TSTP Solution File: SET917+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n026.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 : Sat Sep 2 00:03:31 EDT 2023
% Result : Theorem 0.24s 0.44s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 31 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 28 ( 15 ~; 6 |; 4 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 24 (; 20 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(unit_resulting_resolution,[],[f37,f35,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ in(X0,X1)
| singleton(X0) = set_intersection2(X1,singleton(X0)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( singleton(X0) = set_intersection2(X1,singleton(X0))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( in(X0,X1)
=> singleton(X0) = set_intersection2(X1,singleton(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.TWh7ljWkVu/Vampire---4.8_6170',l32_zfmisc_1) ).
fof(f35,plain,
singleton(sK0) != set_intersection2(sK1,singleton(sK0)),
inference(superposition,[],[f24,f26]) ).
fof(f26,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.TWh7ljWkVu/Vampire---4.8_6170',commutativity_k3_xboole_0) ).
fof(f24,plain,
singleton(sK0) != set_intersection2(singleton(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( singleton(sK0) != set_intersection2(singleton(sK0),sK1)
& ~ disjoint(singleton(sK0),sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f17]) ).
fof(f17,plain,
( ? [X0,X1] :
( singleton(X0) != set_intersection2(singleton(X0),X1)
& ~ disjoint(singleton(X0),X1) )
=> ( singleton(sK0) != set_intersection2(singleton(sK0),sK1)
& ~ disjoint(singleton(sK0),sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1] :
( singleton(X0) != set_intersection2(singleton(X0),X1)
& ~ disjoint(singleton(X0),X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),X1)
| disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TWh7ljWkVu/Vampire---4.8_6170',t58_zfmisc_1) ).
fof(f37,plain,
in(sK0,sK1),
inference(unit_resulting_resolution,[],[f23,f27]) ).
fof(f27,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( disjoint(singleton(X0),X1)
| in(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in(X0,X1)
=> disjoint(singleton(X0),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.TWh7ljWkVu/Vampire---4.8_6170',l28_zfmisc_1) ).
fof(f23,plain,
~ disjoint(singleton(sK0),sK1),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.16/0.17 % Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.16/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.40 % Computer : n026.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Wed Aug 30 16:00:21 EDT 2023
% 0.18/0.40 % CPUTime :
% 0.24/0.43 % (6363)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (6367)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.24/0.44 % (6370)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.24/0.44 % (6371)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.24/0.44 % (6372)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.24/0.44 % (6368)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.24/0.44 % (6373)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.24/0.44 % (6369)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.24/0.44 TRYING [1]
% 0.24/0.44 TRYING [1]
% 0.24/0.44 TRYING [2]
% 0.24/0.44 TRYING [2]
% 0.24/0.44 TRYING [3]
% 0.24/0.44 TRYING [3]
% 0.24/0.44 TRYING [4]
% 0.24/0.44 % (6373)First to succeed.
% 0.24/0.44 % (6372)Also succeeded, but the first one will report.
% 0.24/0.44 TRYING [1]
% 0.24/0.44 TRYING [2]
% 0.24/0.44 TRYING [3]
% 0.24/0.44 % (6371)Also succeeded, but the first one will report.
% 0.24/0.44 % (6373)Refutation found. Thanks to Tanya!
% 0.24/0.44 % SZS status Theorem for Vampire---4
% 0.24/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.44 % (6373)------------------------------
% 0.24/0.44 % (6373)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.44 % (6373)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.44 % (6373)Termination reason: Refutation
% 0.24/0.44
% 0.24/0.44 % (6373)Memory used [KB]: 895
% 0.24/0.44 % (6373)Time elapsed: 0.005 s
% 0.24/0.44 % (6373)------------------------------
% 0.24/0.44 % (6373)------------------------------
% 0.24/0.44 % (6363)Success in time 0.041 s
% 0.24/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------