%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN226-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 03:15:31 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [D] :
( ~ k0(D)
| p1(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,axiom,
! [A] :
( ~ k1(A)
| p2(A,A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f254,axiom,
! [D,E,F] :
( ~ p2(E,F,D)
| ~ p1(D,D,E)
| l3(D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ l3(b,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f384,plain,
n0(a,b),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f408,plain,
! [I] :
( ! [J] : ~ n0(J,I)
| k1(I) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f517,plain,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f659,plain,
! [X0] :
( ~ k1(X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f743,plain,
! [D,E] :
( ! [F] : ~ p2(E,F,D)
| ~ p1(D,D,E)
| l3(D,D) ),
inference(miniscoping,[status(thm)],[f254]) ).
fof(f744,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2,X0)
| ~ p1(X0,X0,X1)
| l3(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f743]) ).
fof(f924,plain,
~ l3(b,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f929,plain,
k1(b),
inference(resolution,[status(thm)],[f409,f384]) ).
fof(f972,plain,
! [X0,X1] :
( ~ p2(X0,X1,X0)
| l3(X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[f517,f744]) ).
fof(f977,plain,
! [X0] :
( l3(X0,X0)
| ~ k0(X0)
| ~ k1(X0) ),
inference(resolution,[status(thm)],[f659,f972]) ).
fof(f988,plain,
( ~ k0(b)
| ~ k1(b) ),
inference(resolution,[status(thm)],[f977,f924]) ).
fof(f990,plain,
~ k0(b),
inference(forward_subsumption_resolution,[status(thm)],[f988,f929]) ).
fof(f991,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f990,f401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN226-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.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 10:52:15 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.41 % Refutation found
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.075365 seconds
% 0.12/0.44 % CPU time: 0.181963 seconds
% 0.12/0.44 % Total memory used: 69.422 MB
% 0.12/0.44 % Net memory used: 69.254 MB
%------------------------------------------------------------------------------