%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU303+3 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:45:08 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 35 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 29 ( 11 ~; 8 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 8 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t26_finset_1,plain,
! [A] :
( ( relation(A)
& function(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finset_1) ).
fof(t26_finset_1_negated,plain,
~ ! [A] :
( ( relation(A)
& function(A) )
=> ( finite(relation_dom(A))
=> finite(relation_rng(A)) ) ),
inference(negate_conjecture,[status(cth)],[t26_finset_1]) ).
cnf(138,plain,
relation(sK27),
inference(cnf,[status(esa)],[t26_finset_1_negated]) ).
cnf(l0,plain,
relation(sK27),
inference(instantiation,[status(thm)],[138]) ).
fof(fc13_finset_1,plain,
! [A,B] :
( ( relation(A)
& function(A)
& finite(B) )
=> finite(relation_image(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc13_finset_1) ).
cnf(25,plain,
( ~ function(X0)
| ~ finite(X1)
| ~ relation(X0)
| finite(relation_image(X0,X1)) ),
inference(cnf,[status(esa)],[fc13_finset_1]) ).
cnf(l1,plain,
( ~ function(sK27)
| ~ finite(relation_dom(sK27))
| ~ relation(sK27)
| finite(relation_image(sK27,relation_dom(sK27))) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(139,plain,
function(sK27),
inference(cnf,[status(esa)],[t26_finset_1_negated]) ).
cnf(l8,plain,
function(sK27),
inference(instantiation,[status(thm)],[139]) ).
cnf(141,plain,
~ finite(relation_rng(sK27)),
inference(cnf,[status(esa)],[t26_finset_1_negated]) ).
cnf(l10,plain,
~ finite(relation_rng(sK27)),
inference(instantiation,[status(thm)],[141]) ).
fof(t146_relat_1,plain,
! [A] :
( relation(A)
=> relation_image(A,relation_dom(A)) = relation_rng(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t146_relat_1) ).
cnf(135,plain,
( ~ relation(X0)
| relation_image(X0,relation_dom(X0)) = relation_rng(X0) ),
inference(cnf,[status(esa)],[t146_relat_1]) ).
cnf(l9,plain,
( ~ relation(sK27)
| relation_image(sK27,relation_dom(sK27)) = relation_rng(sK27) ),
inference(instantiation,[status(thm)],[135]) ).
cnf(140,plain,
finite(relation_dom(sK27)),
inference(cnf,[status(esa)],[t26_finset_1_negated]) ).
cnf(l2,plain,
finite(relation_dom(sK27)),
inference(instantiation,[status(thm)],[140]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l10,l9,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SEU303+3 : TPTP v9.0.0. Released v3.2.0.
% 0.09/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 00:41:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------