TSTP Solution File: SWV286-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV286-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 21:50:12 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
% 0.00/0.13  % Problem    : SWV286-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n031.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 10:51:56 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/sandbox/tmp/tmp.0wS4ts95Kp/cvc5---1.0.5_20969.p...
% 0.21/0.50  ------- get file name : TPTP file name is SWV286-2
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20969.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for SWV286-2
% 0.21/0.53  % SZS output start Proof for SWV286-2
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (forall ((V_V $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_2 (tptp.c_Message_Omsg_OAgent tptp.v_A))) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair _let_1 (tptp.c_Message_Omsg_OMPair V_V (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair V_U (tptp.c_Message_Omsg_OMPair _let_2 _let_1))))))))) (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))) (let ((_let_2 (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (let ((_let_3 (tptp.c_in tptp.v_evs tptp.c_OtwayRees_Ootway _let_2))) (let ((_let_4 (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.c_List_Oset tptp.v_evs tptp.tc_Event_Oevent))) (let ((_let_9 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_10 (tptp.c_Message_Omsg_OAgent tptp.v_A))) (let ((_let_11 (tptp.c_Message_Omsg_OMPair _let_10 _let_9))) (let ((_let_12 (tptp.c_Public_OshrK tptp.v_A))) (let ((_let_13 (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_10 (tptp.c_Message_Omsg_OMPair _let_9 (tptp.c_Message_Omsg_OCrypt _let_12 (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_11)))))) _let_8 tptp.tc_Event_Oevent))) (let ((_let_14 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_15 (tptp.c_Message_Omsg_OCrypt _let_12 (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_14)))) (let ((_let_16 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B_H tptp.v_A (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_15)) _let_8 tptp.tc_Event_Oevent))) (let ((_let_17 (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_OAgent V_B))) (let ((_let_3 (tptp.c_Message_Omsg_OAgent V_A))) (let ((_let_4 (tptp.c_Public_OshrK V_B))) (let ((_let_5 (tptp.c_Message_Omsg_OKey V_K))) (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_5)) (tptp.c_Message_Omsg_OCrypt _let_4 (tptp.c_Message_Omsg_OMPair V_NB _let_5))))) _let_1 tptp.tc_Event_Oevent)) (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_3 (tptp.c_Message_Omsg_OMPair _let_2 (tptp.c_Message_Omsg_OMPair (tptp.v_sko__vEb V_A V_B V_NA V_NB V_evs) (tptp.c_Message_Omsg_OCrypt _let_4 (tptp.c_Message_Omsg_OMPair V_NA (tptp.c_Message_Omsg_OMPair V_NB (tptp.c_Message_Omsg_OMPair _let_3 _let_2))))))))) _let_1 tptp.tc_Event_Oevent)))))))))) (let ((_let_18 (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_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_Public_OshrK tptp.v_B))) (let ((_let_21 (tptp.v_sko__vEb tptp.v_A tptp.v_B tptp.v_NA _let_19 tptp.v_evs))) (let ((_let_22 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_10 (tptp.c_Message_Omsg_OMPair _let_9 (tptp.c_Message_Omsg_OMPair _let_21 (tptp.c_Message_Omsg_OCrypt _let_20 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_19 _let_11)))))))) _let_8 tptp.tc_Event_Oevent))) (let ((_let_23 (_let_1))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (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_15 (tptp.c_Message_Omsg_OCrypt _let_20 (tptp.c_Message_Omsg_OMPair _let_19 _let_14))))) _let_8 tptp.tc_Event_Oevent))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_3))) (let ((_let_28 (or _let_27 _let_26 _let_4 _let_22))) (let ((_let_29 (_let_17))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (tptp.c_Message_Omsg_OKey V_K))) (let ((_let_32 (not _let_13))) (let ((_let_33 (not _let_16))) (let ((_let_34 (or _let_27 _let_33 _let_32 _let_6 _let_25))) (let ((_let_35 (_let_18))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (ASSUME :args (_let_3)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_21 _let_19 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Omsg_OMPair V_V (tptp.c_Message_Omsg_OCrypt _let_20 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair V_U _let_11))))))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_4 _let_27 _let_26 _let_22 (not _let_28)))) (ASSUME :args (_let_5)) _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_6 _let_33 _let_32 _let_27 _let_25 (not _let_34)))) (ASSUME :args (_let_7)) (ASSUME :args (_let_16)) (ASSUME :args (_let_13)) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :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_2) 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_35)) _let_36 :args (_let_34 false _let_18)) :args (_let_25 true _let_6 false _let_16 false _let_13 false _let_3 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :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_31)) (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK V_B) (tptp.c_Message_Omsg_OMPair V_NB _let_31))))) (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent) tptp.tc_Event_Oevent) false))))) :args _let_29)) _let_30 :args (_let_28 false _let_17)) :args (_let_22 true _let_4 false _let_3 false _let_25 false _let_28)) _let_24 :args (false false _let_22 false _let_1)) :args (_let_18 _let_17 _let_16 _let_13 _let_7 _let_5 _let_3 _let_1))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for SWV286-2
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------