%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN958+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:18:34 PM UTC 2026
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 21 ( 8 ~; 3 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 14 ( 9 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [X] : b(X)
& ? [X] : a(X) )
=> ? [X] :
( b(X)
& a(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [X] : b(X)
& ? [X] : a(X) )
=> ? [X] :
( b(X)
& a(X) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X] :
( ~ b(X)
| ~ a(X) )
& ! [X] : b(X)
& ? [X] : a(X) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [X] :
( ~ b(X)
| ~ a(X) )
& ! [X] : b(X)
& a(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f3]) ).
fof(f5,plain,
a(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
! [X0] : b(X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0] :
( ~ b(X0)
| ~ a(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
! [X0] : ~ a(X0),
inference(forward_subsumption_resolution,[status(thm)],[f7,f6]) ).
fof(f10,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f5,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN958+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:36:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.031725 seconds
% 0.13/0.40 % CPU time: 0.053682 seconds
% 0.13/0.40 % Total memory used: 1.725 MB
% 0.13/0.40 % Net memory used: 1.706 MB
%------------------------------------------------------------------------------