TSTP Solution File: LAT006-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT006-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Tue Apr 30 13:20:14 EDT 2024
% Result : Unsatisfiable 16.99s 2.85s
% Output : Refutation 16.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 3
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 172 ( 172 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75379,plain,
$false,
inference(subsumption_resolution,[],[f74798,f1579]) ).
fof(f1579,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f1578,f113]) ).
fof(f113,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f89,f63]) ).
fof(f63,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f49,f1]) ).
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
fof(f49,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(X0,X0),
inference(superposition,[],[f30,f1]) ).
fof(f30,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f24,f22]) ).
fof(f22,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f20,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribution) ).
fof(f20,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,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(f24,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,X1))) = meet(X1,meet(X1,join(X2,X0))),
inference(superposition,[],[f21,f2]) ).
fof(f21,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = meet(X1,join(X0,X2)),
inference(forward_demodulation,[],[f19,f2]) ).
fof(f19,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = join(meet(X2,X1),meet(X0,X1)),
inference(superposition,[],[f2,f10]) ).
fof(f89,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f83,f1]) ).
fof(f83,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(superposition,[],[f2,f63]) ).
fof(f1578,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X2,meet(X1,join(X0,X0))),
inference(forward_demodulation,[],[f1577,f156]) ).
fof(f156,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,X0),meet(X2,X1)),
inference(superposition,[],[f2,f132]) ).
fof(f132,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,X1),
inference(forward_demodulation,[],[f124,f113]) ).
fof(f124,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
inference(superposition,[],[f113,f2]) ).
fof(f1577,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X2,join(meet(X1,X0),meet(X0,X1))),
inference(forward_demodulation,[],[f1510,f123]) ).
fof(f123,plain,
! [X2,X1] : meet(X2,X1) = meet(X2,meet(X2,X1)),
inference(forward_demodulation,[],[f118,f91]) ).
fof(f91,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f90,f63]) ).
fof(f90,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,X0),
inference(forward_demodulation,[],[f84,f49]) ).
fof(f84,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
inference(superposition,[],[f2,f63]) ).
fof(f118,plain,
! [X2,X0,X1] : meet(X2,join(X1,meet(X0,X1))) = meet(X2,meet(X2,X1)),
inference(superposition,[],[f30,f89]) ).
fof(f1510,plain,
! [X2,X0,X1] : meet(X2,join(meet(X1,X0),meet(X0,X1))) = meet(X2,meet(X2,meet(X0,X1))),
inference(superposition,[],[f30,f913]) ).
fof(f913,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f91,f119]) ).
fof(f119,plain,
! [X2,X1] : meet(X1,X2) = meet(meet(X1,X2),meet(X2,X1)),
inference(superposition,[],[f6,f89]) ).
fof(f74798,plain,
meet(a,meet(b,c)) != meet(a,meet(c,b)),
inference(superposition,[],[f3,f70683]) ).
fof(f70683,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X2,X1)),
inference(forward_demodulation,[],[f70280,f21269]) ).
fof(f21269,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X1,X2),meet(X0,X1)),
inference(superposition,[],[f19704,f89]) ).
fof(f19704,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(meet(join(X0,X1),X2),X0),
inference(forward_demodulation,[],[f19703,f123]) ).
fof(f19703,plain,
! [X2,X0,X1] : meet(X2,meet(X2,X0)) = meet(meet(join(X0,X1),X2),X0),
inference(forward_demodulation,[],[f19702,f162]) ).
fof(f162,plain,
! [X0,X1] : join(meet(X1,X0),X1) = X1,
inference(superposition,[],[f89,f132]) ).
fof(f19702,plain,
! [X2,X0,X1] : meet(X2,meet(X2,X0)) = meet(meet(join(X0,X1),X2),join(meet(X0,X2),X0)),
inference(forward_demodulation,[],[f19701,f132]) ).
fof(f19701,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),join(meet(X0,X2),X0)) = meet(meet(X2,X0),X2),
inference(forward_demodulation,[],[f19700,f19426]) ).
fof(f19426,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),X3) = meet(meet(X0,X1),meet(join(X1,X2),X3)),
inference(superposition,[],[f19167,f2300]) ).
fof(f2300,plain,
! [X2,X0,X1] : join(X0,X1) = join(meet(X2,X0),join(X0,X1)),
inference(superposition,[],[f2120,f1]) ).
fof(f2120,plain,
! [X2,X0,X1] : join(meet(X2,meet(X0,X1)),X1) = X1,
inference(superposition,[],[f2029,f132]) ).
fof(f2029,plain,
! [X2,X0,X1] : join(meet(meet(X1,X0),X2),X0) = X0,
inference(superposition,[],[f1153,f91]) ).
fof(f1153,plain,
! [X2,X0,X1] : join(X2,X0) = join(meet(X0,X1),join(X2,X0)),
inference(superposition,[],[f89,f285]) ).
fof(f285,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,X1),join(X2,X0)),
inference(forward_demodulation,[],[f275,f91]) ).
fof(f275,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,meet(X0,X1))) = meet(meet(X0,X1),join(X2,X0)),
inference(superposition,[],[f2,f123]) ).
fof(f19167,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(join(X2,X1),X0)),
inference(superposition,[],[f19097,f981]) ).
fof(f981,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(join(X1,X2),X0),
inference(superposition,[],[f242,f132]) ).
fof(f242,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f241,f134]) ).
fof(f134,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f91,f1]) ).
fof(f241,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(join(X0,X1),X0)),
inference(forward_demodulation,[],[f237,f30]) ).
fof(f237,plain,
! [X2,X0,X1] : meet(X2,join(join(X0,X1),X0)) = meet(X2,meet(X2,join(X0,X1))),
inference(superposition,[],[f30,f107]) ).
fof(f107,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f89,f1]) ).
fof(f19097,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f18876,f91]) ).
fof(f18876,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,X0))) = meet(X1,meet(X0,join(X2,X1))),
inference(superposition,[],[f21,f156]) ).
fof(f19700,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),join(meet(X0,X2),X0)) = meet(meet(X2,X0),meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f19561,f1961]) ).
fof(f1961,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X2,meet(X0,X1)),
inference(forward_demodulation,[],[f1960,f113]) ).
fof(f1960,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(meet(X1,join(X0,X0)),X2),
inference(forward_demodulation,[],[f1824,f156]) ).
fof(f1824,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(join(meet(X1,X0),meet(X0,X1)),X2),
inference(superposition,[],[f981,f913]) ).
fof(f19561,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),join(meet(X0,X2),X0)) = meet(meet(join(X0,X1),X2),meet(X0,X2)),
inference(superposition,[],[f129,f19167]) ).
fof(f129,plain,
! [X0,X1] : meet(X1,join(meet(X0,X1),X0)) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f22,f113]) ).
fof(f70280,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X1,X0),meet(X2,X1)),
inference(superposition,[],[f19144,f5061]) ).
fof(f5061,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X1,X0),X2),
inference(forward_demodulation,[],[f5060,f113]) ).
fof(f5060,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X1,join(X0,X0)),X2),
inference(forward_demodulation,[],[f4800,f156]) ).
fof(f4800,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(join(meet(X1,X0),meet(X0,X1)),X2),
inference(superposition,[],[f1838,f913]) ).
fof(f1838,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = meet(join(X2,X1),X0),
inference(superposition,[],[f981,f132]) ).
fof(f19144,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(X2,X0)),
inference(superposition,[],[f19097,f91]) ).
fof(f3,axiom,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_meet) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT006-1 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n010.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 : Mon Apr 29 21:30:50 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.36 % (14254)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (14258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (14257)WARNING: value z3 for option sas not known
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (14257)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)
% 0.22/0.38 % (14259)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)
% 0.22/0.38 TRYING [3]
% 0.22/0.39 % (14256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (14261)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)
% 0.22/0.39 % (14255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (14260)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 TRYING [3]
% 0.22/0.41 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.48 TRYING [6]
% 0.22/0.48 TRYING [5]
% 2.19/0.71 TRYING [7]
% 4.68/1.06 TRYING [6]
% 5.04/1.09 TRYING [8]
% 7.79/1.48 TRYING [1]
% 7.79/1.48 TRYING [2]
% 7.79/1.49 TRYING [3]
% 7.79/1.49 TRYING [4]
% 8.08/1.51 TRYING [5]
% 8.33/1.57 TRYING [6]
% 9.44/1.76 TRYING [7]
% 10.86/1.94 TRYING [9]
% 13.64/2.33 TRYING [8]
% 16.99/2.85 % (14261)First to succeed.
% 16.99/2.85 % (14261)Refutation found. Thanks to Tanya!
% 16.99/2.85 % SZS status Unsatisfiable for theBenchmark
% 16.99/2.85 % SZS output start Proof for theBenchmark
% See solution above
% 16.99/2.85 % (14261)------------------------------
% 16.99/2.85 % (14261)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 16.99/2.85 % (14261)Termination reason: Refutation
% 16.99/2.85
% 16.99/2.85 % (14261)Memory used [KB]: 24423
% 16.99/2.85 % (14261)Time elapsed: 2.457 s
% 16.99/2.85 % (14261)Instructions burned: 5011 (million)
% 16.99/2.85 % (14261)------------------------------
% 16.99/2.85 % (14261)------------------------------
% 16.99/2.85 % (14254)Success in time 2.486 s
%------------------------------------------------------------------------------