TSTP Solution File: SEU369+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU369+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 08:41:36 EDT 2022
% Result : Theorem 10.56s 3.68s
% Output : CNFRefutation 10.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of clauses : 115 ( 62 unt; 22 nHn; 82 RR)
% Number of literals : 257 ( 39 equ; 128 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 154 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_287,plain,
( powerset(X1) = the_carrier(X2)
| X2 != boole_lattice(X1)
| ~ latt_str(X2)
| ~ strict_latt_str(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_287) ).
cnf(i_0_942,plain,
strict_latt_str(boole_lattice(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_942) ).
cnf(i_0_660,plain,
latt_str(boole_lattice(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_660) ).
cnf(i_0_3036,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3036) ).
cnf(i_0_461,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_461) ).
cnf(i_0_2975,negated_conjecture,
element(esk471_0,the_carrier(poset_of_lattice(boole_lattice(esk469_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2975) ).
cnf(i_0_935,plain,
lattice(boole_lattice(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_935) ).
cnf(i_0_943,plain,
~ empty_carrier(boole_lattice(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_943) ).
cnf(i_0_3168,lemma,
subset(X1,set_union2(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3168) ).
cnf(i_0_817,plain,
~ empty(powerset(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_817) ).
cnf(i_0_3037,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3037) ).
cnf(i_0_706,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_706) ).
cnf(i_0_2976,negated_conjecture,
element(esk470_0,the_carrier(poset_of_lattice(boole_lattice(esk469_0)))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2976) ).
cnf(i_0_389,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_389) ).
cnf(i_0_154,plain,
set_union2(X1,X2) = set_union2(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_154) ).
cnf(i_0_3190,lemma,
union(powerset(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3190) ).
cnf(i_0_3183,lemma,
( subset(set_union2(X1,X2),X3)
| ~ subset(X2,X3)
| ~ subset(X1,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3183) ).
cnf(i_0_3187,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3187) ).
cnf(i_0_3020,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3020) ).
cnf(i_0_430,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_430) ).
cnf(i_0_2895,lemma,
( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
| ~ element(X3,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2895) ).
cnf(i_0_3028,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3028) ).
cnf(i_0_2893,plain,
set_union2(X1,empty_set) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2893) ).
cnf(i_0_3163,lemma,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3163) ).
cnf(i_0_431,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| join(X1,X2,X3) != X3
| ~ join_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_431) ).
cnf(i_0_2896,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2896) ).
cnf(i_0_2973,negated_conjecture,
( subset(esk470_0,esk471_0)
| related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),esk470_0,esk471_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2973) ).
cnf(i_0_733,plain,
( join_semilatt_str(X1)
| ~ latt_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_733) ).
cnf(i_0_2828,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2828) ).
cnf(i_0_1378,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_1378) ).
cnf(i_0_936,plain,
join_absorbing(boole_lattice(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_936) ).
cnf(i_0_937,plain,
meet_absorbing(boole_lattice(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_937) ).
cnf(i_0_939,plain,
meet_commutative(boole_lattice(X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_939) ).
cnf(i_0_1377,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_1377) ).
cnf(i_0_2967,lemma,
( subset(X1,X2)
| ~ below(boole_lattice(X3),X1,X2)
| ~ element(X2,the_carrier(boole_lattice(X3)))
| ~ element(X1,the_carrier(boole_lattice(X3))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2967) ).
cnf(i_0_3164,lemma,
( empty_carrier(X1)
| related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_3164) ).
cnf(i_0_2974,negated_conjecture,
( ~ subset(esk470_0,esk471_0)
| ~ related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),esk470_0,esk471_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-voeokw8u/lgb.p',i_0_2974) ).
cnf(c_0_3228,plain,
( powerset(X1) = the_carrier(X2)
| X2 != boole_lattice(X1)
| ~ latt_str(X2)
| ~ strict_latt_str(X2) ),
i_0_287 ).
cnf(c_0_3229,plain,
strict_latt_str(boole_lattice(X1)),
i_0_942 ).
cnf(c_0_3230,plain,
latt_str(boole_lattice(X1)),
i_0_660 ).
cnf(c_0_3231,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
i_0_3036 ).
cnf(c_0_3232,plain,
powerset(X1) = the_carrier(boole_lattice(X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_3228]),c_0_3229]),c_0_3230])]) ).
cnf(c_0_3233,plain,
( cast_to_el_of_lattice(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_461 ).
cnf(c_0_3234,negated_conjecture,
element(esk471_0,the_carrier(poset_of_lattice(boole_lattice(esk469_0)))),
i_0_2975 ).
cnf(c_0_3235,plain,
lattice(boole_lattice(X1)),
i_0_935 ).
cnf(c_0_3236,plain,
~ empty_carrier(boole_lattice(X1)),
i_0_943 ).
cnf(c_0_3237,plain,
( element(X1,the_carrier(boole_lattice(X2)))
| ~ subset(X1,X2) ),
inference(rw,[status(thm)],[c_0_3231,c_0_3232]) ).
cnf(c_0_3238,lemma,
subset(X1,set_union2(X1,X2)),
i_0_3168 ).
cnf(c_0_3239,plain,
~ empty(powerset(X1)),
i_0_817 ).
cnf(c_0_3240,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
i_0_3037 ).
cnf(c_0_3241,plain,
( empty_carrier(X1)
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
i_0_706 ).
cnf(c_0_3242,negated_conjecture,
cast_to_el_of_lattice(boole_lattice(esk469_0),esk471_0) = esk471_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3233,c_0_3234]),c_0_3235]),c_0_3230])]),c_0_3236]) ).
cnf(c_0_3243,negated_conjecture,
element(esk470_0,the_carrier(poset_of_lattice(boole_lattice(esk469_0)))),
i_0_2976 ).
cnf(c_0_3244,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_389 ).
cnf(c_0_3245,plain,
element(X1,the_carrier(boole_lattice(set_union2(X1,X2)))),
inference(spm,[status(thm)],[c_0_3237,c_0_3238]) ).
cnf(c_0_3246,plain,
~ empty(the_carrier(boole_lattice(X1))),
inference(rw,[status(thm)],[c_0_3239,c_0_3232]) ).
cnf(c_0_3247,plain,
( subset(X1,X2)
| ~ element(X1,the_carrier(boole_lattice(X2))) ),
inference(rw,[status(thm)],[c_0_3240,c_0_3232]) ).
cnf(c_0_3248,negated_conjecture,
element(esk471_0,the_carrier(boole_lattice(esk469_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3241,c_0_3234]),c_0_3242]),c_0_3235]),c_0_3230])]),c_0_3236]) ).
cnf(c_0_3249,negated_conjecture,
cast_to_el_of_lattice(boole_lattice(esk469_0),esk470_0) = esk470_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3233,c_0_3243]),c_0_3235]),c_0_3230])]),c_0_3236]) ).
cnf(c_0_3250,plain,
in(X1,the_carrier(boole_lattice(set_union2(X1,X2)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3244,c_0_3245]),c_0_3246]) ).
cnf(c_0_3251,plain,
set_union2(X1,X2) = set_union2(X2,X1),
i_0_154 ).
cnf(c_0_3252,lemma,
union(powerset(X1)) = X1,
i_0_3190 ).
cnf(c_0_3253,lemma,
( subset(set_union2(X1,X2),X3)
| ~ subset(X2,X3)
| ~ subset(X1,X3) ),
i_0_3183 ).
cnf(c_0_3254,plain,
subset(esk471_0,esk469_0),
inference(spm,[status(thm)],[c_0_3247,c_0_3248]) ).
cnf(c_0_3255,negated_conjecture,
element(esk470_0,the_carrier(boole_lattice(esk469_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3241,c_0_3243]),c_0_3249]),c_0_3235]),c_0_3230])]),c_0_3236]) ).
cnf(c_0_3256,lemma,
( subset(X1,union(X2))
| ~ in(X1,X2) ),
i_0_3187 ).
cnf(c_0_3257,plain,
in(X1,the_carrier(boole_lattice(set_union2(X2,X1)))),
inference(spm,[status(thm)],[c_0_3250,c_0_3251]) ).
cnf(c_0_3258,lemma,
union(the_carrier(boole_lattice(X1))) = X1,
inference(rw,[status(thm)],[c_0_3252,c_0_3232]) ).
cnf(c_0_3259,lemma,
( subset(set_union2(X1,esk471_0),esk469_0)
| ~ subset(X1,esk469_0) ),
inference(spm,[status(thm)],[c_0_3253,c_0_3254]) ).
cnf(c_0_3260,plain,
subset(esk470_0,esk469_0),
inference(spm,[status(thm)],[c_0_3247,c_0_3255]) ).
cnf(c_0_3261,lemma,
( set_difference(X1,X2) = empty_set
| ~ subset(X1,X2) ),
i_0_3020 ).
cnf(c_0_3262,lemma,
subset(X1,set_union2(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3256,c_0_3257]),c_0_3258]) ).
cnf(c_0_3263,plain,
subset(set_union2(esk470_0,esk471_0),esk469_0),
inference(spm,[status(thm)],[c_0_3259,c_0_3260]) ).
cnf(c_0_3264,lemma,
set_difference(X1,set_union2(X2,X1)) = empty_set,
inference(spm,[status(thm)],[c_0_3261,c_0_3262]) ).
cnf(c_0_3265,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_430 ).
cnf(c_0_3266,lemma,
( join(boole_lattice(X1),X2,X3) = set_union2(X2,X3)
| ~ element(X3,the_carrier(boole_lattice(X1)))
| ~ element(X2,the_carrier(boole_lattice(X1))) ),
i_0_2895 ).
cnf(c_0_3267,plain,
element(set_union2(esk470_0,esk471_0),the_carrier(boole_lattice(esk469_0))),
inference(spm,[status(thm)],[c_0_3237,c_0_3263]) ).
cnf(c_0_3268,lemma,
set_union2(X1,set_difference(X2,X1)) = set_union2(X1,X2),
i_0_3028 ).
cnf(c_0_3269,plain,
set_difference(X1,set_union2(X1,X2)) = empty_set,
inference(spm,[status(thm)],[c_0_3264,c_0_3251]) ).
cnf(c_0_3270,plain,
set_union2(X1,empty_set) = X1,
i_0_2893 ).
cnf(c_0_3271,lemma,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3)) ),
i_0_3163 ).
cnf(c_0_3272,plain,
cast_to_el_of_LattPOSet(boole_lattice(esk469_0),esk471_0) = esk471_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3265,c_0_3248]),c_0_3235]),c_0_3230])]),c_0_3236]) ).
cnf(c_0_3273,lemma,
( join(boole_lattice(esk469_0),X1,set_union2(esk470_0,esk471_0)) = set_union2(X1,set_union2(esk470_0,esk471_0))
| ~ element(X1,the_carrier(boole_lattice(esk469_0))) ),
inference(spm,[status(thm)],[c_0_3266,c_0_3267]) ).
cnf(c_0_3274,lemma,
set_union2(X1,set_union2(X1,X2)) = set_union2(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3268,c_0_3269]),c_0_3270]),c_0_3251]) ).
cnf(c_0_3275,plain,
( below_refl(boole_lattice(esk469_0),X1,esk471_0)
| ~ element(X1,the_carrier(boole_lattice(esk469_0)))
| ~ related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),cast_to_el_of_LattPOSet(boole_lattice(esk469_0),X1),esk471_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3271,c_0_3272]),c_0_3235]),c_0_3230]),c_0_3248])]),c_0_3236]) ).
cnf(c_0_3276,plain,
cast_to_el_of_LattPOSet(boole_lattice(esk469_0),esk470_0) = esk470_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3265,c_0_3255]),c_0_3235]),c_0_3230])]),c_0_3236]) ).
cnf(c_0_3277,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| join(X1,X2,X3) != X3
| ~ join_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_431 ).
cnf(c_0_3278,negated_conjecture,
join(boole_lattice(esk469_0),esk470_0,set_union2(esk470_0,esk471_0)) = set_union2(esk470_0,esk471_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3273,c_0_3255]),c_0_3274]) ).
cnf(c_0_3279,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
i_0_2896 ).
cnf(c_0_3280,plain,
( below_refl(boole_lattice(esk469_0),esk470_0,esk471_0)
| ~ related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),esk470_0,esk471_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3275,c_0_3276]),c_0_3255])]) ).
cnf(c_0_3281,negated_conjecture,
( subset(esk470_0,esk471_0)
| related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),esk470_0,esk471_0) ),
i_0_2973 ).
cnf(c_0_3282,plain,
( below(boole_lattice(esk469_0),esk470_0,set_union2(esk470_0,esk471_0))
| ~ join_semilatt_str(boole_lattice(esk469_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3277,c_0_3278]),c_0_3267]),c_0_3255])]),c_0_3236]) ).
cnf(c_0_3283,plain,
( join_semilatt_str(X1)
| ~ latt_str(X1) ),
i_0_733 ).
cnf(c_0_3284,plain,
element(X1,the_carrier(boole_lattice(set_union2(X2,X1)))),
inference(spm,[status(thm)],[c_0_3279,c_0_3257]) ).
cnf(c_0_3285,lemma,
( set_union2(X1,X2) = X2
| ~ subset(X1,X2) ),
i_0_2828 ).
cnf(c_0_3286,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_1378 ).
cnf(c_0_3287,negated_conjecture,
( below_refl(boole_lattice(esk469_0),esk470_0,esk471_0)
| subset(esk470_0,esk471_0) ),
inference(spm,[status(thm)],[c_0_3280,c_0_3281]) ).
cnf(c_0_3288,plain,
join_absorbing(boole_lattice(X1)),
i_0_936 ).
cnf(c_0_3289,plain,
meet_absorbing(boole_lattice(X1)),
i_0_937 ).
cnf(c_0_3290,plain,
meet_commutative(boole_lattice(X1)),
i_0_939 ).
cnf(c_0_3291,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ join_absorbing(X1)
| ~ below(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_1377 ).
cnf(c_0_3292,plain,
below(boole_lattice(esk469_0),esk470_0,set_union2(esk470_0,esk471_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3282,c_0_3283]),c_0_3230])]) ).
cnf(c_0_3293,plain,
cast_to_el_of_LattPOSet(boole_lattice(set_union2(X1,X2)),X2) = X2,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3265,c_0_3284]),c_0_3235]),c_0_3230])]),c_0_3236]) ).
cnf(c_0_3294,lemma,
set_union2(esk469_0,set_union2(esk470_0,esk471_0)) = esk469_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3285,c_0_3263]),c_0_3251]) ).
cnf(c_0_3295,lemma,
( subset(X1,X2)
| ~ below(boole_lattice(X3),X1,X2)
| ~ element(X2,the_carrier(boole_lattice(X3)))
| ~ element(X1,the_carrier(boole_lattice(X3))) ),
i_0_2967 ).
cnf(c_0_3296,plain,
( below(boole_lattice(esk469_0),esk470_0,esk471_0)
| subset(esk470_0,esk471_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3286,c_0_3287]),c_0_3288]),c_0_3289]),c_0_3290]),c_0_3230]),c_0_3248]),c_0_3255])]),c_0_3236]) ).
cnf(c_0_3297,lemma,
( empty_carrier(X1)
| related_reflexive(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_3164 ).
cnf(c_0_3298,plain,
below_refl(boole_lattice(esk469_0),esk470_0,set_union2(esk470_0,esk471_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3291,c_0_3292]),c_0_3288]),c_0_3289]),c_0_3290]),c_0_3230]),c_0_3267]),c_0_3255])]),c_0_3236]) ).
cnf(c_0_3299,plain,
cast_to_el_of_LattPOSet(boole_lattice(esk469_0),set_union2(esk470_0,esk471_0)) = set_union2(esk470_0,esk471_0),
inference(spm,[status(thm)],[c_0_3293,c_0_3294]) ).
cnf(c_0_3300,lemma,
subset(esk470_0,esk471_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3295,c_0_3296]),c_0_3248]),c_0_3255])]) ).
cnf(c_0_3301,negated_conjecture,
( ~ subset(esk470_0,esk471_0)
| ~ related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),esk470_0,esk471_0) ),
i_0_2974 ).
cnf(c_0_3302,lemma,
related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),esk470_0,set_union2(esk470_0,esk471_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3297,c_0_3298]),c_0_3276]),c_0_3299]),c_0_3235]),c_0_3230]),c_0_3267]),c_0_3255])]),c_0_3236]) ).
cnf(c_0_3303,lemma,
set_union2(esk470_0,esk471_0) = esk471_0,
inference(spm,[status(thm)],[c_0_3285,c_0_3300]) ).
cnf(c_0_3304,negated_conjecture,
~ related_reflexive(poset_of_lattice(boole_lattice(esk469_0)),esk470_0,esk471_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3301,c_0_3300])]) ).
cnf(c_0_3305,lemma,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_3302,c_0_3303]),c_0_3304]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU369+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 15:56:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.50 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.50 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.50 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.56/3.68 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.56/3.68 # No SInE strategy applied
% 10.56/3.68 # Trying AutoSched0 for 150 seconds
% 10.56/3.68 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 10.56/3.68 # and selection function SelectCQIPrecWNTNp.
% 10.56/3.68 #
% 10.56/3.68 # Preprocessing time : 0.026 s
% 10.56/3.68 # Presaturation interreduction done
% 10.56/3.68
% 10.56/3.68 # Proof found!
% 10.56/3.68 # SZS status Theorem
% 10.56/3.68 # SZS output start CNFRefutation
% See solution above
% 10.56/3.68 # Training examples: 0 positive, 0 negative
% 10.56/3.68
% 10.56/3.68 # -------------------------------------------------
% 10.56/3.68 # User time : 0.283 s
% 10.56/3.68 # System time : 0.019 s
% 10.56/3.68 # Total time : 0.303 s
% 10.56/3.68 # Maximum resident set size: 7224 pages
% 10.56/3.68
%------------------------------------------------------------------------------