%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:46:26 PM UTC 2026
% Result : Theorem 0.03s 0.33s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 2 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 2 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
b_holds(key(generate_key(an_a_nonce),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
a_holds(key(generate_key(an_a_nonce),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
? [U] :
( b_holds(key(U,a))
& a_holds(key(U,b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ? [U] :
( b_holds(key(U,a))
& a_holds(key(U,b)) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f29,plain,
b_holds(key(generate_key(an_a_nonce),a)),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f31,plain,
a_holds(key(generate_key(an_a_nonce),b)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
! [U] :
( ~ b_holds(key(U,a))
| ~ a_holds(key(U,b)) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f36,plain,
! [X0] :
( ~ b_holds(key(X0,a))
| ~ a_holds(key(X0,b)) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
~ a_holds(key(generate_key(an_a_nonce),b)),
inference(resolution,[status(thm)],[f36,f29]) ).
fof(f38,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f37,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV011+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 08:26:07 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 0.03/0.33 % Refutation found
% 0.03/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.35 % Elapsed time: 0.037093 seconds
% 0.07/0.35 % CPU time: 0.074812 seconds
% 0.07/0.35 % Total memory used: 55.612 MB
% 0.07/0.35 % Net memory used: 55.228 MB
%------------------------------------------------------------------------------