TSTP Solution File: SWC232-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC232-1 : 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 : n025.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 May 1 04:00:45 EDT 2024
% Result : Unsatisfiable 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 67 ( 10 unt; 0 def)
% Number of atoms : 244 ( 45 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 348 ( 171 ~; 168 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f574,plain,
$false,
inference(avatar_sat_refutation,[],[f279,f349,f351,f378,f390,f421,f437,f569,f571,f573]) ).
fof(f573,plain,
( ~ spl0_14
| spl0_3
| spl0_35 ),
inference(avatar_split_clause,[],[f572,f566,f249,f322]) ).
fof(f322,plain,
( spl0_14
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f249,plain,
( spl0_3
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f566,plain,
( spl0_35
<=> ssItem(hd(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f572,plain,
( nil = sk3
| ~ ssList(sk3)
| spl0_35 ),
inference(resolution,[],[f568,f76]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause76) ).
fof(f568,plain,
( ~ ssItem(hd(sk3))
| spl0_35 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f571,plain,
( ~ spl0_14
| spl0_3
| spl0_34 ),
inference(avatar_split_clause,[],[f570,f562,f249,f322]) ).
fof(f562,plain,
( spl0_34
<=> ssList(tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f570,plain,
( nil = sk3
| ~ ssList(sk3)
| spl0_34 ),
inference(resolution,[],[f564,f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause75) ).
fof(f564,plain,
( ~ ssList(tl(sk3))
| spl0_34 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f569,plain,
( ~ spl0_14
| spl0_3
| ~ spl0_34
| ~ spl0_35
| ~ spl0_28
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f560,f435,f419,f566,f562,f249,f322]) ).
fof(f419,plain,
( spl0_28
<=> ! [X0,X1] :
( ~ ssItem(X0)
| memberP(nil,sk5(X1,nil,X0))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f435,plain,
( spl0_32
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f560,plain,
( ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_28
| ~ spl0_32 ),
inference(equality_resolution,[],[f558]) ).
fof(f558,plain,
( ! [X0] :
( sk3 != X0
| ~ ssItem(hd(X0))
| ~ ssList(tl(X0))
| nil = X0
| ~ ssList(X0) )
| ~ spl0_28
| ~ spl0_32 ),
inference(superposition,[],[f557,f104]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause104) ).
fof(f557,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl0_28
| ~ spl0_32 ),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f554,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| cons(X0,X1) != sk3
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_28
| ~ spl0_32 ),
inference(superposition,[],[f550,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause120) ).
fof(f550,plain,
( ! [X0,X1] :
( sk3 != app(cons(X1,nil),X0)
| ~ ssItem(X1)
| cons(X1,X0) != sk3
| ~ ssList(X0) )
| ~ spl0_28
| ~ spl0_32 ),
inference(duplicate_literal_removal,[],[f549]) ).
fof(f549,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != sk3
| ~ ssItem(X1)
| ~ ssList(X0)
| sk3 != app(cons(X1,nil),X0) )
| ~ spl0_28
| ~ spl0_32 ),
inference(resolution,[],[f512,f436]) ).
fof(f436,plain,
( ! [X0,X1] :
( ssItem(sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f512,plain,
( ! [X0,X1] :
( ~ ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sk3 )
| ~ spl0_28 ),
inference(duplicate_literal_removal,[],[f497]) ).
fof(f497,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_28 ),
inference(superposition,[],[f440,f120]) ).
fof(f440,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sk5(X1,nil,X0)) )
| ~ spl0_28 ),
inference(resolution,[],[f420,f71]) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause71) ).
fof(f420,plain,
( ! [X0,X1] :
( memberP(nil,sk5(X1,nil,X0))
| ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) != sk3 )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f437,plain,
( spl0_32
| ~ spl0_15
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f413,f388,f326,f435]) ).
fof(f326,plain,
( spl0_15
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f388,plain,
( spl0_26
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f413,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) )
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f412]) ).
fof(f412,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) )
| ~ spl0_26 ),
inference(resolution,[],[f86,f389]) ).
fof(f389,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| ssItem(sk5(X1,nil,X0)) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause86) ).
fof(f421,plain,
( spl0_28
| ~ spl0_15
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f417,f376,f326,f419]) ).
fof(f376,plain,
( spl0_24
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) )
| ~ spl0_24 ),
inference(duplicate_literal_removal,[],[f408]) ).
fof(f408,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) )
| ~ spl0_24 ),
inference(resolution,[],[f86,f377]) ).
fof(f377,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk3
| ~ ssItem(X0)
| ~ ssList(X1)
| memberP(nil,sk5(X1,nil,X0)) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f390,plain,
( ~ spl0_15
| spl0_26 ),
inference(avatar_split_clause,[],[f357,f388,f326]) ).
fof(f357,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| ssItem(sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f206,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause74) ).
fof(f206,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| ssItem(sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f193,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',co1_6) ).
fof(f193,axiom,
! [X8,X6,X7] :
( ssItem(sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',co1_8) ).
fof(f378,plain,
( ~ spl0_15
| spl0_24 ),
inference(avatar_split_clause,[],[f356,f376,f326]) ).
fof(f356,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sk3
| memberP(nil,sk5(X1,nil,X0))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(superposition,[],[f207,f74]) ).
fof(f207,plain,
! [X8,X6,X7] :
( sk3 != app(app(X7,cons(X6,nil)),X8)
| memberP(X7,sk5(X8,X7,X6))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f194,f191]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( memberP(X7,sk5(X8,X7,X6))
| sk1 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',co1_9) ).
fof(f351,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| spl0_15 ),
inference(resolution,[],[f328,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',clause8) ).
fof(f328,plain,
( ~ ssList(nil)
| spl0_15 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f349,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f324,f203]) ).
fof(f203,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',co1_1) ).
fof(f324,plain,
( ~ ssList(sk3)
| spl0_14 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f279,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( nil != nil
| ~ spl0_3 ),
inference(superposition,[],[f205,f251]) ).
fof(f251,plain,
( nil = sk3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f205,plain,
nil != sk3,
inference(definition_unfolding,[],[f192,f191]) ).
fof(f192,axiom,
nil != sk1,
file('/export/starexec/sandbox/tmp/tmp.S9jykGDjGb/Vampire---4.8_9237',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC232-1 : 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 : n025.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 : Tue Apr 30 18:36:26 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.S9jykGDjGb/Vampire---4.8_9237
% 0.55/0.75 % (9494)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)
% 0.55/0.75 % (9488)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)
% 0.55/0.75 % (9490)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75 % (9489)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)
% 0.55/0.75 % (9492)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)
% 0.55/0.75 % (9493)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)
% 0.55/0.75 % (9491)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)
% 0.55/0.76 % (9495)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)
% 0.59/0.77 % (9489)First to succeed.
% 0.59/0.77 % (9489)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (9489)------------------------------
% 0.59/0.77 % (9489)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77 % (9489)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (9489)Memory used [KB]: 1343
% 0.59/0.77 % (9489)Time elapsed: 0.017 s
% 0.59/0.77 % (9489)Instructions burned: 24 (million)
% 0.59/0.77 % (9489)------------------------------
% 0.59/0.77 % (9489)------------------------------
% 0.59/0.77 % (9484)Success in time 0.389 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------