TSTP Solution File: LAT012-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LAT012-1 : 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 : n027.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 : Sun May 5 07:25:28 EDT 2024
% Result : Unsatisfiable 2.76s 0.79s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 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 : 5 ( 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 : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18723,plain,
$false,
inference(trivial_inequality_removal,[],[f18722]) ).
fof(f18722,plain,
meet(b,a) != meet(b,a),
inference(superposition,[],[f5,f18043]) ).
fof(f18043,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f10038,f9645]) ).
fof(f9645,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f59,f133]) ).
fof(f133,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(superposition,[],[f51,f79]) ).
fof(f79,plain,
! [X2,X1] : join(X1,meet(X1,X2)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X1,X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie4) ).
fof(f1,axiom,
! [X2,X0,X1] : join(X0,meet(X1,meet(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie1) ).
fof(f51,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f32,f6]) ).
fof(f6,plain,
! [X3,X0] : meet(X0,join(X3,X0)) = X0,
inference(superposition,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,join(X0,X2))) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie2) ).
fof(f32,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(superposition,[],[f3,f1]) ).
fof(f3,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mckenzie3) ).
fof(f59,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(meet(X1,X0),X2)),meet(X1,X0)),
inference(superposition,[],[f4,f7]) ).
fof(f7,plain,
! [X3,X0] : join(X0,meet(X3,X0)) = X0,
inference(superposition,[],[f1,f2]) ).
fof(f10038,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f117,f9645]) ).
fof(f117,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f6,f79]) ).
fof(f5,axiom,
meet(b,a) != meet(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_commutativity_of_meet) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : LAT012-1 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.37 % Computer : n027.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Fri May 3 12:46:51 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % (8832)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (8835)WARNING: value z3 for option sas not known
% 0.20/0.39 % (8835)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)
% 0.20/0.39 % (8836)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 % (8838)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)
% 0.20/0.39 % (8837)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)
% 0.20/0.39 TRYING [3]
% 0.20/0.39 % (8834)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39 % (8839)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)
% 0.20/0.39 % (8833)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39 TRYING [4]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.40 TRYING [5]
% 0.20/0.40 TRYING [3]
% 0.20/0.40 TRYING [6]
% 0.20/0.40 TRYING [4]
% 0.20/0.42 TRYING [7]
% 0.20/0.43 TRYING [5]
% 0.20/0.44 TRYING [8]
% 0.20/0.47 TRYING [6]
% 0.20/0.49 TRYING [9]
% 1.24/0.55 TRYING [10]
% 1.43/0.61 TRYING [7]
% 1.97/0.66 TRYING [11]
% 2.76/0.79 % (8835)First to succeed.
% 2.76/0.79 % (8835)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8832"
% 2.76/0.79 % (8835)Refutation found. Thanks to Tanya!
% 2.76/0.79 % SZS status Unsatisfiable for theBenchmark
% 2.76/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/0.79 % (8835)------------------------------
% 2.76/0.79 % (8835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.76/0.79 % (8835)Termination reason: Refutation
% 2.76/0.79
% 2.76/0.79 % (8835)Memory used [KB]: 7133
% 2.76/0.79 % (8835)Time elapsed: 0.406 s
% 2.76/0.79 % (8835)Instructions burned: 996 (million)
% 2.76/0.79 % (8832)Success in time 0.413 s
%------------------------------------------------------------------------------