TSTP Solution File: SWV281-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 : Thu Aug 31 21:50:11 EDT 2023
% Result : Unsatisfiable 0.21s 0.68s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 06:13:08 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.69tQLuVt9Y/cvc5---1.0.5_5119.p...
% 0.21/0.51 ------- get file name : TPTP file name is SWV281-2
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5119.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.68 % SZS status Unsatisfiable for SWV281-2
% 0.21/0.68 % SZS output start Proof for SWV281-2
% 0.21/0.69 (
% 0.21/0.69 (let ((_let_1 (forall ((V_U $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Message_Omsg_ONonce V_U) (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg)) (not (tptp.c_lessequals (tptp.v_sko__urX V_evs) V_U tptp.tc_nat)))))) (let ((_let_2 (forall ((V_y $$unsorted)) (= (tptp.c_plus tptp.c_0 V_y tptp.tc_nat) V_y)))) (let ((_let_3 (forall ((V_m $$unsorted) (V_k $$unsorted) (V_n $$unsorted)) (or (not (= (tptp.c_plus V_m V_k tptp.tc_nat) (tptp.c_plus V_n V_k tptp.tc_nat))) (= V_m V_n))))) (let ((_let_4 (forall ((V_n $$unsorted) (V_m $$unsorted)) (tptp.c_lessequals V_n (tptp.c_plus V_m V_n tptp.tc_nat) tptp.tc_nat)))) (let ((_let_5 (forall ((V_a_H $$unsorted) (V_list_H $$unsorted) (T_a $$unsorted)) (not (= tptp.c_List_Olist_ONil (tptp.c_List_Olist_OCons V_a_H V_list_H T_a)))))) (let ((_let_6 (forall ((V_U $$unsorted) (V_V $$unsorted)) (or (= V_U V_V) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_V) (tptp.c_Event_Oused tptp.v_evs_H) tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_ONonce V_U) (tptp.c_Event_Oused tptp.v_evs) tptp.tc_Message_Omsg))))) (let ((_let_7 (tptp.c_Event_Oused tptp.v_evs))) (let ((_let_8 (tptp.v_sko__urX tptp.v_evs_H))) (let ((_let_9 (tptp.c_plus tptp.c_0 _let_8 tptp.tc_nat))) (let ((_let_10 (tptp.c_Message_Omsg_ONonce _let_9))) (let ((_let_11 (tptp.c_in _let_10 _let_7 tptp.tc_Message_Omsg))) (let ((_let_12 (tptp.c_Event_Oused tptp.v_evs_H))) (let ((_let_13 (tptp.c_plus tptp.c_List_Olist_ONil _let_8 tptp.tc_nat))) (let ((_let_14 (tptp.c_in (tptp.c_Message_Omsg_ONonce _let_13) _let_12 tptp.tc_Message_Omsg))) (let ((_let_15 (= _let_9 _let_13))) (let ((_let_16 (or _let_15 _let_14 _let_11))) (let ((_let_17 (_let_6))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_16))) (let ((_let_20 (tptp.c_lessequals _let_8 _let_13 tptp.tc_nat))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_14))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (_let_1))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 ((not (= (tptp.c_lessequals (tptp.v_sko__urX V_evs) V_U tptp.tc_nat) false))))) (let ((_let_27 (_let_4))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (= tptp.c_List_Olist_ONil tptp.c_0))) (let ((_let_30 (not _let_15))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (_let_3))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.c_List_Olist_OCons e_$$unsorted_4 e_$$unsorted_4 e_$$unsorted_4))) (let ((_let_35 (= tptp.c_0 _let_34))) (let ((_let_36 (= tptp.c_List_Olist_ONil _let_34))) (let ((_let_37 (not _let_29))) (let ((_let_38 (tptp.c_plus _let_34 _let_8 tptp.tc_nat))) (let ((_let_39 (= _let_9 _let_38))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_35))) (let ((_let_42 (tptp.c_in (tptp.c_Message_Omsg_ONonce _let_38) _let_7 tptp.tc_Message_Omsg))) (let ((_let_43 (tptp.c_in _let_10 _let_12 tptp.tc_Message_Omsg))) (let ((_let_44 (or _let_39 _let_43 _let_42))) (let ((_let_45 ((tptp.c_Message_Omsg_ONonce V_V) (tptp.c_Message_Omsg_ONonce V_U)))) (let ((_let_46 (tptp.v_sko__urX tptp.v_evs))) (let ((_let_47 (tptp.c_lessequals _let_46 _let_38 tptp.tc_nat))) (let ((_let_48 (not _let_47))) (let ((_let_49 (not _let_42))) (let ((_let_50 (or _let_49 _let_48))) (let ((_let_51 (tptp.c_plus tptp.c_0 _let_46 tptp.tc_nat))) (let ((_let_52 (= _let_9 _let_51))) (let ((_let_53 (= _let_46 _let_51))) (let ((_let_54 (tptp.c_lessequals _let_8 _let_38 tptp.tc_nat))) (let ((_let_55 (= _let_8 _let_9))) (let ((_let_56 (tptp.c_in (tptp.c_Message_Omsg_ONonce _let_51) _let_7 tptp.tc_Message_Omsg))) (let ((_let_57 (or _let_52 _let_43 _let_56))) (let ((_let_58 (tptp.c_lessequals _let_46 _let_51 tptp.tc_nat))) (let ((_let_59 (not _let_58))) (let ((_let_60 (not _let_56))) (let ((_let_61 (or _let_60 _let_59))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_59 _let_60 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_46 tptp.c_0 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_plus V_m V_n tptp.tc_nat)))) :args _let_27)) _let_28 :args (_let_58 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_51 tptp.v_evs QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_61 false _let_1)) :args (_let_60 false _let_58 false _let_61)))) (let ((_let_63 (tptp.c_lessequals _let_8 _let_9 tptp.tc_nat))) (let ((_let_64 (not _let_63))) (let ((_let_65 (not _let_43))) (let ((_let_66 (or _let_65 _let_64))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_64 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_8 tptp.c_0 QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_28 :args (_let_63 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_9 tptp.v_evs_H QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_66 false _let_1)) :args (_let_65 false _let_63 false _let_66)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_43 _let_56 _let_52 (not _let_57)))) _let_67 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_51 _let_9 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_17))) _let_18 :args (_let_57 false _let_6)) :args (_let_52 true _let_43 true _let_56 false _let_57)))) (let ((_let_69 (forall ((V_y $$unsorted)) (= V_y (tptp.c_plus tptp.c_0 V_y tptp.tc_nat))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (not _let_52))) (let ((_let_73 (and _let_55 _let_54 _let_53 _let_52))) (let ((_let_74 (ASSUME :args (_let_54)))) (let ((_let_75 (ASSUME :args (_let_55)))) (let ((_let_76 (ASSUME :args (_let_52)))) (let ((_let_77 (SYMM (SYMM _let_76)))) (let ((_let_78 (ASSUME :args (_let_53)))) (let ((_let_79 (not _let_36))) (let ((_let_80 (_let_5))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (or))) (let ((_let_83 (and _let_79 _let_35))) (let ((_let_84 (_let_79 _let_35))) (let ((_let_85 (ASSUME :args (_let_79)))) (let ((_let_86 (ASSUME :args (_let_35)))) (let ((_let_87 (not _let_11))) (let ((_let_88 (and _let_60 _let_52))) (let ((_let_89 (_let_60 _let_52))) (let ((_let_90 (ASSUME :args (_let_60)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_9 _let_13 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_11 _let_15 _let_14 _let_19))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_88)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_90 _let_76) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_77 :args (APPLY_UF tptp.c_Message_Omsg_ONonce)) (REFL :args (_let_7)) (REFL :args (tptp.tc_Message_Omsg)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_90))) :args _let_89)) :args _let_89)) :args (true _let_88)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_60) _let_56))) (REFL :args (_let_72)) (REFL :args (_let_87)) :args _let_82)) :args ((or _let_87 _let_56 _let_72))) _let_62 _let_68 :args (_let_87 true _let_56 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_29 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_83)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_86) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.c_List_Olist_ONil)) (SYMM (SYMM _let_86)) :args (=)) (FALSE_INTRO _let_85))) :args _let_84)) :args _let_84)) :args (true _let_83)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_36))) (REFL :args ((not _let_35))) (REFL :args (_let_37)) :args _let_82)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (e_$$unsorted_4 e_$$unsorted_4 e_$$unsorted_4 QUANTIFIERS_INST_ENUM)) :args _let_80)) _let_81 :args (_let_79 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_35 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_39 _let_42 (not _let_44)))) _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_48 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_73)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_74 _let_75 _let_76 _let_78) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_78)) (SYMM _let_77) (SYMM _let_75)) (REFL :args (_let_38)) (REFL :args (tptp.tc_nat)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_74))) :args (_let_54 _let_55 _let_52 _let_53))) :args (_let_55 _let_54 _let_53 _let_52))) :args (true _let_73)) :args ((or (not _let_55) (not _let_54) (not _let_53) _let_47 _let_72))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_8 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_70 :args (_let_55 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_8 _let_34 QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_28 :args (_let_54 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_46 QUANTIFIERS_INST_ENUM)) :args _let_71)) _let_70 :args (_let_53 false _let_69)) _let_68 :args (_let_47 false _let_55 false _let_54 false _let_53 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_38 tptp.v_evs QUANTIFIERS_INST_E_MATCHING ((tptp.c_Event_Oused V_evs) (tptp.c_Message_Omsg_ONonce V_U)))) :args _let_24)) _let_25 :args (_let_50 false _let_1)) :args (_let_49 false _let_47 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_38 _let_9 QUANTIFIERS_INST_E_MATCHING _let_45)) :args _let_17))) _let_18 :args (_let_44 false _let_6)) :args (_let_39 true _let_43 true _let_42 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.c_0 _let_8 _let_34 QUANTIFIERS_INST_ENUM)) :args _let_32)) _let_33 :args (_let_41 false _let_3)) :args (_let_35 false _let_39 false _let_41)) :args (_let_37 true _let_36 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.c_List_Olist_ONil _let_8 tptp.c_0 QUANTIFIERS_INST_ENUM)) :args _let_32))) _let_33 :args (_let_31 false _let_3)) :args (_let_30 true _let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_21 _let_22 (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_8 tptp.c_List_Olist_ONil QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_28 :args (_let_20 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_13 tptp.v_evs_H QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_23 false _let_1)) :args (_let_22 false _let_20 false _let_23)) :args (_let_19 true _let_11 true _let_15 true _let_14)) _let_18 :args (false true _let_16 false _let_6)) :args (_let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.69 )
% 0.21/0.69 % SZS output end Proof for SWV281-2
% 0.21/0.69 % cvc5---1.0.5 exiting
% 0.21/0.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------