%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL091-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:06:47 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 32 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 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 : 144 ( 144 !; 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,
! [P,Q,R,S,T] : is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(implies(S,P),implies(T,implies(R,P))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(b,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(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
~ is_a_theorem(implies(a,implies(b,a))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X4,implies(X2,X0)))
| ~ is_a_theorem(implies(X3,X0))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[f8,f5]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( is_a_theorem(implies(X7,implies(X5,implies(implies(X0,X1),implies(X2,implies(X3,X1))))))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,implies(X3,X1))),X4),implies(X5,implies(implies(X1,X6),implies(X3,X0))))) ),
inference(resolution,[status(thm)],[f9,f6]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ is_a_theorem(implies(implies(X2,X7),implies(X1,X5)))
| is_a_theorem(implies(X6,implies(X4,implies(X0,implies(X1,X2)))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X5,X2)))) ),
inference(resolution,[status(thm)],[f9,f8]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( is_a_theorem(implies(X8,implies(X5,implies(X0,implies(implies(X1,X2),implies(X2,X3))))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X2,X3))),X4),implies(X5,implies(implies(X6,implies(X7,X2)),implies(X2,X3))))) ),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ is_a_theorem(implies(implies(X6,X8),implies(X5,X2)))
| is_a_theorem(implies(X7,implies(X4,implies(X0,implies(X1,X2)))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(implies(X5,X6),X2)))) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(resolution,[status(thm)],[f13,f6]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( is_a_theorem(implies(X9,implies(X6,implies(X0,implies(X1,implies(X2,implies(X3,X4)))))))
| ~ is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,implies(X3,X4)))),X5),implies(X6,implies(implies(implies(X7,X4),implies(X4,X8)),implies(X2,implies(X3,X4)))))) ),
inference(resolution,[status(thm)],[f14,f6]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f18,f5]) ).
fof(f39,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
inference(resolution,[status(thm)],[f28,f6]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))),
inference(resolution,[status(thm)],[f39,f10]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ is_a_theorem(implies(implies(implies(X4,implies(X5,X6)),X7),implies(implies(implies(X8,X6),implies(X6,X9)),implies(X2,implies(X3,implies(X4,implies(X5,X6)))))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X6))))))) ),
inference(resolution,[status(thm)],[f20,f8]) ).
fof(f67,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f43,f5]) ).
fof(f124,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
inference(resolution,[status(thm)],[f67,f6]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))),
inference(resolution,[status(thm)],[f52,f124]) ).
fof(f403,plain,
! [X0,X1,X2,X3,X4,X5] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f211,f5]) ).
fof(f519,plain,
! [X0,X1,X2,X3,X4] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
inference(resolution,[status(thm)],[f403,f6]) ).
fof(f602,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f519,f5]) ).
fof(f931,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X2,implies(X3,implies(X4,X3))))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f602,f5]) ).
fof(f977,plain,
! [X0,X1,X2,X3,X4] :
( is_a_theorem(implies(X3,implies(X4,X3)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f931,f5]) ).
fof(f997,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X2)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f977,f7]) ).
fof(f1051,plain,
! [X0] : ~ is_a_theorem(X0),
inference(resolution,[status(thm)],[f997,f6]) ).
fof(f1139,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f1051]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL091-1 : 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 : n015.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 : Mon Sep 21 00:07:35 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.53 % Refutation found
% 0.14/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.56 % Elapsed time: 0.183612 seconds
% 0.14/0.56 % CPU time: 1.216413 seconds
% 0.14/0.56 % Total memory used: 84.606 MB
% 0.14/0.56 % Net memory used: 81.576 MB
%------------------------------------------------------------------------------