%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:17:09 PM UTC 2026
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 7 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 41 ( 14 ~; 9 |; 12 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 35 ( 31 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [U,V] :
( q(U,V)
=> ! [Z] : r(Z,V) )
& ! [X] :
( ? [Y] : r(X,Y)
=> q(X,X) )
& r(a,b) )
=> ? [W] :
( q(W,a)
& r(b,W) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [U,V] :
( q(U,V)
=> ! [Z] : r(Z,V) )
& ! [X] :
( ? [Y] : r(X,Y)
=> q(X,X) )
& r(a,b) )
=> ? [W] :
( q(W,a)
& r(b,W) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [W] :
( ~ q(W,a)
| ~ r(b,W) )
& ! [U,V] :
( ! [Z] : r(Z,V)
| ~ q(U,V) )
& ! [X] :
( q(X,X)
| ! [Y] : ~ r(X,Y) )
& r(a,b) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [W] :
( ~ q(W,a)
| ~ r(b,W) )
& ! [V] :
( ! [Z] : r(Z,V)
| ! [U] : ~ q(U,V) )
& ! [X] :
( q(X,X)
| ! [Y] : ~ r(X,Y) )
& r(a,b) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
r(a,b),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( q(X0,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0,X1,X2] :
( r(X2,X1)
| ~ q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0] :
( ~ q(X0,a)
| ~ r(b,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
q(a,a),
inference(resolution,[status(thm)],[f6,f5]) ).
fof(f10,plain,
! [X0] : r(X0,a),
inference(resolution,[status(thm)],[f7,f9]) ).
fof(f11,plain,
! [X0] : q(X0,X0),
inference(resolution,[status(thm)],[f10,f6]) ).
fof(f12,plain,
! [X0,X1] : r(X0,X1),
inference(resolution,[status(thm)],[f11,f7]) ).
fof(f13,plain,
! [X0] : ~ q(X0,a),
inference(forward_subsumption_resolution,[status(thm)],[f8,f12]) ).
fof(f14,plain,
$false,
inference(resolution,[status(thm)],[f13,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN721+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.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 11:13:56 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.047163 seconds
% 0.13/0.42 % CPU time: 0.142452 seconds
% 0.13/0.42 % Total memory used: 55.296 MB
% 0.13/0.42 % Net memory used: 54.647 MB
%------------------------------------------------------------------------------