%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN383+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 : n018.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 0.59s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 18 ( 6 ~; 2 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 9 ( 6 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X] :
! [Y] :
( ( big_q(Y)
& big_p(X) )
=> ( big_p(Y)
| big_q(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ? [X] :
! [Y] :
( ( big_q(Y)
& big_p(X) )
=> ( big_p(Y)
| big_q(X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
! [X] :
? [Y] :
( ~ big_p(Y)
& ~ big_q(X)
& big_q(Y)
& big_p(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
! [X] :
( ~ big_p(sK0_skl(X))
& ~ big_q(X)
& big_q(sK0_skl(X))
& big_p(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f3]) ).
fof(f6,plain,
! [X0] : big_q(sK0_skl(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0] : ~ big_q(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f6,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN383+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n018.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Mon Sep 21 10:54:47 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.57 % Drodi V4.1.1
% 0.09/0.59 % Refutation found
% 0.09/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.61 % Elapsed time: 0.048071 seconds
% 0.09/0.61 % CPU time: 0.106498 seconds
% 0.09/0.61 % Total memory used: 16.423 MB
% 0.09/0.61 % Net memory used: 15.791 MB
%------------------------------------------------------------------------------