%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 01:02:07 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.42s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [X,Y,Z] : join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : join(X,n0) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : meet(X,n1) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
join(xx,yy) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
join(xx,zz) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
meet(xx,yy) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
meet(xx,zz) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f32,plain,
! [X0] : join(X0,n0) = X0,
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0] : meet(X0,n1) = X0,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f37,plain,
join(xx,yy) = n1,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f38,plain,
join(xx,zz) = n1,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f39,plain,
meet(xx,yy) = n0,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f40,plain,
meet(xx,zz) = n0,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f41,plain,
yy != zz,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f42,plain,
join(yy,xx) = n1,
inference(forward_demodulation,[status(thm)],[f26,f37]) ).
fof(f43,plain,
join(zz,xx) = n1,
inference(forward_demodulation,[status(thm)],[f26,f38]) ).
fof(f44,plain,
meet(yy,xx) = n0,
inference(forward_demodulation,[status(thm)],[f25,f39]) ).
fof(f45,plain,
meet(zz,xx) = n0,
inference(forward_demodulation,[status(thm)],[f25,f40]) ).
fof(f473,plain,
! [X0] : join(zz,meet(X0,xx)) = meet(join(zz,X0),n1),
inference(paramodulation,[status(thm)],[f43,f29]) ).
fof(f474,plain,
! [X0] : join(yy,meet(X0,xx)) = meet(join(yy,X0),n1),
inference(paramodulation,[status(thm)],[f42,f29]) ).
fof(f522,plain,
! [X0] : join(zz,meet(X0,xx)) = join(zz,X0),
inference(forward_demodulation,[status(thm)],[f33,f473]) ).
fof(f523,plain,
! [X0] : join(yy,meet(X0,xx)) = join(yy,X0),
inference(forward_demodulation,[status(thm)],[f33,f474]) ).
fof(f927,plain,
join(zz,n0) = join(zz,yy),
inference(paramodulation,[status(thm)],[f44,f522]) ).
fof(f942,plain,
zz = join(zz,yy),
inference(forward_demodulation,[status(thm)],[f32,f927]) ).
fof(f1004,plain,
join(yy,n0) = join(yy,zz),
inference(paramodulation,[status(thm)],[f45,f523]) ).
fof(f1019,plain,
yy = join(yy,zz),
inference(forward_demodulation,[status(thm)],[f32,f1004]) ).
fof(f1020,plain,
yy = join(zz,yy),
inference(forward_demodulation,[status(thm)],[f26,f1019]) ).
fof(f1021,plain,
yy = zz,
inference(forward_demodulation,[status(thm)],[f942,f1020]) ).
fof(f1022,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1021,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT037-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.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 23:05:50 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.42 % Refutation found
% 0.12/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.078403 seconds
% 0.12/0.44 % CPU time: 0.367589 seconds
% 0.12/0.44 % Total memory used: 71.448 MB
% 0.12/0.44 % Net memory used: 71.073 MB
%------------------------------------------------------------------------------