TSTP Solution File: SWV311-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV311-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 21:50:24 EDT 2023

% Result   : Unsatisfiable 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV311-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 04:14:43 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.nf8a5nGRAz/cvc5---1.0.5_11943.p...
% 0.21/0.50  ------- get file name : TPTP file name is SWV311-2
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11943.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54  % SZS status Unsatisfiable for SWV311-2
% 0.21/0.54  % SZS output start Proof for SWV311-2
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (tptp.c_Message_Omsg_ONonce tptp.v_NAa))) (let ((_let_2 (= tptp.v_B tptp.v_Ba))) (let ((_let_3 (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent))) (let ((_let_4 (tptp.c_Message_Omsg_OAgent tptp.v_Ba))) (let ((_let_5 (tptp.c_Message_Omsg_OAgent tptp.v_Aa))) (let ((_let_6 (tptp.c_Message_Omsg_OMPair _let_5 _let_4))) (let ((_let_7 (tptp.c_Message_Omsg_ONonce tptp.v_NBa))) (let ((_let_8 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair _let_1 (tptp.c_Message_Omsg_OMPair _let_7 _let_6))))) (let ((_let_9 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair _let_1 _let_6)))) (let ((_let_10 (tptp.c_Message_Omsg_OMPair _let_9 _let_8))) (let ((_let_11 (tptp.c_Message_Omsg_OMPair _let_4 _let_10))) (let ((_let_12 (tptp.c_Message_Omsg_OMPair _let_5 _let_11))) (let ((_let_13 (tptp.c_Message_Omsg_OMPair _let_1 _let_12))) (let ((_let_14 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.c_Message_Oagent_OServer _let_13) _let_3 tptp.tc_Event_Oevent))) (let ((_let_15 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OAgent tptp.v_Ba))) (let ((_let_2 (tptp.c_Message_Omsg_OAgent tptp.v_Aa))) (let ((_let_3 (tptp.c_Message_Omsg_ONonce tptp.v_NAa))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_Ba tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair _let_3 (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair _let_1 (tptp.c_Message_Omsg_OMPair V_U (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Ba) (tptp.c_Message_Omsg_OMPair _let_3 (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NBa) (tptp.c_Message_Omsg_OMPair _let_2 _let_1))))))))) (tptp.c_List_Oset tptp.v_evs3 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))))) (let ((_let_16 (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (let ((_let_17 (tptp.c_in tptp.v_evs3 tptp.c_OtwayRees_Ootway _let_16))) (let ((_let_18 (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((V_evs $$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_21 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_NB $$unsorted) (V_A $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OAgent V_B))) (let ((_let_2 (tptp.c_Message_Omsg_OAgent V_A))) (let ((_let_3 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OMPair _let_2 _let_1)))))) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in _let_3 (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_B tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays V_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair _let_1 (tptp.c_Message_Omsg_OMPair (tptp.v_sko__u__1 V_A V_B V_NA V_NB V_evs) _let_3))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent)))))))) (let ((_let_22 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_23 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (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_24 (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_25 (tptp.v_sko__u__1 tptp.v_Aa tptp.v_Ba _let_1 _let_7 tptp.v_evs3))) (let ((_let_26 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_Ba tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair _let_1 (tptp.c_Message_Omsg_OMPair _let_5 (tptp.c_Message_Omsg_OMPair _let_4 (tptp.c_Message_Omsg_OMPair _let_25 _let_8))))) _let_3 tptp.tc_Event_Oevent))) (let ((_let_27 (_let_15))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (tptp.c_in tptp.v_Ba tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_30 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs3))) (let ((_let_31 (tptp.c_in _let_8 (tptp.c_Message_Oparts _let_30) tptp.tc_Message_Omsg))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_17))) (let ((_let_34 (or _let_33 _let_32 _let_29 _let_26))) (let ((_let_35 (_let_21))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_29))) (let ((_let_38 (ASSUME :args (_let_2)))) (let ((_let_39 (ASSUME :args (_let_19)))) (let ((_let_40 (and _let_19 _let_2))) (let ((_let_41 (_let_19 _let_2))) (let ((_let_42 (tptp.c_Message_Oanalz _let_30))) (let ((_let_43 (tptp.c_in _let_8 _let_42 tptp.tc_Message_Omsg))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_31))) (let ((_let_46 (_let_22))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.c_in _let_10 _let_42 tptp.tc_Message_Omsg))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_43))) (let ((_let_51 (_let_23))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 ((not (= (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) false))))) (let ((_let_54 (tptp.c_in _let_11 _let_42 tptp.tc_Message_Omsg))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_48))) (let ((_let_57 (tptp.c_in _let_12 _let_42 tptp.tc_Message_Omsg))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_54))) (let ((_let_60 (tptp.c_in _let_13 _let_42 tptp.tc_Message_Omsg))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_57))) (let ((_let_63 (tptp.v_sko__usf tptp.c_Message_Oagent_OServer _let_13 tptp.v_evs3))) (let ((_let_64 (tptp.c_in (tptp.c_Event_Oevent_OSays _let_63 tptp.c_Message_Oagent_OServer _let_13) _let_3 tptp.tc_Event_Oevent))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_60))) (let ((_let_67 (_let_24))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (not _let_14))) (let ((_let_70 (or _let_33 _let_69 _let_64))) (let ((_let_71 (_let_20))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (ASSUME :args (_let_17)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Omsg_OMPair V_U _let_8)))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_32 _let_29 _let_26 (not _let_34)))) _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_31 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_43 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_48 (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_54 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_57 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_60 (not _let_66)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_33 _let_69 _let_64 (not _let_70)))) _let_73 (ASSUME :args (_let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.v_evs3 tptp.c_Message_Oagent_OServer _let_13 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_71)) _let_72 :args (_let_70 false _let_20)) :args (_let_64 false _let_17 false _let_14 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_63 tptp.c_Message_Oagent_OServer _let_13 tptp.v_evs3 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_67)) _let_68 :args (_let_66 false _let_24)) :args (_let_60 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_1 _let_12 _let_30 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_62 false _let_23)) :args (_let_57 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_5 _let_11 _let_30 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_59 false _let_23)) :args (_let_54 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_4 _let_10 _let_30 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_56 false _let_23)) :args (_let_48 false _let_54 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_9 _let_8 _let_30 QUANTIFIERS_INST_E_MATCHING _let_53)) :args _let_51)) _let_52 :args (_let_50 false _let_23)) :args (_let_43 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_8 _let_30 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) :args _let_46)) _let_47 :args (_let_45 false _let_22)) :args (_let_31 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_38) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_38) (REFL :args (tptp.c_Event_Obad)) (REFL :args (tptp.tc_Message_Oagent)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_39))) :args _let_41)) :args _let_41)) :args (true _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) (REFL :args ((not _let_2))) (REFL :args (_let_37)) :args (or))) _let_39 _let_38 :args (_let_37 true _let_18 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.v_evs3 tptp.v_Ba _let_1 _let_7 tptp.v_Aa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_evs tptp.c_OtwayRees_Ootway _let_16) false)) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_A) (tptp.c_Message_Omsg_OAgent V_B))))))) :args _let_35)) _let_36 :args (_let_34 false _let_21)) :args (_let_26 false _let_17 false _let_31 true _let_29 false _let_34)) _let_28 :args (false false _let_26 false _let_15)) :args (_let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_17 (= tptp.v_NB _let_7) _let_15 _let_14 _let_2 (= tptp.v_NA _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.55  % SZS output end Proof for SWV311-2
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------