%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:02:11 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
join(a,a) != a,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f23,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X1,join(X0,X1)),X1)) = meet(X1,join(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f33,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f39,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f49,plain,
! [X0,X1] : join(meet(join(meet(X0,X1),X0),X0),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f39,f9]) ).
fof(f54,plain,
! [X0,X1] : meet(meet(X0,meet(X1,X0)),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f9,f33]) ).
fof(f71,plain,
! [X0,X1,X2] : meet(meet(X0,X0),meet(meet(join(X0,X1),join(X2,X0)),X0)) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(paramodulation,[status(thm)],[f10,f54]) ).
fof(f83,plain,
! [X0,X1,X2] : meet(meet(X0,X0),X0) = meet(meet(join(X0,X1),join(X2,X0)),X0),
inference(forward_demodulation,[status(thm)],[f10,f71]) ).
fof(f87,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(forward_demodulation,[status(thm)],[f10,f83]) ).
fof(f103,plain,
! [X0] : join(X0,meet(X0,join(meet(X0,X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f87,f9]) ).
fof(f109,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f103,f10]) ).
fof(f112,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,join(X0,X1))),X1) = meet(X1,join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f109,f23]) ).
fof(f116,plain,
! [X0] : meet(meet(meet(X0,X0),X0),meet(X0,X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f49,f109]) ).
fof(f118,plain,
! [X0,X1] : meet(meet(meet(X0,join(X1,X0)),X0),meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f9,f109]) ).
fof(f131,plain,
! [X0] : meet(X0,meet(X0,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f87,f116]) ).
fof(f134,plain,
! [X0,X1] : meet(X0,meet(X0,join(X1,X0))) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f109,f118]) ).
fof(f140,plain,
! [X0] : meet(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f131,f54]) ).
fof(f193,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,join(X0,X0))),X0) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f87,f15]) ).
fof(f198,plain,
! [X0] : join(meet(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0)))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(paramodulation,[status(thm)],[f140,f15]) ).
fof(f232,plain,
! [X0] : meet(X0,join(X0,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f112,f193]) ).
fof(f242,plain,
! [X0] : join(meet(meet(X0,X0),meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0)))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f140,f198]) ).
fof(f243,plain,
! [X0] : join(meet(meet(X0,X0),join(meet(X0,X0),meet(X0,X0))),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f134,f242]) ).
fof(f244,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f232,f243]) ).
fof(f245,plain,
! [X0] : join(meet(X0,X0),meet(meet(X0,X0),meet(X0,X0))) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f140,f244]) ).
fof(f246,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = meet(meet(X0,X0),meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f140,f245]) ).
fof(f251,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f140,f246]) ).
fof(f362,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,X0)),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f232,f15]) ).
fof(f364,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f232,f9]) ).
fof(f384,plain,
! [X0] : join(meet(X0,X0),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f140,f362]) ).
fof(f385,plain,
! [X0] : join(X0,meet(X0,meet(X0,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f391,f103]) ).
fof(f391,plain,
! [X0] : join(meet(X0,X0),X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f87,f384]) ).
fof(f427,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f251,f364]) ).
fof(f472,plain,
! [X0] : join(X0,meet(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f131,f385]) ).
fof(f474,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f490,f12]) ).
fof(f490,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f427,f472]) ).
fof(f539,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT090-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:11:24 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.051422 seconds
% 0.12/0.41 % CPU time: 0.117496 seconds
% 0.12/0.41 % Total memory used: 6.850 MB
% 0.12/0.41 % Net memory used: 6.682 MB
%------------------------------------------------------------------------------