TSTP Solution File: SWV765-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n027.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 23:29:36 EDT 2023
% Result : Unsatisfiable 155.97s 22.88s
% Output : Refutation 155.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 78
% Syntax : Number of formulae : 251 ( 81 unt; 0 def)
% Number of atoms : 458 ( 97 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 389 ( 182 ~; 186 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 10 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 22 prp; 0-3 aty)
% Number of functors : 48 ( 48 usr; 33 con; 0-3 aty)
% Number of variables : 193 (; 193 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f426951,plain,
$false,
inference(avatar_sat_refutation,[],[f19320,f92923,f103468,f104327,f128253,f153490,f156578,f158492,f165683,f166635,f166685,f167040,f167478,f233699,f395900,f396965,f397849,f399671,f399674,f399675,f402198,f405822,f415177]) ).
fof(f415177,plain,
( ~ spl27_14599
| ~ spl27_14737 ),
inference(avatar_contradiction_clause,[],[f415176]) ).
fof(f415176,plain,
( $false
| ~ spl27_14599
| ~ spl27_14737 ),
inference(subsumption_resolution,[],[f412435,f400698]) ).
fof(f400698,plain,
( ! [X2] : c_Public_Okeymode_OEncryption != c_Message_Omsg_OAgent(X2)
| ~ spl27_14737 ),
inference(backward_demodulation,[],[f703,f397663]) ).
fof(f397663,plain,
( c_Public_Okeymode_OEncryption = sF24
| ~ spl27_14737 ),
inference(avatar_component_clause,[],[f397661]) ).
fof(f397661,plain,
( spl27_14737
<=> c_Public_Okeymode_OEncryption = sF24 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14737])]) ).
fof(f703,plain,
! [X2] : sF24 != c_Message_Omsg_OAgent(X2),
inference(superposition,[],[f482,f575]) ).
fof(f575,plain,
c_Message_Omsg_OCrypt(sF15,sF23) = sF24,
introduced(function_definition,[]) ).
fof(f482,axiom,
! [X1,X37,X17] : c_Message_Omsg_OCrypt(X1,X17) != c_Message_Omsg_OAgent(X37),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I18_J_0) ).
fof(f412435,plain,
( c_Public_Okeymode_OEncryption = c_Message_Omsg_OAgent(v_A)
| ~ spl27_14599 ),
inference(backward_demodulation,[],[f569,f395749]) ).
fof(f395749,plain,
( c_Public_Okeymode_OEncryption = sF18
| ~ spl27_14599 ),
inference(avatar_component_clause,[],[f395747]) ).
fof(f395747,plain,
( spl27_14599
<=> c_Public_Okeymode_OEncryption = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14599])]) ).
fof(f569,plain,
c_Message_Omsg_OAgent(v_A) = sF18,
introduced(function_definition,[]) ).
fof(f405822,plain,
( ~ spl27_14674
| ~ spl27_14691 ),
inference(avatar_split_clause,[],[f404343,f397032,f396715]) ).
fof(f396715,plain,
( spl27_14674
<=> c_Public_Okeymode_OEncryption = sF21 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14674])]) ).
fof(f397032,plain,
( spl27_14691
<=> c_Public_Okeymode_OEncryption = sF22 ),
introduced(avatar_definition,[new_symbols(naming,[spl27_14691])]) ).
fof(f404343,plain,
( c_Public_Okeymode_OEncryption != sF21
| ~ spl27_14691 ),
inference(backward_demodulation,[],[f1129,f397034]) ).
fof(f397034,plain,
( c_Public_Okeymode_OEncryption = sF22
| ~ spl27_14691 ),
inference(avatar_component_clause,[],[f397032]) ).
fof(f1129,plain,
sF21 != sF22,
inference(subsumption_resolution,[],[f1127,f680]) ).
fof(f680,plain,
sF3 != sF16,
inference(superposition,[],[f678,f567]) ).
fof(f567,plain,
c_Message_Omsg_OAgent(v_B) = sF16,
introduced(function_definition,[]) ).
fof(f678,plain,
! [X0] : sF3 != c_Message_Omsg_OAgent(X0),
inference(superposition,[],[f447,f551]) ).
fof(f551,plain,
hAPP(c_Message_Omsg_OKey,v_K) = sF3,
introduced(function_definition,[]) ).
fof(f447,axiom,
! [X1,X37] : c_Message_Omsg_OAgent(X37) != hAPP(c_Message_Omsg_OKey,X1),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I12_J_0) ).
fof(f1127,plain,
( sF21 != sF22
| sF3 = sF16 ),
inference(superposition,[],[f1051,f573]) ).
fof(f573,plain,
c_Message_Omsg_OMPair(sF16,sF21) = sF22,
introduced(function_definition,[]) ).
fof(f1051,plain,
! [X4,X5] :
( sF21 != c_Message_Omsg_OMPair(X4,X5)
| sF3 = X4 ),
inference(superposition,[],[f500,f572]) ).
fof(f572,plain,
c_Message_Omsg_OMPair(sF3,sF20) = sF21,
introduced(function_definition,[]) ).
fof(f500,axiom,
! [X72,X73,X36,X35] :
( c_Message_Omsg_OMPair(X35,X36) != c_Message_Omsg_OMPair(X72,X73)
| X35 = X72 ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I6_J_0) ).
fof(f402198,plain,
( ~ spl27_14674
| ~ spl27_14737 ),
inference(avatar_split_clause,[],[f400705,f397661,f396715]) ).
fof(f400705,plain,
( c_Public_Okeymode_OEncryption != sF21
| ~ spl27_14737 ),
inference(backward_demodulation,[],[f773,f397663]) ).
fof(f773,plain,
sF21 != sF24,
inference(superposition,[],[f755,f575]) ).
fof(f755,plain,
! [X4,X5] : sF21 != c_Message_Omsg_OCrypt(X4,X5),
inference(superposition,[],[f484,f572]) ).
fof(f484,axiom,
! [X72,X73,X1,X17] : c_Message_Omsg_OCrypt(X1,X17) != c_Message_Omsg_OMPair(X72,X73),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I48_J_0) ).
fof(f399675,plain,
( spl27_14674
| spl27_847
| spl27_921 ),
inference(avatar_split_clause,[],[f332403,f91276,f69703,f396715]) ).
fof(f69703,plain,
( spl27_847
<=> ! [X190] : ~ hBOOL(c_in(c_Public_Okeymode_OSignature,sF4,X190)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_847])]) ).
fof(f91276,plain,
( spl27_921
<=> hBOOL(c_in(sF21,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_921])]) ).
fof(f332403,plain,
( ! [X34979] :
( ~ hBOOL(c_in(c_Public_Okeymode_OSignature,sF4,X34979))
| c_Public_Okeymode_OEncryption = sF21 )
| spl27_921 ),
inference(superposition,[],[f165641,f308235]) ).
fof(f308235,plain,
! [X38] :
( c_Public_Okeymode_OSignature = X38
| c_Public_Okeymode_OEncryption = X38 ),
inference(resolution,[],[f272744,f12]) ).
fof(f12,axiom,
! [X2,X3] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X3)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_bot1E_0) ).
fof(f272744,plain,
! [X8,X7] :
( hBOOL(hAPP(X8,X7))
| c_Public_Okeymode_OEncryption = X7
| c_Public_Okeymode_OSignature = X7 ),
inference(resolution,[],[f124145,f264]) ).
fof(f264,axiom,
! [X2,X3,X10,X5] :
( ~ hBOOL(hAPP(c_Set_Oinsert(X10,X5,X2),X3))
| hBOOL(hAPP(X5,X3))
| X3 = X10 ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_insert__code_0) ).
fof(f124145,plain,
! [X6,X4,X5] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X4,X5),X6))
| c_Public_Okeymode_OEncryption = X6 ),
inference(resolution,[],[f35219,f264]) ).
fof(f35219,plain,
! [X3,X4,X5] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X3,X4),X4),X5)),
inference(forward_demodulation,[],[f35209,f272]) ).
fof(f272,axiom,
! [X2,X3,X10,X5] : c_Set_Oinsert(X3,c_Set_Oinsert(X10,X5,X2),X2) = c_Set_Oinsert(X10,c_Set_Oinsert(X3,X5,X2),X2),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_insert__commute_0) ).
fof(f35209,plain,
! [X3,X4,X5] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,X3,X4),X4),X5)),
inference(resolution,[],[f1481,f5471]) ).
fof(f5471,plain,
! [X78,X79,X76,X77] : hBOOL(hAPP(c_Set_Oinsert(X77,c_Set_Oinsert(X76,X78,X79),X79),X76)),
inference(superposition,[],[f251,f272]) ).
fof(f251,axiom,
! [X2,X3,X5] : hBOOL(hAPP(c_Set_Oinsert(X3,X5,X2),X3)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_insert__code_1) ).
fof(f1481,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2)) ),
inference(resolution,[],[f77,f251]) ).
fof(f77,axiom,
! [X31,X30] :
( ~ hBOOL(hAPP(X30,c_Public_Okeymode_OSignature))
| ~ hBOOL(hAPP(X30,c_Public_Okeymode_OEncryption))
| hBOOL(hAPP(X30,X31)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_keymode_Oinduct_0) ).
fof(f165641,plain,
( ! [X2] : ~ hBOOL(c_in(sF21,sF4,X2))
| spl27_921 ),
inference(resolution,[],[f128476,f493]) ).
fof(f493,axiom,
! [X2,X3,X56] :
( hBOOL(hAPP(X56,X3))
| ~ hBOOL(c_in(X3,X56,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_mem__def_0) ).
fof(f128476,plain,
( ~ hBOOL(hAPP(sF4,sF21))
| spl27_921 ),
inference(resolution,[],[f91278,f1321]) ).
fof(f1321,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(c_in(X1,c_Set_Oinsert(X2,X0,X3),X4))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(resolution,[],[f277,f492]) ).
fof(f492,axiom,
! [X2,X3,X56] :
( ~ hBOOL(hAPP(X56,X3))
| hBOOL(c_in(X3,X56,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_mem__def_1) ).
fof(f277,axiom,
! [X2,X3,X10,X5] :
( hBOOL(hAPP(c_Set_Oinsert(X10,X5,X2),X3))
| ~ hBOOL(hAPP(X5,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_insert__code_2) ).
fof(f91278,plain,
( ~ hBOOL(c_in(sF21,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg))
| spl27_921 ),
inference(avatar_component_clause,[],[f91276]) ).
fof(f399674,plain,
( spl27_14691
| ~ spl27_15037
| spl27_1297 ),
inference(avatar_split_clause,[],[f332675,f166626,f399668,f397032]) ).
fof(f399668,plain,
( spl27_15037
<=> hBOOL(c_in(c_Public_Okeymode_OSignature,sF4,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_15037])]) ).
fof(f166626,plain,
( spl27_1297
<=> hBOOL(c_in(sF22,sF4,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1297])]) ).
fof(f332675,plain,
( ~ hBOOL(c_in(c_Public_Okeymode_OSignature,sF4,tc_Message_Omsg))
| c_Public_Okeymode_OEncryption = sF22
| spl27_1297 ),
inference(superposition,[],[f166627,f308235]) ).
fof(f166627,plain,
( ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| spl27_1297 ),
inference(avatar_component_clause,[],[f166626]) ).
fof(f399671,plain,
( spl27_14737
| spl27_15037 ),
inference(avatar_split_clause,[],[f333091,f399668,f397661]) ).
fof(f333091,plain,
( hBOOL(c_in(c_Public_Okeymode_OSignature,sF4,tc_Message_Omsg))
| c_Public_Okeymode_OEncryption = sF24 ),
inference(superposition,[],[f85941,f308235]) ).
fof(f85941,plain,
hBOOL(c_in(sF24,sF4,tc_Message_Omsg)),
inference(subsumption_resolution,[],[f85932,f1235]) ).
fof(f1235,plain,
! [X7] : hBOOL(c_in(sF25,sF13,X7)),
inference(subsumption_resolution,[],[f1224,f578]) ).
fof(f578,plain,
hBOOL(sF26),
inference(definition_folding,[],[f518,f577,f563,f576,f575,f574,f573,f572,f571,f570,f569,f551,f568,f551,f567,f566]) ).
fof(f566,plain,
hAPP(c_Public_OshrK,v_A) = sF15,
introduced(function_definition,[]) ).
fof(f568,plain,
hAPP(c_Public_OshrK,v_B) = sF17,
introduced(function_definition,[]) ).
fof(f570,plain,
c_Message_Omsg_OMPair(sF3,sF18) = sF19,
introduced(function_definition,[]) ).
fof(f571,plain,
c_Message_Omsg_OCrypt(sF17,sF19) = sF20,
introduced(function_definition,[]) ).
fof(f574,plain,
c_Message_Omsg_OMPair(v_NA,sF22) = sF23,
introduced(function_definition,[]) ).
fof(f576,plain,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,sF24) = sF25,
introduced(function_definition,[]) ).
fof(f563,plain,
c_List_Oset(v_evs,tc_Event_Oevent) = sF13,
introduced(function_definition,[]) ).
fof(f577,plain,
c_in(sF25,sF13,tc_Event_Oevent) = sF26,
introduced(function_definition,[]) ).
fof(f518,axiom,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_conjecture_3) ).
fof(f1224,plain,
! [X7] :
( ~ hBOOL(sF26)
| hBOOL(c_in(sF25,sF13,X7)) ),
inference(superposition,[],[f906,f577]) ).
fof(f906,plain,
! [X3,X6,X4,X5] :
( ~ hBOOL(c_in(X3,X4,X5))
| hBOOL(c_in(X3,X4,X6)) ),
inference(resolution,[],[f493,f492]) ).
fof(f85932,plain,
( ~ hBOOL(c_in(sF25,sF13,tc_Event_Oevent))
| hBOOL(c_in(sF24,sF4,tc_Message_Omsg)) ),
inference(superposition,[],[f9368,f576]) ).
fof(f9368,plain,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X1,X2,X0),sF13,tc_Event_Oevent))
| hBOOL(c_in(X0,sF4,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f9363,f563]) ).
fof(f9363,plain,
! [X2,X0,X1] :
( hBOOL(c_in(X0,sF4,tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X1,X2,X0),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)) ),
inference(superposition,[],[f455,f552]) ).
fof(f552,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs) = sF4,
introduced(function_definition,[]) ).
fof(f455,axiom,
! [X8,X9,X4,X5] :
( hBOOL(c_in(X8,c_Event_Oknows(c_Message_Oagent_OSpy,X9),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X4,X8),c_List_Oset(X9,tc_Event_Oevent),tc_Event_Oevent)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_Says__imp__spies_0) ).
fof(f397849,plain,
( spl27_14737
| ~ spl27_847 ),
inference(avatar_split_clause,[],[f397848,f69703,f397661]) ).
fof(f397848,plain,
( c_Public_Okeymode_OEncryption = sF24
| ~ spl27_847 ),
inference(subsumption_resolution,[],[f333093,f69704]) ).
fof(f69704,plain,
( ! [X190] : ~ hBOOL(c_in(c_Public_Okeymode_OSignature,sF4,X190))
| ~ spl27_847 ),
inference(avatar_component_clause,[],[f69703]) ).
fof(f333093,plain,
! [X35539] :
( hBOOL(c_in(c_Public_Okeymode_OSignature,sF4,X35539))
| c_Public_Okeymode_OEncryption = sF24 ),
inference(superposition,[],[f85951,f308235]) ).
fof(f85951,plain,
! [X4] : hBOOL(c_in(sF24,sF4,X4)),
inference(resolution,[],[f85941,f906]) ).
fof(f396965,plain,
( spl27_14674
| ~ spl27_7419
| spl27_323 ),
inference(avatar_split_clause,[],[f332430,f19240,f358753,f396715]) ).
fof(f358753,plain,
( spl27_7419
<=> hBOOL(hAPP(c_Message_Osynth(sF4),c_Public_Okeymode_OSignature)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_7419])]) ).
fof(f19240,plain,
( spl27_323
<=> hBOOL(c_in(sF21,c_Set_Oinsert(sF7,c_Message_Osynth(sF4),tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_323])]) ).
fof(f332430,plain,
( ~ hBOOL(hAPP(c_Message_Osynth(sF4),c_Public_Okeymode_OSignature))
| c_Public_Okeymode_OEncryption = sF21
| spl27_323 ),
inference(superposition,[],[f233701,f308235]) ).
fof(f233701,plain,
( ~ hBOOL(hAPP(c_Message_Osynth(sF4),sF21))
| spl27_323 ),
inference(resolution,[],[f19242,f1321]) ).
fof(f19242,plain,
( ~ hBOOL(c_in(sF21,c_Set_Oinsert(sF7,c_Message_Osynth(sF4),tc_Message_Omsg),tc_Message_Omsg))
| spl27_323 ),
inference(avatar_component_clause,[],[f19240]) ).
fof(f395900,plain,
( spl27_14599
| spl27_7419
| ~ spl27_310 ),
inference(avatar_split_clause,[],[f331629,f19179,f358753,f395747]) ).
fof(f19179,plain,
( spl27_310
<=> hBOOL(c_in(sF18,c_Set_Oinsert(sF7,c_Message_Osynth(sF4),tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_310])]) ).
fof(f331629,plain,
( hBOOL(hAPP(c_Message_Osynth(sF4),c_Public_Okeymode_OSignature))
| c_Public_Okeymode_OEncryption = sF18
| ~ spl27_310 ),
inference(superposition,[],[f42675,f308235]) ).
fof(f42675,plain,
( hBOOL(hAPP(c_Message_Osynth(sF4),sF18))
| ~ spl27_310 ),
inference(subsumption_resolution,[],[f42612,f657]) ).
fof(f657,plain,
sF7 != sF18,
inference(superposition,[],[f655,f569]) ).
fof(f655,plain,
! [X0] : sF7 != c_Message_Omsg_OAgent(X0),
inference(superposition,[],[f499,f556]) ).
fof(f556,plain,
c_Message_Omsg_ONonce(v_NB) = sF7,
introduced(function_definition,[]) ).
fof(f499,axiom,
! [X1,X37] : c_Message_Omsg_OAgent(X37) != c_Message_Omsg_ONonce(X1),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I10_J_0) ).
fof(f42612,plain,
( sF7 = sF18
| hBOOL(hAPP(c_Message_Osynth(sF4),sF18))
| ~ spl27_310 ),
inference(resolution,[],[f3567,f19180]) ).
fof(f19180,plain,
( hBOOL(c_in(sF18,c_Set_Oinsert(sF7,c_Message_Osynth(sF4),tc_Message_Omsg),tc_Message_Omsg))
| ~ spl27_310 ),
inference(avatar_component_clause,[],[f19179]) ).
fof(f3567,plain,
! [X11,X14,X15,X12,X13] :
( ~ hBOOL(c_in(X12,c_Set_Oinsert(X13,X11,X14),X15))
| X12 = X13
| hBOOL(hAPP(X11,X12)) ),
inference(resolution,[],[f264,f493]) ).
fof(f233699,plain,
( ~ spl27_323
| spl27_1274 ),
inference(avatar_contradiction_clause,[],[f233698]) ).
fof(f233698,plain,
( $false
| ~ spl27_323
| spl27_1274 ),
inference(subsumption_resolution,[],[f233697,f727]) ).
fof(f727,plain,
sF7 != sF21,
inference(superposition,[],[f710,f556]) ).
fof(f710,plain,
! [X2] : sF21 != c_Message_Omsg_ONonce(X2),
inference(superposition,[],[f483,f572]) ).
fof(f483,axiom,
! [X0,X36,X35] : c_Message_Omsg_OMPair(X35,X36) != c_Message_Omsg_ONonce(X0),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I34_J_0) ).
fof(f233697,plain,
( sF7 = sF21
| ~ spl27_323
| spl27_1274 ),
inference(subsumption_resolution,[],[f233691,f164613]) ).
fof(f164613,plain,
( ~ hBOOL(c_in(sF21,c_Message_Osynth(sF4),tc_Message_Omsg))
| spl27_1274 ),
inference(avatar_component_clause,[],[f164612]) ).
fof(f164612,plain,
( spl27_1274
<=> hBOOL(c_in(sF21,c_Message_Osynth(sF4),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1274])]) ).
fof(f233691,plain,
( hBOOL(c_in(sF21,c_Message_Osynth(sF4),tc_Message_Omsg))
| sF7 = sF21
| ~ spl27_323 ),
inference(resolution,[],[f19241,f293]) ).
fof(f293,axiom,
! [X2,X11,X5,X12] :
( ~ hBOOL(c_in(X11,c_Set_Oinsert(X12,X5,X2),X2))
| hBOOL(c_in(X11,X5,X2))
| X11 = X12 ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_insertE_0) ).
fof(f19241,plain,
( hBOOL(c_in(sF21,c_Set_Oinsert(sF7,c_Message_Osynth(sF4),tc_Message_Omsg),tc_Message_Omsg))
| ~ spl27_323 ),
inference(avatar_component_clause,[],[f19240]) ).
fof(f167478,plain,
( spl27_921
| ~ spl27_1258
| ~ spl27_1274 ),
inference(avatar_contradiction_clause,[],[f167477]) ).
fof(f167477,plain,
( $false
| spl27_921
| ~ spl27_1258
| ~ spl27_1274 ),
inference(subsumption_resolution,[],[f167470,f153365]) ).
fof(f153365,plain,
( ! [X0] : ~ hBOOL(c_in(sF3,sF4,X0))
| ~ spl27_1258 ),
inference(avatar_component_clause,[],[f153364]) ).
fof(f153364,plain,
( spl27_1258
<=> ! [X0] : ~ hBOOL(c_in(sF3,sF4,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_1258])]) ).
fof(f167470,plain,
( hBOOL(c_in(sF3,sF4,tc_Message_Omsg))
| spl27_921
| ~ spl27_1274 ),
inference(resolution,[],[f167300,f4882]) ).
fof(f4882,plain,
! [X0] :
( ~ hBOOL(c_in(sF3,c_Message_Osynth(X0),tc_Message_Omsg))
| hBOOL(c_in(sF3,X0,tc_Message_Omsg)) ),
inference(superposition,[],[f219,f551]) ).
fof(f219,axiom,
! [X7,X15] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X15),c_Message_Osynth(X7),tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X15),X7,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_Key__synth_0) ).
fof(f167300,plain,
( hBOOL(c_in(sF3,c_Message_Osynth(sF4),tc_Message_Omsg))
| spl27_921
| ~ spl27_1274 ),
inference(subsumption_resolution,[],[f167291,f165641]) ).
fof(f167291,plain,
( hBOOL(c_in(sF21,sF4,tc_Message_Omsg))
| hBOOL(c_in(sF3,c_Message_Osynth(sF4),tc_Message_Omsg))
| ~ spl27_1274 ),
inference(resolution,[],[f164614,f14031]) ).
fof(f14031,plain,
! [X2] :
( ~ hBOOL(c_in(sF21,c_Message_Osynth(X2),tc_Message_Omsg))
| hBOOL(c_in(sF21,X2,tc_Message_Omsg))
| hBOOL(c_in(sF3,c_Message_Osynth(X2),tc_Message_Omsg)) ),
inference(superposition,[],[f230,f572]) ).
fof(f230,axiom,
! [X8,X7,X33] :
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X8,X33),c_Message_Osynth(X7),tc_Message_Omsg))
| hBOOL(c_in(c_Message_Omsg_OMPair(X8,X33),X7,tc_Message_Omsg))
| hBOOL(c_in(X8,c_Message_Osynth(X7),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_MPair__synth_0) ).
fof(f164614,plain,
( hBOOL(c_in(sF21,c_Message_Osynth(sF4),tc_Message_Omsg))
| ~ spl27_1274 ),
inference(avatar_component_clause,[],[f164612]) ).
fof(f167040,plain,
( spl27_247
| ~ spl27_609 ),
inference(avatar_contradiction_clause,[],[f167039]) ).
fof(f167039,plain,
( $false
| spl27_247
| ~ spl27_609 ),
inference(subsumption_resolution,[],[f167038,f15317]) ).
fof(f15317,plain,
( ~ hBOOL(c_in(sF21,sF5,tc_Message_Omsg))
| spl27_247 ),
inference(avatar_component_clause,[],[f15315]) ).
fof(f15315,plain,
( spl27_247
<=> hBOOL(c_in(sF21,sF5,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_247])]) ).
fof(f167038,plain,
( hBOOL(c_in(sF21,sF5,tc_Message_Omsg))
| ~ spl27_609 ),
inference(subsumption_resolution,[],[f23283,f167032]) ).
fof(f167032,plain,
( hBOOL(c_in(sF22,sF5,tc_Message_Omsg))
| ~ spl27_609 ),
inference(forward_demodulation,[],[f33312,f107382]) ).
fof(f107382,plain,
sF5 = c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),
inference(resolution,[],[f88320,f5234]) ).
fof(f5234,plain,
! [X28,X29,X30] :
( ~ c_lessequals(c_Set_Oinsert(X28,X29,X30),X29,tc_fun(X30,tc_bool))
| c_Set_Oinsert(X28,X29,X30) = X29 ),
inference(resolution,[],[f260,f263]) ).
fof(f263,axiom,
! [X2,X11,X4] : c_lessequals(X4,c_Set_Oinsert(X11,X4,X2),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_subset__insertI_0) ).
fof(f260,axiom,
! [X2,X4,X5] :
( ~ c_lessequals(X5,X4,tc_fun(X2,tc_bool))
| X4 = X5
| ~ c_lessequals(X4,X5,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_equalityI_0) ).
fof(f88320,plain,
c_lessequals(c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),sF5,tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[],[f3239,f85895]) ).
fof(f85895,plain,
sF5 = c_Message_Oanalz(c_Set_Oinsert(sF24,sF4,tc_Message_Omsg)),
inference(resolution,[],[f48509,f3147]) ).
fof(f3147,plain,
! [X12] :
( ~ hBOOL(c_in(X12,sF5,tc_Message_Omsg))
| sF5 = c_Message_Oanalz(c_Set_Oinsert(X12,sF4,tc_Message_Omsg)) ),
inference(superposition,[],[f216,f553]) ).
fof(f553,plain,
c_Message_Oanalz(sF4) = sF5,
introduced(function_definition,[]) ).
fof(f216,axiom,
! [X8,X7] :
( ~ hBOOL(c_in(X8,c_Message_Oanalz(X7),tc_Message_Omsg))
| c_Message_Oanalz(X7) = c_Message_Oanalz(c_Set_Oinsert(X8,X7,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz__insert__eq_0) ).
fof(f48509,plain,
hBOOL(c_in(sF24,sF5,tc_Message_Omsg)),
inference(forward_demodulation,[],[f48508,f553]) ).
fof(f48508,plain,
hBOOL(c_in(sF24,c_Message_Oanalz(sF4),tc_Message_Omsg)),
inference(forward_demodulation,[],[f48507,f552]) ).
fof(f48507,plain,
hBOOL(c_in(sF24,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
inference(subsumption_resolution,[],[f48505,f1235]) ).
fof(f48505,plain,
( ~ hBOOL(c_in(sF25,sF13,tc_Event_Oevent))
| hBOOL(c_in(sF24,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)) ),
inference(superposition,[],[f10738,f563]) ).
fof(f10738,plain,
! [X1] :
( ~ hBOOL(c_in(sF25,c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(sF24,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)) ),
inference(superposition,[],[f471,f576]) ).
fof(f471,axiom,
! [X8,X9,X4,X5] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(X5,X4,X8),c_List_Oset(X9,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(X8,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X9)),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_Says__imp__analz__Spy_0) ).
fof(f3239,plain,
! [X13] : c_lessequals(c_Set_Oinsert(X13,sF5,tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X13,sF4,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
inference(superposition,[],[f235,f553]) ).
fof(f235,axiom,
! [X8,X7] : c_lessequals(c_Set_Oinsert(X8,c_Message_Oanalz(X7),tc_Message_Omsg),c_Message_Oanalz(c_Set_Oinsert(X8,X7,tc_Message_Omsg)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz__insert_0) ).
fof(f33312,plain,
( hBOOL(c_in(sF22,c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),tc_Message_Omsg))
| ~ spl27_609 ),
inference(avatar_component_clause,[],[f33311]) ).
fof(f33311,plain,
( spl27_609
<=> hBOOL(c_in(sF22,c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_609])]) ).
fof(f23283,plain,
( ~ hBOOL(c_in(sF22,sF5,tc_Message_Omsg))
| hBOOL(c_in(sF21,sF5,tc_Message_Omsg)) ),
inference(superposition,[],[f4308,f573]) ).
fof(f4308,plain,
! [X24,X25] :
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X25,X24),sF5,tc_Message_Omsg))
| hBOOL(c_in(X24,sF5,tc_Message_Omsg)) ),
inference(superposition,[],[f442,f553]) ).
fof(f442,axiom,
! [X8,X7,X33] :
( hBOOL(c_in(X33,c_Message_Oanalz(X7),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X8,X33),c_Message_Oanalz(X7),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz_OSnd_0) ).
fof(f166685,plain,
( ~ spl27_594
| spl27_609 ),
inference(avatar_split_clause,[],[f166684,f33311,f32872]) ).
fof(f32872,plain,
( spl27_594
<=> hBOOL(c_in(sF22,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_594])]) ).
fof(f166684,plain,
( ~ hBOOL(c_in(sF22,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg))
| spl27_609 ),
inference(subsumption_resolution,[],[f128707,f91083]) ).
fof(f91083,plain,
( ~ hBOOL(hAPP(sF5,sF22))
| spl27_609 ),
inference(resolution,[],[f33313,f1321]) ).
fof(f33313,plain,
( ~ hBOOL(c_in(sF22,c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),tc_Message_Omsg))
| spl27_609 ),
inference(avatar_component_clause,[],[f33311]) ).
fof(f128707,plain,
( hBOOL(hAPP(sF5,sF22))
| ~ hBOOL(c_in(sF22,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg)) ),
inference(superposition,[],[f26751,f85895]) ).
fof(f26751,plain,
! [X0] :
( hBOOL(hAPP(c_Message_Oanalz(X0),sF22))
| ~ hBOOL(c_in(sF22,X0,tc_Message_Omsg)) ),
inference(superposition,[],[f26684,f298]) ).
fof(f298,axiom,
! [X2,X11,X5] :
( c_Set_Oinsert(X11,X5,X2) = X5
| ~ hBOOL(c_in(X11,X5,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_insert__absorb_0) ).
fof(f26684,plain,
! [X4] : hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(sF22,X4,tc_Message_Omsg)),sF22)),
inference(superposition,[],[f13507,f573]) ).
fof(f13507,plain,
! [X70,X71,X69] : hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X69,X70),X71,tc_Message_Omsg)),c_Message_Omsg_OMPair(X69,X70))),
inference(superposition,[],[f251,f165]) ).
fof(f165,axiom,
! [X8,X7,X33] : c_Message_Oanalz(c_Set_Oinsert(c_Message_Omsg_OMPair(X8,X33),X7,tc_Message_Omsg)) = c_Set_Oinsert(c_Message_Omsg_OMPair(X8,X33),c_Message_Oanalz(c_Set_Oinsert(X8,c_Set_Oinsert(X33,X7,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz__insert__MPair_0) ).
fof(f166635,plain,
( ~ spl27_1297
| spl27_594 ),
inference(avatar_split_clause,[],[f38052,f32872,f166626]) ).
fof(f38052,plain,
( ~ hBOOL(c_in(sF22,sF4,tc_Message_Omsg))
| spl27_594 ),
inference(resolution,[],[f32874,f287]) ).
fof(f287,axiom,
! [X2,X11,X5,X12] :
( hBOOL(c_in(X11,c_Set_Oinsert(X12,X5,X2),X2))
| ~ hBOOL(c_in(X11,X5,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_insert__iff_2) ).
fof(f32874,plain,
( ~ hBOOL(c_in(sF22,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg))
| spl27_594 ),
inference(avatar_component_clause,[],[f32872]) ).
fof(f165683,plain,
( ~ spl27_102
| spl27_119 ),
inference(avatar_contradiction_clause,[],[f165682]) ).
fof(f165682,plain,
( $false
| ~ spl27_102
| spl27_119 ),
inference(subsumption_resolution,[],[f103523,f165649]) ).
fof(f165649,plain,
( hBOOL(hAPP(sF5,sF3))
| ~ spl27_102 ),
inference(resolution,[],[f6819,f8083]) ).
fof(f8083,plain,
! [X3,X4] :
( ~ hBOOL(c_in(X3,sF4,X4))
| hBOOL(hAPP(sF5,X3)) ),
inference(resolution,[],[f8076,f493]) ).
fof(f8076,plain,
! [X0] :
( ~ hBOOL(hAPP(sF4,X0))
| hBOOL(hAPP(sF5,X0)) ),
inference(superposition,[],[f63,f8056]) ).
fof(f8056,plain,
sF5 = c_Lattices_Oupper__semilattice__class_Osup(sF4,sF5,tc_fun(tc_Message_Omsg,tc_bool)),
inference(subsumption_resolution,[],[f8029,f102]) ).
fof(f102,axiom,
! [X2,X4,X5] : c_lessequals(X4,c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X2,tc_bool)),tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_Un__upper2_0) ).
fof(f8029,plain,
( ~ c_lessequals(sF5,c_Lattices_Oupper__semilattice__class_Osup(sF4,sF5,tc_fun(tc_Message_Omsg,tc_bool)),tc_fun(tc_Message_Omsg,tc_bool))
| sF5 = c_Lattices_Oupper__semilattice__class_Osup(sF4,sF5,tc_fun(tc_Message_Omsg,tc_bool)) ),
inference(superposition,[],[f5236,f7862]) ).
fof(f7862,plain,
sF5 = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(sF4,sF5,tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[],[f6535,f553]) ).
fof(f6535,plain,
! [X1] : c_Message_Oanalz(X1) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))),
inference(forward_demodulation,[],[f6489,f441]) ).
fof(f441,axiom,
! [X7] : c_Message_Oanalz(X7) = c_Message_Oanalz(c_Message_Oanalz(X7)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz__idem_0) ).
fof(f6489,plain,
! [X1] : c_Message_Oanalz(c_Message_Oanalz(X1)) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Message_Oanalz(X1),tc_fun(tc_Message_Omsg,tc_bool))),
inference(superposition,[],[f146,f85]) ).
fof(f85,axiom,
! [X2,X5] : c_Lattices_Oupper__semilattice__class_Osup(X5,X5,tc_fun(X2,tc_bool)) = X5,
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_Un__absorb_0) ).
fof(f146,axiom,
! [X6,X7] : c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(X6,X7,tc_fun(tc_Message_Omsg,tc_bool))) = c_Message_Oanalz(c_Lattices_Oupper__semilattice__class_Osup(c_Message_Oanalz(X6),X7,tc_fun(tc_Message_Omsg,tc_bool))),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz__analz__Un_0) ).
fof(f5236,plain,
! [X32] :
( ~ c_lessequals(c_Message_Oanalz(X32),X32,tc_fun(tc_Message_Omsg,tc_bool))
| c_Message_Oanalz(X32) = X32 ),
inference(resolution,[],[f260,f314]) ).
fof(f314,axiom,
! [X7] : c_lessequals(X7,c_Message_Oanalz(X7),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz__increasing_0) ).
fof(f63,axiom,
! [X2,X3,X4,X5] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X2,tc_bool)),X3))
| ~ hBOOL(hAPP(X5,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_sup1CI_1) ).
fof(f6819,plain,
( hBOOL(c_in(sF3,sF4,tc_Message_Omsg))
| ~ spl27_102 ),
inference(avatar_component_clause,[],[f6818]) ).
fof(f6818,plain,
( spl27_102
<=> hBOOL(c_in(sF3,sF4,tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_102])]) ).
fof(f103523,plain,
( ~ hBOOL(hAPP(sF5,sF3))
| spl27_119 ),
inference(resolution,[],[f7202,f1321]) ).
fof(f7202,plain,
( ~ hBOOL(c_in(sF3,c_Set_Oinsert(sF7,sF5,tc_Message_Omsg),tc_Message_Omsg))
| spl27_119 ),
inference(avatar_component_clause,[],[f7200]) ).
fof(f7200,plain,
( spl27_119
<=> hBOOL(c_in(sF3,c_Set_Oinsert(sF7,sF5,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_119])]) ).
fof(f158492,plain,
( spl27_102
| ~ spl27_636 ),
inference(avatar_contradiction_clause,[],[f158491]) ).
fof(f158491,plain,
( $false
| spl27_102
| ~ spl27_636 ),
inference(subsumption_resolution,[],[f158490,f782]) ).
fof(f782,plain,
sF3 != sF23,
inference(superposition,[],[f762,f551]) ).
fof(f762,plain,
! [X0] : hAPP(c_Message_Omsg_OKey,X0) != sF23,
inference(superposition,[],[f509,f574]) ).
fof(f509,axiom,
! [X0,X36,X35] : c_Message_Omsg_OMPair(X35,X36) != hAPP(c_Message_Omsg_OKey,X0),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I41_J_0) ).
fof(f158490,plain,
( sF3 = sF23
| spl27_102
| ~ spl27_636 ),
inference(subsumption_resolution,[],[f158484,f6820]) ).
fof(f6820,plain,
( ~ hBOOL(c_in(sF3,sF4,tc_Message_Omsg))
| spl27_102 ),
inference(avatar_component_clause,[],[f6818]) ).
fof(f158484,plain,
( hBOOL(c_in(sF3,sF4,tc_Message_Omsg))
| sF3 = sF23
| ~ spl27_636 ),
inference(resolution,[],[f34633,f293]) ).
fof(f34633,plain,
( hBOOL(c_in(sF3,c_Set_Oinsert(sF23,sF4,tc_Message_Omsg),tc_Message_Omsg))
| ~ spl27_636 ),
inference(avatar_component_clause,[],[f34632]) ).
fof(f34632,plain,
( spl27_636
<=> hBOOL(c_in(sF3,c_Set_Oinsert(sF23,sF4,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_636])]) ).
fof(f156578,plain,
~ spl27_607,
inference(avatar_contradiction_clause,[],[f156577]) ).
fof(f156577,plain,
( $false
| ~ spl27_607 ),
inference(subsumption_resolution,[],[f156576,f555]) ).
fof(f555,plain,
~ hBOOL(sF6),
inference(definition_folding,[],[f517,f554,f553,f552,f551]) ).
fof(f554,plain,
c_in(sF3,sF5,tc_Message_Omsg) = sF6,
introduced(function_definition,[]) ).
fof(f517,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_conjecture_2) ).
fof(f156576,plain,
( hBOOL(sF6)
| ~ spl27_607 ),
inference(forward_demodulation,[],[f156575,f554]) ).
fof(f156575,plain,
( hBOOL(c_in(sF3,sF5,tc_Message_Omsg))
| ~ spl27_607 ),
inference(forward_demodulation,[],[f33300,f107382]) ).
fof(f33300,plain,
( hBOOL(c_in(sF3,c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),tc_Message_Omsg))
| ~ spl27_607 ),
inference(avatar_component_clause,[],[f33299]) ).
fof(f33299,plain,
( spl27_607
<=> hBOOL(c_in(sF3,c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_607])]) ).
fof(f153490,plain,
( spl27_1258
| spl27_636 ),
inference(avatar_split_clause,[],[f153489,f34632,f153364]) ).
fof(f153489,plain,
( ! [X2] : ~ hBOOL(c_in(sF3,sF4,X2))
| spl27_636 ),
inference(resolution,[],[f39409,f493]) ).
fof(f39409,plain,
( ~ hBOOL(hAPP(sF4,sF3))
| spl27_636 ),
inference(resolution,[],[f34634,f1321]) ).
fof(f34634,plain,
( ~ hBOOL(c_in(sF3,c_Set_Oinsert(sF23,sF4,tc_Message_Omsg),tc_Message_Omsg))
| spl27_636 ),
inference(avatar_component_clause,[],[f34632]) ).
fof(f128253,plain,
( ~ spl27_921
| spl27_240 ),
inference(avatar_split_clause,[],[f128252,f15280,f91276]) ).
fof(f15280,plain,
( spl27_240
<=> hBOOL(c_in(sF21,c_Set_Oinsert(sF7,sF5,tc_Message_Omsg),tc_Message_Omsg)) ),
introduced(avatar_definition,[new_symbols(naming,[spl27_240])]) ).
fof(f128252,plain,
( ~ hBOOL(c_in(sF21,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg))
| spl27_240 ),
inference(subsumption_resolution,[],[f128236,f104395]) ).
fof(f104395,plain,
( ~ hBOOL(hAPP(sF5,sF21))
| spl27_240 ),
inference(resolution,[],[f15282,f1321]) ).
fof(f15282,plain,
( ~ hBOOL(c_in(sF21,c_Set_Oinsert(sF7,sF5,tc_Message_Omsg),tc_Message_Omsg))
| spl27_240 ),
inference(avatar_component_clause,[],[f15280]) ).
fof(f128236,plain,
( hBOOL(hAPP(sF5,sF21))
| ~ hBOOL(c_in(sF21,c_Set_Oinsert(sF24,sF4,tc_Message_Omsg),tc_Message_Omsg)) ),
inference(superposition,[],[f26733,f85895]) ).
fof(f26733,plain,
! [X0] :
( hBOOL(hAPP(c_Message_Oanalz(X0),sF21))
| ~ hBOOL(c_in(sF21,X0,tc_Message_Omsg)) ),
inference(superposition,[],[f26682,f298]) ).
fof(f26682,plain,
! [X2] : hBOOL(hAPP(c_Message_Oanalz(c_Set_Oinsert(sF21,X2,tc_Message_Omsg)),sF21)),
inference(superposition,[],[f13507,f572]) ).
fof(f104327,plain,
( ~ spl27_240
| spl27_247 ),
inference(avatar_contradiction_clause,[],[f104326]) ).
fof(f104326,plain,
( $false
| ~ spl27_240
| spl27_247 ),
inference(subsumption_resolution,[],[f104325,f727]) ).
fof(f104325,plain,
( sF7 = sF21
| ~ spl27_240
| spl27_247 ),
inference(subsumption_resolution,[],[f104319,f15317]) ).
fof(f104319,plain,
( hBOOL(c_in(sF21,sF5,tc_Message_Omsg))
| sF7 = sF21
| ~ spl27_240 ),
inference(resolution,[],[f15281,f293]) ).
fof(f15281,plain,
( hBOOL(c_in(sF21,c_Set_Oinsert(sF7,sF5,tc_Message_Omsg),tc_Message_Omsg))
| ~ spl27_240 ),
inference(avatar_component_clause,[],[f15280]) ).
fof(f103468,plain,
( ~ spl27_119
| spl27_607 ),
inference(avatar_contradiction_clause,[],[f103467]) ).
fof(f103467,plain,
( $false
| ~ spl27_119
| spl27_607 ),
inference(subsumption_resolution,[],[f103466,f91080]) ).
fof(f91080,plain,
( ~ hBOOL(hAPP(sF5,sF3))
| spl27_607 ),
inference(resolution,[],[f33301,f1321]) ).
fof(f33301,plain,
( ~ hBOOL(c_in(sF3,c_Set_Oinsert(sF24,sF5,tc_Message_Omsg),tc_Message_Omsg))
| spl27_607 ),
inference(avatar_component_clause,[],[f33299]) ).
fof(f103466,plain,
( hBOOL(hAPP(sF5,sF3))
| ~ spl27_119 ),
inference(subsumption_resolution,[],[f103458,f683]) ).
fof(f683,plain,
sF3 != sF7,
inference(superposition,[],[f682,f556]) ).
fof(f682,plain,
! [X0] : c_Message_Omsg_ONonce(X0) != sF3,
inference(superposition,[],[f448,f551]) ).
fof(f448,axiom,
! [X0,X1] : c_Message_Omsg_ONonce(X0) != hAPP(c_Message_Omsg_OKey,X1),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_msg_Osimps_I31_J_0) ).
fof(f103458,plain,
( sF3 = sF7
| hBOOL(hAPP(sF5,sF3))
| ~ spl27_119 ),
inference(resolution,[],[f7201,f3567]) ).
fof(f7201,plain,
( hBOOL(c_in(sF3,c_Set_Oinsert(sF7,sF5,tc_Message_Omsg),tc_Message_Omsg))
| ~ spl27_119 ),
inference(avatar_component_clause,[],[f7200]) ).
fof(f92923,plain,
~ spl27_247,
inference(avatar_split_clause,[],[f92922,f15315]) ).
fof(f92922,plain,
~ hBOOL(c_in(sF21,sF5,tc_Message_Omsg)),
inference(subsumption_resolution,[],[f92921,f555]) ).
fof(f92921,plain,
( hBOOL(sF6)
| ~ hBOOL(c_in(sF21,sF5,tc_Message_Omsg)) ),
inference(forward_demodulation,[],[f23307,f554]) ).
fof(f23307,plain,
( ~ hBOOL(c_in(sF21,sF5,tc_Message_Omsg))
| hBOOL(c_in(sF3,sF5,tc_Message_Omsg)) ),
inference(superposition,[],[f4334,f572]) ).
fof(f4334,plain,
! [X24,X25] :
( ~ hBOOL(c_in(c_Message_Omsg_OMPair(X24,X25),sF5,tc_Message_Omsg))
| hBOOL(c_in(X24,sF5,tc_Message_Omsg)) ),
inference(superposition,[],[f443,f553]) ).
fof(f443,axiom,
! [X8,X7,X33] :
( hBOOL(c_in(X8,c_Message_Oanalz(X7),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Message_Omsg_OMPair(X8,X33),c_Message_Oanalz(X7),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_analz_OFst_0) ).
fof(f19320,plain,
spl27_310,
inference(avatar_contradiction_clause,[],[f19319]) ).
fof(f19319,plain,
( $false
| spl27_310 ),
inference(subsumption_resolution,[],[f19317,f731]) ).
fof(f731,plain,
! [X1] : hBOOL(c_in(sF18,c_Message_Osynth(X1),tc_Message_Omsg)),
inference(superposition,[],[f171,f569]) ).
fof(f171,axiom,
! [X38,X7] : hBOOL(c_in(c_Message_Omsg_OAgent(X38),c_Message_Osynth(X7),tc_Message_Omsg)),
file('/export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822',cls_synth_OAgent_0) ).
fof(f19317,plain,
( ~ hBOOL(c_in(sF18,c_Message_Osynth(sF4),tc_Message_Omsg))
| spl27_310 ),
inference(resolution,[],[f19181,f287]) ).
fof(f19181,plain,
( ~ hBOOL(c_in(sF18,c_Set_Oinsert(sF7,c_Message_Osynth(sF4),tc_Message_Omsg),tc_Message_Omsg))
| spl27_310 ),
inference(avatar_component_clause,[],[f19179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : SWV765-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.19 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.20/0.40 % Computer : n027.cluster.edu
% 0.20/0.40 % Model : x86_64 x86_64
% 0.20/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.40 % Memory : 8042.1875MB
% 0.20/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.40 % CPULimit : 300
% 0.20/0.40 % WCLimit : 300
% 0.20/0.40 % DateTime : Tue Aug 29 03:36:07 EDT 2023
% 0.20/0.40 % CPUTime :
% 0.20/0.40 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.20/0.40 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.A32viIw5CA/Vampire---4.8_14822
% 0.20/0.40 % (15016)Running in auto input_syntax mode. Trying TPTP
% 0.26/0.49 % (15018)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.26/0.49 % (15021)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.26/0.49 % (15019)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.26/0.49 % (15017)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.26/0.49 % (15020)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.26/0.49 % (15022)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.26/0.51 % (15023)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.26/0.53 % (15019)Refutation not found, incomplete strategy% (15019)------------------------------
% 0.26/0.53 % (15019)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.26/0.53 % (15019)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.26/0.53 % (15019)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.53
% 0.26/0.53 % (15019)Memory used [KB]: 12025
% 0.26/0.53 % (15019)Time elapsed: 0.045 s
% 0.26/0.53 % (15019)------------------------------
% 0.26/0.53 % (15019)------------------------------
% 0.26/0.54 % (15017)Refutation not found, incomplete strategy% (15017)------------------------------
% 0.26/0.54 % (15017)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.26/0.54 % (15017)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.26/0.54 % (15017)Termination reason: Refutation not found, incomplete strategy
% 0.26/0.54
% 0.26/0.54 % (15017)Memory used [KB]: 7036
% 0.26/0.54 % (15017)Time elapsed: 0.045 s
% 0.26/0.54 % (15017)------------------------------
% 0.26/0.54 % (15017)------------------------------
% 0.26/0.58 % (15024)lrs-11_32_amm=off:bce=on:cond=on:er=filter:fsd=off:fde=none:gs=on:gsem=on:lcm=reverse:nm=4:nwc=1.1:sos=all:sac=on:sp=frequency:urr=on:stl=125_403 on Vampire---4 for (403ds/0Mi)
% 0.26/0.58 % (15025)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_333 on Vampire---4 for (333ds/0Mi)
% 155.45/22.82 % (15020)First to succeed.
% 155.97/22.88 % (15020)Refutation found. Thanks to Tanya!
% 155.97/22.88 % SZS status Unsatisfiable for Vampire---4
% 155.97/22.88 % SZS output start Proof for Vampire---4
% See solution above
% 155.97/22.88 % (15020)------------------------------
% 155.97/22.88 % (15020)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 155.97/22.88 % (15020)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 155.97/22.88 % (15020)Termination reason: Refutation
% 155.97/22.88
% 155.97/22.88 % (15020)Memory used [KB]: 364727
% 155.97/22.88 % (15020)Time elapsed: 22.309 s
% 155.97/22.88 % (15020)------------------------------
% 155.97/22.88 % (15020)------------------------------
% 155.97/22.88 % (15016)Success in time 22.28 s
% 155.97/22.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------