TSTP Solution File: SWV301-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV301-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 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 : Wed Aug 31 18:56:15 EDT 2022
% Result : Unsatisfiable 1.34s 0.54s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 54
% Syntax : Number of formulae : 115 ( 57 unt; 0 def)
% Number of atoms : 194 ( 47 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 149 ( 70 ~; 72 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-3 aty)
% Number of functors : 63 ( 63 usr; 44 con; 0-3 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f71,f173,f176,f184,f185,f188,f191]) ).
fof(f191,plain,
~ spl34_5,
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f190,plain,
( $false
| ~ spl34_5 ),
inference(subsumption_resolution,[],[f189,f156]) ).
fof(f156,plain,
~ c_in(c_Message_Omsg_OKey(sF1),sF6,tc_Message_Omsg),
inference(subsumption_resolution,[],[f154,f1]) ).
fof(f1,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f154,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(sF1),sF6,tc_Message_Omsg) ),
inference(superposition,[],[f145,f16]) ).
fof(f16,plain,
c_Public_OshrK(v_B) = sF1,
introduced(function_definition,[]) ).
fof(f145,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF6,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(subsumption_resolution,[],[f144,f15]) ).
fof(f15,plain,
c_in(v_evsf,c_OtwayRees_Ootway,sF0),
inference(definition_folding,[],[f2,f14]) ).
fof(f14,plain,
tc_List_Olist(tc_Event_Oevent) = sF0,
introduced(function_definition,[]) ).
fof(f2,axiom,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f144,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF6,tc_Message_Omsg)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,sF0)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f143,f14]) ).
fof(f143,plain,
! [X0] :
( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF6,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f131,f21]) ).
fof(f21,plain,
c_Message_Oparts(sF5) = sF6,
introduced(function_definition,[]) ).
fof(f131,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(sF5),tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(superposition,[],[f12,f20]) ).
fof(f20,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf) = sF5,
introduced(function_definition,[]) ).
fof(f12,axiom,
! [X6,X7] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X7,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f189,plain,
( c_in(c_Message_Omsg_OKey(sF1),sF6,tc_Message_Omsg)
| ~ spl34_5 ),
inference(resolution,[],[f92,f83]) ).
fof(f83,plain,
! [X0] :
( ~ c_in(X0,sF25,tc_Message_Omsg)
| c_in(X0,sF6,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f82,f21]) ).
fof(f82,plain,
! [X0] :
( ~ c_in(X0,sF25,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(sF5),tc_Message_Omsg) ),
inference(superposition,[],[f11,f42]) ).
fof(f42,plain,
sF25 = c_Message_Oanalz(sF5),
introduced(function_definition,[]) ).
fof(f11,axiom,
! [X3,X5] :
( ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f92,plain,
( c_in(c_Message_Omsg_OKey(sF1),sF25,tc_Message_Omsg)
| ~ spl34_5 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl34_5
<=> c_in(c_Message_Omsg_OKey(sF1),sF25,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_5])]) ).
fof(f188,plain,
( spl34_3
| ~ spl34_7 ),
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| spl34_3
| ~ spl34_7 ),
inference(subsumption_resolution,[],[f186,f67]) ).
fof(f67,plain,
( ~ c_in(sF4,sF6,tc_Message_Omsg)
| spl34_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl34_3
<=> c_in(sF4,sF6,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_3])]) ).
fof(f186,plain,
( c_in(sF4,sF6,tc_Message_Omsg)
| ~ spl34_7 ),
inference(resolution,[],[f100,f83]) ).
fof(f100,plain,
( c_in(sF4,sF25,tc_Message_Omsg)
| ~ spl34_7 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl34_7
<=> c_in(sF4,sF25,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_7])]) ).
fof(f185,plain,
( spl34_5
| ~ spl34_6
| spl34_7 ),
inference(avatar_split_clause,[],[f126,f98,f94,f90]) ).
fof(f94,plain,
( spl34_6
<=> c_in(sF4,sF26,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_6])]) ).
fof(f126,plain,
( c_in(sF4,sF25,tc_Message_Omsg)
| ~ c_in(sF4,sF26,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF1),sF25,tc_Message_Omsg) ),
inference(superposition,[],[f87,f19]) ).
fof(f19,plain,
sF4 = c_Message_Omsg_OCrypt(sF1,sF3),
introduced(function_definition,[]) ).
fof(f87,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),sF26,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),sF25,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),sF25,tc_Message_Omsg) ),
inference(superposition,[],[f9,f43]) ).
fof(f43,plain,
c_Message_Osynth(sF25) = sF26,
introduced(function_definition,[]) ).
fof(f9,axiom,
! [X2,X3,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f184,plain,
~ spl34_1,
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl34_1 ),
inference(subsumption_resolution,[],[f181,f1]) ).
fof(f181,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ spl34_1 ),
inference(superposition,[],[f8,f57]) ).
fof(f57,plain,
( v_B = c_Message_Oagent_OSpy
| ~ spl34_1 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl34_1
<=> v_B = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl34_1])]) ).
fof(f8,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSpy_A_58_Abad_0) ).
fof(f176,plain,
( ~ spl34_2
| ~ spl34_4 ),
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f175,plain,
( $false
| ~ spl34_2
| ~ spl34_4 ),
inference(subsumption_resolution,[],[f174,f61]) ).
fof(f61,plain,
( c_in(sF31,sF13,tc_Event_Oevent)
| ~ spl34_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl34_2
<=> c_in(sF31,sF13,tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_2])]) ).
fof(f174,plain,
( ~ c_in(sF31,sF13,tc_Event_Oevent)
| ~ spl34_4 ),
inference(superposition,[],[f70,f81]) ).
fof(f81,plain,
sF24(v_x) = sF31,
inference(forward_demodulation,[],[f80,f49]) ).
fof(f49,plain,
sF31 = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF30),
introduced(function_definition,[]) ).
fof(f80,plain,
sF24(v_x) = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF30),
inference(superposition,[],[f39,f79]) ).
fof(f79,plain,
sF23(v_x) = sF30,
inference(forward_demodulation,[],[f78,f48]) ).
fof(f48,plain,
c_Message_Omsg_OMPair(v_NA,sF29) = sF30,
introduced(function_definition,[]) ).
fof(f78,plain,
sF23(v_x) = c_Message_Omsg_OMPair(v_NA,sF29),
inference(superposition,[],[f38,f77]) ).
fof(f77,plain,
sF22(v_x) = sF29,
inference(forward_demodulation,[],[f76,f47]) ).
fof(f47,plain,
c_Message_Omsg_OMPair(sF14,sF28) = sF29,
introduced(function_definition,[]) ).
fof(f76,plain,
c_Message_Omsg_OMPair(sF14,sF28) = sF22(v_x),
inference(superposition,[],[f37,f75]) ).
fof(f75,plain,
sF21(v_x) = sF28,
inference(forward_demodulation,[],[f74,f46]) ).
fof(f46,plain,
c_Message_Omsg_OMPair(sF15,sF27) = sF28,
introduced(function_definition,[]) ).
fof(f74,plain,
sF21(v_x) = c_Message_Omsg_OMPair(sF15,sF27),
inference(superposition,[],[f36,f72]) ).
fof(f72,plain,
sF20(v_x) = sF27,
inference(superposition,[],[f35,f45]) ).
fof(f45,plain,
sF27 = c_Message_Omsg_OMPair(v_x,sF19),
introduced(function_definition,[]) ).
fof(f35,plain,
! [X0] : sF20(X0) = c_Message_Omsg_OMPair(X0,sF19),
introduced(function_definition,[]) ).
fof(f36,plain,
! [X0] : sF21(X0) = c_Message_Omsg_OMPair(sF15,sF20(X0)),
introduced(function_definition,[]) ).
fof(f37,plain,
! [X0] : sF22(X0) = c_Message_Omsg_OMPair(sF14,sF21(X0)),
introduced(function_definition,[]) ).
fof(f38,plain,
! [X0] : sF23(X0) = c_Message_Omsg_OMPair(v_NA,sF22(X0)),
introduced(function_definition,[]) ).
fof(f39,plain,
! [X0] : sF24(X0) = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF23(X0)),
introduced(function_definition,[]) ).
fof(f70,plain,
( ! [X0] : ~ c_in(sF24(X0),sF13,tc_Event_Oevent)
| ~ spl34_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl34_4
<=> ! [X0] : ~ c_in(sF24(X0),sF13,tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl34_4])]) ).
fof(f173,plain,
( spl34_3
| spl34_6 ),
inference(avatar_split_clause,[],[f170,f94,f65]) ).
fof(f170,plain,
( c_in(sF4,sF6,tc_Message_Omsg)
| spl34_6 ),
inference(subsumption_resolution,[],[f169,f96]) ).
fof(f96,plain,
( ~ c_in(sF4,sF26,tc_Message_Omsg)
| spl34_6 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f169,plain,
( c_in(sF4,sF6,tc_Message_Omsg)
| c_in(sF4,sF26,tc_Message_Omsg) ),
inference(resolution,[],[f162,f53]) ).
fof(f53,plain,
c_in(sF4,sF33,tc_Message_Omsg),
inference(definition_folding,[],[f4,f52,f51,f20,f19,f18,f17,f16]) ).
fof(f17,plain,
c_Message_Omsg_OKey(v_K) = sF2,
introduced(function_definition,[]) ).
fof(f18,plain,
c_Message_Omsg_OMPair(v_NB,sF2) = sF3,
introduced(function_definition,[]) ).
fof(f51,plain,
c_insert(v_X,sF5,tc_Message_Omsg) = sF32,
introduced(function_definition,[]) ).
fof(f52,plain,
sF33 = c_Message_Oparts(sF32),
introduced(function_definition,[]) ).
fof(f4,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f162,plain,
! [X0] :
( ~ c_in(X0,sF33,tc_Message_Omsg)
| c_in(X0,sF26,tc_Message_Omsg)
| c_in(X0,sF6,tc_Message_Omsg) ),
inference(resolution,[],[f153,f13]) ).
fof(f13,axiom,
! [X8,X9,X7,X5] :
( ~ c_in(X5,c_union(X7,X8,X9),X9)
| c_in(X5,X8,X9)
| c_in(X5,X7,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f153,plain,
! [X0] :
( c_in(X0,c_union(sF26,sF6,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF33,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f152,f43]) ).
fof(f152,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(sF25),sF6,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF33,tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f151,f44]) ).
fof(f44,plain,
c_in(v_X,sF26,tc_Message_Omsg),
inference(definition_folding,[],[f3,f43,f42,f20]) ).
fof(f3,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f151,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(sF25),sF6,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,sF26,tc_Message_Omsg)
| ~ c_in(X0,sF33,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f150,f43]) ).
fof(f150,plain,
! [X0] :
( ~ c_in(X0,sF33,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(sF25),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(sF25),sF6,tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f149,f42]) ).
fof(f149,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF5)),sF6,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF33,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(sF25),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f148,f21]) ).
fof(f148,plain,
! [X0] :
( ~ c_in(X0,sF33,tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF5)),c_Message_Oparts(sF5),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(sF25),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f147,f52]) ).
fof(f147,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(sF32),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Osynth(sF25),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF5)),c_Message_Oparts(sF5),tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f146,f42]) ).
fof(f146,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF5)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF5)),c_Message_Oparts(sF5),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(sF32),tc_Message_Omsg) ),
inference(superposition,[],[f10,f51]) ).
fof(f10,axiom,
! [X2,X3,X4] :
( ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f71,plain,
( ~ spl34_3
| spl34_4 ),
inference(avatar_split_clause,[],[f63,f69,f65]) ).
fof(f63,plain,
! [X0] :
( ~ c_in(sF24(X0),sF13,tc_Event_Oevent)
| ~ c_in(sF4,sF6,tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f40,f41]) ).
fof(f41,plain,
~ c_in(sF12,sF13,tc_Event_Oevent),
inference(definition_folding,[],[f5,f28,f27,f26,f25,f19,f18,f17,f16,f24,f23,f17,f22]) ).
fof(f22,plain,
c_Public_OshrK(v_A) = sF7,
introduced(function_definition,[]) ).
fof(f23,plain,
c_Message_Omsg_OMPair(v_NA,sF2) = sF8,
introduced(function_definition,[]) ).
fof(f24,plain,
sF9 = c_Message_Omsg_OCrypt(sF7,sF8),
introduced(function_definition,[]) ).
fof(f25,plain,
sF10 = c_Message_Omsg_OMPair(sF9,sF4),
introduced(function_definition,[]) ).
fof(f26,plain,
sF11 = c_Message_Omsg_OMPair(v_NA,sF10),
introduced(function_definition,[]) ).
fof(f27,plain,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,sF11) = sF12,
introduced(function_definition,[]) ).
fof(f28,plain,
c_List_Oset(v_evsf,tc_Event_Oevent) = sF13,
introduced(function_definition,[]) ).
fof(f5,axiom,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f40,plain,
! [X0] :
( ~ c_in(sF24(X0),sF13,tc_Event_Oevent)
| c_in(sF12,sF13,tc_Event_Oevent)
| ~ c_in(sF4,sF6,tc_Message_Omsg) ),
inference(definition_folding,[],[f7,f28,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f16,f30,f29,f28,f27,f26,f25,f19,f18,f17,f16,f24,f23,f17,f22,f21,f20,f19,f18,f17,f16]) ).
fof(f29,plain,
c_Message_Omsg_OAgent(v_A) = sF14,
introduced(function_definition,[]) ).
fof(f30,plain,
c_Message_Omsg_OAgent(v_B) = sF15,
introduced(function_definition,[]) ).
fof(f31,plain,
sF16 = c_Message_Omsg_OMPair(sF14,sF15),
introduced(function_definition,[]) ).
fof(f32,plain,
sF17 = c_Message_Omsg_OMPair(v_NB,sF16),
introduced(function_definition,[]) ).
fof(f33,plain,
c_Message_Omsg_OMPair(v_NA,sF17) = sF18,
introduced(function_definition,[]) ).
fof(f34,plain,
c_Message_Omsg_OCrypt(sF1,sF18) = sF19,
introduced(function_definition,[]) ).
fof(f7,axiom,
! [X0] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f62,plain,
( spl34_1
| spl34_2 ),
inference(avatar_split_clause,[],[f50,f59,f55]) ).
fof(f50,plain,
( c_in(sF31,sF13,tc_Event_Oevent)
| v_B = c_Message_Oagent_OSpy ),
inference(definition_folding,[],[f6,f28,f49,f48,f47,f46,f45,f34,f33,f32,f31,f30,f29,f16,f30,f29]) ).
fof(f6,axiom,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| v_B = c_Message_Oagent_OSpy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV301-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 19:25:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (19242)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (19236)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 % (19233)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (19257)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.52 % (19235)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (19241)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (19232)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 TRYING [1]
% 0.21/0.53 % (19250)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.53 TRYING [2]
% 0.21/0.53 % (19256)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.53 % (19242)First to succeed.
% 0.21/0.53 % (19251)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.53 % (19234)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.53 % (19244)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.34/0.53 % (19243)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.34/0.53 % (19231)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.34/0.53 % (19252)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.34/0.53 % (19248)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.34/0.54 % (19242)Refutation found. Thanks to Tanya!
% 1.34/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.34/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.54 % (19242)------------------------------
% 1.34/0.54 % (19242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (19242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (19242)Termination reason: Refutation
% 1.34/0.54
% 1.34/0.54 % (19242)Memory used [KB]: 5628
% 1.34/0.54 % (19242)Time elapsed: 0.109 s
% 1.34/0.54 % (19242)Instructions burned: 6 (million)
% 1.34/0.54 % (19242)------------------------------
% 1.34/0.54 % (19242)------------------------------
% 1.34/0.54 % (19228)Success in time 0.178 s
%------------------------------------------------------------------------------