%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 02:10:05 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 11 unt; 0 def)
% Number of atoms : 21 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f79,axiom,
! [Xf] :
( cross_product(domain_of(domain_of(Xf)),domain_of(domain_of(Xf))) = domain_of(Xf)
| ~ operation(Xf) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f113,negated_conjecture,
operation(xf1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
compatible(xh,xf1,xf2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,plain,
! [X0] :
( cross_product(domain_of(domain_of(X0)),domain_of(domain_of(X0))) = domain_of(X0)
| ~ operation(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
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(f247,plain,
operation(xf1),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f248,plain,
compatible(xh,xf1,xf2),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f249,plain,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f254,plain,
domain_of(domain_of(xf1)) = domain_of(xh),
inference(resolution,[status(thm)],[f209,f248]) ).
fof(f264,plain,
cross_product(domain_of(domain_of(xf1)),domain_of(domain_of(xf1))) = domain_of(xf1),
inference(resolution,[status(thm)],[f203,f247]) ).
fof(f265,plain,
cross_product(domain_of(xh),domain_of(domain_of(xf1))) = domain_of(xf1),
inference(forward_demodulation,[status(thm)],[f254,f264]) ).
fof(f266,plain,
cross_product(domain_of(xh),domain_of(xh)) = domain_of(xf1),
inference(forward_demodulation,[status(thm)],[f254,f265]) ).
fof(f267,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f266,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET558-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 05:29:06 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.57 % Elapsed time: 0.121305 seconds
% 0.22/0.57 % CPU time: 0.117912 seconds
% 0.22/0.57 % Total memory used: 6.688 MB
% 0.22/0.57 % Net memory used: 6.683 MB
%------------------------------------------------------------------------------