TSTP Solution File: RNG105+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG105+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : Sun May 5 08:54:16 EDT 2024
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 12 unt; 1 typ; 0 def)
% Number of atoms : 405 ( 27 equ)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 151 ( 60 ~; 47 |; 37 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 265 ( 265 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 46 ( 33 !; 12 ?; 18 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_12,type,
sQ7_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f223,plain,
$false,
inference(avatar_sat_refutation,[],[f188,f214,f222]) ).
tff(f222,plain,
~ spl8_4,
inference(avatar_contradiction_clause,[],[f221]) ).
tff(f221,plain,
( $false
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f220,f96]) ).
tff(f96,plain,
aElement0(xu),
inference(cnf_transformation,[],[f40]) ).
tff(f40,axiom,
( ( xx = sdtasdt0(xc,xu) )
& aElement0(xu) ),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',m__1956) ).
tff(f220,plain,
( ~ aElement0(xu)
| ~ spl8_4 ),
inference(subsumption_resolution,[],[f219,f95]) ).
tff(f95,plain,
aElement0(xz),
inference(cnf_transformation,[],[f77]) ).
tff(f77,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ( xy = sdtasdt0(xc,sK0) )
& aElement0(sK0)
& aElementOf0(xx,slsdtgt0(xc))
& ( xx = sdtasdt0(xc,sK1) )
& aElement0(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f46,f76,f75]) ).
tff(f75,plain,
( ? [X0] :
( ( sdtasdt0(xc,X0) = xy )
& aElement0(X0) )
=> ( ( xy = sdtasdt0(xc,sK0) )
& aElement0(sK0) ) ),
introduced(choice_axiom,[]) ).
tff(f76,plain,
( ? [X1] :
( ( xx = sdtasdt0(xc,X1) )
& aElement0(X1) )
=> ( ( xx = sdtasdt0(xc,sK1) )
& aElement0(sK1) ) ),
introduced(choice_axiom,[]) ).
tff(f46,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( ( sdtasdt0(xc,X0) = xy )
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X1] :
( ( xx = sdtasdt0(xc,X1) )
& aElement0(X1) ) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& ? [X0] :
( ( sdtasdt0(xc,X0) = xy )
& aElement0(X0) )
& aElementOf0(xx,slsdtgt0(xc))
& ? [X0] :
( ( sdtasdt0(xc,X0) = xx )
& aElement0(X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',m__1933) ).
tff(f219,plain,
( ~ aElement0(xz)
| ~ aElement0(xu)
| ~ spl8_4 ),
inference(resolution,[],[f217,f112]) ).
tff(f112,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f63]) ).
tff(f63,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f62]) ).
tff(f62,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',mSortsB_02) ).
tff(f217,plain,
( ~ aElement0(sdtasdt0(xu,xz))
| ~ spl8_4 ),
inference(resolution,[],[f144,f215]) ).
tff(f215,plain,
( ! [X0: $i] :
( ~ sQ7_eqProxy($i,sdtasdt0(xz,xx),sdtasdt0(xc,X0))
| ~ aElement0(X0) )
| ~ spl8_4 ),
inference(resolution,[],[f186,f170]) ).
tff(f170,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ7_eqProxy(X0,X2,X1)
| ~ sQ7_eqProxy(X0,X1,X2) ),
inference(equality_proxy_axiom,[],[f138]) ).
tff(f138,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ7_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ7_eqProxy])]) ).
tff(f186,plain,
( ! [X0: $i] :
( ~ sQ7_eqProxy($i,sdtasdt0(xc,X0),sdtasdt0(xz,xx))
| ~ aElement0(X0) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f185]) ).
tff(f185,plain,
( spl8_4
<=> ! [X0] :
( ~ sQ7_eqProxy($i,sdtasdt0(xc,X0),sdtasdt0(xz,xx))
| ~ aElement0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
tff(f144,plain,
sQ7_eqProxy($i,sdtasdt0(xz,xx),sdtasdt0(xc,sdtasdt0(xu,xz))),
inference(equality_proxy_replacement,[],[f101,f138]) ).
tff(f101,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(cnf_transformation,[],[f43]) ).
tff(f43,axiom,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',m__2043) ).
tff(f214,plain,
~ spl8_3,
inference(avatar_contradiction_clause,[],[f213]) ).
tff(f213,plain,
( $false
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f212,f96]) ).
tff(f212,plain,
( ~ aElement0(xu)
| ~ spl8_3 ),
inference(subsumption_resolution,[],[f211,f98]) ).
tff(f98,plain,
aElement0(xv),
inference(cnf_transformation,[],[f41]) ).
tff(f41,axiom,
( ( xy = sdtasdt0(xc,xv) )
& aElement0(xv) ),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',m__1979) ).
tff(f211,plain,
( ~ aElement0(xv)
| ~ aElement0(xu)
| ~ spl8_3 ),
inference(resolution,[],[f210,f113]) ).
tff(f113,plain,
! [X0: $i,X1: $i] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f64]) ).
tff(f64,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f5]) ).
tff(f5,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',mSortsB) ).
tff(f210,plain,
( ~ aElement0(sdtpldt0(xu,xv))
| ~ spl8_3 ),
inference(resolution,[],[f143,f182]) ).
tff(f182,plain,
( ! [X1: $i] :
( ~ sQ7_eqProxy($i,sdtpldt0(xx,xy),sdtasdt0(xc,X1))
| ~ aElement0(X1) )
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f181]) ).
tff(f181,plain,
( spl8_3
<=> ! [X1] :
( ~ sQ7_eqProxy($i,sdtpldt0(xx,xy),sdtasdt0(xc,X1))
| ~ aElement0(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
tff(f143,plain,
sQ7_eqProxy($i,sdtpldt0(xx,xy),sdtasdt0(xc,sdtpldt0(xu,xv))),
inference(equality_proxy_replacement,[],[f100,f138]) ).
tff(f100,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(cnf_transformation,[],[f42]) ).
tff(f42,axiom,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',m__2010) ).
tff(f188,plain,
( spl8_3
| spl8_4 ),
inference(avatar_split_clause,[],[f147,f185,f181]) ).
tff(f147,plain,
! [X0: $i,X1: $i] :
( ~ sQ7_eqProxy($i,sdtasdt0(xc,X0),sdtasdt0(xz,xx))
| ~ aElement0(X0)
| ~ sQ7_eqProxy($i,sdtpldt0(xx,xy),sdtasdt0(xc,X1))
| ~ aElement0(X1) ),
inference(equality_proxy_replacement,[],[f102,f138]) ).
tff(f102,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(xc,X0) != sdtasdt0(xz,xx) )
| ~ aElement0(X0)
| ( sdtpldt0(xx,xy) != sdtasdt0(xc,X1) )
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
( ( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& ! [X0] :
( ( sdtasdt0(xc,X0) != sdtasdt0(xz,xx) )
| ~ aElement0(X0) ) )
| ( ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
& ! [X1] :
( ( sdtpldt0(xx,xy) != sdtasdt0(xc,X1) )
| ~ aElement0(X1) ) ) ),
inference(ennf_transformation,[],[f47]) ).
tff(f47,plain,
~ ( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( ( sdtasdt0(xc,X0) = sdtasdt0(xz,xx) )
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X1] :
( ( sdtpldt0(xx,xy) = sdtasdt0(xc,X1) )
& aElement0(X1) ) ) ),
inference(rectify,[],[f45]) ).
tff(f45,negated_conjecture,
~ ( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( ( sdtasdt0(xc,X0) = sdtasdt0(xz,xx) )
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X0] :
( ( sdtasdt0(xc,X0) = sdtpldt0(xx,xy) )
& aElement0(X0) ) ) ),
inference(negated_conjecture,[],[f44]) ).
tff(f44,conjecture,
( ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ? [X0] :
( ( sdtasdt0(xc,X0) = sdtasdt0(xz,xx) )
& aElement0(X0) ) )
& ( aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc))
| ? [X0] :
( ( sdtasdt0(xc,X0) = sdtpldt0(xx,xy) )
& aElement0(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Ent5L0FIzv/Vampire---4.8_19185',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG105+2 : TPTP v8.1.2. Released v4.0.0.
% 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 : n022.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 18:20:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ 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.Ent5L0FIzv/Vampire---4.8_19185
% 0.58/0.74 % (19449)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)
% 0.58/0.74 % (19450)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)
% 0.58/0.74 % (19443)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)
% 0.58/0.74 % (19445)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (19444)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)
% 0.58/0.74 % (19446)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)
% 0.58/0.74 % (19447)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)
% 0.58/0.74 % (19448)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)
% 0.58/0.75 % (19450)Refutation not found, incomplete strategy% (19450)------------------------------
% 0.58/0.75 % (19450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19450)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (19450)Memory used [KB]: 1098
% 0.58/0.75 % (19450)Time elapsed: 0.005 s
% 0.58/0.75 % (19450)Instructions burned: 5 (million)
% 0.58/0.75 % (19450)------------------------------
% 0.58/0.75 % (19450)------------------------------
% 0.58/0.75 % (19443)First to succeed.
% 0.58/0.75 % (19443)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19439"
% 0.58/0.75 % (19443)Refutation found. Thanks to Tanya!
% 0.58/0.75 % SZS status Theorem for Vampire---4
% 0.58/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.75 % (19443)------------------------------
% 0.58/0.75 % (19443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (19443)Termination reason: Refutation
% 0.58/0.75
% 0.58/0.75 % (19443)Memory used [KB]: 1109
% 0.58/0.75 % (19443)Time elapsed: 0.006 s
% 0.58/0.75 % (19443)Instructions burned: 7 (million)
% 0.58/0.75 % (19439)Success in time 0.374 s
% 0.58/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------