TSTP Solution File: SET204-6 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n016.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 15:38:54 EDT 2023
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,plain,
$false,
inference(subsumption_resolution,[],[f150,f120]) ).
fof(f120,plain,
member(v,y),
inference(unit_resulting_resolution,[],[f113,f15]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( member(X3,X1)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.rPtK8pJVPn/Vampire---4.8_7580',cartesian_product2) ).
fof(f113,axiom,
member(ordered_pair(u,v),cross_product(x,y)),
file('/export/starexec/sandbox2/tmp/tmp.rPtK8pJVPn/Vampire---4.8_7580',prove_cross_product_property2_1) ).
fof(f150,plain,
~ member(v,y),
inference(unit_resulting_resolution,[],[f119,f114,f16]) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X2,X0)
| ~ member(X3,X1)
| member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.rPtK8pJVPn/Vampire---4.8_7580',cartesian_product3) ).
fof(f114,axiom,
~ member(ordered_pair(v,u),cross_product(y,x)),
file('/export/starexec/sandbox2/tmp/tmp.rPtK8pJVPn/Vampire---4.8_7580',prove_cross_product_property2_2) ).
fof(f119,plain,
member(u,x),
inference(unit_resulting_resolution,[],[f113,f14]) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( member(X2,X0)
| ~ member(ordered_pair(X2,X3),cross_product(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.rPtK8pJVPn/Vampire---4.8_7580',cartesian_product1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET204-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 : n016.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 15:43:27 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.rPtK8pJVPn/Vampire---4.8_7580
% 0.15/0.36 % (7727)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (7733)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.21/0.43 % (7729)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.21/0.43 % (7731)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.21/0.43 % (7732)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.43 % (7731)First to succeed.
% 0.21/0.43 % (7731)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (7731)------------------------------
% 0.21/0.44 % (7731)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (7731)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (7731)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (7731)Memory used [KB]: 5756
% 0.21/0.44 % (7731)Time elapsed: 0.008 s
% 0.21/0.44 % (7731)------------------------------
% 0.21/0.44 % (7731)------------------------------
% 0.21/0.44 % (7727)Success in time 0.068 s
% 0.21/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------