TSTP Solution File: SWV301-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV301-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 21:50:19 EDT 2023

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWV301-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 10:12:11 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.k3gKuI7BZ9/cvc5---1.0.5_16196.p...
% 0.19/0.49  ------- get file name : TPTP file name is SWV301-2
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16196.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52  % SZS status Unsatisfiable for SWV301-2
% 0.19/0.52  % SZS output start Proof for SWV301-2
% 0.19/0.53  (
% 0.19/0.53  (let ((_let_1 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a) (tptp.c_in V_c V_A T_a))))) (let ((_let_2 (forall ((V_evs $$unsorted) (V_A $$unsorted)) (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_Message_Omsg_OKey (tptp.c_Public_OshrK V_A)) (tptp.c_Message_Oparts (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy V_evs)) tptp.tc_Message_Omsg)) (tptp.c_in V_A tptp.c_Event_Obad tptp.tc_Message_Oagent))))) (let ((_let_3 (forall ((V_c $$unsorted) (V_H $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg)) (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg))))) (let ((_let_4 (forall ((V_Z $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Osynth (tptp.c_Message_Oanalz V_H)))) (or (not (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg)) (not (tptp.c_in V_X _let_1 tptp.tc_Message_Omsg)) (tptp.c_in V_Z (tptp.c_union _let_1 (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) tptp.tc_Message_Omsg)))))) (let ((_let_5 (forall ((V_K $$unsorted) (V_X $$unsorted) (V_H $$unsorted)) (let ((_let_1 (tptp.c_Message_Omsg_OCrypt V_K V_X))) (or (not (tptp.c_in _let_1 (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg)) (tptp.c_in _let_1 V_H tptp.tc_Message_Omsg) (tptp.c_in (tptp.c_Message_Omsg_OKey V_K) V_H tptp.tc_Message_Omsg)))))) (let ((_let_6 (tptp.c_in tptp.c_Message_Oagent_OSpy tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_7 (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_evsf 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_evsf)) tptp.tc_Message_Omsg)))))))))))) (let ((_let_8 (= tptp.v_B tptp.c_Message_Oagent_OSpy))) (let ((_let_9 (tptp.c_List_Oset tptp.v_evsf tptp.tc_Event_Oevent))) (let ((_let_10 (tptp.c_Message_Omsg_OAgent tptp.v_B))) (let ((_let_11 (tptp.c_Message_Omsg_OAgent tptp.v_A))) (let ((_let_12 (tptp.c_Public_OshrK tptp.v_B))) (let ((_let_13 (tptp.c_Message_Omsg_OCrypt _let_12 (tptp.c_Message_Omsg_OMPair tptp.v_NA (tptp.c_Message_Omsg_OMPair tptp.v_NB (tptp.c_Message_Omsg_OMPair _let_11 _let_10)))))) (let ((_let_14 (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_11 (tptp.c_Message_Omsg_OMPair _let_10 (tptp.c_Message_Omsg_OMPair tptp.v_x _let_13))))) _let_9 tptp.tc_Event_Oevent))) (let ((_let_15 (or _let_14 _let_8))) (let ((_let_16 (tptp.c_Message_Omsg_OKey tptp.v_K))) (let ((_let_17 (tptp.c_Message_Omsg_OMPair tptp.v_NB _let_16))) (let ((_let_18 (tptp.c_Message_Omsg_OCrypt _let_12 _let_17))) (let ((_let_19 (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_16)) _let_18))) _let_9 tptp.tc_Event_Oevent))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.c_Event_Oknows tptp.c_Message_Oagent_OSpy tptp.v_evsf))) (let ((_let_22 (tptp.c_in _let_18 (tptp.c_Message_Oparts (tptp.c_insert tptp.v_X _let_21 tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg))) (let ((_let_23 (tptp.c_Message_Oanalz _let_21))) (let ((_let_24 (tptp.c_Message_Osynth _let_23))) (let ((_let_25 (tptp.c_in tptp.v_X _let_24 tptp.tc_Message_Omsg))) (let ((_let_26 (tptp.tc_List_Olist tptp.tc_Event_Oevent))) (let ((_let_27 (tptp.c_in tptp.v_evsf tptp.c_OtwayRees_Ootway _let_26))) (let ((_let_28 (tptp.c_in tptp.v_B tptp.c_Event_Obad tptp.tc_Message_Oagent))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.c_Message_Oparts _let_21))) (let ((_let_31 (tptp.c_Message_Omsg_OKey _let_12))) (let ((_let_32 (tptp.c_in _let_31 _let_30 tptp.tc_Message_Omsg))) (let ((_let_33 (tptp.c_in _let_31 _let_23 tptp.tc_Message_Omsg))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32))) (let ((_let_36 (_let_3))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (not _let_35))) (let ((_let_39 (tptp.c_in _let_18 _let_23 tptp.tc_Message_Omsg))) (let ((_let_40 (tptp.c_in _let_18 _let_24 tptp.tc_Message_Omsg))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_41 _let_39 _let_33))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (tptp.c_in _let_18 _let_30 tptp.tc_Message_Omsg))) (let ((_let_46 (tptp.c_in _let_18 (tptp.c_union _let_24 _let_30 tptp.tc_Message_Omsg) tptp.tc_Message_Omsg))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_47 _let_45 _let_40))) (let ((_let_49 (_let_1))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (not _let_25))) (let ((_let_52 (not _let_22))) (let ((_let_53 (or _let_52 _let_51 _let_46))) (let ((_let_54 (_let_4))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (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_evsf tptp.tc_Event_Oevent) tptp.tc_Event_Oevent))))))) (let ((_let_57 (not _let_56))) (let ((_let_58 (not _let_8))) (let ((_let_59 (ASSUME :args (_let_29)))) (let ((_let_60 (ASSUME :args (_let_6)))) (let ((_let_61 (_let_56))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (ASSUME :args (_let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (tptp.v_x QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Message_Omsg_OMPair V_U _let_13)))) :args _let_61)) :args ((or (not _let_14) _let_57))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_15)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_60)) (CONG (SYMM (ASSUME :args (_let_8))) (REFL :args (tptp.c_Event_Obad)) (REFL :args (tptp.tc_Message_Oagent)) :args (APPLY_UF tptp.c_in)) (FALSE_INTRO _let_59))) :args (_let_29 _let_8 _let_6))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) (REFL :args (_let_58)) (REFL :args ((not _let_6))) :args (or))) _let_60 _let_59 :args (_let_58 false _let_6 true _let_28)) :args (_let_14 true _let_8)) :args (_let_57 false _let_14)) :args ((not _let_45) true _let_19 true _let_56)))) (let ((_let_63 (not _let_39))) (let ((_let_64 (or _let_63 _let_45))) (let ((_let_65 (not _let_32))) (let ((_let_66 (not _let_27))) (let ((_let_67 (or _let_66 _let_65 _let_28))) (let ((_let_68 (_let_2))) (let ((_let_69 (ASSUME :args _let_68))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_31 _let_21 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_Message_Oanalz V_H) tptp.tc_Message_Omsg) false))))) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_32 _let_34 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_28 _let_66 _let_65 (not _let_67)))) _let_59 (ASSUME :args (_let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (tptp.v_evsf tptp.v_B QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_evs tptp.c_OtwayRees_Ootway _let_26) false)) (tptp.c_Public_OshrK V_A)))) :args _let_68)) _let_69 :args (_let_67 false _let_2)) :args (_let_65 true _let_28 false _let_27 false _let_67)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_39 _let_41 _let_33 (not _let_42)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_45 _let_63 (not _let_64)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_18 _let_21 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_Message_Oparts V_H) tptp.tc_Message_Omsg) true))))) :args _let_36)) _let_37 :args (_let_64 false _let_3)) :args (_let_63 true _let_45 false _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_45 _let_47 _let_40 (not _let_48)))) _let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_51 _let_52 _let_46 (not _let_53)))) (ASSUME :args (_let_25)) (ASSUME :args (_let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_18 tptp.v_X _let_21 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_Z (tptp.c_Message_Oparts (tptp.c_insert V_X V_H tptp.tc_Message_Omsg)) tptp.tc_Message_Omsg) false))))) :args _let_54)) _let_55 :args (_let_53 false _let_4)) :args (_let_46 false _let_25 false _let_22 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_18 _let_24 _let_30 tptp.tc_Message_Omsg QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_union V_A V_B T_a) T_a) false))))) :args _let_49)) _let_50 :args (_let_48 false _let_1)) :args (_let_40 true _let_45 false _let_46 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_12 _let_17 _let_23 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Message_Omsg_OCrypt V_K V_X) (tptp.c_Message_Osynth V_H) tptp.tc_Message_Omsg) false))))) :args _let_43)) _let_44 :args (_let_42 false _let_5)) :args (_let_33 true _let_39 false _let_40 false _let_42)) :args (_let_38 true _let_32 false _let_33)) _let_37 :args (false true _let_35 false _let_3)) :args (_let_29 _let_27 _let_25 _let_22 _let_20 _let_15 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.53  )
% 0.19/0.53  % SZS output end Proof for SWV301-2
% 0.19/0.53  % cvc5---1.0.5 exiting
% 0.19/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------