%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] : meet(X,join(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(f6,axiom,
! [X,Y] : join(X,Y) = join(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] : join(complement(X),X) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] : join(X,meet(Y,join(X,Z))) = meet(join(X,Y),join(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f20,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f26,plain,
! [X0] : join(complement(X0),X0) = n1,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f29,plain,
! [X0,X1,X2] : join(X0,meet(X1,join(X0,X2))) = meet(join(X0,X1),join(X0,X2)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f30,plain,
join(a,meet(complement(a),join(a,b))) != join(a,b),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f36,plain,
! [X0] : join(X0,complement(X0)) = n1,
inference(forward_demodulation,[status(thm)],[f21,f26]) ).
fof(f38,plain,
meet(join(a,complement(a)),join(a,b)) != join(a,b),
inference(forward_demodulation,[status(thm)],[f29,f30]) ).
fof(f39,plain,
meet(join(a,b),join(a,complement(a))) != join(a,b),
inference(forward_demodulation,[status(thm)],[f20,f38]) ).
fof(f40,plain,
meet(join(a,b),n1) != join(a,b),
inference(forward_demodulation,[status(thm)],[f36,f39]) ).
fof(f41,plain,
meet(n1,join(a,b)) != join(a,b),
inference(forward_demodulation,[status(thm)],[f20,f40]) ).
fof(f47,plain,
! [X0] : meet(X0,n1) = X0,
inference(paramodulation,[status(thm)],[f36,f18]) ).
fof(f59,plain,
! [X0] : X0 = meet(n1,X0),
inference(paramodulation,[status(thm)],[f47,f20]) ).
fof(f69,plain,
join(a,b) != join(a,b),
inference(backward_demodulation,[status(thm)],[f59,f41]) ).
fof(f70,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT045-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n004.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 20 23:08:04 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 % Drodi V4.1.1
% 0.18/0.48 % Refutation found
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.54 % Elapsed time: 0.078110 seconds
% 0.18/0.54 % CPU time: 0.062062 seconds
% 0.18/0.54 % Total memory used: 1.390 MB
% 0.18/0.54 % Net memory used: 1.371 MB
%------------------------------------------------------------------------------