%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN073+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 03:15:08 PM UTC 2026
% Result : Theorem 0.11s 5.59s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 13 ( 4 ~; 5 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 19 ( 16 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X] :
( ! [Y] : big_f(X,Y)
| big_f(a,X) )
=> ? [X1] :
! [Y1] : big_f(X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X] :
( ! [Y] : big_f(X,Y)
| big_f(a,X) )
=> ? [X1] :
! [Y1] : big_f(X1,Y1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X1] :
? [Y1] : ~ big_f(X1,Y1)
& ! [X] :
( ! [Y] : big_f(X,Y)
| big_f(a,X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [X1] : ~ big_f(X1,sK0_skl(X1))
& ! [X] :
( ! [Y] : big_f(X,Y)
| big_f(a,X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y1,sK0_skl(X1))],[f3]) ).
fof(f5,plain,
! [X0,X1] :
( big_f(X0,X1)
| big_f(a,X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] : ~ big_f(X0,sK0_skl(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0] : big_f(a,X0),
inference(resolution,[status(thm)],[f5,f6]) ).
fof(f9,plain,
$false,
inference(resolution,[status(thm)],[f8,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN073+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.56 % Computer : n004.cluster.edu
% 0.11/5.56 % Model : x86_64 x86_64
% 0.11/5.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.56 % Memory : 8046.5625MB
% 0.11/5.56 % OS : Linux 6.8.0-71-generic
% 0.11/5.56 % CPULimit : 300
% 0.11/5.56 % WCLimit : 300
% 0.11/5.56 % DateTime : Mon Sep 21 10:42:14 UTC 2026
% 0.11/5.56 % CPUTime :
% 0.11/5.57 % Drodi V4.1.1
% 0.11/5.59 % Refutation found
% 0.11/5.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/5.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.60 % Elapsed time: 0.030880 seconds
% 0.14/5.60 % CPU time: 0.072278 seconds
% 0.14/5.60 % Total memory used: 7.703 MB
% 0.14/5.60 % Net memory used: 7.397 MB
%------------------------------------------------------------------------------