%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN969+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 : n017.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 03:18:36 PM UTC 2026
% Result : Theorem 0.15s 15.42s
% Output : CNFRefutation 0.15s
% 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 : 32 ( 10 ~; 6 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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,
! [B] :
( ( r(B)
& ! [X] :
( p(X)
=> q(X) ) )
=> ( ! [Y] :
( r(Y)
=> p(Y) )
=> q(B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [B] :
( ( r(B)
& ! [X] :
( p(X)
=> q(X) ) )
=> ( ! [Y] :
( r(Y)
=> p(Y) )
=> q(B) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
? [B] :
( ~ q(B)
& ! [Y] :
( p(Y)
| ~ r(Y) )
& r(B)
& ! [X] :
( q(X)
| ~ p(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ~ q(sK0_skl)
& ! [Y] :
( p(Y)
| ~ r(Y) )
& r(sK0_skl)
& ! [X] :
( q(X)
| ~ p(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl)],[f3]) ).
fof(f5,plain,
! [X0] :
( q(X0)
| ~ p(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
r(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
! [X0] :
( p(X0)
| ~ r(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
~ q(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
p(sK0_skl),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f10,plain,
q(sK0_skl),
inference(resolution,[status(thm)],[f9,f5]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN969+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/15.39 % Computer : n017.cluster.edu
% 0.11/15.39 % Model : x86_64 x86_64
% 0.11/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.39 % Memory : 8046.5625MB
% 0.11/15.39 % OS : Linux 6.8.0-71-generic
% 0.11/15.39 % CPULimit : 300
% 0.11/15.39 % WCLimit : 300
% 0.11/15.39 % DateTime : Mon Sep 21 11:27:13 UTC 2026
% 0.11/15.39 % CPUTime :
% 0.15/15.40 % Drodi V4.1.1
% 0.15/15.42 % Refutation found
% 0.15/15.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/15.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/15.45 % Elapsed time: 0.044183 seconds
% 0.15/15.45 % CPU time: 0.138971 seconds
% 0.15/15.45 % Total memory used: 55.222 MB
% 0.15/15.45 % Net memory used: 54.600 MB
%------------------------------------------------------------------------------