%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:07:38 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [B,A] :
( ~ a_truth(implies(A,B))
| ~ a_truth(A)
| a_truth(B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [A,B] : a_truth(implies(A,implies(B,A))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [A,B,C] : a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ a_truth(implies(sk1,sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1] :
( ~ a_truth(implies(X1,X0))
| ~ a_truth(X1)
| a_truth(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] : a_truth(implies(X0,implies(X1,X0))),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : a_truth(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
~ a_truth(implies(sk1,sk1)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ a_truth(implies(X0,implies(X1,X2)))
| a_truth(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ~ a_truth(implies(X0,X1))
| a_truth(implies(X0,X2))
| ~ a_truth(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[f13,f6]) ).
fof(f40,plain,
! [X0,X1,X2] :
( a_truth(implies(X0,X2))
| ~ a_truth(implies(X0,implies(implies(X1,X0),X2))) ),
inference(resolution,[status(thm)],[f25,f7]) ).
fof(f47,plain,
! [X0] : a_truth(implies(X0,X0)),
inference(resolution,[status(thm)],[f40,f7]) ).
fof(f49,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL414-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n013.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 00:29:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.050868 seconds
% 0.09/0.43 % CPU time: 0.129783 seconds
% 0.09/0.43 % Total memory used: 36.597 MB
% 0.09/0.43 % Net memory used: 36.262 MB
%------------------------------------------------------------------------------