%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL111-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:06:50 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.49s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 22 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( is_a_theorem(Y)
| ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(Y,X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
~ is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f15,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f25,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f27,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f28,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X2),implies(implies(X2,X1),X1)))),
inference(resolution,[status(thm)],[f11,f14]) ).
fof(f29,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f25,f8]) ).
fof(f31,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),X2)),
inference(resolution,[status(thm)],[f27,f15]) ).
fof(f57,plain,
! [X0,X1] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[status(thm)],[f27,f8]) ).
fof(f59,plain,
! [X0,X1,X2] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(resolution,[status(thm)],[f31,f8]) ).
fof(f61,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f59,f10]) ).
fof(f83,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,implies(implies(c,a),implies(c,b))))
| ~ is_a_theorem(implies(implies(a,b),X0)) ),
inference(resolution,[status(thm)],[f29,f13]) ).
fof(f119,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(c,a),X0))
| ~ is_a_theorem(implies(implies(a,b),implies(X0,implies(c,b)))) ),
inference(resolution,[status(thm)],[f83,f25]) ).
fof(f144,plain,
! [X0,X1,X2] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0)),X2)) ),
inference(resolution,[status(thm)],[f57,f28]) ).
fof(f287,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f61,f144]) ).
fof(f344,plain,
~ is_a_theorem(implies(implies(c,a),implies(implies(a,b),implies(c,b)))),
inference(resolution,[status(thm)],[f119,f287]) ).
fof(f348,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f344,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL111-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 00:05:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.49 % Refutation found
% 0.12/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.50 % Elapsed time: 0.139137 seconds
% 0.12/0.50 % CPU time: 0.810962 seconds
% 0.12/0.50 % Total memory used: 71.277 MB
% 0.12/0.50 % Net memory used: 68.275 MB
%------------------------------------------------------------------------------