TSTP Solution File: SWV318-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV318-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 21:50:28 EDT 2023

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWV318-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n011.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 05:44:26 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Ap1H5ZPuUS/cvc5---1.0.5_26322.p...
% 0.21/0.51  ------- get file name : TPTP file name is SWV318-2
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26322.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58  % SZS status Unsatisfiable for SWV318-2
% 0.21/0.58  % SZS output start Proof for SWV318-2
% 0.21/0.59  (
% 0.21/0.59  (let ((_let_1 (tptp.c_in tptp.v_A tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_2 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evs4))) (let ((_let_3 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X _let_2 tptp.tc_Message_Omsg)))) (let ((_let_4 (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK tptp.v_A)))) (let ((_let_5 (tptp.c_in _let_4 _let_3 tptp.tc_Message_Omsg))) (let ((_let_6 (or _let_5 _let_1))) (let ((_let_7 (not _let_5))) (let ((_let_8 (not _let_1))) (let ((_let_9 (or _let_8 _let_7))) (let ((_let_10 (tptp.c_Message_Oparts _let_2))) (let ((_let_11 (tptp.c_in _let_4 _let_10 tptp.tc_Message_Omsg))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_1 _let_12))) (let ((_let_14 (tptp.c_List_Oset tptp.v_evs4 tptp.tc_Event_Oevent))) (let ((_let_15 (tptp.c_Message_Omsg_OCrypt (tptp.c_Public_OshrK tptp.v_B) (tptp.c_Message_Omsg_OMPair (tptp.c_Message_Omsg_ONonce tptp.v_NB) (tptp.c_Message_Omsg_OKey tptp.v_K))))) (let ((_let_16 (tptp.c_Message_Omsg_OMPair tptp.v_X _let_15))) (let ((_let_17 (tptp.c_Message_Omsg_ONonce tptp.v_NA))) (let ((_let_18 (tptp.c_Message_Omsg_OMPair _let_17 _let_16))) (let ((_let_19 (tptp.c_in (tptp.c_Event_Oevent_OGets tptp.v_B _let_18) _let_14 tptp.tc_Event_Oevent))) (let ((_let_20 (tptp.c_in tptp.v_evs4 tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent)))) (let ((_let_21 (forall ((V_A $$unsorted) (V_evs $$unsorted)) (or (not (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent)) (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg))))) (let ((_let_22 (forall ((V_evs $$unsorted) (V_B $$unsorted) (V_X $$unsorted)) (let ((_let_1 (tptp.c_List_Oset V_evs tptp.tc_Event_Oevent))) (or (not (tptp.c_in V_evs tptp.c_OtwayRees_Ootway (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (not (tptp.c_in (tptp.c_Event_Oevent_OGets V_B V_X) _let_1 tptp.tc_Event_Oevent)) (tptp.c_in (tptp.c_Event_Oevent_OSays (tptp.v_sko__usf V_B V_X V_evs) V_B V_X) _let_1 tptp.tc_Event_Oevent)))))) (let ((_let_23 (forall ((V_X $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)) (= (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) _let_1)))))) (let ((_let_24 (forall ((V_H $$unsorted)) (= (tptp.c_Message_Oparts (tptp.c_Message_Oanalz V_H)) (tptp.c_Message_Oparts V_H))))) (let ((_let_25 (forall ((V_X $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_X V_H tptp.tc_Message_Omsg)) (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_26 (forall ((V_X $$unsorted) (V_Y $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in (tptp.c_Message_Omsg_OMPair V_X V_Y) _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_27 (forall ((V_X $$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_Y _let_1 tptp.tc_Message_Omsg)))))) (let ((_let_28 (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_29 (tptp.c_in _let_4 _let_2 tptp.tc_Message_Omsg))) (let ((_let_30 (or _let_8 _let_29))) (let ((_let_31 (_let_21))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (not _let_30))) (let ((_let_34 (not _let_29))) (let ((_let_35 (or _let_34 _let_11))) (let ((_let_36 (_let_25))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 ((not (= (tptp.c_in V_X (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) (let ((_let_39 (tptp.c_Message_Oanalz _let_2))) (let ((_let_40 (tptp.c_Message_Oparts _let_39))) (let ((_let_41 (= _let_10 _let_40))) (let ((_let_42 (= _let_10 _let_3))) (let ((_let_43 (_let_24))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Oanalz V_H)))) :args _let_43))) _let_44 :args (_let_41 false _let_24)))) (let ((_let_46 (tptp.c_in tptp.v_X _let_10 tptp.tc_Message_Omsg))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_42))) (let ((_let_49 (forall ((V_X $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Oparts V_H))) (or (not (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)) (= _let_1 (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (tptp.c_in _let_16 _let_10 tptp.tc_Message_Omsg))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_46))) (let ((_let_54 (_let_26))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (tptp.c_in _let_16 _let_40 tptp.tc_Message_Omsg))) (let ((_let_57 (tptp.c_in _let_18 _let_40 tptp.tc_Message_Omsg))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56))) (let ((_let_60 (_let_27))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (tptp.c_in _let_18 _let_39 tptp.tc_Message_Omsg))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_57))) (let ((_let_65 (tptp.v_sko__usf tptp.v_B _let_18 tptp.v_evs4))) (let ((_let_66 (tptp.c_in (tptp.c_Event_Oevent_OSays _let_65 tptp.v_B _let_18) _let_14 tptp.tc_Event_Oevent))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_62))) (let ((_let_69 (_let_28))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (not _let_19))) (let ((_let_72 (not _let_20))) (let ((_let_73 (or _let_72 _let_71 _let_66))) (let ((_let_74 (_let_22))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (not _let_41))) (let ((_let_77 (and _let_41 _let_56))) (let ((_let_78 (ASSUME :args (_let_56)))) (let ((_let_79 (APPLY_UF tptp.c_in))) (let ((_let_80 (REFL :args (tptp.tc_Message_Omsg)))) (let ((_let_81 (ASSUME :args (_let_41)))) (let ((_let_82 (SYMM _let_81))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_42 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_46 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_81) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_16)) (SYMM _let_82) _let_80 :args _let_79) (TRUE_INTRO _let_78))) :args (_let_56 _let_41))) :args (_let_41 _let_56))) :args (true _let_77)) :args ((or _let_76 _let_51 (not _let_56)))) _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_56 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_57 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_62 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_72 _let_71 _let_66 (not _let_73)))) (ASSUME :args (_let_20)) (ASSUME :args (_let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.v_evs4 tptp.v_B _let_18 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_74)) _let_75 :args (_let_73 false _let_22)) :args (_let_66 false _let_20 false _let_19 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_65 tptp.v_B _let_18 tptp.v_evs4 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_69)) _let_70 :args (_let_68 false _let_28)) :args (_let_62 false _let_66 false _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_18 _let_39 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_64 false _let_25)) :args (_let_57 false _let_62 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_17 _let_16 _let_39 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Oparts V_H) (tptp.c_Message_Omsg_OMPair V_X V_Y)))) :args _let_60)) _let_61 :args (_let_59 false _let_27)) :args (_let_56 false _let_57 false _let_59)) :args (_let_51 false _let_41 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.v_X _let_15 _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Message_Omsg_OMPair V_X V_Y) (tptp.c_Message_Oparts V_H)))) :args _let_54)) _let_55 :args (_let_53 false _let_26)) :args (_let_46 false _let_51 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_X _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_insert V_X V_H tptp.tc_Message_Omsg)))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_42 false _let_46 false _let_48)))) (let ((_let_84 (not _let_42))) (let ((_let_85 (or))) (let ((_let_86 (_let_7))) (let ((_let_87 (REFL :args (_let_76)))) (let ((_let_88 (REFL :args (_let_84)))) (let ((_let_89 (and _let_12 _let_42 _let_41))) (let ((_let_90 (_let_12))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (REFL :args (_let_4)))) (let ((_let_93 (ASSUME :args (_let_42)))) (let ((_let_94 (SYMM _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_89)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_81 _let_93) (SCOPE (FALSE_ELIM (TRANS (CONG _let_92 (TRANS _let_94 _let_81) _let_80 :args _let_79) (CONG _let_92 _let_82 _let_80 :args _let_79) (FALSE_INTRO _let_91))) :args (_let_12 _let_41 _let_42))) :args (_let_12 _let_42 _let_41))) :args (true _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) _let_88 _let_87 (REFL :args _let_86) :args _let_85)) :args ((or _let_11 _let_7 _let_84 _let_76))) _let_83 _let_45 (REORDERING (ASSUME :args (_let_6)) :args ((or _let_1 _let_5))) (ASSUME :args (_let_13)) :args (_let_1 false _let_42 false _let_41 false _let_5 true _let_11)))) (let ((_let_96 (and _let_7 _let_42 _let_41))) (let ((_let_97 (_let_7 _let_42 _let_41))) (let ((_let_98 (ASSUME :args _let_86))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.v_A tptp.v_evs4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs) tptp.tc_Message_Omsg) true))))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_8 _let_29 _let_33))) _let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_11 _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_96)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_93 _let_81) (SCOPE (FALSE_ELIM (TRANS (CONG _let_92 _let_81 _let_80 :args _let_79) (CONG _let_92 (TRANS _let_82 (SYMM _let_94)) _let_80 :args _let_79) (FALSE_INTRO _let_98))) :args _let_97)) :args _let_97)) :args (true _let_96)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_5))) _let_88 _let_87 (REFL :args _let_90) :args _let_85)) :args ((or _let_12 _let_5 _let_84 _let_76))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_9)) _let_95 :args (_let_7 false _let_1)) _let_83 _let_45 :args (_let_12 true _let_5 false _let_42 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_4 _let_2 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_36)) _let_37 :args (_let_35 false _let_25)) :args (_let_34 true _let_11 false _let_35)) :args (_let_33 false _let_1 true _let_29)) _let_32 :args (false true _let_30 false _let_21)) :args (_let_28 _let_27 _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_A T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a))) _let_20 _let_19 _let_13 _let_9 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.59  )
% 0.21/0.59  % SZS output end Proof for SWV318-2
% 0.21/0.59  % cvc5---1.0.5 exiting
% 0.21/0.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------