TSTP Solution File: LAT089-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT089-1 : 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 : n011.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 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 6
% Syntax : Number of formulae : 57 ( 57 unt; 0 def)
% Number of atoms : 57 ( 56 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 : 7 ( 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 : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8661,plain,
$false,
inference(trivial_inequality_removal,[],[f8660]) ).
fof(f8660,plain,
meet(b,a) != meet(b,a),
inference(superposition,[],[f6,f8278]) ).
fof(f8278,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f8146,f7913]) ).
fof(f7913,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f14,f4444]) ).
fof(f4444,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f127,f4273]) ).
fof(f4273,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f4176,f1682]) ).
fof(f1682,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f1455,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(f1455,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f127,f1396]) ).
fof(f1396,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(forward_demodulation,[],[f1395,f107]) ).
fof(f107,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f106,f65]) ).
fof(f65,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f56,f4]) ).
fof(f56,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(f106,plain,
! [X0] : join(X0,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f98,f76]) ).
fof(f76,plain,
! [X0] : join(join(X0,X0),X0) = X0,
inference(superposition,[],[f27,f65]) ).
fof(f98,plain,
! [X0] : join(X0,meet(X0,join(join(X0,X0),X0))) = X0,
inference(superposition,[],[f3,f80]) ).
fof(f80,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f4,f65]) ).
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(f1395,plain,
! [X0,X1] : join(X0,X0) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1370,f84]) ).
fof(f84,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f4,f70]) ).
fof(f70,plain,
! [X0] : join(X0,join(X0,X0)) = X0,
inference(superposition,[],[f21,f65]) ).
fof(f21,plain,
! [X0] : join(meet(X0,X0),join(X0,X0)) = X0,
inference(superposition,[],[f2,f4]) ).
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(f1370,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(meet(meet(X0,join(X1,X0)),X0),meet(meet(X0,join(X1,X0)),X0)),
inference(superposition,[],[f1,f1324]) ).
fof(f1324,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1323,f27]) ).
fof(f1323,plain,
! [X0,X1] : join(meet(X0,join(X1,X0)),X0) = join(join(meet(X0,join(X1,X0)),X0),X0),
inference(forward_demodulation,[],[f1322,f571]) ).
fof(f571,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[],[f543,f27]) ).
fof(f543,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f531,f378]) ).
fof(f378,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(superposition,[],[f140,f359]) ).
fof(f359,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f358,f127]) ).
fof(f358,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = join(meet(X1,X0),meet(X0,meet(X1,X0))),
inference(forward_demodulation,[],[f343,f127]) ).
fof(f343,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = join(join(meet(X1,X0),meet(X0,meet(X1,X0))),meet(X0,meet(X1,X0))),
inference(superposition,[],[f27,f38]) ).
fof(f38,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f28,f3]) ).
fof(f140,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f138,f65]) ).
fof(f138,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X0)) = X0,
inference(superposition,[],[f1,f127]) ).
fof(f531,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(meet(join(X0,X1),X0),X0),
inference(superposition,[],[f394,f28]) ).
fof(f394,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),X0)),
inference(forward_demodulation,[],[f380,f127]) ).
fof(f380,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(meet(X1,X0),join(X0,meet(X1,X0)))),
inference(superposition,[],[f3,f359]) ).
fof(f1322,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0),
inference(forward_demodulation,[],[f1321,f211]) ).
fof(f211,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(X1,meet(X1,join(X0,X1))),
inference(forward_demodulation,[],[f187,f84]) ).
fof(f187,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(meet(meet(X1,join(X0,X1)),X1),meet(X1,join(X0,X1))),
inference(superposition,[],[f84,f3]) ).
fof(f1321,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),X0),
inference(forward_demodulation,[],[f1244,f84]) ).
fof(f1244,plain,
! [X0,X1] : meet(X0,join(meet(X0,join(X1,X0)),X0)) = join(meet(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))),meet(meet(X0,join(meet(X0,join(X1,X0)),X0)),X0)),
inference(superposition,[],[f3,f201]) ).
fof(f201,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(X0,join(X1,X0)),X0))) = X0,
inference(superposition,[],[f3,f84]) ).
fof(f4176,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f1947,f107]) ).
fof(f1947,plain,
! [X0,X1] : join(meet(X0,join(X0,X1)),meet(X0,join(X0,X1))) = X0,
inference(superposition,[],[f1,f1730]) ).
fof(f1730,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f1682,f543]) ).
fof(f127,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f121,f65]) ).
fof(f121,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(superposition,[],[f2,f107]) ).
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(f8146,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f4273,f7913]) ).
fof(f6,axiom,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : LAT089-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.36 % Computer : n011.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Apr 29 21:45:16 EDT 2024
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % (9481)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.38 % (9484)WARNING: value z3 for option sas not known
% 0.12/0.38 % (9486)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)
% 0.12/0.38 % (9488)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)
% 0.12/0.38 % (9485)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.39 TRYING [3]
% 0.12/0.39 % (9483)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.39 TRYING [4]
% 0.12/0.39 % (9482)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.39 TRYING [1]
% 0.12/0.39 TRYING [2]
% 0.12/0.40 % (9487)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)
% 0.12/0.40 % (9484)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)
% 0.12/0.40 TRYING [5]
% 0.12/0.40 TRYING [3]
% 0.12/0.41 TRYING [4]
% 0.17/0.43 TRYING [6]
% 0.17/0.46 TRYING [5]
% 0.17/0.49 TRYING [7]
% 0.17/0.53 % (9488)First to succeed.
% 0.17/0.53 % (9488)Refutation found. Thanks to Tanya!
% 0.17/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53 % (9488)------------------------------
% 0.17/0.53 % (9488)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.53 % (9488)Termination reason: Refutation
% 0.17/0.53
% 0.17/0.53 % (9488)Memory used [KB]: 2636
% 0.17/0.53 % (9488)Time elapsed: 0.150 s
% 0.17/0.53 % (9488)Instructions burned: 312 (million)
% 0.17/0.53 % (9488)------------------------------
% 0.17/0.53 % (9488)------------------------------
% 0.17/0.53 % (9481)Success in time 0.164 s
%------------------------------------------------------------------------------