%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:10:06 PM UTC 2026
% Result : Unsatisfiable 0.15s 5.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 22 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f83,axiom,
! [Xh,Xf1,Xf2] :
( domain_of(domain_of(Xf1)) = domain_of(Xh)
| ~ compatible(Xh,Xf1,Xf2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [Xh,Xf1,Xf2] :
( subclass(range_of(Xh),domain_of(domain_of(Xf2)))
| ~ compatible(Xh,Xf1,Xf2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
compatible(xh1,xf1,xf2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
compatible(xh2,xf2,xf3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ subclass(range_of(xh1),domain_of(xh2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f208,plain,
! [Xh,Xf1] :
( domain_of(domain_of(Xf1)) = domain_of(Xh)
| ! [Xf2] : ~ compatible(Xh,Xf1,Xf2) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f209,plain,
! [X0,X1,X2] :
( domain_of(domain_of(X1)) = domain_of(X0)
| ~ compatible(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
! [Xh,Xf2] :
( subclass(range_of(Xh),domain_of(domain_of(Xf2)))
| ! [Xf1] : ~ compatible(Xh,Xf1,Xf2) ),
inference(miniscoping,[status(thm)],[f84]) ).
fof(f211,plain,
! [X0,X1,X2] :
( subclass(range_of(X0),domain_of(domain_of(X2)))
| ~ compatible(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f247,plain,
compatible(xh1,xf1,xf2),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f248,plain,
compatible(xh2,xf2,xf3),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f249,plain,
~ subclass(range_of(xh1),domain_of(xh2)),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f265,plain,
domain_of(domain_of(xf2)) = domain_of(xh2),
inference(resolution,[status(thm)],[f209,f248]) ).
fof(f268,plain,
subclass(range_of(xh1),domain_of(domain_of(xf2))),
inference(resolution,[status(thm)],[f211,f247]) ).
fof(f269,plain,
subclass(range_of(xh1),domain_of(xh2)),
inference(forward_demodulation,[status(thm)],[f265,f268]) ).
fof(f270,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f269,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET563-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.39 % Computer : n026.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Mon Sep 21 05:28:28 UTC 2026
% 0.11/5.40 % CPUTime :
% 0.15/5.42 % Drodi V4.1.1
% 0.15/5.44 % Refutation found
% 0.15/5.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.46 % Elapsed time: 0.058474 seconds
% 0.15/5.46 % CPU time: 0.139151 seconds
% 0.15/5.46 % Total memory used: 29.938 MB
% 0.15/5.46 % Net memory used: 29.919 MB
%------------------------------------------------------------------------------