TSTP Solution File: SEU352+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU352+1 : 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 08:41:05 EDT 2022
% Result : Theorem 8.36s 2.46s
% Output : CNFRefutation 8.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of clauses : 104 ( 21 unt; 62 nHn; 94 RR)
% Number of literals : 439 ( 51 equ; 277 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 168 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_114,plain,
( X1 = empty_set
| ~ empty(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_114) ).
cnf(i_0_86,plain,
empty(esk15_1(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_86) ).
cnf(i_0_87,plain,
element(esk15_1(X1),powerset(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_87) ).
cnf(i_0_113,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_113) ).
cnf(i_0_24,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| in(esk4_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_24) ).
cnf(i_0_69,plain,
empty(empty_set),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_69) ).
cnf(i_0_31,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/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_31) ).
cnf(i_0_115,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_115) ).
cnf(i_0_35,plain,
( empty_carrier(X1)
| element(join_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_35) ).
cnf(i_0_19,plain,
( X1 = bottom_of_semilattstr(X2)
| empty_carrier(X2)
| meet(X2,X1,esk3_2(X2,X1)) != X1
| meet(X2,esk3_2(X2,X1),X1) != X1
| ~ meet_semilatt_str(X2)
| ~ lower_bounded_semilattstr(X2)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_19) ).
cnf(i_0_16,plain,
( meet(X1,X2,esk1_1(X1)) = esk1_1(X1)
| empty_carrier(X1)
| ~ meet_semilatt_str(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_16) ).
cnf(i_0_18,plain,
( empty_carrier(X1)
| element(esk1_1(X1),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ lower_bounded_semilattstr(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_18) ).
cnf(i_0_17,plain,
( meet(X1,esk1_1(X1),X2) = esk1_1(X1)
| empty_carrier(X1)
| ~ meet_semilatt_str(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_17) ).
cnf(i_0_103,plain,
( X1 = X2
| empty_carrier(X3)
| ~ join_commutative(X3)
| ~ join_semilatt_str(X3)
| ~ below(X3,X2,X1)
| ~ below(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_103) ).
cnf(i_0_51,plain,
( join_semilatt_str(X1)
| ~ latt_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_51) ).
cnf(i_0_7,plain,
( empty_carrier(X1)
| join_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_7) ).
cnf(i_0_20,plain,
( X1 = bottom_of_semilattstr(X2)
| empty_carrier(X2)
| element(esk3_2(X2,X1),the_carrier(X2))
| ~ meet_semilatt_str(X2)
| ~ lower_bounded_semilattstr(X2)
| ~ element(X1,the_carrier(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_20) ).
cnf(i_0_102,plain,
( empty_carrier(X1)
| below(X1,meet_commut(X1,X2,X3),X2)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_102) ).
cnf(i_0_94,plain,
( meet_commut(X1,X2,X3) = meet(X1,X2,X3)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_94) ).
cnf(i_0_52,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_52) ).
cnf(i_0_110,negated_conjecture,
complete_latt_str(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_110) ).
cnf(i_0_111,negated_conjecture,
lattice(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_111) ).
cnf(i_0_109,negated_conjecture,
latt_str(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_109) ).
cnf(i_0_112,negated_conjecture,
~ empty_carrier(esk19_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_112) ).
cnf(i_0_28,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,esk5_3(X2,X3,X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_28) ).
cnf(i_0_30,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| element(esk5_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/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_30) ).
cnf(i_0_5,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_5) ).
cnf(i_0_3,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_3) ).
cnf(i_0_13,plain,
( meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_13) ).
cnf(i_0_108,negated_conjecture,
( empty_carrier(esk19_0)
| join_of_latt_set(esk19_0,empty_set) != bottom_of_semilattstr(esk19_0)
| ~ latt_str(esk19_0)
| ~ lattice(esk19_0)
| ~ lower_bounded_semilattstr(esk19_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_108) ).
cnf(i_0_47,plain,
( empty_carrier(X1)
| element(bottom_of_semilattstr(X1),the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_47) ).
cnf(i_0_14,plain,
( empty_carrier(X1)
| lower_bounded_semilattstr(X1)
| meet(X1,X2,esk2_2(X1,X2)) != X2
| meet(X1,esk2_2(X1,X2),X2) != X2
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_14) ).
cnf(i_0_15,plain,
( empty_carrier(X1)
| lower_bounded_semilattstr(X1)
| element(esk2_2(X1,X2),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_15) ).
cnf(i_0_42,plain,
( empty_carrier(X1)
| element(meet(X1,X2,X3),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-e372p_ov/input.p',i_0_42) ).
cnf(c_0_150,plain,
( X1 = empty_set
| ~ empty(X1) ),
i_0_114 ).
cnf(c_0_151,plain,
empty(esk15_1(X1)),
i_0_86 ).
cnf(c_0_152,plain,
element(esk15_1(X1),powerset(X1)),
i_0_87 ).
cnf(c_0_153,plain,
esk15_1(X1) = empty_set,
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_154,plain,
( ~ empty(X1)
| ~ in(X2,X3)
| ~ element(X3,powerset(X1)) ),
i_0_113 ).
cnf(c_0_155,plain,
element(empty_set,powerset(X1)),
inference(rw,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_156,plain,
( ~ in(X1,empty_set)
| ~ empty(X2) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_157,plain,
( empty_carrier(X1)
| latt_element_smaller(X1,X2,X3)
| in(esk4_3(X1,X2,X3),X3)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_24 ).
cnf(c_0_158,plain,
( latt_element_smaller(X1,X2,empty_set)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ empty(X3)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_159,plain,
empty(empty_set),
i_0_69 ).
cnf(c_0_160,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_31 ).
cnf(c_0_161,plain,
( latt_element_smaller(X1,X2,empty_set)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_162,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
i_0_115 ).
cnf(c_0_163,plain,
( below(X1,X2,X3)
| empty_carrier(X1)
| X2 != join_of_latt_set(X1,empty_set)
| ~ 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_160,c_0_161]) ).
cnf(c_0_164,plain,
( empty_carrier(X1)
| element(join_of_latt_set(X1,X2),the_carrier(X1))
| ~ latt_str(X1) ),
i_0_35 ).
cnf(c_0_165,plain,
( latt_element_smaller(X1,X2,X3)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ empty(X3)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_162,c_0_157]) ).
cnf(c_0_166,plain,
( X1 = bottom_of_semilattstr(X2)
| empty_carrier(X2)
| meet(X2,X1,esk3_2(X2,X1)) != X1
| meet(X2,esk3_2(X2,X1),X1) != X1
| ~ meet_semilatt_str(X2)
| ~ lower_bounded_semilattstr(X2)
| ~ element(X1,the_carrier(X2)) ),
i_0_19 ).
cnf(c_0_167,plain,
( meet(X1,X2,esk1_1(X1)) = esk1_1(X1)
| empty_carrier(X1)
| ~ meet_semilatt_str(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_16 ).
cnf(c_0_168,plain,
( empty_carrier(X1)
| element(esk1_1(X1),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ lower_bounded_semilattstr(X1) ),
i_0_18 ).
cnf(c_0_169,plain,
( meet(X1,esk1_1(X1),X2) = esk1_1(X1)
| empty_carrier(X1)
| ~ meet_semilatt_str(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_17 ).
cnf(c_0_170,plain,
( X1 = X2
| empty_carrier(X3)
| ~ join_commutative(X3)
| ~ join_semilatt_str(X3)
| ~ below(X3,X2,X1)
| ~ below(X3,X1,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X1,the_carrier(X3)) ),
i_0_103 ).
cnf(c_0_171,plain,
( below(X1,join_of_latt_set(X1,empty_set),X2)
| empty_carrier(X1)
| ~ element(X2,the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_163]),c_0_164]) ).
cnf(c_0_172,plain,
( join_semilatt_str(X1)
| ~ latt_str(X1) ),
i_0_51 ).
cnf(c_0_173,plain,
( empty_carrier(X1)
| join_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_7 ).
cnf(c_0_174,plain,
( below(X1,X2,X3)
| empty_carrier(X1)
| X2 != join_of_latt_set(X1,X4)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ empty(X4)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_160,c_0_165]) ).
cnf(c_0_175,plain,
( esk1_1(X1) = bottom_of_semilattstr(X1)
| empty_carrier(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ element(esk3_2(X1,esk1_1(X1)),the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),c_0_169]) ).
cnf(c_0_176,plain,
( X1 = bottom_of_semilattstr(X2)
| empty_carrier(X2)
| element(esk3_2(X2,X1),the_carrier(X2))
| ~ meet_semilatt_str(X2)
| ~ lower_bounded_semilattstr(X2)
| ~ element(X1,the_carrier(X2)) ),
i_0_20 ).
cnf(c_0_177,plain,
( X1 = join_of_latt_set(X2,empty_set)
| empty_carrier(X2)
| ~ below(X2,X1,join_of_latt_set(X2,empty_set))
| ~ element(X1,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(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_164]),c_0_173]) ).
cnf(c_0_178,plain,
( below(X1,join_of_latt_set(X1,X2),X3)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ empty(X2)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_174]),c_0_164]) ).
cnf(c_0_179,plain,
( empty_carrier(X1)
| below(X1,meet_commut(X1,X2,X3),X2)
| ~ latt_str(X1)
| ~ meet_commutative(X1)
| ~ meet_absorbing(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_102 ).
cnf(c_0_180,plain,
( meet_commut(X1,X2,X3) = meet(X1,X2,X3)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_94 ).
cnf(c_0_181,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
i_0_52 ).
cnf(c_0_182,plain,
( esk1_1(X1) = bottom_of_semilattstr(X1)
| empty_carrier(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ meet_semilatt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_168]) ).
cnf(c_0_183,plain,
( join_of_latt_set(X1,X2) = join_of_latt_set(X1,empty_set)
| empty_carrier(X1)
| ~ empty(X2)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_164]),c_0_164]) ).
cnf(c_0_184,negated_conjecture,
complete_latt_str(esk19_0),
i_0_110 ).
cnf(c_0_185,negated_conjecture,
lattice(esk19_0),
i_0_111 ).
cnf(c_0_186,negated_conjecture,
latt_str(esk19_0),
i_0_109 ).
cnf(c_0_187,negated_conjecture,
~ empty_carrier(esk19_0),
i_0_112 ).
cnf(c_0_188,plain,
( below(X1,meet(X1,X2,X3),X2)
| empty_carrier(X1)
| ~ meet_absorbing(X1)
| ~ meet_commutative(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]) ).
cnf(c_0_189,plain,
( meet(X1,X2,bottom_of_semilattstr(X1)) = bottom_of_semilattstr(X1)
| empty_carrier(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_182]) ).
cnf(c_0_190,negated_conjecture,
( join_of_latt_set(esk19_0,X1) = join_of_latt_set(esk19_0,empty_set)
| ~ empty(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_186])]),c_0_187]) ).
cnf(c_0_191,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,esk5_3(X2,X3,X1)) ),
i_0_28 ).
cnf(c_0_192,plain,
( below(X1,bottom_of_semilattstr(X1),X2)
| empty_carrier(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ meet_absorbing(X1)
| ~ meet_commutative(X1)
| ~ element(bottom_of_semilattstr(X1),the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_189]),c_0_181]) ).
cnf(c_0_193,plain,
( X1 = join_of_latt_set(X2,X3)
| empty_carrier(X2)
| element(esk5_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_30 ).
cnf(c_0_194,plain,
( empty_carrier(X1)
| meet_commutative(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_5 ).
cnf(c_0_195,plain,
( empty_carrier(X1)
| meet_absorbing(X1)
| ~ latt_str(X1)
| ~ lattice(X1) ),
i_0_3 ).
cnf(c_0_196,plain,
( meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_13 ).
cnf(c_0_197,plain,
( element(join_of_latt_set(esk19_0,empty_set),the_carrier(esk19_0))
| ~ empty(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_190]),c_0_186])]),c_0_187]) ).
cnf(c_0_198,plain,
( bottom_of_semilattstr(X1) = join_of_latt_set(X1,X2)
| empty_carrier(X1)
| ~ latt_element_smaller(X1,bottom_of_semilattstr(X1),X2)
| ~ lower_bounded_semilattstr(X1)
| ~ element(bottom_of_semilattstr(X1),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(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_194]),c_0_195]) ).
cnf(c_0_199,plain,
( meet_commut(X1,X2,X3) = meet(X1,X3,X2)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_196]) ).
cnf(c_0_200,plain,
( X1 = join_of_latt_set(esk19_0,empty_set)
| ~ below(esk19_0,X1,join_of_latt_set(esk19_0,empty_set))
| ~ element(X1,the_carrier(esk19_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_177,c_0_190]),c_0_184]),c_0_185]),c_0_186]),c_0_159])]),c_0_187]) ).
cnf(c_0_201,plain,
element(join_of_latt_set(esk19_0,empty_set),the_carrier(esk19_0)),
inference(spm,[status(thm)],[c_0_197,c_0_159]) ).
cnf(c_0_202,negated_conjecture,
( empty_carrier(esk19_0)
| join_of_latt_set(esk19_0,empty_set) != bottom_of_semilattstr(esk19_0)
| ~ latt_str(esk19_0)
| ~ lattice(esk19_0)
| ~ lower_bounded_semilattstr(esk19_0) ),
i_0_108 ).
cnf(c_0_203,plain,
( bottom_of_semilattstr(X1) = join_of_latt_set(X1,empty_set)
| empty_carrier(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ element(bottom_of_semilattstr(X1),the_carrier(X1))
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(spm,[status(thm)],[c_0_198,c_0_161]) ).
cnf(c_0_204,plain,
( empty_carrier(X1)
| element(bottom_of_semilattstr(X1),the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
i_0_47 ).
cnf(c_0_205,plain,
( empty_carrier(X1)
| lower_bounded_semilattstr(X1)
| meet(X1,X2,esk2_2(X1,X2)) != X2
| meet(X1,esk2_2(X1,X2),X2) != X2
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_14 ).
cnf(c_0_206,plain,
( meet(X1,X2,X3) = meet(X1,X3,X2)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_199]) ).
cnf(c_0_207,plain,
( empty_carrier(X1)
| lower_bounded_semilattstr(X1)
| element(esk2_2(X1,X2),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1)) ),
i_0_15 ).
cnf(c_0_208,plain,
( meet(esk19_0,join_of_latt_set(esk19_0,empty_set),X1) = join_of_latt_set(esk19_0,empty_set)
| ~ meet_absorbing(esk19_0)
| ~ meet_commutative(esk19_0)
| ~ element(meet(esk19_0,join_of_latt_set(esk19_0,empty_set),X1),the_carrier(esk19_0))
| ~ element(X1,the_carrier(esk19_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_188]),c_0_201]),c_0_186])]),c_0_187]) ).
cnf(c_0_209,plain,
( empty_carrier(X1)
| element(meet(X1,X2,X3),the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1)) ),
i_0_42 ).
cnf(c_0_210,negated_conjecture,
meet_semilatt_str(esk19_0),
inference(spm,[status(thm)],[c_0_181,c_0_186]) ).
cnf(c_0_211,negated_conjecture,
( bottom_of_semilattstr(esk19_0) != join_of_latt_set(esk19_0,empty_set)
| ~ lower_bounded_semilattstr(esk19_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_186]),c_0_185])]),c_0_187]) ).
cnf(c_0_212,plain,
( bottom_of_semilattstr(X1) = join_of_latt_set(X1,empty_set)
| empty_carrier(X1)
| ~ lower_bounded_semilattstr(X1)
| ~ complete_latt_str(X1)
| ~ lattice(X1)
| ~ latt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_181]) ).
cnf(c_0_213,plain,
( lower_bounded_semilattstr(X1)
| empty_carrier(X1)
| meet(X1,X2,esk2_2(X1,X2)) != X2
| ~ meet_commutative(X1)
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207]) ).
cnf(c_0_214,plain,
( meet(esk19_0,join_of_latt_set(esk19_0,empty_set),X1) = join_of_latt_set(esk19_0,empty_set)
| ~ meet_absorbing(esk19_0)
| ~ meet_commutative(esk19_0)
| ~ element(X1,the_carrier(esk19_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_209]),c_0_201]),c_0_210])]),c_0_187]) ).
cnf(c_0_215,negated_conjecture,
~ lower_bounded_semilattstr(esk19_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_211,c_0_212]),c_0_184]),c_0_185]),c_0_186])]),c_0_187]) ).
cnf(c_0_216,plain,
( ~ meet_absorbing(esk19_0)
| ~ meet_commutative(esk19_0)
| ~ element(esk2_2(esk19_0,join_of_latt_set(esk19_0,empty_set)),the_carrier(esk19_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_201]),c_0_210])]),c_0_215]),c_0_187]) ).
cnf(c_0_217,plain,
( ~ meet_absorbing(esk19_0)
| ~ meet_commutative(esk19_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_207]),c_0_201]),c_0_210])]),c_0_215]),c_0_187]) ).
cnf(c_0_218,plain,
~ meet_commutative(esk19_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_195]),c_0_185]),c_0_186])]),c_0_187]) ).
cnf(c_0_219,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_194]),c_0_185]),c_0_186])]),c_0_187]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU352+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % 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 17:11:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41 # ENIGMATIC: Selected complete mode:
% 8.36/2.46 # ENIGMATIC: Solved by autoschedule:
% 8.36/2.46 # No SInE strategy applied
% 8.36/2.46 # Trying AutoSched0 for 150 seconds
% 8.36/2.46 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 8.36/2.46 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.36/2.46 #
% 8.36/2.46 # Preprocessing time : 0.021 s
% 8.36/2.46
% 8.36/2.46 # Proof found!
% 8.36/2.46 # SZS status Theorem
% 8.36/2.46 # SZS output start CNFRefutation
% See solution above
% 8.36/2.46 # Training examples: 0 positive, 0 negative
% 8.36/2.46
% 8.36/2.46 # -------------------------------------------------
% 8.36/2.46 # User time : 0.106 s
% 8.36/2.46 # System time : 0.008 s
% 8.36/2.46 # Total time : 0.114 s
% 8.36/2.46 # Maximum resident set size: 7120 pages
% 8.36/2.46
%------------------------------------------------------------------------------