%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:02:02 PM UTC 2026
% Result : Unsatisfiable 20.69s 3.04s
% Output : CNFRefutation 20.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 41 unt; 0 def)
% Number of atoms : 119 ( 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 : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : join(n0,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : meet(n0,X,n0),
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(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(f19,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0] : join(n0,X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
! [X0] : meet(n0,X0,n0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f36,plain,
! [X0,X1,X2] :
( meet(X1,X0,X2)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f37,plain,
! [X0,X1,X2] :
( join(X1,X0,X2)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f40,plain,
! [X,Z] :
( meet(X,Z,X)
| ! [Y] : ~ join(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f41,plain,
! [X0,X1,X2] :
( meet(X0,X2,X0)
| ~ join(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,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(f43,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)],[f42]) ).
fof(f52,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(f53,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)],[f52]) ).
fof(f58,plain,
meet(a,b,c),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f60,plain,
meet(c,r2,n0),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f61,plain,
meet(r2,b,e),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f62,plain,
join(a,b,c2),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f64,plain,
meet(c2,r1,n0),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f65,plain,
meet(r2,a,d),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f66,plain,
join(r1,e,a2),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f67,plain,
join(r1,d,b2),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f68,plain,
~ meet(a2,b2,r1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f70,plain,
! [X0] : meet(X0,n0,n0),
inference(resolution,[status(thm)],[f36,f33]) ).
fof(f77,plain,
! [X0] : join(X0,n0,X0),
inference(resolution,[status(thm)],[f37,f32]) ).
fof(f81,plain,
meet(r2,c,n0),
inference(resolution,[status(thm)],[f60,f36]) ).
fof(f91,plain,
join(b,a,c2),
inference(resolution,[status(thm)],[f62,f37]) ).
fof(f94,plain,
meet(a,c2,a),
inference(resolution,[status(thm)],[f41,f62]) ).
fof(f102,plain,
meet(r1,c2,n0),
inference(resolution,[status(thm)],[f64,f36]) ).
fof(f108,plain,
! [X0,X1,X2] :
( meet(d,X0,X2)
| ~ meet(r2,X1,X2)
| ~ meet(a,X0,X1) ),
inference(resolution,[status(thm)],[f43,f65]) ).
fof(f109,plain,
! [X0,X1,X2] :
( meet(e,X0,X2)
| ~ meet(r2,X1,X2)
| ~ meet(b,X0,X1) ),
inference(resolution,[status(thm)],[f43,f61]) ).
fof(f117,plain,
meet(r1,b2,r1),
inference(resolution,[status(thm)],[f67,f41]) ).
fof(f118,plain,
join(d,r1,b2),
inference(resolution,[status(thm)],[f67,f37]) ).
fof(f161,plain,
meet(b,c2,b),
inference(resolution,[status(thm)],[f91,f41]) ).
fof(f219,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)],[f117,f53]) ).
fof(f288,plain,
! [X0] :
( meet(d,c2,X0)
| ~ meet(r2,a,X0) ),
inference(resolution,[status(thm)],[f108,f94]) ).
fof(f289,plain,
! [X0] :
( meet(d,b,X0)
| ~ meet(r2,c,X0) ),
inference(resolution,[status(thm)],[f108,f58]) ).
fof(f311,plain,
! [X0] :
( meet(e,c2,X0)
| ~ meet(r2,b,X0) ),
inference(resolution,[status(thm)],[f109,f161]) ).
fof(f829,plain,
meet(d,c2,d),
inference(resolution,[status(thm)],[f288,f65]) ).
fof(f836,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)],[f829,f53]) ).
fof(f870,plain,
meet(d,b,n0),
inference(resolution,[status(thm)],[f289,f81]) ).
fof(f886,plain,
meet(b,d,n0),
inference(resolution,[status(thm)],[f870,f36]) ).
fof(f890,plain,
! [X0] :
( meet(e,d,X0)
| ~ meet(r2,n0,X0) ),
inference(resolution,[status(thm)],[f886,f109]) ).
fof(f1047,plain,
meet(e,c2,e),
inference(resolution,[status(thm)],[f311,f61]) ).
fof(f1065,plain,
! [X0,X1,X2] :
( meet(e,X0,X2)
| ~ meet(e,X1,X2)
| ~ meet(c2,X0,X1) ),
inference(resolution,[status(thm)],[f1047,f43]) ).
fof(f2210,plain,
! [X0,X1] :
( meet(b2,a2,X1)
| ~ join(r1,X0,X1)
| ~ meet(e,b2,X0) ),
inference(resolution,[status(thm)],[f219,f66]) ).
fof(f2389,plain,
meet(e,d,n0),
inference(resolution,[status(thm)],[f890,f70]) ).
fof(f5132,plain,
! [X0,X1] :
( meet(c2,b2,X1)
| ~ join(d,X0,X1)
| ~ meet(r1,c2,X0) ),
inference(resolution,[status(thm)],[f836,f118]) ).
fof(f7784,plain,
! [X0] :
( meet(c2,b2,X0)
| ~ join(d,n0,X0) ),
inference(resolution,[status(thm)],[f5132,f102]) ).
fof(f7785,plain,
meet(c2,b2,d),
inference(resolution,[status(thm)],[f7784,f77]) ).
fof(f7794,plain,
! [X0] :
( meet(e,b2,X0)
| ~ meet(e,d,X0) ),
inference(resolution,[status(thm)],[f7785,f1065]) ).
fof(f7898,plain,
meet(e,b2,n0),
inference(resolution,[status(thm)],[f7794,f2389]) ).
fof(f7900,plain,
! [X0] :
( meet(b2,a2,X0)
| ~ join(r1,n0,X0) ),
inference(resolution,[status(thm)],[f7898,f2210]) ).
fof(f8187,plain,
meet(b2,a2,r1),
inference(resolution,[status(thm)],[f7900,f77]) ).
fof(f8211,plain,
meet(a2,b2,r1),
inference(resolution,[status(thm)],[f8187,f36]) ).
fof(f8212,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f8211,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 23:03:20 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 20.69/3.04 % Refutation found
% 20.69/3.04 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.69/3.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.69/3.07 % Elapsed time: 2.693263 seconds
% 20.69/3.07 % CPU time: 21.149038 seconds
% 20.69/3.07 % Total memory used: 125.901 MB
% 20.69/3.07 % Net memory used: 106.202 MB
%------------------------------------------------------------------------------