%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% 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 8.04s 1.79s
% Output : CNFRefutation 8.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 50 ( 50 unt; 0 def)
% Number of atoms : 50 ( 49 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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; 2 con; 0-2 aty)
% Number of variables : 108 ( 108 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : join(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : meet(X,Y) = meet(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] : meet(meet(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : join(join(meet(X,Y),meet(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : meet2(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : meet2(X,Y) = meet2(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : meet2(meet2(join(X,Y),join(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] : join(join(meet2(X,Y),meet2(Z,Y)),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,plain,
! [X0] : join(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f16,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0] : meet2(X0,X0) = X0,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0,X1] : meet2(X0,X1) = meet2(X1,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] : meet2(meet2(join(X0,X1),join(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] : join(join(meet2(X0,X1),meet2(X2,X1)),X1) = X1,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f22,plain,
meet(a,b) != meet2(a,b),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f26,plain,
! [X0,X1,X2] : meet(X0,meet(join(X1,X0),join(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f14,f16]) ).
fof(f27,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),meet(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f28,plain,
! [X0,X1,X2] : meet2(X0,meet2(join(X1,X0),join(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f19,f20]) ).
fof(f29,plain,
! [X0,X1,X2] : join(X0,join(meet2(X1,X0),meet2(X2,X0))) = X0,
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f38,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f14,f27]) ).
fof(f87,plain,
! [X0,X1,X2] : join(X0,join(meet2(X0,X1),meet2(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f19,f29]) ).
fof(f94,plain,
! [X0,X1,X2,X3] : meet(join(meet2(X0,X1),meet2(X2,X1)),meet(join(X3,join(meet2(X0,X1),meet2(X2,X1))),X1)) = join(meet2(X0,X1),meet2(X2,X1)),
inference(paramodulation,[status(thm)],[f29,f26]) ).
fof(f98,plain,
! [X0,X1,X2,X3] : meet(join(meet2(X0,X1),meet2(X2,X1)),meet(X1,join(X3,join(meet2(X0,X1),meet2(X2,X1))))) = join(meet2(X0,X1),meet2(X2,X1)),
inference(forward_demodulation,[status(thm)],[f14,f94]) ).
fof(f123,plain,
! [X0,X1,X2] : join(X0,join(meet2(X0,X1),meet2(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f19,f87]) ).
fof(f157,plain,
! [X0,X1,X2] : join(X0,join(meet(X0,X1),meet(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f14,f38]) ).
fof(f235,plain,
! [X0,X1] : meet2(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f18,f28]) ).
fof(f243,plain,
! [X0,X1,X2,X3] : meet2(join(meet(X0,X1),meet(X2,X1)),meet2(X1,join(X3,join(meet(X0,X1),meet(X2,X1))))) = join(meet(X0,X1),meet(X2,X1)),
inference(paramodulation,[status(thm)],[f27,f28]) ).
fof(f425,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f13,f157]) ).
fof(f545,plain,
! [X0,X1] : meet2(meet(X0,X1),X0) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f425,f235]) ).
fof(f568,plain,
! [X0,X1] : meet2(X0,meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f545]) ).
fof(f1667,plain,
! [X0,X1] : meet(join(meet2(X0,X1),meet2(X0,X1)),meet(X1,X0)) = join(meet2(X0,X1),meet2(X0,X1)),
inference(paramodulation,[status(thm)],[f123,f98]) ).
fof(f1811,plain,
! [X0,X1] : meet(meet(X0,X1),join(meet2(X1,X0),meet2(X1,X0))) = join(meet2(X1,X0),meet2(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f1667]) ).
fof(f1812,plain,
! [X0,X1] : meet(meet(X0,X1),meet2(X1,X0)) = join(meet2(X1,X0),meet2(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13,f1811]) ).
fof(f1813,plain,
! [X0,X1] : meet(meet(X0,X1),meet2(X1,X0)) = meet2(X1,X0),
inference(forward_demodulation,[status(thm)],[f13,f1812]) ).
fof(f3519,plain,
! [X0,X1] : meet2(meet(X0,X1),meet2(X1,X0)) = meet(meet(X0,X1),meet2(X1,X0)),
inference(paramodulation,[status(thm)],[f1813,f568]) ).
fof(f3589,plain,
! [X0,X1] : meet2(meet(X0,X1),meet2(X1,X0)) = meet2(X1,X0),
inference(forward_demodulation,[status(thm)],[f1813,f3519]) ).
fof(f5081,plain,
! [X0,X1] : meet2(join(meet(X0,X1),meet(X0,X1)),meet2(X1,X0)) = join(meet(X0,X1),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f157,f243]) ).
fof(f5326,plain,
! [X0,X1] : meet2(meet2(X0,X1),join(meet(X1,X0),meet(X1,X0))) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f19,f5081]) ).
fof(f5327,plain,
! [X0,X1] : meet2(meet2(X0,X1),meet(X1,X0)) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f13,f5326]) ).
fof(f5328,plain,
! [X0,X1] : meet2(meet(X0,X1),meet2(X1,X0)) = join(meet(X0,X1),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f5327]) ).
fof(f5329,plain,
! [X0,X1] : meet2(X0,X1) = join(meet(X1,X0),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f3589,f5328]) ).
fof(f5337,plain,
meet(a,b) != meet(b,a),
inference(backward_demodulation,[status(thm)],[f5568,f22]) ).
fof(f5568,plain,
! [X0,X1] : meet2(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f13,f5329]) ).
fof(f6179,plain,
meet(a,b) != meet(a,b),
inference(forward_demodulation,[status(thm)],[f14,f5337]) ).
fof(f6180,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f6179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT028-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.69 % Computer : n017.cluster.edu
% 0.18/0.69 % Model : x86_64 x86_64
% 0.18/0.69 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.69 % Memory : 8046.5625MB
% 0.18/0.69 % OS : Linux 6.8.0-71-generic
% 0.18/0.69 % CPULimit : 300
% 0.18/0.69 % WCLimit : 300
% 0.18/0.69 % DateTime : Sun Sep 20 23:02:42 UTC 2026
% 0.21/0.70 % CPUTime :
% 0.21/0.71 % Drodi V4.1.1
% 8.04/1.79 % Refutation found
% 8.04/1.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.04/1.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.01/1.83 % Elapsed time: 1.122800 seconds
% 9.01/1.83 % CPU time: 8.667441 seconds
% 9.01/1.83 % Total memory used: 104.375 MB
% 9.01/1.83 % Net memory used: 102.075 MB
%------------------------------------------------------------------------------