%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 13.37s 2.15s
% Output : CNFRefutation 13.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 66 ( 39 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 104 ( 53 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 89 ( 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X] : join(X,n0,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : meet(X,n0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] :
( meet(Y,X,Z)
| ~ meet(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] :
( join(Y,X,Z)
| ~ join(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] :
( meet(X,Z,X)
| ~ join(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,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/sandbox/benchmark/theBenchmark.p') ).
fof(f20,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/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : join(X0,n0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f38,plain,
! [X0] : meet(X0,n0,n0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f42,plain,
! [X0,X1,X2] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f43,plain,
! [X0,X1,X2] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f46,plain,
! [X,Z] :
( meet(X,Z,X)
| ! [Y] : ~ join(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f47,plain,
! [X0,X1,X2] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f48,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)],[f15]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5] :
( meet(X2,X3,X5)
| ~ meet(X0,X4,X5)
| ~ meet(X1,X3,X4)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f58,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)],[f20]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4,X5] :
( meet(X1,X3,X5)
| ~ join(X0,X4,X5)
| ~ meet(X2,X1,X4)
| ~ join(X0,X2,X3)
| ~ meet(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
~ meet(a2,b2,r1),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f61,plain,
meet(a,b,c),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f63,plain,
meet(c,r2,n0),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f64,plain,
meet(r2,b,e),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f65,plain,
join(a,b,c2),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f67,plain,
meet(c2,r1,n0),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f68,plain,
meet(r2,a,d),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f69,plain,
join(r1,e,a2),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f70,plain,
join(r1,d,b2),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f77,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[f63,f42]) ).
fof(f85,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[f65,f43]) ).
fof(f96,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[f67,f42]) ).
fof(f102,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[f47,f65]) ).
fof(f109,plain,
meet(r1,b2,r1),
inference(resolution,[status(thm)],[f70,f47]) ).
fof(f110,plain,
join(d,r1,b2),
inference(resolution,[status(thm)],[f70,f43]) ).
fof(f118,plain,
! [X0,X1,X2] :
( meet(d,X0,X2)
| ~ meet(r2,X1,X2)
| ~ meet(a,X0,X1) ),
inference(resolution,[status(thm)],[f49,f68]) ).
fof(f119,plain,
! [X0,X1,X2] :
( meet(e,X0,X2)
| ~ meet(r2,X1,X2)
| ~ meet(b,X0,X1) ),
inference(resolution,[status(thm)],[f49,f64]) ).
fof(f132,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[f85,f47]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( meet(b2,X1,X3)
| ~ join(r1,X2,X3)
| ~ meet(X0,b2,X2)
| ~ join(r1,X0,X1) ),
inference(resolution,[status(thm)],[f59,f109]) ).
fof(f267,plain,
! [X0] :
( meet(d,c2,X0)
| ~ meet(r2,a,X0) ),
inference(resolution,[status(thm)],[f118,f102]) ).
fof(f269,plain,
! [X0] :
( meet(d,b,X0)
| ~ meet(r2,c,X0) ),
inference(resolution,[status(thm)],[f118,f61]) ).
fof(f287,plain,
! [X0] :
( meet(e,c2,X0)
| ~ meet(r2,b,X0) ),
inference(resolution,[status(thm)],[f119,f132]) ).
fof(f803,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[f267,f68]) ).
fof(f810,plain,
! [X0,X1,X2,X3] :
( meet(c2,X1,X3)
| ~ join(d,X2,X3)
| ~ meet(X0,c2,X2)
| ~ join(d,X0,X1) ),
inference(resolution,[status(thm)],[f803,f59]) ).
fof(f850,plain,
meet(d,b,n0),
inference(resolution,[status(thm)],[f269,f77]) ).
fof(f860,plain,
meet(b,d,n0),
inference(resolution,[status(thm)],[f850,f42]) ).
fof(f864,plain,
! [X0] :
( meet(e,d,X0)
| ~ meet(r2,n0,X0) ),
inference(resolution,[status(thm)],[f860,f119]) ).
fof(f932,plain,
meet(e,c2,e),
inference(resolution,[status(thm)],[f287,f64]) ).
fof(f983,plain,
! [X0,X1,X2] :
( meet(e,X0,X2)
| ~ meet(e,X1,X2)
| ~ meet(c2,X0,X1) ),
inference(resolution,[status(thm)],[f932,f49]) ).
fof(f1987,plain,
! [X0,X1] :
( meet(b2,a2,X1)
| ~ join(r1,X0,X1)
| ~ meet(e,b2,X0) ),
inference(resolution,[status(thm)],[f227,f69]) ).
fof(f2130,plain,
meet(e,d,n0),
inference(resolution,[status(thm)],[f864,f38]) ).
fof(f4162,plain,
! [X0,X1] :
( meet(c2,b2,X1)
| ~ join(d,X0,X1)
| ~ meet(r1,c2,X0) ),
inference(resolution,[status(thm)],[f810,f110]) ).
fof(f5615,plain,
! [X0] :
( meet(c2,b2,X0)
| ~ join(d,n0,X0) ),
inference(resolution,[status(thm)],[f4162,f96]) ).
fof(f5645,plain,
meet(c2,b2,d),
inference(resolution,[status(thm)],[f5615,f36]) ).
fof(f5650,plain,
! [X0] :
( meet(e,b2,X0)
| ~ meet(e,d,X0) ),
inference(resolution,[status(thm)],[f5645,f983]) ).
fof(f5765,plain,
meet(e,b2,n0),
inference(resolution,[status(thm)],[f5650,f2130]) ).
fof(f5766,plain,
! [X0] :
( meet(b2,a2,X0)
| ~ join(r1,n0,X0) ),
inference(resolution,[status(thm)],[f5765,f1987]) ).
fof(f5999,plain,
meet(b2,a2,r1),
inference(resolution,[status(thm)],[f5766,f36]) ).
fof(f6017,plain,
meet(a2,b2,r1),
inference(resolution,[status(thm)],[f5999,f42]) ).
fof(f6018,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6017,f60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 23:04:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 13.37/2.15 % Refutation found
% 13.37/2.15 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.37/2.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.37/2.17 % Elapsed time: 1.790480 seconds
% 13.37/2.17 % CPU time: 13.901950 seconds
% 13.37/2.17 % Total memory used: 113.464 MB
% 13.37/2.17 % Net memory used: 97.544 MB
%------------------------------------------------------------------------------