%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 : Fri Sep 25 02:51:39 PM UTC 2026
% Result : Theorem 14.95s 2.55s
% Output : Proof 14.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 53 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 19 ~; 15 |; 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 : 17 ( 0 sgn 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,axiom,
! [A] :
( relation(A)
=> relation_image(A,relation_dom(A)) = relation_rng(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t146_relat_1) ).
fof(f52_nnf,plain,
! [A] :
( relation_image(A,relation_dom(A)) = relation_rng(A)
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f52]) ).
fof(f52_sk,plain,
! [A] :
( relation_image(A,relation_dom(A)) = relation_rng(A)
| ~ relation(A) ),
inference(skolemisation,[status(esa)],[f52_nnf]) ).
cnf(c139,plain,
( relation_image(X0,relation_dom(X0)) = relation_rng(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f52_sk]) ).
fof(f55,conjecture,
! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f55_neg,negated_conjecture,
~ ! [A] :
( ( function(A)
& relation(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f55_nnf,plain,
? [A] :
( ~ finite(relation_rng(A))
& finite(relation_dom(A))
& function(A)
& relation(A) ),
inference(nnf_transformation,[status(thm)],[f55_neg]) ).
fof(f55_sk,plain,
( ~ finite(relation_rng(sk26))
& finite(relation_dom(sk26))
& function(sk26)
& relation(sk26) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk26])],[f55_nnf]) ).
cnf(c142,plain,
relation(sk26),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p644,plain,
relation_image(sk26,relation_dom(sk26)) = relation_rng(sk26),
inference(resolution,[status(thm)],[c139,c142]) ).
fof(f14,axiom,
! [A,B] :
( ( finite(B)
& function(A)
& relation(A) )
=> finite(relation_image(A,B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f14_nnf,plain,
! [A,B] :
( finite(relation_image(A,B))
| ~ finite(B)
| ~ function(A)
| ~ relation(A) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [A,B] :
( finite(relation_image(A,B))
| ~ finite(B)
| ~ function(A)
| ~ relation(A) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c29,plain,
( finite(relation_image(X0,X1))
| ~ finite(X1)
| ~ function(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p230,plain,
( finite(relation_image(sk26,X0))
| ~ finite(X0)
| ~ function(sk26) ),
inference(resolution,[status(thm)],[c29,c142]) ).
cnf(c143,plain,
function(sk26),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p247,plain,
( finite(relation_image(sk26,X0))
| ~ finite(X0) ),
inference(resolution,[status(thm)],[p230,c143]) ).
cnf(c144,plain,
finite(relation_dom(sk26)),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p248,plain,
finite(relation_image(sk26,relation_dom(sk26))),
inference(resolution,[status(thm)],[p247,c144]) ).
cnf(p645,plain,
finite(relation_rng(sk26)),
inference(demodulation,[status(thm)],[p644,p248]) ).
cnf(c145,plain,
~ finite(relation_rng(sk26)),
inference(cnf_transformation,[status(esa)],[f55_sk]) ).
cnf(p674,plain,
$false,
inference(resolution,[status(thm)],[p645,c145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU303+3 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 13:40:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 14.95/2.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.95/2.55 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------