabs _let_9 tptp.t_a))) (let ((_let_11 (tptp.c_HOL_Oabs tptp.v_c tptp.t_a))) (let ((_let_12 (tptp.c_times _let_11 _let_10 tptp.t_a))) (let ((_let_13 (tptp.c_HOL_Oabs (tptp.v_h tptp.v_x) tptp.t_a))) (let ((_let_14 (tptp.c_lessequals _let_13 _let_12 tptp.t_a))) (let ((_let_15 (not _let_14))) (let ((_let_16 (forall ((V_U $$unsorted)) (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_h V_U) tptp.t_a) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_f V_U) tptp.t_a) tptp.t_a) tptp.t_a)))) (let ((_let_17 (tptp.c_times tptp.v_c _let_10 tptp.t_a))) (let ((_let_18 (tptp.c_lessequals _let_17 _let_12 tptp.t_a))) (let ((_let_19 (tptp.c_lessequals tptp.c_0 _let_10 tptp.t_a))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.c_lessequals tptp.v_c _let_11 tptp.t_a))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_a))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_22 _let_20 _let_18))) (let ((_let_26 (_let_4))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (not _let_25))) (let ((_let_29 (tptp.c_lessequals _let_13 _let_17 tptp.t_a))) (let ((_let_30 (not _let_29))) (let ((_let_31 (not _let_18))) (let ((_let_32 (tptp.class_Orderings_Oorder tptp.t_a))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_30 _let_14))) (let ((_let_35 (_let_5))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_8))) (let ((_let_38 (or _let_37 _let_32))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (ASSUME :args (_let_8)))) (let ((_let_42 (_let_16))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (or _let_37 _let_23))) (let ((_let_45 (_let_3))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_a))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_19))) (let ((_let_50 (_let_6))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (or _let_37 _let_47))) (let ((_let_53 (_let_1))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_37 _let_47 (not _let_52)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.t_a 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_1)) :args (_let_47 false _let_8 false _let_52)))) (let ((_let_56 (or _let_48 _let_21))) (let ((_let_57 (_let_7))) (let ((_let_58 (ASSUME :args _let_57))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.t_a tptp.v_c _let_11 _let_10 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_times V_a V_c T_a) (tptp.c_times V_b V_c T_a) T_a) true))))) :args _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_22 _let_20 _let_24 _let_18 _let_28))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_48 _let_21 (not _let_56)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.t_a tptp.v_c QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_a T_a)))) :args _let_57)) _let_58 :args (_let_56 false _let_7)) :args (_let_21 false _let_47 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_48 _let_19 (not _let_49)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.t_a _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_a T_a)))) :args _let_50)) _let_51 :args (_let_49 false _let_6)) :args (_let_19 false _let_47 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_37 _let_23 (not _let_44)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_45)) _let_46 :args (_let_44 false _let_3)) :args (_let_23 false _let_8 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_14 _let_30 _let_33 _let_31 (not _let_34)))) (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_h V_U)))) :args _let_42)) _let_43 :args (_let_29 false _let_16)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_32 (not _let_38)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.t_a 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_32 false _let_8 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.t_a _let_17 _let_12 _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_x V_y T_a) false)) (not (= (tptp.c_lessequals V_x V_z T_a) true))))) :args _let_35)) _let_36 :args (_let_34 false _let_5)) :args (_let_31 true _let_14 false _let_29 false _let_32 false _let_34)) :args (_let_28 false _let_21 false _let_19 false _let_23 true _let_18)) _let_27 :args (false true _let_25 false _let_4)) :args (_let_16 _let_15 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.50  )
% 0.17/0.50  % SZS output end Proof for ANA039-2
% 0.17/0.50  % cvc5---1.0.5 exiting
% 0.17/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------