TSTP Solution File: SEU358+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU358+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:41:29 EDT 2022
% Result : Theorem 18.45s 3.76s
% Output : CNFRefutation 18.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 41
% Syntax : Number of clauses : 128 ( 10 unt; 106 nHn; 120 RR)
% Number of literals : 747 ( 63 equ; 504 neg)
% Maximal clause size : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 311 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_52,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-mi_gqg1t/input.p',i_0_52) ).
cnf(i_0_26,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-mi_gqg1t/input.p',i_0_26) ).
cnf(i_0_155,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_155) ).
cnf(i_0_25,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-mi_gqg1t/input.p',i_0_25) ).
cnf(i_0_132,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk23_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_132) ).
cnf(i_0_46,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_46) ).
cnf(i_0_47,plain,
( empty_carrier(X1)
| antisymmetric_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_47) ).
cnf(i_0_126,plain,
( empty_carrier(X1)
| related(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_126) ).
cnf(i_0_171,plain,
( 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-mi_gqg1t/input.p',i_0_171) ).
cnf(i_0_49,plain,
( empty_carrier(X1)
| reflexive_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_49) ).
cnf(i_0_51,plain,
( empty_carrier(X1)
| element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_51) ).
cnf(i_0_91,plain,
( empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ empty_carrier(poset_of_lattice(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_91) ).
cnf(i_0_131,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk23_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_131) ).
cnf(i_0_143,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_143) ).
cnf(i_0_138,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk25_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_138) ).
cnf(i_0_29,plain,
( X1 = join_on_relstr(X2,X3)
| element(esk3_3(X2,X3,X1),the_carrier(X2))
| ~ rel_str(X2)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_29) ).
cnf(i_0_21,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| X2 != join_of_latt_set(X1,X4)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ latt_element_smaller(X1,X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_21) ).
cnf(i_0_137,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk25_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_137) ).
cnf(i_0_28,plain,
( X1 = join_on_relstr(X2,X3)
| relstr_set_smaller(X2,X3,esk3_3(X2,X3,X1))
| ~ rel_str(X2)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_28) ).
cnf(i_0_130,plain,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk23_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_130) ).
cnf(i_0_123,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-mi_gqg1t/input.p',i_0_123) ).
cnf(i_0_4,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_4) ).
cnf(i_0_2,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_2) ).
cnf(i_0_1,plain,
( empty_carrier(X1)
| join_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_1) ).
cnf(i_0_136,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk25_3(X1,X2,X3),X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_136) ).
cnf(i_0_162,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| X3 != meet_of_latt_set(X1,X4)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ latt_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_162) ).
cnf(i_0_27,plain,
( X1 = join_on_relstr(X2,X3)
| ~ rel_str(X2)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ related(X2,X1,esk3_3(X2,X3,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_27) ).
cnf(i_0_15,plain,
( X1 = meet_on_relstr(X2,X3)
| element(esk1_3(X2,X3,X1),the_carrier(X2))
| ~ rel_str(X2)
| ~ ex_inf_of_relstr_set(X2,X3)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_15) ).
cnf(i_0_156,plain,
( empty_carrier(X1)
| relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_element_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_156) ).
cnf(i_0_22,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| X2 != join_of_latt_set(X1,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_22) ).
cnf(i_0_14,plain,
( X1 = meet_on_relstr(X2,X3)
| relstr_element_smaller(X2,X3,esk1_3(X2,X3,X1))
| ~ rel_str(X2)
| ~ ex_inf_of_relstr_set(X2,X3)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_14) ).
cnf(i_0_144,plain,
( empty_carrier(X1)
| relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_set_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_144) ).
cnf(i_0_163,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| X2 != meet_of_latt_set(X1,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_163) ).
cnf(i_0_13,plain,
( X1 = meet_on_relstr(X2,X3)
| ~ rel_str(X2)
| ~ ex_inf_of_relstr_set(X2,X3)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ related(X2,esk1_3(X2,X3,X1),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_13) ).
cnf(i_0_35,plain,
( empty_carrier(X1)
| element(meet_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_35) ).
cnf(i_0_34,plain,
( empty_carrier(X1)
| element(join_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_34) ).
cnf(i_0_147,negated_conjecture,
( join_on_relstr(poset_of_lattice(esk26_0),esk27_0) != join_of_latt_set(esk26_0,esk27_0)
| meet_on_relstr(poset_of_lattice(esk26_0),esk27_0) != meet_of_latt_set(esk26_0,esk27_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_147) ).
cnf(i_0_149,negated_conjecture,
complete_latt_str(esk26_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_149) ).
cnf(i_0_150,negated_conjecture,
lattice(esk26_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_150) ).
cnf(i_0_148,negated_conjecture,
latt_str(esk26_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_148) ).
cnf(i_0_151,negated_conjecture,
~ empty_carrier(esk26_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mi_gqg1t/input.p',i_0_151) ).
cnf(c_0_213,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_52 ).
cnf(c_0_214,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_26 ).
cnf(c_0_215,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
i_0_155 ).
cnf(c_0_216,plain,
( cast_to_el_of_LattPOSet(X1,X2) = X2
| empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_25 ).
cnf(c_0_217,plain,
( empty_carrier(X1)
| element(X2,the_carrier(X1))
| ~ element(X2,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_214]) ).
cnf(c_0_218,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk23_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_132 ).
cnf(c_0_219,plain,
( empty_carrier(X1)
| rel_str(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_46 ).
cnf(c_0_220,plain,
( empty_carrier(X1)
| antisymmetric_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_47 ).
cnf(c_0_221,plain,
( empty_carrier(X1)
| related(X1,X2,X3)
| ~ rel_str(X1)
| ~ reflexive_relstr(X1)
| ~ related_reflexive(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_126 ).
cnf(c_0_222,plain,
( 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_171 ).
cnf(c_0_223,plain,
( empty_carrier(X1)
| reflexive_relstr(poset_of_lattice(X1))
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_49 ).
cnf(c_0_224,plain,
( empty_carrier(X1)
| element(cast_to_el_of_LattPOSet(X1,X2),the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_51 ).
cnf(c_0_225,plain,
( empty_carrier(X1)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ empty_carrier(poset_of_lattice(X1)) ),
i_0_91 ).
cnf(c_0_226,plain,
( latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_227,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk23_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_131 ).
cnf(c_0_228,plain,
( ex_sup_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| element(esk23_3(poset_of_lattice(X1),X2,X3),the_carrier(X1))
| ~ relstr_set_smaller(poset_of_lattice(X1),X2,X3)
| ~ element(X3,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_220]) ).
cnf(c_0_229,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
i_0_143 ).
cnf(c_0_230,plain,
( ex_inf_of_relstr_set(X1,X2)
| element(esk25_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_138 ).
cnf(c_0_231,plain,
( X1 = join_on_relstr(X2,X3)
| element(esk3_3(X2,X3,X1),the_carrier(X2))
| ~ rel_str(X2)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
i_0_29 ).
cnf(c_0_232,plain,
( related(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),cast_to_el_of_LattPOSet(X1,X3))
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_219]),c_0_223]),c_0_224]),c_0_224]),c_0_225]) ).
cnf(c_0_233,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| X2 != join_of_latt_set(X1,X4)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ latt_element_smaller(X1,X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_21 ).
cnf(c_0_234,plain,
( latt_element_smaller(X1,esk23_3(poset_of_lattice(X1),X2,X3),X2)
| ex_sup_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| ~ relstr_set_smaller(poset_of_lattice(X1),X2,X3)
| ~ element(X3,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_219]),c_0_220]),c_0_228]) ).
cnf(c_0_235,plain,
( latt_set_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,X2)
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_229,c_0_216]) ).
cnf(c_0_236,plain,
( ex_inf_of_relstr_set(X1,X2)
| relstr_element_smaller(X1,X2,esk25_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
i_0_137 ).
cnf(c_0_237,plain,
( ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| element(esk25_3(poset_of_lattice(X1),X2,X3),the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X2,X3)
| ~ element(X3,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_230]),c_0_219]),c_0_220]) ).
cnf(c_0_238,plain,
( X1 = join_on_relstr(X2,X3)
| relstr_set_smaller(X2,X3,esk3_3(X2,X3,X1))
| ~ rel_str(X2)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
i_0_28 ).
cnf(c_0_239,plain,
( X1 = join_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| element(esk3_3(poset_of_lattice(X2),X3,X1),the_carrier(X2))
| ~ relstr_set_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_sup_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_231]),c_0_219]) ).
cnf(c_0_240,plain,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk23_3(X1,X2,X3)) ),
i_0_130 ).
cnf(c_0_241,plain,
( related(poset_of_lattice(X1),cast_to_el_of_LattPOSet(X1,X2),X3)
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_232,c_0_216]) ).
cnf(c_0_242,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_123 ).
cnf(c_0_243,plain,
( below(X1,X2,esk23_3(poset_of_lattice(X1),X3,X4))
| ex_sup_of_relstr_set(poset_of_lattice(X1),X3)
| empty_carrier(X1)
| X2 != join_of_latt_set(X1,X3)
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,X4)
| ~ element(X4,the_carrier(poset_of_lattice(X1)))
| ~ element(X2,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_228]) ).
cnf(c_0_244,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_4 ).
cnf(c_0_245,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_2 ).
cnf(c_0_246,plain,
( empty_carrier(X1)
| join_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_1 ).
cnf(c_0_247,plain,
( ex_inf_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_element_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,esk25_3(X1,X2,X3),X3) ),
i_0_136 ).
cnf(c_0_248,plain,
( related(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_232,c_0_216]) ).
cnf(c_0_249,plain,
( empty_carrier(X1)
| below_refl(X1,X2,X3)
| X3 != meet_of_latt_set(X1,X4)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ latt_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_162 ).
cnf(c_0_250,plain,
( latt_set_smaller(X1,esk25_3(poset_of_lattice(X1),X2,X3),X2)
| ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| ~ relstr_element_smaller(poset_of_lattice(X1),X2,X3)
| ~ element(X3,the_carrier(poset_of_lattice(X1)))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_219]),c_0_220]),c_0_237]) ).
cnf(c_0_251,plain,
( X1 = join_on_relstr(X2,X3)
| ~ rel_str(X2)
| ~ ex_sup_of_relstr_set(X2,X3)
| ~ relstr_set_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ related(X2,X1,esk3_3(X2,X3,X1)) ),
i_0_27 ).
cnf(c_0_252,plain,
( X1 = join_on_relstr(poset_of_lattice(X2),X3)
| latt_element_smaller(X2,esk3_3(poset_of_lattice(X2),X3,X1),X3)
| empty_carrier(X2)
| ~ relstr_set_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_sup_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_238]),c_0_219]),c_0_239]) ).
cnf(c_0_253,plain,
( ex_sup_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| ~ below_refl(X1,X3,esk23_3(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3)))
| ~ relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_228]),c_0_219]),c_0_220]),c_0_224]) ).
cnf(c_0_254,plain,
( below_refl(X1,X2,esk23_3(poset_of_lattice(X1),X3,X4))
| ex_sup_of_relstr_set(poset_of_lattice(X1),X3)
| empty_carrier(X1)
| X2 != join_of_latt_set(X1,X3)
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,X4)
| ~ element(X4,the_carrier(poset_of_lattice(X1)))
| ~ element(X2,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_228]),c_0_244]),c_0_245]),c_0_246]) ).
cnf(c_0_255,plain,
( X1 = meet_on_relstr(X2,X3)
| element(esk1_3(X2,X3,X1),the_carrier(X2))
| ~ rel_str(X2)
| ~ ex_inf_of_relstr_set(X2,X3)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
i_0_15 ).
cnf(c_0_256,plain,
( ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| ~ below_refl(X1,esk25_3(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3)),X3)
| ~ relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_237]),c_0_219]),c_0_220]),c_0_224]) ).
cnf(c_0_257,plain,
( below_refl(X1,esk25_3(poset_of_lattice(X1),X2,X3),X4)
| ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| X4 != meet_of_latt_set(X1,X2)
| ~ relstr_element_smaller(poset_of_lattice(X1),X2,X3)
| ~ element(X3,the_carrier(poset_of_lattice(X1)))
| ~ element(X4,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_237]) ).
cnf(c_0_258,plain,
( cast_to_el_of_LattPOSet(X1,X2) = join_on_relstr(poset_of_lattice(X1),X3)
| empty_carrier(X1)
| ~ below_refl(X1,X2,esk3_3(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)))
| ~ relstr_set_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))
| ~ ex_sup_of_relstr_set(poset_of_lattice(X1),X3)
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_241]),c_0_239]),c_0_219]),c_0_224]) ).
cnf(c_0_259,plain,
( X1 = join_on_relstr(poset_of_lattice(X2),X3)
| below(X2,X4,esk3_3(poset_of_lattice(X2),X3,X1))
| empty_carrier(X2)
| X4 != join_of_latt_set(X2,X3)
| ~ relstr_set_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_sup_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ element(X4,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_252]),c_0_239]) ).
cnf(c_0_260,plain,
( ex_sup_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| X3 != join_of_latt_set(X1,X2)
| ~ relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ element(X3,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_224]) ).
cnf(c_0_261,plain,
( empty_carrier(X1)
| relstr_set_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_element_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_156 ).
cnf(c_0_262,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| X2 != join_of_latt_set(X1,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_22 ).
cnf(c_0_263,plain,
( X1 = meet_on_relstr(X2,X3)
| relstr_element_smaller(X2,X3,esk1_3(X2,X3,X1))
| ~ rel_str(X2)
| ~ ex_inf_of_relstr_set(X2,X3)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2)) ),
i_0_14 ).
cnf(c_0_264,plain,
( X1 = meet_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| element(esk1_3(poset_of_lattice(X2),X3,X1),the_carrier(X2))
| ~ relstr_element_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_inf_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_255]),c_0_219]) ).
cnf(c_0_265,plain,
( ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| X3 != meet_of_latt_set(X1,X2)
| ~ relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ element(X3,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_224]) ).
cnf(c_0_266,plain,
( empty_carrier(X1)
| relstr_element_smaller(poset_of_lattice(X1),X2,cast_to_el_of_LattPOSet(X1,X3))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ latt_set_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1)) ),
i_0_144 ).
cnf(c_0_267,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| X2 != meet_of_latt_set(X1,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ complete_latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_163 ).
cnf(c_0_268,plain,
( X1 = join_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| ~ below_refl(X2,X1,esk3_3(poset_of_lattice(X2),X3,X1))
| ~ relstr_set_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_sup_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(X2))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(spm,[status(thm)],[c_0_258,c_0_216]) ).
cnf(c_0_269,plain,
( X1 = join_on_relstr(poset_of_lattice(X2),X3)
| below_refl(X2,X4,esk3_3(poset_of_lattice(X2),X3,X1))
| empty_carrier(X2)
| X4 != join_of_latt_set(X2,X3)
| ~ relstr_set_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_sup_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ element(X4,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_259]),c_0_239]),c_0_244]),c_0_245]),c_0_246]) ).
cnf(c_0_270,plain,
( empty_carrier(X1)
| element(X2,the_carrier(poset_of_lattice(X1)))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_224,c_0_216]) ).
cnf(c_0_271,plain,
( ex_sup_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| X3 != join_of_latt_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]) ).
cnf(c_0_272,plain,
( X1 = meet_on_relstr(X2,X3)
| ~ rel_str(X2)
| ~ ex_inf_of_relstr_set(X2,X3)
| ~ relstr_element_smaller(X2,X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ related(X2,esk1_3(X2,X3,X1),X1) ),
i_0_13 ).
cnf(c_0_273,plain,
( related(poset_of_lattice(X1),X2,X3)
| empty_carrier(X1)
| ~ below_refl(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_216]) ).
cnf(c_0_274,plain,
( X1 = meet_on_relstr(poset_of_lattice(X2),X3)
| latt_set_smaller(X2,esk1_3(poset_of_lattice(X2),X3,X1),X3)
| empty_carrier(X2)
| ~ relstr_element_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_inf_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_263]),c_0_219]),c_0_264]) ).
cnf(c_0_275,plain,
( ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| X3 != meet_of_latt_set(X1,X2)
| ~ element(X3,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267]) ).
cnf(c_0_276,plain,
( empty_carrier(X1)
| element(meet_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
i_0_35 ).
cnf(c_0_277,plain,
( X1 = join_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| X1 != join_of_latt_set(X2,X3)
| ~ relstr_set_smaller(poset_of_lattice(X2),X3,X1)
| ~ element(X1,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]),c_0_271]) ).
cnf(c_0_278,plain,
( relstr_set_smaller(poset_of_lattice(X1),X2,X3)
| empty_carrier(X1)
| ~ latt_element_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_261,c_0_216]) ).
cnf(c_0_279,plain,
( X1 = meet_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| ~ below_refl(X2,esk1_3(poset_of_lattice(X2),X3,X1),X1)
| ~ relstr_element_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_inf_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_264]),c_0_217]),c_0_219]) ).
cnf(c_0_280,plain,
( X1 = meet_on_relstr(poset_of_lattice(X2),X3)
| below_refl(X2,esk1_3(poset_of_lattice(X2),X3,X1),X4)
| empty_carrier(X2)
| X4 != meet_of_latt_set(X2,X3)
| ~ relstr_element_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_inf_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ element(X4,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_274]),c_0_264]) ).
cnf(c_0_281,plain,
( ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| meet_of_latt_set(X1,X3) != meet_of_latt_set(X1,X2)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_282,plain,
( X1 = join_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| X1 != join_of_latt_set(X2,X3)
| ~ element(X1,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_262]) ).
cnf(c_0_283,plain,
( empty_carrier(X1)
| element(join_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
i_0_34 ).
cnf(c_0_284,plain,
( X1 = meet_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| X1 != meet_of_latt_set(X2,X3)
| ~ relstr_element_smaller(poset_of_lattice(X2),X3,X1)
| ~ ex_inf_of_relstr_set(poset_of_lattice(X2),X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_217]) ).
cnf(c_0_285,plain,
( relstr_element_smaller(poset_of_lattice(X1),X2,X3)
| empty_carrier(X1)
| ~ latt_set_smaller(X1,X3,X2)
| ~ element(X3,the_carrier(X1))
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_266,c_0_216]) ).
cnf(c_0_286,plain,
( ex_inf_of_relstr_set(poset_of_lattice(X1),X2)
| empty_carrier(X1)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(er,[status(thm)],[c_0_281]) ).
cnf(c_0_287,plain,
( join_of_latt_set(X1,X2) = join_on_relstr(poset_of_lattice(X1),X3)
| empty_carrier(X1)
| join_of_latt_set(X1,X2) != join_of_latt_set(X1,X3)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_282,c_0_283]) ).
cnf(c_0_288,plain,
( X1 = meet_on_relstr(poset_of_lattice(X2),X3)
| empty_carrier(X2)
| X1 != meet_of_latt_set(X2,X3)
| ~ latt_set_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(poset_of_lattice(X2)))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_217]),c_0_286]) ).
cnf(c_0_289,plain,
( latt_set_smaller(X1,meet_of_latt_set(X1,X2),X2)
| empty_carrier(X1)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_267]),c_0_276]) ).
cnf(c_0_290,negated_conjecture,
( join_on_relstr(poset_of_lattice(esk26_0),esk27_0) != join_of_latt_set(esk26_0,esk27_0)
| meet_on_relstr(poset_of_lattice(esk26_0),esk27_0) != meet_of_latt_set(esk26_0,esk27_0) ),
i_0_147 ).
cnf(c_0_291,plain,
( join_on_relstr(poset_of_lattice(X1),X2) = join_of_latt_set(X1,X2)
| empty_carrier(X1)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(er,[status(thm)],[c_0_287]) ).
cnf(c_0_292,negated_conjecture,
complete_latt_str(esk26_0),
i_0_149 ).
cnf(c_0_293,negated_conjecture,
lattice(esk26_0),
i_0_150 ).
cnf(c_0_294,negated_conjecture,
latt_str(esk26_0),
i_0_148 ).
cnf(c_0_295,negated_conjecture,
~ empty_carrier(esk26_0),
i_0_151 ).
cnf(c_0_296,plain,
( meet_on_relstr(poset_of_lattice(X1),X2) = meet_of_latt_set(X1,X2)
| empty_carrier(X1)
| ~ element(meet_of_latt_set(X1,X2),the_carrier(poset_of_lattice(X1)))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_297,negated_conjecture,
meet_on_relstr(poset_of_lattice(esk26_0),esk27_0) != meet_of_latt_set(esk26_0,esk27_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_290,c_0_291]),c_0_292]),c_0_293]),c_0_294])]),c_0_295]) ).
cnf(c_0_298,plain,
( meet_on_relstr(poset_of_lattice(X1),X2) = meet_of_latt_set(X1,X2)
| empty_carrier(X1)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_270]),c_0_276]) ).
cnf(c_0_299,plain,
$false,
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_297,c_0_298]),c_0_292]),c_0_293]),c_0_294])]),c_0_295]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU358+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n013.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 03:27:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected complete mode:
% 18.45/3.76 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 18.45/3.76 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 36; version: 991; iters: 150)
% 18.45/3.76 # Preprocessing time : 1.133 s
% 18.45/3.76
% 18.45/3.76 # Proof found!
% 18.45/3.76 # SZS status Theorem
% 18.45/3.76 # SZS output start CNFRefutation
% See solution above
% 18.45/3.76 # Training examples: 0 positive, 0 negative
% 18.45/3.76
% 18.45/3.76 # -------------------------------------------------
% 18.45/3.76 # User time : 1.230 s
% 18.45/3.76 # System time : 0.140 s
% 18.45/3.76 # Total time : 1.370 s
% 18.45/3.76 # ...preprocessing : 1.133 s
% 18.45/3.76 # ...main loop : 0.238 s
% 18.45/3.76 # Maximum resident set size: 175188 pages
% 18.45/3.76
%------------------------------------------------------------------------------