TSTP Solution File: SWV291-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV291-2 : 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 : n021.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 18:56:12 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 69 ( 33 unt; 0 def)
% Number of atoms : 117 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 93 ( 45 ~; 46 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 29 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,plain,
$false,
inference(avatar_sat_refutation,[],[f72,f75,f78]) ).
fof(f78,plain,
~ spl18_1,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| ~ spl18_1 ),
inference(subsumption_resolution,[],[f76,f35]) ).
fof(f35,plain,
~ c_in(sF8,sF17,tc_Message_Omsg),
inference(subsumption_resolution,[],[f33,f34]) ).
fof(f34,plain,
~ c_in(sF15,sF16,tc_Event_Oevent),
inference(definition_folding,[],[f5,f31,f30,f29,f28,f27,f21,f20,f19,f18,f17,f16,f18,f17]) ).
fof(f16,plain,
c_Public_OshrK(v_A) = sF3,
introduced(function_definition,[]) ).
fof(f17,plain,
c_Message_Omsg_OAgent(v_A) = sF4,
introduced(function_definition,[]) ).
fof(f18,plain,
c_Message_Omsg_OAgent(v_B) = sF5,
introduced(function_definition,[]) ).
fof(f19,plain,
c_Message_Omsg_OMPair(sF4,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f20,plain,
sF7 = c_Message_Omsg_OMPair(v_NA,sF6),
introduced(function_definition,[]) ).
fof(f21,plain,
sF8 = c_Message_Omsg_OCrypt(sF3,sF7),
introduced(function_definition,[]) ).
fof(f27,plain,
c_Message_Omsg_OMPair(sF5,sF8) = sF12,
introduced(function_definition,[]) ).
fof(f28,plain,
sF13 = c_Message_Omsg_OMPair(sF4,sF12),
introduced(function_definition,[]) ).
fof(f29,plain,
c_Message_Omsg_OMPair(v_NA,sF13) = sF14,
introduced(function_definition,[]) ).
fof(f30,plain,
sF15 = c_Event_Oevent_OSays(v_A,v_B,sF14),
introduced(function_definition,[]) ).
fof(f31,plain,
c_List_Oset(v_evsf,tc_Event_Oevent) = sF16,
introduced(function_definition,[]) ).
fof(f5,axiom,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f33,plain,
( c_in(sF15,sF16,tc_Event_Oevent)
| ~ c_in(sF8,sF17,tc_Message_Omsg) ),
inference(definition_folding,[],[f6,f32,f12,f21,f20,f19,f18,f17,f16,f31,f30,f29,f28,f27,f21,f20,f19,f18,f17,f16,f18,f17]) ).
fof(f12,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf) = sF0,
introduced(function_definition,[]) ).
fof(f32,plain,
c_Message_Oparts(sF0) = sF17,
introduced(function_definition,[]) ).
fof(f6,axiom,
( c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f76,plain,
( c_in(sF8,sF17,tc_Message_Omsg)
| ~ spl18_1 ),
inference(resolution,[],[f67,f38]) ).
fof(f38,plain,
! [X0] :
( ~ c_in(X0,sF1,tc_Message_Omsg)
| c_in(X0,sF17,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f37,f32]) ).
fof(f37,plain,
! [X0] :
( ~ c_in(X0,sF1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(sF0),tc_Message_Omsg) ),
inference(superposition,[],[f9,f13]) ).
fof(f13,plain,
c_Message_Oanalz(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f9,axiom,
! [X2,X4] :
( ~ c_in(X4,c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f67,plain,
( c_in(sF8,sF1,tc_Message_Omsg)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl18_1
<=> c_in(sF8,sF1,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f75,plain,
~ spl18_2,
inference(avatar_contradiction_clause,[],[f74]) ).
fof(f74,plain,
( $false
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f73,f45]) ).
fof(f45,plain,
~ c_in(c_Message_Omsg_OKey(sF3),sF17,tc_Message_Omsg),
inference(subsumption_resolution,[],[f44,f1]) ).
fof(f1,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f44,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(sF3),sF17,tc_Message_Omsg) ),
inference(superposition,[],[f42,f16]) ).
fof(f42,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),sF17,tc_Message_Omsg)
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f41,f32]) ).
fof(f41,plain,
! [X0] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(sF0),tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f40,f26]) ).
fof(f26,plain,
c_in(v_evsf,c_OtwayRees_Ootway,sF11),
inference(definition_folding,[],[f2,f25]) ).
fof(f25,plain,
tc_List_Olist(tc_Event_Oevent) = sF11,
introduced(function_definition,[]) ).
fof(f2,axiom,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f40,plain,
! [X0] :
( c_in(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evsf,c_OtwayRees_Ootway,sF11)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(sF0),tc_Message_Omsg) ),
inference(superposition,[],[f36,f12]) ).
fof(f36,plain,
! [X6,X5] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| ~ c_in(X5,c_OtwayRees_Ootway,sF11)
| c_in(X6,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_demodulation,[],[f10,f25]) ).
fof(f10,axiom,
! [X6,X5] :
( ~ c_in(X5,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X6)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)
| c_in(X6,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f73,plain,
( c_in(c_Message_Omsg_OKey(sF3),sF17,tc_Message_Omsg)
| ~ spl18_2 ),
inference(resolution,[],[f71,f38]) ).
fof(f71,plain,
( c_in(c_Message_Omsg_OKey(sF3),sF1,tc_Message_Omsg)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl18_2
<=> c_in(c_Message_Omsg_OKey(sF3),sF1,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f72,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f63,f69,f65]) ).
fof(f63,plain,
( c_in(c_Message_Omsg_OKey(sF3),sF1,tc_Message_Omsg)
| c_in(sF8,sF1,tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f62,f61]) ).
fof(f61,plain,
c_in(sF8,sF2,tc_Message_Omsg),
inference(subsumption_resolution,[],[f60,f35]) ).
fof(f60,plain,
( c_in(sF8,sF17,tc_Message_Omsg)
| c_in(sF8,sF2,tc_Message_Omsg) ),
inference(resolution,[],[f56,f24]) ).
fof(f24,plain,
c_in(sF8,sF10,tc_Message_Omsg),
inference(definition_folding,[],[f4,f23,f22,f12,f21,f20,f19,f18,f17,f16]) ).
fof(f22,plain,
sF9 = c_insert(v_X,sF0,tc_Message_Omsg),
introduced(function_definition,[]) ).
fof(f23,plain,
sF10 = c_Message_Oparts(sF9),
introduced(function_definition,[]) ).
fof(f4,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),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/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f56,plain,
! [X0] :
( ~ c_in(X0,sF10,tc_Message_Omsg)
| c_in(X0,sF17,tc_Message_Omsg)
| c_in(X0,sF2,tc_Message_Omsg) ),
inference(resolution,[],[f55,f11]) ).
fof(f11,axiom,
! [X8,X6,X7,X4] :
( ~ c_in(X4,c_union(X6,X7,X8),X8)
| c_in(X4,X6,X8)
| c_in(X4,X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f55,plain,
! [X0] :
( c_in(X0,c_union(sF2,sF17,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF10,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f54,f14]) ).
fof(f14,plain,
sF2 = c_Message_Osynth(sF1),
introduced(function_definition,[]) ).
fof(f54,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(sF1),sF17,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF10,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f53,f13]) ).
fof(f53,plain,
! [X0] :
( ~ c_in(X0,sF10,tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF0)),sF17,tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f52,f23]) ).
fof(f52,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(sF9),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF0)),sF17,tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f51,f32]) ).
fof(f51,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF0)),c_Message_Oparts(sF0),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(sF9),tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f50,f15]) ).
fof(f15,plain,
c_in(v_X,sF2,tc_Message_Omsg),
inference(definition_folding,[],[f3,f14,f13,f12]) ).
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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f50,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF0)),c_Message_Oparts(sF0),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_X,sF2,tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(sF9),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f49,f14]) ).
fof(f49,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(sF1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(sF9),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF0)),c_Message_Oparts(sF0),tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f48,f13]) ).
fof(f48,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(sF0)),tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF0)),c_Message_Oparts(sF0),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(sF9),tc_Message_Omsg) ),
inference(superposition,[],[f8,f22]) ).
fof(f8,axiom,
! [X2,X3,X1] :
( ~ c_in(X3,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
| c_in(X3,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f62,plain,
( c_in(sF8,sF1,tc_Message_Omsg)
| ~ c_in(sF8,sF2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF3),sF1,tc_Message_Omsg) ),
inference(superposition,[],[f46,f14]) ).
fof(f46,plain,
! [X0] :
( ~ c_in(sF8,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(sF8,X0,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(sF3),X0,tc_Message_Omsg) ),
inference(superposition,[],[f7,f21]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV291-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.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 30 19:09:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 % (18537)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.47 % (18553)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.48 % (18545)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.49 % (18553)First to succeed.
% 0.21/0.49 TRYING [1]
% 0.21/0.50 % (18553)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (18553)------------------------------
% 0.21/0.50 % (18553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (18553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (18553)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (18553)Memory used [KB]: 5500
% 0.21/0.50 % (18553)Time elapsed: 0.097 s
% 0.21/0.50 % (18553)Instructions burned: 4 (million)
% 0.21/0.50 % (18553)------------------------------
% 0.21/0.50 % (18553)------------------------------
% 0.21/0.50 % (18527)Success in time 0.145 s
%------------------------------------------------------------------------------