%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU368+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 03:45:18 PM UTC 2025
% Result : Theorem 11.37s 1.77s
% Output : CNFRefutation 11.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 69 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 57 ( 22 ~; 19 |; 11 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 30 ( 4 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t1_yellow_1,plain,
! [A] :
( the_carrier(incl_POSet(A)) = A
& the_InternalRel(incl_POSet(A)) = inclusion_order(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_1) ).
fof(t1_yellow_1_negated,plain,
~ ! [A] :
( the_carrier(incl_POSet(A)) = A
& the_InternalRel(incl_POSet(A)) = inclusion_order(A) ),
inference(negate_conjecture,[status(cth)],[t1_yellow_1]) ).
cnf(79,plain,
( the_carrier(incl_POSet(sK14)) != sK14
| the_InternalRel(incl_POSet(sK14)) != inclusion_order(sK14) ),
inference(cnf,[status(esa)],[t1_yellow_1_negated]) ).
cnf(l0,plain,
( the_carrier(incl_POSet(sK14)) != sK14
| the_InternalRel(incl_POSet(sK14)) != inclusion_order(sK14) ),
inference(instantiation,[status(thm)],[79]) ).
fof(free_g1_orders_2,plain,
! [A,B] :
( relation_of2(B,A,A)
=> ! [C,D] :
( rel_str_of(A,B) = rel_str_of(C,D)
=> ( A = C
& B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
cnf(46,plain,
( ~ relation_of2(X0,X1,X1)
| rel_str_of(X1,X0) != rel_str_of(X2,X3)
| X0 = X3 ),
inference(cnf,[status(esa)],[free_g1_orders_2]) ).
cnf(l20,plain,
( ~ relation_of2(inclusion_order(sK14),sK14,sK14)
| rel_str_of(sK14,inclusion_order(sK14)) != rel_str_of(the_carrier(incl_POSet(sK14)),the_InternalRel(incl_POSet(sK14)))
| inclusion_order(sK14) = the_InternalRel(incl_POSet(sK14)) ),
inference(instantiation,[status(thm)],[46]) ).
cnf(45,plain,
( ~ relation_of2(X0,X1,X1)
| rel_str_of(X1,X0) != rel_str_of(X2,X3)
| X1 = X2 ),
inference(cnf,[status(esa)],[free_g1_orders_2]) ).
cnf(l3,plain,
( ~ relation_of2(inclusion_order(sK14),sK14,sK14)
| rel_str_of(sK14,inclusion_order(sK14)) != rel_str_of(the_carrier(incl_POSet(sK14)),the_InternalRel(incl_POSet(sK14)))
| sK14 = the_carrier(incl_POSet(sK14)) ),
inference(instantiation,[status(thm)],[45]) ).
fof(redefinition_m2_relset_1,plain,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
<=> relation_of2(C,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(51,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(l29,plain,
( ~ relation_of2_as_subset(inclusion_order(sK14),sK14,sK14)
| relation_of2(inclusion_order(sK14),sK14,sK14) ),
inference(instantiation,[status(thm)],[51]) ).
fof(dt_k1_yellow_1,plain,
! [A] :
( reflexive(inclusion_order(A))
& antisymmetric(inclusion_order(A))
& transitive(inclusion_order(A))
& v1_partfun1(inclusion_order(A),A,A)
& relation_of2_as_subset(inclusion_order(A),A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_yellow_1) ).
cnf(70,plain,
relation_of2_as_subset(inclusion_order(X0),X0,X0),
inference(cnf,[status(esa)],[dt_k1_yellow_1]) ).
cnf(l72,plain,
relation_of2_as_subset(inclusion_order(sK14),sK14,sK14),
inference(instantiation,[status(thm)],[70]) ).
fof(d1_yellow_1,plain,
! [A] : incl_POSet(A) = rel_str_of(A,inclusion_order(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_yellow_1) ).
cnf(78,plain,
incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
inference(cnf,[status(esa)],[d1_yellow_1]) ).
cnf(l130,plain,
incl_POSet(sK14) = rel_str_of(sK14,inclusion_order(sK14)),
inference(instantiation,[status(thm)],[78]) ).
fof(abstractness_v1_orders_2,plain,
! [A] :
( rel_str(A)
=> ( strict_rel_str(A)
=> A = rel_str_of(the_carrier(A),the_InternalRel(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
cnf(47,plain,
( ~ rel_str(X0)
| ~ strict_rel_str(X0)
| X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0)) ),
inference(cnf,[status(esa)],[abstractness_v1_orders_2]) ).
cnf(l40,plain,
( ~ rel_str(incl_POSet(sK14))
| ~ strict_rel_str(incl_POSet(sK14))
| incl_POSet(sK14) = rel_str_of(the_carrier(incl_POSet(sK14)),the_InternalRel(incl_POSet(sK14))) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(l6,plain,
( ~ relation_of2_as_subset(inclusion_order(sK14),sK14,sK14)
| relation_of2(inclusion_order(sK14),sK14,sK14) ),
inference(instantiation,[status(thm)],[51]) ).
cnf(l61,plain,
incl_POSet(sK14) = rel_str_of(sK14,inclusion_order(sK14)),
inference(instantiation,[status(thm)],[78]) ).
fof(dt_k2_yellow_1,plain,
! [A] :
( strict_rel_str(incl_POSet(A))
& rel_str(incl_POSet(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
cnf(72,plain,
rel_str(incl_POSet(X0)),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
cnf(l47,plain,
rel_str(incl_POSet(sK14)),
inference(instantiation,[status(thm)],[72]) ).
cnf(l50,plain,
( ~ rel_str(incl_POSet(sK14))
| ~ strict_rel_str(incl_POSet(sK14))
| incl_POSet(sK14) = rel_str_of(the_carrier(incl_POSet(sK14)),the_InternalRel(incl_POSet(sK14))) ),
inference(instantiation,[status(thm)],[47]) ).
cnf(l65,plain,
rel_str(incl_POSet(sK14)),
inference(instantiation,[status(thm)],[72]) ).
fof(fc5_yellow_1,plain,
! [A] :
( strict_rel_str(incl_POSet(A))
& reflexive_relstr(incl_POSet(A))
& transitive_relstr(incl_POSet(A))
& antisymmetric_relstr(incl_POSet(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_1) ).
cnf(74,plain,
strict_rel_str(incl_POSet(X0)),
inference(cnf,[status(esa)],[fc5_yellow_1]) ).
cnf(l83,plain,
strict_rel_str(incl_POSet(sK14)),
inference(instantiation,[status(thm)],[74]) ).
cnf(l137,plain,
relation_of2_as_subset(inclusion_order(sK14),sK14,sK14),
inference(instantiation,[status(thm)],[70]) ).
cnf(l54,plain,
strict_rel_str(incl_POSet(sK14)),
inference(instantiation,[status(thm)],[74]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l20,l3,l29,l72,l130,l40,l6,l61,l47,l50,l65,l83,l137,l54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU368+1 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.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 01:10:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 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: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 1.72/0.54 % launching worker at depth: 12
% 11.37/1.77 % SZS status Theorem for theBenchmark
% 11.37/1.77 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------