%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT052+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:25:28 PM UTC 2026
% Result : Theorem 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 8 unt; 1 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 58 ( 23 ~; 20 |; 10 &)
% ( 4 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 27 ( 25 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [X,T] : ~ dissimilar(X,T,T),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [X,T] : ~ dissimilar(X,T,T),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f30,plain,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ( is_aligned(X,T0)
<~> is_aligned(X,T) )
& organization(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f31,plain,
! [X,T0,T] :
( ( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ( ( ( ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( is_aligned(X,T)
| is_aligned(X,T0) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(NNF_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
( ! [X,T0,T] :
( ( ( ~ is_aligned(X,T)
| is_aligned(X,T0) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X)
| dissimilar(X,T0,T) )
& ! [X,T0,T] :
( ( ( ~ is_aligned(X,T)
| ~ is_aligned(X,T0) )
& ( is_aligned(X,T)
| is_aligned(X,T0) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f34,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f38,plain,
? [X,T] : dissimilar(X,T,T),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
dissimilar(sK0_skl,sK1_skl,sK1_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(T,sK1_skl)],[f38]) ).
fof(f40,plain,
dissimilar(sK0_skl,sK1_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f43,plain,
( is_aligned(sK0_skl,sK1_skl)
| is_aligned(sK0_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f34,f40]) ).
fof(f44,definition,
( sQ0_spl
<=> is_aligned(sK0_skl,sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f47,plain,
sQ0_spl,
inference(split_clause,[status(thm)],[f43,f44]) ).
fof(f48,plain,
( ~ is_aligned(sK0_skl,sK1_skl)
| ~ is_aligned(sK0_skl,sK1_skl) ),
inference(resolution,[status(thm)],[f35,f40]) ).
fof(f49,plain,
~ sQ0_spl,
inference(split_clause,[status(thm)],[f48,f44]) ).
fof(f50,plain,
$false,
inference(sat_refutation,[status(thm)],[f47,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT052+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 01:24:13 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.15/0.36 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.049523 seconds
% 0.15/0.42 % CPU time: 0.137492 seconds
% 0.15/0.42 % Total memory used: 80.110 MB
% 0.15/0.42 % Net memory used: 79.657 MB
%------------------------------------------------------------------------------