%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM395+1 : 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 : n024.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 12:28:04 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 4 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 2 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t27_ordinal1,plain,
ordinal(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_ordinal1) ).
fof(t27_ordinal1_negated,plain,
~ ordinal(empty_set),
inference(negate_conjecture,[status(cth)],[t27_ordinal1]) ).
cnf(44,plain,
~ ordinal(empty_set),
inference(cnf,[status(esa)],[t27_ordinal1_negated]) ).
cnf(l0,plain,
~ ordinal(empty_set),
inference(instantiation,[status(thm)],[44]) ).
fof(d4_ordinal1,plain,
! [A] :
( ordinal(A)
<=> ( epsilon_transitive(A)
& epsilon_connected(A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_ordinal1) ).
cnf(47,plain,
( ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0)
| ordinal(X0) ),
inference(cnf,[status(esa)],[d4_ordinal1]) ).
cnf(l1,plain,
( ~ epsilon_transitive(empty_set)
| ~ epsilon_connected(empty_set)
| ordinal(empty_set) ),
inference(instantiation,[status(thm)],[47]) ).
fof(l18_ordinal1,plain,
( epsilon_transitive(empty_set)
& epsilon_connected(empty_set) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l18_ordinal1) ).
cnf(49,plain,
epsilon_connected(empty_set),
inference(cnf,[status(esa)],[l18_ordinal1]) ).
cnf(l3,plain,
epsilon_connected(empty_set),
inference(instantiation,[status(thm)],[49]) ).
cnf(48,plain,
epsilon_transitive(empty_set),
inference(cnf,[status(esa)],[l18_ordinal1]) ).
cnf(l2,plain,
epsilon_transitive(empty_set),
inference(instantiation,[status(thm)],[48]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM395+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 11:54:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------