TSTP Solution File: RNG089+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : RNG089+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 08:54:09 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 336 ( 11 equ)
% Maximal formula atoms : 14 ( 10 avg)
% Number of connectives : 121 ( 25 ~; 23 |; 57 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 208 ( 208 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 14 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 35 ( 22 !; 12 ?; 5 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_7,type,
sQ13_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f234,plain,
$false,
inference(avatar_sat_refutation,[],[f182,f224,f232]) ).
tff(f232,plain,
spl14_2,
inference(avatar_contradiction_clause,[],[f231]) ).
tff(f231,plain,
( $false
| spl14_2 ),
inference(subsumption_resolution,[],[f230,f101]) ).
tff(f101,plain,
aElementOf0(xl,xJ),
inference(cnf_transformation,[],[f27]) ).
tff(f27,axiom,
( ( xx = sdtpldt0(xk,xl) )
& aElementOf0(xl,xJ)
& aElementOf0(xk,xI) ),
file('/export/starexec/sandbox2/tmp/tmp.etuWkFYxk1/Vampire---4.8_9218',m__934) ).
tff(f230,plain,
( ~ aElementOf0(xl,xJ)
| spl14_2 ),
inference(subsumption_resolution,[],[f228,f99]) ).
tff(f99,plain,
aElement0(xz),
inference(cnf_transformation,[],[f71]) ).
tff(f71,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ( xy = sdtpldt0(sK2,sK3) )
& aElementOf0(sK3,xJ)
& aElementOf0(sK2,xI)
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ( xx = sdtpldt0(sK4,sK5) )
& aElementOf0(sK5,xJ)
& aElementOf0(sK4,xI) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f33,f70,f69]) ).
tff(f69,plain,
( ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xy )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
=> ( ( xy = sdtpldt0(sK2,sK3) )
& aElementOf0(sK3,xJ)
& aElementOf0(sK2,xI) ) ),
introduced(choice_axiom,[]) ).
tff(f70,plain,
( ? [X2,X3] :
( ( xx = sdtpldt0(X2,X3) )
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) )
=> ( ( xx = sdtpldt0(sK4,sK5) )
& aElementOf0(sK5,xJ)
& aElementOf0(sK4,xI) ) ),
introduced(choice_axiom,[]) ).
tff(f33,plain,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xy )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X2,X3] :
( ( xx = sdtpldt0(X2,X3) )
& aElementOf0(X3,xJ)
& aElementOf0(X2,xI) ) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
( aElement0(xz)
& aElementOf0(xy,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xy )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) )
& aElementOf0(xx,sdtpldt1(xI,xJ))
& ? [X0,X1] :
( ( sdtpldt0(X0,X1) = xx )
& aElementOf0(X1,xJ)
& aElementOf0(X0,xI) ) ),
file('/export/starexec/sandbox2/tmp/tmp.etuWkFYxk1/Vampire---4.8_9218',m__901) ).
tff(f228,plain,
( ~ aElement0(xz)
| ~ aElementOf0(xl,xJ)
| spl14_2 ),
inference(resolution,[],[f89,f181]) ).
tff(f181,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| spl14_2 ),
inference(avatar_component_clause,[],[f179]) ).
tff(f179,plain,
( spl14_2
<=> aElementOf0(sdtasdt0(xz,xl),xJ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
tff(f89,plain,
! [X0: $i,X1: $i] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1)
| ~ aElementOf0(X0,xJ) ),
inference(cnf_transformation,[],[f39]) ).
tff(f39,plain,
( aIdeal0(xJ)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtasdt0(X1,X0),xJ)
| ~ aElement0(X1) )
& ! [X2] :
( aElementOf0(sdtpldt0(X0,X2),xJ)
| ~ aElementOf0(X2,xJ) ) )
| ~ aElementOf0(X0,xJ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4) )
& ! [X5] :
( aElementOf0(sdtpldt0(X3,X5),xI)
| ~ aElementOf0(X5,xI) ) )
| ~ aElementOf0(X3,xI) )
& aSet0(xI) ),
inference(ennf_transformation,[],[f32]) ).
tff(f32,plain,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X2] :
( aElementOf0(X2,xJ)
=> aElementOf0(sdtpldt0(X0,X2),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X3] :
( aElementOf0(X3,xI)
=> ( ! [X4] :
( aElement0(X4)
=> aElementOf0(sdtasdt0(X4,X3),xI) )
& ! [X5] :
( aElementOf0(X5,xI)
=> aElementOf0(sdtpldt0(X3,X5),xI) ) ) )
& aSet0(xI) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
( aIdeal0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) )
& ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) ) ) )
& aSet0(xJ)
& aIdeal0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) )
& ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) ) ) )
& aSet0(xI) ),
file('/export/starexec/sandbox2/tmp/tmp.etuWkFYxk1/Vampire---4.8_9218',m__870) ).
tff(f224,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f223]) ).
tff(f223,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f222,f100]) ).
tff(f100,plain,
aElementOf0(xk,xI),
inference(cnf_transformation,[],[f27]) ).
tff(f222,plain,
( ~ aElementOf0(xk,xI)
| spl14_1 ),
inference(subsumption_resolution,[],[f220,f99]) ).
tff(f220,plain,
( ~ aElement0(xz)
| ~ aElementOf0(xk,xI)
| spl14_1 ),
inference(resolution,[],[f85,f177]) ).
tff(f177,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| spl14_1 ),
inference(avatar_component_clause,[],[f175]) ).
tff(f175,plain,
( spl14_1
<=> aElementOf0(sdtasdt0(xz,xk),xI) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
tff(f85,plain,
! [X3: $i,X4: $i] :
( aElementOf0(sdtasdt0(X4,X3),xI)
| ~ aElement0(X4)
| ~ aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f39]) ).
tff(f182,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f108,f179,f175]) ).
tff(f108,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(cnf_transformation,[],[f40]) ).
tff(f40,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(ennf_transformation,[],[f31]) ).
tff(f31,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
inference(negated_conjecture,[],[f30]) ).
tff(f30,conjecture,
( aElementOf0(sdtasdt0(xz,xl),xJ)
& aElementOf0(sdtasdt0(xz,xk),xI) ),
file('/export/starexec/sandbox2/tmp/tmp.etuWkFYxk1/Vampire---4.8_9218',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG089+2 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31 % Computer : n028.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri May 3 18:16:38 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.17/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.etuWkFYxk1/Vampire---4.8_9218
% 0.61/0.79 % (9328)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 (2995ds/34Mi)
% 0.61/0.79 % (9331)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.79 % (9330)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79 % (9332)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 (2995ds/34Mi)
% 0.61/0.79 % (9333)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.79 % (9329)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 (2995ds/51Mi)
% 0.61/0.79 % (9334)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 (2995ds/83Mi)
% 0.61/0.80 % (9335)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 (2995ds/56Mi)
% 0.61/0.80 % (9332)Also succeeded, but the first one will report.
% 0.61/0.80 % (9333)Also succeeded, but the first one will report.
% 0.61/0.80 % (9328)First to succeed.
% 0.61/0.80 % (9330)Also succeeded, but the first one will report.
% 0.61/0.80 % (9335)Also succeeded, but the first one will report.
% 0.61/0.80 % (9328)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9326"
% 0.61/0.80 % (9328)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80 % (9328)------------------------------
% 0.61/0.80 % (9328)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80 % (9328)Termination reason: Refutation
% 0.61/0.80
% 0.61/0.80 % (9328)Memory used [KB]: 1103
% 0.61/0.80 % (9328)Time elapsed: 0.006 s
% 0.61/0.80 % (9328)Instructions burned: 7 (million)
% 0.61/0.80 % (9326)Success in time 0.479 s
% 0.61/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------