TSTP Solution File: SEU315+1 by SRASS---0.1
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%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU315+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 : art02.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 03:26:30 EST 2010
% Result : Theorem 44.51s
% Output : Solution 44.51s
% 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/SystemOnTPTP25342/SEU315+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP25342/SEU315+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP25342/SEU315+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 25438
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.02 WC
% PrfWatch: 5.55 CPU 6.03 WC
% PrfWatch: 7.18 CPU 8.03 WC
% PrfWatch: 9.18 CPU 10.04 WC
% PrfWatch: 11.17 CPU 12.04 WC
% PrfWatch: 13.16 CPU 14.05 WC
% PrfWatch: 15.15 CPU 16.05 WC
% PrfWatch: 17.14 CPU 18.06 WC
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% PrfWatch: 27.09 CPU 28.08 WC
% PrfWatch: 29.08 CPU 30.08 WC
% PrfWatch: 31.05 CPU 32.09 WC
% PrfWatch: 33.05 CPU 34.09 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 35.02 CPU 36.10 WC
% PrfWatch: 37.01 CPU 38.10 WC
% PrfWatch: 39.00 CPU 40.11 WC
% PrfWatch: 41.00 CPU 42.11 WC
% PrfWatch: 42.63 CPU 44.12 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:subset(X1,X1),file('/tmp/SRASS.s.p', reflexivity_r1_tarski)).
% fof(4, axiom,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&?[X5]:(((element(X5,powerset(the_carrier(X1)))&X5=X4)&closed_subset(X5,X1))&subset(X2,X4))))),file('/tmp/SRASS.s.p', s1_xboole_0__e1_40__pre_topc__1)).
% fof(6, axiom,![X1]:![X2]:(![X3]:(in(X3,X1)=>in(X3,X2))=>element(X1,powerset(X2))),file('/tmp/SRASS.s.p', l71_subset_1)).
% fof(7, axiom,![X1]:![X2]:((~(empty(X1))=>(element(X2,X1)<=>in(X2,X1)))&(empty(X1)=>(element(X2,X1)<=>empty(X2)))),file('/tmp/SRASS.s.p', d2_subset_1)).
% fof(9, axiom,![X1]:?[X2]:(element(X2,powerset(X1))&empty(X2)),file('/tmp/SRASS.s.p', rc2_subset_1)).
% fof(12, axiom,![X1]:![X2]:~((in(X1,X2)&empty(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(13, axiom,![X1]:~(empty(powerset(X1))),file('/tmp/SRASS.s.p', fc1_subset_1)).
% fof(18, axiom,empty(empty_set),file('/tmp/SRASS.s.p', fc1_xboole_0)).
% fof(19, axiom,![X1]:(empty(X1)=>X1=empty_set),file('/tmp/SRASS.s.p', t6_boole)).
% fof(39, conjecture,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>?[X3]:(element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>?[X5]:(((element(X5,powerset(the_carrier(X1)))&X5=X4)&closed_subset(X5,X1))&subset(X2,X4)))))),file('/tmp/SRASS.s.p', s3_subset_1__e1_40__pre_topc)).
% fof(40, negated_conjecture,~(![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))=>?[X3]:(element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>?[X5]:(((element(X5,powerset(the_carrier(X1)))&X5=X4)&closed_subset(X5,X1))&subset(X2,X4))))))),inference(assume_negation,[status(cth)],[39])).
% fof(42, plain,![X1]:![X2]:((~(empty(X1))=>(element(X2,X1)<=>in(X2,X1)))&(empty(X1)=>(element(X2,X1)<=>empty(X2)))),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(44, plain,![X1]:~(empty(powerset(X1))),inference(fof_simplification,[status(thm)],[13,theory(equality)])).
% fof(47, plain,![X3]:![X4]:subset(X3,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(48,plain,(subset(X1,X1)),inference(split_conjunct,[status(thm)],[47])).
% fof(58, plain,![X1]:![X2]:(((~(topological_space(X1))|~(top_str(X1)))|~(element(X2,powerset(the_carrier(X1)))))|?[X3]:![X4]:((~(in(X4,X3))|(in(X4,powerset(the_carrier(X1)))&?[X5]:(((element(X5,powerset(the_carrier(X1)))&X5=X4)&closed_subset(X5,X1))&subset(X2,X4))))&((~(in(X4,powerset(the_carrier(X1))))|![X5]:(((~(element(X5,powerset(the_carrier(X1))))|~(X5=X4))|~(closed_subset(X5,X1)))|~(subset(X2,X4))))|in(X4,X3)))),inference(fof_nnf,[status(thm)],[4])).
% fof(59, plain,![X6]:![X7]:(((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6)))))|?[X8]:![X9]:((~(in(X9,X8))|(in(X9,powerset(the_carrier(X6)))&?[X10]:(((element(X10,powerset(the_carrier(X6)))&X10=X9)&closed_subset(X10,X6))&subset(X7,X9))))&((~(in(X9,powerset(the_carrier(X6))))|![X11]:(((~(element(X11,powerset(the_carrier(X6))))|~(X11=X9))|~(closed_subset(X11,X6)))|~(subset(X7,X9))))|in(X9,X8)))),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X6]:![X7]:(((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6)))))|![X9]:((~(in(X9,esk2_2(X6,X7)))|(in(X9,powerset(the_carrier(X6)))&(((element(esk3_3(X6,X7,X9),powerset(the_carrier(X6)))&esk3_3(X6,X7,X9)=X9)&closed_subset(esk3_3(X6,X7,X9),X6))&subset(X7,X9))))&((~(in(X9,powerset(the_carrier(X6))))|![X11]:(((~(element(X11,powerset(the_carrier(X6))))|~(X11=X9))|~(closed_subset(X11,X6)))|~(subset(X7,X9))))|in(X9,esk2_2(X6,X7))))),inference(skolemize,[status(esa)],[59])).
% fof(61, plain,![X6]:![X7]:![X9]:![X11]:(((((((~(element(X11,powerset(the_carrier(X6))))|~(X11=X9))|~(closed_subset(X11,X6)))|~(subset(X7,X9)))|~(in(X9,powerset(the_carrier(X6)))))|in(X9,esk2_2(X6,X7)))&(~(in(X9,esk2_2(X6,X7)))|(in(X9,powerset(the_carrier(X6)))&(((element(esk3_3(X6,X7,X9),powerset(the_carrier(X6)))&esk3_3(X6,X7,X9)=X9)&closed_subset(esk3_3(X6,X7,X9),X6))&subset(X7,X9)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6)))))),inference(shift_quantors,[status(thm)],[60])).
% fof(62, plain,![X6]:![X7]:![X9]:![X11]:(((((((~(element(X11,powerset(the_carrier(X6))))|~(X11=X9))|~(closed_subset(X11,X6)))|~(subset(X7,X9)))|~(in(X9,powerset(the_carrier(X6)))))|in(X9,esk2_2(X6,X7)))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6))))))&(((in(X9,powerset(the_carrier(X6)))|~(in(X9,esk2_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6))))))&(((((element(esk3_3(X6,X7,X9),powerset(the_carrier(X6)))|~(in(X9,esk2_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6))))))&((esk3_3(X6,X7,X9)=X9|~(in(X9,esk2_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6)))))))&((closed_subset(esk3_3(X6,X7,X9),X6)|~(in(X9,esk2_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6)))))))&((subset(X7,X9)|~(in(X9,esk2_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(the_carrier(X6))))))))),inference(distribute,[status(thm)],[61])).
% cnf(63,plain,(subset(X1,X3)|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X3,esk2_2(X2,X1))),inference(split_conjunct,[status(thm)],[62])).
% cnf(64,plain,(closed_subset(esk3_3(X2,X1,X3),X2)|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X3,esk2_2(X2,X1))),inference(split_conjunct,[status(thm)],[62])).
% cnf(65,plain,(esk3_3(X2,X1,X3)=X3|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X3,esk2_2(X2,X1))),inference(split_conjunct,[status(thm)],[62])).
% cnf(66,plain,(element(esk3_3(X2,X1,X3),powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X3,esk2_2(X2,X1))),inference(split_conjunct,[status(thm)],[62])).
% cnf(67,plain,(in(X3,powerset(the_carrier(X2)))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X3,esk2_2(X2,X1))),inference(split_conjunct,[status(thm)],[62])).
% cnf(68,plain,(in(X3,esk2_2(X2,X1))|~element(X1,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X3,powerset(the_carrier(X2)))|~subset(X1,X3)|~closed_subset(X4,X2)|X4!=X3|~element(X4,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[62])).
% fof(72, plain,![X1]:![X2]:(?[X3]:(in(X3,X1)&~(in(X3,X2)))|element(X1,powerset(X2))),inference(fof_nnf,[status(thm)],[6])).
% fof(73, plain,![X4]:![X5]:(?[X6]:(in(X6,X4)&~(in(X6,X5)))|element(X4,powerset(X5))),inference(variable_rename,[status(thm)],[72])).
% fof(74, plain,![X4]:![X5]:((in(esk5_2(X4,X5),X4)&~(in(esk5_2(X4,X5),X5)))|element(X4,powerset(X5))),inference(skolemize,[status(esa)],[73])).
% fof(75, plain,![X4]:![X5]:((in(esk5_2(X4,X5),X4)|element(X4,powerset(X5)))&(~(in(esk5_2(X4,X5),X5))|element(X4,powerset(X5)))),inference(distribute,[status(thm)],[74])).
% cnf(76,plain,(element(X1,powerset(X2))|~in(esk5_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[75])).
% cnf(77,plain,(element(X1,powerset(X2))|in(esk5_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[75])).
% fof(78, plain,![X1]:![X2]:((empty(X1)|((~(element(X2,X1))|in(X2,X1))&(~(in(X2,X1))|element(X2,X1))))&(~(empty(X1))|((~(element(X2,X1))|empty(X2))&(~(empty(X2))|element(X2,X1))))),inference(fof_nnf,[status(thm)],[42])).
% fof(79, plain,![X3]:![X4]:((empty(X3)|((~(element(X4,X3))|in(X4,X3))&(~(in(X4,X3))|element(X4,X3))))&(~(empty(X3))|((~(element(X4,X3))|empty(X4))&(~(empty(X4))|element(X4,X3))))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X3]:![X4]:((((~(element(X4,X3))|in(X4,X3))|empty(X3))&((~(in(X4,X3))|element(X4,X3))|empty(X3)))&(((~(element(X4,X3))|empty(X4))|~(empty(X3)))&((~(empty(X4))|element(X4,X3))|~(empty(X3))))),inference(distribute,[status(thm)],[79])).
% cnf(83,plain,(empty(X1)|element(X2,X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[80])).
% cnf(84,plain,(empty(X1)|in(X2,X1)|~element(X2,X1)),inference(split_conjunct,[status(thm)],[80])).
% fof(91, plain,![X3]:?[X4]:(element(X4,powerset(X3))&empty(X4)),inference(variable_rename,[status(thm)],[9])).
% fof(92, plain,![X3]:(element(esk7_1(X3),powerset(X3))&empty(esk7_1(X3))),inference(skolemize,[status(esa)],[91])).
% cnf(93,plain,(empty(esk7_1(X1))),inference(split_conjunct,[status(thm)],[92])).
% cnf(94,plain,(element(esk7_1(X1),powerset(X1))),inference(split_conjunct,[status(thm)],[92])).
% fof(102, plain,![X1]:![X2]:(~(in(X1,X2))|~(empty(X2))),inference(fof_nnf,[status(thm)],[12])).
% fof(103, plain,![X3]:![X4]:(~(in(X3,X4))|~(empty(X4))),inference(variable_rename,[status(thm)],[102])).
% cnf(104,plain,(~empty(X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[103])).
% fof(105, plain,![X2]:~(empty(powerset(X2))),inference(variable_rename,[status(thm)],[44])).
% cnf(106,plain,(~empty(powerset(X1))),inference(split_conjunct,[status(thm)],[105])).
% cnf(122,plain,(empty(empty_set)),inference(split_conjunct,[status(thm)],[18])).
% fof(123, plain,![X1]:(~(empty(X1))|X1=empty_set),inference(fof_nnf,[status(thm)],[19])).
% fof(124, plain,![X2]:(~(empty(X2))|X2=empty_set),inference(variable_rename,[status(thm)],[123])).
% cnf(125,plain,(X1=empty_set|~empty(X1)),inference(split_conjunct,[status(thm)],[124])).
% fof(217, negated_conjecture,?[X1]:?[X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(the_carrier(X1))))&![X3]:(~(element(X3,powerset(powerset(the_carrier(X1)))))|?[X4]:(element(X4,powerset(the_carrier(X1)))&((~(in(X4,X3))|![X5]:(((~(element(X5,powerset(the_carrier(X1))))|~(X5=X4))|~(closed_subset(X5,X1)))|~(subset(X2,X4))))&(in(X4,X3)|?[X5]:(((element(X5,powerset(the_carrier(X1)))&X5=X4)&closed_subset(X5,X1))&subset(X2,X4))))))),inference(fof_nnf,[status(thm)],[40])).
% fof(218, negated_conjecture,?[X6]:?[X7]:(((topological_space(X6)&top_str(X6))&element(X7,powerset(the_carrier(X6))))&![X8]:(~(element(X8,powerset(powerset(the_carrier(X6)))))|?[X9]:(element(X9,powerset(the_carrier(X6)))&((~(in(X9,X8))|![X10]:(((~(element(X10,powerset(the_carrier(X6))))|~(X10=X9))|~(closed_subset(X10,X6)))|~(subset(X7,X9))))&(in(X9,X8)|?[X11]:(((element(X11,powerset(the_carrier(X6)))&X11=X9)&closed_subset(X11,X6))&subset(X7,X9))))))),inference(variable_rename,[status(thm)],[217])).
% fof(219, negated_conjecture,(((topological_space(esk11_0)&top_str(esk11_0))&element(esk12_0,powerset(the_carrier(esk11_0))))&![X8]:(~(element(X8,powerset(powerset(the_carrier(esk11_0)))))|(element(esk13_1(X8),powerset(the_carrier(esk11_0)))&((~(in(esk13_1(X8),X8))|![X10]:(((~(element(X10,powerset(the_carrier(esk11_0))))|~(X10=esk13_1(X8)))|~(closed_subset(X10,esk11_0)))|~(subset(esk12_0,esk13_1(X8)))))&(in(esk13_1(X8),X8)|(((element(esk14_1(X8),powerset(the_carrier(esk11_0)))&esk14_1(X8)=esk13_1(X8))&closed_subset(esk14_1(X8),esk11_0))&subset(esk12_0,esk13_1(X8)))))))),inference(skolemize,[status(esa)],[218])).
% fof(220, negated_conjecture,![X8]:![X10]:((((((((~(element(X10,powerset(the_carrier(esk11_0))))|~(X10=esk13_1(X8)))|~(closed_subset(X10,esk11_0)))|~(subset(esk12_0,esk13_1(X8))))|~(in(esk13_1(X8),X8)))&(in(esk13_1(X8),X8)|(((element(esk14_1(X8),powerset(the_carrier(esk11_0)))&esk14_1(X8)=esk13_1(X8))&closed_subset(esk14_1(X8),esk11_0))&subset(esk12_0,esk13_1(X8)))))&element(esk13_1(X8),powerset(the_carrier(esk11_0))))|~(element(X8,powerset(powerset(the_carrier(esk11_0))))))&((topological_space(esk11_0)&top_str(esk11_0))&element(esk12_0,powerset(the_carrier(esk11_0))))),inference(shift_quantors,[status(thm)],[219])).
% fof(221, negated_conjecture,![X8]:![X10]:((((((((~(element(X10,powerset(the_carrier(esk11_0))))|~(X10=esk13_1(X8)))|~(closed_subset(X10,esk11_0)))|~(subset(esk12_0,esk13_1(X8))))|~(in(esk13_1(X8),X8)))|~(element(X8,powerset(powerset(the_carrier(esk11_0))))))&(((((element(esk14_1(X8),powerset(the_carrier(esk11_0)))|in(esk13_1(X8),X8))|~(element(X8,powerset(powerset(the_carrier(esk11_0))))))&((esk14_1(X8)=esk13_1(X8)|in(esk13_1(X8),X8))|~(element(X8,powerset(powerset(the_carrier(esk11_0)))))))&((closed_subset(esk14_1(X8),esk11_0)|in(esk13_1(X8),X8))|~(element(X8,powerset(powerset(the_carrier(esk11_0)))))))&((subset(esk12_0,esk13_1(X8))|in(esk13_1(X8),X8))|~(element(X8,powerset(powerset(the_carrier(esk11_0))))))))&(element(esk13_1(X8),powerset(the_carrier(esk11_0)))|~(element(X8,powerset(powerset(the_carrier(esk11_0)))))))&((topological_space(esk11_0)&top_str(esk11_0))&element(esk12_0,powerset(the_carrier(esk11_0))))),inference(distribute,[status(thm)],[220])).
% cnf(222,negated_conjecture,(element(esk12_0,powerset(the_carrier(esk11_0)))),inference(split_conjunct,[status(thm)],[221])).
% cnf(223,negated_conjecture,(top_str(esk11_0)),inference(split_conjunct,[status(thm)],[221])).
% cnf(224,negated_conjecture,(topological_space(esk11_0)),inference(split_conjunct,[status(thm)],[221])).
% cnf(225,negated_conjecture,(element(esk13_1(X1),powerset(the_carrier(esk11_0)))|~element(X1,powerset(powerset(the_carrier(esk11_0))))),inference(split_conjunct,[status(thm)],[221])).
% cnf(226,negated_conjecture,(in(esk13_1(X1),X1)|subset(esk12_0,esk13_1(X1))|~element(X1,powerset(powerset(the_carrier(esk11_0))))),inference(split_conjunct,[status(thm)],[221])).
% cnf(227,negated_conjecture,(in(esk13_1(X1),X1)|closed_subset(esk14_1(X1),esk11_0)|~element(X1,powerset(powerset(the_carrier(esk11_0))))),inference(split_conjunct,[status(thm)],[221])).
% cnf(228,negated_conjecture,(in(esk13_1(X1),X1)|esk14_1(X1)=esk13_1(X1)|~element(X1,powerset(powerset(the_carrier(esk11_0))))),inference(split_conjunct,[status(thm)],[221])).
% cnf(229,negated_conjecture,(in(esk13_1(X1),X1)|element(esk14_1(X1),powerset(the_carrier(esk11_0)))|~element(X1,powerset(powerset(the_carrier(esk11_0))))),inference(split_conjunct,[status(thm)],[221])).
% cnf(230,negated_conjecture,(~element(X1,powerset(powerset(the_carrier(esk11_0))))|~in(esk13_1(X1),X1)|~subset(esk12_0,esk13_1(X1))|~closed_subset(X2,esk11_0)|X2!=esk13_1(X1)|~element(X2,powerset(the_carrier(esk11_0)))),inference(split_conjunct,[status(thm)],[221])).
% cnf(231,plain,(element(X2,X1)|~in(X2,X1)),inference(csr,[status(thm)],[83,104])).
% cnf(232,plain,(in(X1,esk2_2(X2,X3))|~closed_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X1,powerset(the_carrier(X2)))|~subset(X3,X1)),inference(er,[status(thm)],[68,theory(equality)])).
% cnf(233,plain,(in(X1,esk2_2(X2,X3))|~closed_subset(X1,X2)|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~in(X1,powerset(the_carrier(X2)))|~subset(X3,X1)),inference(csr,[status(thm)],[232,231])).
% cnf(236,plain,(empty_set=esk7_1(X1)),inference(spm,[status(thm)],[125,93,theory(equality)])).
% cnf(316,plain,(element(X1,powerset(X2))|~empty(X1)),inference(spm,[status(thm)],[104,77,theory(equality)])).
% cnf(317,plain,(element(esk5_2(X1,X2),X1)|element(X1,powerset(X2))),inference(spm,[status(thm)],[231,77,theory(equality)])).
% cnf(380,plain,(element(X1,powerset(X2))|empty(X2)|~element(esk5_2(X1,X2),X2)),inference(spm,[status(thm)],[76,84,theory(equality)])).
% cnf(488,plain,(in(esk5_2(esk2_2(X1,X2),X3),powerset(the_carrier(X1)))|element(esk2_2(X1,X2),powerset(X3))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1)),inference(spm,[status(thm)],[67,77,theory(equality)])).
% cnf(489,plain,(in(X1,powerset(the_carrier(X2)))|empty(esk2_2(X2,X3))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~element(X1,esk2_2(X2,X3))),inference(spm,[status(thm)],[67,84,theory(equality)])).
% cnf(491,plain,(esk3_3(X1,X2,X3)=X3|empty(esk2_2(X1,X2))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1)|~element(X3,esk2_2(X1,X2))),inference(spm,[status(thm)],[65,84,theory(equality)])).
% cnf(529,plain,(in(X1,esk2_2(X2,X3))|empty(powerset(the_carrier(X2)))|~closed_subset(X1,X2)|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~subset(X3,X1)|~element(X1,powerset(the_carrier(X2)))),inference(spm,[status(thm)],[233,84,theory(equality)])).
% cnf(530,plain,(in(X1,esk2_2(X2,X3))|~closed_subset(X1,X2)|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~subset(X3,X1)|~element(X1,powerset(the_carrier(X2)))),inference(sr,[status(thm)],[529,106,theory(equality)])).
% cnf(532,plain,(element(empty_set,powerset(X1))),inference(rw,[status(thm)],[94,236,theory(equality)])).
% cnf(550,negated_conjecture,(esk14_1(empty_set)=esk13_1(empty_set)|in(esk13_1(empty_set),empty_set)),inference(spm,[status(thm)],[228,532,theory(equality)])).
% cnf(551,negated_conjecture,(in(esk13_1(empty_set),empty_set)|subset(esk12_0,esk13_1(empty_set))),inference(spm,[status(thm)],[226,532,theory(equality)])).
% cnf(554,negated_conjecture,(esk13_1(empty_set)!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~in(esk13_1(empty_set),empty_set)|~subset(esk12_0,esk13_1(empty_set))),inference(spm,[status(thm)],[230,532,theory(equality)])).
% cnf(588,negated_conjecture,(in(esk13_1(X1),X1)|subset(esk12_0,esk13_1(X1))|~empty(X1)),inference(spm,[status(thm)],[226,316,theory(equality)])).
% cnf(589,negated_conjecture,(closed_subset(esk14_1(X1),esk11_0)|in(esk13_1(X1),X1)|~empty(X1)),inference(spm,[status(thm)],[227,316,theory(equality)])).
% cnf(590,negated_conjecture,(element(esk14_1(X1),powerset(the_carrier(esk11_0)))|in(esk13_1(X1),X1)|~empty(X1)),inference(spm,[status(thm)],[229,316,theory(equality)])).
% cnf(693,negated_conjecture,(esk14_1(empty_set)=esk13_1(empty_set)|~empty(empty_set)),inference(spm,[status(thm)],[104,550,theory(equality)])).
% cnf(697,negated_conjecture,(esk14_1(empty_set)=esk13_1(empty_set)|$false),inference(rw,[status(thm)],[693,122,theory(equality)])).
% cnf(698,negated_conjecture,(esk14_1(empty_set)=esk13_1(empty_set)),inference(cn,[status(thm)],[697,theory(equality)])).
% cnf(951,negated_conjecture,(subset(esk12_0,esk13_1(X1))|~empty(X1)),inference(csr,[status(thm)],[588,104])).
% cnf(956,negated_conjecture,(closed_subset(esk14_1(X1),esk11_0)|~empty(X1)),inference(csr,[status(thm)],[589,104])).
% cnf(957,negated_conjecture,(closed_subset(esk13_1(empty_set),esk11_0)|~empty(empty_set)),inference(spm,[status(thm)],[956,698,theory(equality)])).
% cnf(959,negated_conjecture,(closed_subset(esk13_1(empty_set),esk11_0)|$false),inference(rw,[status(thm)],[957,122,theory(equality)])).
% cnf(960,negated_conjecture,(closed_subset(esk13_1(empty_set),esk11_0)),inference(cn,[status(thm)],[959,theory(equality)])).
% cnf(2667,negated_conjecture,(element(esk14_1(X1),powerset(the_carrier(esk11_0)))|~empty(X1)),inference(csr,[status(thm)],[590,104])).
% cnf(2700,negated_conjecture,(element(esk13_1(empty_set),powerset(the_carrier(esk11_0)))|~empty(empty_set)),inference(spm,[status(thm)],[2667,698,theory(equality)])).
% cnf(2703,negated_conjecture,(element(esk13_1(empty_set),powerset(the_carrier(esk11_0)))|$false),inference(rw,[status(thm)],[2700,122,theory(equality)])).
% cnf(2704,negated_conjecture,(element(esk13_1(empty_set),powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[2703,theory(equality)])).
% cnf(4929,plain,(element(esk2_2(X1,X2),powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1)),inference(spm,[status(thm)],[76,488,theory(equality)])).
% cnf(4963,negated_conjecture,(empty(esk2_2(esk11_0,esk12_0))|in(X1,powerset(the_carrier(esk11_0)))|~element(X1,esk2_2(esk11_0,esk12_0))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[489,222,theory(equality)])).
% cnf(5067,negated_conjecture,(empty(esk2_2(esk11_0,esk12_0))|in(X1,powerset(the_carrier(esk11_0)))|~element(X1,esk2_2(esk11_0,esk12_0))|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[4963,223,theory(equality)])).
% cnf(5068,negated_conjecture,(empty(esk2_2(esk11_0,esk12_0))|in(X1,powerset(the_carrier(esk11_0)))|~element(X1,esk2_2(esk11_0,esk12_0))|$false|$false),inference(rw,[status(thm)],[5067,224,theory(equality)])).
% cnf(5069,negated_conjecture,(empty(esk2_2(esk11_0,esk12_0))|in(X1,powerset(the_carrier(esk11_0)))|~element(X1,esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[5068,theory(equality)])).
% cnf(5115,negated_conjecture,(esk3_3(esk11_0,esk12_0,X1)=X1|empty(esk2_2(esk11_0,esk12_0))|~element(X1,esk2_2(esk11_0,esk12_0))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[491,222,theory(equality)])).
% cnf(5219,negated_conjecture,(esk3_3(esk11_0,esk12_0,X1)=X1|empty(esk2_2(esk11_0,esk12_0))|~element(X1,esk2_2(esk11_0,esk12_0))|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[5115,223,theory(equality)])).
% cnf(5220,negated_conjecture,(esk3_3(esk11_0,esk12_0,X1)=X1|empty(esk2_2(esk11_0,esk12_0))|~element(X1,esk2_2(esk11_0,esk12_0))|$false|$false),inference(rw,[status(thm)],[5219,224,theory(equality)])).
% cnf(5221,negated_conjecture,(esk3_3(esk11_0,esk12_0,X1)=X1|empty(esk2_2(esk11_0,esk12_0))|~element(X1,esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[5220,theory(equality)])).
% cnf(7719,plain,(in(X1,powerset(the_carrier(X2)))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)|~topological_space(X2)|~closed_subset(X1,X2)|~element(X1,powerset(the_carrier(X2)))|~subset(X3,X1)),inference(spm,[status(thm)],[67,530,theory(equality)])).
% cnf(7803,negated_conjecture,(~closed_subset(esk13_1(empty_set),esk11_0)|~in(esk13_1(empty_set),empty_set)|~subset(esk12_0,esk13_1(empty_set))),inference(spm,[status(thm)],[554,2704,theory(equality)])).
% cnf(7882,negated_conjecture,($false|~in(esk13_1(empty_set),empty_set)|~subset(esk12_0,esk13_1(empty_set))),inference(rw,[status(thm)],[7803,960,theory(equality)])).
% cnf(7883,negated_conjecture,(~in(esk13_1(empty_set),empty_set)|~subset(esk12_0,esk13_1(empty_set))),inference(cn,[status(thm)],[7882,theory(equality)])).
% cnf(7890,negated_conjecture,(~in(esk13_1(empty_set),empty_set)|~empty(empty_set)),inference(spm,[status(thm)],[7883,951,theory(equality)])).
% cnf(7892,negated_conjecture,(~in(esk13_1(empty_set),empty_set)|$false),inference(rw,[status(thm)],[7890,122,theory(equality)])).
% cnf(7893,negated_conjecture,(~in(esk13_1(empty_set),empty_set)),inference(cn,[status(thm)],[7892,theory(equality)])).
% cnf(7899,negated_conjecture,(subset(esk12_0,esk13_1(empty_set))),inference(sr,[status(thm)],[551,7893,theory(equality)])).
% cnf(8092,negated_conjecture,(element(X1,powerset(the_carrier(esk11_0)))|empty(esk2_2(esk11_0,esk12_0))|~element(X1,esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[231,5069,theory(equality)])).
% cnf(8099,negated_conjecture,(empty(powerset(the_carrier(esk11_0)))|element(X1,powerset(powerset(the_carrier(esk11_0))))|empty(esk2_2(esk11_0,esk12_0))|~element(esk5_2(X1,powerset(the_carrier(esk11_0))),esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[380,8092,theory(equality)])).
% cnf(8168,negated_conjecture,(element(X1,powerset(powerset(the_carrier(esk11_0))))|empty(esk2_2(esk11_0,esk12_0))|~element(esk5_2(X1,powerset(the_carrier(esk11_0))),esk2_2(esk11_0,esk12_0))),inference(sr,[status(thm)],[8099,106,theory(equality)])).
% cnf(9353,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[226,4929,theory(equality)])).
% cnf(9354,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,X1)),esk11_0)|in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[227,4929,theory(equality)])).
% cnf(9356,negated_conjecture,(esk13_1(esk2_2(esk11_0,X1))!=X2|~closed_subset(X2,esk11_0)|~element(X2,powerset(the_carrier(esk11_0)))|~in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[230,4929,theory(equality)])).
% cnf(9391,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[9353,223,theory(equality)])).
% cnf(9392,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false),inference(rw,[status(thm)],[9391,224,theory(equality)])).
% cnf(9393,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[9392,theory(equality)])).
% cnf(9394,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,X1)),esk11_0)|in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[9354,223,theory(equality)])).
% cnf(9395,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,X1)),esk11_0)|in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false),inference(rw,[status(thm)],[9394,224,theory(equality)])).
% cnf(9396,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,X1)),esk11_0)|in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~element(X1,powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[9395,theory(equality)])).
% cnf(9400,negated_conjecture,(esk13_1(esk2_2(esk11_0,X1))!=X2|~closed_subset(X2,esk11_0)|~element(X2,powerset(the_carrier(esk11_0)))|~in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[9356,223,theory(equality)])).
% cnf(9401,negated_conjecture,(esk13_1(esk2_2(esk11_0,X1))!=X2|~closed_subset(X2,esk11_0)|~element(X2,powerset(the_carrier(esk11_0)))|~in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false),inference(rw,[status(thm)],[9400,224,theory(equality)])).
% cnf(9402,negated_conjecture,(esk13_1(esk2_2(esk11_0,X1))!=X2|~closed_subset(X2,esk11_0)|~element(X2,powerset(the_carrier(esk11_0)))|~in(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|~subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[9401,theory(equality)])).
% cnf(60926,negated_conjecture,(subset(X1,esk13_1(esk2_2(esk11_0,X1)))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[63,9393,theory(equality)])).
% cnf(60959,negated_conjecture,(subset(X1,esk13_1(esk2_2(esk11_0,X1)))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[60926,223,theory(equality)])).
% cnf(60960,negated_conjecture,(subset(X1,esk13_1(esk2_2(esk11_0,X1)))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false),inference(rw,[status(thm)],[60959,224,theory(equality)])).
% cnf(60961,negated_conjecture,(subset(X1,esk13_1(esk2_2(esk11_0,X1)))|subset(esk12_0,esk13_1(esk2_2(esk11_0,X1)))|~element(X1,powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[60960,theory(equality)])).
% cnf(61408,negated_conjecture,(subset(esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(spm,[status(thm)],[60961,222,theory(equality)])).
% cnf(61829,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,X1)),esk2_2(esk11_0,X1))|closed_subset(esk14_1(esk2_2(esk11_0,X1)),esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))),inference(spm,[status(thm)],[231,9396,theory(equality)])).
% cnf(64387,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|empty(esk2_2(esk11_0,esk12_0))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~element(esk12_0,powerset(the_carrier(esk11_0)))),inference(spm,[status(thm)],[5221,61829,theory(equality)])).
% cnf(64429,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|empty(esk2_2(esk11_0,esk12_0))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false),inference(rw,[status(thm)],[64387,222,theory(equality)])).
% cnf(64430,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|empty(esk2_2(esk11_0,esk12_0))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(cn,[status(thm)],[64429,theory(equality)])).
% cnf(64503,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(csr,[status(thm)],[64430,956])).
% cnf(64504,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~element(esk12_0,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[64,64503,theory(equality)])).
% cnf(64505,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~element(esk12_0,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[66,64503,theory(equality)])).
% cnf(64507,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false|~top_str(esk11_0)|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[64504,222,theory(equality)])).
% cnf(64508,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false|$false|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[64507,223,theory(equality)])).
% cnf(64509,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false|$false|$false|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[64508,224,theory(equality)])).
% cnf(64510,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[64509,theory(equality)])).
% cnf(64511,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false|~top_str(esk11_0)|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[64505,222,theory(equality)])).
% cnf(64512,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false|$false|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[64511,223,theory(equality)])).
% cnf(64513,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false|$false|$false|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[64512,224,theory(equality)])).
% cnf(64514,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[64513,theory(equality)])).
% cnf(66776,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~element(esk12_0,powerset(the_carrier(esk11_0)))),inference(spm,[status(thm)],[64510,9396,theory(equality)])).
% cnf(66785,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|$false),inference(rw,[status(thm)],[66776,222,theory(equality)])).
% cnf(66786,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(cn,[status(thm)],[66785,theory(equality)])).
% cnf(83289,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|~element(esk12_0,powerset(the_carrier(esk11_0)))),inference(spm,[status(thm)],[64514,9396,theory(equality)])).
% cnf(83298,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|$false),inference(rw,[status(thm)],[83289,222,theory(equality)])).
% cnf(83299,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[83298,theory(equality)])).
% cnf(87119,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~subset(esk14_1(X2),X1)|~empty(X2)),inference(spm,[status(thm)],[7719,2667,theory(equality)])).
% cnf(87220,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~subset(esk13_1(X2),X1)|~element(X2,powerset(powerset(the_carrier(esk11_0))))),inference(spm,[status(thm)],[7719,225,theory(equality)])).
% cnf(87369,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)|~subset(esk14_1(X2),X1)|~empty(X2)),inference(rw,[status(thm)],[87119,223,theory(equality)])).
% cnf(87370,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false|~subset(esk14_1(X2),X1)|~empty(X2)),inference(rw,[status(thm)],[87369,224,theory(equality)])).
% cnf(87371,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~subset(esk14_1(X2),X1)|~empty(X2)),inference(cn,[status(thm)],[87370,theory(equality)])).
% cnf(87672,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)|~subset(esk13_1(X2),X1)|~element(X2,powerset(powerset(the_carrier(esk11_0))))),inference(rw,[status(thm)],[87220,223,theory(equality)])).
% cnf(87673,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false|~subset(esk13_1(X2),X1)|~element(X2,powerset(powerset(the_carrier(esk11_0))))),inference(rw,[status(thm)],[87672,224,theory(equality)])).
% cnf(87674,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~subset(esk13_1(X2),X1)|~element(X2,powerset(powerset(the_carrier(esk11_0))))),inference(cn,[status(thm)],[87673,theory(equality)])).
% cnf(87916,negated_conjecture,(in(esk14_1(X1),powerset(the_carrier(esk11_0)))|~empty(X1)|~closed_subset(esk14_1(X1),esk11_0)|~element(esk14_1(X1),powerset(the_carrier(esk11_0)))),inference(spm,[status(thm)],[87371,48,theory(equality)])).
% cnf(87925,negated_conjecture,(in(esk14_1(X1),powerset(the_carrier(esk11_0)))|~empty(X1)|~closed_subset(esk14_1(X1),esk11_0)),inference(csr,[status(thm)],[87916,2667])).
% cnf(87926,negated_conjecture,(in(esk14_1(X1),powerset(the_carrier(esk11_0)))|~empty(X1)),inference(csr,[status(thm)],[87925,956])).
% cnf(87932,negated_conjecture,(in(esk13_1(empty_set),powerset(the_carrier(esk11_0)))|~empty(empty_set)),inference(spm,[status(thm)],[87926,698,theory(equality)])).
% cnf(87937,negated_conjecture,(in(esk13_1(empty_set),powerset(the_carrier(esk11_0)))|$false),inference(rw,[status(thm)],[87932,122,theory(equality)])).
% cnf(87938,negated_conjecture,(in(esk13_1(empty_set),powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[87937,theory(equality)])).
% cnf(87962,negated_conjecture,(in(esk13_1(empty_set),esk2_2(esk11_0,X1))|~closed_subset(esk13_1(empty_set),esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~subset(X1,esk13_1(empty_set))),inference(spm,[status(thm)],[233,87938,theory(equality)])).
% cnf(87964,negated_conjecture,(in(esk13_1(empty_set),esk2_2(esk11_0,X1))|$false|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~subset(X1,esk13_1(empty_set))),inference(rw,[status(thm)],[87962,960,theory(equality)])).
% cnf(87965,negated_conjecture,(in(esk13_1(empty_set),esk2_2(esk11_0,X1))|$false|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)|~subset(X1,esk13_1(empty_set))),inference(rw,[status(thm)],[87964,223,theory(equality)])).
% cnf(87966,negated_conjecture,(in(esk13_1(empty_set),esk2_2(esk11_0,X1))|$false|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false|~subset(X1,esk13_1(empty_set))),inference(rw,[status(thm)],[87965,224,theory(equality)])).
% cnf(87967,negated_conjecture,(in(esk13_1(empty_set),esk2_2(esk11_0,X1))|~element(X1,powerset(the_carrier(esk11_0)))|~subset(X1,esk13_1(empty_set))),inference(cn,[status(thm)],[87966,theory(equality)])).
% cnf(87976,negated_conjecture,(~empty(esk2_2(esk11_0,X1))|~element(X1,powerset(the_carrier(esk11_0)))|~subset(X1,esk13_1(empty_set))),inference(spm,[status(thm)],[104,87967,theory(equality)])).
% cnf(88481,negated_conjecture,(~empty(esk2_2(esk11_0,esk12_0))|~subset(esk12_0,esk13_1(empty_set))),inference(spm,[status(thm)],[87976,222,theory(equality)])).
% cnf(88531,negated_conjecture,(~empty(esk2_2(esk11_0,esk12_0))|$false),inference(rw,[status(thm)],[88481,7899,theory(equality)])).
% cnf(88532,negated_conjecture,(~empty(esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[88531,theory(equality)])).
% cnf(168011,negated_conjecture,(element(X1,powerset(powerset(the_carrier(esk11_0))))|~element(esk5_2(X1,powerset(the_carrier(esk11_0))),esk2_2(esk11_0,esk12_0))),inference(sr,[status(thm)],[8168,88532,theory(equality)])).
% cnf(168013,negated_conjecture,(element(esk2_2(esk11_0,esk12_0),powerset(powerset(the_carrier(esk11_0))))),inference(spm,[status(thm)],[168011,317,theory(equality)])).
% cnf(168046,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[228,168013,theory(equality)])).
% cnf(168048,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[227,168013,theory(equality)])).
% cnf(168049,negated_conjecture,(element(esk14_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[229,168013,theory(equality)])).
% cnf(168165,negated_conjecture,(in(X1,powerset(the_carrier(esk11_0)))|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~subset(esk13_1(esk2_2(esk11_0,esk12_0)),X1)),inference(spm,[status(thm)],[87674,168013,theory(equality)])).
% cnf(169910,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|element(esk14_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|~element(esk12_0,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[67,168049,theory(equality)])).
% cnf(169947,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|element(esk14_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|$false|~top_str(esk11_0)|~topological_space(esk11_0)),inference(rw,[status(thm)],[169910,222,theory(equality)])).
% cnf(169948,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|element(esk14_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|$false|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[169947,223,theory(equality)])).
% cnf(169949,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|element(esk14_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|$false|$false|$false),inference(rw,[status(thm)],[169948,224,theory(equality)])).
% cnf(169950,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|element(esk14_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[169949,theory(equality)])).
% cnf(170076,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|element(esk14_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(spm,[status(thm)],[231,169950,theory(equality)])).
% cnf(170823,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|~element(esk12_0,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[67,168046,theory(equality)])).
% cnf(170824,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|~element(esk12_0,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)),inference(spm,[status(thm)],[65,168046,theory(equality)])).
% cnf(170860,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|~top_str(esk11_0)|~topological_space(esk11_0)),inference(rw,[status(thm)],[170823,222,theory(equality)])).
% cnf(170861,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[170860,223,theory(equality)])).
% cnf(170862,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|$false|$false),inference(rw,[status(thm)],[170861,224,theory(equality)])).
% cnf(170863,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[170862,theory(equality)])).
% cnf(170864,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|~top_str(esk11_0)|~topological_space(esk11_0)),inference(rw,[status(thm)],[170824,222,theory(equality)])).
% cnf(170865,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|$false|~topological_space(esk11_0)),inference(rw,[status(thm)],[170864,223,theory(equality)])).
% cnf(170866,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|$false|$false),inference(rw,[status(thm)],[170865,224,theory(equality)])).
% cnf(170867,negated_conjecture,(esk3_3(esk11_0,esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))=esk13_1(esk2_2(esk11_0,esk12_0))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[170866,theory(equality)])).
% cnf(170989,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[231,170863,theory(equality)])).
% cnf(171798,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|~element(esk12_0,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(spm,[status(thm)],[64,170867,theory(equality)])).
% cnf(171849,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|~top_str(esk11_0)|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[171798,222,theory(equality)])).
% cnf(171850,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|$false|~topological_space(esk11_0)|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[171849,223,theory(equality)])).
% cnf(171851,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|$false|$false|$false|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(rw,[status(thm)],[171850,224,theory(equality)])).
% cnf(171852,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|~in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,esk12_0))),inference(cn,[status(thm)],[171851,theory(equality)])).
% cnf(172234,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|~closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(spm,[status(thm)],[168165,48,theory(equality)])).
% cnf(315122,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~element(esk12_0,powerset(the_carrier(esk11_0)))|~subset(esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(spm,[status(thm)],[9402,168046,theory(equality)])).
% cnf(315123,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~element(esk12_0,powerset(the_carrier(esk11_0)))|~subset(esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(spm,[status(thm)],[9402,168048,theory(equality)])).
% cnf(315140,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|~subset(esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(rw,[status(thm)],[315122,222,theory(equality)])).
% cnf(315141,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false),inference(rw,[status(thm)],[315140,61408,theory(equality)])).
% cnf(315142,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[315141,theory(equality)])).
% cnf(315143,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|~subset(esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(rw,[status(thm)],[315123,222,theory(equality)])).
% cnf(315144,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false),inference(rw,[status(thm)],[315143,61408,theory(equality)])).
% cnf(315145,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[315144,theory(equality)])).
% cnf(315281,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|~closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(spm,[status(thm)],[315142,170989,theory(equality)])).
% cnf(321196,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(spm,[status(thm)],[315145,83299,theory(equality)])).
% cnf(321415,negated_conjecture,(closed_subset(esk14_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(csr,[status(thm)],[321196,66786])).
% cnf(797016,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))|closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(csr,[status(thm)],[171852,168046])).
% cnf(797017,negated_conjecture,(esk14_1(esk2_2(esk11_0,esk12_0))=esk13_1(esk2_2(esk11_0,esk12_0))),inference(csr,[status(thm)],[797016,315281])).
% cnf(797940,negated_conjecture,(closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(rw,[status(thm)],[321415,797017,theory(equality)])).
% cnf(798282,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(rw,[status(thm)],[170076,797017,theory(equality)])).
% cnf(798283,negated_conjecture,(element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[798282,theory(equality)])).
% cnf(798575,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|$false|~element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(rw,[status(thm)],[172234,797940,theory(equality)])).
% cnf(798576,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|~element(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[798575,theory(equality)])).
% cnf(801837,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))|$false),inference(rw,[status(thm)],[798576,798283,theory(equality)])).
% cnf(801838,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[801837,theory(equality)])).
% cnf(801843,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,X1))|~closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~subset(X1,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(spm,[status(thm)],[233,801838,theory(equality)])).
% cnf(801845,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,X1))|$false|~element(X1,powerset(the_carrier(esk11_0)))|~top_str(esk11_0)|~topological_space(esk11_0)|~subset(X1,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(rw,[status(thm)],[801843,797940,theory(equality)])).
% cnf(801846,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,X1))|$false|~element(X1,powerset(the_carrier(esk11_0)))|$false|~topological_space(esk11_0)|~subset(X1,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(rw,[status(thm)],[801845,223,theory(equality)])).
% cnf(801847,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,X1))|$false|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false|~subset(X1,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(rw,[status(thm)],[801846,224,theory(equality)])).
% cnf(801848,negated_conjecture,(in(esk13_1(esk2_2(esk11_0,esk12_0)),esk2_2(esk11_0,X1))|~element(X1,powerset(the_carrier(esk11_0)))|~subset(X1,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(cn,[status(thm)],[801847,theory(equality)])).
% cnf(803602,negated_conjecture,(esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|~element(esk12_0,powerset(the_carrier(esk11_0)))|~subset(esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(spm,[status(thm)],[9402,801848,theory(equality)])).
% cnf(804207,negated_conjecture,(esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|~subset(esk12_0,esk13_1(esk2_2(esk11_0,esk12_0)))),inference(rw,[status(thm)],[803602,222,theory(equality)])).
% cnf(804208,negated_conjecture,(esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))|$false|$false),inference(rw,[status(thm)],[804207,61408,theory(equality)])).
% cnf(804209,negated_conjecture,(esk13_1(esk2_2(esk11_0,esk12_0))!=X1|~closed_subset(X1,esk11_0)|~element(X1,powerset(the_carrier(esk11_0)))),inference(cn,[status(thm)],[804208,theory(equality)])).
% cnf(807249,negated_conjecture,(~closed_subset(esk13_1(esk2_2(esk11_0,esk12_0)),esk11_0)),inference(spm,[status(thm)],[804209,798283,theory(equality)])).
% cnf(807514,negated_conjecture,($false),inference(rw,[status(thm)],[807249,797940,theory(equality)])).
% cnf(807515,negated_conjecture,($false),inference(cn,[status(thm)],[807514,theory(equality)])).
% cnf(807516,negated_conjecture,($false),807515,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 44281
% # ...of these trivial : 128
% # ...subsumed : 31024
% # ...remaining for further processing: 13129
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 657
% # Backward-rewritten : 1120
% # Generated clauses : 506863
% # ...of the previous two non-trivial : 485852
% # Contextual simplify-reflections : 42750
% # Paramodulations : 506842
% # Factorizations : 0
% # Equation resolutions : 15
% # Current number of processed clauses: 11262
% # Positive orientable unit clauses: 67
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 23
% # Non-unit-clauses : 11172
% # Current number of unprocessed clauses: 320118
% # ...number of literals in the above : 2031018
% # Clause-clause subsumption calls (NU) : 1041588
% # Rec. Clause-clause subsumption calls : 635920
% # Unit Clause-clause subsumption calls : 1553
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 156
% # Indexed BW rewrite successes : 25
% # Backwards rewriting index: 1254 leaves, 2.03+/-2.857 terms/leaf
% # Paramod-from index: 545 leaves, 2.22+/-3.482 terms/leaf
% # Paramod-into index: 908 leaves, 1.91+/-2.804 terms/leaf
% # -------------------------------------------------
% # User time : 32.233 s
% # System time : 0.767 s
% # Total time : 33.000 s
% # Maximum resident set size: 0 pages
% PrfWatch: 43.53 CPU 45.09 WC
% FINAL PrfWatch: 43.53 CPU 45.09 WC
% SZS output end Solution for /tmp/SystemOnTPTP25342/SEU315+1.tptp
%
%------------------------------------------------------------------------------