%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN339+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:15:48 PM UTC 2026
% Result : Theorem 0.26s 0.53s
% Output : CNFRefutation 0.26s
% 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 : 6 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 20 ( 14 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X] :
! [Y] :
? [Z] :
( big_f(X,Y,Z)
=> big_f(Y,Z,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X] :
! [Y] :
? [Z] :
( big_f(X,Y,Z)
=> big_f(Y,Z,Z) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X] :
? [Y] :
! [Z] :
( ~ big_f(Y,Z,Z)
& big_f(X,Y,Z) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X] :
? [Y] :
( ! [Z] : ~ big_f(Y,Z,Z)
& ! [Z] : big_f(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
! [X] :
( ! [Z] : ~ big_f(sK0_skl(X),Z,Z)
& ! [Z] : big_f(X,sK0_skl(X),Z) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f4]) ).
fof(f6,plain,
! [X0,X1] : big_f(X0,sK0_skl(X0),X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0,X1] : ~ big_f(sK0_skl(X0),X1,X1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
$false,
inference(resolution,[status(thm)],[f7,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN339+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 % Computer : n026.cluster.edu
% 0.22/0.48 % Model : x86_64 x86_64
% 0.22/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.48 % Memory : 8046.5625MB
% 0.22/0.48 % OS : Linux 6.8.0-71-generic
% 0.22/0.48 % CPULimit : 300
% 0.22/0.48 % WCLimit : 300
% 0.22/0.48 % DateTime : Mon Sep 21 10:53:07 UTC 2026
% 0.22/0.49 % CPUTime :
% 0.22/0.50 % Drodi V4.1.1
% 0.26/0.53 % Refutation found
% 0.26/0.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.26/0.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.60 % Elapsed time: 0.101239 seconds
% 0.26/0.60 % CPU time: 0.080011 seconds
% 0.26/0.60 % Total memory used: 511.728 KB
% 0.26/0.60 % Net memory used: 493.584 KB
%------------------------------------------------------------------------------