TSTP Solution File: LCL115-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL115-1 : 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 : n002.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 08:21:55 EDT 2023
% Result : Unsatisfiable 24.80s 3.97s
% Output : Refutation 24.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 6
% Syntax : Number of formulae : 39 ( 14 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 101 ( 67 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 80 (; 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38585,plain,
$false,
inference(resolution,[],[f38574,f4]) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox/tmp/tmp.GtlwjOyNVD/Vampire---4.8_1487',mv_3) ).
fof(f38574,plain,
! [X1] : ~ is_a_theorem(X1),
inference(resolution,[],[f38572,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.GtlwjOyNVD/Vampire---4.8_1487',mv_1) ).
fof(f38572,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(implies(a,b)),X1),X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f38568,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.GtlwjOyNVD/Vampire---4.8_1487',condensed_detachment) ).
fof(f38568,plain,
! [X0] : ~ is_a_theorem(implies(implies(not(implies(a,b)),X0),X0)),
inference(resolution,[],[f38566,f4]) ).
fof(f38566,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,not(implies(a,b))),not(implies(X2,b)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f38562,f1]) ).
fof(f38562,plain,
! [X0,X1] : ~ is_a_theorem(implies(implies(X0,not(implies(a,b))),not(implies(X1,b)))),
inference(resolution,[],[f38559,f5]) ).
fof(f5,axiom,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
file('/export/starexec/sandbox/tmp/tmp.GtlwjOyNVD/Vampire---4.8_1487',mv_5) ).
fof(f38559,plain,
! [X8,X6,X7] :
( ~ is_a_theorem(implies(implies(not(not(implies(a,b))),X6),X7))
| ~ is_a_theorem(implies(X7,not(implies(X8,b)))) ),
inference(resolution,[],[f38539,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/tmp/tmp.GtlwjOyNVD/Vampire---4.8_1487',mv_2) ).
fof(f38539,plain,
! [X6,X7,X4,X5] :
( ~ is_a_theorem(implies(X5,implies(X4,implies(implies(not(not(implies(a,b))),X6),not(implies(X7,b))))))
| ~ is_a_theorem(X5)
| ~ is_a_theorem(X4) ),
inference(resolution,[],[f38533,f1]) ).
fof(f38533,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(not(implies(a,b))),X1),not(implies(X2,b)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f38528,f1]) ).
fof(f38528,plain,
! [X0,X1] : ~ is_a_theorem(implies(implies(not(not(implies(a,b))),X0),not(implies(X1,b)))),
inference(resolution,[],[f38525,f5]) ).
fof(f38525,plain,
! [X8,X6,X7] :
( ~ is_a_theorem(implies(implies(X6,not(not(not(implies(a,b))))),X7))
| ~ is_a_theorem(implies(X7,not(implies(X8,b)))) ),
inference(resolution,[],[f7234,f3]) ).
fof(f7234,plain,
! [X3,X6,X4,X5] :
( ~ is_a_theorem(implies(X4,implies(X3,implies(implies(X5,not(not(not(implies(a,b))))),not(implies(X6,b))))))
| ~ is_a_theorem(X4)
| ~ is_a_theorem(X3) ),
inference(resolution,[],[f7230,f1]) ).
fof(f7230,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,not(not(not(implies(a,b))))),not(implies(X2,b)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f7228,f1]) ).
fof(f7228,plain,
! [X0,X1] : ~ is_a_theorem(implies(implies(X0,not(not(not(implies(a,b))))),not(implies(X1,b)))),
inference(resolution,[],[f7225,f2]) ).
fof(f7225,plain,
! [X4,X5] :
( ~ is_a_theorem(implies(not(not(not(implies(a,b)))),X4))
| ~ is_a_theorem(implies(X4,not(implies(X5,b)))) ),
inference(resolution,[],[f6557,f3]) ).
fof(f6557,plain,
! [X2,X3,X4] :
( ~ is_a_theorem(implies(X3,implies(X2,implies(not(not(not(implies(a,b)))),not(implies(X4,b))))))
| ~ is_a_theorem(X3)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f6554,f1]) ).
fof(f6554,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(not(not(implies(a,b)))),not(implies(X1,b)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f6552,f1]) ).
fof(f6552,plain,
! [X0] : ~ is_a_theorem(implies(not(not(not(implies(a,b)))),not(implies(X0,b)))),
inference(resolution,[],[f6547,f5]) ).
fof(f6547,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,b),not(not(implies(a,b))))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f6545,f5]) ).
fof(f6545,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(not(b),X0),X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,implies(X1,not(not(implies(a,b)))))) ),
inference(resolution,[],[f6541,f1]) ).
fof(f6541,plain,
! [X4,X5] :
( ~ is_a_theorem(implies(X5,not(not(implies(a,b)))))
| ~ is_a_theorem(implies(implies(not(b),X4),X5)) ),
inference(resolution,[],[f6469,f3]) ).
fof(f6469,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(implies(X2,implies(X1,implies(implies(not(b),X3),not(not(implies(a,b)))))))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f6461,f1]) ).
fof(f6461,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(not(b),X1),not(not(implies(a,b))))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f6371,f5]) ).
fof(f6371,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,not(not(b))),X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X2,implies(X1,not(not(implies(a,b)))))) ),
inference(resolution,[],[f6368,f1]) ).
fof(f6368,plain,
! [X4,X5] :
( ~ is_a_theorem(implies(X5,not(not(implies(a,b)))))
| ~ is_a_theorem(implies(implies(X4,not(not(b))),X5)) ),
inference(resolution,[],[f255,f3]) ).
fof(f255,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(implies(X2,implies(X1,implies(implies(X3,not(not(b))),not(not(implies(a,b)))))))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f251,f1]) ).
fof(f251,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X1,not(not(b))),not(not(implies(a,b))))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f249,f1]) ).
fof(f249,plain,
! [X0] : ~ is_a_theorem(implies(implies(X0,not(not(b))),not(not(implies(a,b))))),
inference(resolution,[],[f246,f2]) ).
fof(f246,plain,
! [X2] :
( ~ is_a_theorem(implies(not(not(b)),X2))
| ~ is_a_theorem(implies(X2,not(not(implies(a,b))))) ),
inference(resolution,[],[f33,f3]) ).
fof(f33,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(not(not(b)),not(not(implies(a,b)))))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f13,f1]) ).
fof(f13,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(not(b)),not(not(implies(a,b))))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f9,f1]) ).
fof(f9,plain,
~ is_a_theorem(implies(not(not(b)),not(not(implies(a,b))))),
inference(resolution,[],[f7,f5]) ).
fof(f7,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(not(implies(a,b)),not(b))))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,axiom,
~ is_a_theorem(implies(not(implies(a,b)),not(b))),
file('/export/starexec/sandbox/tmp/tmp.GtlwjOyNVD/Vampire---4.8_1487',prove_mv_39) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL115-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n002.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 17:36:16 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 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/sandbox/tmp/tmp.GtlwjOyNVD/Vampire---4.8_1487
% 0.15/0.36 % (1666)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.41 % (1669)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)
% 0.22/0.42 % (1672)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)
% 0.22/0.42 % (1674)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)
% 0.22/0.42 % (1675)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)
% 0.22/0.42 % (1670)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)
% 0.22/0.42 % (1671)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)
% 0.22/0.42 % (1673)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)
% 24.80/3.96 % (1675)First to succeed.
% 24.80/3.97 % (1675)Refutation found. Thanks to Tanya!
% 24.80/3.97 % SZS status Unsatisfiable for Vampire---4
% 24.80/3.97 % SZS output start Proof for Vampire---4
% See solution above
% 24.80/3.97 % (1675)------------------------------
% 24.80/3.97 % (1675)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 24.80/3.97 % (1675)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 24.80/3.97 % (1675)Termination reason: Refutation
% 24.80/3.97
% 24.80/3.97 % (1675)Memory used [KB]: 26353
% 24.80/3.97 % (1675)Time elapsed: 3.543 s
% 24.80/3.97 % (1675)------------------------------
% 24.80/3.97 % (1675)------------------------------
% 24.80/3.97 % (1666)Success in time 3.553 s
% 24.80/3.97 % Vampire---4.8 exiting
%------------------------------------------------------------------------------