TSTP Solution File: SWC317-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC317-1 : 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 : n019.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 04:01:22 EDT 2024
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 39 ( 5 unt; 1 typ; 0 def)
% Number of atoms : 251 ( 9 equ)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 128 ( 64 ~; 57 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 149 ( 149 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 14 ( 13 !; 0 ?; 12 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_20,type,
sQ0_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f296,plain,
$false,
inference(avatar_sat_refutation,[],[f275,f276,f277,f278,f279,f290,f295]) ).
tff(f295,plain,
( ~ spl1_1
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f294]) ).
tff(f294,plain,
( $false
| ~ spl1_1
| ~ spl1_3
| ~ spl1_4
| ~ spl1_5
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f293,f268]) ).
tff(f268,plain,
( sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f266]) ).
tff(f266,plain,
( spl1_5
<=> sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f293,plain,
( ~ sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_1
| ~ spl1_3
| ~ spl1_4
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f292,f263]) ).
tff(f263,plain,
( ssList(sk6)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f261]) ).
tff(f261,plain,
( spl1_4
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f292,plain,
( ~ ssList(sk6)
| ~ sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_1
| ~ spl1_3
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f291,f258]) ).
tff(f258,plain,
( ssItem(sk5)
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f256]) ).
tff(f256,plain,
( spl1_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f291,plain,
( ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6))
| ~ spl1_1
| ~ spl1_6 ),
inference(resolution,[],[f249,f273]) ).
tff(f273,plain,
( sQ0_eqProxy($i,sk4,app(sk6,cons(sk5,nil)))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f271]) ).
tff(f271,plain,
( spl1_6
<=> sQ0_eqProxy($i,sk4,app(sk6,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f249,plain,
( ! [X6: $i,X7: $i] :
( ~ sQ0_eqProxy($i,sk4,app(X7,cons(X6,nil)))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ sQ0_eqProxy($i,sk3,app(cons(X6,nil),X7)) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f248]) ).
tff(f248,plain,
( spl1_1
<=> ! [X6,X7] :
( ~ sQ0_eqProxy($i,sk4,app(X7,cons(X6,nil)))
| ~ ssItem(X6)
| ~ ssList(X7)
| ~ sQ0_eqProxy($i,sk3,app(cons(X6,nil),X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f290,plain,
spl1_2,
inference(avatar_split_clause,[],[f246,f251]) ).
tff(f251,plain,
( spl1_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f246,plain,
neq(sk4,nil),
inference(duplicate_literal_removal,[],[f206]) ).
tff(f206,plain,
( neq(sk4,nil)
| neq(sk4,nil) ),
inference(definition_unfolding,[],[f192,f190,f190]) ).
tff(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_5) ).
tff(f192,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_7) ).
tff(f279,plain,
( spl1_6
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f224,f251,f271]) ).
tff(f224,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy($i,sk4,app(sk6,cons(sk5,nil))) ),
inference(equality_proxy_replacement,[],[f203,f218]) ).
tff(f218,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ0_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
tff(f203,axiom,
( ~ neq(sk4,nil)
| ( sk4 = app(sk6,cons(sk5,nil)) ) ),
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_18) ).
tff(f278,plain,
( spl1_5
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f223,f251,f266]) ).
tff(f223,plain,
( ~ neq(sk4,nil)
| sQ0_eqProxy($i,sk3,app(cons(sk5,nil),sk6)) ),
inference(equality_proxy_replacement,[],[f202,f218]) ).
tff(f202,axiom,
( ~ neq(sk4,nil)
| ( sk3 = app(cons(sk5,nil),sk6) ) ),
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_17) ).
tff(f277,plain,
( spl1_4
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f201,f251,f261]) ).
tff(f201,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_16) ).
tff(f276,plain,
( spl1_3
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f200,f251,f256]) ).
tff(f200,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_15) ).
tff(f275,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f222,f251,f248]) ).
tff(f222,plain,
! [X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ~ sQ0_eqProxy($i,sk4,app(X7,cons(X6,nil)))
| ~ sQ0_eqProxy($i,sk3,app(cons(X6,nil),X7))
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(equality_proxy_replacement,[],[f213,f218]) ).
tff(f213,plain,
! [X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ( sk4 != app(X7,cons(X6,nil)) )
| ( sk3 != app(cons(X6,nil),X7) )
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f199,f190,f191]) ).
tff(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_6) ).
tff(f199,axiom,
! [X6: $i,X7: $i] :
( ~ neq(sk4,nil)
| ( sk2 != app(X7,cons(X6,nil)) )
| ( sk1 != app(cons(X6,nil),X7) )
| ~ ssList(X7)
| ~ ssItem(X6) ),
file('/export/starexec/sandbox/tmp/tmp.IX1w8UXItV/Vampire---4.8_8507',co1_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC317-1 : 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 : n019.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 18:20:29 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 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.IX1w8UXItV/Vampire---4.8_8507
% 0.55/0.75 % (8766)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 % (8760)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 % (8762)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 % (8763)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)
% 0.55/0.75 % (8761)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 % (8764)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 % (8765)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 % (8760)First to succeed.
% 0.55/0.76 % (8762)Also succeeded, but the first one will report.
% 0.55/0.76 % (8767)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)
% 0.55/0.76 % (8760)Refutation found. Thanks to Tanya!
% 0.55/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.55/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.76 % (8760)------------------------------
% 0.55/0.76 % (8760)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76 % (8760)Termination reason: Refutation
% 0.55/0.76
% 0.55/0.76 % (8760)Memory used [KB]: 1186
% 0.55/0.76 % (8760)Time elapsed: 0.005 s
% 0.55/0.76 % (8760)Instructions burned: 5 (million)
% 0.55/0.76 % (8760)------------------------------
% 0.55/0.76 % (8760)------------------------------
% 0.55/0.76 % (8756)Success in time 0.381 s
% 0.55/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------