TSTP Solution File: LCL069-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 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 : n014.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 08:21:39 EDT 2023
% Result : Unsatisfiable 0.22s 0.58s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 23 unt; 0 def)
% Number of atoms : 38 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 42 (; 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12963,plain,
$false,
inference(resolution,[],[f12950,f9]) ).
fof(f9,plain,
~ is_a_theorem(sF2),
inference(definition_folding,[],[f5,f8,f7,f6]) ).
fof(f6,plain,
not(a) = sF0,
introduced(function_definition,[]) ).
fof(f7,plain,
implies(sF0,b) = sF1,
introduced(function_definition,[]) ).
fof(f8,plain,
implies(a,sF1) = sF2,
introduced(function_definition,[]) ).
fof(f5,axiom,
~ is_a_theorem(implies(a,implies(not(a),b))),
file('/export/starexec/sandbox2/tmp/tmp.TBXnZ7KGyk/Vampire---4.8_10256',prove_cn_3) ).
fof(f12950,plain,
is_a_theorem(sF2),
inference(resolution,[],[f12841,f8057]) ).
fof(f8057,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(sF0,sF2),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f7962,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.TBXnZ7KGyk/Vampire---4.8_10256',condensed_detachment) ).
fof(f7962,plain,
is_a_theorem(implies(sF0,sF2)),
inference(resolution,[],[f7917,f19]) ).
fof(f19,plain,
! [X1] : is_a_theorem(implies(implies(sF2,X1),implies(sF0,X1))),
inference(forward_demodulation,[],[f17,f6]) ).
fof(f17,plain,
! [X1] : is_a_theorem(implies(implies(sF2,X1),implies(not(a),X1))),
inference(superposition,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/tmp/tmp.TBXnZ7KGyk/Vampire---4.8_10256',cn_37) ).
fof(f7917,plain,
! [X109,X110] :
( ~ is_a_theorem(implies(implies(X110,X110),X109))
| is_a_theorem(X109) ),
inference(resolution,[],[f7814,f1]) ).
fof(f7814,plain,
! [X4] : is_a_theorem(implies(X4,X4)),
inference(resolution,[],[f2974,f10]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),X3),implies(X2,X3)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/tmp/tmp.TBXnZ7KGyk/Vampire---4.8_10256',cn_19) ).
fof(f2974,plain,
! [X56,X54,X55,X53] : is_a_theorem(implies(implies(implies(X53,X54),implies(implies(X55,X54),X56)),implies(X54,X56))),
inference(resolution,[],[f620,f10]) ).
fof(f620,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))),
inference(resolution,[],[f83,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X2),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
file('/export/starexec/sandbox2/tmp/tmp.TBXnZ7KGyk/Vampire---4.8_10256',cn_59) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(not(implies(X1,X2)),implies(X2,X3)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f51,f1]) ).
fof(f51,plain,
! [X2,X3,X4] : is_a_theorem(implies(not(implies(X2,X3)),implies(X3,X4))),
inference(resolution,[],[f10,f3]) ).
fof(f12841,plain,
is_a_theorem(implies(implies(sF0,sF2),sF2)),
inference(resolution,[],[f847,f7917]) ).
fof(f847,plain,
! [X0] : is_a_theorem(implies(implies(X0,sF2),implies(implies(sF0,X0),sF2))),
inference(resolution,[],[f190,f4]) ).
fof(f190,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(not(sF0),sF2),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f166,f1]) ).
fof(f166,plain,
is_a_theorem(implies(not(sF0),sF2)),
inference(resolution,[],[f82,f16]) ).
fof(f16,plain,
! [X0] : is_a_theorem(implies(implies(sF1,X0),implies(not(sF0),X0))),
inference(superposition,[],[f3,f7]) ).
fof(f82,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(sF1,sF2),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f59,f1]) ).
fof(f59,plain,
is_a_theorem(implies(sF1,sF2)),
inference(superposition,[],[f50,f8]) ).
fof(f50,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f10,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL069-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.00/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n014.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 : Thu Aug 24 18:43:49 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.TBXnZ7KGyk/Vampire---4.8_10256
% 0.15/0.36 % (10396)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (10412)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 % (10403)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 % (10400)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 % (10408)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 % (10410)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 % (10413)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 % (10411)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)
% 0.22/0.58 % (10408)First to succeed.
% 0.22/0.58 % (10411)Also succeeded, but the first one will report.
% 0.22/0.58 % (10408)Refutation found. Thanks to Tanya!
% 0.22/0.58 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.58 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.58 % (10408)------------------------------
% 0.22/0.58 % (10408)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.58 % (10408)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.58 % (10408)Termination reason: Refutation
% 0.22/0.58
% 0.22/0.58 % (10408)Memory used [KB]: 11513
% 0.22/0.58 % (10408)Time elapsed: 0.158 s
% 0.22/0.58 % (10408)------------------------------
% 0.22/0.58 % (10408)------------------------------
% 0.22/0.58 % (10396)Success in time 0.216 s
% 0.22/0.58 % Vampire---4.8 exiting
%------------------------------------------------------------------------------