%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET242-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 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 02:09:42 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 11 unt; 2 def)
% Number of atoms : 36 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 12 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
! [Z,X,Y] :
( member(Z,intersection(X,Y))
| ~ member(Z,Y)
| ~ member(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,Y,Xr] : intersection(cross_product(X,Y),Xr) = restrict(Xr,X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,negated_conjecture,
member(z,xr),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,negated_conjecture,
member(z,cross_product(x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,negated_conjecture,
~ member(z,restrict(xr,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f153,plain,
! [X0,X1,X2] : intersection(cross_product(X0,X1),X2) = restrict(X2,X0,X1),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f247,plain,
member(z,xr),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f248,plain,
member(z,cross_product(x,y)),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f249,plain,
~ member(z,restrict(xr,x,y)),
inference(cnf_transformation,[status(thm)],[f115]) ).
fof(f477,plain,
! [X0,X1,X2,X3] :
( member(X0,restrict(X3,X1,X2))
| ~ member(X0,X3)
| ~ member(X0,cross_product(X1,X2)) ),
inference(paramodulation,[status(thm)],[f153,f147]) ).
fof(f517,plain,
( ~ member(z,xr)
| ~ member(z,cross_product(x,y)) ),
inference(resolution,[status(thm)],[f477,f249]) ).
fof(f523,definition,
( sQ23_spl
<=> member(z,cross_product(x,y)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( sQ23_spl
| ~ member(z,cross_product(x,y)) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,definition,
( sQ24_spl
<=> member(z,xr) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f528,plain,
( sQ24_spl
| ~ member(z,xr) ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ sQ24_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f517,f523,f526]) ).
fof(f530,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f248]) ).
fof(f531,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f247]) ).
fof(f533,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f534,plain,
$false,
inference(sat_refutation,[status(thm)],[f529,f531,f533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET242-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40 % Computer : n016.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 21 05:08:07 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.18/0.43 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.50 % Elapsed time: 0.084351 seconds
% 0.18/0.50 % CPU time: 0.182330 seconds
% 0.18/0.50 % Total memory used: 34.444 MB
% 0.18/0.50 % Net memory used: 34.325 MB
%------------------------------------------------------------------------------