TSTP Solution File: SWV321-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV321-2 : 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 : n001.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 18:56:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 24
% Syntax : Number of formulae : 70 ( 11 unt; 0 def)
% Number of atoms : 140 ( 8 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 128 ( 58 ~; 65 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f33,f38,f62,f66,f91,f92,f95]) ).
fof(f95,plain,
( spl8_3
| ~ spl8_5 ),
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| spl8_3
| ~ spl8_5 ),
inference(subsumption_resolution,[],[f93,f37]) ).
fof(f37,plain,
( ~ c_in(sF4,sF5,tc_Message_Omsg)
| spl8_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl8_3
<=> c_in(sF4,sF5,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f93,plain,
( c_in(sF4,sF5,tc_Message_Omsg)
| ~ spl8_5 ),
inference(resolution,[],[f53,f42]) ).
fof(f42,plain,
! [X0] :
( ~ c_in(X0,sF1,tc_Message_Omsg)
| c_in(X0,sF5,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f41,f18]) ).
fof(f18,plain,
sF5 = c_Message_Oparts(sF0),
introduced(function_definition,[]) ).
fof(f41,plain,
! [X0] :
( c_in(X0,c_Message_Oparts(sF0),tc_Message_Omsg)
| ~ c_in(X0,sF1,tc_Message_Omsg) ),
inference(superposition,[],[f7,f13]) ).
fof(f13,plain,
sF1 = c_Message_Oanalz(sF0),
introduced(function_definition,[]) ).
fof(f7,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f53,plain,
( c_in(sF4,sF1,tc_Message_Omsg)
| ~ spl8_5 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl8_5
<=> c_in(sF4,sF1,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_5])]) ).
fof(f92,plain,
( ~ spl8_4
| spl8_5 ),
inference(avatar_split_clause,[],[f67,f51,f47]) ).
fof(f47,plain,
( spl8_4
<=> c_in(sF4,sF2,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f67,plain,
( c_in(sF4,sF1,tc_Message_Omsg)
| ~ c_in(sF4,sF2,tc_Message_Omsg) ),
inference(superposition,[],[f44,f17]) ).
fof(f17,plain,
c_Message_Omsg_OKey(sF3) = sF4,
introduced(function_definition,[]) ).
fof(f44,plain,
! [X0] :
( ~ c_in(c_Message_Omsg_OKey(X0),sF2,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X0),sF1,tc_Message_Omsg) ),
inference(superposition,[],[f6,f14]) ).
fof(f14,plain,
c_Message_Osynth(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f6,axiom,
! [X2,X3] :
( ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Osynth(X2),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).
fof(f91,plain,
( spl8_4
| ~ spl8_1
| spl8_3 ),
inference(avatar_split_clause,[],[f90,f35,f25,f47]) ).
fof(f25,plain,
( spl8_1
<=> c_in(sF4,sF7,tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f90,plain,
( c_in(sF4,sF2,tc_Message_Omsg)
| ~ spl8_1
| spl8_3 ),
inference(subsumption_resolution,[],[f86,f37]) ).
fof(f86,plain,
( c_in(sF4,sF2,tc_Message_Omsg)
| c_in(sF4,sF5,tc_Message_Omsg)
| ~ spl8_1 ),
inference(resolution,[],[f84,f27]) ).
fof(f27,plain,
( c_in(sF4,sF7,tc_Message_Omsg)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f84,plain,
! [X0] :
( ~ c_in(X0,sF7,tc_Message_Omsg)
| c_in(X0,sF2,tc_Message_Omsg)
| c_in(X0,sF5,tc_Message_Omsg) ),
inference(resolution,[],[f76,f10]) ).
fof(f10,axiom,
! [X8,X7,X4,X5] :
( ~ c_in(X4,c_union(X5,X7,X8),X8)
| c_in(X4,X5,X8)
| c_in(X4,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f76,plain,
! [X0] :
( c_in(X0,c_union(sF2,sF5,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF7,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f75,f14]) ).
fof(f75,plain,
! [X0] :
( ~ c_in(X0,sF7,tc_Message_Omsg)
| c_in(X0,c_union(c_Message_Osynth(sF1),sF5,tc_Message_Omsg),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f74,f13]) ).
fof(f74,plain,
! [X0] :
( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(sF0)),sF5,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(X0,sF7,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f73,f18]) ).
fof(f73,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,sF7,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f72,f21]) ).
fof(f21,plain,
sF7 = c_Message_Oparts(sF6),
introduced(function_definition,[]) ).
fof(f72,plain,
! [X0] :
( ~ c_in(X0,c_Message_Oparts(sF6),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(subsumption_resolution,[],[f71,f15]) ).
fof(f15,plain,
c_in(v_X,sF2,tc_Message_Omsg),
inference(definition_folding,[],[f1,f14,f13,f12]) ).
fof(f12,plain,
c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf) = sF0,
introduced(function_definition,[]) ).
fof(f1,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_1) ).
fof(f71,plain,
! [X0] :
( ~ c_in(v_X,sF2,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(sF6),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f70,f14]) ).
fof(f70,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(sF1),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(sF6),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f69,f13]) ).
fof(f69,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(sF6),tc_Message_Omsg) ),
inference(superposition,[],[f5,f20]) ).
fof(f20,plain,
c_insert(v_X,sF0,tc_Message_Omsg) = sF6,
introduced(function_definition,[]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,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(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f66,plain,
( spl8_1
| ~ spl8_2 ),
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| spl8_1
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f64,f26]) ).
fof(f26,plain,
( ~ c_in(sF4,sF7,tc_Message_Omsg)
| spl8_1 ),
inference(avatar_component_clause,[],[f25]) ).
fof(f64,plain,
( c_in(sF4,sF7,tc_Message_Omsg)
| ~ spl8_2 ),
inference(resolution,[],[f63,f40]) ).
fof(f40,plain,
! [X1] :
( ~ c_in(X1,sF6,tc_Message_Omsg)
| c_in(X1,sF7,tc_Message_Omsg) ),
inference(superposition,[],[f8,f21]) ).
fof(f8,axiom,
! [X2,X1] :
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
fof(f63,plain,
( c_in(sF4,sF6,tc_Message_Omsg)
| ~ spl8_2 ),
inference(resolution,[],[f55,f60]) ).
fof(f60,plain,
( c_in(sF4,sF0,tc_Message_Omsg)
| ~ spl8_2 ),
inference(superposition,[],[f59,f12]) ).
fof(f59,plain,
( ! [X0] : c_in(sF4,c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
| ~ spl8_2 ),
inference(forward_demodulation,[],[f58,f17]) ).
fof(f58,plain,
( ! [X0] : c_in(c_Message_Omsg_OKey(sF3),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)
| ~ spl8_2 ),
inference(subsumption_resolution,[],[f56,f31]) ).
fof(f31,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl8_2
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f56,plain,
! [X0] :
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(sF3),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg) ),
inference(superposition,[],[f9,f16]) ).
fof(f16,plain,
c_Public_OshrK(v_A) = sF3,
introduced(function_definition,[]) ).
fof(f9,axiom,
! [X6,X5] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X5)),c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg)
| ~ c_in(X5,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).
fof(f55,plain,
! [X0] :
( ~ c_in(X0,sF0,tc_Message_Omsg)
| c_in(X0,sF6,tc_Message_Omsg) ),
inference(superposition,[],[f11,f20]) ).
fof(f11,axiom,
! [X10,X8,X9,X7] :
( c_in(X9,c_insert(X10,X7,X8),X8)
| ~ c_in(X9,X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
fof(f62,plain,
( spl8_3
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f61,f29,f35]) ).
fof(f61,plain,
( c_in(sF4,sF5,tc_Message_Omsg)
| ~ spl8_2 ),
inference(resolution,[],[f60,f39]) ).
fof(f39,plain,
! [X0] :
( ~ c_in(X0,sF0,tc_Message_Omsg)
| c_in(X0,sF5,tc_Message_Omsg) ),
inference(superposition,[],[f8,f18]) ).
fof(f38,plain,
( ~ spl8_3
| spl8_2 ),
inference(avatar_split_clause,[],[f19,f29,f35]) ).
fof(f19,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(sF4,sF5,tc_Message_Omsg) ),
inference(definition_folding,[],[f2,f18,f12,f17,f16]) ).
fof(f2,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f33,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f23,f29,f25]) ).
fof(f23,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(sF4,sF7,tc_Message_Omsg) ),
inference(definition_folding,[],[f3,f21,f20,f12,f17,f16]) ).
fof(f3,axiom,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_4) ).
fof(f32,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f22,f29,f25]) ).
fof(f22,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(sF4,sF7,tc_Message_Omsg) ),
inference(definition_folding,[],[f4,f21,f20,f12,f17,f16]) ).
fof(f4,axiom,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % 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 : n001.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 19:37:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (22866)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)
% 0.20/0.48 % (22882)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.48 % (22882)First to succeed.
% 0.20/0.50 % (22882)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (22882)------------------------------
% 0.20/0.50 % (22882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (22882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (22882)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (22882)Memory used [KB]: 5500
% 0.20/0.50 % (22882)Time elapsed: 0.072 s
% 0.20/0.50 % (22882)Instructions burned: 3 (million)
% 0.20/0.50 % (22882)------------------------------
% 0.20/0.50 % (22882)------------------------------
% 0.20/0.50 % (22856)Success in time 0.146 s
%------------------------------------------------------------------------------