TSTP Solution File: LCL011-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n008.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 08:21:24 EDT 2023
% Result : Unsatisfiable 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 19 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 15 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f999,plain,
$false,
inference(unit_resulting_resolution,[],[f179,f179,f965,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ormFaMZusj/Vampire---4.8_12638',condensed_detachment) ).
fof(f965,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,X1))),equivalent(X2,X2))),
inference(unit_resulting_resolution,[],[f179,f956,f1]) ).
fof(f956,plain,
! [X0] : ~ is_a_theorem(equivalent(X0,X0)),
inference(unit_resulting_resolution,[],[f2,f946,f1]) ).
fof(f946,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),X0),equivalent(X0,equivalent(b,c)))),
inference(unit_resulting_resolution,[],[f6,f614,f1]) ).
fof(f614,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),X0),equivalent(equivalent(b,c),X1)),equivalent(X1,X0))),
inference(unit_resulting_resolution,[],[f6,f558,f1]) ).
fof(f558,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(b,c))),equivalent(equivalent(equivalent(b,c),X1),X0))),
inference(unit_resulting_resolution,[],[f18,f550,f1]) ).
fof(f550,plain,
~ is_a_theorem(equivalent(equivalent(b,c),equivalent(b,c))),
inference(unit_resulting_resolution,[],[f6,f542,f1]) ).
fof(f542,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
inference(unit_resulting_resolution,[],[f6,f436,f1]) ).
fof(f436,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(c,b),equivalent(c,X0)),equivalent(equivalent(a,b),equivalent(X0,a)))),
inference(unit_resulting_resolution,[],[f375,f35,f1]) ).
fof(f35,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X3))),equivalent(equivalent(equivalent(equivalent(X4,X2),equivalent(X3,X4)),X1),X0))),
inference(unit_resulting_resolution,[],[f2,f6,f1]) ).
fof(f375,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(a,c)),equivalent(a,b)),equivalent(equivalent(c,b),X0))),
inference(unit_resulting_resolution,[],[f6,f265,f1]) ).
fof(f265,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),X0),equivalent(X0,equivalent(a,b)))),
inference(unit_resulting_resolution,[],[f6,f254,f1]) ).
fof(f254,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),X0),equivalent(equivalent(a,b),X1)),equivalent(X1,X0))),
inference(unit_resulting_resolution,[],[f6,f162,f1]) ).
fof(f162,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(a,b))),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(c,b)),X1),X0))),
inference(unit_resulting_resolution,[],[f3,f18,f1]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))),
file('/export/starexec/sandbox2/tmp/tmp.ormFaMZusj/Vampire---4.8_12638',prove_yqf) ).
fof(f18,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X3,X1),X0)),equivalent(X2,X3))),
inference(unit_resulting_resolution,[],[f2,f6,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X3,X1),equivalent(X2,X3)),X0))),
inference(unit_resulting_resolution,[],[f2,f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X1,X2)))),
file('/export/starexec/sandbox2/tmp/tmp.ormFaMZusj/Vampire---4.8_12638',yqj) ).
fof(f179,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(unit_resulting_resolution,[],[f6,f18,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n008.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 : Fri Aug 25 02:25:32 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ormFaMZusj/Vampire---4.8_12638
% 0.15/0.36 % (12763)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (12770)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)
% 0.21/0.42 % (12768)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)
% 0.21/0.42 % (12772)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)
% 0.21/0.42 % (12764)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)
% 0.21/0.42 % (12767)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)
% 0.21/0.42 % (12776)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)
% 0.21/0.42 % (12774)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)
% 0.21/0.47 % (12774)First to succeed.
% 0.21/0.47 % (12774)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.47 % (12774)------------------------------
% 0.21/0.47 % (12774)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.47 % (12774)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.47 % (12774)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (12774)Memory used [KB]: 7036
% 0.21/0.47 % (12774)Time elapsed: 0.045 s
% 0.21/0.47 % (12774)------------------------------
% 0.21/0.47 % (12774)------------------------------
% 0.21/0.47 % (12763)Success in time 0.106 s
% 0.21/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------