TSTP Solution File: SEU351+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU351+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 03:54:34 EST 2010
% Result : Theorem 1.38s
% Output : Solution 1.38s
% 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/SystemOnTPTP28260/SEU351+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP28260/SEU351+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28260/SEU351+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 28356
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((~(empty_carrier(X1))&latt_str(X1))=>element(meet_of_latt_set(X1,X2),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_k16_lattice3)).
% fof(5, 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(6, axiom,![X1]:![X2]:![X3]:((~(empty_carrier(X2))&latt_str(X2))=>(in(X1,a_2_2_lattice3(X2,X3))<=>?[X4]:((element(X4,the_carrier(X2))&X1=X4)&latt_set_smaller(X2,X4,X3)))),file('/tmp/SRASS.s.p', fraenkel_a_2_2_lattice3)).
% fof(7, axiom,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_set_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X2,X4)))))),file('/tmp/SRASS.s.p', d16_lattice3)).
% fof(8, 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(9, axiom,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:meet_of_latt_set(X1,X2)=join_of_latt_set(X1,a_2_2_lattice3(X1,X2))),file('/tmp/SRASS.s.p', d22_lattice3)).
% fof(13, 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(17, axiom,![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(below_refl(X1,X2,X3)<=>below(X1,X2,X3))),file('/tmp/SRASS.s.p', redefinition_r3_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(37, conjecture,![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(X2=meet_of_latt_set(X1,X3)<=>(latt_set_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(latt_set_smaller(X1,X4,X3)=>below_refl(X1,X4,X2))))))),file('/tmp/SRASS.s.p', t34_lattice3)).
% fof(38, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(X2=meet_of_latt_set(X1,X3)<=>(latt_set_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(latt_set_smaller(X1,X4,X3)=>below_refl(X1,X4,X2)))))))),inference(assume_negation,[status(cth)],[37])).
% fof(39, plain,![X1]:![X2]:((~(empty_carrier(X1))&latt_str(X1))=>element(meet_of_latt_set(X1,X2),the_carrier(X1))),inference(fof_simplification,[status(thm)],[1,theory(equality)])).
% fof(41, plain,![X1]:![X2]:((~(empty_carrier(X1))&latt_str(X1))=>element(join_of_latt_set(X1,X2),the_carrier(X1))),inference(fof_simplification,[status(thm)],[5,theory(equality)])).
% fof(42, plain,![X1]:![X2]:![X3]:((~(empty_carrier(X2))&latt_str(X2))=>(in(X1,a_2_2_lattice3(X2,X3))<=>?[X4]:((element(X4,the_carrier(X2))&X1=X4)&latt_set_smaller(X2,X4,X3)))),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(43, plain,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(latt_set_smaller(X1,X2,X3)<=>![X4]:(element(X4,the_carrier(X1))=>(in(X4,X3)=>below(X1,X2,X4)))))),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(44, 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)],[8,theory(equality)])).
% fof(45, plain,![X1]:((~(empty_carrier(X1))&latt_str(X1))=>![X2]:meet_of_latt_set(X1,X2)=join_of_latt_set(X1,a_2_2_lattice3(X1,X2))),inference(fof_simplification,[status(thm)],[9,theory(equality)])).
% fof(48, 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)],[13,theory(equality)])).
% fof(50, plain,![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&meet_commutative(X1))&meet_absorbing(X1))&join_absorbing(X1))&latt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>(below_refl(X1,X2,X3)<=>below(X1,X2,X3))),inference(fof_simplification,[status(thm)],[17,theory(equality)])).
% fof(53, 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(55, negated_conjecture,~(![X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(X2=meet_of_latt_set(X1,X3)<=>(latt_set_smaller(X1,X2,X3)&![X4]:(element(X4,the_carrier(X1))=>(latt_set_smaller(X1,X4,X3)=>below_refl(X1,X4,X2)))))))),inference(fof_simplification,[status(thm)],[38,theory(equality)])).
% fof(56, plain,![X1]:![X2]:((empty_carrier(X1)|~(latt_str(X1)))|element(meet_of_latt_set(X1,X2),the_carrier(X1))),inference(fof_nnf,[status(thm)],[39])).
% fof(57, plain,![X3]:![X4]:((empty_carrier(X3)|~(latt_str(X3)))|element(meet_of_latt_set(X3,X4),the_carrier(X3))),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(element(meet_of_latt_set(X1,X2),the_carrier(X1))|empty_carrier(X1)|~latt_str(X1)),inference(split_conjunct,[status(thm)],[57])).
% fof(74, plain,![X1]:![X2]:((empty_carrier(X1)|~(latt_str(X1)))|element(join_of_latt_set(X1,X2),the_carrier(X1))),inference(fof_nnf,[status(thm)],[41])).
% fof(75, plain,![X3]:![X4]:((empty_carrier(X3)|~(latt_str(X3)))|element(join_of_latt_set(X3,X4),the_carrier(X3))),inference(variable_rename,[status(thm)],[74])).
% cnf(76,plain,(element(join_of_latt_set(X1,X2),the_carrier(X1))|empty_carrier(X1)|~latt_str(X1)),inference(split_conjunct,[status(thm)],[75])).
% fof(77, plain,![X1]:![X2]:![X3]:((empty_carrier(X2)|~(latt_str(X2)))|((~(in(X1,a_2_2_lattice3(X2,X3)))|?[X4]:((element(X4,the_carrier(X2))&X1=X4)&latt_set_smaller(X2,X4,X3)))&(![X4]:((~(element(X4,the_carrier(X2)))|~(X1=X4))|~(latt_set_smaller(X2,X4,X3)))|in(X1,a_2_2_lattice3(X2,X3))))),inference(fof_nnf,[status(thm)],[42])).
% fof(78, plain,![X5]:![X6]:![X7]:((empty_carrier(X6)|~(latt_str(X6)))|((~(in(X5,a_2_2_lattice3(X6,X7)))|?[X8]:((element(X8,the_carrier(X6))&X5=X8)&latt_set_smaller(X6,X8,X7)))&(![X9]:((~(element(X9,the_carrier(X6)))|~(X5=X9))|~(latt_set_smaller(X6,X9,X7)))|in(X5,a_2_2_lattice3(X6,X7))))),inference(variable_rename,[status(thm)],[77])).
% fof(79, plain,![X5]:![X6]:![X7]:((empty_carrier(X6)|~(latt_str(X6)))|((~(in(X5,a_2_2_lattice3(X6,X7)))|((element(esk4_3(X5,X6,X7),the_carrier(X6))&X5=esk4_3(X5,X6,X7))&latt_set_smaller(X6,esk4_3(X5,X6,X7),X7)))&(![X9]:((~(element(X9,the_carrier(X6)))|~(X5=X9))|~(latt_set_smaller(X6,X9,X7)))|in(X5,a_2_2_lattice3(X6,X7))))),inference(skolemize,[status(esa)],[78])).
% fof(80, plain,![X5]:![X6]:![X7]:![X9]:(((((~(element(X9,the_carrier(X6)))|~(X5=X9))|~(latt_set_smaller(X6,X9,X7)))|in(X5,a_2_2_lattice3(X6,X7)))&(~(in(X5,a_2_2_lattice3(X6,X7)))|((element(esk4_3(X5,X6,X7),the_carrier(X6))&X5=esk4_3(X5,X6,X7))&latt_set_smaller(X6,esk4_3(X5,X6,X7),X7))))|(empty_carrier(X6)|~(latt_str(X6)))),inference(shift_quantors,[status(thm)],[79])).
% fof(81, plain,![X5]:![X6]:![X7]:![X9]:(((((~(element(X9,the_carrier(X6)))|~(X5=X9))|~(latt_set_smaller(X6,X9,X7)))|in(X5,a_2_2_lattice3(X6,X7)))|(empty_carrier(X6)|~(latt_str(X6))))&((((element(esk4_3(X5,X6,X7),the_carrier(X6))|~(in(X5,a_2_2_lattice3(X6,X7))))|(empty_carrier(X6)|~(latt_str(X6))))&((X5=esk4_3(X5,X6,X7)|~(in(X5,a_2_2_lattice3(X6,X7))))|(empty_carrier(X6)|~(latt_str(X6)))))&((latt_set_smaller(X6,esk4_3(X5,X6,X7),X7)|~(in(X5,a_2_2_lattice3(X6,X7))))|(empty_carrier(X6)|~(latt_str(X6)))))),inference(distribute,[status(thm)],[80])).
% cnf(82,plain,(empty_carrier(X1)|latt_set_smaller(X1,esk4_3(X2,X1,X3),X3)|~latt_str(X1)|~in(X2,a_2_2_lattice3(X1,X3))),inference(split_conjunct,[status(thm)],[81])).
% cnf(83,plain,(empty_carrier(X1)|X2=esk4_3(X2,X1,X3)|~latt_str(X1)|~in(X2,a_2_2_lattice3(X1,X3))),inference(split_conjunct,[status(thm)],[81])).
% cnf(84,plain,(empty_carrier(X1)|element(esk4_3(X2,X1,X3),the_carrier(X1))|~latt_str(X1)|~in(X2,a_2_2_lattice3(X1,X3))),inference(split_conjunct,[status(thm)],[81])).
% cnf(85,plain,(empty_carrier(X1)|in(X2,a_2_2_lattice3(X1,X3))|~latt_str(X1)|~latt_set_smaller(X1,X4,X3)|X2!=X4|~element(X4,the_carrier(X1))),inference(split_conjunct,[status(thm)],[81])).
% fof(86, plain,![X1]:((empty_carrier(X1)|~(latt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:((~(latt_set_smaller(X1,X2,X3))|![X4]:(~(element(X4,the_carrier(X1)))|(~(in(X4,X3))|below(X1,X2,X4))))&(?[X4]:(element(X4,the_carrier(X1))&(in(X4,X3)&~(below(X1,X2,X4))))|latt_set_smaller(X1,X2,X3))))),inference(fof_nnf,[status(thm)],[43])).
% fof(87, plain,![X5]:((empty_carrier(X5)|~(latt_str(X5)))|![X6]:(~(element(X6,the_carrier(X5)))|![X7]:((~(latt_set_smaller(X5,X6,X7))|![X8]:(~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X6,X8))))&(?[X9]:(element(X9,the_carrier(X5))&(in(X9,X7)&~(below(X5,X6,X9))))|latt_set_smaller(X5,X6,X7))))),inference(variable_rename,[status(thm)],[86])).
% fof(88, plain,![X5]:((empty_carrier(X5)|~(latt_str(X5)))|![X6]:(~(element(X6,the_carrier(X5)))|![X7]:((~(latt_set_smaller(X5,X6,X7))|![X8]:(~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X6,X8))))&((element(esk5_3(X5,X6,X7),the_carrier(X5))&(in(esk5_3(X5,X6,X7),X7)&~(below(X5,X6,esk5_3(X5,X6,X7)))))|latt_set_smaller(X5,X6,X7))))),inference(skolemize,[status(esa)],[87])).
% fof(89, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X6,X8)))|~(latt_set_smaller(X5,X6,X7)))&((element(esk5_3(X5,X6,X7),the_carrier(X5))&(in(esk5_3(X5,X6,X7),X7)&~(below(X5,X6,esk5_3(X5,X6,X7)))))|latt_set_smaller(X5,X6,X7)))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5)))),inference(shift_quantors,[status(thm)],[88])).
% fof(90, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X6,X8)))|~(latt_set_smaller(X5,X6,X7)))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&((((element(esk5_3(X5,X6,X7),the_carrier(X5))|latt_set_smaller(X5,X6,X7))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&((((in(esk5_3(X5,X6,X7),X7)|latt_set_smaller(X5,X6,X7))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&(((~(below(X5,X6,esk5_3(X5,X6,X7)))|latt_set_smaller(X5,X6,X7))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))))),inference(distribute,[status(thm)],[89])).
% cnf(91,plain,(empty_carrier(X1)|latt_set_smaller(X1,X2,X3)|~latt_str(X1)|~element(X2,the_carrier(X1))|~below(X1,X2,esk5_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[90])).
% cnf(92,plain,(empty_carrier(X1)|latt_set_smaller(X1,X2,X3)|in(esk5_3(X1,X2,X3),X3)|~latt_str(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[90])).
% cnf(93,plain,(empty_carrier(X1)|latt_set_smaller(X1,X2,X3)|element(esk5_3(X1,X2,X3),the_carrier(X1))|~latt_str(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[90])).
% cnf(94,plain,(empty_carrier(X1)|below(X1,X2,X4)|~latt_str(X1)|~element(X2,the_carrier(X1))|~latt_set_smaller(X1,X2,X3)|~in(X4,X3)|~element(X4,the_carrier(X1))),inference(split_conjunct,[status(thm)],[90])).
% fof(95, 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)],[44])).
% fof(96, 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)],[95])).
% fof(97, 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(esk6_3(X5,X6,X7),the_carrier(X5))&(latt_element_smaller(X5,esk6_3(X5,X6,X7),X6)&~(below(X5,X7,esk6_3(X5,X6,X7))))))|X7=join_of_latt_set(X5,X6)))))),inference(skolemize,[status(esa)],[96])).
% fof(98, 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(esk6_3(X5,X6,X7),the_carrier(X5))&(latt_element_smaller(X5,esk6_3(X5,X6,X7),X6)&~(below(X5,X7,esk6_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)],[97])).
% fof(99, 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(esk6_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,esk6_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,esk6_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)],[98])).
% cnf(100,plain,(empty_carrier(X1)|empty_carrier(X1)|X2=join_of_latt_set(X1,X3)|~latt_str(X1)|~latt_str(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_element_smaller(X1,X2,X3)|~below(X1,X2,esk6_3(X1,X3,X2))),inference(split_conjunct,[status(thm)],[99])).
% cnf(101,plain,(empty_carrier(X1)|empty_carrier(X1)|X2=join_of_latt_set(X1,X3)|latt_element_smaller(X1,esk6_3(X1,X3,X2),X3)|~latt_str(X1)|~latt_str(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_element_smaller(X1,X2,X3)),inference(split_conjunct,[status(thm)],[99])).
% cnf(102,plain,(empty_carrier(X1)|empty_carrier(X1)|X2=join_of_latt_set(X1,X3)|element(esk6_3(X1,X3,X2),the_carrier(X1))|~latt_str(X1)|~latt_str(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_element_smaller(X1,X2,X3)),inference(split_conjunct,[status(thm)],[99])).
% cnf(103,plain,(empty_carrier(X1)|empty_carrier(X1)|latt_element_smaller(X1,X2,X3)|~latt_str(X1)|~latt_str(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|X2!=join_of_latt_set(X1,X3)),inference(split_conjunct,[status(thm)],[99])).
% cnf(104,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)],[99])).
% fof(105, plain,![X1]:((empty_carrier(X1)|~(latt_str(X1)))|![X2]:meet_of_latt_set(X1,X2)=join_of_latt_set(X1,a_2_2_lattice3(X1,X2))),inference(fof_nnf,[status(thm)],[45])).
% fof(106, plain,![X3]:((empty_carrier(X3)|~(latt_str(X3)))|![X4]:meet_of_latt_set(X3,X4)=join_of_latt_set(X3,a_2_2_lattice3(X3,X4))),inference(variable_rename,[status(thm)],[105])).
% fof(107, plain,![X3]:![X4]:(meet_of_latt_set(X3,X4)=join_of_latt_set(X3,a_2_2_lattice3(X3,X4))|(empty_carrier(X3)|~(latt_str(X3)))),inference(shift_quantors,[status(thm)],[106])).
% cnf(108,plain,(empty_carrier(X1)|meet_of_latt_set(X1,X2)=join_of_latt_set(X1,a_2_2_lattice3(X1,X2))|~latt_str(X1)),inference(split_conjunct,[status(thm)],[107])).
% fof(118, 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)],[48])).
% fof(119, 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)],[118])).
% fof(120, 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(esk7_3(X5,X6,X7),the_carrier(X5))&(in(esk7_3(X5,X6,X7),X7)&~(below(X5,esk7_3(X5,X6,X7),X6))))|latt_element_smaller(X5,X6,X7))))),inference(skolemize,[status(esa)],[119])).
% fof(121, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,the_carrier(X5)))|(~(in(X8,X7))|below(X5,X8,X6)))|~(latt_element_smaller(X5,X6,X7)))&((element(esk7_3(X5,X6,X7),the_carrier(X5))&(in(esk7_3(X5,X6,X7),X7)&~(below(X5,esk7_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)],[120])).
% fof(122, 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(esk7_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(esk7_3(X5,X6,X7),X7)|latt_element_smaller(X5,X6,X7))|~(element(X6,the_carrier(X5))))|(empty_carrier(X5)|~(latt_str(X5))))&(((~(below(X5,esk7_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)],[121])).
% cnf(123,plain,(empty_carrier(X1)|latt_element_smaller(X1,X2,X3)|~latt_str(X1)|~element(X2,the_carrier(X1))|~below(X1,esk7_3(X1,X2,X3),X2)),inference(split_conjunct,[status(thm)],[122])).
% cnf(124,plain,(empty_carrier(X1)|latt_element_smaller(X1,X2,X3)|in(esk7_3(X1,X2,X3),X3)|~latt_str(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[122])).
% cnf(125,plain,(empty_carrier(X1)|latt_element_smaller(X1,X2,X3)|element(esk7_3(X1,X2,X3),the_carrier(X1))|~latt_str(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[122])).
% cnf(126,plain,(empty_carrier(X1)|below(X1,X4,X2)|~latt_str(X1)|~element(X2,the_carrier(X1))|~latt_element_smaller(X1,X2,X3)|~in(X4,X3)|~element(X4,the_carrier(X1))),inference(split_conjunct,[status(thm)],[122])).
% fof(136, plain,![X1]:![X2]:![X3]:(((((((empty_carrier(X1)|~(meet_commutative(X1)))|~(meet_absorbing(X1)))|~(join_absorbing(X1)))|~(latt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|((~(below_refl(X1,X2,X3))|below(X1,X2,X3))&(~(below(X1,X2,X3))|below_refl(X1,X2,X3)))),inference(fof_nnf,[status(thm)],[50])).
% fof(137, plain,![X4]:![X5]:![X6]:(((((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(join_absorbing(X4)))|~(latt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|((~(below_refl(X4,X5,X6))|below(X4,X5,X6))&(~(below(X4,X5,X6))|below_refl(X4,X5,X6)))),inference(variable_rename,[status(thm)],[136])).
% fof(138, plain,![X4]:![X5]:![X6]:(((~(below_refl(X4,X5,X6))|below(X4,X5,X6))|((((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(join_absorbing(X4)))|~(latt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4)))))&((~(below(X4,X5,X6))|below_refl(X4,X5,X6))|((((((empty_carrier(X4)|~(meet_commutative(X4)))|~(meet_absorbing(X4)))|~(join_absorbing(X4)))|~(latt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4)))))),inference(distribute,[status(thm)],[137])).
% cnf(139,plain,(empty_carrier(X2)|below_refl(X2,X3,X1)|~element(X1,the_carrier(X2))|~element(X3,the_carrier(X2))|~latt_str(X2)|~join_absorbing(X2)|~meet_absorbing(X2)|~meet_commutative(X2)|~below(X2,X3,X1)),inference(split_conjunct,[status(thm)],[138])).
% cnf(140,plain,(empty_carrier(X2)|below(X2,X3,X1)|~element(X1,the_carrier(X2))|~element(X3,the_carrier(X2))|~latt_str(X2)|~join_absorbing(X2)|~meet_absorbing(X2)|~meet_commutative(X2)|~below_refl(X2,X3,X1)),inference(split_conjunct,[status(thm)],[138])).
% fof(169, 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)],[53])).
% fof(170, 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)],[169])).
% fof(171, 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)],[170])).
% cnf(172,plain,(empty_carrier(X1)|join_absorbing(X1)|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[171])).
% cnf(173,plain,(empty_carrier(X1)|meet_absorbing(X1)|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[171])).
% cnf(175,plain,(empty_carrier(X1)|meet_commutative(X1)|~latt_str(X1)|~lattice(X1)),inference(split_conjunct,[status(thm)],[171])).
% fof(203, negated_conjecture,?[X1]:((((~(empty_carrier(X1))&lattice(X1))&complete_latt_str(X1))&latt_str(X1))&?[X2]:(element(X2,the_carrier(X1))&?[X3]:((~(X2=meet_of_latt_set(X1,X3))|(~(latt_set_smaller(X1,X2,X3))|?[X4]:(element(X4,the_carrier(X1))&(latt_set_smaller(X1,X4,X3)&~(below_refl(X1,X4,X2))))))&(X2=meet_of_latt_set(X1,X3)|(latt_set_smaller(X1,X2,X3)&![X4]:(~(element(X4,the_carrier(X1)))|(~(latt_set_smaller(X1,X4,X3))|below_refl(X1,X4,X2)))))))),inference(fof_nnf,[status(thm)],[55])).
% fof(204, negated_conjecture,?[X5]:((((~(empty_carrier(X5))&lattice(X5))&complete_latt_str(X5))&latt_str(X5))&?[X6]:(element(X6,the_carrier(X5))&?[X7]:((~(X6=meet_of_latt_set(X5,X7))|(~(latt_set_smaller(X5,X6,X7))|?[X8]:(element(X8,the_carrier(X5))&(latt_set_smaller(X5,X8,X7)&~(below_refl(X5,X8,X6))))))&(X6=meet_of_latt_set(X5,X7)|(latt_set_smaller(X5,X6,X7)&![X9]:(~(element(X9,the_carrier(X5)))|(~(latt_set_smaller(X5,X9,X7))|below_refl(X5,X9,X6)))))))),inference(variable_rename,[status(thm)],[203])).
% fof(205, negated_conjecture,((((~(empty_carrier(esk15_0))&lattice(esk15_0))&complete_latt_str(esk15_0))&latt_str(esk15_0))&(element(esk16_0,the_carrier(esk15_0))&((~(esk16_0=meet_of_latt_set(esk15_0,esk17_0))|(~(latt_set_smaller(esk15_0,esk16_0,esk17_0))|(element(esk18_0,the_carrier(esk15_0))&(latt_set_smaller(esk15_0,esk18_0,esk17_0)&~(below_refl(esk15_0,esk18_0,esk16_0))))))&(esk16_0=meet_of_latt_set(esk15_0,esk17_0)|(latt_set_smaller(esk15_0,esk16_0,esk17_0)&![X9]:(~(element(X9,the_carrier(esk15_0)))|(~(latt_set_smaller(esk15_0,X9,esk17_0))|below_refl(esk15_0,X9,esk16_0)))))))),inference(skolemize,[status(esa)],[204])).
% fof(206, negated_conjecture,![X9]:((((((~(element(X9,the_carrier(esk15_0)))|(~(latt_set_smaller(esk15_0,X9,esk17_0))|below_refl(esk15_0,X9,esk16_0)))&latt_set_smaller(esk15_0,esk16_0,esk17_0))|esk16_0=meet_of_latt_set(esk15_0,esk17_0))&(~(esk16_0=meet_of_latt_set(esk15_0,esk17_0))|(~(latt_set_smaller(esk15_0,esk16_0,esk17_0))|(element(esk18_0,the_carrier(esk15_0))&(latt_set_smaller(esk15_0,esk18_0,esk17_0)&~(below_refl(esk15_0,esk18_0,esk16_0)))))))&element(esk16_0,the_carrier(esk15_0)))&(((~(empty_carrier(esk15_0))&lattice(esk15_0))&complete_latt_str(esk15_0))&latt_str(esk15_0))),inference(shift_quantors,[status(thm)],[205])).
% fof(207, negated_conjecture,![X9]:((((((~(element(X9,the_carrier(esk15_0)))|(~(latt_set_smaller(esk15_0,X9,esk17_0))|below_refl(esk15_0,X9,esk16_0)))|esk16_0=meet_of_latt_set(esk15_0,esk17_0))&(latt_set_smaller(esk15_0,esk16_0,esk17_0)|esk16_0=meet_of_latt_set(esk15_0,esk17_0)))&(((element(esk18_0,the_carrier(esk15_0))|~(latt_set_smaller(esk15_0,esk16_0,esk17_0)))|~(esk16_0=meet_of_latt_set(esk15_0,esk17_0)))&(((latt_set_smaller(esk15_0,esk18_0,esk17_0)|~(latt_set_smaller(esk15_0,esk16_0,esk17_0)))|~(esk16_0=meet_of_latt_set(esk15_0,esk17_0)))&((~(below_refl(esk15_0,esk18_0,esk16_0))|~(latt_set_smaller(esk15_0,esk16_0,esk17_0)))|~(esk16_0=meet_of_latt_set(esk15_0,esk17_0))))))&element(esk16_0,the_carrier(esk15_0)))&(((~(empty_carrier(esk15_0))&lattice(esk15_0))&complete_latt_str(esk15_0))&latt_str(esk15_0))),inference(distribute,[status(thm)],[206])).
% cnf(208,negated_conjecture,(latt_str(esk15_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(209,negated_conjecture,(complete_latt_str(esk15_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(210,negated_conjecture,(lattice(esk15_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(211,negated_conjecture,(~empty_carrier(esk15_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(212,negated_conjecture,(element(esk16_0,the_carrier(esk15_0))),inference(split_conjunct,[status(thm)],[207])).
% cnf(213,negated_conjecture,(esk16_0!=meet_of_latt_set(esk15_0,esk17_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~below_refl(esk15_0,esk18_0,esk16_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(214,negated_conjecture,(latt_set_smaller(esk15_0,esk18_0,esk17_0)|esk16_0!=meet_of_latt_set(esk15_0,esk17_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(215,negated_conjecture,(element(esk18_0,the_carrier(esk15_0))|esk16_0!=meet_of_latt_set(esk15_0,esk17_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(216,negated_conjecture,(esk16_0=meet_of_latt_set(esk15_0,esk17_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(split_conjunct,[status(thm)],[207])).
% cnf(217,negated_conjecture,(esk16_0=meet_of_latt_set(esk15_0,esk17_0)|below_refl(esk15_0,X1,esk16_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(split_conjunct,[status(thm)],[207])).
% cnf(255,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)],[85,theory(equality)])).
% cnf(256,plain,(latt_element_smaller(X1,join_of_latt_set(X1,X2),X2)|empty_carrier(X1)|~complete_latt_str(X1)|~lattice(X1)|~element(join_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1)),inference(er,[status(thm)],[103,theory(equality)])).
% cnf(257,plain,(latt_element_smaller(X1,X2,a_2_2_lattice3(X1,X3))|empty_carrier(X1)|meet_of_latt_set(X1,X3)!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[103,108,theory(equality)])).
% cnf(275,plain,(below(X1,esk4_3(X2,X1,X3),X4)|empty_carrier(X1)|~in(X4,X3)|~element(X4,the_carrier(X1))|~element(esk4_3(X2,X1,X3),the_carrier(X1))|~latt_str(X1)|~in(X2,a_2_2_lattice3(X1,X3))),inference(spm,[status(thm)],[94,82,theory(equality)])).
% cnf(279,plain,(esk4_3(esk7_3(X1,X2,a_2_2_lattice3(X3,X4)),X3,X4)=esk7_3(X1,X2,a_2_2_lattice3(X3,X4))|empty_carrier(X3)|latt_element_smaller(X1,X2,a_2_2_lattice3(X3,X4))|empty_carrier(X1)|~latt_str(X3)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[83,124,theory(equality)])).
% cnf(285,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~element(esk18_0,the_carrier(esk15_0))|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[213,139,theory(equality)])).
% cnf(286,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~element(esk18_0,the_carrier(esk15_0))|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[285,212,theory(equality)])).
% cnf(287,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~element(esk18_0,the_carrier(esk15_0))|$false|$false),inference(rw,[status(thm)],[286,208,theory(equality)])).
% cnf(288,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~element(esk18_0,the_carrier(esk15_0))),inference(cn,[status(thm)],[287,theory(equality)])).
% cnf(289,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~element(esk18_0,the_carrier(esk15_0))),inference(sr,[status(thm)],[288,211,theory(equality)])).
% cnf(290,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)=esk16_0|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~element(X1,the_carrier(esk15_0))|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)),inference(spm,[status(thm)],[140,217,theory(equality)])).
% cnf(292,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)=esk16_0|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~element(X1,the_carrier(esk15_0))|$false|~latt_str(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)),inference(rw,[status(thm)],[290,212,theory(equality)])).
% cnf(293,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)=esk16_0|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~element(X1,the_carrier(esk15_0))|$false|$false|~latt_set_smaller(esk15_0,X1,esk17_0)),inference(rw,[status(thm)],[292,208,theory(equality)])).
% cnf(294,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)=esk16_0|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~element(X1,the_carrier(esk15_0))|~latt_set_smaller(esk15_0,X1,esk17_0)),inference(cn,[status(thm)],[293,theory(equality)])).
% cnf(295,negated_conjecture,(below(esk15_0,X1,esk16_0)|meet_of_latt_set(esk15_0,esk17_0)=esk16_0|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~element(X1,the_carrier(esk15_0))|~latt_set_smaller(esk15_0,X1,esk17_0)),inference(sr,[status(thm)],[294,211,theory(equality)])).
% cnf(298,plain,(below(X1,X2,esk6_3(X1,X3,X4))|empty_carrier(X1)|join_of_latt_set(X1,X3)=X4|~in(X2,X3)|~element(X2,the_carrier(X1))|~element(esk6_3(X1,X3,X4),the_carrier(X1))|~latt_str(X1)|~latt_element_smaller(X1,X4,X3)|~complete_latt_str(X1)|~lattice(X1)|~element(X4,the_carrier(X1))),inference(spm,[status(thm)],[126,101,theory(equality)])).
% cnf(448,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)],[256,76])).
% cnf(449,plain,(below(X1,X2,join_of_latt_set(X1,X3))|empty_carrier(X1)|~in(X2,X3)|~element(X2,the_carrier(X1))|~element(join_of_latt_set(X1,X3),the_carrier(X1))|~latt_str(X1)|~complete_latt_str(X1)|~lattice(X1)),inference(spm,[status(thm)],[126,448,theory(equality)])).
% cnf(497,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~join_absorbing(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(csr,[status(thm)],[289,215])).
% cnf(498,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~lattice(esk15_0)|~latt_str(esk15_0)),inference(spm,[status(thm)],[497,172,theory(equality)])).
% cnf(499,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[498,210,theory(equality)])).
% cnf(500,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|$false|$false),inference(rw,[status(thm)],[499,208,theory(equality)])).
% cnf(501,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(cn,[status(thm)],[500,theory(equality)])).
% cnf(502,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(sr,[status(thm)],[501,211,theory(equality)])).
% cnf(503,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~lattice(esk15_0)|~latt_str(esk15_0)),inference(spm,[status(thm)],[502,173,theory(equality)])).
% cnf(504,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[503,210,theory(equality)])).
% cnf(505,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|$false|$false),inference(rw,[status(thm)],[504,208,theory(equality)])).
% cnf(506,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(cn,[status(thm)],[505,theory(equality)])).
% cnf(507,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~meet_commutative(esk15_0)|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(sr,[status(thm)],[506,211,theory(equality)])).
% cnf(508,negated_conjecture,(empty_carrier(esk15_0)|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)|~lattice(esk15_0)|~latt_str(esk15_0)),inference(spm,[status(thm)],[507,175,theory(equality)])).
% cnf(509,negated_conjecture,(empty_carrier(esk15_0)|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)|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[508,210,theory(equality)])).
% cnf(510,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|$false|$false),inference(rw,[status(thm)],[509,208,theory(equality)])).
% cnf(511,negated_conjecture,(empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(cn,[status(thm)],[510,theory(equality)])).
% cnf(512,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~below(esk15_0,esk18_0,esk16_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(sr,[status(thm)],[511,211,theory(equality)])).
% cnf(556,plain,(below(X1,esk4_3(X2,X1,X3),X4)|empty_carrier(X1)|~in(X2,a_2_2_lattice3(X1,X3))|~in(X4,X3)|~element(X4,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[275,84])).
% cnf(612,plain,(latt_set_smaller(X1,esk7_3(X2,X3,a_2_2_lattice3(X1,X4)),X4)|empty_carrier(X1)|latt_element_smaller(X2,X3,a_2_2_lattice3(X1,X4))|empty_carrier(X2)|~in(esk7_3(X2,X3,a_2_2_lattice3(X1,X4)),a_2_2_lattice3(X1,X4))|~latt_str(X1)|~element(X3,the_carrier(X2))|~latt_str(X2)),inference(spm,[status(thm)],[82,279,theory(equality)])).
% cnf(613,plain,(below(X1,esk7_3(X2,X3,a_2_2_lattice3(X1,X4)),X5)|empty_carrier(X1)|latt_element_smaller(X2,X3,a_2_2_lattice3(X1,X4))|empty_carrier(X2)|~in(esk7_3(X2,X3,a_2_2_lattice3(X1,X4)),a_2_2_lattice3(X1,X4))|~in(X5,X4)|~element(X5,the_carrier(X1))|~latt_str(X1)|~element(X3,the_carrier(X2))|~latt_str(X2)),inference(spm,[status(thm)],[556,279,theory(equality)])).
% cnf(638,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|~lattice(esk15_0)|~latt_str(esk15_0)),inference(spm,[status(thm)],[295,172,theory(equality)])).
% cnf(639,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[638,210,theory(equality)])).
% cnf(640,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|$false|$false),inference(rw,[status(thm)],[639,208,theory(equality)])).
% cnf(641,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(cn,[status(thm)],[640,theory(equality)])).
% cnf(642,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|~meet_absorbing(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(sr,[status(thm)],[641,211,theory(equality)])).
% cnf(652,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|~lattice(esk15_0)|~latt_str(esk15_0)),inference(spm,[status(thm)],[642,173,theory(equality)])).
% cnf(653,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[652,210,theory(equality)])).
% cnf(654,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|$false|$false),inference(rw,[status(thm)],[653,208,theory(equality)])).
% cnf(655,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(cn,[status(thm)],[654,theory(equality)])).
% cnf(656,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|~meet_commutative(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(sr,[status(thm)],[655,211,theory(equality)])).
% cnf(657,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|~lattice(esk15_0)|~latt_str(esk15_0)),inference(spm,[status(thm)],[656,175,theory(equality)])).
% cnf(658,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[657,210,theory(equality)])).
% cnf(659,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))|$false|$false),inference(rw,[status(thm)],[658,208,theory(equality)])).
% cnf(660,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(cn,[status(thm)],[659,theory(equality)])).
% cnf(661,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)|~element(X1,the_carrier(esk15_0))),inference(sr,[status(thm)],[660,211,theory(equality)])).
% cnf(672,plain,(join_of_latt_set(X1,X3)=X4|below(X1,X2,esk6_3(X1,X3,X4))|empty_carrier(X1)|~latt_element_smaller(X1,X4,X3)|~in(X2,X3)|~complete_latt_str(X1)|~lattice(X1)|~element(X4,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[298,102])).
% cnf(674,plain,(join_of_latt_set(X1,X2)=X3|empty_carrier(X1)|~latt_element_smaller(X1,X3,X2)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1)|~in(X3,X2)),inference(spm,[status(thm)],[100,672,theory(equality)])).
% cnf(680,plain,(join_of_latt_set(X1,a_2_2_lattice3(X1,X2))=X3|empty_carrier(X1)|~in(X3,a_2_2_lattice3(X1,X2))|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1)|meet_of_latt_set(X1,X2)!=X3),inference(spm,[status(thm)],[674,257,theory(equality)])).
% cnf(1785,plain,(below(X1,X2,join_of_latt_set(X1,X3))|empty_carrier(X1)|~in(X2,X3)|~complete_latt_str(X1)|~lattice(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[449,76])).
% cnf(2517,plain,(join_of_latt_set(X1,a_2_2_lattice3(X1,X2))=X3|empty_carrier(X1)|meet_of_latt_set(X1,X2)!=X3|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1)|~latt_set_smaller(X1,X3,X2)),inference(spm,[status(thm)],[680,255,theory(equality)])).
% cnf(3098,plain,(latt_element_smaller(X2,X3,a_2_2_lattice3(X1,X4))|latt_set_smaller(X1,esk7_3(X2,X3,a_2_2_lattice3(X1,X4)),X4)|empty_carrier(X1)|empty_carrier(X2)|~element(X3,the_carrier(X2))|~latt_str(X1)|~latt_str(X2)),inference(csr,[status(thm)],[612,124])).
% cnf(3122,plain,(latt_element_smaller(X2,X3,a_2_2_lattice3(X1,X4))|below(X1,esk7_3(X2,X3,a_2_2_lattice3(X1,X4)),X5)|empty_carrier(X1)|empty_carrier(X2)|~in(X5,X4)|~element(X5,the_carrier(X1))|~element(X3,the_carrier(X2))|~latt_str(X1)|~latt_str(X2)),inference(csr,[status(thm)],[613,124])).
% cnf(3125,plain,(latt_element_smaller(X1,X2,a_2_2_lattice3(X1,X3))|empty_carrier(X1)|~element(X2,the_carrier(X1))|~latt_str(X1)|~in(X2,X3)),inference(spm,[status(thm)],[123,3122,theory(equality)])).
% cnf(3127,plain,(below(X1,X2,X3)|empty_carrier(X1)|join_of_latt_set(X1,a_2_2_lattice3(X1,X4))!=X2|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1)|~in(X3,X4)),inference(spm,[status(thm)],[104,3125,theory(equality)])).
% cnf(3176,plain,(below(X1,X2,X3)|empty_carrier(X1)|meet_of_latt_set(X1,X4)!=X2|~in(X3,X4)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~latt_str(X1)),inference(spm,[status(thm)],[3127,108,theory(equality)])).
% cnf(3187,plain,(below(X1,meet_of_latt_set(X1,X2),X3)|empty_carrier(X1)|~in(X3,X2)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~element(meet_of_latt_set(X1,X2),the_carrier(X1))|~latt_str(X1)),inference(er,[status(thm)],[3176,theory(equality)])).
% cnf(3214,plain,(below(X1,meet_of_latt_set(X1,X2),X3)|empty_carrier(X1)|~in(X3,X2)|~complete_latt_str(X1)|~lattice(X1)|~element(X3,the_carrier(X1))|~latt_str(X1)),inference(csr,[status(thm)],[3187,58])).
% cnf(3217,negated_conjecture,(below(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~in(X1,esk17_0)|~complete_latt_str(esk15_0)|~lattice(esk15_0)|~element(X1,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[3214,216,theory(equality)])).
% cnf(3219,negated_conjecture,(below(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~in(X1,esk17_0)|$false|~lattice(esk15_0)|~element(X1,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(rw,[status(thm)],[3217,209,theory(equality)])).
% cnf(3220,negated_conjecture,(below(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~in(X1,esk17_0)|$false|$false|~element(X1,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(rw,[status(thm)],[3219,210,theory(equality)])).
% cnf(3221,negated_conjecture,(below(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~in(X1,esk17_0)|$false|$false|~element(X1,the_carrier(esk15_0))|$false),inference(rw,[status(thm)],[3220,208,theory(equality)])).
% cnf(3222,negated_conjecture,(below(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~in(X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(cn,[status(thm)],[3221,theory(equality)])).
% cnf(3223,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)],[3222,211,theory(equality)])).
% cnf(3229,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk5_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(spm,[status(thm)],[91,3223,theory(equality)])).
% cnf(3231,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|$false|~latt_str(esk15_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk5_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(rw,[status(thm)],[3229,212,theory(equality)])).
% cnf(3232,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|$false|$false|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk5_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(rw,[status(thm)],[3231,208,theory(equality)])).
% cnf(3233,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk5_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(cn,[status(thm)],[3232,theory(equality)])).
% cnf(3234,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,X1)|latt_set_smaller(esk15_0,esk16_0,esk17_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk5_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(sr,[status(thm)],[3233,211,theory(equality)])).
% cnf(3255,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[3234,93,theory(equality)])).
% cnf(3262,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[3255,212,theory(equality)])).
% cnf(3263,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)|$false|$false),inference(rw,[status(thm)],[3262,208,theory(equality)])).
% cnf(3264,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|latt_set_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)),inference(cn,[status(thm)],[3263,theory(equality)])).
% cnf(3265,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|latt_set_smaller(esk15_0,esk16_0,X1)|~in(esk5_3(esk15_0,esk16_0,X1),esk17_0)),inference(sr,[status(thm)],[3264,211,theory(equality)])).
% cnf(3276,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|empty_carrier(esk15_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[3265,92,theory(equality)])).
% cnf(3277,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|empty_carrier(esk15_0)|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[3276,212,theory(equality)])).
% cnf(3278,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|empty_carrier(esk15_0)|$false|$false),inference(rw,[status(thm)],[3277,208,theory(equality)])).
% cnf(3279,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)|empty_carrier(esk15_0)),inference(cn,[status(thm)],[3278,theory(equality)])).
% cnf(3280,negated_conjecture,(latt_set_smaller(esk15_0,esk16_0,esk17_0)),inference(sr,[status(thm)],[3279,211,theory(equality)])).
% cnf(3283,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~complete_latt_str(esk15_0)|~lattice(esk15_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[2517,3280,theory(equality)])).
% cnf(3323,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~below(esk15_0,esk18_0,esk16_0)|$false),inference(rw,[status(thm)],[512,3280,theory(equality)])).
% cnf(3324,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~below(esk15_0,esk18_0,esk16_0)),inference(cn,[status(thm)],[3323,theory(equality)])).
% cnf(3327,negated_conjecture,(latt_set_smaller(esk15_0,esk18_0,esk17_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|$false),inference(rw,[status(thm)],[214,3280,theory(equality)])).
% cnf(3328,negated_conjecture,(latt_set_smaller(esk15_0,esk18_0,esk17_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(cn,[status(thm)],[3327,theory(equality)])).
% cnf(3329,negated_conjecture,(element(esk18_0,the_carrier(esk15_0))|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|$false),inference(rw,[status(thm)],[215,3280,theory(equality)])).
% cnf(3330,negated_conjecture,(element(esk18_0,the_carrier(esk15_0))|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(cn,[status(thm)],[3329,theory(equality)])).
% cnf(3342,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|$false|~lattice(esk15_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(rw,[status(thm)],[3283,209,theory(equality)])).
% cnf(3343,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|$false|$false|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(rw,[status(thm)],[3342,210,theory(equality)])).
% cnf(3344,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|$false|$false|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[3343,212,theory(equality)])).
% cnf(3345,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|$false|$false|$false|$false),inference(rw,[status(thm)],[3344,208,theory(equality)])).
% cnf(3346,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(cn,[status(thm)],[3345,theory(equality)])).
% cnf(3347,negated_conjecture,(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)],[3346,211,theory(equality)])).
% cnf(3551,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~in(X1,a_2_2_lattice3(esk15_0,esk17_0))|~complete_latt_str(esk15_0)|~lattice(esk15_0)|~element(X1,the_carrier(esk15_0))|~latt_str(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(spm,[status(thm)],[1785,3347,theory(equality)])).
% cnf(3603,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~in(X1,a_2_2_lattice3(esk15_0,esk17_0))|$false|~lattice(esk15_0)|~element(X1,the_carrier(esk15_0))|~latt_str(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(rw,[status(thm)],[3551,209,theory(equality)])).
% cnf(3604,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~in(X1,a_2_2_lattice3(esk15_0,esk17_0))|$false|$false|~element(X1,the_carrier(esk15_0))|~latt_str(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(rw,[status(thm)],[3603,210,theory(equality)])).
% cnf(3605,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~in(X1,a_2_2_lattice3(esk15_0,esk17_0))|$false|$false|~element(X1,the_carrier(esk15_0))|$false|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(rw,[status(thm)],[3604,208,theory(equality)])).
% cnf(3606,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|~in(X1,a_2_2_lattice3(esk15_0,esk17_0))|~element(X1,the_carrier(esk15_0))|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(cn,[status(thm)],[3605,theory(equality)])).
% cnf(3607,negated_conjecture,(below(esk15_0,X1,esk16_0)|~in(X1,a_2_2_lattice3(esk15_0,esk17_0))|~element(X1,the_carrier(esk15_0))|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0),inference(sr,[status(thm)],[3606,211,theory(equality)])).
% cnf(4136,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~element(X1,the_carrier(esk15_0))|~latt_set_smaller(esk15_0,X1,esk17_0)|~latt_str(esk15_0)),inference(spm,[status(thm)],[3607,255,theory(equality)])).
% cnf(4137,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~element(X1,the_carrier(esk15_0))|~latt_set_smaller(esk15_0,X1,esk17_0)|$false),inference(rw,[status(thm)],[4136,208,theory(equality)])).
% cnf(4138,negated_conjecture,(below(esk15_0,X1,esk16_0)|empty_carrier(esk15_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~element(X1,the_carrier(esk15_0))|~latt_set_smaller(esk15_0,X1,esk17_0)),inference(cn,[status(thm)],[4137,theory(equality)])).
% cnf(4139,negated_conjecture,(below(esk15_0,X1,esk16_0)|meet_of_latt_set(esk15_0,esk17_0)!=esk16_0|~element(X1,the_carrier(esk15_0))|~latt_set_smaller(esk15_0,X1,esk17_0)),inference(sr,[status(thm)],[4138,211,theory(equality)])).
% cnf(4141,negated_conjecture,(below(esk15_0,X1,esk16_0)|~latt_set_smaller(esk15_0,X1,esk17_0)|~element(X1,the_carrier(esk15_0))),inference(csr,[status(thm)],[4139,661])).
% cnf(4142,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)|~latt_set_smaller(esk15_0,esk7_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk7_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(spm,[status(thm)],[123,4141,theory(equality)])).
% cnf(4144,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|$false|~latt_str(esk15_0)|~latt_set_smaller(esk15_0,esk7_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk7_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(rw,[status(thm)],[4142,212,theory(equality)])).
% cnf(4145,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|$false|$false|~latt_set_smaller(esk15_0,esk7_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk7_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(rw,[status(thm)],[4144,208,theory(equality)])).
% cnf(4146,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,X1)|empty_carrier(esk15_0)|~latt_set_smaller(esk15_0,esk7_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk7_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(cn,[status(thm)],[4145,theory(equality)])).
% cnf(4147,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,X1)|~latt_set_smaller(esk15_0,esk7_3(esk15_0,esk16_0,X1),esk17_0)|~element(esk7_3(esk15_0,esk16_0,X1),the_carrier(esk15_0))),inference(sr,[status(thm)],[4146,211,theory(equality)])).
% cnf(4180,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)|~element(esk7_3(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0)),the_carrier(esk15_0))|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[4147,3098,theory(equality)])).
% cnf(4182,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)|~element(esk7_3(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0)),the_carrier(esk15_0))|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[4180,212,theory(equality)])).
% cnf(4183,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)|~element(esk7_3(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0)),the_carrier(esk15_0))|$false|$false),inference(rw,[status(thm)],[4182,208,theory(equality)])).
% cnf(4184,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)|~element(esk7_3(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0)),the_carrier(esk15_0))),inference(cn,[status(thm)],[4183,theory(equality)])).
% cnf(4185,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|~element(esk7_3(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0)),the_carrier(esk15_0))),inference(sr,[status(thm)],[4184,211,theory(equality)])).
% cnf(4324,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[4185,125,theory(equality)])).
% cnf(4326,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[4324,212,theory(equality)])).
% cnf(4327,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)|$false|$false),inference(rw,[status(thm)],[4326,208,theory(equality)])).
% cnf(4328,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|empty_carrier(esk15_0)),inference(cn,[status(thm)],[4327,theory(equality)])).
% cnf(4329,negated_conjecture,(latt_element_smaller(esk15_0,esk16_0,a_2_2_lattice3(esk15_0,esk17_0))),inference(sr,[status(thm)],[4328,211,theory(equality)])).
% cnf(4336,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|~complete_latt_str(esk15_0)|~lattice(esk15_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[674,4329,theory(equality)])).
% cnf(4348,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|$false|~lattice(esk15_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(rw,[status(thm)],[4336,209,theory(equality)])).
% cnf(4349,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|$false|$false|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(rw,[status(thm)],[4348,210,theory(equality)])).
% cnf(4350,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|$false|$false|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[4349,212,theory(equality)])).
% cnf(4351,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[4350,208,theory(equality)])).
% cnf(4352,negated_conjecture,(join_of_latt_set(esk15_0,a_2_2_lattice3(esk15_0,esk17_0))=esk16_0|empty_carrier(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))),inference(cn,[status(thm)],[4351,theory(equality)])).
% cnf(4353,negated_conjecture,(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)],[4352,211,theory(equality)])).
% cnf(4388,negated_conjecture,(esk16_0=meet_of_latt_set(esk15_0,esk17_0)|empty_carrier(esk15_0)|~latt_str(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))),inference(spm,[status(thm)],[108,4353,theory(equality)])).
% cnf(4453,negated_conjecture,(esk16_0=meet_of_latt_set(esk15_0,esk17_0)|empty_carrier(esk15_0)|$false|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))),inference(rw,[status(thm)],[4388,208,theory(equality)])).
% cnf(4454,negated_conjecture,(esk16_0=meet_of_latt_set(esk15_0,esk17_0)|empty_carrier(esk15_0)|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))),inference(cn,[status(thm)],[4453,theory(equality)])).
% cnf(4455,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|~in(esk16_0,a_2_2_lattice3(esk15_0,esk17_0))),inference(sr,[status(thm)],[4454,211,theory(equality)])).
% cnf(4479,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|empty_carrier(esk15_0)|~latt_set_smaller(esk15_0,esk16_0,esk17_0)|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(spm,[status(thm)],[4455,255,theory(equality)])).
% cnf(4480,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|empty_carrier(esk15_0)|$false|~element(esk16_0,the_carrier(esk15_0))|~latt_str(esk15_0)),inference(rw,[status(thm)],[4479,3280,theory(equality)])).
% cnf(4481,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|empty_carrier(esk15_0)|$false|$false|~latt_str(esk15_0)),inference(rw,[status(thm)],[4480,212,theory(equality)])).
% cnf(4482,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|empty_carrier(esk15_0)|$false|$false|$false),inference(rw,[status(thm)],[4481,208,theory(equality)])).
% cnf(4483,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0|empty_carrier(esk15_0)),inference(cn,[status(thm)],[4482,theory(equality)])).
% cnf(4484,negated_conjecture,(meet_of_latt_set(esk15_0,esk17_0)=esk16_0),inference(sr,[status(thm)],[4483,211,theory(equality)])).
% cnf(4538,negated_conjecture,($false|~below(esk15_0,esk18_0,esk16_0)),inference(rw,[status(thm)],[3324,4484,theory(equality)])).
% cnf(4539,negated_conjecture,(~below(esk15_0,esk18_0,esk16_0)),inference(cn,[status(thm)],[4538,theory(equality)])).
% cnf(4543,negated_conjecture,(latt_set_smaller(esk15_0,esk18_0,esk17_0)|$false),inference(rw,[status(thm)],[3328,4484,theory(equality)])).
% cnf(4544,negated_conjecture,(latt_set_smaller(esk15_0,esk18_0,esk17_0)),inference(cn,[status(thm)],[4543,theory(equality)])).
% cnf(4545,negated_conjecture,(element(esk18_0,the_carrier(esk15_0))|$false),inference(rw,[status(thm)],[3330,4484,theory(equality)])).
% cnf(4546,negated_conjecture,(element(esk18_0,the_carrier(esk15_0))),inference(cn,[status(thm)],[4545,theory(equality)])).
% cnf(4676,negated_conjecture,(~latt_set_smaller(esk15_0,esk18_0,esk17_0)|~element(esk18_0,the_carrier(esk15_0))),inference(spm,[status(thm)],[4539,4141,theory(equality)])).
% cnf(4690,negated_conjecture,($false|~element(esk18_0,the_carrier(esk15_0))),inference(rw,[status(thm)],[4676,4544,theory(equality)])).
% cnf(4691,negated_conjecture,($false|$false),inference(rw,[status(thm)],[4690,4546,theory(equality)])).
% cnf(4692,negated_conjecture,($false),inference(cn,[status(thm)],[4691,theory(equality)])).
% cnf(4693,negated_conjecture,($false),4692,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 778
% # ...of these trivial : 8
% # ...subsumed : 305
% # ...remaining for further processing: 465
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 55
% # Backward-rewritten : 67
% # Generated clauses : 1619
% # ...of the previous two non-trivial : 1565
% # Contextual simplify-reflections : 395
% # Paramodulations : 1597
% # Factorizations : 4
% # Equation resolutions : 18
% # Current number of processed clauses: 341
% # Positive orientable unit clauses: 21
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 10
% # Non-unit-clauses : 310
% # Current number of unprocessed clauses: 658
% # ...number of literals in the above : 4864
% # Clause-clause subsumption calls (NU) : 12115
% # Rec. Clause-clause subsumption calls : 3060
% # Unit Clause-clause subsumption calls : 199
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 15
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 301 leaves, 1.60+/-1.405 terms/leaf
% # Paramod-from index: 114 leaves, 1.31+/-0.677 terms/leaf
% # Paramod-into index: 256 leaves, 1.43+/-0.953 terms/leaf
% # -------------------------------------------------
% # User time : 0.194 s
% # System time : 0.010 s
% # Total time : 0.204 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.38 CPU 0.47 WC
% FINAL PrfWatch: 0.38 CPU 0.47 WC
% SZS output end Solution for /tmp/SystemOnTPTP28260/SEU351+1.tptp
%
%------------------------------------------------------------------------------