%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.14s 10.88s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 10 unt; 4 def)
% Number of atoms : 76 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 24 ~; 22 |; 10 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 12 ( 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [A,B] :
( ( finite(B)
& function(A)
& relation(A) )
=> finite(relation_image(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A] :
( relation(A)
=> relation_image(A,relation_dom(A)) = relation_rng(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,conjecture,
! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
~ ! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f107,plain,
! [A,B] :
( finite(relation_image(A,B))
| ~ finite(B)
| ~ function(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f108,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f252,plain,
! [A] :
( relation_image(A,relation_dom(A)) = relation_rng(A)
| ~ relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f253,plain,
! [X0] :
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,plain,
? [A] :
( ~ finite(relation_rng(A))
& finite(relation_dom(A))
& function(A)
& relation(A) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f260,plain,
( ~ finite(relation_rng(sK26_skl))
& finite(relation_dom(sK26_skl))
& function(sK26_skl)
& relation(sK26_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl]),skolemize(A,sK26_skl)],[f259]) ).
fof(f261,plain,
relation(sK26_skl),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f262,plain,
function(sK26_skl),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f263,plain,
finite(relation_dom(sK26_skl)),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f264,plain,
~ finite(relation_rng(sK26_skl)),
inference(cnf_transformation,[status(thm)],[f260]) ).
fof(f1248,plain,
relation_image(sK26_skl,relation_dom(sK26_skl)) = relation_rng(sK26_skl),
inference(resolution,[status(thm)],[f253,f261]) ).
fof(f1253,plain,
( finite(relation_rng(sK26_skl))
| ~ finite(relation_dom(sK26_skl))
| ~ function(sK26_skl)
| ~ relation(sK26_skl) ),
inference(paramodulation,[status(thm)],[f1248,f108]) ).
fof(f1254,definition,
( sQ102_spl
<=> relation(sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1256,plain,
( sQ102_spl
| ~ relation(sK26_skl) ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,definition,
( sQ103_spl
<=> function(sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1259,plain,
( sQ103_spl
| ~ function(sK26_skl) ),
inference(component_clause,[status(thm)],[f1257]) ).
fof(f1260,definition,
( sQ104_spl
<=> finite(relation_dom(sK26_skl)) ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1262,plain,
( sQ104_spl
| ~ finite(relation_dom(sK26_skl)) ),
inference(component_clause,[status(thm)],[f1260]) ).
fof(f1263,definition,
( sQ105_spl
<=> finite(relation_rng(sK26_skl)) ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
( ~ sQ105_spl
| finite(relation_rng(sK26_skl)) ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1266,plain,
( sQ105_spl
| ~ sQ104_spl
| ~ sQ103_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f1253,f1254,f1257,f1260,f1263]) ).
fof(f1267,plain,
( ~ sQ105_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1264,f264]) ).
fof(f1268,plain,
~ sQ105_spl,
inference(contradiction_clause,[status(thm)],[f1267]) ).
fof(f1269,plain,
( sQ104_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1262,f263]) ).
fof(f1270,plain,
sQ104_spl,
inference(contradiction_clause,[status(thm)],[f1269]) ).
fof(f1271,plain,
( sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1256,f261]) ).
fof(f1272,plain,
sQ102_spl,
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1259,f262]) ).
fof(f1274,plain,
sQ103_spl,
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
$false,
inference(sat_refutation,[status(thm)],[f1266,f1268,f1270,f1272,f1274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.82 % Computer : n006.cluster.edu
% 0.14/10.82 % Model : x86_64 x86_64
% 0.14/10.82 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.82 % Memory : 8046.5625MB
% 0.14/10.82 % OS : Linux 6.8.0-71-generic
% 0.14/10.83 % CPULimit : 300
% 0.14/10.83 % WCLimit : 300
% 0.14/10.83 % DateTime : Mon Sep 21 06:09:26 UTC 2026
% 0.14/10.83 % CPUTime :
% 0.14/10.84 % Drodi V4.1.1
% 0.14/10.88 % Refutation found
% 0.14/10.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/10.92 % Elapsed time: 0.075119 seconds
% 0.18/10.92 % CPU time: 0.181854 seconds
% 0.18/10.92 % Total memory used: 86.265 MB
% 0.18/10.92 % Net memory used: 86.129 MB
%------------------------------------------------------------------------------