%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT031-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:02:06 PM UTC 2026
% Result : Unsatisfiable 1.27s 0.58s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : meet(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : meet(meet(X,Y),Z) = meet(X,meet(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] : join(join(X,Y),Z) = join(X,join(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [X,Y,Z] : meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0] : meet(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f17,plain,
! [X0,X1,X2] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] : join(join(X0,X1),X2) = join(X0,join(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(xx,meet(yy,zz)) != meet(join(xx,yy),join(xx,zz)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f41,plain,
join(xx,meet(yy,zz)) != meet(join(xx,yy),join(zz,xx)),
inference(paramodulation,[status(thm)],[f16,f20]) ).
fof(f43,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13]) ).
fof(f48,plain,
! [X0,X1,X2] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f95,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f18,f43]) ).
fof(f140,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = join(meet(X1,X0),meet(X0,X2)),
inference(paramodulation,[status(thm)],[f15,f19]) ).
fof(f145,plain,
! [X0,X1,X2] : meet(X0,join(X1,join(X2,X0))) = join(meet(X0,X1),X0),
inference(paramodulation,[status(thm)],[f43,f19]) ).
fof(f152,plain,
! [X0,X1,X2,X3] : join(meet(X0,join(X1,X2)),X3) = join(meet(X0,X1),join(meet(X0,X2),X3)),
inference(paramodulation,[status(thm)],[f19,f18]) ).
fof(f170,plain,
! [X0,X1] : X0 = join(meet(X0,X1),X0),
inference(forward_demodulation,[status(thm)],[f95,f145]) ).
fof(f176,plain,
join(xx,meet(yy,zz)) != meet(join(zz,xx),join(xx,yy)),
inference(paramodulation,[status(thm)],[f15,f41]) ).
fof(f260,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X1,X0)),
inference(paramodulation,[status(thm)],[f11,f48]) ).
fof(f404,plain,
join(xx,meet(yy,zz)) != meet(join(zz,xx),join(yy,xx)),
inference(paramodulation,[status(thm)],[f16,f176]) ).
fof(f418,plain,
! [X0,X1] : X0 = join(meet(X1,X0),X0),
inference(paramodulation,[status(thm)],[f15,f170]) ).
fof(f918,plain,
! [X0,X1] : meet(join(X0,X1),X1) = meet(X1,X1),
inference(paramodulation,[status(thm)],[f43,f260]) ).
fof(f962,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f11,f918]) ).
fof(f1617,plain,
! [X0,X1,X2] : join(meet(X0,join(X1,X2)),X2) = join(meet(X0,X1),X2),
inference(paramodulation,[status(thm)],[f418,f152]) ).
fof(f1811,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X1)) = join(meet(X2,join(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f962,f140]) ).
fof(f1840,plain,
join(xx,meet(yy,zz)) != join(meet(yy,zz),xx),
inference(backward_demodulation,[status(thm)],[f1848,f404]) ).
fof(f1848,plain,
! [X0,X1,X2] : meet(join(X0,X1),join(X2,X1)) = join(meet(X2,X0),X1),
inference(forward_demodulation,[status(thm)],[f1617,f1811]) ).
fof(f1872,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1840,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT031-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.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 23:09:43 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 1.27/0.58 % Refutation found
% 1.27/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.27/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 23.11/4.53 % Elapsed time: 3.947472 seconds
% 23.11/4.53 % CPU time: 4.111117 seconds
% 23.11/4.53 % Total memory used: 3.145 GB
% 23.11/4.53 % Net memory used: 3.144 GB
%------------------------------------------------------------------------------