%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 02:20:05 PM UTC 2026
% Result : Theorem 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 47 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 15 ~; 11 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 14 ( 13 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B] :
( ( finite(B)
& function(A)
& relation(A) )
=> finite(relation_image(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( relation(A)
=> relation_image(A,relation_dom(A)) = relation_rng(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [A,B] :
( finite(relation_image(A,B))
| ~ finite(B)
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f15,plain,
! [A] :
( relation_image(A,relation_dom(A)) = relation_rng(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f20,plain,
? [A] :
( ~ finite(relation_rng(A))
& finite(relation_dom(A))
& function(A)
& relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
( ~ finite(relation_rng(sK1_skl))
& finite(relation_dom(sK1_skl))
& function(sK1_skl)
& relation(sK1_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(A,sK1_skl)],[f20]) ).
fof(f22,plain,
relation(sK1_skl),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
function(sK1_skl),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f24,plain,
finite(relation_dom(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f25,plain,
~ finite(relation_rng(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f26,plain,
relation_image(sK1_skl,relation_dom(sK1_skl)) = relation_rng(sK1_skl),
inference(resolution,[status(thm)],[f16,f22]) ).
fof(f29,plain,
! [X0] :
( finite(relation_image(sK1_skl,X0))
| ~ finite(X0)
| ~ function(sK1_skl) ),
inference(resolution,[status(thm)],[f11,f22]) ).
fof(f31,plain,
! [X0] :
( finite(relation_image(sK1_skl,X0))
| ~ finite(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f23]) ).
fof(f32,plain,
finite(relation_image(sK1_skl,relation_dom(sK1_skl))),
inference(resolution,[status(thm)],[f31,f24]) ).
fof(f33,plain,
finite(relation_rng(sK1_skl)),
inference(forward_demodulation,[status(thm)],[f26,f32]) ).
fof(f34,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f33,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU303+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 06:09:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.33 % Elapsed time: 0.033857 seconds
% 0.08/0.33 % CPU time: 0.085379 seconds
% 0.08/0.33 % Total memory used: 44.072 MB
% 0.08/0.33 % Net memory used: 43.520 MB
%------------------------------------------------------------------------------