%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 03:17:10 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
r(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [A,B] :
( ~ r(A,B)
| q(A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [C,B,A] :
( ~ q(A,B)
| r(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [A] :
( ~ r(b,A)
| ~ q(A,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
r(a,b),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [A] :
( ! [B] : ~ r(A,B)
| q(A,A) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0,X1] :
( ~ r(X0,X1)
| q(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [B] :
( ! [A] : ~ q(A,B)
| ! [C] : r(C,B) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ~ q(X2,X1)
| r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X0] :
( ~ r(b,X0)
| ~ q(X0,a) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
q(a,a),
inference(resolution,[status(thm)],[f7,f5]) ).
fof(f12,plain,
! [X0] : r(X0,a),
inference(resolution,[status(thm)],[f9,f11]) ).
fof(f13,plain,
! [X0] : q(X0,X0),
inference(resolution,[status(thm)],[f12,f7]) ).
fof(f14,plain,
! [X0,X1] : r(X0,X1),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f15,plain,
! [X0] : ~ q(X0,a),
inference(forward_subsumption_resolution,[status(thm)],[f10,f14]) ).
fof(f16,plain,
$false,
inference(resolution,[status(thm)],[f15,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN721-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n018.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 11:15:15 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.040476 seconds
% 0.13/0.39 % CPU time: 0.127494 seconds
% 0.13/0.39 % Total memory used: 50.042 MB
% 0.13/0.39 % Net memory used: 49.490 MB
%------------------------------------------------------------------------------