TSTP Solution File: LAT091-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 13:20:42 EDT 2024
% Result : Unsatisfiable 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 62 unt; 0 def)
% Number of atoms : 62 ( 61 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3721,plain,
$false,
inference(trivial_inequality_removal,[],[f3720]) ).
fof(f3720,plain,
join(b,a) != join(b,a),
inference(superposition,[],[f6,f3488]) ).
fof(f3488,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f3261,f3258]) ).
fof(f3258,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f142,f2253]) ).
fof(f2253,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(forward_demodulation,[],[f2208,f1079]) ).
fof(f1079,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f142,f1026]) ).
fof(f1026,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f973,f619]) ).
fof(f619,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f202,f601]) ).
fof(f601,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f599,f142]) ).
fof(f599,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),X0)),
inference(backward_demodulation,[],[f289,f596]) ).
fof(f596,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f593,f27]) ).
fof(f27,plain,
! [X3,X0] : join(join(meet(X0,X3),X0),X0) = X0,
inference(superposition,[],[f5,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_4) ).
fof(f5,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_5) ).
fof(f593,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(backward_demodulation,[],[f509,f566]) ).
fof(f566,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f112,f202]) ).
fof(f112,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(backward_demodulation,[],[f76,f94]) ).
fof(f94,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f82,f4]) ).
fof(f82,plain,
! [X2,X0,X1] : meet(meet(meet(join(X0,X1),join(X2,X0)),X0),X0) = X0,
inference(superposition,[],[f37,f4]) ).
fof(f37,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f28,f1]) ).
fof(f1,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_1) ).
fof(f28,plain,
! [X3,X0] : meet(meet(join(X0,X3),X0),X0) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f76,plain,
! [X0,X1] : meet(X0,X0) = meet(meet(meet(X0,X0),join(X1,meet(X0,X0))),meet(X0,X0)),
inference(superposition,[],[f13,f59]) ).
fof(f59,plain,
! [X0] : meet(X0,X0) = meet(meet(X0,X0),meet(X0,X0)),
inference(superposition,[],[f13,f35]) ).
fof(f35,plain,
! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(X0,X0)) = X0,
inference(superposition,[],[f3,f27]) ).
fof(f3,axiom,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_3) ).
fof(f13,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X0,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f4,f1]) ).
fof(f509,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),meet(join(meet(X0,join(X1,X0)),X0),X0)),
inference(forward_demodulation,[],[f491,f202]) ).
fof(f491,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(meet(X0,join(meet(X0,join(X1,X0)),X0)),meet(join(meet(X0,join(X1,X0)),X0),X0)),
inference(superposition,[],[f3,f315]) ).
fof(f315,plain,
! [X0,X1] : join(X0,join(meet(X0,join(X1,X0)),X0)) = X0,
inference(forward_demodulation,[],[f290,f202]) ).
fof(f290,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(superposition,[],[f3,f112]) ).
fof(f289,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(meet(X0,join(X1,X0)),join(meet(X0,join(X1,X0)),X0))),
inference(superposition,[],[f1,f112]) ).
fof(f202,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[],[f154,f27]) ).
fof(f154,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f151,f142]) ).
fof(f151,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(join(X0,X1),X0)),
inference(backward_demodulation,[],[f43,f142]) ).
fof(f43,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(join(X0,meet(join(X0,X1),X0)),meet(join(X0,X1),X0)),
inference(superposition,[],[f27,f28]) ).
fof(f973,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f739,f137]) ).
fof(f137,plain,
! [X0] : join(X0,X0) = X0,
inference(backward_demodulation,[],[f114,f135]) ).
fof(f135,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f4,f94]) ).
fof(f114,plain,
! [X0] : join(meet(join(X0,X0),X0),X0) = X0,
inference(backward_demodulation,[],[f78,f94]) ).
fof(f78,plain,
! [X0] : meet(X0,X0) = join(meet(join(meet(X0,X0),meet(X0,X0)),meet(X0,X0)),meet(X0,X0)),
inference(superposition,[],[f35,f59]) ).
fof(f739,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f1,f607]) ).
fof(f607,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f562,f601]) ).
fof(f562,plain,
! [X0,X1] : join(X0,join(X0,X1)) = meet(join(X0,X1),join(X0,join(X0,X1))),
inference(superposition,[],[f202,f154]) ).
fof(f2208,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,X1)) = join(join(X1,X0),meet(join(X1,X0),join(X0,X1))),
inference(superposition,[],[f26,f1377]) ).
fof(f1377,plain,
! [X2,X0,X1] : meet(X0,meet(join(X2,X0),join(X0,X1))) = X0,
inference(superposition,[],[f1061,f1042]) ).
fof(f1042,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f142,f973]) ).
fof(f1061,plain,
! [X2,X0,X1] : meet(X1,meet(join(X0,X1),join(X2,X1))) = X1,
inference(superposition,[],[f1026,f688]) ).
fof(f688,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f14,f601]) ).
fof(f14,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(meet(X1,join(X2,meet(X0,X1))),meet(X0,X1)),
inference(superposition,[],[f4,f3]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X2,X0)) = join(join(X0,meet(X3,meet(join(X0,X1),join(X2,X0)))),meet(join(X0,X1),join(X2,X0))),
inference(superposition,[],[f5,f4]) ).
fof(f142,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(backward_demodulation,[],[f98,f137]) ).
fof(f98,plain,
! [X0,X1] : join(X0,meet(X1,join(X0,X0))) = X0,
inference(backward_demodulation,[],[f2,f94]) ).
fof(f2,axiom,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wal_absorbtion_2) ).
fof(f3261,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f212,f2253]) ).
fof(f212,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(backward_demodulation,[],[f146,f200]) ).
fof(f200,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f154,f3]) ).
fof(f146,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(backward_demodulation,[],[f118,f137]) ).
fof(f118,plain,
! [X0,X1] : join(meet(X0,meet(X1,join(X0,X0))),X0) = X0,
inference(forward_demodulation,[],[f99,f94]) ).
fof(f99,plain,
! [X0,X1] : join(meet(X0,meet(X1,join(X0,X0))),meet(X0,X0)) = X0,
inference(backward_demodulation,[],[f8,f94]) ).
fof(f8,plain,
! [X0,X1] : meet(X0,X0) = join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)),
inference(superposition,[],[f1,f2]) ).
fof(f6,axiom,
join(b,a) != join(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT091-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n028.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 : Mon Apr 29 21:58:14 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (7647)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (7650)WARNING: value z3 for option sas not known
% 0.15/0.37 % (7650)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)
% 0.15/0.37 % (7648)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (7651)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (7649)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (7652)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)
% 0.15/0.37 % (7653)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)
% 0.15/0.38 % (7654)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [5]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [6]
% 0.22/0.47 TRYING [5]
% 0.22/0.48 TRYING [7]
% 0.22/0.48 % (7653)First to succeed.
% 0.22/0.49 % (7653)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (7653)------------------------------
% 0.22/0.49 % (7653)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.49 % (7653)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (7653)Memory used [KB]: 1943
% 0.22/0.49 % (7653)Time elapsed: 0.112 s
% 0.22/0.49 % (7653)Instructions burned: 199 (million)
% 0.22/0.49 % (7653)------------------------------
% 0.22/0.49 % (7653)------------------------------
% 0.22/0.49 % (7647)Success in time 0.128 s
%------------------------------------------------------------------------------