TSTP Solution File: SWV323-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV323-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 21:50:30 EDT 2023

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV323-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n025.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   : Tue Aug 29 05:31:55 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.2VITFBm6zi/cvc5---1.0.5_22430.p...
% 0.21/0.49  ------- get file name : TPTP file name is SWV323-2
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22430.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Unsatisfiable for SWV323-2
% 0.21/0.55  % SZS output start Proof for SWV323-2
% 0.21/0.55  (
% 0.21/0.55  (let ((_let_1 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a))))) (let ((_let_2 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))) (let ((_let_3 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))) (let ((_let_4 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) _let_1 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) _let_1 tptp.tc_Event_Oevent)))))) (let ((_let_5 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg))))) (let ((_let_6 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_7 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_8 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_Y _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_9 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_10 (forall ((V_K $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OKey V_K))) (or (not (tptp.c_in _let_1 (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in _let_1 V_H tptp.tc_Message_Omsg)))))) (let ((_let_11 (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)))) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union _let_1 (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))))) (let ((_let_12 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_X $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)) (tptp.c_in V_X (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg))))) (let ((_let_13 (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_14 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (let ((_let_15 (tptp.c_insert tptp.v_X _let_14 tptp.tc_Message_Omsg))) (let ((_let_16 (tptp.c_Public_OshrK tptp.v_A))) (let ((_let_17 (tptp.c_Message_Omsg_OKey _let_16))) (let ((_let_18 (tptp.c_in _let_17 (tptp.c_Message_Oparts _let_15) tptp.tc_Message_Omsg))) (let ((_let_19 (or _let_18 _let_13))) (let ((_let_20 (not _let_18))) (let ((_let_21 (not _let_13))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (tptp.c_Message_Oparts _let_14))) (let ((_let_24 (tptp.c_in _let_17 _let_23 tptp.tc_Message_Omsg))) (let ((_let_25 (or _let_13 (not _let_24)))) (let ((_let_26 (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent))) (let ((_let_27 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (let ((_let_28 (tptp.c_Message_Omsg_OMPair tptp.v_X _let_27))) (let ((_let_29 (tptp.c_Message_Omsg_ONonce tptp.v_NA))) (let ((_let_30 (tptp.c_Message_Omsg_OMPair _let_29 _let_28))) (let ((_let_31 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B _let_30) _let_26 tptp.tc_Event_Oevent))) (let ((_let_32 (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (let ((_let_33 (tptp.c_in _let_17 _let_15 tptp.tc_Message_Omsg))) (let ((_let_34 (tptp.c_in _let_17 _let_14 tptp.tc_Message_Omsg))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33))) (let ((_let_37 (_let_1))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (not _let_36))) (let ((_let_40 (not _let_33))) (let ((_let_41 (or _let_40 _let_18))) (let ((_let_42 (_let_6))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (tptp.c_Message_Oanalz _let_14))) (let ((_let_45 (tptp.c_in _let_17 _let_44 tptp.tc_Message_Omsg))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_24))) (let ((_let_48 (tptp.c_Message_Osynth _let_44))) (let ((_let_49 (tptp.c_in tptp.v_X _let_48 tptp.tc_Message_Omsg))) (let ((_let_50 (tptp.c_in _let_17 (tptp.c_union _let_48 _let_23 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (let ((_let_51 (not _let_49))) (let ((_let_52 (or _let_20 _let_51 _let_50))) (let ((_let_53 (tptp.c_in _let_17 _let_48 tptp.tc_Message_Omsg))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_54 _let_45))) (let ((_let_56 (not _let_50))) (let ((_let_57 (or _let_56 _let_24 _let_53))) (let ((_let_58 (_let_7))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.c_in _let_28 _let_48 tptp.tc_Message_Omsg))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_49))) (let ((_let_63 (_let_9))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (tptp.c_in _let_30 _let_48 tptp.tc_Message_Omsg))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_66 _let_60))) (let ((_let_68 (_let_8))) (let ((_let_69 (ASSUME :args _let_68))) (let ((_let_70 (tptp.c_in _let_30 _let_44 tptp.tc_Message_Omsg))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_65))) (let ((_let_73 (_let_5))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 (tptp.v_sko__usf tptp.v_B _let_30 tptp.v_evs4))) (let ((_let_76 (tptp.c_in (tptp.c_Event_Oevent_OSays _let_75 tptp.v_B _let_30) _let_26 tptp.tc_Event_Oevent))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_70))) (let ((_let_79 (_let_12))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 (not _let_31))) (let ((_let_82 (not _let_32))) (let ((_let_83 (or _let_82 _let_81 _let_76))) (let ((_let_84 (_let_4))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (_let_11))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (_let_10))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (_let_2))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_24 _let_56 _let_53 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_17 _let_48 _let_23 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a) false))))) :args _let_90)) _let_91 :args (_let_57 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_45 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_16 _let_44 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Osynth V_H) (tptp.c_Message_Omsg_OKey V_K)))) :args _let_88)) _let_89 :args (_let_55 false _let_10)) (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_20 _let_51 _let_50 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_17 tptp.v_X _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false))))) :args _let_86)) _let_87 :args (_let_52 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_49 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_60 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_65 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_70 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_81 _let_76 (not _let_83)))) (ASSUME :args (_let_32)) (ASSUME :args (_let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.v_evs4 tptp.v_B _let_30 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_84)) _let_85 :args (_let_83 false _let_4)) :args (_let_76 false _let_32 false _let_31 false _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_75 tptp.v_B _let_30 tptp.v_evs4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B V_X) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_79)) _let_80 :args (_let_78 false _let_12)) :args (_let_70 false _let_76 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_30 _let_44 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_X (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) true))))) :args _let_73)) _let_74 :args (_let_72 false _let_5)) :args (_let_65 false _let_70 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (_let_29 _let_28 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H)))) :args _let_68)) _let_69 :args (_let_67 false _let_8)) :args (_let_60 false _let_65 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.v_X _let_27 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H)))) :args _let_63)) _let_64 :args (_let_62 false _let_9)) :args (_let_49 false _let_60 false _let_62)) (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_24 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_17 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) :args _let_58)) _let_59 :args (_let_47 false _let_7)) (REORDERING (ASSUME :args (_let_19)) :args ((or _let_13 _let_18))) (ASSUME :args (_let_25)) :args (_let_13 false _let_57 true _let_53 false _let_55 false _let_50 false _let_52 false _let_49 true _let_45 false _let_47 false _let_18 true _let_24)))) (let ((_let_93 (or _let_21 _let_34))) (let ((_let_94 (_let_3))) (let ((_let_95 (ASSUME :args _let_94))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_17 _let_14 tptp.tc_Message_Omsg tptp.v_X QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a) true))))) :args _let_37)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_33 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_21 _let_34 (not _let_93)))) _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.v_A tptp.v_evs4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) true))))) :args _let_94)) _let_95 :args (_let_93 false _let_3)) :args (_let_34 false _let_13 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_18 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_22)) _let_92 :args (_let_20 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_17 _let_15 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) :args _let_42)) _let_43 :args (_let_41 false _let_6)) :args (_let_40 true _let_18 false _let_41)) :args (_let_39 false _let_34 true _let_33)) _let_38 :args (false true _let_36 false _let_1)) :args (_let_32 _let_31 _let_25 _let_22 _let_19 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for SWV323-2
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------