TSTP Solution File: SEU318+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU318+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 : art06.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 03:30:02 EST 2010
% Result : Theorem 32.01s
% Output : Solution 32.01s
% 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/SystemOnTPTP21653/SEU318+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP21653/SEU318+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP21653/SEU318+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 21749
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.57 CPU 2.02 WC
% PrfWatch: 3.21 CPU 4.02 WC
% PrfWatch: 5.20 CPU 6.03 WC
% PrfWatch: 7.19 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: 15.16 CPU 16.05 WC
% PrfWatch: 17.15 CPU 18.06 WC
% PrfWatch: 19.13 CPU 20.06 WC
% PrfWatch: 21.13 CPU 22.06 WC
% PrfWatch: 23.11 CPU 24.07 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 25.09 CPU 26.07 WC
% PrfWatch: 27.09 CPU 28.08 WC
% PrfWatch: 29.08 CPU 30.08 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((top_str(X1)&element(X2,powerset(the_carrier(X1))))=>element(topstr_closure(X1,X2),powerset(the_carrier(X1)))),file('/tmp/SRASS.s.p', dt_k6_pre_topc)).
% fof(5, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>subset(X2,topstr_closure(X1,X2)))),file('/tmp/SRASS.s.p', t48_pre_topc)).
% fof(6, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>![X3]:(in(X3,the_carrier(X1))=>(in(X3,topstr_closure(X1,X2))<=>![X4]:(element(X4,powerset(the_carrier(X1)))=>((closed_subset(X4,X1)&subset(X2,X4))=>in(X3,X4))))))),file('/tmp/SRASS.s.p', t45_pre_topc)).
% fof(7, axiom,![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(![X3]:(element(X3,powerset(the_carrier(X1)))=>(in(X3,X2)=>closed_subset(X3,X1)))=>closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)))),file('/tmp/SRASS.s.p', t44_pre_topc)).
% fof(8, axiom,![X1]:((topological_space(X1)&top_str(X1))=>![X2]:(element(X2,powerset(the_carrier(X1)))=>?[X3]:((element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>(closed_subset(X4,X1)&subset(X2,X4)))))&topstr_closure(X1,X2)=meet_of_subsets(the_carrier(X1),X3)))),file('/tmp/SRASS.s.p', t46_pre_topc)).
% fof(13, axiom,![X1]:![X2]:(element(X1,powerset(X2))<=>subset(X1,X2)),file('/tmp/SRASS.s.p', t3_subset)).
% fof(16, axiom,![X1]:![X2]:(X1=X2<=>(subset(X1,X2)&subset(X2,X1))),file('/tmp/SRASS.s.p', d10_xboole_0)).
% fof(19, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(21, axiom,![X1]:![X2]:subset(X1,X1),file('/tmp/SRASS.s.p', reflexivity_r1_tarski)).
% fof(51, conjecture,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>((closed_subset(X2,X1)=>topstr_closure(X1,X2)=X2)&((topological_space(X1)&topstr_closure(X1,X2)=X2)=>closed_subset(X2,X1))))),file('/tmp/SRASS.s.p', t52_pre_topc)).
% fof(52, negated_conjecture,~(![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>((closed_subset(X2,X1)=>topstr_closure(X1,X2)=X2)&((topological_space(X1)&topstr_closure(X1,X2)=X2)=>closed_subset(X2,X1)))))),inference(assume_negation,[status(cth)],[51])).
% fof(57, plain,![X1]:![X2]:((~(top_str(X1))|~(element(X2,powerset(the_carrier(X1)))))|element(topstr_closure(X1,X2),powerset(the_carrier(X1)))),inference(fof_nnf,[status(thm)],[1])).
% fof(58, plain,![X3]:![X4]:((~(top_str(X3))|~(element(X4,powerset(the_carrier(X3)))))|element(topstr_closure(X3,X4),powerset(the_carrier(X3)))),inference(variable_rename,[status(thm)],[57])).
% cnf(59,plain,(element(topstr_closure(X1,X2),powerset(the_carrier(X1)))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)),inference(split_conjunct,[status(thm)],[58])).
% fof(72, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|subset(X2,topstr_closure(X1,X2)))),inference(fof_nnf,[status(thm)],[5])).
% fof(73, plain,![X3]:(~(top_str(X3))|![X4]:(~(element(X4,powerset(the_carrier(X3))))|subset(X4,topstr_closure(X3,X4)))),inference(variable_rename,[status(thm)],[72])).
% fof(74, plain,![X3]:![X4]:((~(element(X4,powerset(the_carrier(X3))))|subset(X4,topstr_closure(X3,X4)))|~(top_str(X3))),inference(shift_quantors,[status(thm)],[73])).
% cnf(75,plain,(subset(X2,topstr_closure(X1,X2))|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))),inference(split_conjunct,[status(thm)],[74])).
% fof(76, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|![X3]:(~(in(X3,the_carrier(X1)))|((~(in(X3,topstr_closure(X1,X2)))|![X4]:(~(element(X4,powerset(the_carrier(X1))))|((~(closed_subset(X4,X1))|~(subset(X2,X4)))|in(X3,X4))))&(?[X4]:(element(X4,powerset(the_carrier(X1)))&((closed_subset(X4,X1)&subset(X2,X4))&~(in(X3,X4))))|in(X3,topstr_closure(X1,X2))))))),inference(fof_nnf,[status(thm)],[6])).
% fof(77, plain,![X5]:(~(top_str(X5))|![X6]:(~(element(X6,powerset(the_carrier(X5))))|![X7]:(~(in(X7,the_carrier(X5)))|((~(in(X7,topstr_closure(X5,X6)))|![X8]:(~(element(X8,powerset(the_carrier(X5))))|((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X7,X8))))&(?[X9]:(element(X9,powerset(the_carrier(X5)))&((closed_subset(X9,X5)&subset(X6,X9))&~(in(X7,X9))))|in(X7,topstr_closure(X5,X6))))))),inference(variable_rename,[status(thm)],[76])).
% fof(78, plain,![X5]:(~(top_str(X5))|![X6]:(~(element(X6,powerset(the_carrier(X5))))|![X7]:(~(in(X7,the_carrier(X5)))|((~(in(X7,topstr_closure(X5,X6)))|![X8]:(~(element(X8,powerset(the_carrier(X5))))|((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X7,X8))))&((element(esk4_3(X5,X6,X7),powerset(the_carrier(X5)))&((closed_subset(esk4_3(X5,X6,X7),X5)&subset(X6,esk4_3(X5,X6,X7)))&~(in(X7,esk4_3(X5,X6,X7)))))|in(X7,topstr_closure(X5,X6))))))),inference(skolemize,[status(esa)],[77])).
% fof(79, plain,![X5]:![X6]:![X7]:![X8]:((((((~(element(X8,powerset(the_carrier(X5))))|((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X7,X8)))|~(in(X7,topstr_closure(X5,X6))))&((element(esk4_3(X5,X6,X7),powerset(the_carrier(X5)))&((closed_subset(esk4_3(X5,X6,X7),X5)&subset(X6,esk4_3(X5,X6,X7)))&~(in(X7,esk4_3(X5,X6,X7)))))|in(X7,topstr_closure(X5,X6))))|~(in(X7,the_carrier(X5))))|~(element(X6,powerset(the_carrier(X5)))))|~(top_str(X5))),inference(shift_quantors,[status(thm)],[78])).
% fof(80, plain,![X5]:![X6]:![X7]:![X8]:((((((~(element(X8,powerset(the_carrier(X5))))|((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X7,X8)))|~(in(X7,topstr_closure(X5,X6))))|~(in(X7,the_carrier(X5))))|~(element(X6,powerset(the_carrier(X5)))))|~(top_str(X5)))&(((((element(esk4_3(X5,X6,X7),powerset(the_carrier(X5)))|in(X7,topstr_closure(X5,X6)))|~(in(X7,the_carrier(X5))))|~(element(X6,powerset(the_carrier(X5)))))|~(top_str(X5)))&((((((closed_subset(esk4_3(X5,X6,X7),X5)|in(X7,topstr_closure(X5,X6)))|~(in(X7,the_carrier(X5))))|~(element(X6,powerset(the_carrier(X5)))))|~(top_str(X5)))&((((subset(X6,esk4_3(X5,X6,X7))|in(X7,topstr_closure(X5,X6)))|~(in(X7,the_carrier(X5))))|~(element(X6,powerset(the_carrier(X5)))))|~(top_str(X5))))&((((~(in(X7,esk4_3(X5,X6,X7)))|in(X7,topstr_closure(X5,X6)))|~(in(X7,the_carrier(X5))))|~(element(X6,powerset(the_carrier(X5)))))|~(top_str(X5)))))),inference(distribute,[status(thm)],[79])).
% cnf(85,plain,(in(X3,X4)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~in(X3,the_carrier(X1))|~in(X3,topstr_closure(X1,X2))|~subset(X2,X4)|~closed_subset(X4,X1)|~element(X4,powerset(the_carrier(X1)))),inference(split_conjunct,[status(thm)],[80])).
% fof(86, plain,![X1]:((~(topological_space(X1))|~(top_str(X1)))|![X2]:(~(element(X2,powerset(powerset(the_carrier(X1)))))|(?[X3]:(element(X3,powerset(the_carrier(X1)))&(in(X3,X2)&~(closed_subset(X3,X1))))|closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)))),inference(fof_nnf,[status(thm)],[7])).
% fof(87, plain,![X4]:((~(topological_space(X4))|~(top_str(X4)))|![X5]:(~(element(X5,powerset(powerset(the_carrier(X4)))))|(?[X6]:(element(X6,powerset(the_carrier(X4)))&(in(X6,X5)&~(closed_subset(X6,X4))))|closed_subset(meet_of_subsets(the_carrier(X4),X5),X4)))),inference(variable_rename,[status(thm)],[86])).
% fof(88, plain,![X4]:((~(topological_space(X4))|~(top_str(X4)))|![X5]:(~(element(X5,powerset(powerset(the_carrier(X4)))))|((element(esk5_2(X4,X5),powerset(the_carrier(X4)))&(in(esk5_2(X4,X5),X5)&~(closed_subset(esk5_2(X4,X5),X4))))|closed_subset(meet_of_subsets(the_carrier(X4),X5),X4)))),inference(skolemize,[status(esa)],[87])).
% fof(89, plain,![X4]:![X5]:((~(element(X5,powerset(powerset(the_carrier(X4)))))|((element(esk5_2(X4,X5),powerset(the_carrier(X4)))&(in(esk5_2(X4,X5),X5)&~(closed_subset(esk5_2(X4,X5),X4))))|closed_subset(meet_of_subsets(the_carrier(X4),X5),X4)))|(~(topological_space(X4))|~(top_str(X4)))),inference(shift_quantors,[status(thm)],[88])).
% fof(90, plain,![X4]:![X5]:((((element(esk5_2(X4,X5),powerset(the_carrier(X4)))|closed_subset(meet_of_subsets(the_carrier(X4),X5),X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|(~(topological_space(X4))|~(top_str(X4))))&((((in(esk5_2(X4,X5),X5)|closed_subset(meet_of_subsets(the_carrier(X4),X5),X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|(~(topological_space(X4))|~(top_str(X4))))&(((~(closed_subset(esk5_2(X4,X5),X4))|closed_subset(meet_of_subsets(the_carrier(X4),X5),X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|(~(topological_space(X4))|~(top_str(X4)))))),inference(distribute,[status(thm)],[89])).
% cnf(91,plain,(closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~top_str(X1)|~topological_space(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~closed_subset(esk5_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[90])).
% cnf(92,plain,(closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|in(esk5_2(X1,X2),X2)|~top_str(X1)|~topological_space(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(split_conjunct,[status(thm)],[90])).
% cnf(93,plain,(closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|element(esk5_2(X1,X2),powerset(the_carrier(X1)))|~top_str(X1)|~topological_space(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(split_conjunct,[status(thm)],[90])).
% fof(94, plain,![X1]:((~(topological_space(X1))|~(top_str(X1)))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|?[X3]:((element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(~(element(X4,powerset(the_carrier(X1))))|((~(in(X4,X3))|(closed_subset(X4,X1)&subset(X2,X4)))&((~(closed_subset(X4,X1))|~(subset(X2,X4)))|in(X4,X3)))))&topstr_closure(X1,X2)=meet_of_subsets(the_carrier(X1),X3)))),inference(fof_nnf,[status(thm)],[8])).
% fof(95, plain,![X5]:((~(topological_space(X5))|~(top_str(X5)))|![X6]:(~(element(X6,powerset(the_carrier(X5))))|?[X7]:((element(X7,powerset(powerset(the_carrier(X5))))&![X8]:(~(element(X8,powerset(the_carrier(X5))))|((~(in(X8,X7))|(closed_subset(X8,X5)&subset(X6,X8)))&((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X8,X7)))))&topstr_closure(X5,X6)=meet_of_subsets(the_carrier(X5),X7)))),inference(variable_rename,[status(thm)],[94])).
% fof(96, plain,![X5]:((~(topological_space(X5))|~(top_str(X5)))|![X6]:(~(element(X6,powerset(the_carrier(X5))))|((element(esk6_2(X5,X6),powerset(powerset(the_carrier(X5))))&![X8]:(~(element(X8,powerset(the_carrier(X5))))|((~(in(X8,esk6_2(X5,X6)))|(closed_subset(X8,X5)&subset(X6,X8)))&((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X8,esk6_2(X5,X6))))))&topstr_closure(X5,X6)=meet_of_subsets(the_carrier(X5),esk6_2(X5,X6))))),inference(skolemize,[status(esa)],[95])).
% fof(97, plain,![X5]:![X6]:![X8]:(((((~(element(X8,powerset(the_carrier(X5))))|((~(in(X8,esk6_2(X5,X6)))|(closed_subset(X8,X5)&subset(X6,X8)))&((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X8,esk6_2(X5,X6)))))&element(esk6_2(X5,X6),powerset(powerset(the_carrier(X5)))))&topstr_closure(X5,X6)=meet_of_subsets(the_carrier(X5),esk6_2(X5,X6)))|~(element(X6,powerset(the_carrier(X5)))))|(~(topological_space(X5))|~(top_str(X5)))),inference(shift_quantors,[status(thm)],[96])).
% fof(98, plain,![X5]:![X6]:![X8]:((((((((closed_subset(X8,X5)|~(in(X8,esk6_2(X5,X6))))|~(element(X8,powerset(the_carrier(X5)))))|~(element(X6,powerset(the_carrier(X5)))))|(~(topological_space(X5))|~(top_str(X5))))&((((subset(X6,X8)|~(in(X8,esk6_2(X5,X6))))|~(element(X8,powerset(the_carrier(X5)))))|~(element(X6,powerset(the_carrier(X5)))))|(~(topological_space(X5))|~(top_str(X5)))))&(((((~(closed_subset(X8,X5))|~(subset(X6,X8)))|in(X8,esk6_2(X5,X6)))|~(element(X8,powerset(the_carrier(X5)))))|~(element(X6,powerset(the_carrier(X5)))))|(~(topological_space(X5))|~(top_str(X5)))))&((element(esk6_2(X5,X6),powerset(powerset(the_carrier(X5))))|~(element(X6,powerset(the_carrier(X5)))))|(~(topological_space(X5))|~(top_str(X5)))))&((topstr_closure(X5,X6)=meet_of_subsets(the_carrier(X5),esk6_2(X5,X6))|~(element(X6,powerset(the_carrier(X5)))))|(~(topological_space(X5))|~(top_str(X5))))),inference(distribute,[status(thm)],[97])).
% cnf(99,plain,(topstr_closure(X1,X2)=meet_of_subsets(the_carrier(X1),esk6_2(X1,X2))|~top_str(X1)|~topological_space(X1)|~element(X2,powerset(the_carrier(X1)))),inference(split_conjunct,[status(thm)],[98])).
% cnf(100,plain,(element(esk6_2(X1,X2),powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1)|~element(X2,powerset(the_carrier(X1)))),inference(split_conjunct,[status(thm)],[98])).
% cnf(103,plain,(closed_subset(X3,X1)|~top_str(X1)|~topological_space(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(the_carrier(X1)))|~in(X3,esk6_2(X1,X2))),inference(split_conjunct,[status(thm)],[98])).
% fof(121, plain,![X1]:![X2]:((~(element(X1,powerset(X2)))|subset(X1,X2))&(~(subset(X1,X2))|element(X1,powerset(X2)))),inference(fof_nnf,[status(thm)],[13])).
% fof(122, plain,![X3]:![X4]:((~(element(X3,powerset(X4)))|subset(X3,X4))&(~(subset(X3,X4))|element(X3,powerset(X4)))),inference(variable_rename,[status(thm)],[121])).
% cnf(124,plain,(subset(X1,X2)|~element(X1,powerset(X2))),inference(split_conjunct,[status(thm)],[122])).
% fof(131, plain,![X1]:![X2]:((~(X1=X2)|(subset(X1,X2)&subset(X2,X1)))&((~(subset(X1,X2))|~(subset(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[16])).
% fof(132, plain,![X3]:![X4]:((~(X3=X4)|(subset(X3,X4)&subset(X4,X3)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[131])).
% fof(133, plain,![X3]:![X4]:(((subset(X3,X4)|~(X3=X4))&(subset(X4,X3)|~(X3=X4)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(distribute,[status(thm)],[132])).
% cnf(134,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[133])).
% fof(143, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(in(X3,X1))|in(X3,X2)))&(?[X3]:(in(X3,X1)&~(in(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[19])).
% fof(144, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&(?[X7]:(in(X7,X4)&~(in(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[143])).
% fof(145, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk9_2(X4,X5),X4)&~(in(esk9_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[144])).
% fof(146, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk9_2(X4,X5),X4)&~(in(esk9_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[145])).
% fof(147, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk9_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk9_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[146])).
% cnf(148,plain,(subset(X1,X2)|~in(esk9_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[147])).
% cnf(149,plain,(subset(X1,X2)|in(esk9_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[147])).
% cnf(150,plain,(in(X3,X2)|~subset(X1,X2)|~in(X3,X1)),inference(split_conjunct,[status(thm)],[147])).
% fof(154, plain,![X3]:![X4]:subset(X3,X3),inference(variable_rename,[status(thm)],[21])).
% cnf(155,plain,(subset(X1,X1)),inference(split_conjunct,[status(thm)],[154])).
% fof(280, negated_conjecture,?[X1]:(top_str(X1)&?[X2]:(element(X2,powerset(the_carrier(X1)))&((closed_subset(X2,X1)&~(topstr_closure(X1,X2)=X2))|((topological_space(X1)&topstr_closure(X1,X2)=X2)&~(closed_subset(X2,X1)))))),inference(fof_nnf,[status(thm)],[52])).
% fof(281, negated_conjecture,?[X3]:(top_str(X3)&?[X4]:(element(X4,powerset(the_carrier(X3)))&((closed_subset(X4,X3)&~(topstr_closure(X3,X4)=X4))|((topological_space(X3)&topstr_closure(X3,X4)=X4)&~(closed_subset(X4,X3)))))),inference(variable_rename,[status(thm)],[280])).
% fof(282, negated_conjecture,(top_str(esk12_0)&(element(esk13_0,powerset(the_carrier(esk12_0)))&((closed_subset(esk13_0,esk12_0)&~(topstr_closure(esk12_0,esk13_0)=esk13_0))|((topological_space(esk12_0)&topstr_closure(esk12_0,esk13_0)=esk13_0)&~(closed_subset(esk13_0,esk12_0)))))),inference(skolemize,[status(esa)],[281])).
% fof(283, negated_conjecture,(top_str(esk12_0)&(element(esk13_0,powerset(the_carrier(esk12_0)))&((((topological_space(esk12_0)|closed_subset(esk13_0,esk12_0))&(topstr_closure(esk12_0,esk13_0)=esk13_0|closed_subset(esk13_0,esk12_0)))&(~(closed_subset(esk13_0,esk12_0))|closed_subset(esk13_0,esk12_0)))&(((topological_space(esk12_0)|~(topstr_closure(esk12_0,esk13_0)=esk13_0))&(topstr_closure(esk12_0,esk13_0)=esk13_0|~(topstr_closure(esk12_0,esk13_0)=esk13_0)))&(~(closed_subset(esk13_0,esk12_0))|~(topstr_closure(esk12_0,esk13_0)=esk13_0)))))),inference(distribute,[status(thm)],[282])).
% cnf(284,negated_conjecture,(topstr_closure(esk12_0,esk13_0)!=esk13_0|~closed_subset(esk13_0,esk12_0)),inference(split_conjunct,[status(thm)],[283])).
% cnf(288,negated_conjecture,(closed_subset(esk13_0,esk12_0)|topstr_closure(esk12_0,esk13_0)=esk13_0),inference(split_conjunct,[status(thm)],[283])).
% cnf(289,negated_conjecture,(closed_subset(esk13_0,esk12_0)|topological_space(esk12_0)),inference(split_conjunct,[status(thm)],[283])).
% cnf(290,negated_conjecture,(element(esk13_0,powerset(the_carrier(esk12_0)))),inference(split_conjunct,[status(thm)],[283])).
% cnf(291,negated_conjecture,(top_str(esk12_0)),inference(split_conjunct,[status(thm)],[283])).
% cnf(611,plain,(subset(topstr_closure(X1,X2),the_carrier(X1))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)),inference(spm,[status(thm)],[124,59,theory(equality)])).
% cnf(628,negated_conjecture,(subset(esk13_0,topstr_closure(esk12_0,esk13_0))|~top_str(esk12_0)),inference(spm,[status(thm)],[75,290,theory(equality)])).
% cnf(637,negated_conjecture,(subset(esk13_0,topstr_closure(esk12_0,esk13_0))|$false),inference(rw,[status(thm)],[628,291,theory(equality)])).
% cnf(638,negated_conjecture,(subset(esk13_0,topstr_closure(esk12_0,esk13_0))),inference(cn,[status(thm)],[637,theory(equality)])).
% cnf(728,plain,(closed_subset(esk5_2(X1,X2),X1)|closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~in(esk5_2(X1,X2),esk6_2(X1,X3))|~topological_space(X1)|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[103,93,theory(equality)])).
% cnf(776,plain,(in(esk5_2(X1,esk6_2(X1,X2)),esk6_2(X1,X2))|closed_subset(meet_of_subsets(the_carrier(X1),esk6_2(X1,X2)),X1)|~topological_space(X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))),inference(spm,[status(thm)],[92,100,theory(equality)])).
% cnf(810,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,X2))|~in(X1,the_carrier(esk12_0))|~subset(X2,esk13_0)|~closed_subset(esk13_0,esk12_0)|~element(X2,powerset(the_carrier(esk12_0)))|~top_str(esk12_0)),inference(spm,[status(thm)],[85,290,theory(equality)])).
% cnf(821,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,X2))|~in(X1,the_carrier(esk12_0))|~subset(X2,esk13_0)|~closed_subset(esk13_0,esk12_0)|~element(X2,powerset(the_carrier(esk12_0)))|$false),inference(rw,[status(thm)],[810,291,theory(equality)])).
% cnf(822,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,X2))|~in(X1,the_carrier(esk12_0))|~subset(X2,esk13_0)|~closed_subset(esk13_0,esk12_0)|~element(X2,powerset(the_carrier(esk12_0)))),inference(cn,[status(thm)],[821,theory(equality)])).
% cnf(889,negated_conjecture,(topstr_closure(esk12_0,esk13_0)=esk13_0|~subset(topstr_closure(esk12_0,esk13_0),esk13_0)),inference(spm,[status(thm)],[134,638,theory(equality)])).
% cnf(5243,plain,(in(X1,the_carrier(X2))|~in(X1,topstr_closure(X2,X3))|~element(X3,powerset(the_carrier(X2)))|~top_str(X2)),inference(spm,[status(thm)],[150,611,theory(equality)])).
% cnf(10328,plain,(closed_subset(meet_of_subsets(the_carrier(X1),X2),X1)|~in(esk5_2(X1,X2),esk6_2(X1,X3))|~topological_space(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~element(X3,powerset(the_carrier(X1)))|~top_str(X1)),inference(csr,[status(thm)],[728,91])).
% cnf(14181,plain,(closed_subset(meet_of_subsets(the_carrier(X1),esk6_2(X1,X2)),X1)|~topological_space(X1)|~element(esk6_2(X1,X2),powerset(powerset(the_carrier(X1))))|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)),inference(spm,[status(thm)],[10328,776,theory(equality)])).
% cnf(15802,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,esk13_0))|~in(X1,the_carrier(esk12_0))|~subset(esk13_0,esk13_0)|~closed_subset(esk13_0,esk12_0)),inference(spm,[status(thm)],[822,290,theory(equality)])).
% cnf(15830,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,esk13_0))|~in(X1,the_carrier(esk12_0))|$false|~closed_subset(esk13_0,esk12_0)),inference(rw,[status(thm)],[15802,155,theory(equality)])).
% cnf(15831,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,esk13_0))|~in(X1,the_carrier(esk12_0))|~closed_subset(esk13_0,esk12_0)),inference(cn,[status(thm)],[15830,theory(equality)])).
% cnf(120531,negated_conjecture,(in(X1,the_carrier(esk12_0))|~in(X1,topstr_closure(esk12_0,esk13_0))|~top_str(esk12_0)),inference(spm,[status(thm)],[5243,290,theory(equality)])).
% cnf(120583,negated_conjecture,(in(X1,the_carrier(esk12_0))|~in(X1,topstr_closure(esk12_0,esk13_0))|$false),inference(rw,[status(thm)],[120531,291,theory(equality)])).
% cnf(120584,negated_conjecture,(in(X1,the_carrier(esk12_0))|~in(X1,topstr_closure(esk12_0,esk13_0))),inference(cn,[status(thm)],[120583,theory(equality)])).
% cnf(533880,plain,(closed_subset(meet_of_subsets(the_carrier(X1),esk6_2(X1,X2)),X1)|~topological_space(X1)|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)),inference(csr,[status(thm)],[14181,100])).
% cnf(533882,plain,(closed_subset(topstr_closure(X1,X2),X1)|~topological_space(X1)|~element(X2,powerset(the_carrier(X1)))|~top_str(X1)),inference(spm,[status(thm)],[533880,99,theory(equality)])).
% cnf(611074,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,esk13_0))|~closed_subset(esk13_0,esk12_0)),inference(csr,[status(thm)],[15831,120584])).
% cnf(685542,negated_conjecture,(closed_subset(topstr_closure(esk12_0,esk13_0),esk12_0)|~topological_space(esk12_0)|~top_str(esk12_0)),inference(spm,[status(thm)],[533882,290,theory(equality)])).
% cnf(685617,negated_conjecture,(closed_subset(topstr_closure(esk12_0,esk13_0),esk12_0)|~topological_space(esk12_0)|$false),inference(rw,[status(thm)],[685542,291,theory(equality)])).
% cnf(685618,negated_conjecture,(closed_subset(topstr_closure(esk12_0,esk13_0),esk12_0)|~topological_space(esk12_0)),inference(cn,[status(thm)],[685617,theory(equality)])).
% cnf(685653,negated_conjecture,(closed_subset(esk13_0,esk12_0)|~topological_space(esk12_0)),inference(spm,[status(thm)],[685618,288,theory(equality)])).
% cnf(685665,negated_conjecture,(closed_subset(esk13_0,esk12_0)),inference(csr,[status(thm)],[685653,289])).
% cnf(685715,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,esk13_0))|$false),inference(rw,[status(thm)],[611074,685665,theory(equality)])).
% cnf(685716,negated_conjecture,(in(X1,esk13_0)|~in(X1,topstr_closure(esk12_0,esk13_0))),inference(cn,[status(thm)],[685715,theory(equality)])).
% cnf(685885,negated_conjecture,(topstr_closure(esk12_0,esk13_0)!=esk13_0|$false),inference(rw,[status(thm)],[284,685665,theory(equality)])).
% cnf(685886,negated_conjecture,(topstr_closure(esk12_0,esk13_0)!=esk13_0),inference(cn,[status(thm)],[685885,theory(equality)])).
% cnf(686945,negated_conjecture,(in(esk9_2(topstr_closure(esk12_0,esk13_0),X1),esk13_0)|subset(topstr_closure(esk12_0,esk13_0),X1)),inference(spm,[status(thm)],[685716,149,theory(equality)])).
% cnf(700027,negated_conjecture,(subset(topstr_closure(esk12_0,esk13_0),esk13_0)),inference(spm,[status(thm)],[148,686945,theory(equality)])).
% cnf(700104,negated_conjecture,(topstr_closure(esk12_0,esk13_0)=esk13_0|$false),inference(rw,[status(thm)],[889,700027,theory(equality)])).
% cnf(700105,negated_conjecture,(topstr_closure(esk12_0,esk13_0)=esk13_0),inference(cn,[status(thm)],[700104,theory(equality)])).
% cnf(700106,negated_conjecture,($false),inference(sr,[status(thm)],[700105,685886,theory(equality)])).
% cnf(700107,negated_conjecture,($false),700106,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 61891
% # ...of these trivial : 79
% # ...subsumed : 53265
% # ...remaining for further processing: 8547
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 509
% # Backward-rewritten : 1770
% # Generated clauses : 465904
% # ...of the previous two non-trivial : 429805
% # Contextual simplify-reflections : 39845
% # Paramodulations : 465887
% # Factorizations : 0
% # Equation resolutions : 2
% # Current number of processed clauses: 6159
% # Positive orientable unit clauses: 81
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 32
% # Non-unit-clauses : 6046
% # Current number of unprocessed clauses: 163490
% # ...number of literals in the above : 868299
% # Clause-clause subsumption calls (NU) : 2750093
% # Rec. Clause-clause subsumption calls : 1505249
% # Unit Clause-clause subsumption calls : 12639
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 59
% # Indexed BW rewrite successes : 16
% # Backwards rewriting index: 1867 leaves, 1.77+/-1.902 terms/leaf
% # Paramod-from index: 968 leaves, 1.26+/-0.724 terms/leaf
% # Paramod-into index: 1478 leaves, 1.52+/-1.497 terms/leaf
% # -------------------------------------------------
% # User time : 22.567 s
% # System time : 0.629 s
% # Total time : 23.195 s
% # Maximum resident set size: 0 pages
% PrfWatch: 31.05 CPU 32.07 WC
% FINAL PrfWatch: 31.05 CPU 32.07 WC
% SZS output end Solution for /tmp/SystemOnTPTP21653/SEU318+1.tptp
%
%------------------------------------------------------------------------------