%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN365+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:15:54 PM UTC 2026
% Result : Theorem 0.08s 5.40s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 71 ( 25 ~; 15 |; 23 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ! [W] :
( big_p(W)
=> ( big_p(h(W))
& big_p(g(W)) ) )
& ! [X] :
? [Y] :
( big_p(X)
=> ( big_p(Y)
& big_r(X,g(h(Y))) ) ) )
=> ! [X] :
( big_p(X)
=> ? [Y] :
( big_p(Y)
& big_r(X,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ! [W] :
( big_p(W)
=> ( big_p(h(W))
& big_p(g(W)) ) )
& ! [X] :
? [Y] :
( big_p(X)
=> ( big_p(Y)
& big_r(X,g(h(Y))) ) ) )
=> ! [X] :
( big_p(X)
=> ? [Y] :
( big_p(Y)
& big_r(X,Y) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ? [X] :
( ! [Y] :
( ~ big_p(Y)
| ~ big_r(X,Y) )
& big_p(X) )
& ! [W] :
( ( big_p(h(W))
& big_p(g(W)) )
| ~ big_p(W) )
& ! [X] :
? [Y] :
( ( big_p(Y)
& big_r(X,g(h(Y))) )
| ~ big_p(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ? [X] :
( ! [Y] :
( ~ big_p(Y)
| ~ big_r(X,Y) )
& big_p(X) )
& ! [W] :
( ( big_p(h(W))
& big_p(g(W)) )
| ~ big_p(W) )
& ! [X] :
( ? [Y] :
( big_p(Y)
& big_r(X,g(h(Y))) )
| ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Y] :
( ~ big_p(Y)
| ~ big_r(sK1_skl,Y) )
& big_p(sK1_skl)
& ! [W] :
( ( big_p(h(W))
& big_p(g(W)) )
| ~ big_p(W) )
& ! [X] :
( ( big_p(sK0_skl(X))
& big_r(X,g(h(sK0_skl(X)))) )
| ~ big_p(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X)),skolemize(X,sK1_skl)],[f4]) ).
fof(f6,plain,
! [X0] :
( big_r(X0,g(h(sK0_skl(X0))))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f7,plain,
! [X0] :
( big_p(sK0_skl(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0] :
( big_p(g(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] :
( big_p(h(X0))
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
big_p(sK1_skl),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0] :
( ~ big_p(X0)
| ~ big_r(sK1_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
( ~ big_p(sK1_skl)
| ~ big_p(g(h(sK0_skl(sK1_skl)))) ),
inference(resolution,[status(thm)],[f11,f6]) ).
fof(f13,plain,
~ big_p(g(h(sK0_skl(sK1_skl)))),
inference(forward_subsumption_resolution,[status(thm)],[f12,f10]) ).
fof(f14,plain,
~ big_p(h(sK0_skl(sK1_skl))),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f15,plain,
~ big_p(sK0_skl(sK1_skl)),
inference(resolution,[status(thm)],[f14,f9]) ).
fof(f16,plain,
~ big_p(sK1_skl),
inference(resolution,[status(thm)],[f15,f7]) ).
fof(f17,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN365+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n014.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 10:51:56 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.08/5.40 % Refutation found
% 0.08/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.43 % Elapsed time: 0.046760 seconds
% 0.14/5.43 % CPU time: 0.142346 seconds
% 0.14/5.43 % Total memory used: 55.310 MB
% 0.14/5.43 % Net memory used: 54.742 MB
%------------------------------------------------------------------------------