%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:02:08 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.67s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 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 : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(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] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f26,plain,
join(a,meet(b,join(a,c))) != meet(join(a,b),join(a,c)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f92,plain,
! [X0,X1,X2] : join(X0,X1) = join(X0,join(meet(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f17,f21]) ).
fof(f147,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f18,f22]) ).
fof(f2045,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f16,f147]) ).
fof(f2073,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = join(X0,meet(X1,join(X0,X2))),
inference(paramodulation,[status(thm)],[f147,f92]) ).
fof(f2137,plain,
join(a,meet(b,join(a,c))) != join(a,meet(join(a,b),c)),
inference(backward_demodulation,[status(thm)],[f2045,f26]) ).
fof(f2207,plain,
join(a,meet(b,c)) != join(a,meet(join(a,b),c)),
inference(forward_demodulation,[status(thm)],[f2073,f2137]) ).
fof(f2423,plain,
join(a,meet(b,c)) != join(a,meet(c,join(a,b))),
inference(paramodulation,[status(thm)],[f18,f2207]) ).
fof(f2427,plain,
join(a,meet(b,c)) != join(a,meet(c,b)),
inference(forward_demodulation,[status(thm)],[f2073,f2423]) ).
fof(f3210,plain,
join(a,meet(c,b)) != join(a,meet(c,b)),
inference(paramodulation,[status(thm)],[f18,f2427]) ).
fof(f3212,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f3210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT042-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n018.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 20 23:10:13 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.41 % Drodi V4.1.1
% 0.13/0.67 % Refutation found
% 0.13/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.24/0.69 % Elapsed time: 0.276404 seconds
% 0.24/0.69 % CPU time: 1.830637 seconds
% 0.24/0.69 % Total memory used: 27.345 MB
% 0.24/0.69 % Net memory used: 26.527 MB
%------------------------------------------------------------------------------