%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN318+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 : n002.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 03:15:43 PM UTC 2026
% Result : Theorem 0.14s 0.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 4 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 44 ( 16 ~; 9 |; 9 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 22 ( 18 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [Y] :
( ! [X] :
( big_f(X)
=> ( big_f(Y)
=> big_g(X) ) )
=> ( p
=> ! [X] :
( big_f(X)
=> big_g(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [Y] :
( ! [X] :
( big_f(X)
=> ( big_f(Y)
=> big_g(X) ) )
=> ( p
=> ! [X] :
( big_f(X)
=> big_g(Y) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [Y] :
( ? [X] :
( ~ big_g(Y)
& big_f(X) )
& p
& ! [X] :
( big_g(X)
| ~ big_f(Y)
| ~ big_f(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Y] : ~ big_g(Y)
& ? [X] : big_f(X)
& p
& ! [X] :
( big_g(X)
| ! [Y] : ~ big_f(Y)
| ~ big_f(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Y] : ~ big_g(Y)
& big_f(sK0_skl)
& p
& ! [X] :
( big_g(X)
| ! [Y] : ~ big_f(Y)
| ~ big_f(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_g(X0)
| ~ big_f(X1)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
big_f(sK0_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] : ~ big_g(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0,X1] :
( ~ big_f(X1)
| ~ big_f(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f9]) ).
fof(f11,plain,
! [X0] : ~ big_f(X0),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f13,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN318+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 % Computer : n002.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Mon Sep 21 10:51:46 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.43 % Drodi V4.1.1
% 0.14/0.45 % Refutation found
% 0.14/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.49 % Elapsed time: 0.058377 seconds
% 0.14/0.49 % CPU time: 0.169266 seconds
% 0.14/0.49 % Total memory used: 46.596 MB
% 0.14/0.49 % Net memory used: 46.083 MB
%------------------------------------------------------------------------------