%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 01:02:11 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : join(meet(A,A),meet(B,join(A,A))) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
meet(a,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,join(X0,X0))) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
meet(a,a) != a,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),meet(meet(X0,X0),X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f33,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f74,plain,
! [X0,X1] : meet(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f33]) ).
fof(f79,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(join(X0,X1),X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f33,f9]) ).
fof(f116,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f79,f33]) ).
fof(f258,plain,
! [X0,X1] : join(meet(meet(X0,X0),meet(X1,join(X0,X0))),X0) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f116,f19]) ).
fof(f268,plain,
! [X0,X1] : meet(meet(join(X0,X1),meet(X0,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f258,f10]) ).
fof(f635,plain,
! [X0,X1] : meet(meet(meet(join(X0,X1),meet(X0,X0)),X0),meet(meet(join(X0,X1),meet(X0,X0)),X0)) = meet(meet(join(X0,X1),meet(X0,X0)),X0),
inference(paramodulation,[status(thm)],[f268,f74]) ).
fof(f672,plain,
! [X0,X1] : meet(X0,meet(meet(join(X0,X1),meet(X0,X0)),X0)) = meet(meet(join(X0,X1),meet(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f268,f635]) ).
fof(f673,plain,
! [X0,X1] : meet(X0,X0) = meet(meet(join(X0,X1),meet(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f268,f672]) ).
fof(f674,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f268,f673]) ).
fof(f749,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f674,f12]) ).
fof(f777,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT088-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n001.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 23:16:13 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.47 % Refutation found
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.48 % Elapsed time: 0.042080 seconds
% 0.17/0.48 % CPU time: 0.144612 seconds
% 0.17/0.48 % Total memory used: 6.663 MB
% 0.17/0.48 % Net memory used: 6.571 MB
%------------------------------------------------------------------------------