TSTP Solution File: SEU310+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU310+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 03:27:25 EST 2010
% Result : Theorem 1.28s
% Output : Solution 1.28s
% 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/SystemOnTPTP23920/SEU310+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP23920/SEU310+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP23920/SEU310+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 24052
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>(![X3]:![X4]:![X5]:((((X3=X4&in(set_difference(cast_as_carrier_subset(X1),X4),X2))&X3=X5)&in(set_difference(cast_as_carrier_subset(X1),X5),X2))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,powerset(the_carrier(X1)))&X5=X4)&in(set_difference(cast_as_carrier_subset(X1),X4),X2))))),file('/tmp/SRASS.s.p', s1_tarski__e2_37_1_1__pre_topc__1)).
% fof(36, conjecture,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2)))),file('/tmp/SRASS.s.p', s1_xboole_0__e2_37_1_1__pre_topc__1)).
% fof(37, negated_conjecture,~(![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2))))),inference(assume_negation,[status(cth)],[36])).
% fof(45, plain,![X1]:![X2]:(((~(topological_space(X1))|~(top_str(X1)))|~(element(X2,powerset(powerset(the_carrier(X1))))))|(?[X3]:?[X4]:?[X5]:((((X3=X4&in(set_difference(cast_as_carrier_subset(X1),X4),X2))&X3=X5)&in(set_difference(cast_as_carrier_subset(X1),X5),X2))&~(X4=X5))|?[X3]:![X4]:((~(in(X4,X3))|?[X5]:((in(X5,powerset(the_carrier(X1)))&X5=X4)&in(set_difference(cast_as_carrier_subset(X1),X4),X2)))&(![X5]:((~(in(X5,powerset(the_carrier(X1))))|~(X5=X4))|~(in(set_difference(cast_as_carrier_subset(X1),X4),X2)))|in(X4,X3))))),inference(fof_nnf,[status(thm)],[2])).
% fof(46, plain,![X6]:![X7]:(((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))|(?[X8]:?[X9]:?[X10]:((((X8=X9&in(set_difference(cast_as_carrier_subset(X6),X9),X7))&X8=X10)&in(set_difference(cast_as_carrier_subset(X6),X10),X7))&~(X9=X10))|?[X11]:![X12]:((~(in(X12,X11))|?[X13]:((in(X13,powerset(the_carrier(X6)))&X13=X12)&in(set_difference(cast_as_carrier_subset(X6),X12),X7)))&(![X14]:((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,X11))))),inference(variable_rename,[status(thm)],[45])).
% fof(47, plain,![X6]:![X7]:(((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))|(((((esk1_2(X6,X7)=esk2_2(X6,X7)&in(set_difference(cast_as_carrier_subset(X6),esk2_2(X6,X7)),X7))&esk1_2(X6,X7)=esk3_2(X6,X7))&in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7))&~(esk2_2(X6,X7)=esk3_2(X6,X7)))|![X12]:((~(in(X12,esk4_2(X6,X7)))|((in(esk5_3(X6,X7,X12),powerset(the_carrier(X6)))&esk5_3(X6,X7,X12)=X12)&in(set_difference(cast_as_carrier_subset(X6),X12),X7)))&(![X14]:((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk4_2(X6,X7)))))),inference(skolemize,[status(esa)],[46])).
% fof(48, plain,![X6]:![X7]:![X12]:![X14]:((((((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk4_2(X6,X7)))&(~(in(X12,esk4_2(X6,X7)))|((in(esk5_3(X6,X7,X12),powerset(the_carrier(X6)))&esk5_3(X6,X7,X12)=X12)&in(set_difference(cast_as_carrier_subset(X6),X12),X7))))|((((esk1_2(X6,X7)=esk2_2(X6,X7)&in(set_difference(cast_as_carrier_subset(X6),esk2_2(X6,X7)),X7))&esk1_2(X6,X7)=esk3_2(X6,X7))&in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7))&~(esk2_2(X6,X7)=esk3_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))),inference(shift_quantors,[status(thm)],[47])).
% fof(49, plain,![X6]:![X7]:![X12]:![X14]:(((((((esk1_2(X6,X7)=esk2_2(X6,X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk4_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk2_2(X6,X7)),X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk4_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk1_2(X6,X7)=esk3_2(X6,X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk4_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk4_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk2_2(X6,X7)=esk3_2(X6,X7))|(((~(in(X14,powerset(the_carrier(X6))))|~(X14=X12))|~(in(set_difference(cast_as_carrier_subset(X6),X12),X7)))|in(X12,esk4_2(X6,X7))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((((((((esk1_2(X6,X7)=esk2_2(X6,X7)|(in(esk5_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk2_2(X6,X7)),X7)|(in(esk5_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk1_2(X6,X7)=esk3_2(X6,X7)|(in(esk5_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(in(esk5_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk2_2(X6,X7)=esk3_2(X6,X7))|(in(esk5_3(X6,X7,X12),powerset(the_carrier(X6)))|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((((((esk1_2(X6,X7)=esk2_2(X6,X7)|(esk5_3(X6,X7,X12)=X12|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk2_2(X6,X7)),X7)|(esk5_3(X6,X7,X12)=X12|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk1_2(X6,X7)=esk3_2(X6,X7)|(esk5_3(X6,X7,X12)=X12|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(esk5_3(X6,X7,X12)=X12|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk2_2(X6,X7)=esk3_2(X6,X7))|(esk5_3(X6,X7,X12)=X12|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))))&((((((esk1_2(X6,X7)=esk2_2(X6,X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))&((in(set_difference(cast_as_carrier_subset(X6),esk2_2(X6,X7)),X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((esk1_2(X6,X7)=esk3_2(X6,X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((in(set_difference(cast_as_carrier_subset(X6),esk3_2(X6,X7)),X7)|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6))))))))&((~(esk2_2(X6,X7)=esk3_2(X6,X7))|(in(set_difference(cast_as_carrier_subset(X6),X12),X7)|~(in(X12,esk4_2(X6,X7)))))|((~(topological_space(X6))|~(top_str(X6)))|~(element(X7,powerset(powerset(the_carrier(X6)))))))))),inference(distribute,[status(thm)],[48])).
% cnf(50,plain,(in(set_difference(cast_as_carrier_subset(X2),X3),X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[49])).
% cnf(52,plain,(in(set_difference(cast_as_carrier_subset(X2),X3),X1)|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))),inference(split_conjunct,[status(thm)],[49])).
% cnf(54,plain,(in(set_difference(cast_as_carrier_subset(X2),X3),X1)|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))),inference(split_conjunct,[status(thm)],[49])).
% cnf(55,plain,(esk5_3(X2,X1,X3)=X3|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[49])).
% cnf(57,plain,(esk5_3(X2,X1,X3)=X3|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))),inference(split_conjunct,[status(thm)],[49])).
% cnf(59,plain,(esk5_3(X2,X1,X3)=X3|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))),inference(split_conjunct,[status(thm)],[49])).
% cnf(60,plain,(in(esk5_3(X2,X1,X3),powerset(the_carrier(X2)))|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[49])).
% cnf(62,plain,(in(esk5_3(X2,X1,X3),powerset(the_carrier(X2)))|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))),inference(split_conjunct,[status(thm)],[49])).
% cnf(64,plain,(in(esk5_3(X2,X1,X3),powerset(the_carrier(X2)))|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk4_2(X2,X1))),inference(split_conjunct,[status(thm)],[49])).
% cnf(65,plain,(in(X3,esk4_2(X2,X1))|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X3),X1)|X4!=X3|~in(X4,powerset(the_carrier(X2)))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[49])).
% cnf(67,plain,(in(X3,esk4_2(X2,X1))|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X3),X1)|X4!=X3|~in(X4,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[49])).
% cnf(69,plain,(in(X3,esk4_2(X2,X1))|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X3),X1)|X4!=X3|~in(X4,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[49])).
% fof(227, negated_conjecture,?[X1]:?[X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))&![X3]:?[X4]:((~(in(X4,X3))|(~(in(X4,powerset(the_carrier(X1))))|~(in(set_difference(cast_as_carrier_subset(X1),X4),X2))))&(in(X4,X3)|(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2))))),inference(fof_nnf,[status(thm)],[37])).
% fof(228, negated_conjecture,?[X5]:?[X6]:(((topological_space(X5)&top_str(X5))&element(X6,powerset(powerset(the_carrier(X5)))))&![X7]:?[X8]:((~(in(X8,X7))|(~(in(X8,powerset(the_carrier(X5))))|~(in(set_difference(cast_as_carrier_subset(X5),X8),X6))))&(in(X8,X7)|(in(X8,powerset(the_carrier(X5)))&in(set_difference(cast_as_carrier_subset(X5),X8),X6))))),inference(variable_rename,[status(thm)],[227])).
% fof(229, negated_conjecture,(((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))&![X7]:((~(in(esk12_1(X7),X7))|(~(in(esk12_1(X7),powerset(the_carrier(esk10_0))))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&(in(esk12_1(X7),X7)|(in(esk12_1(X7),powerset(the_carrier(esk10_0)))&in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))),inference(skolemize,[status(esa)],[228])).
% fof(230, negated_conjecture,![X7]:(((~(in(esk12_1(X7),X7))|(~(in(esk12_1(X7),powerset(the_carrier(esk10_0))))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&(in(esk12_1(X7),X7)|(in(esk12_1(X7),powerset(the_carrier(esk10_0)))&in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))),inference(shift_quantors,[status(thm)],[229])).
% fof(231, negated_conjecture,![X7]:(((~(in(esk12_1(X7),X7))|(~(in(esk12_1(X7),powerset(the_carrier(esk10_0))))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))))&((in(esk12_1(X7),powerset(the_carrier(esk10_0)))|in(esk12_1(X7),X7))&(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0)|in(esk12_1(X7),X7))))&((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))),inference(distribute,[status(thm)],[230])).
% cnf(232,negated_conjecture,(element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(split_conjunct,[status(thm)],[231])).
% cnf(233,negated_conjecture,(top_str(esk10_0)),inference(split_conjunct,[status(thm)],[231])).
% cnf(234,negated_conjecture,(topological_space(esk10_0)),inference(split_conjunct,[status(thm)],[231])).
% cnf(235,negated_conjecture,(in(esk12_1(X1),X1)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X1)),esk11_0)),inference(split_conjunct,[status(thm)],[231])).
% cnf(236,negated_conjecture,(in(esk12_1(X1),X1)|in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(split_conjunct,[status(thm)],[231])).
% cnf(237,negated_conjecture,(~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X1)),esk11_0)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))|~in(esk12_1(X1),X1)),inference(split_conjunct,[status(thm)],[231])).
% cnf(372,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[64,232,theory(equality)])).
% cnf(375,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[372,233,theory(equality)])).
% cnf(376,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[375,234,theory(equality)])).
% cnf(377,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[376,theory(equality)])).
% cnf(379,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[62,232,theory(equality)])).
% cnf(382,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[379,233,theory(equality)])).
% cnf(383,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[382,234,theory(equality)])).
% cnf(384,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[383,theory(equality)])).
% cnf(386,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[59,232,theory(equality)])).
% cnf(389,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[386,233,theory(equality)])).
% cnf(390,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[389,234,theory(equality)])).
% cnf(391,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[390,theory(equality)])).
% cnf(393,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[57,232,theory(equality)])).
% cnf(396,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[393,233,theory(equality)])).
% cnf(397,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[396,234,theory(equality)])).
% cnf(398,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[397,theory(equality)])).
% cnf(400,negated_conjecture,(esk5_3(esk10_0,esk11_0,X1)=X1|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[55,232,theory(equality)])).
% cnf(403,negated_conjecture,(esk5_3(esk10_0,esk11_0,X1)=X1|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[400,233,theory(equality)])).
% cnf(404,negated_conjecture,(esk5_3(esk10_0,esk11_0,X1)=X1|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[403,234,theory(equality)])).
% cnf(405,negated_conjecture,(esk5_3(esk10_0,esk11_0,X1)=X1|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[404,theory(equality)])).
% cnf(407,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[54,232,theory(equality)])).
% cnf(410,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[407,233,theory(equality)])).
% cnf(411,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[410,234,theory(equality)])).
% cnf(412,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[411,theory(equality)])).
% cnf(414,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[52,232,theory(equality)])).
% cnf(417,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[414,233,theory(equality)])).
% cnf(418,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[417,234,theory(equality)])).
% cnf(419,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[418,theory(equality)])).
% cnf(421,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[50,232,theory(equality)])).
% cnf(424,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[421,233,theory(equality)])).
% cnf(425,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[424,234,theory(equality)])).
% cnf(426,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[425,theory(equality)])).
% cnf(428,plain,(in(X1,esk4_2(X2,X3))|esk3_2(X2,X3)!=esk2_2(X2,X3)|~element(X3,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X1),X3)|~in(X1,powerset(the_carrier(X2)))),inference(er,[status(thm)],[65,theory(equality)])).
% cnf(429,negated_conjecture,(in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~top_str(esk10_0)|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[60,232,theory(equality)])).
% cnf(432,negated_conjecture,(in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|~topological_space(esk10_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[429,233,theory(equality)])).
% cnf(433,negated_conjecture,(in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|$false|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[432,234,theory(equality)])).
% cnf(434,negated_conjecture,(in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[433,theory(equality)])).
% cnf(450,plain,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk4_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1)|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))),inference(er,[status(thm)],[69,theory(equality)])).
% cnf(451,plain,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk4_2(X1,X2))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1)|~in(set_difference(cast_as_carrier_subset(X1),X3),X2)|~in(X3,powerset(the_carrier(X1)))),inference(er,[status(thm)],[67,theory(equality)])).
% cnf(1472,negated_conjecture,(in(X1,esk4_2(esk10_0,esk11_0))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~top_str(esk10_0)|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[428,232,theory(equality)])).
% cnf(1475,negated_conjecture,(in(X1,esk4_2(esk10_0,esk11_0))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[1472,233,theory(equality)])).
% cnf(1476,negated_conjecture,(in(X1,esk4_2(esk10_0,esk11_0))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|$false|$false|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[1475,234,theory(equality)])).
% cnf(1477,negated_conjecture,(in(X1,esk4_2(esk10_0,esk11_0))|esk3_2(esk10_0,esk11_0)!=esk2_2(esk10_0,esk11_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[1476,theory(equality)])).
% cnf(1774,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|~top_str(esk10_0)|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[450,232,theory(equality)])).
% cnf(1777,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|$false|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[1774,233,theory(equality)])).
% cnf(1778,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|$false|$false|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[1777,234,theory(equality)])).
% cnf(1779,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[1778,theory(equality)])).
% cnf(1832,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|~top_str(esk10_0)|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[451,232,theory(equality)])).
% cnf(1835,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|$false|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[1832,233,theory(equality)])).
% cnf(1836,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|$false|$false|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[1835,234,theory(equality)])).
% cnf(1837,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(X1,esk4_2(esk10_0,esk11_0))|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[1836,theory(equality)])).
% cnf(1898,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk12_1(X1),esk4_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[1779,235,theory(equality)])).
% cnf(1899,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk4_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[1837,235,theory(equality)])).
% cnf(2238,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk12_1(X1),esk4_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)),inference(csr,[status(thm)],[1898,236])).
% cnf(2239,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk12_1(esk4_2(esk10_0,esk11_0)),esk4_2(esk10_0,esk11_0))),inference(ef,[status(thm)],[2238,theory(equality)])).
% cnf(2284,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(X1),esk4_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)),inference(csr,[status(thm)],[1899,236])).
% cnf(2285,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk4_2(esk10_0,esk11_0)),esk4_2(esk10_0,esk11_0))),inference(ef,[status(thm)],[2284,theory(equality)])).
% cnf(2332,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,esk12_1(esk4_2(esk10_0,esk11_0))),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[377,2239,theory(equality)])).
% cnf(2334,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,esk12_1(esk4_2(esk10_0,esk11_0)))=esk12_1(esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[391,2239,theory(equality)])).
% cnf(2336,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk4_2(esk10_0,esk11_0))),esk11_0)),inference(spm,[status(thm)],[412,2239,theory(equality)])).
% cnf(2352,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,esk12_1(esk4_2(esk10_0,esk11_0))),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[384,2285,theory(equality)])).
% cnf(2354,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,esk12_1(esk4_2(esk10_0,esk11_0)))=esk12_1(esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[398,2285,theory(equality)])).
% cnf(2356,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk4_2(esk10_0,esk11_0))),esk11_0)),inference(spm,[status(thm)],[419,2285,theory(equality)])).
% cnf(2366,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|~in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk4_2(esk10_0,esk11_0)),esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[237,2336,theory(equality)])).
% cnf(2372,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[2332,2334,theory(equality)])).
% cnf(2378,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[2352,2354,theory(equality)])).
% cnf(2408,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|~in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(csr,[status(thm)],[2366,2239])).
% cnf(2409,negated_conjecture,(esk1_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)),inference(csr,[status(thm)],[2408,2372])).
% cnf(2411,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[2378,2409,theory(equality)])).
% cnf(2416,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk4_2(esk10_0,esk11_0))),esk11_0)),inference(rw,[status(thm)],[2356,2409,theory(equality)])).
% cnf(2426,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk12_1(esk4_2(esk10_0,esk11_0)),esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[2285,2409,theory(equality)])).
% cnf(2435,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[419,2409,theory(equality)])).
% cnf(2437,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|esk5_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[398,2409,theory(equality)])).
% cnf(2439,negated_conjecture,(esk2_2(esk10_0,esk11_0)=esk3_2(esk10_0,esk11_0)|in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|~in(X1,esk4_2(esk10_0,esk11_0))),inference(rw,[status(thm)],[384,2409,theory(equality)])).
% cnf(2442,negated_conjecture,(esk5_3(esk10_0,esk11_0,X1)=X1|~in(X1,esk4_2(esk10_0,esk11_0))),inference(csr,[status(thm)],[2437,405])).
% cnf(2444,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,esk4_2(esk10_0,esk11_0))),inference(csr,[status(thm)],[2435,426])).
% cnf(2446,negated_conjecture,(in(esk5_3(esk10_0,esk11_0,X1),powerset(the_carrier(esk10_0)))|~in(X1,esk4_2(esk10_0,esk11_0))),inference(csr,[status(thm)],[2439,434])).
% cnf(2455,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|~in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk4_2(esk10_0,esk11_0)),esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[237,2416,theory(equality)])).
% cnf(2469,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)|~in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(csr,[status(thm)],[2455,2426])).
% cnf(2470,negated_conjecture,(esk3_2(esk10_0,esk11_0)=esk2_2(esk10_0,esk11_0)),inference(csr,[status(thm)],[2469,2411])).
% cnf(2482,negated_conjecture,(in(X1,esk4_2(esk10_0,esk11_0))|$false|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[1477,2470,theory(equality)])).
% cnf(2483,negated_conjecture,(in(X1,esk4_2(esk10_0,esk11_0))|~in(set_difference(cast_as_carrier_subset(esk10_0),X1),esk11_0)|~in(X1,powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[2482,theory(equality)])).
% cnf(2484,negated_conjecture,(in(esk12_1(X1),esk4_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)|~in(esk12_1(X1),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[2483,235,theory(equality)])).
% cnf(2486,negated_conjecture,(in(esk12_1(X1),esk4_2(esk10_0,esk11_0))|in(esk12_1(X1),X1)),inference(csr,[status(thm)],[2484,236])).
% cnf(2487,negated_conjecture,(in(esk12_1(esk4_2(esk10_0,esk11_0)),esk4_2(esk10_0,esk11_0))),inference(ef,[status(thm)],[2486,theory(equality)])).
% cnf(2525,negated_conjecture,(in(esk5_3(esk10_0,esk11_0,esk12_1(esk4_2(esk10_0,esk11_0))),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[2446,2487,theory(equality)])).
% cnf(2526,negated_conjecture,(esk5_3(esk10_0,esk11_0,esk12_1(esk4_2(esk10_0,esk11_0)))=esk12_1(esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[2442,2487,theory(equality)])).
% cnf(2527,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk4_2(esk10_0,esk11_0))),esk11_0)),inference(spm,[status(thm)],[2444,2487,theory(equality)])).
% cnf(2538,negated_conjecture,(~in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|~in(esk12_1(esk4_2(esk10_0,esk11_0)),esk4_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[237,2527,theory(equality)])).
% cnf(2540,negated_conjecture,(~in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))|$false),inference(rw,[status(thm)],[2538,2487,theory(equality)])).
% cnf(2541,negated_conjecture,(~in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[2540,theory(equality)])).
% cnf(2542,negated_conjecture,(in(esk12_1(esk4_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(rw,[status(thm)],[2525,2526,theory(equality)])).
% cnf(2543,negated_conjecture,($false),inference(sr,[status(thm)],[2542,2541,theory(equality)])).
% cnf(2544,negated_conjecture,($false),2543,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1055
% # ...of these trivial : 171
% # ...subsumed : 339
% # ...remaining for further processing: 545
% # Other redundant clauses eliminated : 5
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 11
% # Backward-rewritten : 44
% # Generated clauses : 1862
% # ...of the previous two non-trivial : 1810
% # Contextual simplify-reflections : 59
% # Paramodulations : 1849
% # Factorizations : 8
% # Equation resolutions : 5
% # Current number of processed clauses: 484
% # Positive orientable unit clauses: 96
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 382
% # Current number of unprocessed clauses: 731
% # ...number of literals in the above : 2133
% # Clause-clause subsumption calls (NU) : 5442
% # Rec. Clause-clause subsumption calls : 4104
% # Unit Clause-clause subsumption calls : 16
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 276
% # Indexed BW rewrite successes : 4
% # Backwards rewriting index: 258 leaves, 1.83+/-2.319 terms/leaf
% # Paramod-from index: 65 leaves, 3.42+/-4.000 terms/leaf
% # Paramod-into index: 152 leaves, 2.23+/-2.917 terms/leaf
% # -------------------------------------------------
% # User time : 0.107 s
% # System time : 0.007 s
% # Total time : 0.114 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.22 CPU 0.31 WC
% FINAL PrfWatch: 0.22 CPU 0.31 WC
% SZS output end Solution for /tmp/SystemOnTPTP23920/SEU310+1.tptp
%
%------------------------------------------------------------------------------