TSTP Solution File: SEU350+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU350+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:36:31 EDT 2022
% Result : Theorem 239.93s 240.17s
% Output : Refutation 242.53s
% 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('SEU350+2.p',unknown),
[] ).
cnf(2,axiom,
lattice(skc38),
file('SEU350+2.p',unknown),
[] ).
cnf(12,axiom,
epsilon_transitive(omega),
file('SEU350+2.p',unknown),
[] ).
cnf(13,axiom,
epsilon_connected(omega),
file('SEU350+2.p',unknown),
[] ).
cnf(14,axiom,
ordinal(omega),
file('SEU350+2.p',unknown),
[] ).
cnf(56,axiom,
empty(skc355),
file('SEU350+2.p',unknown),
[] ).
cnf(106,axiom,
~ empty_carrier(skc38),
file('SEU350+2.p',unknown),
[] ).
cnf(107,axiom,
relation(skf341(u)),
file('SEU350+2.p',unknown),
[] ).
cnf(171,axiom,
element(skf437(u),u),
file('SEU350+2.p',unknown),
[] ).
cnf(195,axiom,
equal(relation_dom(empty_set),empty_set),
file('SEU350+2.p',unknown),
[] ).
cnf(198,axiom,
element(skc39,the_carrier(poset_of_lattice(skc38))),
file('SEU350+2.p',unknown),
[] ).
cnf(204,axiom,
( ~ empty(u)
| finite(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(228,axiom,
( ~ meet_semilatt_str(u)
| one_sorted_str(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(231,axiom,
( ~ join_semilatt_str(u)
| one_sorted_str(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(232,axiom,
( ~ latt_str(u)
| meet_semilatt_str(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(233,axiom,
( ~ latt_str(u)
| join_semilatt_str(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(234,axiom,
~ empty(ordered_pair(u,v)),
file('SEU350+2.p',unknown),
[] ).
cnf(269,axiom,
( ~ element(u,omega)
| epsilon_transitive(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(275,axiom,
( ~ finite(u)
| function(skf341(u)) ),
file('SEU350+2.p',unknown),
[] ).
cnf(282,axiom,
( relation(u)
| in(skf356(u),u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(341,axiom,
( ~ empty(u)
| equal(u,empty_set) ),
file('SEU350+2.p',unknown),
[] ).
cnf(440,axiom,
( ~ in(u,v)
| element(u,v) ),
file('SEU350+2.p',unknown),
[] ).
cnf(453,axiom,
( ~ finite(u)
| equal(relation_rng(skf341(u)),u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(454,axiom,
( ~ finite(u)
| in(relation_dom(skf341(u)),omega) ),
file('SEU350+2.p',unknown),
[] ).
cnf(456,axiom,
( ~ in(u,v)
| ~ equal(v,empty_set) ),
file('SEU350+2.p',unknown),
[] ).
cnf(509,axiom,
( ~ one_sorted_str(u)
| equal(cast_as_carrier_subset(u),the_carrier(u)) ),
file('SEU350+2.p',unknown),
[] ).
cnf(547,axiom,
( ~ one_sorted_str(u)
| ~ empty_carrier(u)
| empty(the_carrier(u)) ),
file('SEU350+2.p',unknown),
[] ).
cnf(571,axiom,
( ~ one_sorted_str(u)
| ~ empty(cast_as_carrier_subset(u))
| empty_carrier(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(574,axiom,
( ~ relation(u)
| ~ empty(relation_rng(u))
| empty(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(596,axiom,
( ~ element(u,v)
| empty(v)
| in(u,v) ),
file('SEU350+2.p',unknown),
[] ).
cnf(626,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_commutative(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(627,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_associative(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(628,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_commutative(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(629,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_associative(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(630,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_absorbing(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(631,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_absorbing(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(734,axiom,
( relstr_set_smaller(poset_of_lattice(skc38),skc40,skc39)
| latt_element_smaller(skc38,cast_to_el_of_lattice(skc38,skc39),skc40) ),
file('SEU350+2.p',unknown),
[] ).
cnf(881,axiom,
( ~ relstr_set_smaller(poset_of_lattice(skc38),skc40,skc39)
| ~ latt_element_smaller(skc38,cast_to_el_of_lattice(skc38,skc39),skc40) ),
file('SEU350+2.p',unknown),
[] ).
cnf(951,axiom,
( ~ relation(u)
| ~ in(v,u)
| equal(ordered_pair(skf353(v),skf352(v)),v) ),
file('SEU350+2.p',unknown),
[] ).
cnf(1135,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ element(v,the_carrier(u))
| empty_carrier(u)
| equal(cast_to_el_of_LattPOSet(u,v),v) ),
file('SEU350+2.p',unknown),
[] ).
cnf(1191,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('SEU350+2.p',unknown),
[] ).
cnf(1228,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('SEU350+2.p',unknown),
[] ).
cnf(1406,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ relstr_set_smaller(poset_of_lattice(u),v,cast_to_el_of_LattPOSet(u,w))
| ~ element(w,the_carrier(u))
| latt_element_smaller(u,w,v)
| empty_carrier(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(1407,axiom,
( ~ latt_str(u)
| ~ lattice(u)
| ~ latt_element_smaller(u,v,w)
| ~ element(v,the_carrier(u))
| relstr_set_smaller(poset_of_lattice(u),w,cast_to_el_of_LattPOSet(u,v))
| empty_carrier(u) ),
file('SEU350+2.p',unknown),
[] ).
cnf(1662,plain,
( ~ one_sorted_str(u)
| ~ empty(the_carrier(u))
| empty_carrier(u) ),
inference(rew,[status(thm),theory(equality)],[509,571]),
[iquote('0:Rew:509.1,571.1')] ).
cnf(1749,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)],[1191,1228]),
[iquote('0:Rew:1191.4,1228.3')] ).
cnf(1799,plain,
( ~ lattice(u)
| ~ latt_str(u)
| ~ element(v,the_carrier(u))
| ~ relstr_set_smaller(poset_of_lattice(u),w,v)
| empty_carrier(u)
| latt_element_smaller(u,v,w) ),
inference(rew,[status(thm),theory(equality)],[1135,1406]),
[iquote('0:Rew:1135.4,1406.2')] ).
cnf(1800,plain,
( ~ lattice(u)
| ~ latt_str(u)
| ~ element(v,the_carrier(u))
| ~ latt_element_smaller(u,v,w)
| empty_carrier(u)
| relstr_set_smaller(poset_of_lattice(u),w,v) ),
inference(rew,[status(thm),theory(equality)],[1135,1407]),
[iquote('0:Rew:1135.4,1407.4')] ).
cnf(1927,plain,
( ~ latt_str(skc38)
| join_commutative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,626]),
[iquote('0:Res:2.0,626.1')] ).
cnf(1928,plain,
( ~ latt_str(skc38)
| join_associative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,627]),
[iquote('0:Res:2.0,627.1')] ).
cnf(1929,plain,
( ~ latt_str(skc38)
| meet_commutative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,628]),
[iquote('0:Res:2.0,628.1')] ).
cnf(1930,plain,
( ~ latt_str(skc38)
| meet_associative(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,629]),
[iquote('0:Res:2.0,629.1')] ).
cnf(1931,plain,
( ~ latt_str(skc38)
| meet_absorbing(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,630]),
[iquote('0:Res:2.0,630.1')] ).
cnf(1932,plain,
( ~ latt_str(skc38)
| join_absorbing(skc38)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[2,631]),
[iquote('0:Res:2.0,631.1')] ).
cnf(1995,plain,
meet_semilatt_str(skc38),
inference(res,[status(thm),theory(equality)],[1,232]),
[iquote('0:Res:1.0,232.0')] ).
cnf(1996,plain,
join_semilatt_str(skc38),
inference(res,[status(thm),theory(equality)],[1,233]),
[iquote('0:Res:1.0,233.0')] ).
cnf(2104,plain,
( ~ one_sorted_str(skc38)
| ~ empty(the_carrier(skc38)) ),
inference(res,[status(thm),theory(equality)],[1662,106]),
[iquote('0:Res:1662.2,106.0')] ).
cnf(2190,plain,
( ~ latt_str(skc38)
| ~ lattice(skc38)
| element(skc39,the_carrier(skc38))
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[198,1749]),
[iquote('0:Res:198.0,1749.2')] ).
cnf(2191,plain,
( ~ lattice(skc38)
| ~ latt_str(skc38)
| empty_carrier(skc38)
| equal(cast_to_el_of_lattice(skc38,skc39),skc39) ),
inference(res,[status(thm),theory(equality)],[198,1191]),
[iquote('0:Res:198.0,1191.2')] ).
cnf(2241,plain,
join_commutative(skc38),
inference(mrr,[status(thm)],[1927,1,106]),
[iquote('0:MRR:1927.0,1927.2,1.0,106.0')] ).
cnf(2242,plain,
join_associative(skc38),
inference(mrr,[status(thm)],[1928,1,106]),
[iquote('0:MRR:1928.0,1928.2,1.0,106.0')] ).
cnf(2243,plain,
meet_commutative(skc38),
inference(mrr,[status(thm)],[1929,1,106]),
[iquote('0:MRR:1929.0,1929.2,1.0,106.0')] ).
cnf(2244,plain,
meet_associative(skc38),
inference(mrr,[status(thm)],[1930,1,106]),
[iquote('0:MRR:1930.0,1930.2,1.0,106.0')] ).
cnf(2245,plain,
meet_absorbing(skc38),
inference(mrr,[status(thm)],[1931,1,106]),
[iquote('0:MRR:1931.0,1931.2,1.0,106.0')] ).
cnf(2246,plain,
join_absorbing(skc38),
inference(mrr,[status(thm)],[1932,1,106]),
[iquote('0:MRR:1932.0,1932.2,1.0,106.0')] ).
cnf(2272,plain,
element(skc39,the_carrier(skc38)),
inference(mrr,[status(thm)],[2190,1,2,106]),
[iquote('0:MRR:2190.0,2190.1,2190.3,1.0,2.0,106.0')] ).
cnf(2274,plain,
equal(cast_to_el_of_lattice(skc38,skc39),skc39),
inference(mrr,[status(thm)],[2191,2,1,106]),
[iquote('0:MRR:2191.0,2191.1,2191.2,2.0,1.0,106.0')] ).
cnf(2275,plain,
( ~ latt_element_smaller(skc38,skc39,skc40)
| ~ relstr_set_smaller(poset_of_lattice(skc38),skc40,skc39) ),
inference(rew,[status(thm),theory(equality)],[2274,881]),
[iquote('0:Rew:2274.0,881.1')] ).
cnf(2276,plain,
( latt_element_smaller(skc38,skc39,skc40)
| relstr_set_smaller(poset_of_lattice(skc38),skc40,skc39) ),
inference(rew,[status(thm),theory(equality)],[2274,734]),
[iquote('0:Rew:2274.0,734.1')] ).
cnf(2570,plain,
equal(empty_set,skc355),
inference(ems,[status(thm)],[341,56]),
[iquote('0:EmS:341.0,56.0')] ).
cnf(2590,plain,
equal(relation_dom(skc355),skc355),
inference(rew,[status(thm),theory(equality)],[2570,195]),
[iquote('0:Rew:2570.0,195.0')] ).
cnf(2601,plain,
( ~ empty(u)
| equal(u,skc355) ),
inference(rew,[status(thm),theory(equality)],[2570,341]),
[iquote('0:Rew:2570.0,341.1')] ).
cnf(2640,plain,
( ~ in(u,v)
| ~ equal(v,skc355) ),
inference(rew,[status(thm),theory(equality)],[2570,456]),
[iquote('0:Rew:2570.0,456.1')] ).
cnf(2840,plain,
( ~ join_semilatt_str(skc38)
| ~ empty(the_carrier(skc38)) ),
inference(sor,[status(thm)],[2104,231]),
[iquote('0:SoR:2104.0,231.1')] ).
cnf(2843,plain,
~ empty(the_carrier(skc38)),
inference(ssi,[status(thm)],[2840,2,1,2244,2242,2246,2245,2241,2243,1996,1995]),
[iquote('0:SSi:2840.0,2.0,1.0,2244.0,2242.0,2246.0,2245.0,2241.0,2243.0,1996.0,1995.0')] ).
cnf(3171,plain,
( ~ in(u,omega)
| epsilon_transitive(u) ),
inference(res,[status(thm),theory(equality)],[440,269]),
[iquote('0:Res:440.1,269.0')] ).
cnf(3211,plain,
( relation(omega)
| epsilon_transitive(skf356(omega)) ),
inference(res,[status(thm),theory(equality)],[282,3171]),
[iquote('0:Res:282.1,3171.0')] ).
cnf(3216,plain,
relation(omega),
inference(spt,[spt(split,[position(s1)])],[3211]),
[iquote('1:Spt:3211.0')] ).
cnf(4167,plain,
( ~ one_sorted_str(skc38)
| ~ empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[547,2843]),
[iquote('0:Res:547.2,2843.0')] ).
cnf(4168,plain,
~ empty_carrier(skc38),
inference(ssi,[status(thm)],[4167,228,2,1,2244,2242,2246,2245,2241,2243,1996,1995]),
[iquote('0:SSi:4167.0,228.0,2.0,1.0,2244.0,2242.0,2246.0,2245.0,2241.0,2243.0,1996.0,1995.1')] ).
cnf(4190,plain,
( ~ finite(u)
| ~ relation(skf341(u))
| ~ empty(u)
| empty(skf341(u)) ),
inference(spl,[status(thm),theory(equality)],[453,574]),
[iquote('0:SpL:453.1,574.1')] ).
cnf(4193,plain,
( ~ empty(u)
| empty(skf341(u)) ),
inference(ssi,[status(thm)],[4190,107,275,204]),
[iquote('0:SSi:4190.1,4190.0,107.1,275.1,204.1,204.0')] ).
cnf(4228,plain,
( ~ empty(u)
| equal(skf341(u),skc355) ),
inference(ems,[status(thm)],[2601,4193]),
[iquote('0:EmS:2601.0,4193.1')] ).
cnf(4264,plain,
( ~ finite(u)
| ~ empty(u)
| in(relation_dom(skc355),omega) ),
inference(spr,[status(thm),theory(equality)],[4228,454]),
[iquote('0:SpR:4228.1,454.1')] ).
cnf(4275,plain,
( ~ finite(u)
| ~ empty(u)
| in(skc355,omega) ),
inference(rew,[status(thm),theory(equality)],[2590,4264]),
[iquote('0:Rew:2590.0,4264.2')] ).
cnf(4276,plain,
( ~ empty(u)
| in(skc355,omega) ),
inference(ssi,[status(thm)],[4275,204]),
[iquote('0:SSi:4275.0,204.1')] ).
cnf(4278,plain,
in(skc355,omega),
inference(res,[status(thm),theory(equality)],[56,4276]),
[iquote('0:Res:56.0,4276.0')] ).
cnf(6136,plain,
( empty(u)
| in(skf437(u),u) ),
inference(res,[status(thm),theory(equality)],[171,596]),
[iquote('0:Res:171.0,596.0')] ).
cnf(6387,plain,
( ~ equal(u,skc355)
| empty(u) ),
inference(res,[status(thm),theory(equality)],[6136,2640]),
[iquote('0:Res:6136.1,2640.0')] ).
cnf(6487,plain,
~ equal(ordered_pair(u,v),skc355),
inference(res,[status(thm),theory(equality)],[6387,234]),
[iquote('0:Res:6387.1,234.0')] ).
cnf(15864,plain,
( ~ relation(omega)
| equal(ordered_pair(skf353(skc355),skf352(skc355)),skc355) ),
inference(res,[status(thm),theory(equality)],[4278,951]),
[iquote('0:Res:4278.0,951.1')] ).
cnf(16075,plain,
equal(ordered_pair(skf353(skc355),skf352(skc355)),skc355),
inference(ssi,[status(thm)],[15864,12,13,14,3216]),
[iquote('1:SSi:15864.0,12.0,13.0,14.0,3216.0')] ).
cnf(16076,plain,
$false,
inference(mrr,[status(thm)],[16075,6487]),
[iquote('1:MRR:16075.0,6487.0')] ).
cnf(16104,plain,
~ relation(omega),
inference(spt,[spt(split,[position(sa)])],[16076,3216]),
[iquote('1:Spt:16076.0,3211.0,3216.0')] ).
cnf(16105,plain,
epsilon_transitive(skf356(omega)),
inference(spt,[spt(split,[position(s2)])],[3211]),
[iquote('1:Spt:16076.0,3211.1')] ).
cnf(16227,plain,
latt_element_smaller(skc38,skc39,skc40),
inference(spt,[spt(split,[position(s2s1)])],[2276]),
[iquote('2:Spt:2276.0')] ).
cnf(16228,plain,
~ relstr_set_smaller(poset_of_lattice(skc38),skc40,skc39),
inference(mrr,[status(thm)],[2275,16227]),
[iquote('2:MRR:2275.0,16227.0')] ).
cnf(46612,plain,
( ~ lattice(skc38)
| ~ latt_str(skc38)
| ~ element(skc39,the_carrier(skc38))
| ~ latt_element_smaller(skc38,skc39,skc40)
| empty_carrier(skc38) ),
inference(res,[status(thm),theory(equality)],[1800,16228]),
[iquote('2:Res:1800.5,16228.0')] ).
cnf(46613,plain,
( ~ element(skc39,the_carrier(skc38))
| ~ latt_element_smaller(skc38,skc39,skc40)
| empty_carrier(skc38) ),
inference(ssi,[status(thm)],[46612,2,1,2244,2242,2246,2245,2241,2243,1996,1995]),
[iquote('2:SSi:46612.1,46612.0,2.0,1.0,2244.0,2242.0,2246.0,2245.0,2241.0,2243.0,1996.0,1995.0,2.0,1.0,2244.0,2242.0,2246.0,2245.0,2241.0,2243.0,1996.0,1995.0')] ).
cnf(46614,plain,
$false,
inference(mrr,[status(thm)],[46613,2272,16227,4168]),
[iquote('2:MRR:46613.0,46613.1,46613.2,2272.0,16227.0,4168.0')] ).
cnf(46615,plain,
~ latt_element_smaller(skc38,skc39,skc40),
inference(spt,[spt(split,[position(s2sa)])],[46614,16227]),
[iquote('2:Spt:46614.0,2276.0,16227.0')] ).
cnf(46616,plain,
relstr_set_smaller(poset_of_lattice(skc38),skc40,skc39),
inference(spt,[spt(split,[position(s2s2)])],[2276]),
[iquote('2:Spt:46614.0,2276.1')] ).
cnf(46646,plain,
( ~ lattice(skc38)
| ~ latt_str(skc38)
| ~ element(skc39,the_carrier(skc38))
| empty_carrier(skc38)
| latt_element_smaller(skc38,skc39,skc40) ),
inference(res,[status(thm),theory(equality)],[46616,1799]),
[iquote('2:Res:46616.0,1799.3')] ).
cnf(46647,plain,
( ~ element(skc39,the_carrier(skc38))
| empty_carrier(skc38)
| latt_element_smaller(skc38,skc39,skc40) ),
inference(ssi,[status(thm)],[46646,2,1,2244,2242,2246,2245,2241,2243,1996,1995]),
[iquote('2:SSi:46646.1,46646.0,2.0,1.0,2244.0,2242.0,2246.0,2245.0,2241.0,2243.0,1996.0,1995.0,2.0,1.0,2244.0,2242.0,2246.0,2245.0,2241.0,2243.0,1996.0,1995.0')] ).
cnf(46648,plain,
$false,
inference(mrr,[status(thm)],[46647,2272,4168,46615]),
[iquote('2:MRR:46647.0,46647.1,46647.2,2272.0,4168.0,46615.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU350+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 17:29:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 239.93/240.17
% 239.93/240.17 SPASS V 3.9
% 239.93/240.17 SPASS beiseite: Proof found.
% 239.93/240.17 % SZS status Theorem
% 239.93/240.17 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 239.93/240.17 SPASS derived 38234 clauses, backtracked 1021 clauses, performed 67 splits and kept 25327 clauses.
% 239.93/240.17 SPASS allocated 184912 KBytes.
% 239.93/240.17 SPASS spent 0:3:59.78 on the problem.
% 239.93/240.17 0:00:00.05 for the input.
% 239.93/240.17 0:2:27.17 for the FLOTTER CNF translation.
% 239.93/240.17 0:00:00.97 for inferences.
% 239.93/240.17 0:00:00.22 for the backtracking.
% 239.93/240.17 0:1:28.52 for the reduction.
% 239.93/240.17
% 239.93/240.17
% 239.93/240.17 Here is a proof with depth 5, length 105 :
% 239.93/240.17 % SZS output start Refutation
% See solution above
% 242.53/242.77 Formulae used in the proof : t31_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 t30_lattice3
% 242.53/242.77
%------------------------------------------------------------------------------