TSTP Solution File: SWC067-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC067-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n004.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 : Sun May 5 09:48:20 EDT 2024
% Result : Unsatisfiable 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 83 ( 13 unt; 0 def)
% Number of atoms : 258 ( 40 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 351 ( 176 ~; 169 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f602,plain,
$false,
inference(avatar_sat_refutation,[],[f230,f239,f240,f241,f277,f342,f364,f551,f598]) ).
fof(f598,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f597,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f596,f585]) ).
fof(f585,plain,
( segmentP(nil,nil)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f582,f228]) ).
fof(f228,plain,
( nil = sk3
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f227,plain,
( spl0_2
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f582,plain,
( segmentP(nil,sk3)
| ~ spl0_1 ),
inference(superposition,[],[f267,f225]) ).
fof(f225,plain,
( nil = sk4
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f267,plain,
segmentP(sk4,sk3),
inference(subsumption_resolution,[],[f266,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_8) ).
fof(f266,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f265,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_7) ).
fof(f265,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f264,f203]) ).
fof(f203,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_1) ).
fof(f264,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(subsumption_resolution,[],[f244,f204]) ).
fof(f204,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_2) ).
fof(f244,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(superposition,[],[f216,f194]) ).
fof(f194,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_9) ).
fof(f216,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause173) ).
fof(f596,plain,
( ~ segmentP(nil,nil)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f595,f225]) ).
fof(f595,plain,
( ~ segmentP(sk4,sk4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f594,f585]) ).
fof(f594,plain,
( ~ segmentP(nil,nil)
| ~ segmentP(sk4,sk4)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f593,f228]) ).
fof(f593,plain,
( ~ segmentP(sk3,nil)
| ~ segmentP(sk4,sk4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f592,f225]) ).
fof(f592,plain,
( ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4)
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f458,f204]) ).
fof(f458,plain,
( ~ ssList(sk4)
| ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f238,f234]) ).
fof(f234,plain,
( neq(sk4,nil)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f238,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl0_4
<=> ! [X6] :
( ~ segmentP(sk3,X6)
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f551,plain,
( spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f537,f237,f227]) ).
fof(f537,plain,
( nil = sk3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f534,f203]) ).
fof(f534,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f532]) ).
fof(f532,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_4 ),
inference(resolution,[],[f461,f57]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause57) ).
fof(f461,plain,
( ! [X0] :
( ~ segmentP(sk3,X0)
| ~ ssList(X0)
| nil = X0 )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f460,f263]) ).
fof(f263,plain,
! [X0] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(subsumption_resolution,[],[f262,f193]) ).
fof(f262,plain,
! [X0] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ segmentP(sk3,X0) ),
inference(subsumption_resolution,[],[f261,f192]) ).
fof(f261,plain,
! [X0] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ segmentP(sk3,X0) ),
inference(subsumption_resolution,[],[f243,f203]) ).
fof(f243,plain,
! [X0] :
( segmentP(sk4,X0)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ segmentP(sk3,X0) ),
inference(superposition,[],[f172,f194]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause172) ).
fof(f460,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| nil = X0 )
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f459,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause8) ).
fof(f459,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| nil = X0
| ~ ssList(nil) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f456]) ).
fof(f456,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl0_4 ),
inference(resolution,[],[f238,f100]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause100) ).
fof(f364,plain,
( spl0_2
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| spl0_2
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f362,f229]) ).
fof(f229,plain,
( nil != sk3
| spl0_2 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f362,plain,
( nil = sk3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f361,f203]) ).
fof(f361,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f357,f192]) ).
fof(f357,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f347]) ).
fof(f347,plain,
( nil != nil
| ~ ssList(sk5)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_5 ),
inference(superposition,[],[f119,f272]) ).
fof(f272,plain,
( nil = app(sk5,sk3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl0_5
<=> nil = app(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X1 ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause119) ).
fof(f342,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f341,plain,
( $false
| spl0_6 ),
inference(subsumption_resolution,[],[f340,f203]) ).
fof(f340,plain,
( ~ ssList(sk3)
| spl0_6 ),
inference(subsumption_resolution,[],[f339,f192]) ).
fof(f339,plain,
( ~ ssList(sk5)
| ~ ssList(sk3)
| spl0_6 ),
inference(resolution,[],[f276,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause85) ).
fof(f276,plain,
( ~ ssList(app(sk5,sk3))
| spl0_6 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl0_6
<=> ssList(app(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f277,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f268,f223,f274,f270]) ).
fof(f268,plain,
( nil != sk4
| ~ ssList(app(sk5,sk3))
| nil = app(sk5,sk3) ),
inference(subsumption_resolution,[],[f247,f193]) ).
fof(f247,plain,
( nil != sk4
| ~ ssList(app(sk5,sk3))
| ~ ssList(sk6)
| nil = app(sk5,sk3) ),
inference(superposition,[],[f118,f194]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| nil = X0 ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',clause118) ).
fof(f241,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f208,f237,f227]) ).
fof(f208,plain,
! [X6] :
( ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil != sk3 ),
inference(definition_unfolding,[],[f202,f191,f190,f191]) ).
fof(f202,axiom,
! [X6] :
( ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil != sk1 ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_17) ).
fof(f240,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f207,f232,f227]) ).
fof(f207,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f201,f190,f191]) ).
fof(f201,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_16) ).
fof(f239,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f206,f237,f223]) ).
fof(f206,plain,
! [X6] :
( ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil = sk4 ),
inference(definition_unfolding,[],[f200,f191,f190,f190]) ).
fof(f200,axiom,
! [X6] :
( ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil = sk2 ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_15) ).
fof(f230,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f198,f227,f223]) ).
fof(f198,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892',co1_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC067-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:25:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.CXo0ztfIe2/Vampire---4.8_19892
% 0.59/0.75 % (20150)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.75 % (20144)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (20146)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (20145)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.75 % (20147)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.75 % (20148)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (20149)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.76 % (20149)First to succeed.
% 0.59/0.76 % (20151)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.76 % (20149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20140"
% 0.59/0.76 % (20150)Also succeeded, but the first one will report.
% 0.59/0.76 % (20149)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (20149)------------------------------
% 0.59/0.76 % (20149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (20149)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (20149)Memory used [KB]: 1329
% 0.59/0.76 % (20149)Time elapsed: 0.012 s
% 0.59/0.76 % (20149)Instructions burned: 17 (million)
% 0.59/0.76 % (20140)Success in time 0.382 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------