%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 12:07:27 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 14 unt; 0 def)
% Number of atoms : 37 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z] :
( defined(X,Y)
| ~ product(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] :
( defined(X,Z)
| ~ identity_map(Y)
| ~ defined(Y,Z)
| ~ defined(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : identity_map(domain(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : defined(X,domain(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] : product(codomain(X),X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
domain(a) = codomain(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ defined(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X,Y] :
( defined(X,Y)
| ! [Z] : ~ product(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f23,plain,
! [X0,X1,X2] :
( defined(X0,X1)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f36,plain,
! [X,Z] :
( defined(X,Z)
| ! [Y] :
( ~ identity_map(Y)
| ~ defined(Y,Z)
| ~ defined(X,Y) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f37,plain,
! [X0,X1,X2] :
( defined(X0,X2)
| ~ identity_map(X1)
| ~ defined(X1,X2)
| ~ defined(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
! [X0] : identity_map(domain(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f40,plain,
! [X0] : defined(X0,domain(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f43,plain,
! [X0] : product(codomain(X0),X0,X0),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
domain(a) = codomain(b),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f49,plain,
~ defined(a,b),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f65,plain,
product(domain(a),b,b),
inference(paramodulation,[status(thm)],[f48,f43]) ).
fof(f99,plain,
defined(domain(a),b),
inference(resolution,[status(thm)],[f65,f23]) ).
fof(f169,plain,
! [X0,X1] :
( defined(X0,X1)
| ~ identity_map(domain(X0))
| ~ defined(domain(X0),X1) ),
inference(resolution,[status(thm)],[f40,f37]) ).
fof(f175,plain,
! [X0,X1] :
( defined(X0,X1)
| ~ defined(domain(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f38]) ).
fof(f176,plain,
defined(a,b),
inference(resolution,[status(thm)],[f175,f99]) ).
fof(f181,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f176,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT007-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:55:49 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.049413 seconds
% 0.12/0.40 % CPU time: 0.165145 seconds
% 0.12/0.40 % Total memory used: 56.956 MB
% 0.12/0.40 % Net memory used: 56.591 MB
%------------------------------------------------------------------------------