TSTP Solution File: SEU352+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU352+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 03:55:16 EST 2010
% Result : Theorem 19.09s
% Output : Solution 19.09s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP28522/SEU352+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP28522/SEU352+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28522/SEU352+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 28618
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.02 WC
% PrfWatch: 3.94 CPU 4.03 WC
% PrfWatch: 5.93 CPU 6.04 WC
% PrfWatch: 7.52 CPU 8.04 WC
% PrfWatch: 9.15 CPU 10.05 WC
% PrfWatch: 11.14 CPU 12.06 WC
% PrfWatch: 13.13 CPU 14.06 WC
% # Preprocessing time : 0.025 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 15.12 CPU 16.07 WC
% PrfWatch: 17.11 CPU 18.08 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(empty(X1)=>X1=empty_set),file('/tmp/SRASS.s.p', t6_boole)).
% fof(3, axiom,![X1]:![X2]:((~(empty_carrier(X1))&latt_str(X1))=>element(join_of_latt_set(X1,X2),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_k15_lattice3)).
% fof(4, axiom,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:![X3]:(element(X3,the_carrier(X1))=>(X3=join_of_latt_set(X1,X2)<=>(latt_element_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(latt_element_smaller(X1,X4,X2)=>below(X1,X3,X4)))))))),file('/tmp/SRASS.s.p', d21_lattice3)).
% fof(6, axiom,![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)=>![X2]:(element(X2,the_carrier(X1))=>(X2=bottom_of_semilattstr(X1)<=>![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2)))))),file('/tmp/SRASS.s.p', d16_lattices)).
% fof(11, axiom,?[X1]:empty(X1),file('/tmp/SRASS.s.p', rc1_xboole_0)).
% fof(14, axiom,![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)<=>?[X2]:(element(X2,the_carrier(X1))&![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2))))),file('/tmp/SRASS.s.p', d13_lattices)).
% fof(15, axiom,![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>element(bottom_of_semilattstr(X1),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_k5_lattices)).
% fof(17, axiom,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_element_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X4,X2)))))),file('/tmp/SRASS.s.p', d17_lattice3)).
% fof(18, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet(X1,X2,X3)),file('/tmp/SRASS.s.p', redefinition_k4_lattices)).
% fof(21, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)),file('/tmp/SRASS.s.p', commutativity_k4_lattices)).
% fof(22, axiom,![X1]:(latt_str(X1)=>(meet_semilatt_str(X1)&join_semilatt_str(X1))),file('/tmp/SRASS.s.p', dt_l3_lattices)).
% fof(25, axiom,![X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((below(X1,X2,X3)&below(X1,X3,X2))=>X2=X3)))),file('/tmp/SRASS.s.p', t26_lattices)).
% fof(26, axiom,![X1]:(latt_str(X1)=>((~(empty_carrier(X1))&lattice(X1))=>((((((~(empty_carrier(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1)))),file('/tmp/SRASS.s.p', cc1_lattices)).
% fof(28, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet_commut(X1,X2,X3),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_k4_lattices)).
% fof(29, axiom,![X1]:((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>below(X1,meet_commut(X1,X2,X3),X2)))),file('/tmp/SRASS.s.p', t23_lattices)).
% fof(40, axiom,![X1]:![X2]:~((in(X1,X2)&empty(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(48, axiom,![X1]:![X2]:![X3]:~(((in(X1,X2)&element(X2,powerset(X3)))&empty(X3))),file('/tmp/SRASS.s.p', t5_subset)).
% fof(50, axiom,![X1]:?[X2]:(element(X2,powerset(X1))&empty(X2)),file('/tmp/SRASS.s.p', rc2_subset_1)).
% fof(73, conjecture,![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>((((~(empty_carrier(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&latt_str(X1))&bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set))),file('/tmp/SRASS.s.p', t50_lattice3)).
% fof(74, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>((((~(empty_carrier(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&latt_str(X1))&bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set)))),inference(assume_negation,[status(cth)],[73])).
% fof(75, plain,![X1]:![X2]:((~(empty_carrier(X1))&latt_str(X1))=>element(join_of_latt_set(X1,X2),the_carrier(X1))),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(76, plain,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:![X3]:(element(X3,the_carrier(X1))=>(X3=join_of_latt_set(X1,X2)<=>(latt_element_smaller(X1,X3,X2)&![X4]:(element(X4,the_carrier(X1))=>(latt_element_smaller(X1,X4,X2)=>below(X1,X3,X4)))))))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(77, plain,![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)=>![X2]:(element(X2,the_carrier(X1))=>(X2=bottom_of_semilattstr(X1)<=>![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2)))))),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(79, plain,![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>(lower_bounded_semilattstr(X1)<=>?[X2]:(element(X2,the_carrier(X1))&![X3]:(element(X3,the_carrier(X1))=>(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2))))),inference(fof_simplification,[status(thm)],[14,theory(equality)])).
% fof(80, plain,![X1]:((~(empty_carrier(X1))&meet_semilatt_str(X1))=>element(bottom_of_semilattstr(X1),the_carrier(X1))),inference(fof_simplification,[status(thm)],[15,theory(equality)])).
% fof(82, plain,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_element_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X4,X2)))))),inference(fof_simplification,[status(thm)],[17,theory(equality)])).
% fof(83, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet(X1,X2,X3)),inference(fof_simplification,[status(thm)],[18,theory(equality)])).
% fof(86, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)),inference(fof_simplification,[status(thm)],[21,theory(equality)])).
% fof(87, plain,![X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((below(X1,X2,X3)&below(X1,X3,X2))=>X2=X3)))),inference(fof_simplification,[status(thm)],[25,theory(equality)])).
% fof(88, plain,![X1]:(latt_str(X1)=>((~(empty_carrier(X1))&lattice(X1))=>((((((~(empty_carrier(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1)))),inference(fof_simplification,[status(thm)],[26,theory(equality)])).
% fof(90, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&meet_commutative(X1))&meet_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>element(meet_commut(X1,X2,X3),the_carrier(X1))),inference(fof_simplification,[status(thm)],[28,theory(equality)])).
% fof(91, plain,![X1]:((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>below(X1,meet_commut(X1,X2,X3),X2)))),inference(fof_simplification,[status(thm)],[29,theory(equality)])).
% fof(106, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>((((~(empty_carrier(X1))&lattice(X1))&lower_bounded_semilattstr(X1))&latt_str(X1))&bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set)))),inference(fof_simplification,[status(thm)],[74,theory(equality)])).
% fof(110, plain,![X1]:(~(empty(X1))|X1=empty_set),inference(fof_nnf,[status(thm)],[2])).
% fof(111, plain,![X2]:(~(empty(X2))|X2=empty_set),inference(variable_rename,[status(thm)],[110])).
% cnf(112,plain,(X1=empty_set|~empty(X1)),inference(split_conjunct,[status(thm)],[111])).
% fof(113, plain,![X1]:![X2]:((empty_carrier(X1)|~(latt_str(X1)))|element(join_of_latt_set(X1,X2),the_carrier(X1))),inference(fof_nnf,[status(thm)],[75])).
% fof(114, plain,![X3]:![X4]:((empty_carrier(X3)|~(latt_str(X3)))|element(join_of_latt_set(X3,X4),the_carrier(X3))),inference(variable_rename,[status(thm)],[113])).
% cnf(115,plain,(element(join_of_latt_set(X1,X2),the_carrier(X1))|empty_carrier(X1)|~latt_str(X1)),inference(split_conjunct,[status(thm)],[114])).
% fof(116, plain,![X1]:((empty_carrier(X1)|~(latt_str(X1)))|((((empty_carrier(X1)|~(lattice(X1)))|~(complete_latt_str(X1)))|~(latt_str(X1)))|![X2]:![X3]:(~(element(X3,the_carrier(X1)))|((~(X3=join_of_latt_set(X1,X2))|(latt_element_smaller(X1,X3,X2)&![X4]:(~(element(X4,the_carrier(X1)))|(~(latt_element_smaller(X1,X4,X2))|below(X1,X3,X4)))))&((~(latt_element_smaller(X1,X3,X2))|?[X4]:(element(X4,the_carrier(X1))&(latt_element_smaller(X1,X4,X2)&~(below(X1,X3,X4)))))|X3=join_of_latt_set(X1,X2)))))),inference(fof_nnf,[status(thm)],[76])).
% fof(117, plain,![X5]:((empty_carrier(X5)|~(latt_str(X5)))|((((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5)))|![X6]:![X7]:(~(element(X7,the_carrier(X5)))|((~(X7=join_of_latt_set(X5,X6))|(latt_element_smaller(X5,X7,X6)&![X8]:(~(element(X8,the_carrier(X5)))|(~(latt_element_smaller(X5,X8,X6))|below(X5,X7,X8)))))&((~(latt_element_smaller(X5,X7,X6))|?[X9]:(element(X9,the_carrier(X5))&(latt_element_smaller(X5,X9,X6)&~(below(X5,X7,X9)))))|X7=join_of_latt_set(X5,X6)))))),inference(variable_rename,[status(thm)],[116])).
% fof(118, plain,![X5]:((empty_carrier(X5)|~(latt_str(X5)))|((((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5)))|![X6]:![X7]:(~(element(X7,the_carrier(X5)))|((~(X7=join_of_latt_set(X5,X6))|(latt_element_smaller(X5,X7,X6)&![X8]:(~(element(X8,the_carrier(X5)))|(~(latt_element_smaller(X5,X8,X6))|below(X5,X7,X8)))))&((~(latt_element_smaller(X5,X7,X6))|(element(esk2_3(X5,X6,X7),the_carrier(X5))&(latt_element_smaller(X5,esk2_3(X5,X6,X7),X6)&~(below(X5,X7,esk2_3(X5,X6,X7))))))|X7=join_of_latt_set(X5,X6)))))),inference(skolemize,[status(esa)],[117])).
% fof(119, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(element(X8,the_carrier(X5)))|(~(latt_element_smaller(X5,X8,X6))|below(X5,X7,X8)))&latt_element_smaller(X5,X7,X6))|~(X7=join_of_latt_set(X5,X6)))&((~(latt_element_smaller(X5,X7,X6))|(element(esk2_3(X5,X6,X7),the_carrier(X5))&(latt_element_smaller(X5,esk2_3(X5,X6,X7),X6)&~(below(X5,X7,esk2_3(X5,X6,X7))))))|X7=join_of_latt_set(X5,X6)))|~(element(X7,the_carrier(X5))))|(((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5))))|(empty_carrier(X5)|~(latt_str(X5)))),inference(shift_quantors,[status(thm)],[118])).
% fof(120, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(element(X8,the_carrier(X5)))|(~(latt_element_smaller(X5,X8,X6))|below(X5,X7,X8)))|~(X7=join_of_latt_set(X5,X6)))|~(element(X7,the_carrier(X5))))|(((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&((((latt_element_smaller(X5,X7,X6)|~(X7=join_of_latt_set(X5,X6)))|~(element(X7,the_carrier(X5))))|(((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5))))|(empty_carrier(X5)|~(latt_str(X5)))))&((((((element(esk2_3(X5,X6,X7),the_carrier(X5))|~(latt_element_smaller(X5,X7,X6)))|X7=join_of_latt_set(X5,X6))|~(element(X7,the_carrier(X5))))|(((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&((((((latt_element_smaller(X5,esk2_3(X5,X6,X7),X6)|~(latt_element_smaller(X5,X7,X6)))|X7=join_of_latt_set(X5,X6))|~(element(X7,the_carrier(X5))))|(((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&(((((~(below(X5,X7,esk2_3(X5,X6,X7)))|~(latt_element_smaller(X5,X7,X6)))|X7=join_of_latt_set(X5,X6))|~(element(X7,the_carrier(X5))))|(((empty_carrier(X5)|~(lattice(X5)))|~(complete_latt_str(X5)))|~(latt_str(X5))))|(empty_carrier(X5)|~(latt_str(X5))))))),inference(distribute,[status(thm)],[119])).
% cnf(125,plain,(empty_carrier(X1)|empty_carrier(X1)|below(X1,X2,X4)|~latt_str(X1)|~latt_str(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|X2!=join_of_latt_set(X1,X3)|~latt_element_smaller(X1,X4,X3)|~element(X4,the_carrier(X1))),inference(split_conjunct,[status(thm)],[120])).
% fof(127, plain,![X1]:((empty_carrier(X1)|~(meet_semilatt_str(X1)))|(~(lower_bounded_semilattstr(X1))|![X2]:(~(element(X2,the_carrier(X1)))|((~(X2=bottom_of_semilattstr(X1))|![X3]:(~(element(X3,the_carrier(X1)))|(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2)))&(?[X3]:(element(X3,the_carrier(X1))&(~(meet(X1,X2,X3)=X2)|~(meet(X1,X3,X2)=X2)))|X2=bottom_of_semilattstr(X1)))))),inference(fof_nnf,[status(thm)],[77])).
% fof(128, plain,![X4]:((empty_carrier(X4)|~(meet_semilatt_str(X4)))|(~(lower_bounded_semilattstr(X4))|![X5]:(~(element(X5,the_carrier(X4)))|((~(X5=bottom_of_semilattstr(X4))|![X6]:(~(element(X6,the_carrier(X4)))|(meet(X4,X5,X6)=X5&meet(X4,X6,X5)=X5)))&(?[X7]:(element(X7,the_carrier(X4))&(~(meet(X4,X5,X7)=X5)|~(meet(X4,X7,X5)=X5)))|X5=bottom_of_semilattstr(X4)))))),inference(variable_rename,[status(thm)],[127])).
% fof(129, plain,![X4]:((empty_carrier(X4)|~(meet_semilatt_str(X4)))|(~(lower_bounded_semilattstr(X4))|![X5]:(~(element(X5,the_carrier(X4)))|((~(X5=bottom_of_semilattstr(X4))|![X6]:(~(element(X6,the_carrier(X4)))|(meet(X4,X5,X6)=X5&meet(X4,X6,X5)=X5)))&((element(esk3_2(X4,X5),the_carrier(X4))&(~(meet(X4,X5,esk3_2(X4,X5))=X5)|~(meet(X4,esk3_2(X4,X5),X5)=X5)))|X5=bottom_of_semilattstr(X4)))))),inference(skolemize,[status(esa)],[128])).
% fof(130, plain,![X4]:![X5]:![X6]:((((((~(element(X6,the_carrier(X4)))|(meet(X4,X5,X6)=X5&meet(X4,X6,X5)=X5))|~(X5=bottom_of_semilattstr(X4)))&((element(esk3_2(X4,X5),the_carrier(X4))&(~(meet(X4,X5,esk3_2(X4,X5))=X5)|~(meet(X4,esk3_2(X4,X5),X5)=X5)))|X5=bottom_of_semilattstr(X4)))|~(element(X5,the_carrier(X4))))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4)))),inference(shift_quantors,[status(thm)],[129])).
% fof(131, plain,![X4]:![X5]:![X6]:(((((((meet(X4,X5,X6)=X5|~(element(X6,the_carrier(X4))))|~(X5=bottom_of_semilattstr(X4)))|~(element(X5,the_carrier(X4))))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4))))&(((((meet(X4,X6,X5)=X5|~(element(X6,the_carrier(X4))))|~(X5=bottom_of_semilattstr(X4)))|~(element(X5,the_carrier(X4))))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4)))))&(((((element(esk3_2(X4,X5),the_carrier(X4))|X5=bottom_of_semilattstr(X4))|~(element(X5,the_carrier(X4))))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4))))&(((((~(meet(X4,X5,esk3_2(X4,X5))=X5)|~(meet(X4,esk3_2(X4,X5),X5)=X5))|X5=bottom_of_semilattstr(X4))|~(element(X5,the_carrier(X4))))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4)))))),inference(distribute,[status(thm)],[130])).
% cnf(134,plain,(empty_carrier(X1)|meet(X1,X3,X2)=X2|~meet_semilatt_str(X1)|~lower_bounded_semilattstr(X1)|~element(X2,the_carrier(X1))|X2!=bottom_of_semilattstr(X1)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[131])).
% fof(148, plain,?[X2]:empty(X2),inference(variable_rename,[status(thm)],[11])).
% fof(149, plain,empty(esk7_0),inference(skolemize,[status(esa)],[148])).
% cnf(150,plain,(empty(esk7_0)),inference(split_conjunct,[status(thm)],[149])).
% fof(156, plain,![X1]:((empty_carrier(X1)|~(meet_semilatt_str(X1)))|((~(lower_bounded_semilattstr(X1))|?[X2]:(element(X2,the_carrier(X1))&![X3]:(~(element(X3,the_carrier(X1)))|(meet(X1,X2,X3)=X2&meet(X1,X3,X2)=X2))))&(![X2]:(~(element(X2,the_carrier(X1)))|?[X3]:(element(X3,the_carrier(X1))&(~(meet(X1,X2,X3)=X2)|~(meet(X1,X3,X2)=X2))))|lower_bounded_semilattstr(X1)))),inference(fof_nnf,[status(thm)],[79])).
% fof(157, plain,![X4]:((empty_carrier(X4)|~(meet_semilatt_str(X4)))|((~(lower_bounded_semilattstr(X4))|?[X5]:(element(X5,the_carrier(X4))&![X6]:(~(element(X6,the_carrier(X4)))|(meet(X4,X5,X6)=X5&meet(X4,X6,X5)=X5))))&(![X7]:(~(element(X7,the_carrier(X4)))|?[X8]:(element(X8,the_carrier(X4))&(~(meet(X4,X7,X8)=X7)|~(meet(X4,X8,X7)=X7))))|lower_bounded_semilattstr(X4)))),inference(variable_rename,[status(thm)],[156])).
% fof(158, plain,![X4]:((empty_carrier(X4)|~(meet_semilatt_str(X4)))|((~(lower_bounded_semilattstr(X4))|(element(esk9_1(X4),the_carrier(X4))&![X6]:(~(element(X6,the_carrier(X4)))|(meet(X4,esk9_1(X4),X6)=esk9_1(X4)&meet(X4,X6,esk9_1(X4))=esk9_1(X4)))))&(![X7]:(~(element(X7,the_carrier(X4)))|(element(esk10_2(X4,X7),the_carrier(X4))&(~(meet(X4,X7,esk10_2(X4,X7))=X7)|~(meet(X4,esk10_2(X4,X7),X7)=X7))))|lower_bounded_semilattstr(X4)))),inference(skolemize,[status(esa)],[157])).
% fof(159, plain,![X4]:![X6]:![X7]:((((~(element(X7,the_carrier(X4)))|(element(esk10_2(X4,X7),the_carrier(X4))&(~(meet(X4,X7,esk10_2(X4,X7))=X7)|~(meet(X4,esk10_2(X4,X7),X7)=X7))))|lower_bounded_semilattstr(X4))&(((~(element(X6,the_carrier(X4)))|(meet(X4,esk9_1(X4),X6)=esk9_1(X4)&meet(X4,X6,esk9_1(X4))=esk9_1(X4)))&element(esk9_1(X4),the_carrier(X4)))|~(lower_bounded_semilattstr(X4))))|(empty_carrier(X4)|~(meet_semilatt_str(X4)))),inference(shift_quantors,[status(thm)],[158])).
% fof(160, plain,![X4]:![X6]:![X7]:(((((element(esk10_2(X4,X7),the_carrier(X4))|~(element(X7,the_carrier(X4))))|lower_bounded_semilattstr(X4))|(empty_carrier(X4)|~(meet_semilatt_str(X4))))&((((~(meet(X4,X7,esk10_2(X4,X7))=X7)|~(meet(X4,esk10_2(X4,X7),X7)=X7))|~(element(X7,the_carrier(X4))))|lower_bounded_semilattstr(X4))|(empty_carrier(X4)|~(meet_semilatt_str(X4)))))&(((((meet(X4,esk9_1(X4),X6)=esk9_1(X4)|~(element(X6,the_carrier(X4))))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4))))&(((meet(X4,X6,esk9_1(X4))=esk9_1(X4)|~(element(X6,the_carrier(X4))))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4)))))&((element(esk9_1(X4),the_carrier(X4))|~(lower_bounded_semilattstr(X4)))|(empty_carrier(X4)|~(meet_semilatt_str(X4)))))),inference(distribute,[status(thm)],[159])).
% cnf(164,plain,(empty_carrier(X1)|lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|meet(X1,esk10_2(X1,X2),X2)!=X2|meet(X1,X2,esk10_2(X1,X2))!=X2),inference(split_conjunct,[status(thm)],[160])).
% cnf(165,plain,(empty_carrier(X1)|lower_bounded_semilattstr(X1)|element(esk10_2(X1,X2),the_carrier(X1))|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[160])).
% fof(166, plain,![X1]:((empty_carrier(X1)|~(meet_semilatt_str(X1)))|element(bottom_of_semilattstr(X1),the_carrier(X1))),inference(fof_nnf,[status(thm)],[80])).
% fof(167, plain,![X2]:((empty_carrier(X2)|~(meet_semilatt_str(X2)))|element(bottom_of_semilattstr(X2),the_carrier(X2))),inference(variable_rename,[status(thm)],[166])).
% cnf(168,plain,(element(bottom_of_semilattstr(X1),the_carrier(X1))|empty_carrier(X1)|~meet_semilatt_str(X1)),inference(split_conjunct,[status(thm)],[167])).
% fof(173, plain,![X1]:((empty_carrier(X1)|~(latt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:((~(latt_element_smaller(X1,X2,X3))|![X4]:(~(element(X4,the_carrier(X1)))|(~(in(X4,X3))|below(X1,X4,X2))))&(?[X4]:(element(X4,the_carrier(X1))&(in(X4,X3)&~(below(X1,X4,X2))))|latt_element_smaller(X1,X2,X3))))),inference(fof_nnf,[status(thm)],[82])).
% fof(174, plain,![X5]:((empty_carrier(X5)|~(latt_str(X5)))|![X6]:(~(element(X6,the_carrier(X5)))|![X7]:((~(latt_element_smaller(X5,X6,X7))|![X8]:(~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X8,X6))))&(?[X9]:(element(X9,the_carrier(X5))&(in(X9,X7)&~(below(X5,X9,X6))))|latt_element_smaller(X5,X6,X7))))),inference(variable_rename,[status(thm)],[173])).
% fof(175, plain,![X5]:((empty_carrier(X5)|~(latt_str(X5)))|![X6]:(~(element(X6,the_carrier(X5)))|![X7]:((~(latt_element_smaller(X5,X6,X7))|![X8]:(~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X8,X6))))&((element(esk12_3(X5,X6,X7),the_carrier(X5))&(in(esk12_3(X5,X6,X7),X7)&~(below(X5,esk12_3(X5,X6,X7),X6))))|latt_element_smaller(X5,X6,X7))))),inference(skolemize,[status(esa)],[174])).
% fof(176, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X8,X6)))|~(latt_element_smaller(X5,X6,X7)))&((element(esk12_3(X5,X6,X7),the_carrier(X5))&(in(esk12_3(X5,X6,X7),X7)&~(below(X5,esk12_3(X5,X6,X7),X6))))|latt_element_smaller(X5,X6,X7)))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5)))),inference(shift_quantors,[status(thm)],[175])).
% fof(177, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X8,X6)))|~(latt_element_smaller(X5,X6,X7)))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&((((element(esk12_3(X5,X6,X7),the_carrier(X5))|latt_element_smaller(X5,X6,X7))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&((((in(esk12_3(X5,X6,X7),X7)|latt_element_smaller(X5,X6,X7))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&(((~(below(X5,esk12_3(X5,X6,X7),X6))|latt_element_smaller(X5,X6,X7))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))))),inference(distribute,[status(thm)],[176])).
% cnf(179,plain,(empty_carrier(X1)|latt_element_smaller(X1,X2,X3)|in(esk12_3(X1,X2,X3),X3)|~latt_str(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[177])).
% fof(182, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|meet_commut(X1,X2,X3)=meet(X1,X2,X3)),inference(fof_nnf,[status(thm)],[83])).
% fof(183, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|meet_commut(X4,X5,X6)=meet(X4,X5,X6)),inference(variable_rename,[status(thm)],[182])).
% cnf(184,plain,(meet_commut(X1,X2,X3)=meet(X1,X2,X3)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)),inference(split_conjunct,[status(thm)],[183])).
% fof(192, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)),inference(fof_nnf,[status(thm)],[86])).
% fof(193, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|meet_commut(X4,X5,X6)=meet_commut(X4,X6,X5)),inference(variable_rename,[status(thm)],[192])).
% cnf(194,plain,(meet_commut(X1,X2,X3)=meet_commut(X1,X3,X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)),inference(split_conjunct,[status(thm)],[193])).
% fof(195, plain,![X1]:(~(latt_str(X1))|(meet_semilatt_str(X1)&join_semilatt_str(X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(196, plain,![X2]:(~(latt_str(X2))|(meet_semilatt_str(X2)&join_semilatt_str(X2))),inference(variable_rename,[status(thm)],[195])).
% fof(197, plain,![X2]:((meet_semilatt_str(X2)|~(latt_str(X2)))&(join_semilatt_str(X2)|~(latt_str(X2)))),inference(distribute,[status(thm)],[196])).
% cnf(198,plain,(join_semilatt_str(X1)|~latt_str(X1)),inference(split_conjunct,[status(thm)],[197])).
% cnf(199,plain,(meet_semilatt_str(X1)|~latt_str(X1)),inference(split_conjunct,[status(thm)],[197])).
% fof(206, plain,![X1]:(((empty_carrier(X1)|~(join_commutative(X1)))|~(join_semilatt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|((~(below(X1,X2,X3))|~(below(X1,X3,X2)))|X2=X3)))),inference(fof_nnf,[status(thm)],[87])).
% fof(207, plain,![X4]:(((empty_carrier(X4)|~(join_commutative(X4)))|~(join_semilatt_str(X4)))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|((~(below(X4,X5,X6))|~(below(X4,X6,X5)))|X5=X6)))),inference(variable_rename,[status(thm)],[206])).
% fof(208, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X4)))|((~(below(X4,X5,X6))|~(below(X4,X6,X5)))|X5=X6))|~(element(X5,the_carrier(X4))))|((empty_carrier(X4)|~(join_commutative(X4)))|~(join_semilatt_str(X4)))),inference(shift_quantors,[status(thm)],[207])).
% cnf(209,plain,(empty_carrier(X1)|X2=X3|~join_semilatt_str(X1)|~join_commutative(X1)|~element(X2,the_carrier(X1))|~below(X1,X3,X2)|~below(X1,X2,X3)|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[208])).
% fof(210, plain,![X1]:(~(latt_str(X1))|((empty_carrier(X1)|~(lattice(X1)))|((((((~(empty_carrier(X1))&join_commutative(X1))&join_associative(X1))&meet_commutative(X1))&meet_associative(X1))&meet_absorbing(X1))&join_absorbing(X1)))),inference(fof_nnf,[status(thm)],[88])).
% fof(211, plain,![X2]:(~(latt_str(X2))|((empty_carrier(X2)|~(lattice(X2)))|((((((~(empty_carrier(X2))&join_commutative(X2))&join_associative(X2))&meet_commutative(X2))&meet_associative(X2))&meet_absorbing(X2))&join_absorbing(X2)))),inference(variable_rename,[status(thm)],[210])).
% fof(212, plain,![X2]:((((((((~(empty_carrier(X2))|(empty_carrier(X2)|~(lattice(X2))))|~(latt_str(X2)))&((join_commutative(X2)|(empty_carrier(X2)|~(lattice(X2))))|~(latt_str(X2))))&((join_associative(X2)|(empty_carrier(X2)|~(lattice(X2))))|~(latt_str(X2))))&((meet_commutative(X2)|(empty_carrier(X2)|~(lattice(X2))))|~(latt_str(X2))))&((meet_associative(X2)|(empty_carrier(X2)|~(lattice(X2))))|~(latt_str(X2))))&((meet_absorbing(X2)|(empty_carrier(X2)|~(lattice(X2))))|~(latt_str(X2))))&((join_absorbing(X2)|(empty_carrier(X2)|~(lattice(X2))))|~(latt_str(X2)))),inference(distribute,[status(thm)],[211])).
% cnf(214,plain,(empty_carrier(X1)|meet_absorbing(X1)|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[212])).
% cnf(216,plain,(empty_carrier(X1)|meet_commutative(X1)|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[212])).
% cnf(218,plain,(empty_carrier(X1)|join_commutative(X1)|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[212])).
% fof(225, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|element(meet_commut(X1,X2,X3),the_carrier(X1))),inference(fof_nnf,[status(thm)],[90])).
% fof(226, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|element(meet_commut(X4,X5,X6),the_carrier(X4))),inference(variable_rename,[status(thm)],[225])).
% cnf(227,plain,(element(meet_commut(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~meet_semilatt_str(X1)|~meet_commutative(X1)),inference(split_conjunct,[status(thm)],[226])).
% fof(228, plain,![X1]:((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_absorbing(X1)))|~(latt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|below(X1,meet_commut(X1,X2,X3),X2)))),inference(fof_nnf,[status(thm)],[91])).
% fof(229, plain,![X4]:((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(latt_str(X4)))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|below(X4,meet_commut(X4,X5,X6),X5)))),inference(variable_rename,[status(thm)],[228])).
% fof(230, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X4)))|below(X4,meet_commut(X4,X5,X6),X5))|~(element(X5,the_carrier(X4))))|(((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(latt_str(X4)))),inference(shift_quantors,[status(thm)],[229])).
% cnf(231,plain,(empty_carrier(X1)|below(X1,meet_commut(X1,X2,X3),X2)|~latt_str(X1)|~meet_absorbing(X1)|~meet_commutative(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))),inference(split_conjunct,[status(thm)],[230])).
% fof(261, plain,![X1]:![X2]:(~(in(X1,X2))|~(empty(X2))),inference(fof_nnf,[status(thm)],[40])).
% fof(262, plain,![X3]:![X4]:(~(in(X3,X4))|~(empty(X4))),inference(variable_rename,[status(thm)],[261])).
% cnf(263,plain,(~empty(X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[262])).
% fof(286, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|~(empty(X3))),inference(fof_nnf,[status(thm)],[48])).
% fof(287, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|~(empty(X6))),inference(variable_rename,[status(thm)],[286])).
% cnf(288,plain,(~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2)),inference(split_conjunct,[status(thm)],[287])).
% fof(295, plain,![X3]:?[X4]:(element(X4,powerset(X3))&empty(X4)),inference(variable_rename,[status(thm)],[50])).
% fof(296, plain,![X3]:(element(esk18_1(X3),powerset(X3))&empty(esk18_1(X3))),inference(skolemize,[status(esa)],[295])).
% cnf(297,plain,(empty(esk18_1(X1))),inference(split_conjunct,[status(thm)],[296])).
% cnf(298,plain,(element(esk18_1(X1),powerset(X1))),inference(split_conjunct,[status(thm)],[296])).
% fof(357, negated_conjecture,?[X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))&((((empty_carrier(X1)|~(lattice(X1)))|~(lower_bounded_semilattstr(X1)))|~(latt_str(X1)))|~(bottom_of_semilattstr(X1)=join_of_latt_set(X1,empty_set)))),inference(fof_nnf,[status(thm)],[106])).
% fof(358, negated_conjecture,?[X2]:((((~(empty_carrier(X2))&lattice(X2))&complete_latt_str(X2))&latt_str(X2))&((((empty_carrier(X2)|~(lattice(X2)))|~(lower_bounded_semilattstr(X2)))|~(latt_str(X2)))|~(bottom_of_semilattstr(X2)=join_of_latt_set(X2,empty_set)))),inference(variable_rename,[status(thm)],[357])).
% fof(359, negated_conjecture,((((~(empty_carrier(esk19_0))&lattice(esk19_0))&complete_latt_str(esk19_0))&latt_str(esk19_0))&((((empty_carrier(esk19_0)|~(lattice(esk19_0)))|~(lower_bounded_semilattstr(esk19_0)))|~(latt_str(esk19_0)))|~(bottom_of_semilattstr(esk19_0)=join_of_latt_set(esk19_0,empty_set)))),inference(skolemize,[status(esa)],[358])).
% cnf(360,negated_conjecture,(empty_carrier(esk19_0)|bottom_of_semilattstr(esk19_0)!=join_of_latt_set(esk19_0,empty_set)|~latt_str(esk19_0)|~lower_bounded_semilattstr(esk19_0)|~lattice(esk19_0)),inference(split_conjunct,[status(thm)],[359])).
% cnf(361,negated_conjecture,(latt_str(esk19_0)),inference(split_conjunct,[status(thm)],[359])).
% cnf(362,negated_conjecture,(complete_latt_str(esk19_0)),inference(split_conjunct,[status(thm)],[359])).
% cnf(363,negated_conjecture,(lattice(esk19_0)),inference(split_conjunct,[status(thm)],[359])).
% cnf(364,negated_conjecture,(~empty_carrier(esk19_0)),inference(split_conjunct,[status(thm)],[359])).
% cnf(366,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,empty_set)!=bottom_of_semilattstr(esk19_0)|$false|~lattice(esk19_0)|~lower_bounded_semilattstr(esk19_0)),inference(rw,[status(thm)],[360,361,theory(equality)])).
% cnf(367,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,empty_set)!=bottom_of_semilattstr(esk19_0)|$false|$false|~lower_bounded_semilattstr(esk19_0)),inference(rw,[status(thm)],[366,363,theory(equality)])).
% cnf(368,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,empty_set)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)),inference(cn,[status(thm)],[367,theory(equality)])).
% cnf(369,negated_conjecture,(join_of_latt_set(esk19_0,empty_set)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)),inference(sr,[status(thm)],[368,364,theory(equality)])).
% cnf(383,plain,(empty_set=esk7_0),inference(spm,[status(thm)],[112,150,theory(equality)])).
% cnf(428,plain,(~in(X1,esk18_1(X2))|~empty(X2)),inference(spm,[status(thm)],[288,298,theory(equality)])).
% cnf(449,plain,(latt_element_smaller(X1,X2,X3)|empty_carrier(X1)|~empty(X3)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[263,179,theory(equality)])).
% cnf(464,plain,(meet_commut(X1,X3,X2)=meet(X1,X2,X3)|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(spm,[status(thm)],[184,194,theory(equality)])).
% cnf(487,plain,(X1=meet_commut(X2,X1,X3)|empty_carrier(X2)|~join_commutative(X2)|~join_semilatt_str(X2)|~below(X2,X1,meet_commut(X2,X1,X3))|~element(meet_commut(X2,X1,X3),the_carrier(X2))|~element(X1,the_carrier(X2))|~meet_absorbing(X2)|~meet_commutative(X2)|~element(X3,the_carrier(X2))|~latt_str(X2)),inference(spm,[status(thm)],[209,231,theory(equality)])).
% cnf(499,negated_conjecture,(join_of_latt_set(esk19_0,esk7_0)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)),inference(rw,[status(thm)],[369,383,theory(equality)])).
% cnf(501,plain,(esk7_0=X1|~empty(X1)),inference(rw,[status(thm)],[112,383,theory(equality)])).
% cnf(503,plain,(esk7_0=esk18_1(X1)),inference(spm,[status(thm)],[501,297,theory(equality)])).
% cnf(515,plain,(~in(X1,esk7_0)|~empty(X2)),inference(rw,[status(thm)],[428,503,theory(equality)])).
% fof(523, plain,(~(epred1_0)<=>![X1]:~(in(X1,esk7_0))),introduced(definition),['split']).
% cnf(524,plain,(epred1_0|~in(X1,esk7_0)),inference(split_equiv,[status(thm)],[523])).
% fof(525, plain,(~(epred2_0)<=>![X2]:~(empty(X2))),introduced(definition),['split']).
% cnf(526,plain,(epred2_0|~empty(X2)),inference(split_equiv,[status(thm)],[525])).
% cnf(527,plain,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[515,523,theory(equality)]),525,theory(equality)]),['split']).
% cnf(528,plain,(epred2_0),inference(spm,[status(thm)],[526,150,theory(equality)])).
% cnf(529,plain,($false|~epred1_0),inference(rw,[status(thm)],[527,528,theory(equality)])).
% cnf(530,plain,(~epred1_0),inference(cn,[status(thm)],[529,theory(equality)])).
% cnf(533,plain,(~in(X1,esk7_0)),inference(sr,[status(thm)],[524,530,theory(equality)])).
% cnf(534,plain,(latt_element_smaller(X1,X2,esk7_0)|empty_carrier(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[533,179,theory(equality)])).
% cnf(569,plain,(below(X1,X2,X3)|empty_carrier(X1)|join_of_latt_set(X1,X4)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1)|~empty(X4)),inference(spm,[status(thm)],[125,449,theory(equality)])).
% cnf(577,plain,(below(X1,X2,X3)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[125,534,theory(equality)])).
% cnf(782,plain,(meet(X1,X3,X2)=meet(X1,X2,X3)|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(spm,[status(thm)],[184,464,theory(equality)])).
% cnf(977,plain,(X1=X2|empty_carrier(X3)|~join_commutative(X3)|~join_semilatt_str(X3)|~below(X3,X1,X2)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|join_of_latt_set(X3,esk7_0)!=X2|~complete_latt_str(X3)|~lattice(X3)|~latt_str(X3)),inference(spm,[status(thm)],[209,577,theory(equality)])).
% cnf(1227,plain,(meet_commut(X2,X1,X3)=X1|empty_carrier(X2)|~meet_absorbing(X2)|~join_commutative(X2)|~meet_commutative(X2)|~below(X2,X1,meet_commut(X2,X1,X3))|~element(meet_commut(X2,X1,X3),the_carrier(X2))|~element(X1,the_carrier(X2))|~element(X3,the_carrier(X2))|~latt_str(X2)),inference(csr,[status(thm)],[487,198])).
% cnf(1232,plain,(meet_commut(X1,X2,X3)=X2|empty_carrier(X1)|~meet_absorbing(X1)|~join_commutative(X1)|~meet_commutative(X1)|~element(meet_commut(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)),inference(spm,[status(thm)],[1227,577,theory(equality)])).
% cnf(1571,plain,(below(X1,join_of_latt_set(X1,X2),X3)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(join_of_latt_set(X1,X2),the_carrier(X1))|~empty(X2)|~latt_str(X1)),inference(er,[status(thm)],[569,theory(equality)])).
% cnf(1572,plain,(below(X1,join_of_latt_set(X1,X2),X3)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~empty(X2)|~latt_str(X1)),inference(csr,[status(thm)],[1571,115])).
% cnf(2378,plain,(X1=X2|empty_carrier(X3)|join_of_latt_set(X3,esk7_0)!=X2|~join_commutative(X3)|~below(X3,X1,X2)|~complete_latt_str(X3)|~lattice(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~latt_str(X3)),inference(csr,[status(thm)],[977,198])).
% cnf(2379,plain,(X1=X2|empty_carrier(X3)|join_of_latt_set(X3,esk7_0)!=X2|~below(X3,X1,X2)|~complete_latt_str(X3)|~lattice(X3)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~latt_str(X3)),inference(csr,[status(thm)],[2378,218])).
% cnf(2384,plain,(join_of_latt_set(X1,X2)=X3|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X3|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(join_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1)|~empty(X2)),inference(spm,[status(thm)],[2379,1572,theory(equality)])).
% cnf(2753,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|meet(X1,X2,esk10_2(X1,X2))!=X2|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~meet_commutative(X1)|~element(esk10_2(X1,X2),the_carrier(X1))),inference(spm,[status(thm)],[164,782,theory(equality)])).
% cnf(3483,plain,(join_of_latt_set(X1,X2)=X3|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X3|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~empty(X2)|~latt_str(X1)),inference(csr,[status(thm)],[2384,115])).
% cnf(3551,plain,(join_of_latt_set(X1,X2)=join_of_latt_set(X1,X3)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=join_of_latt_set(X1,X3)|~complete_latt_str(X1)|~lattice(X1)|~empty(X2)|~latt_str(X1)),inference(spm,[status(thm)],[3483,115,theory(equality)])).
% cnf(3553,plain,(join_of_latt_set(X1,X2)=join_of_latt_set(X1,esk7_0)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~empty(X2)|~latt_str(X1)),inference(er,[status(thm)],[3551,theory(equality)])).
% cnf(3554,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,X1)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)|~complete_latt_str(esk19_0)|~lattice(esk19_0)|~empty(X1)|~latt_str(esk19_0)),inference(spm,[status(thm)],[499,3553,theory(equality)])).
% cnf(3586,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,X1)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)|$false|~lattice(esk19_0)|~empty(X1)|~latt_str(esk19_0)),inference(rw,[status(thm)],[3554,362,theory(equality)])).
% cnf(3587,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,X1)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)|$false|$false|~empty(X1)|~latt_str(esk19_0)),inference(rw,[status(thm)],[3586,363,theory(equality)])).
% cnf(3588,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,X1)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)|$false|$false|~empty(X1)|$false),inference(rw,[status(thm)],[3587,361,theory(equality)])).
% cnf(3589,negated_conjecture,(empty_carrier(esk19_0)|join_of_latt_set(esk19_0,X1)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)|~empty(X1)),inference(cn,[status(thm)],[3588,theory(equality)])).
% cnf(3590,negated_conjecture,(join_of_latt_set(esk19_0,X1)!=bottom_of_semilattstr(esk19_0)|~lower_bounded_semilattstr(esk19_0)|~empty(X1)),inference(sr,[status(thm)],[3589,364,theory(equality)])).
% cnf(10165,plain,(meet_commut(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~meet_absorbing(X1)|~join_commutative(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(meet_commut(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[1232,216])).
% cnf(10166,plain,(meet_commut(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~meet_absorbing(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(meet_commut(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[10165,218])).
% cnf(10167,plain,(meet_commut(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(meet_commut(X1,X2,X3),the_carrier(X1))|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[10166,214])).
% cnf(10172,plain,(meet_commut(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)),inference(spm,[status(thm)],[10167,227,theory(equality)])).
% cnf(12395,plain,(meet_commut(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~meet_commutative(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[10172,199])).
% cnf(12396,plain,(meet_commut(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[12395,216])).
% cnf(12397,plain,(X2=meet(X1,X2,X3)|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1)),inference(spm,[status(thm)],[184,12396,theory(equality)])).
% cnf(12409,plain,(meet(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~meet_commutative(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[12397,199])).
% cnf(12410,plain,(meet(X1,X2,X3)=X2|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[12409,216])).
% cnf(12415,plain,(X2=X3|empty_carrier(X1)|bottom_of_semilattstr(X1)!=X3|~lower_bounded_semilattstr(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1)),inference(spm,[status(thm)],[134,12410,theory(equality)])).
% cnf(21378,plain,(X2=X3|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|bottom_of_semilattstr(X1)!=X3|~lower_bounded_semilattstr(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[12415,199])).
% cnf(21506,plain,(join_of_latt_set(X1,X2)=X3|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=join_of_latt_set(X1,X2)|bottom_of_semilattstr(X1)!=X3|~lower_bounded_semilattstr(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[21378,115,theory(equality)])).
% cnf(22349,plain,(join_of_latt_set(X1,X2)=bottom_of_semilattstr(X1)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=join_of_latt_set(X1,X2)|~lower_bounded_semilattstr(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1)|~meet_semilatt_str(X1)),inference(spm,[status(thm)],[21506,168,theory(equality)])).
% cnf(22352,plain,(join_of_latt_set(X1,X2)=bottom_of_semilattstr(X1)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=join_of_latt_set(X1,X2)|~lower_bounded_semilattstr(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1)),inference(csr,[status(thm)],[22349,199])).
% cnf(22353,plain,(join_of_latt_set(X1,esk7_0)=bottom_of_semilattstr(X1)|empty_carrier(X1)|~lower_bounded_semilattstr(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1)),inference(er,[status(thm)],[22352,theory(equality)])).
% cnf(22398,negated_conjecture,(empty_carrier(esk19_0)|~lower_bounded_semilattstr(esk19_0)|~empty(esk7_0)|~complete_latt_str(esk19_0)|~lattice(esk19_0)|~latt_str(esk19_0)),inference(spm,[status(thm)],[3590,22353,theory(equality)])).
% cnf(22493,negated_conjecture,(empty_carrier(esk19_0)|~lower_bounded_semilattstr(esk19_0)|$false|~complete_latt_str(esk19_0)|~lattice(esk19_0)|~latt_str(esk19_0)),inference(rw,[status(thm)],[22398,150,theory(equality)])).
% cnf(22494,negated_conjecture,(empty_carrier(esk19_0)|~lower_bounded_semilattstr(esk19_0)|$false|$false|~lattice(esk19_0)|~latt_str(esk19_0)),inference(rw,[status(thm)],[22493,362,theory(equality)])).
% cnf(22495,negated_conjecture,(empty_carrier(esk19_0)|~lower_bounded_semilattstr(esk19_0)|$false|$false|$false|~latt_str(esk19_0)),inference(rw,[status(thm)],[22494,363,theory(equality)])).
% cnf(22496,negated_conjecture,(empty_carrier(esk19_0)|~lower_bounded_semilattstr(esk19_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[22495,361,theory(equality)])).
% cnf(22497,negated_conjecture,(empty_carrier(esk19_0)|~lower_bounded_semilattstr(esk19_0)),inference(cn,[status(thm)],[22496,theory(equality)])).
% cnf(22498,negated_conjecture,(~lower_bounded_semilattstr(esk19_0)),inference(sr,[status(thm)],[22497,364,theory(equality)])).
% cnf(62786,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|meet(X1,X2,esk10_2(X1,X2))!=X2|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))),inference(csr,[status(thm)],[2753,165])).
% cnf(62792,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|~meet_commutative(X1)|~meet_semilatt_str(X1)|~element(X2,the_carrier(X1))|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(esk10_2(X1,X2),the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[62786,12410,theory(equality)])).
% cnf(216516,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~meet_commutative(X1)|~meet_semilatt_str(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[62792,165])).
% cnf(216517,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~meet_commutative(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[216516,199])).
% cnf(216518,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[216517,216])).
% cnf(217034,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|join_of_latt_set(X1,esk7_0)!=join_of_latt_set(X1,X2)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1)),inference(spm,[status(thm)],[216518,115,theory(equality)])).
% cnf(217279,plain,(lower_bounded_semilattstr(X1)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~latt_str(X1)),inference(er,[status(thm)],[217034,theory(equality)])).
% cnf(217510,negated_conjecture,(lower_bounded_semilattstr(esk19_0)|empty_carrier(esk19_0)|~lattice(esk19_0)|~latt_str(esk19_0)),inference(spm,[status(thm)],[217279,362,theory(equality)])).
% cnf(217511,negated_conjecture,(lower_bounded_semilattstr(esk19_0)|empty_carrier(esk19_0)|$false|~latt_str(esk19_0)),inference(rw,[status(thm)],[217510,363,theory(equality)])).
% cnf(217512,negated_conjecture,(lower_bounded_semilattstr(esk19_0)|empty_carrier(esk19_0)|$false|$false),inference(rw,[status(thm)],[217511,361,theory(equality)])).
% cnf(217513,negated_conjecture,(lower_bounded_semilattstr(esk19_0)|empty_carrier(esk19_0)),inference(cn,[status(thm)],[217512,theory(equality)])).
% cnf(217514,negated_conjecture,(empty_carrier(esk19_0)),inference(sr,[status(thm)],[217513,22498,theory(equality)])).
% cnf(217515,negated_conjecture,($false),inference(sr,[status(thm)],[217514,364,theory(equality)])).
% cnf(217516,negated_conjecture,($false),217515,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 21022
% # ...of these trivial : 95
% # ...subsumed : 17401
% # ...remaining for further processing: 3526
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 171
% # Backward-rewritten : 150
% # Generated clauses : 154376
% # ...of the previous two non-trivial : 143546
% # Contextual simplify-reflections : 29093
% # Paramodulations : 154009
% # Factorizations : 0
% # Equation resolutions : 68
% # Current number of processed clauses: 2980
% # Positive orientable unit clauses: 172
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 53
% # Non-unit-clauses : 2754
% # Current number of unprocessed clauses: 114362
% # ...number of literals in the above : 1047547
% # Clause-clause subsumption calls (NU) : 1518718
% # Rec. Clause-clause subsumption calls : 393851
% # Unit Clause-clause subsumption calls : 60038
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 323
% # Indexed BW rewrite successes : 122
% # Backwards rewriting index: 639 leaves, 7.22+/-31.302 terms/leaf
% # Paramod-from index: 292 leaves, 4.45+/-18.019 terms/leaf
% # Paramod-into index: 579 leaves, 6.72+/-31.171 terms/leaf
% # -------------------------------------------------
% # User time : 13.333 s
% # System time : 0.290 s
% # Total time : 13.623 s
% # Maximum resident set size: 0 pages
% PrfWatch: 17.89 CPU 18.91 WC
% FINAL PrfWatch: 17.89 CPU 18.91 WC
% SZS output end Solution for /tmp/SystemOnTPTP28522/SEU352+1.tptp
%
%------------------------------------------------------------------------------