%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN355+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 : n011.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 03:15:52 PM UTC 2026
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 34 ( 12 ~; 8 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 13 ( 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X] :
( ~ big_q(X)
=> big_r(X) )
& ! [X] :
( big_r(X)
=> big_p(X) ) )
=> ! [X] :
( big_q(X)
| big_p(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [X] :
( ~ big_q(X)
=> big_r(X) )
& ! [X] :
( big_r(X)
=> big_p(X) ) )
=> ! [X] :
( big_q(X)
| big_p(X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X] :
( ~ big_q(X)
& ~ big_p(X) )
& ! [X] :
( big_r(X)
| big_q(X) )
& ! [X] :
( big_p(X)
| ~ big_r(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ~ big_q(sK0_skl)
& ~ big_p(sK0_skl)
& ! [X] :
( big_r(X)
| big_q(X) )
& ! [X] :
( big_p(X)
| ~ big_r(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f3]) ).
fof(f5,plain,
! [X0] :
( big_p(X0)
| ~ big_r(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] :
( big_r(X0)
| big_q(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
~ big_p(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
~ big_q(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
big_r(sK0_skl),
inference(resolution,[status(thm)],[f8,f6]) ).
fof(f10,plain,
big_p(sK0_skl),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN355+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n011.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 10:51:25 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.51 % Elapsed time: 0.050342 seconds
% 0.19/0.51 % CPU time: 0.061245 seconds
% 0.19/0.51 % Total memory used: 2.055 MB
% 0.19/0.51 % Net memory used: 1.984 MB
%------------------------------------------------------------------------------