TSTP Solution File: SEU350+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 14:36:30 EDT 2022
% Result : Theorem 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of clauses : 52 ( 20 unt; 26 nHn; 52 RR)
% Number of literals : 142 ( 0 equ; 69 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
latt_str(skc13),
file('SEU350+1.p',unknown),
[] ).
cnf(2,axiom,
lattice(skc13),
file('SEU350+1.p',unknown),
[] ).
cnf(18,axiom,
~ empty_carrier(skc13),
file('SEU350+1.p',unknown),
[] ).
cnf(26,axiom,
element(skc14,the_carrier(poset_of_lattice(skc13))),
file('SEU350+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ latt_str(u)
| meet_semilatt_str(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ latt_str(u)
| join_semilatt_str(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_commutative(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_associative(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_commutative(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_associative(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| meet_absorbing(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ lattice(u)
| ~ latt_str(u)
| empty_carrier(u)
| join_absorbing(u) ),
file('SEU350+1.p',unknown),
[] ).
cnf(61,axiom,
( relstr_set_smaller(poset_of_lattice(skc13),skc15,skc14)
| latt_element_smaller(skc13,cast_to_el_of_lattice(skc13,skc14),skc15) ),
file('SEU350+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ relstr_set_smaller(poset_of_lattice(skc13),skc15,skc14)
| ~ latt_element_smaller(skc13,cast_to_el_of_lattice(skc13,skc14),skc15) ),
file('SEU350+1.p',unknown),
[] ).
cnf(93,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+1.p',unknown),
[] ).
cnf(94,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+1.p',unknown),
[] ).
cnf(96,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+1.p',unknown),
[] ).
cnf(102,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+1.p',unknown),
[] ).
cnf(103,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+1.p',unknown),
[] ).
cnf(106,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)],[94,96]),
[iquote('0:Rew:94.4,96.3')] ).
cnf(108,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)],[93,102]),
[iquote('0:Rew:93.4,102.2')] ).
cnf(109,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)],[93,103]),
[iquote('0:Rew:93.4,103.4')] ).
cnf(130,plain,
( ~ latt_str(skc13)
| join_commutative(skc13)
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[2,54]),
[iquote('0:Res:2.0,54.1')] ).
cnf(131,plain,
( ~ latt_str(skc13)
| join_associative(skc13)
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[2,55]),
[iquote('0:Res:2.0,55.1')] ).
cnf(132,plain,
( ~ latt_str(skc13)
| meet_commutative(skc13)
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[2,56]),
[iquote('0:Res:2.0,56.1')] ).
cnf(133,plain,
( ~ latt_str(skc13)
| meet_associative(skc13)
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[2,57]),
[iquote('0:Res:2.0,57.1')] ).
cnf(134,plain,
( ~ latt_str(skc13)
| meet_absorbing(skc13)
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[2,58]),
[iquote('0:Res:2.0,58.1')] ).
cnf(135,plain,
( ~ latt_str(skc13)
| join_absorbing(skc13)
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[2,59]),
[iquote('0:Res:2.0,59.1')] ).
cnf(163,plain,
meet_semilatt_str(skc13),
inference(res,[status(thm),theory(equality)],[1,30]),
[iquote('0:Res:1.0,30.0')] ).
cnf(164,plain,
join_semilatt_str(skc13),
inference(res,[status(thm),theory(equality)],[1,31]),
[iquote('0:Res:1.0,31.0')] ).
cnf(197,plain,
( ~ latt_str(skc13)
| ~ lattice(skc13)
| element(skc14,the_carrier(skc13))
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[26,106]),
[iquote('0:Res:26.0,106.2')] ).
cnf(198,plain,
( ~ lattice(skc13)
| ~ latt_str(skc13)
| empty_carrier(skc13)
| equal(cast_to_el_of_lattice(skc13,skc14),skc14) ),
inference(res,[status(thm),theory(equality)],[26,94]),
[iquote('0:Res:26.0,94.2')] ).
cnf(201,plain,
join_commutative(skc13),
inference(mrr,[status(thm)],[130,1,18]),
[iquote('0:MRR:130.0,130.2,1.0,18.0')] ).
cnf(202,plain,
join_associative(skc13),
inference(mrr,[status(thm)],[131,1,18]),
[iquote('0:MRR:131.0,131.2,1.0,18.0')] ).
cnf(203,plain,
meet_commutative(skc13),
inference(mrr,[status(thm)],[132,1,18]),
[iquote('0:MRR:132.0,132.2,1.0,18.0')] ).
cnf(204,plain,
meet_associative(skc13),
inference(mrr,[status(thm)],[133,1,18]),
[iquote('0:MRR:133.0,133.2,1.0,18.0')] ).
cnf(205,plain,
meet_absorbing(skc13),
inference(mrr,[status(thm)],[134,1,18]),
[iquote('0:MRR:134.0,134.2,1.0,18.0')] ).
cnf(206,plain,
join_absorbing(skc13),
inference(mrr,[status(thm)],[135,1,18]),
[iquote('0:MRR:135.0,135.2,1.0,18.0')] ).
cnf(220,plain,
element(skc14,the_carrier(skc13)),
inference(mrr,[status(thm)],[197,1,2,18]),
[iquote('0:MRR:197.0,197.1,197.3,1.0,2.0,18.0')] ).
cnf(222,plain,
equal(cast_to_el_of_lattice(skc13,skc14),skc14),
inference(mrr,[status(thm)],[198,2,1,18]),
[iquote('0:MRR:198.0,198.1,198.2,2.0,1.0,18.0')] ).
cnf(223,plain,
( ~ latt_element_smaller(skc13,skc14,skc15)
| ~ relstr_set_smaller(poset_of_lattice(skc13),skc15,skc14) ),
inference(rew,[status(thm),theory(equality)],[222,81]),
[iquote('0:Rew:222.0,81.1')] ).
cnf(224,plain,
( latt_element_smaller(skc13,skc14,skc15)
| relstr_set_smaller(poset_of_lattice(skc13),skc15,skc14) ),
inference(rew,[status(thm),theory(equality)],[222,61]),
[iquote('0:Rew:222.0,61.1')] ).
cnf(261,plain,
latt_element_smaller(skc13,skc14,skc15),
inference(spt,[spt(split,[position(s1)])],[224]),
[iquote('1:Spt:224.0')] ).
cnf(262,plain,
~ relstr_set_smaller(poset_of_lattice(skc13),skc15,skc14),
inference(mrr,[status(thm)],[223,261]),
[iquote('1:MRR:223.0,261.0')] ).
cnf(889,plain,
( ~ lattice(skc13)
| ~ latt_str(skc13)
| ~ element(skc14,the_carrier(skc13))
| ~ latt_element_smaller(skc13,skc14,skc15)
| empty_carrier(skc13) ),
inference(res,[status(thm),theory(equality)],[109,262]),
[iquote('1:Res:109.5,262.0')] ).
cnf(890,plain,
( ~ element(skc14,the_carrier(skc13))
| ~ latt_element_smaller(skc13,skc14,skc15)
| empty_carrier(skc13) ),
inference(ssi,[status(thm)],[889,2,1,206,205,204,203,202,201,164,163]),
[iquote('1:SSi:889.1,889.0,2.0,1.0,206.0,205.0,204.0,203.0,202.0,201.0,164.0,163.0,2.0,1.0,206.0,205.0,204.0,203.0,202.0,201.0,164.0,163.0')] ).
cnf(891,plain,
$false,
inference(mrr,[status(thm)],[890,220,261,18]),
[iquote('1:MRR:890.0,890.1,890.2,220.0,261.0,18.0')] ).
cnf(892,plain,
~ latt_element_smaller(skc13,skc14,skc15),
inference(spt,[spt(split,[position(sa)])],[891,261]),
[iquote('1:Spt:891.0,224.0,261.0')] ).
cnf(893,plain,
relstr_set_smaller(poset_of_lattice(skc13),skc15,skc14),
inference(spt,[spt(split,[position(s2)])],[224]),
[iquote('1:Spt:891.0,224.1')] ).
cnf(925,plain,
( ~ lattice(skc13)
| ~ latt_str(skc13)
| ~ element(skc14,the_carrier(skc13))
| empty_carrier(skc13)
| latt_element_smaller(skc13,skc14,skc15) ),
inference(res,[status(thm),theory(equality)],[893,108]),
[iquote('1:Res:893.0,108.3')] ).
cnf(926,plain,
( ~ element(skc14,the_carrier(skc13))
| empty_carrier(skc13)
| latt_element_smaller(skc13,skc14,skc15) ),
inference(ssi,[status(thm)],[925,2,1,206,205,204,203,202,201,164,163]),
[iquote('1:SSi:925.1,925.0,2.0,1.0,206.0,205.0,204.0,203.0,202.0,201.0,164.0,163.0,2.0,1.0,206.0,205.0,204.0,203.0,202.0,201.0,164.0,163.0')] ).
cnf(927,plain,
$false,
inference(mrr,[status(thm)],[926,220,18,892]),
[iquote('1:MRR:926.0,926.1,926.2,220.0,18.0,892.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% 0.05/0.10 % Command : run_spass %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Sun Jun 19 11:53:33 EDT 2022
% 0.10/0.28 % CPUTime :
% 0.13/0.44
% 0.13/0.44 SPASS V 3.9
% 0.13/0.44 SPASS beiseite: Proof found.
% 0.13/0.44 % SZS status Theorem
% 0.13/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.44 SPASS derived 673 clauses, backtracked 36 clauses, performed 3 splits and kept 524 clauses.
% 0.13/0.44 SPASS allocated 98454 KBytes.
% 0.13/0.44 SPASS spent 0:00:00.14 on the problem.
% 0.13/0.44 0:00:00.03 for the input.
% 0.13/0.44 0:00:00.02 for the FLOTTER CNF translation.
% 0.13/0.44 0:00:00.01 for inferences.
% 0.13/0.44 0:00:00.00 for the backtracking.
% 0.13/0.44 0:00:00.05 for the reduction.
% 0.13/0.44
% 0.13/0.44
% 0.13/0.44 Here is a proof with depth 2, length 52 :
% 0.13/0.44 % SZS output start Refutation
% See solution above
% 0.13/0.44 Formulae used in the proof : t31_lattice3 dt_l3_lattices cc1_lattices d3_lattice3 d4_lattice3 dt_k5_lattice3 t30_lattice3
% 0.13/0.44
%------------------------------------------------------------------------------