TSTP Solution File: LAT381+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Thu Aug 31 06:38:35 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 15 unt; 0 def)
% Number of atoms : 148 ( 8 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 159 ( 43 ~; 36 |; 62 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 42 (; 38 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,plain,
$false,
inference(unit_resulting_resolution,[],[f133,f132,f125,f70,f124,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.uJT9JkdaXD/Vampire---4.8_22322',mASymm) ).
fof(f124,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[],[f81,f86]) ).
fof(f86,plain,
aUpperBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( aSupremumOfIn0(xv,xS,xT)
& ! [X0] :
( sdtlseqdt0(xv,X0)
| ( ~ aUpperBoundOfIn0(X0,xS,xT)
& ( ( ~ sdtlseqdt0(sK0(X0),X0)
& aElementOf0(sK0(X0),xS) )
| ~ aElementOf0(X0,xT) ) ) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X2] :
( sdtlseqdt0(X2,xv)
| ~ aElementOf0(X2,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [X3] :
( sdtlseqdt0(xu,X3)
| ( ~ aUpperBoundOfIn0(X3,xS,xT)
& ( ( ~ sdtlseqdt0(sK1(X3),X3)
& aElementOf0(sK1(X3),xS) )
| ~ aElementOf0(X3,xT) ) ) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [X5] :
( sdtlseqdt0(X5,xu)
| ~ aElementOf0(X5,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f25,f39,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xS) )
=> ( ~ sdtlseqdt0(sK0(X0),X0)
& aElementOf0(sK0(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X3] :
( ? [X4] :
( ~ sdtlseqdt0(X4,X3)
& aElementOf0(X4,xS) )
=> ( ~ sdtlseqdt0(sK1(X3),X3)
& aElementOf0(sK1(X3),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
( aSupremumOfIn0(xv,xS,xT)
& ! [X0] :
( sdtlseqdt0(xv,X0)
| ( ~ aUpperBoundOfIn0(X0,xS,xT)
& ( ? [X1] :
( ~ sdtlseqdt0(X1,X0)
& aElementOf0(X1,xS) )
| ~ aElementOf0(X0,xT) ) ) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X2] :
( sdtlseqdt0(X2,xv)
| ~ aElementOf0(X2,xS) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [X3] :
( sdtlseqdt0(xu,X3)
| ( ~ aUpperBoundOfIn0(X3,xS,xT)
& ( ? [X4] :
( ~ sdtlseqdt0(X4,X3)
& aElementOf0(X4,xS) )
| ~ aElementOf0(X3,xT) ) ) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [X5] :
( sdtlseqdt0(X5,xu)
| ~ aElementOf0(X5,xS) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
( aSupremumOfIn0(xv,xS,xT)
& ! [X0] :
( ( aUpperBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(xv,X0) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X2] :
( aElementOf0(X2,xS)
=> sdtlseqdt0(X2,xv) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [X3] :
( ( aUpperBoundOfIn0(X3,xS,xT)
| ( ! [X4] :
( aElementOf0(X4,xS)
=> sdtlseqdt0(X4,X3) )
& aElementOf0(X3,xT) ) )
=> sdtlseqdt0(xu,X3) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [X5] :
( aElementOf0(X5,xS)
=> sdtlseqdt0(X5,xu) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
( aSupremumOfIn0(xv,xS,xT)
& ! [X0] :
( ( aUpperBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(xv,X0) )
& aUpperBoundOfIn0(xv,xS,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,xv) )
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& aSupremumOfIn0(xu,xS,xT)
& ! [X0] :
( ( aUpperBoundOfIn0(X0,xS,xT)
| ( ! [X1] :
( aElementOf0(X1,xS)
=> sdtlseqdt0(X1,X0) )
& aElementOf0(X0,xT) ) )
=> sdtlseqdt0(xu,X0) )
& aUpperBoundOfIn0(xu,xS,xT)
& ! [X0] :
( aElementOf0(X0,xS)
=> sdtlseqdt0(X0,xu) )
& aElementOf0(xu,xT)
& aElementOf0(xu,xT) ),
file('/export/starexec/sandbox2/tmp/tmp.uJT9JkdaXD/Vampire---4.8_22322',m__744) ).
fof(f81,plain,
! [X3] :
( ~ aUpperBoundOfIn0(X3,xS,xT)
| sdtlseqdt0(xu,X3) ),
inference(cnf_transformation,[],[f40]) ).
fof(f70,plain,
xu != xv,
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
xu != xv,
inference(flattening,[],[f18]) ).
fof(f18,negated_conjecture,
xu != xv,
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
xu = xv,
file('/export/starexec/sandbox2/tmp/tmp.uJT9JkdaXD/Vampire---4.8_22322',m__) ).
fof(f125,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[],[f89,f78]) ).
fof(f78,plain,
aUpperBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[],[f40]) ).
fof(f89,plain,
! [X0] :
( ~ aUpperBoundOfIn0(X0,xS,xT)
| sdtlseqdt0(xv,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f132,plain,
aElement0(xu),
inference(subsumption_resolution,[],[f130,f71]) ).
fof(f71,plain,
aSet0(xT),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
aSet0(xT),
file('/export/starexec/sandbox2/tmp/tmp.uJT9JkdaXD/Vampire---4.8_22322',m__725) ).
fof(f130,plain,
( aElement0(xu)
| ~ aSet0(xT) ),
inference(resolution,[],[f112,f76]) ).
fof(f76,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[],[f40]) ).
fof(f112,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uJT9JkdaXD/Vampire---4.8_22322',mEOfElem) ).
fof(f133,plain,
aElement0(xv),
inference(subsumption_resolution,[],[f131,f71]) ).
fof(f131,plain,
( aElement0(xv)
| ~ aSet0(xT) ),
inference(resolution,[],[f112,f84]) ).
fof(f84,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT381+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n009.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 04:13:36 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.uJT9JkdaXD/Vampire---4.8_22322
% 0.15/0.36 % (22431)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22436)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.42 % (22435)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.42 % (22434)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.42 % (22433)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.42 % (22437)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42 % (22432)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.42 % (22438)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.42 % (22435)Refutation not found, incomplete strategy% (22435)------------------------------
% 0.22/0.42 % (22435)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (22436)First to succeed.
% 0.22/0.42 % (22435)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (22435)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (22435)Memory used [KB]: 10106
% 0.22/0.42 % (22435)Time elapsed: 0.008 s
% 0.22/0.42 % (22435)------------------------------
% 0.22/0.42 % (22435)------------------------------
% 0.22/0.43 % (22438)Also succeeded, but the first one will report.
% 0.22/0.43 % (22437)Also succeeded, but the first one will report.
% 0.22/0.43 % (22436)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Theorem for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (22436)------------------------------
% 0.22/0.43 % (22436)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (22436)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (22436)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (22436)Memory used [KB]: 1151
% 0.22/0.43 % (22436)Time elapsed: 0.010 s
% 0.22/0.43 % (22436)------------------------------
% 0.22/0.43 % (22436)------------------------------
% 0.22/0.43 % (22431)Success in time 0.067 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------