%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU219+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:19:44 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 8 unt; 0 def)
% Number of atoms : 63 ( 31 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 64 ( 26 ~; 18 |; 13 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 10 ( 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [A] :
( ( function(A)
& relation(A) )
=> ( one_to_one(A)
=> function_inverse(A) = relation_inverse(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [A] :
( relation(A)
=> ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,conjecture,
! [A] :
( ( function(A)
& relation(A) )
=> ( one_to_one(A)
=> ( relation_dom(A) = relation_rng(function_inverse(A))
& relation_rng(A) = relation_dom(function_inverse(A)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [A] :
( ( function(A)
& relation(A) )
=> ( one_to_one(A)
=> ( relation_dom(A) = relation_rng(function_inverse(A))
& relation_rng(A) = relation_dom(function_inverse(A)) ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f52,plain,
! [A] :
( function_inverse(A) = relation_inverse(A)
| ~ one_to_one(A)
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f53,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f123,plain,
! [A] :
( ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) )
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f124,plain,
! [X0] :
( relation_rng(X0) = relation_dom(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f125,plain,
! [X0] :
( relation_dom(X0) = relation_rng(relation_inverse(X0))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f133,plain,
? [A] :
( ( relation_dom(A) != relation_rng(function_inverse(A))
| relation_rng(A) != relation_dom(function_inverse(A)) )
& one_to_one(A)
& function(A)
& relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f134,plain,
( ( relation_dom(sK11_skl) != relation_rng(function_inverse(sK11_skl))
| relation_rng(sK11_skl) != relation_dom(function_inverse(sK11_skl)) )
& one_to_one(sK11_skl)
& function(sK11_skl)
& relation(sK11_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(A,sK11_skl)],[f133]) ).
fof(f135,plain,
relation(sK11_skl),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
function(sK11_skl),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
one_to_one(sK11_skl),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
( relation_dom(sK11_skl) != relation_rng(function_inverse(sK11_skl))
| relation_rng(sK11_skl) != relation_dom(function_inverse(sK11_skl)) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f152,plain,
( function_inverse(sK11_skl) = relation_inverse(sK11_skl)
| ~ function(sK11_skl)
| ~ relation(sK11_skl) ),
inference(resolution,[status(thm)],[f53,f137]) ).
fof(f153,plain,
( function_inverse(sK11_skl) = relation_inverse(sK11_skl)
| ~ function(sK11_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f135]) ).
fof(f165,plain,
( relation_dom(sK11_skl) != relation_rng(relation_inverse(sK11_skl))
| relation_rng(sK11_skl) != relation_dom(function_inverse(sK11_skl)) ),
inference(backward_demodulation,[status(thm)],[f167,f138]) ).
fof(f167,plain,
function_inverse(sK11_skl) = relation_inverse(sK11_skl),
inference(forward_subsumption_resolution,[status(thm)],[f153,f136]) ).
fof(f168,plain,
( relation_dom(sK11_skl) != relation_rng(relation_inverse(sK11_skl))
| relation_rng(sK11_skl) != relation_dom(relation_inverse(sK11_skl)) ),
inference(forward_demodulation,[status(thm)],[f167,f165]) ).
fof(f198,plain,
relation_rng(sK11_skl) = relation_dom(relation_inverse(sK11_skl)),
inference(resolution,[status(thm)],[f124,f135]) ).
fof(f202,plain,
relation_dom(sK11_skl) = relation_rng(relation_inverse(sK11_skl)),
inference(resolution,[status(thm)],[f125,f135]) ).
fof(f261,plain,
( relation_dom(sK11_skl) != relation_rng(relation_inverse(sK11_skl))
| relation_rng(sK11_skl) != relation_rng(sK11_skl) ),
inference(backward_demodulation,[status(thm)],[f198,f168]) ).
fof(f263,plain,
relation_dom(sK11_skl) != relation_rng(relation_inverse(sK11_skl)),
inference(trivial_equality_resolution,[status(thm)],[f261]) ).
fof(f318,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f202,f263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU219+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 05:59:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.053842 seconds
% 0.14/0.43 % CPU time: 0.146993 seconds
% 0.14/0.43 % Total memory used: 82.161 MB
% 0.14/0.43 % Net memory used: 82.100 MB
%------------------------------------------------------------------------------