TSTP Solution File: SWC417-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC417-1 : 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 : n022.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 04:02:01 EDT 2024
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 23
% Syntax : Number of formulae : 58 ( 10 unt; 0 def)
% Number of atoms : 169 ( 39 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 222 ( 111 ~; 101 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(avatar_sat_refutation,[],[f259,f264,f269,f274,f279,f281,f316,f333,f347,f356,f366]) ).
fof(f366,plain,
spl0_19,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f365,plain,
( $false
| spl0_19 ),
inference(resolution,[],[f364,f204]) ).
fof(f204,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_1) ).
fof(f364,plain,
( ~ ssList(sk3)
| spl0_19 ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f363,plain,
( sk3 != sk3
| ~ ssList(sk3)
| spl0_19 ),
inference(superposition,[],[f355,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',clause73) ).
fof(f355,plain,
( sk3 != app(sk3,nil)
| spl0_19 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f353,plain,
( spl0_19
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f356,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_19
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f351,f345,f276,f271,f353,f266,f261]) ).
fof(f261,plain,
( spl0_5
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f266,plain,
( spl0_6
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f271,plain,
( spl0_7
<=> sk4 = app(cons(sk5,nil),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f276,plain,
( spl0_8
<=> sk3 = app(sk6,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f345,plain,
( spl0_18
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sk3 != app(app(X1,cons(X0,nil)),nil)
| app(cons(X0,nil),X1) != sk4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f351,plain,
( sk3 != app(sk3,nil)
| ~ ssList(sk6)
| ~ ssItem(sk5)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f350,f278]) ).
fof(f278,plain,
( sk3 = app(sk6,cons(sk5,nil))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f350,plain,
( ~ ssList(sk6)
| sk3 != app(app(sk6,cons(sk5,nil)),nil)
| ~ ssItem(sk5)
| ~ spl0_7
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f348]) ).
fof(f348,plain,
( sk4 != sk4
| ~ ssList(sk6)
| sk3 != app(app(sk6,cons(sk5,nil)),nil)
| ~ ssItem(sk5)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f346,f273]) ).
fof(f273,plain,
( sk4 = app(cons(sk5,nil),sk6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f346,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| ~ ssList(X1)
| sk3 != app(app(X1,cons(X0,nil)),nil)
| ~ ssItem(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( spl0_18
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f343,f331,f306,f345]) ).
fof(f306,plain,
( spl0_13
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f331,plain,
( spl0_17
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| ~ ssList(cons(X0,nil))
| sk3 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f343,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk4
| sk3 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1) )
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f342,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sk4
| sk3 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_17 ),
inference(resolution,[],[f86,f332]) ).
fof(f332,plain,
( ! [X0,X1] :
( ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sk4
| sk3 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',clause86) ).
fof(f333,plain,
( ~ spl0_13
| spl0_17
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f319,f253,f331,f306]) ).
fof(f253,plain,
( spl0_3
<=> ! [X6,X7,X8] :
( sk3 != app(app(X8,cons(X6,nil)),X7)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk4 != app(app(X7,cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f319,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sk4
| ~ ssItem(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| sk3 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) )
| ~ spl0_3 ),
inference(superposition,[],[f254,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',clause74) ).
fof(f254,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ ssList(X8)
| sk3 != app(app(X8,cons(X6,nil)),X7) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f316,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f315]) ).
fof(f315,plain,
( $false
| spl0_13 ),
inference(resolution,[],[f308,f8]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',clause8) ).
fof(f308,plain,
( ~ ssList(nil)
| spl0_13 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f281,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f280]) ).
fof(f280,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f258,f238]) ).
fof(f238,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_5) ).
fof(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_7) ).
fof(f258,plain,
( ~ neq(sk4,nil)
| spl0_4 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl0_4
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f279,plain,
( spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f203,f256,f276]) ).
fof(f203,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_18) ).
fof(f274,plain,
( spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f202,f256,f271]) ).
fof(f202,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_17) ).
fof(f269,plain,
( spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f201,f256,f266]) ).
fof(f201,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_16) ).
fof(f264,plain,
( spl0_5
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f200,f256,f261]) ).
fof(f200,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_15) ).
fof(f259,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f213,f256,f253]) ).
fof(f213,plain,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| sk3 != app(app(X8,cons(X6,nil)),X7)
| sk4 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f199,f191,f190]) ).
fof(f199,axiom,
! [X8,X6,X7] :
( ~ neq(sk4,nil)
| sk1 != app(app(X8,cons(X6,nil)),X7)
| sk2 != app(app(X7,cons(X6,nil)),X8)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.wkXkC3zdcQ/Vampire---4.8_16373',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC417-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % 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
% 0.16/0.36 % Computer : n022.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:16:28 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 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.wkXkC3zdcQ/Vampire---4.8_16373
% 0.57/0.75 % (16640)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)
% 0.57/0.75 % (16634)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)
% 0.57/0.75 % (16635)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)
% 0.57/0.75 % (16637)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)
% 0.57/0.75 % (16636)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (16639)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)
% 0.57/0.75 % (16638)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)
% 0.57/0.76 % (16638)Refutation not found, incomplete strategy% (16638)------------------------------
% 0.57/0.76 % (16638)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (16638)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (16638)Memory used [KB]: 1255
% 0.57/0.76 % (16638)Time elapsed: 0.008 s
% 0.57/0.76 % (16638)Instructions burned: 12 (million)
% 0.57/0.76 % (16638)------------------------------
% 0.57/0.76 % (16638)------------------------------
% 0.57/0.76 % (16635)First to succeed.
% 0.57/0.76 % (16634)Refutation not found, incomplete strategy% (16634)------------------------------
% 0.57/0.76 % (16634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (16634)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (16634)Memory used [KB]: 1242
% 0.57/0.76 % (16634)Time elapsed: 0.009 s
% 0.57/0.76 % (16634)Instructions burned: 13 (million)
% 0.57/0.76 % (16634)------------------------------
% 0.57/0.76 % (16634)------------------------------
% 0.57/0.76 % (16635)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (16635)------------------------------
% 0.57/0.76 % (16635)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (16635)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (16635)Memory used [KB]: 1285
% 0.57/0.76 % (16635)Time elapsed: 0.010 s
% 0.57/0.76 % (16635)Instructions burned: 14 (million)
% 0.57/0.76 % (16635)------------------------------
% 0.57/0.76 % (16635)------------------------------
% 0.57/0.76 % (16630)Success in time 0.377 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------