TSTP Solution File: LAT382+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT382+3 : 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 : n013.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 07:25:13 EDT 2024
% Result : Theorem 0.58s 0.78s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 46 ( 18 unt; 1 typ; 0 def)
% Number of atoms : 386 ( 9 equ)
% Maximal formula atoms : 22 ( 8 avg)
% Number of connectives : 198 ( 64 ~; 51 |; 62 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 207 ( 207 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 17 ( 15 usr; 7 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 48 ( 43 !; 4 ?; 12 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_11,type,
sQ5_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f178,plain,
$false,
inference(avatar_sat_refutation,[],[f126,f151,f177]) ).
tff(f177,plain,
( ~ spl6_4
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f176,f120,f135]) ).
tff(f135,plain,
( spl6_4
<=> sdtlseqdt0(xu,xv) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).
tff(f120,plain,
( spl6_2
<=> sdtlseqdt0(xv,xu) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
tff(f176,plain,
( ~ sdtlseqdt0(xu,xv)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f175,f105]) ).
tff(f105,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f102,f54]) ).
tff(f54,plain,
aSet0(xT),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
aSet0(xT),
file('/export/starexec/sandbox2/tmp/tmp.p57sW2Wwxg/Vampire---4.8_26930',m__773) ).
tff(f102,plain,
( aElement0(xu)
| ~ aSet0(xT) ),
inference(resolution,[],[f79,f58]) ).
tff(f58,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f38]) ).
tff(f38,plain,
( aInfimumOfIn0(xv,xS,xT)
& ! [X0] :
( sdtlseqdt0(X0,xv)
| ( ~ aLowerBoundOfIn0(X0,xS,xT)
& ( ( ~ sdtlseqdt0(X0,sK0(X0))
& aElementOf0(sK0(X0),xS) )
| ~ aElementOf0(X0,xT) ) ) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X2] :
( sdtlseqdt0(xv,X2)
| ~ aElementOf0(X2,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aInfimumOfIn0(xu,xS,xT)
& ! [X3] :
( sdtlseqdt0(X3,xu)
| ( ~ aLowerBoundOfIn0(X3,xS,xT)
& ( ( ~ sdtlseqdt0(X3,sK1(X3))
& aElementOf0(sK1(X3),xS) )
| ~ aElementOf0(X3,xT) ) ) )
& aLowerBoundOfIn0(xu,xS,xT)
& ! [X5] :
( sdtlseqdt0(xu,X5)
| ~ aElementOf0(X5,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f37,f36]) ).
tff(f36,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xS) )
=> ( ~ sdtlseqdt0(X0,sK0(X0))
& aElementOf0(sK0(X0),xS) ) ),
introduced(choice_axiom,[]) ).
tff(f37,plain,
! [X3] :
( ? [X4] :
( ~ sdtlseqdt0(X3,X4)
& aElementOf0(X4,xS) )
=> ( ~ sdtlseqdt0(X3,sK1(X3))
& aElementOf0(sK1(X3),xS) ) ),
introduced(choice_axiom,[]) ).
tff(f26,plain,
( aInfimumOfIn0(xv,xS,xT)
& ! [X0] :
( sdtlseqdt0(X0,xv)
| ( ~ aLowerBoundOfIn0(X0,xS,xT)
& ( ? [X1] :
( ~ sdtlseqdt0(X0,X1)
& aElementOf0(X1,xS) )
| ~ aElementOf0(X0,xT) ) ) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X2] :
( sdtlseqdt0(xv,X2)
| ~ aElementOf0(X2,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aInfimumOfIn0(xu,xS,xT)
& ! [X3] :
( sdtlseqdt0(X3,xu)
| ( ~ aLowerBoundOfIn0(X3,xS,xT)
& ( ? [X4] :
( ~ sdtlseqdt0(X3,X4)
& aElementOf0(X4,xS) )
| ~ aElementOf0(X3,xT) ) ) )
& aLowerBoundOfIn0(xu,xS,xT)
& ! [X5] :
( sdtlseqdt0(xu,X5)
| ~ aElementOf0(X5,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(ennf_transformation,[],[f20]) ).
tff(f20,plain,
( aInfimumOfIn0(xv,xS,xT)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(X0,xv) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X2] :
( aElementOf0(X2,xS)
=> sdtlseqdt0(xv,X2) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aInfimumOfIn0(xu,xS,xT)
& ! [X3] :
( ( aLowerBoundOfIn0(X3,xS,xT)
| ( ! [X4] :
( aElementOf0(X4,xS)
=> sdtlseqdt0(X3,X4) )
& aElementOf0(X3,xT) ) )
=> sdtlseqdt0(X3,xu) )
& aLowerBoundOfIn0(xu,xS,xT)
& ! [X5] :
( aElementOf0(X5,xS)
=> sdtlseqdt0(xu,X5) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
( aInfimumOfIn0(xv,xS,xT)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(X0,xv) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(xv,X0) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aInfimumOfIn0(xu,xS,xT)
& ! [X0] :
( ( aLowerBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X0,X1) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(X0,xu) )
& aLowerBoundOfIn0(xu,xS,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(xu,X0) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
file('/export/starexec/sandbox2/tmp/tmp.p57sW2Wwxg/Vampire---4.8_26930',m__792) ).
tff(f79,plain,
! [X0: $i,X1: $i] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f28]) ).
tff(f28,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.p57sW2Wwxg/Vampire---4.8_26930',mEOfElem) ).
tff(f175,plain,
( ~ sdtlseqdt0(xu,xv)
| ~ aElement0(xu)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f174,f106]) ).
tff(f106,plain,
aElement0(xv),
inference(subsumption_resolution,[],[f103,f54]) ).
tff(f103,plain,
( aElement0(xv)
| ~ aSet0(xT) ),
inference(resolution,[],[f79,f66]) ).
tff(f66,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[],[f38]) ).
tff(f174,plain,
( ~ sdtlseqdt0(xu,xv)
| ~ aElement0(xv)
| ~ aElement0(xu)
| ~ spl6_2 ),
inference(subsumption_resolution,[],[f173,f122]) ).
tff(f122,plain,
( sdtlseqdt0(xv,xu)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f120]) ).
tff(f173,plain,
( ~ sdtlseqdt0(xv,xu)
| ~ sdtlseqdt0(xu,xv)
| ~ aElement0(xv)
| ~ aElement0(xu) ),
inference(resolution,[],[f94,f93]) ).
tff(f93,plain,
~ sQ5_eqProxy($i,xu,xv),
inference(equality_proxy_replacement,[],[f74,f92]) ).
tff(f92,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ5_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
tff(f74,plain,
xu != xv,
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
xu != xv,
inference(flattening,[],[f19]) ).
tff(f19,negated_conjecture,
( ~ xu = xv ),
inference(negated_conjecture,[],[f18]) ).
tff(f18,conjecture,
xu = xv,
file('/export/starexec/sandbox2/tmp/tmp.p57sW2Wwxg/Vampire---4.8_26930',m__) ).
tff(f94,plain,
! [X0: $i,X1: $i] :
( sQ5_eqProxy($i,X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(equality_proxy_replacement,[],[f85,f92]) ).
tff(f85,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f33]) ).
tff(f33,plain,
! [X0,X1] :
( ( X0 = X1 )
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f32]) ).
tff(f32,plain,
! [X0,X1] :
( ( X0 = X1 )
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
tff(f8,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> ( X0 = X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.p57sW2Wwxg/Vampire---4.8_26930',mASymm) ).
tff(f151,plain,
spl6_4,
inference(avatar_split_clause,[],[f99,f135]) ).
tff(f99,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[],[f72,f61]) ).
tff(f61,plain,
aLowerBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[],[f38]) ).
tff(f72,plain,
! [X0: $i] :
( ~ aLowerBoundOfIn0(X0,xS,xT)
| sdtlseqdt0(X0,xv) ),
inference(cnf_transformation,[],[f38]) ).
tff(f126,plain,
spl6_2,
inference(avatar_split_clause,[],[f98,f120]) ).
tff(f98,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[],[f64,f69]) ).
tff(f69,plain,
aLowerBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[],[f38]) ).
tff(f64,plain,
! [X3: $i] :
( ~ aLowerBoundOfIn0(X3,xS,xT)
| sdtlseqdt0(X3,xu) ),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % 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
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 12:12:49 EDT 2024
% 0.13/0.36 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37 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.p57sW2Wwxg/Vampire---4.8_26930
% 0.58/0.78 % (27038)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)
% 0.58/0.78 % (27041)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)
% 0.58/0.78 % (27040)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.78 % (27042)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)
% 0.58/0.78 % (27039)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)
% 0.58/0.78 % (27044)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)
% 0.58/0.78 % (27045)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)
% 0.58/0.78 % (27038)First to succeed.
% 0.58/0.78 % (27041)Refutation not found, incomplete strategy% (27041)------------------------------
% 0.58/0.78 % (27041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.78 % (27041)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.78
% 0.58/0.78 % (27041)Memory used [KB]: 1044
% 0.58/0.78 % (27041)Time elapsed: 0.003 s
% 0.58/0.78 % (27041)Instructions burned: 4 (million)
% 0.58/0.78 % (27041)------------------------------
% 0.58/0.78 % (27041)------------------------------
% 0.58/0.78 % (27045)Also succeeded, but the first one will report.
% 0.58/0.78 % (27043)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)
% 0.58/0.78 % (27038)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27037"
% 0.58/0.78 % (27038)Refutation found. Thanks to Tanya!
% 0.58/0.78 % SZS status Theorem for Vampire---4
% 0.58/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.79 % (27038)------------------------------
% 0.58/0.79 % (27038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.79 % (27038)Termination reason: Refutation
% 0.58/0.79
% 0.58/0.79 % (27038)Memory used [KB]: 1063
% 0.58/0.79 % (27038)Time elapsed: 0.004 s
% 0.58/0.79 % (27038)Instructions burned: 6 (million)
% 0.58/0.79 % (27037)Success in time 0.403 s
% 0.58/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------