%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN957+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 : n020.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 03:18:34 PM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 2 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 14 ~; 8 |; 3 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 9 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [Y] :
! [X] :
( a(X,Y)
<=> ~ a(X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ~ ? [Y] :
! [X] :
( a(X,Y)
<=> ~ a(X,X) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [Y] :
! [X] :
( ( a(X,X)
| a(X,Y) )
& ( ~ a(X,X)
| ~ a(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
? [Y] :
( ! [X] :
( a(X,X)
| a(X,Y) )
& ! [X] :
( ~ a(X,X)
| ~ a(X,Y) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [X] :
( a(X,X)
| a(X,sK0_skl) )
& ! [X] :
( ~ a(X,X)
| ~ a(X,sK0_skl) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f4]) ).
fof(f6,plain,
! [X0] :
( ~ a(X0,X0)
| ~ a(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] :
( a(X0,X0)
| a(X0,sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
~ a(sK0_skl,sK0_skl),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f15,plain,
$false,
inference(resolution,[status(thm)],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN957+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 11:32:17 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.038698 seconds
% 0.13/0.39 % CPU time: 0.084854 seconds
% 0.13/0.39 % Total memory used: 11.264 MB
% 0.13/0.39 % Net memory used: 10.839 MB
%------------------------------------------------------------------------------