TSTP Solution File: SEU348+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU348+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 : 600s
% DateTime : Tue Jul 19 14:36:29 EDT 2022
% Result : Theorem 211.91s 212.12s
% Output : Refutation 214.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 44
% Syntax : Number of clauses : 105 ( 39 unt; 30 nHn; 105 RR)
% Number of literals : 239 ( 0 equ; 119 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
latt_str(skc38),
file('SEU348+2.p',unknown),
[] ).
cnf(2,axiom,
lattice(skc38),
file('SEU348+2.p',unknown),
[] ).
cnf(12,axiom,
epsilon_transitive(omega),
file('SEU348+2.p',unknown),
[] ).
cnf(13,axiom,
epsilon_connected(omega),
file('SEU348+2.p',unknown),
[] ).
cnf(14,axiom,
ordinal(omega),
file('SEU348+2.p',unknown),
[] ).
cnf(56,axiom,
empty(skc353),
file('SEU348+2.p',unknown),
[] ).
cnf(106,axiom,
~ empty_carrier(skc38),
file('SEU348+2.p',unknown),
[] ).
cnf(107,axiom,
relation(skf338(u)),
file('SEU348+2.p',unknown),
[] ).
cnf(171,axiom,
element(skf433(u),u),
file('SEU348+2.p',unknown),
[] ).
cnf(195,axiom,
equal(relation_dom(empty_set),empty_set),
file('SEU348+2.p',unknown),
[] ).
cnf(198,axiom,
element(skc39,the_carrier(poset_of_lattice(skc38))),
file('SEU348+2.p',unknown),
[] ).
cnf(204,axiom,
( ~ empty(u)
| finite(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(228,axiom,
( ~ meet_semilatt_str(u)
| one_sorted_str(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(231,axiom,
( ~ join_semilatt_str(u)
| one_sorted_str(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(232,axiom,
( ~ latt_str(u)
| meet_semilatt_str(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(233,axiom,
( ~ latt_str(u)
| join_semilatt_str(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(234,axiom,
~ empty(ordered_pair(u,v)),
file('SEU348+2.p',unknown),
[] ).
cnf(269,axiom,
( ~ element(u,omega)
| epsilon_transitive(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(275,axiom,
( ~ finite(u)
| function(skf338(u)) ),
file('SEU348+2.p',unknown),
[] ).
cnf(282,axiom,
( relation(u)
| in(skf353(u),u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(341,axiom,
( ~ empty(u)
| equal(u,empty_set) ),
file('SEU348+2.p',unknown),
[] ).
cnf(438,axiom,
( ~ in(u,v)
| element(u,v) ),
file('SEU348+2.p',unknown),
[] ).
cnf(451,axiom,
( ~ finite(u)
| equal(relation_rng(skf338(u)),u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(452,axiom,
( ~ finite(u)
| in(relation_dom(skf338(u)),omega) ),
file('SEU348+2.p',unknown),
[] ).
cnf(454,axiom,
( ~ in(u,v)
| ~ equal(v,empty_set) ),
file('SEU348+2.p',unknown),
[] ).
cnf(507,axiom,
( ~ one_sorted_str(u)
| equal(cast_as_carrier_subset(u),the_carrier(u)) ),
file('SEU348+2.p',unknown),
[] ).
cnf(545,axiom,
( ~ one_sorted_str(u)
| ~ empty_carrier(u)
| empty(the_carrier(u)) ),
file('SEU348+2.p',unknown),
[] ).
cnf(569,axiom,
( ~ one_sorted_str(u)
| ~ empty(cast_as_carrier_subset(u))
| empty_carrier(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(572,axiom,
( ~ relation(u)
| ~ empty(relation_rng(u))
| empty(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(594,axiom,
( ~ element(u,v)
| empty(v)
| in(u,v) ),
file('SEU348+2.p',unknown),
[] ).
cnf(624,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_commutative(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(625,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_associative(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(626,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_commutative(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(627,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_associative(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(628,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_absorbing(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(629,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_absorbing(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(732,axiom,
( relstr_element_smaller(poset_of_lattice(skc38),skc40,skc39)
| latt_set_smaller(skc38,cast_to_el_of_lattice(skc38,skc39),skc40) ),
file('SEU348+2.p',unknown),
[] ).
cnf(879,axiom,
( ~ relstr_element_smaller(poset_of_lattice(skc38),skc40,skc39)
| ~ latt_set_smaller(skc38,cast_to_el_of_lattice(skc38,skc39),skc40) ),
file('SEU348+2.p',unknown),
[] ).
cnf(949,axiom,
( ~ relation(u)
| ~ in(v,u)
| equal(ordered_pair(skf350(v),skf349(v)),v) ),
file('SEU348+2.p',unknown),
[] ).
cnf(1133,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ element(v,the_carrier(u))
| empty_carrier(u)
| equal(cast_to_el_of_LattPOSet(u,v),v) ),
file('SEU348+2.p',unknown),
[] ).
cnf(1188,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ element(v,the_carrier(poset_of_lattice(u)))
| empty_carrier(u)
| equal(cast_to_el_of_lattice(u,v),v) ),
file('SEU348+2.p',unknown),
[] ).
cnf(1225,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ element(v,the_carrier(poset_of_lattice(u)))
| element(cast_to_el_of_lattice(u,v),the_carrier(u))
| empty_carrier(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(1400,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ relstr_element_smaller(poset_of_lattice(u),v,cast_to_el_of_LattPOSet(u,w))
| ~ element(w,the_carrier(u))
| latt_set_smaller(u,w,v)
| empty_carrier(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(1401,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ latt_set_smaller(u,v,w)
| ~ element(v,the_carrier(u))
| relstr_element_smaller(poset_of_lattice(u),w,cast_to_el_of_LattPOSet(u,v))
| empty_carrier(u) ),
file('SEU348+2.p',unknown),
[] ).
cnf(1650,plain,
( ~ one_sorted_str(u)
| ~ empty(the_carrier(u))
| empty_carrier(u) ),
inference(rew,[status(thm),theory(equality)],[507,569]),
[iquote('0:Rew:507.1,569.1')] ).
cnf(1737,plain,
( ~ lattice(u)
| ~ latt_str(u)
| ~ element(v,the_carrier(poset_of_lattice(u)))
| empty_carrier(u)
| element(v,the_carrier(u)) ),
inference(rew,[status(thm),theory(equality)],[1188,1225]),
[iquote('0:Rew:1188.4,1225.3')] ).
cnf(1787,plain,
( ~ lattice(u)
| ~ latt_str(u)
| ~ element(v,the_carrier(u))
| ~ relstr_element_smaller(poset_of_lattice(u),w,v)
| empty_carrier(u)
| latt_set_smaller(u,v,w) ),
inference(rew,[status(thm),theory(equality)],[1133,1400]),
[iquote('0:Rew:1133.4,1400.2')] ).
cnf(1788,plain,
( ~ lattice(u)
| ~ latt_str(u)
| ~ element(v,the_carrier(u))
| ~ latt_set_smaller(u,v,w)
| empty_carrier(u)
| relstr_element_smaller(poset_of_lattice(u),w,v) ),
inference(rew,[status(thm),theory(equality)],[1133,1401]),
[iquote('0:Rew:1133.4,1401.4')] ).
cnf(1907,plain,
( ~ latt_str(skc38)
| join_commutative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,624]),
[iquote('0:Res:2.0,624.1')] ).
cnf(1908,plain,
( ~ latt_str(skc38)
| join_associative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,625]),
[iquote('0:Res:2.0,625.1')] ).
cnf(1909,plain,
( ~ latt_str(skc38)
| meet_commutative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,626]),
[iquote('0:Res:2.0,626.1')] ).
cnf(1910,plain,
( ~ latt_str(skc38)
| meet_associative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,627]),
[iquote('0:Res:2.0,627.1')] ).
cnf(1911,plain,
( ~ latt_str(skc38)
| meet_absorbing(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,628]),
[iquote('0:Res:2.0,628.1')] ).
cnf(1912,plain,
( ~ latt_str(skc38)
| join_absorbing(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,629]),
[iquote('0:Res:2.0,629.1')] ).
cnf(1968,plain,
meet_semilatt_str(skc38),
inference(res,[status(thm),theory(equality)],[1,232]),
[iquote('0:Res:1.0,232.0')] ).
cnf(1969,plain,
join_semilatt_str(skc38),
inference(res,[status(thm),theory(equality)],[1,233]),
[iquote('0:Res:1.0,233.0')] ).
cnf(2070,plain,
( ~ one_sorted_str(skc38)
| ~ empty(the_carrier(skc38)) ),
inference(res,[status(thm),theory(equality)],[1650,106]),
[iquote('0:Res:1650.2,106.0')] ).
cnf(2146,plain,
( ~ latt_str(skc38)
| ~ lattice(skc38)
| element(skc39,the_carrier(skc38))
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[198,1737]),
[iquote('0:Res:198.0,1737.2')] ).
cnf(2147,plain,
( ~ lattice(skc38)
| ~ latt_str(skc38)
| empty_carrier(skc38)
| equal(cast_to_el_of_lattice(skc38,skc39),skc39) ),
inference(res,[status(thm),theory(equality)],[198,1188]),
[iquote('0:Res:198.0,1188.2')] ).
cnf(2195,plain,
join_commutative(skc38),
inference(mrr,[status(thm)],[1907,1,106]),
[iquote('0:MRR:1907.0,1907.2,1.0,106.0')] ).
cnf(2196,plain,
join_associative(skc38),
inference(mrr,[status(thm)],[1908,1,106]),
[iquote('0:MRR:1908.0,1908.2,1.0,106.0')] ).
cnf(2197,plain,
meet_commutative(skc38),
inference(mrr,[status(thm)],[1909,1,106]),
[iquote('0:MRR:1909.0,1909.2,1.0,106.0')] ).
cnf(2198,plain,
meet_associative(skc38),
inference(mrr,[status(thm)],[1910,1,106]),
[iquote('0:MRR:1910.0,1910.2,1.0,106.0')] ).
cnf(2199,plain,
meet_absorbing(skc38),
inference(mrr,[status(thm)],[1911,1,106]),
[iquote('0:MRR:1911.0,1911.2,1.0,106.0')] ).
cnf(2200,plain,
join_absorbing(skc38),
inference(mrr,[status(thm)],[1912,1,106]),
[iquote('0:MRR:1912.0,1912.2,1.0,106.0')] ).
cnf(2226,plain,
element(skc39,the_carrier(skc38)),
inference(mrr,[status(thm)],[2146,1,2,106]),
[iquote('0:MRR:2146.0,2146.1,2146.3,1.0,2.0,106.0')] ).
cnf(2228,plain,
equal(cast_to_el_of_lattice(skc38,skc39),skc39),
inference(mrr,[status(thm)],[2147,2,1,106]),
[iquote('0:MRR:2147.0,2147.1,2147.2,2.0,1.0,106.0')] ).
cnf(2229,plain,
( ~ latt_set_smaller(skc38,skc39,skc40)
| ~ relstr_element_smaller(poset_of_lattice(skc38),skc40,skc39) ),
inference(rew,[status(thm),theory(equality)],[2228,879]),
[iquote('0:Rew:2228.0,879.1')] ).
cnf(2230,plain,
( latt_set_smaller(skc38,skc39,skc40)
| relstr_element_smaller(poset_of_lattice(skc38),skc40,skc39) ),
inference(rew,[status(thm),theory(equality)],[2228,732]),
[iquote('0:Rew:2228.0,732.1')] ).
cnf(2499,plain,
equal(empty_set,skc353),
inference(ems,[status(thm)],[341,56]),
[iquote('0:EmS:341.0,56.0')] ).
cnf(2519,plain,
equal(relation_dom(skc353),skc353),
inference(rew,[status(thm),theory(equality)],[2499,195]),
[iquote('0:Rew:2499.0,195.0')] ).
cnf(2530,plain,
( ~ empty(u)
| equal(u,skc353) ),
inference(rew,[status(thm),theory(equality)],[2499,341]),
[iquote('0:Rew:2499.0,341.1')] ).
cnf(2569,plain,
( ~ in(u,v)
| ~ equal(v,skc353) ),
inference(rew,[status(thm),theory(equality)],[2499,454]),
[iquote('0:Rew:2499.0,454.1')] ).
cnf(2769,plain,
( ~ join_semilatt_str(skc38)
| ~ empty(the_carrier(skc38)) ),
inference(sor,[status(thm)],[2070,231]),
[iquote('0:SoR:2070.0,231.1')] ).
cnf(2772,plain,
~ empty(the_carrier(skc38)),
inference(ssi,[status(thm)],[2769,2,1,2198,2196,2200,2199,2195,2197,1969,1968]),
[iquote('0:SSi:2769.0,2.0,1.0,2198.0,2196.0,2200.0,2199.0,2195.0,2197.0,1969.0,1968.0')] ).
cnf(3100,plain,
( ~ in(u,omega)
| epsilon_transitive(u) ),
inference(res,[status(thm),theory(equality)],[438,269]),
[iquote('0:Res:438.1,269.0')] ).
cnf(3140,plain,
( relation(omega)
| epsilon_transitive(skf353(omega)) ),
inference(res,[status(thm),theory(equality)],[282,3100]),
[iquote('0:Res:282.1,3100.0')] ).
cnf(3145,plain,
relation(omega),
inference(spt,[spt(split,[position(s1)])],[3140]),
[iquote('1:Spt:3140.0')] ).
cnf(4057,plain,
( ~ one_sorted_str(skc38)
| ~ empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[545,2772]),
[iquote('0:Res:545.2,2772.0')] ).
cnf(4058,plain,
~ empty_carrier(skc38),
inference(ssi,[status(thm)],[4057,228,2,1,2198,2196,2200,2199,2195,2197,1969,1968]),
[iquote('0:SSi:4057.0,228.0,2.0,1.0,2198.0,2196.0,2200.0,2199.0,2195.0,2197.0,1969.0,1968.1')] ).
cnf(4080,plain,
( ~ finite(u)
| ~ relation(skf338(u))
| ~ empty(u)
| empty(skf338(u)) ),
inference(spl,[status(thm),theory(equality)],[451,572]),
[iquote('0:SpL:451.1,572.1')] ).
cnf(4083,plain,
( ~ empty(u)
| empty(skf338(u)) ),
inference(ssi,[status(thm)],[4080,107,275,204]),
[iquote('0:SSi:4080.1,4080.0,107.1,275.1,204.1,204.0')] ).
cnf(4117,plain,
( ~ empty(u)
| equal(skf338(u),skc353) ),
inference(ems,[status(thm)],[2530,4083]),
[iquote('0:EmS:2530.0,4083.1')] ).
cnf(4156,plain,
( ~ finite(u)
| ~ empty(u)
| in(relation_dom(skc353),omega) ),
inference(spr,[status(thm),theory(equality)],[4117,452]),
[iquote('0:SpR:4117.1,452.1')] ).
cnf(4167,plain,
( ~ finite(u)
| ~ empty(u)
| in(skc353,omega) ),
inference(rew,[status(thm),theory(equality)],[2519,4156]),
[iquote('0:Rew:2519.0,4156.2')] ).
cnf(4168,plain,
( ~ empty(u)
| in(skc353,omega) ),
inference(ssi,[status(thm)],[4167,204]),
[iquote('0:SSi:4167.0,204.1')] ).
cnf(4170,plain,
in(skc353,omega),
inference(res,[status(thm),theory(equality)],[56,4168]),
[iquote('0:Res:56.0,4168.0')] ).
cnf(5955,plain,
( empty(u)
| in(skf433(u),u) ),
inference(res,[status(thm),theory(equality)],[171,594]),
[iquote('0:Res:171.0,594.0')] ).
cnf(6206,plain,
( ~ equal(u,skc353)
| empty(u) ),
inference(res,[status(thm),theory(equality)],[5955,2569]),
[iquote('0:Res:5955.1,2569.0')] ).
cnf(6306,plain,
~ equal(ordered_pair(u,v),skc353),
inference(res,[status(thm),theory(equality)],[6206,234]),
[iquote('0:Res:6206.1,234.0')] ).
cnf(15723,plain,
( ~ relation(omega)
| equal(ordered_pair(skf350(skc353),skf349(skc353)),skc353) ),
inference(res,[status(thm),theory(equality)],[4170,949]),
[iquote('0:Res:4170.0,949.1')] ).
cnf(15934,plain,
equal(ordered_pair(skf350(skc353),skf349(skc353)),skc353),
inference(ssi,[status(thm)],[15723,12,13,14,3145]),
[iquote('1:SSi:15723.0,12.0,13.0,14.0,3145.0')] ).
cnf(15935,plain,
$false,
inference(mrr,[status(thm)],[15934,6306]),
[iquote('1:MRR:15934.0,6306.0')] ).
cnf(15963,plain,
~ relation(omega),
inference(spt,[spt(split,[position(sa)])],[15935,3145]),
[iquote('1:Spt:15935.0,3140.0,3145.0')] ).
cnf(15964,plain,
epsilon_transitive(skf353(omega)),
inference(spt,[spt(split,[position(s2)])],[3140]),
[iquote('1:Spt:15935.0,3140.1')] ).
cnf(16086,plain,
latt_set_smaller(skc38,skc39,skc40),
inference(spt,[spt(split,[position(s2s1)])],[2230]),
[iquote('2:Spt:2230.0')] ).
cnf(16087,plain,
~ relstr_element_smaller(poset_of_lattice(skc38),skc40,skc39),
inference(mrr,[status(thm)],[2229,16086]),
[iquote('2:MRR:2229.0,16086.0')] ).
cnf(46243,plain,
( ~ lattice(skc38)
| ~ latt_str(skc38)
| ~ element(skc39,the_carrier(skc38))
| ~ latt_set_smaller(skc38,skc39,skc40)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[1788,16087]),
[iquote('2:Res:1788.5,16087.0')] ).
cnf(46244,plain,
( ~ element(skc39,the_carrier(skc38))
| ~ latt_set_smaller(skc38,skc39,skc40)
| empty_carrier(skc38) ),
inference(ssi,[status(thm)],[46243,2,1,2198,2196,2200,2199,2195,2197,1969,1968]),
[iquote('2:SSi:46243.1,46243.0,2.0,1.0,2198.0,2196.0,2200.0,2199.0,2195.0,2197.0,1969.0,1968.0,2.0,1.0,2198.0,2196.0,2200.0,2199.0,2195.0,2197.0,1969.0,1968.0')] ).
cnf(46245,plain,
$false,
inference(mrr,[status(thm)],[46244,2226,16086,4058]),
[iquote('2:MRR:46244.0,46244.1,46244.2,2226.0,16086.0,4058.0')] ).
cnf(46246,plain,
~ latt_set_smaller(skc38,skc39,skc40),
inference(spt,[spt(split,[position(s2sa)])],[46245,16086]),
[iquote('2:Spt:46245.0,2230.0,16086.0')] ).
cnf(46247,plain,
relstr_element_smaller(poset_of_lattice(skc38),skc40,skc39),
inference(spt,[spt(split,[position(s2s2)])],[2230]),
[iquote('2:Spt:46245.0,2230.1')] ).
cnf(46268,plain,
( ~ lattice(skc38)
| ~ latt_str(skc38)
| ~ element(skc39,the_carrier(skc38))
| empty_carrier(skc38)
| latt_set_smaller(skc38,skc39,skc40) ),
inference(res,[status(thm),theory(equality)],[46247,1787]),
[iquote('2:Res:46247.0,1787.3')] ).
cnf(46269,plain,
( ~ element(skc39,the_carrier(skc38))
| empty_carrier(skc38)
| latt_set_smaller(skc38,skc39,skc40) ),
inference(ssi,[status(thm)],[46268,2,1,2198,2196,2200,2199,2195,2197,1969,1968]),
[iquote('2:SSi:46268.1,46268.0,2.0,1.0,2198.0,2196.0,2200.0,2199.0,2195.0,2197.0,1969.0,1968.0,2.0,1.0,2198.0,2196.0,2200.0,2199.0,2195.0,2197.0,1969.0,1968.0')] ).
cnf(46270,plain,
$false,
inference(mrr,[status(thm)],[46269,2226,4058,46246]),
[iquote('2:MRR:46269.0,46269.1,46269.2,2226.0,4058.0,46246.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU348+2 : TPTP v8.1.0. Released v3.3.0.
% 0.14/0.15 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.21/0.36 % CPULimit : 300
% 0.21/0.36 % WCLimit : 600
% 0.21/0.36 % DateTime : Sat Jun 18 23:47:52 EDT 2022
% 0.21/0.37 % CPUTime :
% 211.91/212.12
% 211.91/212.12 SPASS V 3.9
% 211.91/212.12 SPASS beiseite: Proof found.
% 211.91/212.12 % SZS status Theorem
% 211.91/212.12 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 211.91/212.12 SPASS derived 37896 clauses, backtracked 1017 clauses, performed 64 splits and kept 25058 clauses.
% 211.91/212.12 SPASS allocated 184337 KBytes.
% 211.91/212.12 SPASS spent 0:3:31.70 on the problem.
% 211.91/212.12 0:00:00.05 for the input.
% 211.91/212.12 0:02:07.56 for the FLOTTER CNF translation.
% 211.91/212.12 0:00:00.92 for inferences.
% 211.91/212.12 0:00:00.21 for the backtracking.
% 211.91/212.12 0:1:20.31 for the reduction.
% 211.91/212.12
% 211.91/212.12
% 211.91/212.12 Here is a proof with depth 5, length 105 :
% 211.91/212.12 % SZS output start Refutation
% See solution above
% 214.55/214.74 Formulae used in the proof : t29_lattice3 fc1_ordinal2 rc1_partfun1 d1_finset_1 rc4_funct_1 existence_m1_subset_1 t60_relat_1 cc1_finset_1 dt_l1_lattices dt_l2_lattices dt_l3_lattices fc1_zfmisc_1 cc3_arytm_3 d1_relat_1 t6_boole t1_subset d1_xboole_0 t12_pre_topc d1_struct_0 fc2_pre_topc fc6_relat_1 t2_subset cc1_lattices d3_lattice3 d4_lattice3 dt_k5_lattice3 t28_lattice3
% 214.55/214.74
%------------------------------------------------------------------------------