TSTP Solution File: SWV302-2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV302-2 : 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 : n016.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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 41
% Syntax : Number of formulae : 79 ( 35 unt; 0 def)
% Number of atoms : 129 ( 30 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 103 ( 53 ~; 43 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 8 prp; 0-3 aty)
% Number of functors : 49 ( 49 usr; 38 con; 0-3 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f209,plain,
$false,
inference(avatar_sat_refutation,[],[f48,f60,f61,f62,f189,f190,f205,f208]) ).
fof(f208,plain,
( ~ spl26_1
| ~ spl26_13 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| ~ spl26_1
| ~ spl26_13 ),
inference(subsumption_resolution,[],[f206,f191]) ).
fof(f191,plain,
( c_in(v_NB,sF1,tc_Message_Omsg)
| ~ spl26_13 ),
inference(resolution,[],[f125,f65]) ).
fof(f65,plain,
! [X0] :
( ~ c_in(X0,sF25,tc_Message_Omsg)
| c_in(X0,sF1,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f64,f10]) ).
fof(f10,plain,
c_Event_Oused(v_evs2) = sF1,
introduced(function_definition,[]) ).
fof(f64,plain,
! [X0] :
( ~ c_in(X0,sF25,tc_Message_Omsg)
| c_in(X0,c_Event_Oused(v_evs2),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f63,f36]) ).
fof(f36,plain,
c_Message_Oparts(sF24) = sF25,
introduced(function_definition,[]) ).
fof(f63,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(sF24),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(v_evs2),tc_Message_Omsg) ),
inference(superposition,[],[f6,f35]) ).
fof(f35,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2) = sF24,
introduced(function_definition,[]) ).
fof(f6,axiom,
! [X2,X1] :
( ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| c_in(X1,c_Event_Oused(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f125,plain,
( c_in(v_NB,sF25,tc_Message_Omsg)
| ~ spl26_13 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl26_13
<=> c_in(v_NB,sF25,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_13])]) ).
fof(f206,plain,
( ~ c_in(v_NB,sF1,tc_Message_Omsg)
| ~ spl26_1 ),
inference(superposition,[],[f11,f43]) ).
fof(f43,plain,
( v_NB = sF0
| ~ spl26_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl26_1
<=> v_NB = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl26_1])]) ).
fof(f11,plain,
~ c_in(sF0,sF1,tc_Message_Omsg),
inference(definition_folding,[],[f3,f10,f9]) ).
fof(f9,plain,
c_Message_Omsg_ONonce(v_NBa) = sF0,
introduced(function_definition,[]) ).
fof(f3,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f205,plain,
( ~ spl26_2
| ~ spl26_5 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl26_2
| ~ spl26_5 ),
inference(subsumption_resolution,[],[f203,f47]) ).
fof(f47,plain,
( c_in(sF13,sF14,tc_Event_Oevent)
| ~ spl26_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f45,plain,
( spl26_2
<=> c_in(sF13,sF14,tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_2])]) ).
fof(f203,plain,
( ~ c_in(sF13,sF14,tc_Event_Oevent)
| ~ spl26_5 ),
inference(forward_demodulation,[],[f202,f23]) ).
fof(f23,plain,
sF13 = c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF12),
introduced(function_definition,[]) ).
fof(f202,plain,
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,sF12),sF14,tc_Event_Oevent)
| ~ spl26_5 ),
inference(forward_demodulation,[],[f201,f22]) ).
fof(f22,plain,
c_Message_Omsg_OMPair(v_NA,sF11) = sF12,
introduced(function_definition,[]) ).
fof(f201,plain,
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,sF11)),sF14,tc_Event_Oevent)
| ~ spl26_5 ),
inference(forward_demodulation,[],[f200,f21]) ).
fof(f21,plain,
c_Message_Omsg_OMPair(sF2,sF10) = sF11,
introduced(function_definition,[]) ).
fof(f200,plain,
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF2,sF10))),sF14,tc_Event_Oevent)
| ~ spl26_5 ),
inference(forward_demodulation,[],[f199,f20]) ).
fof(f20,plain,
c_Message_Omsg_OMPair(sF3,sF9) = sF10,
introduced(function_definition,[]) ).
fof(f199,plain,
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,sF9)))),sF14,tc_Event_Oevent)
| ~ spl26_5 ),
inference(superposition,[],[f59,f19]) ).
fof(f19,plain,
sF9 = c_Message_Omsg_OMPair(v_x,sF8),
introduced(function_definition,[]) ).
fof(f59,plain,
( ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(X0,sF8))))),sF14,tc_Event_Oevent)
| ~ spl26_5 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl26_5
<=> ! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(X0,sF8))))),sF14,tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_5])]) ).
fof(f190,plain,
( ~ spl26_15
| spl26_13 ),
inference(avatar_split_clause,[],[f179,f123,f133]) ).
fof(f133,plain,
( spl26_15
<=> c_in(sF19,sF25,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_15])]) ).
fof(f179,plain,
( c_in(v_NB,sF25,tc_Message_Omsg)
| ~ c_in(sF19,sF25,tc_Message_Omsg) ),
inference(superposition,[],[f78,f30]) ).
fof(f30,plain,
c_Message_Omsg_OMPair(v_NB,sF16) = sF19,
introduced(function_definition,[]) ).
fof(f78,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),sF25,tc_Message_Omsg)
| c_in(X0,sF25,tc_Message_Omsg) ),
inference(superposition,[],[f7,f36]) ).
fof(f7,axiom,
! [X3,X4,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X3,X4),c_Message_Oparts(X5),tc_Message_Omsg)
| c_in(X3,c_Message_Oparts(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f189,plain,
( ~ spl26_4
| spl26_15 ),
inference(avatar_contradiction_clause,[],[f188]) ).
fof(f188,plain,
( $false
| ~ spl26_4
| spl26_15 ),
inference(subsumption_resolution,[],[f187,f135]) ).
fof(f135,plain,
( ~ c_in(sF19,sF25,tc_Message_Omsg)
| spl26_15 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f187,plain,
( c_in(sF19,sF25,tc_Message_Omsg)
| ~ spl26_4 ),
inference(subsumption_resolution,[],[f186,f55]) ).
fof(f55,plain,
( c_in(sF20,sF25,tc_Message_Omsg)
| ~ spl26_4 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl26_4
<=> c_in(sF20,sF25,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_4])]) ).
fof(f186,plain,
( ~ c_in(sF20,sF25,tc_Message_Omsg)
| c_in(sF19,sF25,tc_Message_Omsg) ),
inference(superposition,[],[f80,f36]) ).
fof(f80,plain,
! [X1] :
( ~ c_in(sF20,c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(sF19,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(superposition,[],[f8,f31]) ).
fof(f31,plain,
sF20 = c_Message_Omsg_OCrypt(sF4,sF19),
introduced(function_definition,[]) ).
fof(f8,axiom,
! [X3,X6,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(X6,X3),c_Message_Oparts(X5),tc_Message_Omsg)
| c_in(X3,c_Message_Oparts(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f62,plain,
~ spl26_3,
inference(avatar_split_clause,[],[f38,f50]) ).
fof(f50,plain,
( spl26_3
<=> c_in(sF23,sF14,tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl26_3])]) ).
fof(f38,plain,
~ c_in(sF23,sF14,tc_Event_Oevent),
inference(definition_folding,[],[f5,f24,f34,f33,f32,f31,f30,f27,f14,f29,f28,f27,f26]) ).
fof(f26,plain,
c_Public_OshrK(v_A) = sF15,
introduced(function_definition,[]) ).
fof(f28,plain,
sF17 = c_Message_Omsg_OMPair(v_NA,sF16),
introduced(function_definition,[]) ).
fof(f29,plain,
sF18 = c_Message_Omsg_OCrypt(sF15,sF17),
introduced(function_definition,[]) ).
fof(f14,plain,
c_Public_OshrK(v_B) = sF4,
introduced(function_definition,[]) ).
fof(f27,plain,
c_Message_Omsg_OKey(v_K) = sF16,
introduced(function_definition,[]) ).
fof(f32,plain,
c_Message_Omsg_OMPair(sF18,sF20) = sF21,
introduced(function_definition,[]) ).
fof(f33,plain,
sF22 = c_Message_Omsg_OMPair(v_NA,sF21),
introduced(function_definition,[]) ).
fof(f34,plain,
c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,sF22) = sF23,
introduced(function_definition,[]) ).
fof(f24,plain,
c_List_Oset(v_evs2,tc_Event_Oevent) = sF14,
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_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f61,plain,
spl26_4,
inference(avatar_split_clause,[],[f39,f54]) ).
fof(f39,plain,
c_in(sF20,sF25,tc_Message_Omsg),
inference(definition_folding,[],[f4,f36,f35,f31,f30,f27,f14]) ).
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_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f60,plain,
( spl26_3
| ~ spl26_4
| spl26_5 ),
inference(avatar_split_clause,[],[f37,f58,f54,f50]) ).
fof(f37,plain,
! [X0] :
( ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(sF2,c_Message_Omsg_OMPair(sF3,c_Message_Omsg_OMPair(X0,sF8))))),sF14,tc_Event_Oevent)
| ~ c_in(sF20,sF25,tc_Message_Omsg)
| c_in(sF23,sF14,tc_Event_Oevent) ),
inference(definition_folding,[],[f2,f36,f35,f31,f30,f27,f14,f24,f18,f17,f16,f15,f13,f12,f14,f13,f12,f24,f34,f33,f32,f31,f30,f27,f14,f29,f28,f27,f26]) ).
fof(f12,plain,
c_Message_Omsg_OAgent(v_A) = sF2,
introduced(function_definition,[]) ).
fof(f13,plain,
c_Message_Omsg_OAgent(v_B) = sF3,
introduced(function_definition,[]) ).
fof(f15,plain,
sF5 = c_Message_Omsg_OMPair(sF2,sF3),
introduced(function_definition,[]) ).
fof(f16,plain,
c_Message_Omsg_OMPair(v_NB,sF5) = sF6,
introduced(function_definition,[]) ).
fof(f17,plain,
c_Message_Omsg_OMPair(v_NA,sF6) = sF7,
introduced(function_definition,[]) ).
fof(f18,plain,
c_Message_Omsg_OCrypt(sF4,sF7) = sF8,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] :
( 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_evs2,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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_evs2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_16) ).
fof(f48,plain,
( spl26_1
| spl26_2 ),
inference(avatar_split_clause,[],[f25,f45,f41]) ).
fof(f25,plain,
( c_in(sF13,sF14,tc_Event_Oevent)
| v_NB = sF0 ),
inference(definition_folding,[],[f1,f9,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f13,f12,f14,f13,f12]) ).
fof(f1,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_evs2,tc_Event_Oevent),tc_Event_Oevent)
| v_NB = c_Message_Omsg_ONonce(v_NBa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV302-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 19:36:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.46 % (25261)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.47 % (25269)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.48 % (25261)First to succeed.
% 0.18/0.48 % (25261)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (25261)------------------------------
% 0.18/0.48 % (25261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (25261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (25261)Termination reason: Refutation
% 0.18/0.48
% 0.18/0.48 % (25261)Memory used [KB]: 5628
% 0.18/0.48 % (25261)Time elapsed: 0.077 s
% 0.18/0.48 % (25261)Instructions burned: 6 (million)
% 0.18/0.48 % (25261)------------------------------
% 0.18/0.48 % (25261)------------------------------
% 0.18/0.48 % (25248)Success in time 0.135 s
%------------------------------------------------------------------------------