%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU382+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 : n018.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 03:45:20 PM UTC 2025
% Result : Theorem 5.70s 1.05s
% Output : CNFRefutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 23 unt; 0 def)
% Number of atoms : 72 ( 26 equ)
% Maximal formula atoms : 14 ( 1 avg)
% Number of connectives : 50 ( 16 ~; 12 |; 16 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-2 aty)
% Number of variables : 32 ( 4 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t4_waybel_7,plain,
! [A] : the_carrier(boole_POSet(A)) = powerset(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).
fof(t4_waybel_7_negated,plain,
~ ! [A] : the_carrier(boole_POSet(A)) = powerset(A),
inference(negate_conjecture,[status(cth)],[t4_waybel_7]) ).
cnf(244,plain,
the_carrier(boole_POSet(sK22)) != powerset(sK22),
inference(cnf,[status(esa)],[t4_waybel_7_negated]) ).
cnf(l0,plain,
the_carrier(boole_POSet(sK22)) != powerset(sK22),
inference(instantiation,[status(thm)],[244]) ).
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/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
cnf(141,plain,
( rel_str_of(X0,X1) != rel_str_of(X2,X3)
| ~ relation_of2(X1,X0,X0)
| X0 = X2 ),
inference(cnf,[status(esa)],[free_g1_orders_2]) ).
cnf(l1,plain,
( rel_str_of(the_carrier(boole_POSet(sK22)),the_InternalRel(boole_POSet(sK22))) != rel_str_of(powerset(sK22),inclusion_relation(powerset(sK22)))
| ~ relation_of2(the_InternalRel(boole_POSet(sK22)),the_carrier(boole_POSet(sK22)),the_carrier(boole_POSet(sK22)))
| the_carrier(boole_POSet(sK22)) = powerset(sK22) ),
inference(instantiation,[status(thm)],[141]) ).
fof(redefinition_m2_relset_1,plain,
! [A,B,C] :
( relation_of2_as_subset(C,A,B)
<=> relation_of2(C,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(236,plain,
( ~ relation_of2_as_subset(X0,X1,X2)
| relation_of2(X0,X1,X2) ),
inference(cnf,[status(esa)],[redefinition_m2_relset_1]) ).
cnf(l6,plain,
( ~ relation_of2_as_subset(the_InternalRel(incl_POSet(powerset(sK22))),the_carrier(incl_POSet(powerset(sK22))),the_carrier(incl_POSet(powerset(sK22))))
| relation_of2(the_InternalRel(incl_POSet(powerset(sK22))),the_carrier(incl_POSet(powerset(sK22))),the_carrier(incl_POSet(powerset(sK22)))) ),
inference(instantiation,[status(thm)],[236]) ).
fof(t4_yellow_1,plain,
! [A] : boole_POSet(A) = incl_POSet(powerset(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_yellow_1) ).
cnf(245,plain,
boole_POSet(X0) = incl_POSet(powerset(X0)),
inference(cnf,[status(esa)],[t4_yellow_1]) ).
cnf(l35,plain,
boole_POSet(sK22) = incl_POSet(powerset(sK22)),
inference(instantiation,[status(thm)],[245]) ).
fof(dt_u1_orders_2,plain,
! [A] :
( rel_str(A)
=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
cnf(74,plain,
( ~ rel_str(X0)
| relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)) ),
inference(cnf,[status(esa)],[dt_u1_orders_2]) ).
cnf(l29,plain,
( ~ rel_str(incl_POSet(powerset(sK22)))
| relation_of2_as_subset(the_InternalRel(incl_POSet(powerset(sK22))),the_carrier(incl_POSet(powerset(sK22))),the_carrier(incl_POSet(powerset(sK22)))) ),
inference(instantiation,[status(thm)],[74]) ).
cnf(l55,plain,
boole_POSet(sK22) = incl_POSet(powerset(sK22)),
inference(instantiation,[status(thm)],[245]) ).
fof(dt_k2_yellow_1,plain,
! [A] :
( strict_rel_str(incl_POSet(A))
& rel_str(incl_POSet(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
cnf(69,plain,
rel_str(incl_POSet(X0)),
inference(cnf,[status(esa)],[dt_k2_yellow_1]) ).
cnf(l37,plain,
rel_str(incl_POSet(powerset(sK22))),
inference(instantiation,[status(thm)],[69]) ).
cnf(l39,plain,
boole_POSet(sK22) = incl_POSet(powerset(sK22)),
inference(instantiation,[status(thm)],[245]) ).
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/sandbox/benchmark/theBenchmark.p',abstractness_v1_orders_2) ).
cnf(0,plain,
( ~ strict_rel_str(X0)
| ~ rel_str(X0)
| X0 = rel_str_of(the_carrier(X0),the_InternalRel(X0)) ),
inference(cnf,[status(esa)],[abstractness_v1_orders_2]) ).
cnf(l23,plain,
( ~ strict_rel_str(boole_POSet(sK22))
| ~ rel_str(boole_POSet(sK22))
| boole_POSet(sK22) = rel_str_of(the_carrier(boole_POSet(sK22)),the_InternalRel(boole_POSet(sK22))) ),
inference(instantiation,[status(thm)],[0]) ).
fof(fc1_waybel_1,plain,
! [A] :
( ~ empty_carrier(boole_POSet(A))
& strict_rel_str(boole_POSet(A))
& reflexive_relstr(boole_POSet(A))
& transitive_relstr(boole_POSet(A))
& antisymmetric_relstr(boole_POSet(A))
& with_suprema_relstr(boole_POSet(A))
& with_infima_relstr(boole_POSet(A))
& complete_relstr(boole_POSet(A))
& lower_bounded_relstr(boole_POSet(A))
& upper_bounded_relstr(boole_POSet(A))
& bounded_relstr(boole_POSet(A))
& up_complete_relstr(boole_POSet(A))
& join_complete_relstr(boole_POSet(A))
& distributive_relstr(boole_POSet(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel_1) ).
cnf(86,plain,
strict_rel_str(boole_POSet(X0)),
inference(cnf,[status(esa)],[fc1_waybel_1]) ).
cnf(l25,plain,
strict_rel_str(boole_POSet(sK22)),
inference(instantiation,[status(thm)],[86]) ).
cnf(l17,plain,
boole_POSet(sK22) = incl_POSet(powerset(sK22)),
inference(instantiation,[status(thm)],[245]) ).
fof(d1_yellow_1,plain,
! [A] : incl_POSet(A) = rel_str_of(A,inclusion_order(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow_1) ).
cnf(59,plain,
incl_POSet(X0) = rel_str_of(X0,inclusion_order(X0)),
inference(cnf,[status(esa)],[d1_yellow_1]) ).
cnf(l26,plain,
incl_POSet(powerset(sK22)) = rel_str_of(powerset(sK22),inclusion_order(powerset(sK22))),
inference(instantiation,[status(thm)],[59]) ).
fof(dt_k3_yellow_1,plain,
! [A] :
( strict_rel_str(boole_POSet(A))
& rel_str(boole_POSet(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
cnf(71,plain,
rel_str(boole_POSet(X0)),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
cnf(l36,plain,
rel_str(boole_POSet(sK22)),
inference(instantiation,[status(thm)],[71]) ).
fof(redefinition_k1_yellow_1,plain,
! [A] : inclusion_order(A) = inclusion_relation(A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_yellow_1) ).
cnf(235,plain,
inclusion_order(X0) = inclusion_relation(X0),
inference(cnf,[status(esa)],[redefinition_k1_yellow_1]) ).
cnf(l27,plain,
inclusion_order(powerset(sK22)) = inclusion_relation(powerset(sK22)),
inference(instantiation,[status(thm)],[235]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l35,l29,l55,l37,l39,l23,l25,l17,l26,l36,l27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU382+1 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 : Tue Jul 22 01:16:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.35 % launching worker at depth: 11
% 0.19/0.50 % launching worker at depth: 12
% 5.70/1.05 % SZS status Theorem for theBenchmark
% 5.70/1.05 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------