%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 01:02:05 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.52s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
join(a,meet(b,c)) != meet(join(a,b),join(a,c)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f27,plain,
! [X0,X1,X2] : meet(X0,join(join(X1,X2),X1)) = meet(X0,join(X1,X2)),
inference(backward_demodulation,[status(thm)],[f19,f17]) ).
fof(f28,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X1))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f16,f27]) ).
fof(f43,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f13,f15]) ).
fof(f49,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f107,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(paramodulation,[status(thm)],[f12,f16]) ).
fof(f115,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f13,f18]) ).
fof(f125,plain,
! [X0,X1,X2] : meet(join(X0,meet(X1,X2)),join(X0,X2)) = join(X0,meet(X2,X1)),
inference(paramodulation,[status(thm)],[f13,f18]) ).
fof(f149,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f14,f19]) ).
fof(f162,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f49,f19]) ).
fof(f172,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f19,f149]) ).
fof(f186,plain,
! [X0,X1,X2] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,X2)),
inference(forward_demodulation,[status(thm)],[f19,f162]) ).
fof(f198,plain,
! [X0,X1,X2] : join(X0,meet(join(X1,X0),X2)) = meet(join(X0,meet(join(X1,X0),X2)),join(X0,X1)),
inference(paramodulation,[status(thm)],[f18,f28]) ).
fof(f200,plain,
! [X0,X1,X2] : meet(join(X0,join(X1,X0)),X2) = meet(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f13,f28]) ).
fof(f202,plain,
! [X0,X1] : join(X0,join(X1,X0)) = meet(join(X0,join(X1,X0)),join(X0,X1)),
inference(paramodulation,[status(thm)],[f11,f28]) ).
fof(f221,plain,
! [X0,X1] : join(X0,join(X1,X0)) = meet(join(X0,X1),join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f200,f202]) ).
fof(f225,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f11,f221]) ).
fof(f867,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(join(X1,X0),X2))) = join(X0,meet(join(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f225,f115]) ).
fof(f868,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,meet(join(X0,X1),X2))) = join(X0,meet(join(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f107,f115]) ).
fof(f910,plain,
join(a,meet(b,c)) != join(a,meet(join(a,b),c)),
inference(backward_demodulation,[status(thm)],[f928,f20]) ).
fof(f911,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,meet(X1,X2)),X1)) = join(X0,meet(X1,X2)),
inference(backward_demodulation,[status(thm)],[f928,f18]) ).
fof(f914,plain,
! [X0,X1,X2] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(join(X0,meet(join(X1,X0),X2)),X1)),
inference(backward_demodulation,[status(thm)],[f928,f198]) ).
fof(f919,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,meet(X1,X2)),X2)) = join(X0,meet(X2,X1)),
inference(backward_demodulation,[status(thm)],[f928,f125]) ).
fof(f926,plain,
! [X0,X1,X2] : join(X0,meet(join(X0,X1),meet(join(X1,X0),X2))) = join(X0,meet(join(X1,X0),X2)),
inference(backward_demodulation,[status(thm)],[f928,f867]) ).
fof(f928,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f186,f868]) ).
fof(f981,plain,
join(a,meet(b,c)) != join(a,meet(c,join(a,b))),
inference(paramodulation,[status(thm)],[f13,f910]) ).
fof(f992,plain,
! [X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f172]) ).
fof(f1179,plain,
! [X0,X1,X2] : join(X0,meet(X1,join(X0,meet(X1,X2)))) = join(X0,meet(X1,X2)),
inference(paramodulation,[status(thm)],[f13,f911]) ).
fof(f1225,plain,
join(a,meet(b,c)) != join(a,meet(c,b)),
inference(backward_demodulation,[status(thm)],[f1226,f981]) ).
fof(f1226,plain,
! [X0,X1,X2] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X1,X2)),
inference(forward_demodulation,[status(thm)],[f186,f1179]) ).
fof(f1617,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(join(X1,X2),meet(join(X2,X1),X0)),
inference(paramodulation,[status(thm)],[f992,f43]) ).
fof(f1708,plain,
! [X0,X1,X2] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(join(X2,X0),X1)),
inference(backward_demodulation,[status(thm)],[f1617,f926]) ).
fof(f1727,plain,
! [X0,X1,X2] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(join(X0,meet(X2,X1)),X1)),
inference(backward_demodulation,[status(thm)],[f1728,f914]) ).
fof(f1728,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(join(X2,X0),X1)),
inference(forward_demodulation,[status(thm)],[f1226,f1708]) ).
fof(f1739,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(join(X0,meet(X1,X2)),X2)),
inference(forward_demodulation,[status(thm)],[f1728,f1727]) ).
fof(f1741,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X2,X1)),
inference(forward_demodulation,[status(thm)],[f919,f1739]) ).
fof(f1742,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1225,f1741]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT019-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n003.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:08:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.52 % Refutation found
% 0.09/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 53.80/9.64 % Elapsed time: 9.066927 seconds
% 53.80/9.64 % CPU time: 8.966745 seconds
% 53.80/9.64 % Total memory used: 6.810 GB
% 53.80/9.64 % Net memory used: 6.810 GB
%------------------------------------------------------------------------------