%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU257+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 : n020.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 03:45:00 PM UTC 2025
% Result : Theorem 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 48 ( 15 unt; 0 def)
% Number of atoms : 123 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 132 ( 57 ~; 54 |; 4 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 38 ( 7 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t32_wellord1,plain,
! [A,B] :
( relation(B)
=> ( well_ordering(B)
=> well_ordering(relation_restriction(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t32_wellord1) ).
fof(t32_wellord1_negated,plain,
~ ! [A,B] :
( relation(B)
=> ( well_ordering(B)
=> well_ordering(relation_restriction(B,A)) ) ),
inference(negate_conjecture,[status(cth)],[t32_wellord1]) ).
cnf(15,plain,
relation(sK2),
inference(cnf,[status(esa)],[t32_wellord1_negated]) ).
cnf(l0,plain,
relation(sK2),
inference(instantiation,[status(thm)],[15]) ).
fof(t25_wellord1,plain,
! [A,B] :
( relation(B)
=> ( antisymmetric(B)
=> antisymmetric(relation_restriction(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_wellord1) ).
cnf(13,plain,
( ~ relation(X0)
| ~ antisymmetric(X0)
| antisymmetric(relation_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[t25_wellord1]) ).
cnf(l1,plain,
( ~ relation(sK2)
| ~ antisymmetric(sK2)
| antisymmetric(relation_restriction(sK2,set_intersection2(sK1,sK1))) ),
inference(instantiation,[status(thm)],[13]) ).
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(3,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| antisymmetric(X0) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
cnf(l3,plain,
( ~ relation(sK2)
| ~ well_ordering(sK2)
| antisymmetric(sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(16,plain,
well_ordering(sK2),
inference(cnf,[status(esa)],[t32_wellord1_negated]) ).
cnf(l7,plain,
well_ordering(sK2),
inference(instantiation,[status(thm)],[16]) ).
cnf(6,plain,
( ~ connected(X0)
| ~ well_founded_relation(X0)
| ~ relation(X0)
| ~ reflexive(X0)
| ~ transitive(X0)
| ~ antisymmetric(X0)
| well_ordering(X0) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
cnf(l2,plain,
( ~ connected(relation_restriction(sK2,set_intersection2(sK1,sK1)))
| ~ well_founded_relation(relation_restriction(sK2,set_intersection2(sK1,sK1)))
| ~ relation(relation_restriction(sK2,set_intersection2(sK1,sK1)))
| ~ reflexive(relation_restriction(sK2,set_intersection2(sK1,sK1)))
| ~ transitive(relation_restriction(sK2,set_intersection2(sK1,sK1)))
| ~ antisymmetric(relation_restriction(sK2,set_intersection2(sK1,sK1)))
| well_ordering(relation_restriction(sK2,set_intersection2(sK1,sK1))) ),
inference(instantiation,[status(thm)],[6]) ).
fof(t31_wellord1,plain,
! [A,B] :
( relation(B)
=> ( well_founded_relation(B)
=> well_founded_relation(relation_restriction(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_wellord1) ).
cnf(14,plain,
( ~ well_founded_relation(X0)
| ~ relation(X0)
| well_founded_relation(relation_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[t31_wellord1]) ).
cnf(l51,plain,
( ~ well_founded_relation(sK2)
| ~ relation(sK2)
| well_founded_relation(relation_restriction(sK2,set_intersection2(sK1,sK1))) ),
inference(instantiation,[status(thm)],[14]) ).
fof(t24_wellord1,plain,
! [A,B] :
( relation(B)
=> ( transitive(B)
=> transitive(relation_restriction(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_wellord1) ).
cnf(12,plain,
( ~ relation(X0)
| ~ transitive(X0)
| transitive(relation_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[t24_wellord1]) ).
cnf(l59,plain,
( ~ relation(sK2)
| ~ transitive(sK2)
| transitive(relation_restriction(sK2,set_intersection2(sK1,sK1))) ),
inference(instantiation,[status(thm)],[12]) ).
fof(t23_wellord1,plain,
! [A,B] :
( relation(B)
=> ( connected(B)
=> connected(relation_restriction(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_wellord1) ).
cnf(11,plain,
( ~ connected(X0)
| ~ relation(X0)
| connected(relation_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[t23_wellord1]) ).
cnf(l6,plain,
( ~ connected(sK2)
| ~ relation(sK2)
| connected(relation_restriction(sK2,set_intersection2(sK1,sK1))) ),
inference(instantiation,[status(thm)],[11]) ).
fof(dt_k2_wellord1,plain,
! [A,B] :
( relation(A)
=> relation(relation_restriction(A,B)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).
cnf(8,plain,
( ~ relation(X0)
| relation(relation_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
cnf(l37,plain,
( ~ relation(sK2)
| relation(relation_restriction(sK2,set_intersection2(set_intersection2(sK1,sK1),set_intersection2(sK1,sK1)))) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| connected(X0) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
cnf(l12,plain,
( ~ relation(sK2)
| ~ well_ordering(sK2)
| connected(sK2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| transitive(X0) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
cnf(l61,plain,
( ~ relation(sK2)
| ~ well_ordering(sK2)
| transitive(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l67,plain,
well_ordering(sK2),
inference(instantiation,[status(thm)],[16]) ).
cnf(5,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| well_founded_relation(X0) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
cnf(l52,plain,
( ~ relation(sK2)
| ~ well_ordering(sK2)
| well_founded_relation(sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(17,plain,
~ well_ordering(relation_restriction(sK2,sK1)),
inference(cnf,[status(esa)],[t32_wellord1_negated]) ).
cnf(l58,plain,
~ well_ordering(relation_restriction(sK2,sK1)),
inference(instantiation,[status(thm)],[17]) ).
fof(idempotence_k3_xboole_0,plain,
! [A,B] : set_intersection2(A,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
cnf(9,plain,
set_intersection2(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
cnf(l29,plain,
set_intersection2(set_intersection2(sK1,sK1),set_intersection2(sK1,sK1)) = set_intersection2(sK1,sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l20,plain,
well_ordering(sK2),
inference(instantiation,[status(thm)],[16]) ).
cnf(l53,plain,
well_ordering(sK2),
inference(instantiation,[status(thm)],[16]) ).
fof(t22_wellord1,plain,
! [A,B] :
( relation(B)
=> ( reflexive(B)
=> reflexive(relation_restriction(B,A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_wellord1) ).
cnf(10,plain,
( ~ relation(X0)
| ~ reflexive(X0)
| reflexive(relation_restriction(X0,X1)) ),
inference(cnf,[status(esa)],[t22_wellord1]) ).
cnf(l54,plain,
( ~ relation(sK2)
| ~ reflexive(sK2)
| reflexive(relation_restriction(sK2,set_intersection2(sK1,sK1))) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l76,plain,
set_intersection2(sK1,sK1) = sK1,
inference(instantiation,[status(thm)],[9]) ).
cnf(1,plain,
( ~ relation(X0)
| ~ well_ordering(X0)
| reflexive(X0) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
cnf(l65,plain,
( ~ relation(sK2)
| ~ well_ordering(sK2)
| reflexive(sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l69,plain,
well_ordering(sK2),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l7,l2,l51,l59,l6,l37,l12,l61,l67,l52,l58,l29,l20,l53,l54,l76,l65,l69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU257+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 00:19:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.37 % launching worker at depth: 11
% 0.19/0.43 % SZS status Theorem for theBenchmark
% 0.19/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------