TSTP Solution File: SWV287-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV287-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 21:50:13 EDT 2023

% Result   : Unsatisfiable 0.16s 0.42s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : SWV287-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Tue Aug 29 07:57:01 EDT 2023
% 0.11/0.30  % CPUTime    : 
% 0.16/0.39  %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.40  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.9hJSJDIsVF/cvc5---1.0.5_31851.p...
% 0.16/0.40  ------- get file name : TPTP file name is SWV287-2
% 0.16/0.40  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31851.smt2...
% 0.16/0.40  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.42  % SZS status Unsatisfiable for SWV287-2
% 0.16/0.42  % SZS output start Proof for SWV287-2
% 0.16/0.42  (
% 0.16/0.42  (let ((_let_1 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_NA $$unsorted) (V_A $$unsorted) (V_K $$unsorted) (V_NB $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OKey V_K))) (let ((_let_3 (tptp.c_Message_Omsg_OMPair V_NB _let_2))) (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_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA _let_2)) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) _let_3)))) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in _let_2 (tptp.c_Message_Oanalz (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 V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair V_NA _let_3)) _let_1 tptp.tc_Event_Oevent)))))))) (let ((_let_2 (forall ((V_evs $$unsorted) (V_B_H $$unsorted) (V_A $$unsorted) (V_NA $$unsorted) (V_K $$unsorted) (V_B $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OKey V_K))) (let ((_let_3 (tptp.c_Public_OshrK V_A))) (let ((_let_4 (tptp.c_Message_Omsg_OCrypt _let_3 (tptp.c_Message_Omsg_OMPair V_NA _let_2)))) (let ((_let_5 (tptp.c_Message_Omsg_OAgent V_B))) (let ((_let_6 (tptp.c_Message_Omsg_OAgent V_A))) (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_OSays V_B_H V_A (tptp.c_Message_Omsg_OMPair V_NA _let_4)) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays V_A V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair _let_6 (tptp.c_Message_Omsg_OMPair _let_5 (tptp.c_Message_Omsg_OCrypt _let_3 (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair _let_6 _let_5))))))) _let_1 tptp.tc_Event_Oevent)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent) (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair _let_4 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair (tptp.v_sko__u8o V_A V_B V_K V_NA V_evs) _let_2))))) _let_1 tptp.tc_Event_Oevent))))))))))) (let ((_let_3 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_4 (tptp.c_in _let_3 (tptp.c_Message_Oanalz (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs)) tptp.tc_Message_Omsg))) (let ((_let_5 (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (let ((_let_6 (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway _let_5))) (let ((_let_7 (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_10 (not _let_9))) (let ((_let_11 (forall ((V_U $$unsorted)) (not (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair V_U (tptp.c_Message_Omsg_OKey tptp.v_K)))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))) (let ((_let_12 (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent))) (let ((_let_13 (tptp.c_Public_OshrK tptp.v_A))) (let ((_let_14 (tptp.c_Message_Omsg_OCrypt _let_13 (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_3)))) (let ((_let_15 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B_H tptp.v_A (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_14)) _let_12 tptp.tc_Event_Oevent))) (let ((_let_16 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_17 (tptp.c_Message_Omsg_OAgent tptp.v_A))) (let ((_let_18 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_A tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_17 (tptp.c_Message_Omsg_OMPair _let_16 (tptp.c_Message_Omsg_OCrypt _let_13 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_17 _let_16))))))) _let_12 tptp.tc_Event_Oevent))) (let ((_let_19 (tptp.v_sko__u8o tptp.v_A tptp.v_B tptp.v_K tptp.v_NA tptp.v_evs))) (let ((_let_20 (tptp.c_Message_Omsg_OMPair _let_19 _let_3))) (let ((_let_21 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_14 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) _let_20)))) _let_12 tptp.tc_Event_Oevent))) (let ((_let_22 (tptp.c_in (tptp.c_Event_Oevent_ONotes tptp.c_Message_Oagent_OSpy (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_20)) _let_12 tptp.tc_Event_Oevent))) (let ((_let_23 (not _let_4))) (let ((_let_24 (not _let_21))) (let ((_let_25 (not _let_6))) (let ((_let_26 (or _let_25 _let_24 _let_23 _let_7 _let_9 _let_22))) (let ((_let_27 (ASSUME :args (_let_10)))) (let ((_let_28 (ASSUME :args (_let_6)))) (let ((_let_29 (not _let_18))) (let ((_let_30 (not _let_15))) (let ((_let_31 (or _let_25 _let_30 _let_29 _let_9 _let_21))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_11))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (_let_1))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (tptp.c_Message_Omsg_OKey V_K))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_9 _let_7 _let_25 _let_23 _let_24 _let_22 (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.v_evs tptp.v_B tptp.v_NA tptp.v_A tptp.v_K _let_19 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_B (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA _let_38)) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB _let_38))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_36)) _let_37 :args (_let_26 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Omsg_OMPair V_U _let_3)))) :args _let_34)) _let_35 :args ((not _let_22) false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_9 _let_29 _let_30 _let_25 _let_21 (not _let_31)))) _let_27 (ASSUME :args (_let_18)) (ASSUME :args (_let_15)) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.v_evs tptp.v_B_H tptp.v_A tptp.v_NA tptp.v_K tptp.v_B QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_evs tptp.c_OtwayRees_Ootway _let_5) false)) (tptp.c_Event_Oevent_OSays V_B_H V_A (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OKey V_K))))) (tptp.c_Message_Omsg_OAgent V_B)))) :args _let_32)) _let_33 :args (_let_31 false _let_2)) :args (_let_21 true _let_9 false _let_18 false _let_15 false _let_6 false _let_31)) (ASSUME :args (_let_4)) _let_28 (ASSUME :args (_let_8)) _let_27 :args (false false _let_26 true _let_22 false _let_21 false _let_4 false _let_6 true _let_7 true _let_9)) :args (_let_18 _let_15 _let_11 _let_10 _let_8 _let_6 _let_4 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))
% 0.16/0.42  )
% 0.16/0.42  % SZS output end Proof for SWV287-2
% 0.16/0.42  % cvc5---1.0.5 exiting
% 0.16/0.42  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------