%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 03:18:19 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 55 ( 21 ~; 13 |; 13 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 41 ( 37 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X,Y,Z] :
( ( r(Y,Z)
& r(X,Y) )
=> r(X,Z) )
& ! [X,Y] :
( r(X,Y)
=> r(Y,X) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [X,Y,Z] :
( ( r(Y,Z)
& r(X,Y) )
=> r(X,Z) )
& ! [X,Y] :
( r(X,Y)
=> r(Y,X) ) )
=> ! [X,Y] :
( r(X,Y)
=> r(X,X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X,Y] :
( ~ r(X,X)
& r(X,Y) )
& ! [X,Y,Z] :
( r(X,Z)
| ~ r(Y,Z)
| ~ r(X,Y) )
& ! [X,Y] :
( r(Y,X)
| ~ r(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ? [X] :
( ~ r(X,X)
& ? [Y] : r(X,Y) )
& ! [X,Z] :
( r(X,Z)
| ! [Y] :
( ~ r(Y,Z)
| ~ r(X,Y) ) )
& ! [X,Y] :
( r(Y,X)
| ~ r(X,Y) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ~ r(sK0_skl,sK0_skl)
& r(sK0_skl,sK1_skl)
& ! [X,Z] :
( r(X,Z)
| ! [Y] :
( ~ r(Y,Z)
| ~ r(X,Y) ) )
& ! [X,Y] :
( r(Y,X)
| ~ r(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( r(X1,X0)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( r(X0,X2)
| ~ r(X1,X2)
| ~ r(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
r(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
~ r(sK0_skl,sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0] :
( ~ r(X0,sK0_skl)
| ~ r(sK0_skl,X0) ),
inference(resolution,[status(thm)],[f7,f9]) ).
fof(f12,plain,
! [X0] : ~ r(X0,sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f11,f6]) ).
fof(f14,plain,
! [X0] : ~ r(sK0_skl,X0),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f16,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN919+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:29:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.40 % Elapsed time: 0.034116 seconds
% 0.09/0.40 % CPU time: 0.111969 seconds
% 0.09/0.40 % Total memory used: 36.275 MB
% 0.09/0.40 % Net memory used: 35.903 MB
%------------------------------------------------------------------------------