TSTP Solution File: ANA025-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 17:14:34 EDT 2023

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ANA025-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri Aug 25 19:04:24 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.YgJkGn6vgK/cvc5---1.0.5_13463.p...
% 0.20/0.50  ------- get file name : TPTP file name is ANA025-2
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13463.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53  % SZS status Unsatisfiable for ANA025-2
% 0.20/0.53  % SZS output start Proof for ANA025-2
% 0.20/0.53  (
% 0.20/0.53  (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_Orderings_Olinorder T))))) (let ((_let_4 (forall ((T $$unsorted)) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs T)) (tptp.class_LOrder_Ojoin__semilorder T))))) (let ((_let_5 (forall ((T $$unsorted)) (or (not (tptp.class_LOrder_Ojoin__semilorder T)) (tptp.class_Orderings_Oorder T))))) (let ((_let_6 (tptp.v_g tptp.v_x))) (let ((_let_7 (tptp.c_minus (tptp.v_f tptp.v_x) _let_6 tptp.t_b))) (let ((_let_8 (tptp.c_HOL_Oabs _let_7 tptp.t_b))) (let ((_let_9 (tptp.c_minus (tptp.v_k tptp.v_x) _let_6 tptp.t_b))) (let ((_let_10 (tptp.c_lessequals (tptp.c_Orderings_Omax _let_9 tptp.c_0 tptp.t_b) _let_8 tptp.t_b))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.c_lessequals tptp.c_0 _let_9 tptp.t_b))) (let ((_let_13 (not _let_12))) (let ((_let_14 (forall ((T_a $$unsorted) (V_x $$unsorted) (V_y $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_y T_a)) (tptp.c_lessequals V_x V_y T_a))))) (let ((_let_15 (forall ((T_a $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_y V_z T_a)) (not (tptp.c_lessequals V_x V_y T_a)) (tptp.c_lessequals V_x V_z T_a))))) (let ((_let_16 (forall ((T_b $$unsorted) (V_y $$unsorted) (V_z $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Olinorder T_b)) (not (tptp.c_lessequals V_y V_z T_b)) (not (tptp.c_lessequals V_x V_z T_b)) (tptp.c_lessequals (tptp.c_Orderings_Omax V_x V_y T_b) V_z T_b))))) (let ((_let_17 (forall ((T_a $$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_18 (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_19 (tptp.c_lessequals _let_9 _let_8 tptp.t_b))) (let ((_let_20 (tptp.c_lessequals _let_9 tptp.c_0 tptp.t_b))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.c_lessequals tptp.c_0 _let_8 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_15))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (not _let_26))) (let ((_let_30 (tptp.c_less tptp.c_0 _let_9 tptp.t_b))) (let ((_let_31 (tptp.class_Orderings_Olinorder tptp.t_b))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_20))) (let ((_let_34 (_let_17))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_30))) (let ((_let_37 (or _let_25 _let_36 _let_12))) (let ((_let_38 (_let_14))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.class_LOrder_Ojoin__semilorder tptp.t_b))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_24))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_40))) (let ((_let_48 (_let_4))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (not _let_1))) (let ((_let_51 (or _let_50 _let_45))) (let ((_let_52 (_let_2))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (ASSUME :args (_let_1)))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_50 _let_45 (not _let_51)))) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Ring__and__Field_Oordered__idom T) false))))) :args _let_52)) _let_53 :args (_let_51 false _let_2)) :args (_let_45 false _let_1 false _let_51)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_24 _let_41 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_40 (not _let_47)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_OrderedGroup_Olordered__ab__group__abs T) false))))) :args _let_48)) _let_49 :args (_let_47 false _let_4)) :args (_let_40 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.t_b QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.class_Orderings_Oorder T) true))))) :args _let_43)) _let_44 :args (_let_42 false _let_5)) :args (_let_24 false _let_40 false _let_42)))) (let ((_let_57 (or _let_50 _let_31))) (let ((_let_58 (_let_3))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_50 _let_31 (not _let_57)))) _let_54 (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_3)) :args (_let_31 false _let_1 false _let_57)))) (let ((_let_61 (not _let_19))) (let ((_let_62 (or _let_32 _let_23 _let_61 _let_10))) (let ((_let_63 (_let_16))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (or _let_46 _let_22))) (let ((_let_66 (_let_18))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_46 _let_22 (not _let_65)))) _let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.t_b _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_HOL_Oabs V_a T_a)))) :args _let_66)) _let_67 :args (_let_65 false _let_18)) :args (_let_22 false _let_45 false _let_65)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.t_b tptp.c_0 _let_8 _let_9 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_23 _let_19 _let_25 _let_21 _let_29))) _let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_10 _let_32 _let_23 _let_61 (not _let_62)))) (ASSUME :args (_let_11)) _let_60 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.t_b tptp.c_0 _let_8 _let_9 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_63)) _let_64 :args (_let_62 false _let_16)) :args (_let_61 true _let_10 false _let_31 false _let_22 false _let_62)) _let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_20 (not _let_33)))) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_12 _let_25 _let_36 (not _let_37)))) (ASSUME :args (_let_13)) _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.t_b tptp.c_0 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_lessequals V_x V_y T_a) true))))) :args _let_38)) _let_39 :args (_let_37 false _let_14)) :args (_let_36 true _let_12 false _let_24 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.t_b tptp.c_0 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_less V_y V_x T_a) true))))) :args _let_34)) _let_35 :args (_let_33 false _let_17)) :args (_let_20 false _let_31 true _let_30 false _let_33)) :args (_let_29 false _let_22 true _let_19 false _let_24 false _let_20)) _let_28 :args (false true _let_26 false _let_15)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_11 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for ANA025-2
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------