%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT005-6 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 01:02:03 PM UTC 2026
% Result : Unsatisfiable 250.14s 32.00s
% Output : CNFRefutation 56.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 89 ( 52 unt; 0 def)
% Number of atoms : 152 ( 15 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 129 ( 66 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 138 ( 138 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : join(n0,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] :
( meet(Y,X,Z)
| ~ meet(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y,Z] :
( join(Y,X,Z)
| ~ join(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( join(X,Z,X)
| ~ meet(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y,Z] :
( meet(X,Z,X)
| ~ join(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Xy,Z,Yz,Xyz] :
( meet(Xy,Z,Xyz)
| ~ meet(X,Yz,Xyz)
| ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Z,Y,X1,Y1,Z1] :
( meet(Z,X1,Z1)
| ~ join(X,Y1,Z1)
| ~ meet(Y,Z,Y1)
| ~ join(X,Y,X1)
| ~ meet(X,Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] : meet(X,Y,meet_of(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y,Z1,Z2] :
( Z1 = Z2
| ~ meet(X,Y,Z2)
| ~ meet(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : join(X,Y,join_of(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y,Z1,Z2] :
( Z1 = Z2
| ~ join(X,Y,Z2)
| ~ join(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] : join(X,n0,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,plain,
! [X0] : join(n0,X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f44,plain,
! [X0,X1,X2] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ join(X1,X0,X2)
| join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
! [X,Z] :
( join(X,Z,X)
| ! [Y] : ~ meet(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f47,plain,
! [X0,X1,X2] :
( join(X0,X2,X0)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,plain,
! [X,Z] :
( meet(X,Z,X)
| ! [Y] : ~ join(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f49,plain,
! [X0,X1,X2] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [Xy,Z,Xyz] :
( meet(Xy,Z,Xyz)
| ! [X,Yz] :
( ~ meet(X,Yz,Xyz)
| ! [Y] :
( ~ meet(Y,Z,Yz)
| ~ meet(X,Y,Xy) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ meet(X3,X5,X1)
| meet(X4,X5,X2)
| ~ meet(X0,X3,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f60,plain,
! [Z,X1,Z1] :
( meet(Z,X1,Z1)
| ! [X,Y1] :
( ~ join(X,Y1,Z1)
| ! [Y] :
( ~ meet(Y,Z,Y1)
| ~ join(X,Y,X1)
| ~ meet(X,Z,X) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f61,plain,
! [X0,X1,X2,X3,X4,X5] :
( meet(X4,X5,X2)
| ~ meet(X0,X4,X0)
| ~ join(X0,X3,X5)
| ~ meet(X3,X4,X1)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0,X1] : meet(X0,X1,meet_of(X0,X1)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f63,plain,
! [Z1,Z2] :
( Z1 = Z2
| ! [X,Y] :
( ~ meet(X,Y,Z2)
| ~ meet(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( ~ meet(X0,X1,X3)
| X2 = X3
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0,X1] : join(X0,X1,join_of(X0,X1)),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f66,plain,
! [Z1,Z2] :
( Z1 = Z2
| ! [X,Y] :
( ~ join(X,Y,Z2)
| ~ join(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( X3 = X2
| ~ join(X0,X1,X3)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f69,plain,
! [X0] : join(X0,n0,X0),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f76,plain,
meet(a,b,c),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f78,plain,
meet(c,r2,n0),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f79,plain,
meet(r2,b,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f80,plain,
join(a,b,c2),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f82,plain,
meet(c2,r1,n0),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f83,plain,
meet(r2,a,d),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f84,plain,
join(r1,e,a2),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f85,plain,
join(r1,d,b2),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f86,plain,
~ meet(a2,b2,r1),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f119,plain,
! [X0,X1,X2] :
( X2 = meet_of(X0,X1)
| ~ meet(X0,X1,X2) ),
inference(resolution,[status(thm)],[f64,f62]) ).
fof(f127,plain,
! [X0,X1] :
( X1 = X0
| ~ join(n0,X0,X1) ),
inference(resolution,[status(thm)],[f67,f40]) ).
fof(f131,plain,
! [X0,X1] :
( ~ join(X0,n0,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f67,f69]) ).
fof(f144,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[f45,f80]) ).
fof(f149,plain,
join(e,r1,a2),
inference(resolution,[status(thm)],[f45,f84]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4] :
( meet(X2,X3,meet_of(X0,X4))
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
inference(resolution,[status(thm)],[f51,f62]) ).
fof(f182,plain,
meet(b,a,c),
inference(resolution,[status(thm)],[f44,f76]) ).
fof(f183,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[f44,f78]) ).
fof(f188,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[f44,f82]) ).
fof(f191,plain,
! [X0,X1] : meet(X0,X1,meet_of(X1,X0)),
inference(resolution,[status(thm)],[f44,f62]) ).
fof(f223,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[f49,f80]) ).
fof(f228,plain,
meet(r1,a2,r1),
inference(resolution,[status(thm)],[f49,f84]) ).
fof(f254,plain,
! [X0,X1,X2,X3,X4] :
( ~ meet(X2,X0,X2)
| ~ meet(X4,X0,X3)
| ~ join(X2,X4,X1)
| meet(X0,X1,join_of(X2,X3)) ),
inference(resolution,[status(thm)],[f61,f65]) ).
fof(f274,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[f144,f49]) ).
fof(f308,plain,
! [X0] : join_of(X0,n0) = X0,
inference(resolution,[status(thm)],[f131,f65]) ).
fof(f466,plain,
! [X0,X1,X2] :
( ~ meet(X1,X0,X2)
| meet_of(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f191,f64]) ).
fof(f468,plain,
! [X0,X1] : join(X0,meet_of(X1,X0),X0),
inference(resolution,[status(thm)],[f191,f47]) ).
fof(f704,plain,
! [X0] : n0 = meet_of(X0,n0),
inference(resolution,[status(thm)],[f468,f127]) ).
fof(f793,plain,
n0 = meet_of(r2,c),
inference(resolution,[status(thm)],[f119,f183]) ).
fof(f795,plain,
e = meet_of(r2,b),
inference(resolution,[status(thm)],[f119,f79]) ).
fof(f1186,plain,
! [X0,X1] :
( ~ meet(c2,X0,X1)
| meet(a,X0,meet_of(a,X1)) ),
inference(resolution,[status(thm)],[f175,f223]) ).
fof(f1195,plain,
! [X0,X1] :
( meet(d,X0,meet_of(r2,X1))
| ~ meet(a,X0,X1) ),
inference(resolution,[status(thm)],[f175,f83]) ).
fof(f1196,plain,
! [X0,X1] :
( ~ meet(b,X0,X1)
| meet(e,X0,meet_of(r2,X1)) ),
inference(resolution,[status(thm)],[f175,f79]) ).
fof(f2339,plain,
! [X0,X1] :
( meet(X0,a2,join_of(e,X1))
| ~ meet(e,X0,e)
| ~ meet(r1,X0,X1) ),
inference(resolution,[status(thm)],[f254,f149]) ).
fof(f2356,plain,
! [X0,X1] :
( ~ meet(r1,X0,r1)
| meet(X0,b2,join_of(r1,X1))
| ~ meet(d,X0,X1) ),
inference(resolution,[status(thm)],[f254,f85]) ).
fof(f11947,plain,
meet(e,c2,meet_of(r2,b)),
inference(resolution,[status(thm)],[f1196,f274]) ).
fof(f11949,plain,
meet(e,a,meet_of(r2,c)),
inference(resolution,[status(thm)],[f1196,f182]) ).
fof(f11967,plain,
meet(e,a,n0),
inference(forward_demodulation,[status(thm)],[f793,f11949]) ).
fof(f11970,plain,
meet(e,c2,e),
inference(forward_demodulation,[status(thm)],[f795,f11947]) ).
fof(f12756,plain,
meet_of(a,e) = n0,
inference(resolution,[status(thm)],[f11967,f466]) ).
fof(f27317,plain,
( meet(c2,a2,join_of(e,n0))
| ~ meet(e,c2,e) ),
inference(resolution,[status(thm)],[f2339,f188]) ).
fof(f27349,plain,
( meet(c2,a2,e)
| ~ meet(e,c2,e) ),
inference(forward_demodulation,[status(thm)],[f308,f27317]) ).
fof(f27350,plain,
meet(c2,a2,e),
inference(forward_subsumption_resolution,[status(thm)],[f27349,f11970]) ).
fof(f27432,plain,
meet(a,a2,meet_of(a,e)),
inference(resolution,[status(thm)],[f27350,f1186]) ).
fof(f27482,plain,
meet(a,a2,n0),
inference(forward_demodulation,[status(thm)],[f12756,f27432]) ).
fof(f28420,plain,
meet(d,a2,meet_of(r2,n0)),
inference(resolution,[status(thm)],[f27482,f1195]) ).
fof(f28475,plain,
meet(d,a2,n0),
inference(forward_demodulation,[status(thm)],[f704,f28420]) ).
fof(f29285,plain,
( ~ meet(r1,a2,r1)
| meet(a2,b2,join_of(r1,n0)) ),
inference(resolution,[status(thm)],[f28475,f2356]) ).
fof(f29339,plain,
( ~ meet(r1,a2,r1)
| meet(a2,b2,r1) ),
inference(forward_demodulation,[status(thm)],[f308,f29285]) ).
fof(f29340,plain,
~ meet(r1,a2,r1),
inference(forward_subsumption_resolution,[status(thm)],[f29339,f86]) ).
fof(f29441,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f29340,f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-6 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n003.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 23:06:32 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 250.14/32.00 % Refutation found
% 250.14/32.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 250.14/32.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 56.55/32.06 % Elapsed time: 31.687744 seconds
% 56.55/32.06 % CPU time: 251.087465 seconds
% 56.55/32.06 % Total memory used: 501.741 MB
% 56.55/32.06 % Net memory used: 408.287 MB
%------------------------------------------------------------------------------