%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU371+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 : n028.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 74.04s 9.70s
% Output : CNFRefutation 74.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 25 unt; 0 def)
% Number of atoms : 98 ( 20 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 84 ( 25 ~; 18 |; 38 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 7 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_yellow_1,plain,
! [A] : bottom_of_relstr(boole_POSet(A)) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_yellow_1) ).
fof(t18_yellow_1_negated,plain,
~ ! [A] : bottom_of_relstr(boole_POSet(A)) = empty_set,
inference(negate_conjecture,[status(cth)],[t18_yellow_1]) ).
cnf(343,plain,
bottom_of_relstr(boole_POSet(sK30)) != empty_set,
inference(cnf,[status(esa)],[t18_yellow_1_negated]) ).
cnf(l0,plain,
bottom_of_relstr(boole_POSet(sK30)) != empty_set,
inference(instantiation,[status(thm)],[343]) ).
fof(t3_lattice3,plain,
! [A] :
( lower_bounded_semilattstr(boole_lattice(A))
& bottom_of_semilattstr(boole_lattice(A)) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_lattice3) ).
cnf(351,plain,
bottom_of_semilattstr(boole_lattice(X0)) = empty_set,
inference(cnf,[status(esa)],[t3_lattice3]) ).
cnf(l29,plain,
bottom_of_semilattstr(boole_lattice(sK30)) = empty_set,
inference(instantiation,[status(thm)],[351]) ).
fof(t50_lattice3,plain,
! [A] :
( ( ~ empty_carrier(A)
& lattice(A)
& complete_latt_str(A)
& latt_str(A) )
=> ( ~ empty_carrier(A)
& lattice(A)
& lower_bounded_semilattstr(A)
& latt_str(A)
& bottom_of_semilattstr(A) = join_of_latt_set(A,empty_set) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_lattice3) ).
cnf(356,plain,
( ~ latt_str(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| bottom_of_semilattstr(X0) = join_of_latt_set(X0,empty_set)
| empty_carrier(X0) ),
inference(cnf,[status(esa)],[t50_lattice3]) ).
cnf(l16,plain,
( ~ latt_str(boole_lattice(sK30))
| ~ lattice(boole_lattice(sK30))
| ~ complete_latt_str(boole_lattice(sK30))
| bottom_of_semilattstr(boole_lattice(sK30)) = join_of_latt_set(boole_lattice(sK30),empty_set)
| empty_carrier(boole_lattice(sK30)) ),
inference(instantiation,[status(thm)],[356]) ).
fof(fc1_knaster,plain,
! [A] :
( ~ empty_carrier(boole_lattice(A))
& strict_latt_str(boole_lattice(A))
& join_commutative(boole_lattice(A))
& join_associative(boole_lattice(A))
& meet_commutative(boole_lattice(A))
& meet_associative(boole_lattice(A))
& meet_absorbing(boole_lattice(A))
& join_absorbing(boole_lattice(A))
& lattice(boole_lattice(A))
& distributive_lattstr(boole_lattice(A))
& modular_lattstr(boole_lattice(A))
& lower_bounded_semilattstr(boole_lattice(A))
& upper_bounded_semilattstr(boole_lattice(A))
& bounded_lattstr(boole_lattice(A))
& complemented_lattstr(boole_lattice(A))
& boolean_lattstr(boole_lattice(A))
& complete_latt_str(boole_lattice(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_knaster) ).
cnf(110,plain,
complete_latt_str(boole_lattice(X0)),
inference(cnf,[status(esa)],[fc1_knaster]) ).
cnf(l22,plain,
complete_latt_str(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[110]) ).
cnf(94,plain,
~ empty_carrier(boole_lattice(X0)),
inference(cnf,[status(esa)],[fc1_knaster]) ).
cnf(l28,plain,
~ empty_carrier(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[94]) ).
fof(dt_k1_lattice3,plain,
! [A] :
( strict_latt_str(boole_lattice(A))
& latt_str(boole_lattice(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
cnf(55,plain,
latt_str(boole_lattice(X0)),
inference(cnf,[status(esa)],[dt_k1_lattice3]) ).
cnf(l18,plain,
latt_str(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[55]) ).
fof(d11_yellow_0,plain,
! [A] :
( rel_str(A)
=> bottom_of_relstr(A) = join_on_relstr(A,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_yellow_0) ).
cnf(44,plain,
( ~ rel_str(X0)
| bottom_of_relstr(X0) = join_on_relstr(X0,empty_set) ),
inference(cnf,[status(esa)],[d11_yellow_0]) ).
cnf(l4,plain,
( ~ rel_str(boole_POSet(sK30))
| bottom_of_relstr(boole_POSet(sK30)) = join_on_relstr(boole_POSet(sK30),empty_set) ),
inference(instantiation,[status(thm)],[44]) ).
fof(d2_yellow_1,plain,
! [A] : boole_POSet(A) = poset_of_lattice(boole_lattice(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_yellow_1) ).
cnf(47,plain,
boole_POSet(X0) = poset_of_lattice(boole_lattice(X0)),
inference(cnf,[status(esa)],[d2_yellow_1]) ).
cnf(l141,plain,
boole_POSet(sK30) = poset_of_lattice(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[47]) ).
fof(dt_k3_yellow_1,plain,
! [A] :
( strict_rel_str(boole_POSet(A))
& rel_str(boole_POSet(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
cnf(70,plain,
rel_str(boole_POSet(X0)),
inference(cnf,[status(esa)],[dt_k3_yellow_1]) ).
cnf(l7,plain,
rel_str(boole_POSet(sK30)),
inference(instantiation,[status(thm)],[70]) ).
fof(t29_yellow_0,plain,
! [A] :
( ( ~ empty_carrier(A)
& lattice(A)
& complete_latt_str(A)
& latt_str(A) )
=> ! [B] :
( join_of_latt_set(A,B) = join_on_relstr(poset_of_lattice(A),B)
& meet_of_latt_set(A,B) = meet_on_relstr(poset_of_lattice(A),B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_yellow_0) ).
cnf(345,plain,
( ~ latt_str(X0)
| ~ lattice(X0)
| ~ complete_latt_str(X0)
| join_of_latt_set(X0,X1) = join_on_relstr(poset_of_lattice(X0),X1)
| empty_carrier(X0) ),
inference(cnf,[status(esa)],[t29_yellow_0]) ).
cnf(l9,plain,
( ~ latt_str(boole_lattice(sK30))
| ~ lattice(boole_lattice(sK30))
| ~ complete_latt_str(boole_lattice(sK30))
| join_of_latt_set(boole_lattice(sK30),empty_set) = join_on_relstr(poset_of_lattice(boole_lattice(sK30)),empty_set)
| empty_carrier(boole_lattice(sK30)) ),
inference(instantiation,[status(thm)],[345]) ).
cnf(l61,plain,
~ empty_carrier(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[94]) ).
cnf(l10,plain,
latt_str(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[55]) ).
fof(fc2_lattice3,plain,
! [A] :
( ~ empty_carrier(boole_lattice(A))
& strict_latt_str(boole_lattice(A))
& join_commutative(boole_lattice(A))
& join_associative(boole_lattice(A))
& meet_commutative(boole_lattice(A))
& meet_associative(boole_lattice(A))
& meet_absorbing(boole_lattice(A))
& join_absorbing(boole_lattice(A))
& lattice(boole_lattice(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_lattice3) ).
cnf(133,plain,
lattice(boole_lattice(X0)),
inference(cnf,[status(esa)],[fc2_lattice3]) ).
cnf(l12,plain,
lattice(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[133]) ).
cnf(102,plain,
lattice(boole_lattice(X0)),
inference(cnf,[status(esa)],[fc1_knaster]) ).
cnf(l20,plain,
lattice(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[102]) ).
cnf(l160,plain,
complete_latt_str(boole_lattice(sK30)),
inference(instantiation,[status(thm)],[110]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l29,l16,l22,l28,l18,l4,l141,l7,l9,l61,l10,l12,l20,l160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU371+1 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.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 01:11:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.19/0.40 % launching worker at depth: 11
% 3.87/0.89 % launching worker at depth: 12
% 74.04/9.70 % SZS status Theorem for theBenchmark
% 74.04/9.70 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------