%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN406+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 : 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 03:16:00 PM UTC 2026
% Result : Theorem 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 33 ( 11 ~; 6 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 ( 8 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( ? [Y] :
( h(Y)
& f(Y) )
& ! [X] :
( f(X)
=> g(X) ) )
=> ? [Z] :
( h(Z)
& g(Z) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ( ? [Y] :
( h(Y)
& f(Y) )
& ! [X] :
( f(X)
=> g(X) ) )
=> ? [Z] :
( h(Z)
& g(Z) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [Z] :
( ~ h(Z)
| ~ g(Z) )
& ? [Y] :
( h(Y)
& f(Y) )
& ! [X] :
( g(X)
| ~ f(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Z] :
( ~ h(Z)
| ~ g(Z) )
& h(sK0_skl)
& f(sK0_skl)
& ! [X] :
( g(X)
| ~ f(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl)],[f3]) ).
fof(f5,plain,
! [X0] :
( g(X0)
| ~ f(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f6,plain,
f(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f7,plain,
h(sK0_skl),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f8,plain,
! [X0] :
( ~ h(X0)
| ~ g(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,plain,
g(sK0_skl),
inference(resolution,[status(thm)],[f5,f6]) ).
fof(f10,plain,
~ g(sK0_skl),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f11,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN406+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:54:39 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.068834 seconds
% 0.13/0.43 % CPU time: 0.191310 seconds
% 0.13/0.43 % Total memory used: 55.274 MB
% 0.13/0.43 % Net memory used: 54.585 MB
%------------------------------------------------------------------------------