%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT032-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 7.33s 1.73s
% Output : CNFRefutation 7.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 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 : 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 : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,meet(X,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(f9,hypothesis,
! [X,Y,Z] : join(X,meet(Y,Z)) = meet(join(X,Y),join(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
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(f19,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
meet(xx,join(yy,zz)) != join(meet(xx,yy),meet(xx,zz)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f34,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f13,f17]) ).
fof(f157,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X2,X0)),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f158,plain,
! [X0,X1,X2] : join(X0,meet(X1,X2)) = meet(join(X1,X0),join(X0,X2)),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f211,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(X0,meet(join(X2,X0),X1)),
inference(paramodulation,[status(thm)],[f16,f34]) ).
fof(f766,plain,
! [X0,X1,X2] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f14,f158]) ).
fof(f783,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,X2))),
inference(paramodulation,[status(thm)],[f158,f34]) ).
fof(f812,plain,
meet(xx,join(yy,zz)) != meet(xx,join(meet(xx,yy),zz)),
inference(backward_demodulation,[status(thm)],[f766,f20]) ).
fof(f856,plain,
meet(xx,join(yy,zz)) != meet(xx,join(zz,meet(xx,yy))),
inference(paramodulation,[status(thm)],[f16,f812]) ).
fof(f858,plain,
meet(xx,join(yy,zz)) != meet(xx,join(zz,yy)),
inference(forward_demodulation,[status(thm)],[f783,f856]) ).
fof(f2566,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,meet(X0,X1))),
inference(paramodulation,[status(thm)],[f157,f211]) ).
fof(f2640,plain,
! [X0,X1,X2] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[status(thm)],[f783,f2566]) ).
fof(f2641,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f858,f2640]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT032-1 : 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 : n017.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 23:02:57 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 7.33/1.73 % Refutation found
% 7.33/1.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.33/1.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.33/1.74 % Elapsed time: 1.148217 seconds
% 7.33/1.74 % CPU time: 1.048417 seconds
% 7.33/1.74 % Total memory used: 15.547 MB
% 7.33/1.74 % Net memory used: 15.161 MB
%------------------------------------------------------------------------------