%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.16s 0.73s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 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 : 4 ( 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 : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
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(f10,hypothesis,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
join(xx,yy) = join(xx,zz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
meet(xx,yy) = meet(xx,zz),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
yy != zz,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f16,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f17,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f21,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f22,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f23,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f24,plain,
join(xx,yy) = join(xx,zz),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
meet(xx,yy) = meet(xx,zz),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f26,plain,
yy != zz,
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f37,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f18,f17]) ).
fof(f40,plain,
join(zz,meet(xx,yy)) = zz,
inference(paramodulation,[status(thm)],[f25,f37]) ).
fof(f52,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f19,f16]) ).
fof(f65,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f20,f37]) ).
fof(f80,plain,
! [X0] : join(join(xx,yy),X0) = join(xx,join(zz,X0)),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f95,plain,
! [X0] : join(xx,join(yy,X0)) = join(xx,join(zz,X0)),
inference(forward_demodulation,[status(thm)],[f21,f80]) ).
fof(f122,plain,
join(xx,join(yy,zz)) = join(xx,zz),
inference(paramodulation,[status(thm)],[f15,f95]) ).
fof(f128,plain,
join(xx,join(yy,zz)) = join(xx,yy),
inference(forward_demodulation,[status(thm)],[f24,f122]) ).
fof(f173,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f21,f52]) ).
fof(f272,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2)),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f280,plain,
! [X0,X1,X2] : join(X0,meet(X1,meet(X2,X0))) = meet(join(X0,X1),X0),
inference(paramodulation,[status(thm)],[f37,f22]) ).
fof(f313,plain,
! [X0,X1] : X0 = meet(join(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f65,f280]) ).
fof(f346,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f52,f23]) ).
fof(f387,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f173,f346]) ).
fof(f674,plain,
! [X0,X1] : X0 = meet(join(X1,X0),X0),
inference(paramodulation,[status(thm)],[f19,f313]) ).
fof(f1237,plain,
join(yy,zz) = meet(join(xx,yy),join(yy,zz)),
inference(paramodulation,[status(thm)],[f128,f674]) ).
fof(f1245,plain,
join(yy,zz) = join(yy,meet(xx,zz)),
inference(forward_demodulation,[status(thm)],[f272,f1237]) ).
fof(f1246,plain,
join(yy,zz) = join(yy,meet(xx,yy)),
inference(forward_demodulation,[status(thm)],[f25,f1245]) ).
fof(f1248,plain,
join(yy,zz) = yy,
inference(forward_demodulation,[status(thm)],[f37,f1246]) ).
fof(f1259,plain,
zz = meet(yy,zz),
inference(paramodulation,[status(thm)],[f1248,f674]) ).
fof(f1457,plain,
yy = join(zz,yy),
inference(paramodulation,[status(thm)],[f1259,f387]) ).
fof(f1481,plain,
! [X0] : join(zz,meet(X0,yy)) = meet(join(zz,X0),yy),
inference(paramodulation,[status(thm)],[f1457,f22]) ).
fof(f1489,plain,
meet(join(zz,xx),yy) = zz,
inference(backward_demodulation,[status(thm)],[f1481,f40]) ).
fof(f2011,plain,
meet(join(xx,zz),yy) = zz,
inference(paramodulation,[status(thm)],[f19,f1489]) ).
fof(f2027,plain,
meet(join(xx,yy),yy) = zz,
inference(forward_demodulation,[status(thm)],[f24,f2011]) ).
fof(f2028,plain,
yy = zz,
inference(forward_demodulation,[status(thm)],[f674,f2027]) ).
fof(f2029,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2028,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT040-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.45 % Computer : n004.cluster.edu
% 0.16/0.45 % Model : x86_64 x86_64
% 0.16/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.45 % Memory : 8046.5625MB
% 0.16/0.45 % OS : Linux 6.8.0-71-generic
% 0.16/0.45 % CPULimit : 300
% 0.16/0.45 % WCLimit : 300
% 0.16/0.45 % DateTime : Sun Sep 20 23:07:49 UTC 2026
% 0.16/0.46 % CPUTime :
% 0.16/0.48 % Drodi V4.1.1
% 0.16/0.73 % Refutation found
% 0.16/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.77 % Elapsed time: 0.285368 seconds
% 0.20/0.77 % CPU time: 1.891136 seconds
% 0.20/0.77 % Total memory used: 26.721 MB
% 0.20/0.77 % Net memory used: 26.076 MB
%------------------------------------------------------------------------------