TSTP Solution File: SWV346-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV346-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 21:50:42 EDT 2023

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV346-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n003.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 04:46:25 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/sandbox/tmp/tmp.MTCiF5ZuJc/cvc5---1.0.5_9105.p...
% 0.21/0.51  ------- get file name : TPTP file name is SWV346-2
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9105.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for SWV346-2
% 0.21/0.53  % SZS output start Proof for SWV346-2
% 0.21/0.54  (
% 0.21/0.54  (let ((_let_1 (tptp.c_Message_Omsg_ONonce tptp.v_NA))) (let ((_let_2 (not (= tptp.v_na _let_1)))) (let ((_let_3 (tptp.c_List_Oset tptp.v_evso tptp.tc_Event_Oevent))) (let ((_let_4 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_5 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_A) _let_4)))) (let ((_let_6 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_B) (tptp.c_Message_Omsg_OMPair _let_4 (tptp.c_Message_Omsg_OMPair tptp.v_na tptp.v_nb)))) _let_5)) _let_3 tptp.tc_Event_Oevent))) (let ((_let_7 (tptp.c_Message_Omsg_ONonce tptp.v_NB))) (let ((_let_8 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_Aa (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_Aa) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent tptp.v_Ba) (tptp.c_Message_Omsg_OMPair _let_4 (tptp.c_Message_Omsg_OMPair _let_1 _let_7)))) tptp.v_X)) _let_3 tptp.tc_Event_Oevent))) (let ((_let_9 (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (let ((_let_10 (tptp.c_in tptp.v_evso tptp.c_Yahalom_Oyahalom _let_9))) (let ((_let_11 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OKey V_K))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) _let_1 tptp.tc_Event_Oevent)) (= V_na V_na_H))))))) (let ((_let_12 (forall ((V_evs $$unsorted) (V_A_H $$unsorted) (V_B_H $$unsorted) (V_K $$unsorted) (V_na_H $$unsorted) (V_nb_H $$unsorted) (V_X_H $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (V_na $$unsorted) (V_nb $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (let ((_let_2 (tptp.c_Message_Omsg_OKey V_K))) (or (not (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A_H (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H)) _let_1 tptp.tc_Event_Oevent)) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer V_A (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)) _let_1 tptp.tc_Event_Oevent)) (= V_na_H V_na))))))) (let ((_let_13 (= _let_1 tptp.v_na))) (let ((_let_14 (not _let_6))) (let ((_let_15 (not _let_8))) (let ((_let_16 (not _let_10))) (let ((_let_17 (or _let_16 _let_15 _let_14 _let_13))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (tptp.c_Message_Omsg_OKey V_K))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.v_evso tptp.v_Aa tptp.v_Ba tptp.v_K _let_1 _let_7 tptp.v_X tptp.v_A tptp.v_B tptp.v_na tptp.v_nb _let_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_evs tptp.c_Yahalom_Oyahalom _let_9) false)) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B_H) (tptp.c_Message_Omsg_OMPair _let_20 (tptp.c_Message_Omsg_OMPair V_na_H V_nb_H)))) V_X_H) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_A) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OAgent V_B) (tptp.c_Message_Omsg_OMPair _let_20 (tptp.c_Message_Omsg_OMPair V_na V_nb)))) V_X)))) :args (_let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_13 _let_16 _let_15 _let_14 _let_19))) (SYMM (ASSUME :args (_let_2))) (ASSUME :args (_let_10)) (ASSUME :args (_let_8)) (ASSUME :args (_let_6)) :args (_let_19 true _let_13 false _let_10 false _let_8 false _let_6)) _let_18 :args (false true _let_17 false _let_12)) :args (_let_11 _let_10 _let_8 _let_6 _let_2)))))))))))))))))))))))
% 0.21/0.54  )
% 0.21/0.54  % SZS output end Proof for SWV346-2
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------