TSTP Solution File: SEU336+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU336+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 03:42:46 EST 2010
% Result : Theorem 20.43s
% Output : Solution 20.43s
% 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/SystemOnTPTP19225/SEU336+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP19225/SEU336+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19225/SEU336+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 19321
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.02 WC
% PrfWatch: 3.94 CPU 4.03 WC
% PrfWatch: 5.93 CPU 6.04 WC
% PrfWatch: 7.92 CPU 8.04 WC
% PrfWatch: 9.91 CPU 10.05 WC
% PrfWatch: 11.90 CPU 12.06 WC
% PrfWatch: 13.50 CPU 14.06 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 15.09 CPU 16.07 WC
% PrfWatch: 17.08 CPU 18.08 WC
% PrfWatch: 19.08 CPU 20.08 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(element(X2,powerset(powerset(X1)))=>element(complements_of_subsets(X1,X2),powerset(powerset(X1)))),file('/tmp/SRASS.s.p', dt_k7_setfam_1)).
% fof(4, axiom,![X1]:![X2]:(element(X2,powerset(powerset(X1)))=>complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2),file('/tmp/SRASS.s.p', involutiveness_k7_setfam_1)).
% fof(5, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(open_subsets(X2,X1)<=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(in(X3,X2)=>open_subset(X3,X1)))))),file('/tmp/SRASS.s.p', d1_tops_2)).
% fof(6, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(closed_subsets(X2,X1)<=>![X3]:(element(X3,powerset(the_carrier(X1)))=>(in(X3,X2)=>closed_subset(X3,X1)))))),file('/tmp/SRASS.s.p', d2_tops_2)).
% fof(10, axiom,![X1]:![X2]:![X3]:((in(X1,X2)&element(X2,powerset(X3)))=>element(X1,X3)),file('/tmp/SRASS.s.p', t4_subset)).
% fof(17, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(closed_subset(X2,X1)<=>open_subset(subset_complement(the_carrier(X1),X2),X1)))),file('/tmp/SRASS.s.p', t29_tops_1)).
% fof(18, axiom,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(open_subset(X2,X1)<=>closed_subset(subset_complement(the_carrier(X1),X2),X1)))),file('/tmp/SRASS.s.p', t30_tops_1)).
% fof(20, axiom,![X1]:![X2]:(element(X2,powerset(powerset(X1)))=>![X3]:(element(X3,powerset(powerset(X1)))=>(X3=complements_of_subsets(X1,X2)<=>![X4]:(element(X4,powerset(X1))=>(in(X4,X3)<=>in(subset_complement(X1,X4),X2)))))),file('/tmp/SRASS.s.p', d8_setfam_1)).
% fof(49, conjecture,![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(closed_subsets(X2,X1)<=>open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)))),file('/tmp/SRASS.s.p', t16_tops_2)).
% fof(50, negated_conjecture,~(![X1]:(top_str(X1)=>![X2]:(element(X2,powerset(powerset(the_carrier(X1))))=>(closed_subsets(X2,X1)<=>open_subsets(complements_of_subsets(the_carrier(X1),X2),X1))))),inference(assume_negation,[status(cth)],[49])).
% fof(55, plain,![X1]:![X2]:(~(element(X2,powerset(powerset(X1))))|element(complements_of_subsets(X1,X2),powerset(powerset(X1)))),inference(fof_nnf,[status(thm)],[1])).
% fof(56, plain,![X3]:![X4]:(~(element(X4,powerset(powerset(X3))))|element(complements_of_subsets(X3,X4),powerset(powerset(X3)))),inference(variable_rename,[status(thm)],[55])).
% cnf(57,plain,(element(complements_of_subsets(X1,X2),powerset(powerset(X1)))|~element(X2,powerset(powerset(X1)))),inference(split_conjunct,[status(thm)],[56])).
% fof(64, plain,![X1]:![X2]:(~(element(X2,powerset(powerset(X1))))|complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2),inference(fof_nnf,[status(thm)],[4])).
% fof(65, plain,![X3]:![X4]:(~(element(X4,powerset(powerset(X3))))|complements_of_subsets(X3,complements_of_subsets(X3,X4))=X4),inference(variable_rename,[status(thm)],[64])).
% cnf(66,plain,(complements_of_subsets(X1,complements_of_subsets(X1,X2))=X2|~element(X2,powerset(powerset(X1)))),inference(split_conjunct,[status(thm)],[65])).
% fof(67, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(powerset(the_carrier(X1)))))|((~(open_subsets(X2,X1))|![X3]:(~(element(X3,powerset(the_carrier(X1))))|(~(in(X3,X2))|open_subset(X3,X1))))&(?[X3]:(element(X3,powerset(the_carrier(X1)))&(in(X3,X2)&~(open_subset(X3,X1))))|open_subsets(X2,X1))))),inference(fof_nnf,[status(thm)],[5])).
% fof(68, plain,![X4]:(~(top_str(X4))|![X5]:(~(element(X5,powerset(powerset(the_carrier(X4)))))|((~(open_subsets(X5,X4))|![X6]:(~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|open_subset(X6,X4))))&(?[X7]:(element(X7,powerset(the_carrier(X4)))&(in(X7,X5)&~(open_subset(X7,X4))))|open_subsets(X5,X4))))),inference(variable_rename,[status(thm)],[67])).
% fof(69, plain,![X4]:(~(top_str(X4))|![X5]:(~(element(X5,powerset(powerset(the_carrier(X4)))))|((~(open_subsets(X5,X4))|![X6]:(~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|open_subset(X6,X4))))&((element(esk3_2(X4,X5),powerset(the_carrier(X4)))&(in(esk3_2(X4,X5),X5)&~(open_subset(esk3_2(X4,X5),X4))))|open_subsets(X5,X4))))),inference(skolemize,[status(esa)],[68])).
% fof(70, plain,![X4]:![X5]:![X6]:(((((~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|open_subset(X6,X4)))|~(open_subsets(X5,X4)))&((element(esk3_2(X4,X5),powerset(the_carrier(X4)))&(in(esk3_2(X4,X5),X5)&~(open_subset(esk3_2(X4,X5),X4))))|open_subsets(X5,X4)))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4))),inference(shift_quantors,[status(thm)],[69])).
% fof(71, plain,![X4]:![X5]:![X6]:(((((~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|open_subset(X6,X4)))|~(open_subsets(X5,X4)))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))&((((element(esk3_2(X4,X5),powerset(the_carrier(X4)))|open_subsets(X5,X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))&((((in(esk3_2(X4,X5),X5)|open_subsets(X5,X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))&(((~(open_subset(esk3_2(X4,X5),X4))|open_subsets(X5,X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))))),inference(distribute,[status(thm)],[70])).
% cnf(72,plain,(open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~open_subset(esk3_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[71])).
% cnf(73,plain,(open_subsets(X2,X1)|in(esk3_2(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(split_conjunct,[status(thm)],[71])).
% cnf(75,plain,(open_subset(X3,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~open_subsets(X2,X1)|~in(X3,X2)|~element(X3,powerset(the_carrier(X1)))),inference(split_conjunct,[status(thm)],[71])).
% fof(76, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(powerset(the_carrier(X1)))))|((~(closed_subsets(X2,X1))|![X3]:(~(element(X3,powerset(the_carrier(X1))))|(~(in(X3,X2))|closed_subset(X3,X1))))&(?[X3]:(element(X3,powerset(the_carrier(X1)))&(in(X3,X2)&~(closed_subset(X3,X1))))|closed_subsets(X2,X1))))),inference(fof_nnf,[status(thm)],[6])).
% fof(77, plain,![X4]:(~(top_str(X4))|![X5]:(~(element(X5,powerset(powerset(the_carrier(X4)))))|((~(closed_subsets(X5,X4))|![X6]:(~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|closed_subset(X6,X4))))&(?[X7]:(element(X7,powerset(the_carrier(X4)))&(in(X7,X5)&~(closed_subset(X7,X4))))|closed_subsets(X5,X4))))),inference(variable_rename,[status(thm)],[76])).
% fof(78, plain,![X4]:(~(top_str(X4))|![X5]:(~(element(X5,powerset(powerset(the_carrier(X4)))))|((~(closed_subsets(X5,X4))|![X6]:(~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|closed_subset(X6,X4))))&((element(esk4_2(X4,X5),powerset(the_carrier(X4)))&(in(esk4_2(X4,X5),X5)&~(closed_subset(esk4_2(X4,X5),X4))))|closed_subsets(X5,X4))))),inference(skolemize,[status(esa)],[77])).
% fof(79, plain,![X4]:![X5]:![X6]:(((((~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|closed_subset(X6,X4)))|~(closed_subsets(X5,X4)))&((element(esk4_2(X4,X5),powerset(the_carrier(X4)))&(in(esk4_2(X4,X5),X5)&~(closed_subset(esk4_2(X4,X5),X4))))|closed_subsets(X5,X4)))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4))),inference(shift_quantors,[status(thm)],[78])).
% fof(80, plain,![X4]:![X5]:![X6]:(((((~(element(X6,powerset(the_carrier(X4))))|(~(in(X6,X5))|closed_subset(X6,X4)))|~(closed_subsets(X5,X4)))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))&((((element(esk4_2(X4,X5),powerset(the_carrier(X4)))|closed_subsets(X5,X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))&((((in(esk4_2(X4,X5),X5)|closed_subsets(X5,X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))&(((~(closed_subset(esk4_2(X4,X5),X4))|closed_subsets(X5,X4))|~(element(X5,powerset(powerset(the_carrier(X4))))))|~(top_str(X4)))))),inference(distribute,[status(thm)],[79])).
% cnf(81,plain,(closed_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~closed_subset(esk4_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[80])).
% cnf(82,plain,(closed_subsets(X2,X1)|in(esk4_2(X1,X2),X2)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(split_conjunct,[status(thm)],[80])).
% cnf(84,plain,(closed_subset(X3,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))|~closed_subsets(X2,X1)|~in(X3,X2)|~element(X3,powerset(the_carrier(X1)))),inference(split_conjunct,[status(thm)],[80])).
% fof(99, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|element(X1,X3)),inference(fof_nnf,[status(thm)],[10])).
% fof(100, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|element(X4,X6)),inference(variable_rename,[status(thm)],[99])).
% cnf(101,plain,(element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3)),inference(split_conjunct,[status(thm)],[100])).
% fof(120, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|((~(closed_subset(X2,X1))|open_subset(subset_complement(the_carrier(X1),X2),X1))&(~(open_subset(subset_complement(the_carrier(X1),X2),X1))|closed_subset(X2,X1))))),inference(fof_nnf,[status(thm)],[17])).
% fof(121, plain,![X3]:(~(top_str(X3))|![X4]:(~(element(X4,powerset(the_carrier(X3))))|((~(closed_subset(X4,X3))|open_subset(subset_complement(the_carrier(X3),X4),X3))&(~(open_subset(subset_complement(the_carrier(X3),X4),X3))|closed_subset(X4,X3))))),inference(variable_rename,[status(thm)],[120])).
% fof(122, plain,![X3]:![X4]:((~(element(X4,powerset(the_carrier(X3))))|((~(closed_subset(X4,X3))|open_subset(subset_complement(the_carrier(X3),X4),X3))&(~(open_subset(subset_complement(the_carrier(X3),X4),X3))|closed_subset(X4,X3))))|~(top_str(X3))),inference(shift_quantors,[status(thm)],[121])).
% fof(123, plain,![X3]:![X4]:((((~(closed_subset(X4,X3))|open_subset(subset_complement(the_carrier(X3),X4),X3))|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))&(((~(open_subset(subset_complement(the_carrier(X3),X4),X3))|closed_subset(X4,X3))|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))),inference(distribute,[status(thm)],[122])).
% cnf(124,plain,(closed_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~open_subset(subset_complement(the_carrier(X1),X2),X1)),inference(split_conjunct,[status(thm)],[123])).
% fof(126, plain,![X1]:(~(top_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|((~(open_subset(X2,X1))|closed_subset(subset_complement(the_carrier(X1),X2),X1))&(~(closed_subset(subset_complement(the_carrier(X1),X2),X1))|open_subset(X2,X1))))),inference(fof_nnf,[status(thm)],[18])).
% fof(127, plain,![X3]:(~(top_str(X3))|![X4]:(~(element(X4,powerset(the_carrier(X3))))|((~(open_subset(X4,X3))|closed_subset(subset_complement(the_carrier(X3),X4),X3))&(~(closed_subset(subset_complement(the_carrier(X3),X4),X3))|open_subset(X4,X3))))),inference(variable_rename,[status(thm)],[126])).
% fof(128, plain,![X3]:![X4]:((~(element(X4,powerset(the_carrier(X3))))|((~(open_subset(X4,X3))|closed_subset(subset_complement(the_carrier(X3),X4),X3))&(~(closed_subset(subset_complement(the_carrier(X3),X4),X3))|open_subset(X4,X3))))|~(top_str(X3))),inference(shift_quantors,[status(thm)],[127])).
% fof(129, plain,![X3]:![X4]:((((~(open_subset(X4,X3))|closed_subset(subset_complement(the_carrier(X3),X4),X3))|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))&(((~(closed_subset(subset_complement(the_carrier(X3),X4),X3))|open_subset(X4,X3))|~(element(X4,powerset(the_carrier(X3)))))|~(top_str(X3)))),inference(distribute,[status(thm)],[128])).
% cnf(130,plain,(open_subset(X2,X1)|~top_str(X1)|~element(X2,powerset(the_carrier(X1)))|~closed_subset(subset_complement(the_carrier(X1),X2),X1)),inference(split_conjunct,[status(thm)],[129])).
% fof(135, plain,![X1]:![X2]:(~(element(X2,powerset(powerset(X1))))|![X3]:(~(element(X3,powerset(powerset(X1))))|((~(X3=complements_of_subsets(X1,X2))|![X4]:(~(element(X4,powerset(X1)))|((~(in(X4,X3))|in(subset_complement(X1,X4),X2))&(~(in(subset_complement(X1,X4),X2))|in(X4,X3)))))&(?[X4]:(element(X4,powerset(X1))&((~(in(X4,X3))|~(in(subset_complement(X1,X4),X2)))&(in(X4,X3)|in(subset_complement(X1,X4),X2))))|X3=complements_of_subsets(X1,X2))))),inference(fof_nnf,[status(thm)],[20])).
% fof(136, plain,![X5]:![X6]:(~(element(X6,powerset(powerset(X5))))|![X7]:(~(element(X7,powerset(powerset(X5))))|((~(X7=complements_of_subsets(X5,X6))|![X8]:(~(element(X8,powerset(X5)))|((~(in(X8,X7))|in(subset_complement(X5,X8),X6))&(~(in(subset_complement(X5,X8),X6))|in(X8,X7)))))&(?[X9]:(element(X9,powerset(X5))&((~(in(X9,X7))|~(in(subset_complement(X5,X9),X6)))&(in(X9,X7)|in(subset_complement(X5,X9),X6))))|X7=complements_of_subsets(X5,X6))))),inference(variable_rename,[status(thm)],[135])).
% fof(137, plain,![X5]:![X6]:(~(element(X6,powerset(powerset(X5))))|![X7]:(~(element(X7,powerset(powerset(X5))))|((~(X7=complements_of_subsets(X5,X6))|![X8]:(~(element(X8,powerset(X5)))|((~(in(X8,X7))|in(subset_complement(X5,X8),X6))&(~(in(subset_complement(X5,X8),X6))|in(X8,X7)))))&((element(esk8_3(X5,X6,X7),powerset(X5))&((~(in(esk8_3(X5,X6,X7),X7))|~(in(subset_complement(X5,esk8_3(X5,X6,X7)),X6)))&(in(esk8_3(X5,X6,X7),X7)|in(subset_complement(X5,esk8_3(X5,X6,X7)),X6))))|X7=complements_of_subsets(X5,X6))))),inference(skolemize,[status(esa)],[136])).
% fof(138, plain,![X5]:![X6]:![X7]:![X8]:(((((~(element(X8,powerset(X5)))|((~(in(X8,X7))|in(subset_complement(X5,X8),X6))&(~(in(subset_complement(X5,X8),X6))|in(X8,X7))))|~(X7=complements_of_subsets(X5,X6)))&((element(esk8_3(X5,X6,X7),powerset(X5))&((~(in(esk8_3(X5,X6,X7),X7))|~(in(subset_complement(X5,esk8_3(X5,X6,X7)),X6)))&(in(esk8_3(X5,X6,X7),X7)|in(subset_complement(X5,esk8_3(X5,X6,X7)),X6))))|X7=complements_of_subsets(X5,X6)))|~(element(X7,powerset(powerset(X5)))))|~(element(X6,powerset(powerset(X5))))),inference(shift_quantors,[status(thm)],[137])).
% fof(139, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(in(X8,X7))|in(subset_complement(X5,X8),X6))|~(element(X8,powerset(X5))))|~(X7=complements_of_subsets(X5,X6)))|~(element(X7,powerset(powerset(X5)))))|~(element(X6,powerset(powerset(X5)))))&(((((~(in(subset_complement(X5,X8),X6))|in(X8,X7))|~(element(X8,powerset(X5))))|~(X7=complements_of_subsets(X5,X6)))|~(element(X7,powerset(powerset(X5)))))|~(element(X6,powerset(powerset(X5))))))&((((element(esk8_3(X5,X6,X7),powerset(X5))|X7=complements_of_subsets(X5,X6))|~(element(X7,powerset(powerset(X5)))))|~(element(X6,powerset(powerset(X5)))))&(((((~(in(esk8_3(X5,X6,X7),X7))|~(in(subset_complement(X5,esk8_3(X5,X6,X7)),X6)))|X7=complements_of_subsets(X5,X6))|~(element(X7,powerset(powerset(X5)))))|~(element(X6,powerset(powerset(X5)))))&((((in(esk8_3(X5,X6,X7),X7)|in(subset_complement(X5,esk8_3(X5,X6,X7)),X6))|X7=complements_of_subsets(X5,X6))|~(element(X7,powerset(powerset(X5)))))|~(element(X6,powerset(powerset(X5)))))))),inference(distribute,[status(thm)],[138])).
% cnf(144,plain,(in(subset_complement(X2,X4),X1)|~element(X1,powerset(powerset(X2)))|~element(X3,powerset(powerset(X2)))|X3!=complements_of_subsets(X2,X1)|~element(X4,powerset(X2))|~in(X4,X3)),inference(split_conjunct,[status(thm)],[139])).
% fof(268, negated_conjecture,?[X1]:(top_str(X1)&?[X2]:(element(X2,powerset(powerset(the_carrier(X1))))&((~(closed_subsets(X2,X1))|~(open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)))&(closed_subsets(X2,X1)|open_subsets(complements_of_subsets(the_carrier(X1),X2),X1))))),inference(fof_nnf,[status(thm)],[50])).
% fof(269, negated_conjecture,?[X3]:(top_str(X3)&?[X4]:(element(X4,powerset(powerset(the_carrier(X3))))&((~(closed_subsets(X4,X3))|~(open_subsets(complements_of_subsets(the_carrier(X3),X4),X3)))&(closed_subsets(X4,X3)|open_subsets(complements_of_subsets(the_carrier(X3),X4),X3))))),inference(variable_rename,[status(thm)],[268])).
% fof(270, negated_conjecture,(top_str(esk10_0)&(element(esk11_0,powerset(powerset(the_carrier(esk10_0))))&((~(closed_subsets(esk11_0,esk10_0))|~(open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)))&(closed_subsets(esk11_0,esk10_0)|open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0))))),inference(skolemize,[status(esa)],[269])).
% cnf(271,negated_conjecture,(open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|closed_subsets(esk11_0,esk10_0)),inference(split_conjunct,[status(thm)],[270])).
% cnf(272,negated_conjecture,(~open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|~closed_subsets(esk11_0,esk10_0)),inference(split_conjunct,[status(thm)],[270])).
% cnf(273,negated_conjecture,(element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(split_conjunct,[status(thm)],[270])).
% cnf(274,negated_conjecture,(top_str(esk10_0)),inference(split_conjunct,[status(thm)],[270])).
% cnf(275,plain,(open_subset(X3,X1)|~in(X3,X2)|~open_subsets(X2,X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(csr,[status(thm)],[75,101])).
% cnf(276,plain,(closed_subset(X3,X1)|~closed_subsets(X2,X1)|~in(X3,X2)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(csr,[status(thm)],[84,101])).
% cnf(277,plain,(in(subset_complement(X2,X4),X1)|complements_of_subsets(X2,X1)!=X3|~in(X4,X3)|~element(X3,powerset(powerset(X2)))|~element(X1,powerset(powerset(X2)))),inference(csr,[status(thm)],[144,101])).
% cnf(450,negated_conjecture,(complements_of_subsets(the_carrier(esk10_0),complements_of_subsets(the_carrier(esk10_0),esk11_0))=esk11_0),inference(spm,[status(thm)],[66,273,theory(equality)])).
% cnf(564,negated_conjecture,(element(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk11_0)),inference(spm,[status(thm)],[101,273,theory(equality)])).
% cnf(569,plain,(element(X1,powerset(X2))|~in(X1,complements_of_subsets(X2,X3))|~element(X3,powerset(powerset(X2)))),inference(spm,[status(thm)],[101,57,theory(equality)])).
% cnf(647,plain,(in(esk3_2(X1,complements_of_subsets(the_carrier(X1),X2)),complements_of_subsets(the_carrier(X1),X2))|open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[73,57,theory(equality)])).
% cnf(654,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|in(esk4_2(esk10_0,esk11_0),esk11_0)|~top_str(esk10_0)),inference(spm,[status(thm)],[82,273,theory(equality)])).
% cnf(662,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|in(esk4_2(esk10_0,esk11_0),esk11_0)|$false),inference(rw,[status(thm)],[654,274,theory(equality)])).
% cnf(663,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|in(esk4_2(esk10_0,esk11_0),esk11_0)),inference(cn,[status(thm)],[662,theory(equality)])).
% cnf(675,plain,(open_subsets(complements_of_subsets(the_carrier(X1),X2),X1)|~open_subset(esk3_2(X1,complements_of_subsets(the_carrier(X1),X2)),X1)|~top_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[72,57,theory(equality)])).
% cnf(681,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|~closed_subset(esk4_2(esk10_0,esk11_0),esk10_0)|~top_str(esk10_0)),inference(spm,[status(thm)],[81,273,theory(equality)])).
% cnf(689,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|~closed_subset(esk4_2(esk10_0,esk11_0),esk10_0)|$false),inference(rw,[status(thm)],[681,274,theory(equality)])).
% cnf(690,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|~closed_subset(esk4_2(esk10_0,esk11_0),esk10_0)),inference(cn,[status(thm)],[689,theory(equality)])).
% cnf(738,plain,(open_subset(X1,X2)|~in(X1,complements_of_subsets(the_carrier(X2),X3))|~open_subsets(complements_of_subsets(the_carrier(X2),X3),X2)|~top_str(X2)|~element(X3,powerset(powerset(the_carrier(X2))))),inference(spm,[status(thm)],[275,57,theory(equality)])).
% cnf(744,negated_conjecture,(closed_subset(X1,esk10_0)|~closed_subsets(esk11_0,esk10_0)|~in(X1,esk11_0)|~top_str(esk10_0)),inference(spm,[status(thm)],[276,273,theory(equality)])).
% cnf(753,negated_conjecture,(closed_subset(X1,esk10_0)|~closed_subsets(esk11_0,esk10_0)|~in(X1,esk11_0)|$false),inference(rw,[status(thm)],[744,274,theory(equality)])).
% cnf(754,negated_conjecture,(closed_subset(X1,esk10_0)|~closed_subsets(esk11_0,esk10_0)|~in(X1,esk11_0)),inference(cn,[status(thm)],[753,theory(equality)])).
% cnf(756,negated_conjecture,(in(subset_complement(the_carrier(esk10_0),X1),X2)|complements_of_subsets(the_carrier(esk10_0),X2)!=esk11_0|~in(X1,esk11_0)|~element(X2,powerset(powerset(the_carrier(esk10_0))))),inference(spm,[status(thm)],[277,273,theory(equality)])).
% cnf(762,plain,(in(subset_complement(X1,X2),X3)|complements_of_subsets(X1,X3)!=complements_of_subsets(X1,X4)|~in(X2,complements_of_subsets(X1,X4))|~element(X3,powerset(powerset(X1)))|~element(X4,powerset(powerset(X1)))),inference(spm,[status(thm)],[277,57,theory(equality)])).
% cnf(2856,negated_conjecture,(element(X1,powerset(the_carrier(esk10_0)))|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))),inference(spm,[status(thm)],[569,273,theory(equality)])).
% cnf(11650,negated_conjecture,(open_subset(X1,esk10_0)|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))|~open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|~top_str(esk10_0)),inference(spm,[status(thm)],[738,273,theory(equality)])).
% cnf(11671,negated_conjecture,(open_subset(X1,esk10_0)|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))|~open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|$false),inference(rw,[status(thm)],[11650,274,theory(equality)])).
% cnf(11672,negated_conjecture,(open_subset(X1,esk10_0)|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))|~open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)),inference(cn,[status(thm)],[11671,theory(equality)])).
% cnf(12761,negated_conjecture,(in(subset_complement(the_carrier(esk10_0),X1),complements_of_subsets(the_carrier(esk10_0),X2))|complements_of_subsets(the_carrier(esk10_0),complements_of_subsets(the_carrier(esk10_0),X2))!=esk11_0|~in(X1,esk11_0)|~element(X2,powerset(powerset(the_carrier(esk10_0))))),inference(spm,[status(thm)],[756,57,theory(equality)])).
% cnf(12973,negated_conjecture,(in(subset_complement(the_carrier(esk10_0),X1),esk11_0)|complements_of_subsets(the_carrier(esk10_0),esk11_0)!=complements_of_subsets(the_carrier(esk10_0),X2)|~in(X1,complements_of_subsets(the_carrier(esk10_0),X2))|~element(X2,powerset(powerset(the_carrier(esk10_0))))),inference(spm,[status(thm)],[762,273,theory(equality)])).
% cnf(38066,negated_conjecture,(open_subset(X1,esk10_0)|closed_subsets(esk11_0,esk10_0)|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))),inference(spm,[status(thm)],[11672,271,theory(equality)])).
% cnf(275510,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|open_subset(subset_complement(the_carrier(esk10_0),X1),esk10_0)|complements_of_subsets(the_carrier(esk10_0),complements_of_subsets(the_carrier(esk10_0),esk11_0))!=esk11_0|~in(X1,esk11_0)|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(spm,[status(thm)],[38066,12761,theory(equality)])).
% cnf(275640,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|open_subset(subset_complement(the_carrier(esk10_0),X1),esk10_0)|$false|~in(X1,esk11_0)|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(rw,[status(thm)],[275510,450,theory(equality)])).
% cnf(275641,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|open_subset(subset_complement(the_carrier(esk10_0),X1),esk10_0)|$false|~in(X1,esk11_0)|$false),inference(rw,[status(thm)],[275640,273,theory(equality)])).
% cnf(275642,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|open_subset(subset_complement(the_carrier(esk10_0),X1),esk10_0)|~in(X1,esk11_0)),inference(cn,[status(thm)],[275641,theory(equality)])).
% cnf(286640,negated_conjecture,(in(subset_complement(the_carrier(esk10_0),X1),esk11_0)|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))),inference(spm,[status(thm)],[12973,273,theory(equality)])).
% cnf(287924,negated_conjecture,(closed_subset(X1,esk10_0)|closed_subsets(esk11_0,esk10_0)|~top_str(esk10_0)|~element(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk11_0)),inference(spm,[status(thm)],[124,275642,theory(equality)])).
% cnf(288016,negated_conjecture,(closed_subset(X1,esk10_0)|closed_subsets(esk11_0,esk10_0)|$false|~element(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk11_0)),inference(rw,[status(thm)],[287924,274,theory(equality)])).
% cnf(288017,negated_conjecture,(closed_subset(X1,esk10_0)|closed_subsets(esk11_0,esk10_0)|~element(X1,powerset(the_carrier(esk10_0)))|~in(X1,esk11_0)),inference(cn,[status(thm)],[288016,theory(equality)])).
% cnf(288031,negated_conjecture,(closed_subset(X1,esk10_0)|closed_subsets(esk11_0,esk10_0)|~in(X1,esk11_0)),inference(csr,[status(thm)],[288017,564])).
% cnf(288032,negated_conjecture,(closed_subset(X1,esk10_0)|~in(X1,esk11_0)),inference(csr,[status(thm)],[288031,754])).
% cnf(288043,negated_conjecture,(closed_subsets(esk11_0,esk10_0)|~in(esk4_2(esk10_0,esk11_0),esk11_0)),inference(spm,[status(thm)],[690,288032,theory(equality)])).
% cnf(288049,negated_conjecture,(open_subset(X1,esk10_0)|~top_str(esk10_0)|~element(X1,powerset(the_carrier(esk10_0)))|~in(subset_complement(the_carrier(esk10_0),X1),esk11_0)),inference(spm,[status(thm)],[130,288032,theory(equality)])).
% cnf(288082,negated_conjecture,(open_subset(X1,esk10_0)|$false|~element(X1,powerset(the_carrier(esk10_0)))|~in(subset_complement(the_carrier(esk10_0),X1),esk11_0)),inference(rw,[status(thm)],[288049,274,theory(equality)])).
% cnf(288083,negated_conjecture,(open_subset(X1,esk10_0)|~element(X1,powerset(the_carrier(esk10_0)))|~in(subset_complement(the_carrier(esk10_0),X1),esk11_0)),inference(cn,[status(thm)],[288082,theory(equality)])).
% cnf(288150,negated_conjecture,(closed_subsets(esk11_0,esk10_0)),inference(csr,[status(thm)],[288043,663])).
% cnf(288255,negated_conjecture,($false|~open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)),inference(rw,[status(thm)],[272,288150,theory(equality)])).
% cnf(288256,negated_conjecture,(~open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)),inference(cn,[status(thm)],[288255,theory(equality)])).
% cnf(392836,negated_conjecture,(open_subset(X1,esk10_0)|~element(X1,powerset(the_carrier(esk10_0)))|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))),inference(spm,[status(thm)],[288083,286640,theory(equality)])).
% cnf(392957,negated_conjecture,(open_subset(X1,esk10_0)|~in(X1,complements_of_subsets(the_carrier(esk10_0),esk11_0))),inference(csr,[status(thm)],[392836,2856])).
% cnf(392964,negated_conjecture,(open_subset(esk3_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),esk10_0)|open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|~top_str(esk10_0)|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(spm,[status(thm)],[392957,647,theory(equality)])).
% cnf(393012,negated_conjecture,(open_subset(esk3_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),esk10_0)|open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|$false|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(rw,[status(thm)],[392964,274,theory(equality)])).
% cnf(393013,negated_conjecture,(open_subset(esk3_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),esk10_0)|open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|$false|$false),inference(rw,[status(thm)],[393012,273,theory(equality)])).
% cnf(393014,negated_conjecture,(open_subset(esk3_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),esk10_0)|open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)),inference(cn,[status(thm)],[393013,theory(equality)])).
% cnf(393015,negated_conjecture,(open_subset(esk3_2(esk10_0,complements_of_subsets(the_carrier(esk10_0),esk11_0)),esk10_0)),inference(sr,[status(thm)],[393014,288256,theory(equality)])).
% cnf(393048,negated_conjecture,(open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|~top_str(esk10_0)|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(spm,[status(thm)],[675,393015,theory(equality)])).
% cnf(393055,negated_conjecture,(open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|$false|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(rw,[status(thm)],[393048,274,theory(equality)])).
% cnf(393056,negated_conjecture,(open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)|$false|$false),inference(rw,[status(thm)],[393055,273,theory(equality)])).
% cnf(393057,negated_conjecture,(open_subsets(complements_of_subsets(the_carrier(esk10_0),esk11_0),esk10_0)),inference(cn,[status(thm)],[393056,theory(equality)])).
% cnf(393058,negated_conjecture,($false),inference(sr,[status(thm)],[393057,288256,theory(equality)])).
% cnf(393059,negated_conjecture,($false),393058,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 47845
% # ...of these trivial : 144
% # ...subsumed : 40620
% # ...remaining for further processing: 7081
% # Other redundant clauses eliminated : 3
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 300
% # Backward-rewritten : 156
% # Generated clauses : 247405
% # ...of the previous two non-trivial : 222388
% # Contextual simplify-reflections : 21296
% # Paramodulations : 247345
% # Factorizations : 0
% # Equation resolutions : 26
% # Current number of processed clauses: 6499
% # Positive orientable unit clauses: 91
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 49
% # Non-unit-clauses : 6359
% # Current number of unprocessed clauses: 167313
% # ...number of literals in the above : 885263
% # Clause-clause subsumption calls (NU) : 1279919
% # Rec. Clause-clause subsumption calls : 870561
% # Unit Clause-clause subsumption calls : 26791
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 110
% # Indexed BW rewrite successes : 12
% # Backwards rewriting index: 1624 leaves, 2.09+/-2.454 terms/leaf
% # Paramod-from index: 971 leaves, 1.78+/-1.658 terms/leaf
% # Paramod-into index: 1418 leaves, 1.92+/-1.923 terms/leaf
% # -------------------------------------------------
% # User time : 14.308 s
% # System time : 0.365 s
% # Total time : 14.673 s
% # Maximum resident set size: 0 pages
% PrfWatch: 19.33 CPU 20.35 WC
% FINAL PrfWatch: 19.33 CPU 20.35 WC
% SZS output end Solution for /tmp/SystemOnTPTP19225/SEU336+1.tptp
%
%------------------------------------------------------------------------------