%------------------------------------------------------------------------------
% 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 : n016.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 : Unsatisfiable 0.14s 0.65s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 4 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 39 ~; 35 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [A,B,C] :
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] :
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
dissimilar(sk1,sk2,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,plain,
! [A,C] :
( is_aligned(A,C)
| ! [B] :
( is_aligned(A,B)
| ~ dissimilar(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f35,plain,
! [X0,X1,X2] :
( is_aligned(X0,X2)
| is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [A,C] :
( ~ is_aligned(A,C)
| ! [B] :
( ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f44,plain,
dissimilar(sk1,sk2,sk2),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( is_aligned(X0,X3)
| ~ dissimilar(X0,X3,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(resolution,[status(thm)],[f37,f35]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4] :
( ~ is_aligned(X0,X4)
| ~ dissimilar(X0,X4,X3)
| ~ dissimilar(X0,X3,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(resolution,[status(thm)],[f47,f37]) ).
fof(f50,plain,
! [X0,X1] :
( ~ is_aligned(sk1,X1)
| ~ dissimilar(sk1,X1,sk2)
| ~ is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk2) ),
inference(resolution,[status(thm)],[f48,f44]) ).
fof(f52,definition,
! [X0] :
( sQ0_spl
<=> ( ~ is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk2) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f53,plain,
! [X0] :
( ~ sQ0_spl
| ~ is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk2) ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,definition,
( sQ1_spl
<=> is_aligned(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f57,plain,
( sQ1_spl
| ~ is_aligned(sk1,sk2) ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f59,plain,
sQ0_spl,
inference(split_clause,[status(thm)],[f50,f52]) ).
fof(f65,plain,
! [X0] :
( sQ1_spl
| is_aligned(sk1,X0)
| ~ dissimilar(sk1,X0,sk2) ),
inference(resolution,[status(thm)],[f57,f35]) ).
fof(f66,plain,
( ~ sQ0_spl
| ~ is_aligned(sk1,sk2) ),
inference(resolution,[status(thm)],[f53,f44]) ).
fof(f67,plain,
( sQ1_spl
| ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f44,f68]) ).
fof(f68,plain,
! [X0] :
( sQ1_spl
| ~ sQ0_spl
| ~ dissimilar(sk1,X0,sk2) ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f53]) ).
fof(f69,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f66,f55,f52]) ).
fof(f71,plain,
$false,
inference(sat_refutation,[status(thm)],[f59,f69,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MGT052-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.61 % Computer : n016.cluster.edu
% 0.14/0.61 % Model : x86_64 x86_64
% 0.14/0.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.61 % Memory : 8046.5625MB
% 0.14/0.61 % OS : Linux 6.8.0-71-generic
% 0.14/0.61 % CPULimit : 300
% 0.14/0.61 % WCLimit : 300
% 0.14/0.61 % DateTime : Mon Sep 21 01:28:53 UTC 2026
% 0.14/0.61 % CPUTime :
% 0.14/0.63 % Drodi V4.1.1
% 0.14/0.65 % Refutation found
% 0.14/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.72 % Elapsed time: 0.094909 seconds
% 0.19/0.72 % CPU time: 0.098454 seconds
% 0.19/0.72 % Total memory used: 2.511 MB
% 0.19/0.72 % Net memory used: 2.507 MB
%------------------------------------------------------------------------------