TSTP Solution File: SWV302-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 21:50:20 EDT 2023

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWV302-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 03:48:10 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qoXcaYlwdE/cvc5---1.0.5_20141.p...
% 0.22/0.50  ------- get file name : TPTP file name is SWV302-2
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20141.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.52  % SZS status Unsatisfiable for SWV302-2
% 0.22/0.52  % SZS output start Proof for SWV302-2
% 0.22/0.53  (
% 0.22/0.53  (let ((_let_1 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_2 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts 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_3 (forall ((V_c $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg))))) (let ((_let_4 (tptp.c_List_Oset tptp.v_evs2 tptp.tc_Event_Oevent))) (let ((_let_5 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_6 (tptp.c_Message_Omsg_OMPair tptp.v_NB _let_5))) (let ((_let_7 (tptp.c_Public_OshrK tptp.v_B))) (let ((_let_8 (tptp.c_Message_Omsg_OCrypt _let_7 _let_6))) (let ((_let_9 (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 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_5)) _let_8))) _let_4 tptp.tc_Event_Oevent))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs2))) (let ((_let_12 (tptp.c_Message_Oparts _let_11))) (let ((_let_13 (tptp.c_in _let_8 _let_12 tptp.tc_Message_Omsg))) (let ((_let_14 (tptp.c_Message_Omsg_ONonce tptp.v_NBa))) (let ((_let_15 (tptp.c_in _let_14 (tptp.c_Event_Oused tptp.v_evs2) tptp.tc_Message_Omsg))) (let ((_let_16 (not _let_15))) (let ((_let_17 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_2 (tptp.c_Public_OshrK tptp.v_B))) (let ((_let_3 (tptp.c_Message_Omsg_OCrypt _let_2 (tptp.c_Message_Omsg_OMPair tptp.v_NB _let_1)))) (let ((_let_4 (tptp.c_List_Oset tptp.v_evs2 tptp.tc_Event_Oevent))) (let ((_let_5 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_6 (tptp.c_Message_Omsg_OAgent tptp.v_A))) (or (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.c_Message_Oagent_OServer tptp.v_B (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_A) (tptp.c_Message_Omsg_OMPair tptp.v_NA _let_1)) _let_3))) _let_4 tptp.tc_Event_Oevent) (not (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_6 (tptp.c_Message_Omsg_OMPair _let_5 (tptp.c_Message_Omsg_OMPair V_U (tptp.c_Message_Omsg_OCrypt _let_2 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OMPair _let_6 _let_5))))))))) _let_4 tptp.tc_Event_Oevent)) (not (tptp.c_in _let_3 (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs2)) tptp.tc_Message_Omsg)))))))))))) (let ((_let_18 (= tptp.v_NB _let_14))) (let ((_let_19 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_20 (tptp.c_Message_Omsg_OAgent tptp.v_A))) (let ((_let_21 (tptp.c_Message_Omsg_OCrypt _let_7 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OMPair _let_20 _let_19)))))) (let ((_let_22 (tptp.c_in (tptp.c_Event_Oevent_OSays tptp.v_B tptp.c_Message_Oagent_OServer (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair _let_20 (tptp.c_Message_Omsg_OMPair _let_19 (tptp.c_Message_Omsg_OMPair tptp.v_x _let_21))))) _let_4 tptp.tc_Event_Oevent))) (let ((_let_23 (or _let_22 _let_18))) (let ((_let_24 (forall ((V_U $$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_U (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 tptp.v_NB (tptp.c_Message_Omsg_OMPair _let_2 _let_1))))))))) (tptp.c_List_Oset tptp.v_evs2 tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))) (let ((_let_25 (ASSUME :args (_let_13)))) (let ((_let_26 (tptp.c_in tptp.v_NB _let_12 tptp.tc_Message_Omsg))) (let ((_let_27 (tptp.c_in _let_14 _let_12 tptp.tc_Message_Omsg))) (let ((_let_28 (not _let_18))) (let ((_let_29 (tptp.c_in _let_6 _let_12 tptp.tc_Message_Omsg))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_26))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_13))) (let ((_let_35 (or _let_34 _let_29))) (let ((_let_36 (_let_1))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (not _let_27))) (let ((_let_39 (or _let_38 _let_15))) (let ((_let_40 (_let_3))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (ASSUME :args (_let_26)))) (let ((_let_43 (ASSUME :args (_let_18)))) (let ((_let_44 (ASSUME :args (_let_38)))) (let ((_let_45 (_let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_45) :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Omsg_OMPair V_U _let_21)))) :args _let_45)) :args ((or (not _let_22) (not _let_24)))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_42 _let_43 _let_44) :args (_let_18 _let_38 _let_26)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_44)) (CONG (SYMM _let_43) (REFL :args (_let_12)) (REFL :args (tptp.tc_Message_Omsg)) :args (APPLY_UF tptp.c_in)) (TRUE_INTRO _let_42))) :args (_let_26 _let_18 _let_38)) :args ((not (and _let_18 _let_38 _let_26)) SB_LITERAL))) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_27))) (REFL :args ((not _let_26))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_15 _let_38 (not _let_39)))) (ASSUME :args (_let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_14 tptp.v_evs2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_Event_Oused V_evs) tptp.tc_Message_Omsg) true))))) :args _let_40)) _let_41 :args (_let_39 false _let_3)) :args (_let_38 true _let_15 false _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_26 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_29 (not _let_35)))) _let_25 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_7 _let_6 _let_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) false))))) :args _let_36)) _let_37 :args (_let_35 false _let_1)) :args (_let_29 false _let_13 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.v_NB _let_5 _let_11 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) false))))) :args _let_32)) _let_33 :args (_let_31 false _let_2)) :args (_let_26 false _let_29 false _let_31)) :args (_let_28 true _let_27 false _let_26)) :args (_let_22 true _let_18)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_10)) _let_25 :args (_let_24 true _let_9 false _let_13)) :args (false false _let_22 false _let_24)) :args (_let_23 _let_17 _let_16 _let_13 _let_10 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.53  )
% 0.22/0.53  % SZS output end Proof for SWV302-2
% 0.22/0.53  % cvc5---1.0.5 exiting
% 0.22/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------