TSTP Solution File: SEU351+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU351+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n023.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 08:41:04 EDT 2022
% Result : Theorem 25.37s 4.98s
% Output : CNFRefutation 25.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 35
% Syntax : Number of clauses : 114 ( 17 unt; 77 nHn; 97 RR)
% Number of literals : 519 ( 54 equ; 317 neg)
% Maximal clause size : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 205 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ in(X3,X4)
| ~ latt_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_14) ).
cnf(i_0_43,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,esk9_3(X2,X1,X3),X3)
| ~ latt_str(X1)
| ~ in(X2,a_2_2_lattice3(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_43) ).
cnf(i_0_45,plain,
( empty_carrier(X1)
| element(esk9_3(X2,X1,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ in(X2,a_2_2_lattice3(X1,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_45) ).
cnf(i_0_44,plain,
( esk9_3(X1,X2,X3) = X1
| empty_carrier(X2)
| ~ latt_str(X2)
| ~ in(X1,a_2_2_lattice3(X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_44) ).
cnf(i_0_16,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| in(esk2_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_16) ).
cnf(i_0_15,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ below(X1,esk2_3(X1,X2,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_15) ).
cnf(i_0_22,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-58zwntsl/input.p',i_0_22) ).
cnf(i_0_24,plain,
( join_of_latt_set(X1,a_2_2_lattice3(X1,X2)) = meet_of_latt_set(X1,X2)
| empty_carrier(X1)
| ~ latt_str(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_24) ).
cnf(i_0_26,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-58zwntsl/input.p',i_0_26) ).
cnf(i_0_18,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ in(X2,X4)
| ~ latt_element_smaller(X1,X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_18) ).
cnf(i_0_20,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| latt_element_smaller(X2,esk3_3(X2,X3,X1),X3)
| ~ latt_str(X2)
| ~ lattice(X2)
| ~ complete_latt_str(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_20) ).
cnf(i_0_21,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| element(esk3_3(X2,X3,X1),the_carrier(X2))
| ~ latt_str(X2)
| ~ lattice(X2)
| ~ complete_latt_str(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_21) ).
cnf(i_0_62,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| latt_set_smaller(esk15_0,esk16_0,esk17_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_62) ).
cnf(i_0_68,negated_conjecture,
complete_latt_str(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_68) ).
cnf(i_0_69,negated_conjecture,
lattice(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_69) ).
cnf(i_0_67,negated_conjecture,
latt_str(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_67) ).
cnf(i_0_70,negated_conjecture,
~ empty_carrier(esk15_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_70) ).
cnf(i_0_55,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-58zwntsl/input.p',i_0_55) ).
cnf(i_0_61,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| below_refl(esk15_0,X1,esk16_0)
| ~ element(X1,the_carrier(esk15_0))
| ~ latt_set_smaller(esk15_0,X1,esk17_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_61) ).
cnf(i_0_66,negated_conjecture,
element(esk16_0,the_carrier(esk15_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_66) ).
cnf(i_0_19,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| ~ latt_str(X2)
| ~ lattice(X2)
| ~ complete_latt_str(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2))
| ~ below(X2,X1,esk3_3(X2,X3,X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_19) ).
cnf(i_0_23,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-58zwntsl/input.p',i_0_23) ).
cnf(i_0_11,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ below(X1,X2,esk1_3(X1,X2,X3)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_11) ).
cnf(i_0_2,plain,
( empty_carrier(X1)
| join_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_2) ).
cnf(i_0_42,plain,
( empty_carrier(X1)
| in(X2,a_2_2_lattice3(X1,X3))
| X4 != X2
| ~ latt_str(X1)
| ~ latt_set_smaller(X1,X4,X3)
| ~ element(X4,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_42) ).
cnf(i_0_13,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| element(esk1_3(X1,X2,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_13) ).
cnf(i_0_3,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_3) ).
cnf(i_0_12,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| in(esk1_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_12) ).
cnf(i_0_5,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_5) ).
cnf(i_0_25,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-58zwntsl/input.p',i_0_25) ).
cnf(i_0_63,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0)
| ~ below_refl(esk15_0,esk18_0,esk16_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_63) ).
cnf(i_0_54,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-58zwntsl/input.p',i_0_54) ).
cnf(i_0_65,negated_conjecture,
( element(esk18_0,the_carrier(esk15_0))
| meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_65) ).
cnf(i_0_17,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| element(esk2_3(X1,X2,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_17) ).
cnf(i_0_64,negated_conjecture,
( latt_set_smaller(esk15_0,esk18_0,esk17_0)
| meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-58zwntsl/input.p',i_0_64) ).
cnf(c_0_106,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ in(X3,X4)
| ~ latt_set_smaller(X1,X2,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_14 ).
cnf(c_0_107,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,esk9_3(X2,X1,X3),X3)
| ~ latt_str(X1)
| ~ in(X2,a_2_2_lattice3(X1,X3)) ),
i_0_43 ).
cnf(c_0_108,plain,
( empty_carrier(X1)
| element(esk9_3(X2,X1,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ in(X2,a_2_2_lattice3(X1,X3)) ),
i_0_45 ).
cnf(c_0_109,plain,
( esk9_3(X1,X2,X3) = X1
| empty_carrier(X2)
| ~ latt_str(X2)
| ~ in(X1,a_2_2_lattice3(X2,X3)) ),
i_0_44 ).
cnf(c_0_110,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| in(esk2_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_16 ).
cnf(c_0_111,plain,
( below(X1,esk9_3(X2,X1,X3),X4)
| empty_carrier(X1)
| ~ in(X2,a_2_2_lattice3(X1,X3))
| ~ in(X4,X3)
| ~ element(X4,the_carrier(X1))
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_112,plain,
( esk9_3(esk2_3(X1,X2,a_2_2_lattice3(X3,X4)),X3,X4) = esk2_3(X1,X2,a_2_2_lattice3(X3,X4))
| latt_element_smaller(X1,X2,a_2_2_lattice3(X3,X4))
| empty_carrier(X1)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X3)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_113,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ below(X1,esk2_3(X1,X2,X3),X2) ),
i_0_15 ).
cnf(c_0_114,plain,
( below(X1,esk2_3(X2,X3,a_2_2_lattice3(X1,X4)),X5)
| latt_element_smaller(X2,X3,a_2_2_lattice3(X1,X4))
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(X5,X4)
| ~ element(X5,the_carrier(X1))
| ~ element(X3,the_carrier(X2))
| ~ latt_str(X1)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_110]) ).
cnf(c_0_115,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_22 ).
cnf(c_0_116,plain,
( latt_element_smaller(X1,X2,a_2_2_lattice3(X1,X3))
| empty_carrier(X1)
| ~ in(X2,X3)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_117,plain,
( below(X1,X2,X3)
| empty_carrier(X1)
| X2 != join_of_latt_set(X1,a_2_2_lattice3(X1,X4))
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_118,plain,
( join_of_latt_set(X1,a_2_2_lattice3(X1,X2)) = meet_of_latt_set(X1,X2)
| empty_carrier(X1)
| ~ latt_str(X1) ),
i_0_24 ).
cnf(c_0_119,plain,
( below(X1,X2,X3)
| empty_carrier(X1)
| X2 != meet_of_latt_set(X1,X4)
| ~ in(X3,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_120,plain,
( empty_carrier(X1)
| element(meet_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
i_0_26 ).
cnf(c_0_121,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ latt_str(X1)
| ~ in(X2,X4)
| ~ latt_element_smaller(X1,X3,X4)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
i_0_18 ).
cnf(c_0_122,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| latt_element_smaller(X2,esk3_3(X2,X3,X1),X3)
| ~ latt_str(X2)
| ~ lattice(X2)
| ~ complete_latt_str(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2)) ),
i_0_20 ).
cnf(c_0_123,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| element(esk3_3(X2,X3,X1),the_carrier(X2))
| ~ latt_str(X2)
| ~ lattice(X2)
| ~ complete_latt_str(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2)) ),
i_0_21 ).
cnf(c_0_124,plain,
( below(X1,meet_of_latt_set(X1,X2),X3)
| empty_carrier(X1)
| ~ in(X3,X2)
| ~ element(X3,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_119]),c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| latt_set_smaller(esk15_0,esk16_0,esk17_0) ),
i_0_62 ).
cnf(c_0_126,negated_conjecture,
complete_latt_str(esk15_0),
i_0_68 ).
cnf(c_0_127,negated_conjecture,
lattice(esk15_0),
i_0_69 ).
cnf(c_0_128,negated_conjecture,
latt_str(esk15_0),
i_0_67 ).
cnf(c_0_129,negated_conjecture,
~ empty_carrier(esk15_0),
i_0_70 ).
cnf(c_0_130,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_55 ).
cnf(c_0_131,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| below_refl(esk15_0,X1,esk16_0)
| ~ element(X1,the_carrier(esk15_0))
| ~ latt_set_smaller(esk15_0,X1,esk17_0) ),
i_0_61 ).
cnf(c_0_132,negated_conjecture,
element(esk16_0,the_carrier(esk15_0)),
i_0_66 ).
cnf(c_0_133,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| ~ latt_str(X2)
| ~ lattice(X2)
| ~ complete_latt_str(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2))
| ~ below(X2,X1,esk3_3(X2,X3,X1)) ),
i_0_19 ).
cnf(c_0_134,plain,
( X1 = join_of_latt_set(X2,X3)
| below(X2,X4,esk3_3(X2,X3,X1))
| empty_carrier(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ in(X4,X3)
| ~ element(X4,the_carrier(X2))
| ~ element(X1,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]) ).
cnf(c_0_135,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_23 ).
cnf(c_0_136,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ below(X1,X2,esk1_3(X1,X2,X3)) ),
i_0_11 ).
cnf(c_0_137,negated_conjecture,
( below(esk15_0,esk16_0,X1)
| latt_set_smaller(esk15_0,esk16_0,esk17_0)
| ~ in(X1,esk17_0)
| ~ element(X1,the_carrier(esk15_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_124,c_0_125]),c_0_126]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_138,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| below(esk15_0,X1,esk16_0)
| ~ latt_set_smaller(esk15_0,X1,esk17_0)
| ~ join_absorbing(esk15_0)
| ~ meet_absorbing(esk15_0)
| ~ meet_commutative(esk15_0)
| ~ element(X1,the_carrier(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_128])]),c_0_129]) ).
cnf(c_0_139,plain,
( empty_carrier(X1)
| join_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_2 ).
cnf(c_0_140,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| ~ latt_element_smaller(X2,X1,X3)
| ~ in(X1,X3)
| ~ element(X1,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,plain,
( latt_element_smaller(X1,X2,a_2_2_lattice3(X1,X3))
| empty_carrier(X1)
| X2 != meet_of_latt_set(X1,X3)
| ~ element(X2,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_118]) ).
cnf(c_0_142,plain,
( empty_carrier(X1)
| in(X2,a_2_2_lattice3(X1,X3))
| X4 != X2
| ~ latt_str(X1)
| ~ latt_set_smaller(X1,X4,X3)
| ~ element(X4,the_carrier(X1)) ),
i_0_42 ).
cnf(c_0_143,plain,
( latt_set_smaller(esk15_0,esk16_0,esk17_0)
| latt_set_smaller(esk15_0,esk16_0,X1)
| ~ in(esk1_3(esk15_0,esk16_0,X1),esk17_0)
| ~ element(esk1_3(esk15_0,esk16_0,X1),the_carrier(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_132]),c_0_128])]),c_0_129]) ).
cnf(c_0_144,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| element(esk1_3(X1,X2,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_13 ).
cnf(c_0_145,plain,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| below(esk15_0,X1,esk16_0)
| ~ latt_set_smaller(esk15_0,X1,esk17_0)
| ~ meet_absorbing(esk15_0)
| ~ meet_commutative(esk15_0)
| ~ element(X1,the_carrier(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_146,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_3 ).
cnf(c_0_147,plain,
( X1 = join_of_latt_set(X2,a_2_2_lattice3(X2,X3))
| empty_carrier(X2)
| X1 != meet_of_latt_set(X2,X3)
| ~ in(X1,a_2_2_lattice3(X2,X3))
| ~ element(X1,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_148,plain,
( in(X1,a_2_2_lattice3(X2,X3))
| empty_carrier(X2)
| ~ latt_set_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2))
| ~ latt_str(X2) ),
inference(er,[status(thm)],[c_0_142]) ).
cnf(c_0_149,plain,
( latt_set_smaller(esk15_0,esk16_0,esk17_0)
| latt_set_smaller(esk15_0,esk16_0,X1)
| ~ in(esk1_3(esk15_0,esk16_0,X1),esk17_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_132]),c_0_128])]),c_0_129]) ).
cnf(c_0_150,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| in(esk1_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_12 ).
cnf(c_0_151,plain,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| below(esk15_0,X1,esk16_0)
| ~ latt_set_smaller(esk15_0,X1,esk17_0)
| ~ meet_commutative(esk15_0)
| ~ element(X1,the_carrier(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_152,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_5 ).
cnf(c_0_153,plain,
( empty_carrier(X1)
| element(join_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
i_0_25 ).
cnf(c_0_154,plain,
( X1 = join_of_latt_set(X2,a_2_2_lattice3(X2,X3))
| empty_carrier(X2)
| X1 != meet_of_latt_set(X2,X3)
| ~ latt_set_smaller(X2,X1,X3)
| ~ element(X1,the_carrier(X2))
| ~ complete_latt_str(X2)
| ~ lattice(X2)
| ~ latt_str(X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_155,plain,
latt_set_smaller(esk15_0,esk16_0,esk17_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_132]),c_0_128])]),c_0_129]) ).
cnf(c_0_156,plain,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| below(esk15_0,X1,esk16_0)
| ~ latt_set_smaller(esk15_0,X1,esk17_0)
| ~ element(X1,the_carrier(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_157,plain,
( latt_element_smaller(X1,X2,a_2_2_lattice3(X3,X4))
| latt_set_smaller(X3,esk2_3(X1,X2,a_2_2_lattice3(X3,X4)),X4)
| empty_carrier(X1)
| empty_carrier(X3)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X3)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_112]),c_0_110]) ).
cnf(c_0_158,plain,
( latt_element_smaller(X1,join_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_135]),c_0_153]) ).
cnf(c_0_159,plain,
( join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0)) = esk16_0
| meet_of_latt_set(esk15_0,esk17_0) != esk16_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(spm,[status(thm)],[c_0_154,c_0_155]),c_0_132]),c_0_126]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_160,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0)
| ~ below_refl(esk15_0,esk18_0,esk16_0) ),
i_0_63 ).
cnf(c_0_161,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_54 ).
cnf(c_0_162,negated_conjecture,
( element(esk18_0,the_carrier(esk15_0))
| meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0) ),
i_0_65 ).
cnf(c_0_163,plain,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| below(esk15_0,esk2_3(X1,X2,a_2_2_lattice3(esk15_0,esk17_0)),esk16_0)
| latt_element_smaller(X1,X2,a_2_2_lattice3(esk15_0,esk17_0))
| empty_carrier(X1)
| ~ element(esk2_3(X1,X2,a_2_2_lattice3(esk15_0,esk17_0)),the_carrier(esk15_0))
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_128])]),c_0_129]) ).
cnf(c_0_164,plain,
( latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))
| meet_of_latt_set(esk15_0,esk17_0) != esk16_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_158,c_0_159]),c_0_126]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_165,negated_conjecture,
( meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ below(esk15_0,esk18_0,esk16_0)
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0)
| ~ join_absorbing(esk15_0)
| ~ meet_absorbing(esk15_0)
| ~ meet_commutative(esk15_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_132]),c_0_128])]),c_0_129]),c_0_162]) ).
cnf(c_0_166,plain,
( latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))
| ~ element(esk2_3(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0)),the_carrier(esk15_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_163]),c_0_132]),c_0_128])]),c_0_129]),c_0_164]) ).
cnf(c_0_167,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| element(esk2_3(X1,X2,X3),the_carrier(X1))
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_17 ).
cnf(c_0_168,plain,
( meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ below(esk15_0,esk18_0,esk16_0)
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0)
| ~ meet_absorbing(esk15_0)
| ~ meet_commutative(esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_139]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_169,plain,
latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_132]),c_0_128])]),c_0_129]) ).
cnf(c_0_170,plain,
( meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ below(esk15_0,esk18_0,esk16_0)
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0)
| ~ meet_commutative(esk15_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_146]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_171,plain,
( join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0)) = esk16_0
| ~ in(esk16_0,a_2_2_lattice3(esk15_0,esk17_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(spm,[status(thm)],[c_0_140,c_0_169]),c_0_132]),c_0_126]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_172,plain,
( meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ below(esk15_0,esk18_0,esk16_0)
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_152]),c_0_127]),c_0_128])]),c_0_129]) ).
cnf(c_0_173,plain,
( meet_of_latt_set(esk15_0,esk17_0) = esk16_0
| ~ in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_171]),c_0_128])]),c_0_129]) ).
cnf(c_0_174,negated_conjecture,
( latt_set_smaller(esk15_0,esk18_0,esk17_0)
| meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ latt_set_smaller(esk15_0,esk16_0,esk17_0) ),
i_0_64 ).
cnf(c_0_175,plain,
( meet_of_latt_set(esk15_0,esk17_0) != esk16_0
| ~ below(esk15_0,esk18_0,esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_155])]) ).
cnf(c_0_176,plain,
meet_of_latt_set(esk15_0,esk17_0) = esk16_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_173,c_0_148]),c_0_155]),c_0_132]),c_0_128])]),c_0_129]) ).
cnf(c_0_177,plain,
( below(esk15_0,X1,esk16_0)
| ~ in(X1,a_2_2_lattice3(esk15_0,esk17_0))
| ~ element(X1,the_carrier(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_169]),c_0_132]),c_0_128])]),c_0_129]) ).
cnf(c_0_178,negated_conjecture,
( latt_set_smaller(esk15_0,esk18_0,esk17_0)
| meet_of_latt_set(esk15_0,esk17_0) != esk16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_155])]) ).
cnf(c_0_179,negated_conjecture,
( element(esk18_0,the_carrier(esk15_0))
| meet_of_latt_set(esk15_0,esk17_0) != esk16_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_155])]) ).
cnf(c_0_180,plain,
~ below(esk15_0,esk18_0,esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176])]) ).
cnf(c_0_181,plain,
( below(esk15_0,X1,esk16_0)
| ~ latt_set_smaller(esk15_0,X1,esk17_0)
| ~ element(X1,the_carrier(esk15_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_148]),c_0_128])]),c_0_129]) ).
cnf(c_0_182,negated_conjecture,
latt_set_smaller(esk15_0,esk18_0,esk17_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_176])]) ).
cnf(c_0_183,negated_conjecture,
element(esk18_0,the_carrier(esk15_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_176])]) ).
cnf(c_0_184,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_182]),c_0_183])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SEU351+1 : TPTP v8.1.0. Released v3.3.0.
% 0.09/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Sun Jun 19 19:20:35 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.40 # ENIGMATIC: Selected complete mode:
% 25.37/4.98 # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 25.37/4.98 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 66; version: 991; iters: 150)
% 25.37/4.98 # Preprocessing time : 1.413 s
% 25.37/4.98
% 25.37/4.98 # Proof found!
% 25.37/4.98 # SZS status Theorem
% 25.37/4.98 # SZS output start CNFRefutation
% See solution above
% 25.37/4.98 # Training examples: 0 positive, 0 negative
% 25.37/4.98
% 25.37/4.98 # -------------------------------------------------
% 25.37/4.98 # User time : 1.473 s
% 25.37/4.98 # System time : 0.124 s
% 25.37/4.98 # Total time : 1.597 s
% 25.37/4.98 # ...preprocessing : 1.413 s
% 25.37/4.98 # ...main loop : 0.184 s
% 25.37/4.98 # Maximum resident set size: 167640 pages
% 25.37/4.98
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