%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN384+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 : n001.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 03:15:56 PM UTC 2026
% Result : Theorem 0.09s 5.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 0 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 15 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [Z] :
? [X,Y] :
! [U] :
( big_p(X,Y,Z)
=> big_p(U,X,X) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [Z] :
! [X,Y] :
? [U] :
( ~ big_p(U,X,X)
& big_p(X,Y,Z) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [X] :
? [U] : ~ big_p(U,X,X)
& ? [Z] :
! [X,Y] : big_p(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [X] : ~ big_p(sK1_skl(X),X,X)
& ! [X,Y] : big_p(X,Y,sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Z,sK0_skl),skolemize(U,sK1_skl(X))],[f4]) ).
fof(f6,plain,
! [X0,X1] : big_p(X0,X1,sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] : ~ big_p(sK1_skl(X0),X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
$false,
inference(resolution,[status(thm)],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN384+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n001.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Mon Sep 21 10:58:38 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.41 % Elapsed time: 0.036921 seconds
% 0.13/5.41 % CPU time: 0.097820 seconds
% 0.13/5.41 % Total memory used: 13.316 MB
% 0.13/5.41 % Net memory used: 12.784 MB
%------------------------------------------------------------------------------