TSTP Solution File: LAT008-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT008-1 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Mon May 20 23:36:58 EDT 2024
% Result : Unsatisfiable 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f321,plain,
$false,
inference(trivial_inequality_removal,[],[f307]) ).
fof(f307,plain,
a != a,
inference(superposition,[],[f3,f217]) ).
fof(f217,plain,
! [X0,X1] : join(X1,meet(X1,X0)) = X1,
inference(superposition,[],[f93,f152]) ).
fof(f152,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,X1),
inference(forward_demodulation,[],[f141,f124]) ).
fof(f124,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f91,f69]) ).
fof(f69,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f55,f1]) ).
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
fof(f55,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(X0,X0),
inference(superposition,[],[f50,f1]) ).
fof(f50,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f39,f20]) ).
fof(f20,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = meet(X1,join(X0,X2)),
inference(forward_demodulation,[],[f18,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribution) ).
fof(f18,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = join(meet(X2,X1),meet(X0,X1)),
inference(superposition,[],[f2,f10]) ).
fof(f10,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,join(X2,X0))),
inference(superposition,[],[f1,f2]) ).
fof(f39,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = meet(X1,meet(X1,join(X2,X0))),
inference(superposition,[],[f21,f2]) ).
fof(f21,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f19,f2]) ).
fof(f19,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,meet(X0,X1))),
inference(superposition,[],[f2,f10]) ).
fof(f91,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f84,f1]) ).
fof(f84,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(superposition,[],[f2,f69]) ).
fof(f141,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
inference(superposition,[],[f124,f2]) ).
fof(f93,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f92,f69]) ).
fof(f92,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,X0),
inference(forward_demodulation,[],[f85,f55]) ).
fof(f85,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
inference(superposition,[],[f2,f69]) ).
fof(f3,axiom,
a != join(a,meet(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorbtion_dual) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT008-1 : TPTP v8.2.0. Released v2.2.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun May 19 20:55:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (12652)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (12655)WARNING: value z3 for option sas not known
% 0.12/0.35 % (12655)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 theBenchmark for (569ds/0Mi)
% 0.12/0.35 % (12659)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 theBenchmark for (497ds/0Mi)
% 0.12/0.35 % (12656)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.35 % (12658)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 theBenchmark for (522ds/0Mi)
% 0.12/0.35 TRYING [1]
% 0.12/0.35 TRYING [2]
% 0.12/0.35 % (12657)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 theBenchmark for (531ds/0Mi)
% 0.12/0.35 TRYING [3]
% 0.12/0.35 % (12655)First to succeed.
% 0.12/0.35 % (12655)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12652"
% 0.12/0.35 % (12653)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (12655)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.35 % (12655)------------------------------
% 0.12/0.35 % (12655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.35 % (12655)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (12655)Memory used [KB]: 860
% 0.12/0.35 % (12655)Time elapsed: 0.008 s
% 0.12/0.35 % (12655)Instructions burned: 19 (million)
% 0.12/0.35 % (12652)Success in time 0.016 s
%------------------------------------------------------------------------------