%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU275+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 03:45:03 PM UTC 2025
% Result : Theorem 0.13s 0.29s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 17 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 45 ( 19 ~; 16 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 16 ( 4 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t7_wellord2,plain,
! [A] :
( ordinal(A)
=> well_ordering(inclusion_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_wellord2) ).
fof(t7_wellord2_negated,plain,
~ ! [A] :
( ordinal(A)
=> well_ordering(inclusion_relation(A)) ),
inference(negate_conjecture,[status(cth)],[t7_wellord2]) ).
cnf(18,plain,
ordinal(sK2),
inference(cnf,[status(esa)],[t7_wellord2_negated]) ).
cnf(l0,plain,
ordinal(sK2),
inference(instantiation,[status(thm)],[18]) ).
fof(t6_wellord2,plain,
! [A] :
( ordinal(A)
=> well_founded_relation(inclusion_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_wellord2) ).
cnf(17,plain,
( ~ ordinal(X0)
| well_founded_relation(inclusion_relation(X0)) ),
inference(cnf,[status(esa)],[t6_wellord2]) ).
cnf(l1,plain,
( ~ ordinal(sK2)
| well_founded_relation(inclusion_relation(sK2)) ),
inference(instantiation,[status(thm)],[17]) ).
fof(d4_wellord1,plain,
! [A] :
( relation(A)
=> ( well_ordering(A)
<=> ( reflexive(A)
& transitive(A)
& antisymmetric(A)
& connected(A)
& well_founded_relation(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(8,plain,
( ~ antisymmetric(X0)
| ~ connected(X0)
| ~ well_founded_relation(X0)
| ~ relation(X0)
| ~ reflexive(X0)
| ~ transitive(X0)
| well_ordering(X0) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
cnf(l2,plain,
( ~ antisymmetric(inclusion_relation(sK2))
| ~ connected(inclusion_relation(sK2))
| ~ well_founded_relation(inclusion_relation(sK2))
| ~ relation(inclusion_relation(sK2))
| ~ reflexive(inclusion_relation(sK2))
| ~ transitive(inclusion_relation(sK2))
| well_ordering(inclusion_relation(sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(t5_wellord2,plain,
! [A] : antisymmetric(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).
cnf(16,plain,
antisymmetric(inclusion_relation(X0)),
inference(cnf,[status(esa)],[t5_wellord2]) ).
cnf(l3,plain,
antisymmetric(inclusion_relation(sK2)),
inference(instantiation,[status(thm)],[16]) ).
fof(t2_wellord2,plain,
! [A] : reflexive(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_wellord2) ).
cnf(13,plain,
reflexive(inclusion_relation(X0)),
inference(cnf,[status(esa)],[t2_wellord2]) ).
cnf(l4,plain,
reflexive(inclusion_relation(sK2)),
inference(instantiation,[status(thm)],[13]) ).
fof(t4_wellord2,plain,
! [A] :
( ordinal(A)
=> connected(inclusion_relation(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_wellord2) ).
cnf(15,plain,
( ~ ordinal(X0)
| connected(inclusion_relation(X0)) ),
inference(cnf,[status(esa)],[t4_wellord2]) ).
cnf(l7,plain,
( ~ ordinal(sK2)
| connected(inclusion_relation(sK2)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(19,plain,
~ well_ordering(inclusion_relation(sK2)),
inference(cnf,[status(esa)],[t7_wellord2_negated]) ).
cnf(l5,plain,
~ well_ordering(inclusion_relation(sK2)),
inference(instantiation,[status(thm)],[19]) ).
fof(dt_k1_wellord2,plain,
! [A] : relation(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
cnf(9,plain,
relation(inclusion_relation(X0)),
inference(cnf,[status(esa)],[dt_k1_wellord2]) ).
cnf(l6,plain,
relation(inclusion_relation(sK2)),
inference(instantiation,[status(thm)],[9]) ).
fof(t3_wellord2,plain,
! [A] : transitive(inclusion_relation(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_wellord2) ).
cnf(14,plain,
transitive(inclusion_relation(X0)),
inference(cnf,[status(esa)],[t3_wellord2]) ).
cnf(l8,plain,
transitive(inclusion_relation(sK2)),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l7,l5,l6,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU275+1 : TPTP v9.0.0. Released v3.3.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n029.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jul 22 00:27:04 EDT 2025
% 0.13/0.29 % CPUTime :
% 0.13/0.29 % launching worker at depth: 2
% 0.13/0.29 % launching worker at depth: 1
% 0.13/0.29 % launching worker at depth: 3
% 0.13/0.29 % launching worker at depth: 8
% 0.13/0.29 % launching worker at depth: 4
% 0.13/0.29 % launching worker at depth: 5
% 0.13/0.29 % launching worker at depth: 6
% 0.13/0.29 % launching worker at depth: 7
% 0.13/0.29 % launching worker at depth: 9
% 0.13/0.29 % SZS status Theorem for theBenchmark
% 0.13/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------