%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN981+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 : n008.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 03:18:38 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 40 ( 13 ~; 8 |; 11 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 21 ( 14 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [Y] :
( q(Y)
=> r(Y) )
& ! [X] :
( p(X)
=> q(X) ) )
=> ? [Z] :
( p(Z)
=> r(Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ? [Y] :
( q(Y)
=> r(Y) )
& ! [X] :
( p(X)
=> q(X) ) )
=> ? [Z] :
( p(Z)
=> r(Z) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [Z] :
( ~ r(Z)
& p(Z) )
& ? [Y] :
( r(Y)
| ~ q(Y) )
& ! [X] :
( q(X)
| ~ p(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Z] : ~ r(Z)
& ! [Z] : p(Z)
& ( ? [Y] : r(Y)
| ? [Y] : ~ q(Y) )
& ! [X] :
( q(X)
| ~ p(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Z] : ~ r(Z)
& ! [Z] : p(Z)
& ( r(sK1_skl)
| ~ q(sK0_skl) )
& ! [X] :
( q(X)
| ~ p(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(Y,sK1_skl)],[f4]) ).
fof(f6,plain,
! [X0] :
( q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
( r(sK1_skl)
| ~ q(sK0_skl) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0] : p(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] : ~ r(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0] : q(X0),
inference(forward_subsumption_resolution,[status(thm)],[f6,f8]) ).
fof(f11,plain,
r(sK1_skl),
inference(forward_subsumption_resolution,[status(thm)],[f7,f10]) ).
fof(f12,plain,
$false,
inference(resolution,[status(thm)],[f11,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN981+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n008.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 11:32:54 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.54 % Elapsed time: 0.084737 seconds
% 0.27/0.54 % CPU time: 0.129037 seconds
% 0.27/0.54 % Total memory used: 17.275 MB
% 0.27/0.54 % Net memory used: 17.068 MB
%------------------------------------------------------------------------------