%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL035-1 : 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 01:06:38 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 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,Z,U,V] : is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(falsehood,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [Y] :
( is_a_theorem(Y)
| ! [X] :
( ~ is_a_theorem(X)
| ~ is_a_theorem(implies(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4),implies(implies(X4,X0),implies(X2,X0)))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(implies(falsehood,a)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(implies(X4,X0),implies(X2,X0)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4)) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X4,X0))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4)) ),
inference(resolution,[status(thm)],[f8,f5]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,X6),implies(X0,falsehood)),X7),X5))
| is_a_theorem(implies(X3,implies(X0,X1)))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,falsehood)),X4),implies(X5,X1))) ),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( is_a_theorem(implies(X4,implies(X0,implies(X1,X2))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,falsehood)),X5),implies(implies(implies(X6,X1),implies(X7,X1)),implies(X1,X2)))) ),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(X2,X3),X4),implies(implies(implies(X5,X2),implies(X6,X2)),falsehood)),X7),implies(implies(implies(X1,implies(X2,X3)),X8),implies(X0,falsehood))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f25,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(falsehood,X2)))),
inference(resolution,[status(thm)],[f16,f6]) ).
fof(f34,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X1,implies(falsehood,X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f25,f5]) ).
fof(f45,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(falsehood,X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f34,f5]) ).
fof(f57,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f45,f7]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] : ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,falsehood)),X3),X4)),
inference(backward_subsumption_resolution,[status(thm)],[f8,f57]) ).
fof(f94,plain,
$false,
inference(resolution,[status(thm)],[f85,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL035-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.43 % Computer : n019.cluster.edu
% 0.15/5.43 % Model : x86_64 x86_64
% 0.15/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.43 % Memory : 8046.5625MB
% 0.15/5.43 % OS : Linux 6.8.0-71-generic
% 0.15/5.43 % CPULimit : 300
% 0.15/5.43 % WCLimit : 300
% 0.15/5.43 % DateTime : Mon Sep 21 00:01:27 UTC 2026
% 0.15/5.44 % CPUTime :
% 0.15/5.45 % Drodi V4.1.1
% 0.15/5.47 % Refutation found
% 0.15/5.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.52 % Elapsed time: 0.072922 seconds
% 0.21/5.52 % CPU time: 0.123224 seconds
% 0.21/5.52 % Total memory used: 10.966 MB
% 0.21/5.52 % Net memory used: 10.827 MB
%------------------------------------------------------------------------------