%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT006-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:02:03 PM UTC 2026
% Result : Unsatisfiable 1.43s 0.68s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 3
% Syntax : Number of formulae : 90 ( 90 unt; 0 def)
% Number of atoms : 90 ( 89 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 5 ( 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 : 224 ( 224 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
meet(meet(a,b),c) != meet(a,meet(b,c)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X0)) = join(X0,meet(X2,join(X0,X1))),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f13,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(meet(X2,join(X0,X1)),X0),
inference(paramodulation,[status(thm)],[f4,f5]) ).
fof(f14,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X1,join(X2,X0))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f17,plain,
! [X0,X1] : meet(meet(X0,X1),X1) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f4,f14]) ).
fof(f19,plain,
! [X0,X1,X2,X3] : meet(meet(X0,join(X1,X2)),join(meet(X2,X0),X3)) = join(meet(X3,meet(X0,join(X1,X2))),meet(X2,X0)),
inference(paramodulation,[status(thm)],[f14,f5]) ).
fof(f30,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f5]) ).
fof(f31,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f17,f5]) ).
fof(f33,plain,
! [X0,X1,X2] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f30]) ).
fof(f35,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f31]) ).
fof(f36,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,meet(X1,X0))),
inference(paramodulation,[status(thm)],[f5,f33]) ).
fof(f46,plain,
! [X0,X1,X2] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f35,f36]) ).
fof(f50,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),join(X0,X1))),
inference(paramodulation,[status(thm)],[f4,f12]) ).
fof(f52,plain,
! [X0,X1,X2,X3] : meet(join(meet(X0,X1),X2),meet(X1,join(X0,X3))) = join(meet(X0,X1),meet(meet(X3,X1),join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f62,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(meet(X1,join(X0,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f13,f50]) ).
fof(f74,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f4,f46]) ).
fof(f84,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(meet(X1,X1),X0)),
inference(backward_demodulation,[status(thm)],[f74,f62]) ).
fof(f89,plain,
! [X0] : meet(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f4,f74]) ).
fof(f90,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X0,X1)) = meet(meet(X0,X1),meet(X1,join(X0,X2))),
inference(paramodulation,[status(thm)],[f5,f74]) ).
fof(f91,plain,
! [X0,X1] : meet(X0,X0) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f74,f33]) ).
fof(f102,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(backward_demodulation,[status(thm)],[f89,f84]) ).
fof(f103,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,join(X0,X2))),
inference(forward_demodulation,[status(thm)],[f89,f90]) ).
fof(f104,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f89,f91]) ).
fof(f120,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(paramodulation,[status(thm)],[f89,f5]) ).
fof(f121,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f89,f5]) ).
fof(f126,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(forward_demodulation,[status(thm)],[f4,f120]) ).
fof(f127,plain,
! [X0,X1] : X0 = join(X0,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f104,f121]) ).
fof(f148,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(paramodulation,[status(thm)],[f104,f126]) ).
fof(f149,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f4,f126]) ).
fof(f150,plain,
! [X0] : X0 = join(X0,X0),
inference(paramodulation,[status(thm)],[f89,f126]) ).
fof(f153,plain,
! [X0,X1,X2] : meet(X0,meet(X0,X1)) = meet(X0,join(X1,meet(X2,X1))),
inference(paramodulation,[status(thm)],[f126,f46]) ).
fof(f161,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f127,f153]) ).
fof(f166,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,join(X1,meet(X1,X0))),
inference(paramodulation,[status(thm)],[f150,f33]) ).
fof(f168,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,meet(X0,join(X0,X1))),
inference(paramodulation,[status(thm)],[f150,f12]) ).
fof(f174,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,join(X1,X1)),
inference(forward_demodulation,[status(thm)],[f35,f166]) ).
fof(f175,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f150,f174]) ).
fof(f176,plain,
! [X0,X1] : meet(join(X0,X1),X0) = join(X0,X0),
inference(forward_demodulation,[status(thm)],[f4,f168]) ).
fof(f178,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(forward_demodulation,[status(thm)],[f150,f176]) ).
fof(f182,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f126,f178]) ).
fof(f306,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = meet(meet(X0,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f161,f33]) ).
fof(f325,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f4,f306]) ).
fof(f513,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f102,f149]) ).
fof(f530,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f148,f513]) ).
fof(f614,plain,
! [X0,X1] : meet(meet(X0,X1),meet(X0,X1)) = meet(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f161,f175]) ).
fof(f636,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f89,f614]) ).
fof(f712,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(meet(X0,X1),X2)) = meet(meet(X0,X1),join(X1,X2)),
inference(paramodulation,[status(thm)],[f182,f33]) ).
fof(f714,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(meet(X0,X1),join(X2,X1))) = meet(X1,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f182,f14]) ).
fof(f744,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f4,f712]) ).
fof(f746,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X1)) = meet(X1,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f161,f714]) ).
fof(f749,plain,
! [X0,X1,X2] : meet(meet(X0,X1),join(X2,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f182,f746]) ).
fof(f761,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f175,f636]) ).
fof(f776,plain,
! [X0,X1] : X0 = join(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f636,f127]) ).
fof(f777,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f636,f126]) ).
fof(f782,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,X2),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f636,f5]) ).
fof(f792,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),X1),
inference(forward_demodulation,[status(thm)],[f182,f761]) ).
fof(f1000,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f792,f175]) ).
fof(f1009,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X2,X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f792,f5]) ).
fof(f1025,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f182,f1000]) ).
fof(f1035,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1036,f782]) ).
fof(f1036,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f1009]) ).
fof(f1263,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X0)) = meet(meet(X0,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f175,f325]) ).
fof(f1318,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X1,X0),join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f182,f1263]) ).
fof(f1598,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X0)) = meet(meet(X0,X1),join(meet(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f175,f744]) ).
fof(f1663,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X1,X0),join(meet(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f182,f1598]) ).
fof(f1750,plain,
! [X0,X1,X2,X3] : meet(meet(meet(X0,X1),join(X2,X1)),join(meet(X1,X0),X3)) = join(meet(X3,meet(meet(X0,X1),join(X2,X1))),meet(X1,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f175,f19]) ).
fof(f1935,plain,
! [X0,X1,X2,X3] : meet(meet(X0,X1),join(meet(X1,X0),X2)) = join(meet(X2,meet(meet(X0,X1),join(X3,X1))),meet(X1,meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f749,f1750]) ).
fof(f1936,plain,
! [X0,X1,X2,X3] : meet(X0,X1) = join(meet(X2,meet(meet(X1,X0),join(X3,X0))),meet(X0,meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f1663,f1935]) ).
fof(f1937,plain,
! [X0,X1,X2] : meet(X0,X1) = join(meet(X2,meet(X1,X0)),meet(X0,meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f749,f1936]) ).
fof(f1938,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X1,X0),join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f5,f1937]) ).
fof(f2344,plain,
! [X0,X1,X2] : meet(join(meet(X0,X1),X0),meet(X1,join(X0,X2))) = join(meet(X0,X1),meet(meet(X2,X1),X0)),
inference(paramodulation,[status(thm)],[f777,f52]) ).
fof(f2533,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X0,X2))) = join(meet(X0,X1),meet(meet(X2,X1),X0)),
inference(forward_demodulation,[status(thm)],[f777,f2344]) ).
fof(f2534,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X0,X2))) = meet(X0,join(meet(X2,X1),X1)),
inference(forward_demodulation,[status(thm)],[f1035,f2533]) ).
fof(f2537,plain,
! [X0,X1,X2] : meet(X0,meet(X1,join(X0,X2))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f126,f2534]) ).
fof(f3089,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X1,X0),join(X2,X1)),
inference(paramodulation,[status(thm)],[f530,f1318]) ).
fof(f3249,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),X0),
inference(paramodulation,[status(thm)],[f776,f1938]) ).
fof(f3555,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X1) = meet(meet(X1,X0),meet(X0,join(X1,X2))),
inference(paramodulation,[status(thm)],[f2537,f3249]) ).
fof(f3575,plain,
! [X0,X1,X2] : meet(X0,meet(X0,X1)) = meet(X0,meet(X1,join(X0,X2))),
inference(paramodulation,[status(thm)],[f2537,f161]) ).
fof(f3617,plain,
! [X0,X1,X2] : meet(meet(X0,join(X1,X2)),X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f103,f3555]) ).
fof(f3637,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X1,meet(X0,join(X1,X2))),
inference(forward_demodulation,[status(thm)],[f1025,f3575]) ).
fof(f4145,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(paramodulation,[status(thm)],[f3089,f2537]) ).
fof(f4536,plain,
! [X0,X1,X2] : meet(meet(X0,X1),meet(X2,X1)) = meet(meet(X2,X1),X0),
inference(paramodulation,[status(thm)],[f126,f3617]) ).
fof(f4708,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X1,X2),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f126,f3637]) ).
fof(f4768,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(meet(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f4708,f4536]) ).
fof(f4797,plain,
meet(a,meet(c,b)) != meet(a,meet(b,c)),
inference(backward_demodulation,[status(thm)],[f4768,f6]) ).
fof(f5018,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4797,f4145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT006-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 23:07:22 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 1.43/0.68 % Refutation found
% 1.43/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.43/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.31/1.92 % Elapsed time: 1.340914 seconds
% 8.31/1.92 % CPU time: 2.209179 seconds
% 8.31/1.92 % Total memory used: 56.885 MB
% 8.31/1.92 % Net memory used: 55.577 MB
%------------------------------------------------------------------------------