TSTP Solution File: SET046+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET046+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n020.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 15:35:58 EDT 2023
% Result : Theorem 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 3 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 81 ( 33 ~; 27 |; 15 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 37 (; 22 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,plain,
$false,
inference(resolution,[],[f20,f18]) ).
fof(f18,plain,
element(sK0,sK0),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f17,plain,
( element(sK0,sK0)
| element(sK0,sK0) ),
inference(resolution,[],[f16,f11]) ).
fof(f11,plain,
! [X1] :
( element(X1,sK1(X1))
| element(X1,sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1] :
( ( element(X1,sK0)
| ( element(sK1(X1),X1)
& element(X1,sK1(X1)) ) )
& ( ! [X3] :
( ~ element(X3,X1)
| ~ element(X1,X3) )
| ~ element(X1,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1] :
( ( element(X1,X0)
| ? [X2] :
( element(X2,X1)
& element(X1,X2) ) )
& ( ! [X3] :
( ~ element(X3,X1)
| ~ element(X1,X3) )
| ~ element(X1,X0) ) )
=> ! [X1] :
( ( element(X1,sK0)
| ? [X2] :
( element(X2,X1)
& element(X1,X2) ) )
& ( ! [X3] :
( ~ element(X3,X1)
| ~ element(X1,X3) )
| ~ element(X1,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X1] :
( ? [X2] :
( element(X2,X1)
& element(X1,X2) )
=> ( element(sK1(X1),X1)
& element(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
? [X0] :
! [X1] :
( ( element(X1,X0)
| ? [X2] :
( element(X2,X1)
& element(X1,X2) ) )
& ( ! [X3] :
( ~ element(X3,X1)
| ~ element(X1,X3) )
| ~ element(X1,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
? [X0] :
! [X1] :
( ( element(X1,X0)
| ? [X2] :
( element(X2,X1)
& element(X1,X2) ) )
& ( ! [X2] :
( ~ element(X2,X1)
| ~ element(X1,X2) )
| ~ element(X1,X0) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,plain,
? [X0] :
! [X1] :
( element(X1,X0)
<=> ! [X2] :
( ~ element(X2,X1)
| ~ element(X1,X2) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ ? [X2] :
( element(X2,X1)
& element(X1,X2) ) ),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ ? [X2] :
( element(X2,X1)
& element(X1,X2) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
! [X1] :
( element(X1,X0)
<=> ~ ? [X2] :
( element(X2,X1)
& element(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.2ozBdsve0I/Vampire---4.8_19420',pel42) ).
fof(f16,plain,
( ~ element(sK0,sK1(sK0))
| element(sK0,sK0) ),
inference(duplicate_literal_removal,[],[f14]) ).
fof(f14,plain,
( ~ element(sK0,sK1(sK0))
| element(sK0,sK0)
| element(sK0,sK0) ),
inference(resolution,[],[f13,f12]) ).
fof(f12,plain,
! [X1] :
( element(sK1(X1),X1)
| element(X1,sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f13,plain,
! [X0] :
( ~ element(sK1(sK0),X0)
| ~ element(X0,sK1(sK0))
| element(sK0,sK0) ),
inference(resolution,[],[f10,f12]) ).
fof(f10,plain,
! [X3,X1] :
( ~ element(X1,sK0)
| ~ element(X1,X3)
| ~ element(X3,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
~ element(sK0,sK0),
inference(resolution,[],[f19,f18]) ).
fof(f19,plain,
! [X0] :
( ~ element(sK0,X0)
| ~ element(X0,sK0) ),
inference(resolution,[],[f18,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET046+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n020.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 : Sat Aug 26 08:41:14 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.2ozBdsve0I/Vampire---4.8_19420
% 0.15/0.37 % (19682)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19688)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.43 % (19689)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.43 % (19690)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.43 % (19685)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.43 % (19687)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.43 % (19691)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.43 % (19690)Refutation not found, incomplete strategy% (19690)------------------------------
% 0.22/0.43 % (19690)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (19690)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (19690)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (19690)Memory used [KB]: 5373
% 0.22/0.43 % (19690)Time elapsed: 0.004 s
% 0.22/0.43 % (19690)------------------------------
% 0.22/0.43 % (19690)------------------------------
% 0.22/0.43 % (19691)First to succeed.
% 0.22/0.43 % (19689)Also succeeded, but the first one will report.
% 0.22/0.43 % (19686)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.43 % (19691)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 % (19691)------------------------------
% 0.22/0.43 % (19691)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (19691)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (19691)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (19691)Memory used [KB]: 895
% 0.22/0.43 % (19691)Time elapsed: 0.005 s
% 0.22/0.43 % (19691)------------------------------
% 0.22/0.43 % (19691)------------------------------
% 0.22/0.43 % (19682)Success in time 0.062 s
% 0.22/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------