TSTP Solution File: SEU168+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU168+3 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 01:24:29 EST 2010
% Result : Theorem 3.90s
% Output : Solution 3.90s
% 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/SystemOnTPTP23337/SEU168+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP23337/SEU168+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP23337/SEU168+3.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 23433
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(4, axiom,![X1]:?[X2]:(((in(X1,X2)&![X3]:![X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:~((in(X3,X2)&![X4]:~((in(X4,X2)&![X5]:(subset(X5,X3)=>in(X5,X4)))))))&![X3]:~(((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2))))),file('/tmp/SRASS.s.p', t9_tarski)).
% fof(5, axiom,![X1]:![X2]:(X2=powerset(X1)<=>![X3]:(in(X3,X2)<=>subset(X3,X1))),file('/tmp/SRASS.s.p', d1_zfmisc_1)).
% fof(8, conjecture,![X1]:?[X2]:(((in(X1,X2)&![X3]:![X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:(in(X3,X2)=>in(powerset(X3),X2)))&![X3]:~(((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2))))),file('/tmp/SRASS.s.p', t136_zfmisc_1)).
% fof(9, negated_conjecture,~(![X1]:?[X2]:(((in(X1,X2)&![X3]:![X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:(in(X3,X2)=>in(powerset(X3),X2)))&![X3]:~(((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2)))))),inference(assume_negation,[status(cth)],[8])).
% fof(11, plain,![X1]:?[X2]:(((in(X1,X2)&![X3]:![X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:~((in(X3,X2)&![X4]:~((in(X4,X2)&![X5]:(subset(X5,X3)=>in(X5,X4)))))))&![X3]:~(((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2))))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(13, negated_conjecture,~(![X1]:?[X2]:(((in(X1,X2)&![X3]:![X4]:((in(X3,X2)&subset(X4,X3))=>in(X4,X2)))&![X3]:(in(X3,X2)=>in(powerset(X3),X2)))&![X3]:~(((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2)))))),inference(fof_simplification,[status(thm)],[9,theory(equality)])).
% fof(17, 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)],[2])).
% fof(18, 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)],[17])).
% fof(19, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk1_2(X4,X5),X4)&~(in(esk1_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[18])).
% fof(20, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk1_2(X4,X5),X4)&~(in(esk1_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[19])).
% fof(21, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk1_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk1_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[20])).
% cnf(22,plain,(subset(X1,X2)|~in(esk1_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[21])).
% cnf(23,plain,(subset(X1,X2)|in(esk1_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[21])).
% fof(27, plain,![X1]:?[X2]:(((in(X1,X2)&![X3]:![X4]:((~(in(X3,X2))|~(subset(X4,X3)))|in(X4,X2)))&![X3]:(~(in(X3,X2))|?[X4]:(in(X4,X2)&![X5]:(~(subset(X5,X3))|in(X5,X4)))))&![X3]:((~(subset(X3,X2))|are_equipotent(X3,X2))|in(X3,X2))),inference(fof_nnf,[status(thm)],[11])).
% fof(28, plain,![X6]:?[X7]:(((in(X6,X7)&![X8]:![X9]:((~(in(X8,X7))|~(subset(X9,X8)))|in(X9,X7)))&![X10]:(~(in(X10,X7))|?[X11]:(in(X11,X7)&![X12]:(~(subset(X12,X10))|in(X12,X11)))))&![X13]:((~(subset(X13,X7))|are_equipotent(X13,X7))|in(X13,X7))),inference(variable_rename,[status(thm)],[27])).
% fof(29, plain,![X6]:(((in(X6,esk2_1(X6))&![X8]:![X9]:((~(in(X8,esk2_1(X6)))|~(subset(X9,X8)))|in(X9,esk2_1(X6))))&![X10]:(~(in(X10,esk2_1(X6)))|(in(esk3_2(X6,X10),esk2_1(X6))&![X12]:(~(subset(X12,X10))|in(X12,esk3_2(X6,X10))))))&![X13]:((~(subset(X13,esk2_1(X6)))|are_equipotent(X13,esk2_1(X6)))|in(X13,esk2_1(X6)))),inference(skolemize,[status(esa)],[28])).
% fof(30, plain,![X6]:![X8]:![X9]:![X10]:![X12]:![X13]:(((~(subset(X13,esk2_1(X6)))|are_equipotent(X13,esk2_1(X6)))|in(X13,esk2_1(X6)))&((((~(subset(X12,X10))|in(X12,esk3_2(X6,X10)))&in(esk3_2(X6,X10),esk2_1(X6)))|~(in(X10,esk2_1(X6))))&(((~(in(X8,esk2_1(X6)))|~(subset(X9,X8)))|in(X9,esk2_1(X6)))&in(X6,esk2_1(X6))))),inference(shift_quantors,[status(thm)],[29])).
% fof(31, plain,![X6]:![X8]:![X9]:![X10]:![X12]:![X13]:(((~(subset(X13,esk2_1(X6)))|are_equipotent(X13,esk2_1(X6)))|in(X13,esk2_1(X6)))&((((~(subset(X12,X10))|in(X12,esk3_2(X6,X10)))|~(in(X10,esk2_1(X6))))&(in(esk3_2(X6,X10),esk2_1(X6))|~(in(X10,esk2_1(X6)))))&(((~(in(X8,esk2_1(X6)))|~(subset(X9,X8)))|in(X9,esk2_1(X6)))&in(X6,esk2_1(X6))))),inference(distribute,[status(thm)],[30])).
% cnf(32,plain,(in(X1,esk2_1(X1))),inference(split_conjunct,[status(thm)],[31])).
% cnf(33,plain,(in(X1,esk2_1(X2))|~subset(X1,X3)|~in(X3,esk2_1(X2))),inference(split_conjunct,[status(thm)],[31])).
% cnf(34,plain,(in(esk3_2(X2,X1),esk2_1(X2))|~in(X1,esk2_1(X2))),inference(split_conjunct,[status(thm)],[31])).
% cnf(35,plain,(in(X3,esk3_2(X2,X1))|~in(X1,esk2_1(X2))|~subset(X3,X1)),inference(split_conjunct,[status(thm)],[31])).
% cnf(36,plain,(in(X1,esk2_1(X2))|are_equipotent(X1,esk2_1(X2))|~subset(X1,esk2_1(X2))),inference(split_conjunct,[status(thm)],[31])).
% fof(37, plain,![X1]:![X2]:((~(X2=powerset(X1))|![X3]:((~(in(X3,X2))|subset(X3,X1))&(~(subset(X3,X1))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|~(subset(X3,X1)))&(in(X3,X2)|subset(X3,X1)))|X2=powerset(X1))),inference(fof_nnf,[status(thm)],[5])).
% fof(38, plain,![X4]:![X5]:((~(X5=powerset(X4))|![X6]:((~(in(X6,X5))|subset(X6,X4))&(~(subset(X6,X4))|in(X6,X5))))&(?[X7]:((~(in(X7,X5))|~(subset(X7,X4)))&(in(X7,X5)|subset(X7,X4)))|X5=powerset(X4))),inference(variable_rename,[status(thm)],[37])).
% fof(39, plain,![X4]:![X5]:((~(X5=powerset(X4))|![X6]:((~(in(X6,X5))|subset(X6,X4))&(~(subset(X6,X4))|in(X6,X5))))&(((~(in(esk4_2(X4,X5),X5))|~(subset(esk4_2(X4,X5),X4)))&(in(esk4_2(X4,X5),X5)|subset(esk4_2(X4,X5),X4)))|X5=powerset(X4))),inference(skolemize,[status(esa)],[38])).
% fof(40, plain,![X4]:![X5]:![X6]:((((~(in(X6,X5))|subset(X6,X4))&(~(subset(X6,X4))|in(X6,X5)))|~(X5=powerset(X4)))&(((~(in(esk4_2(X4,X5),X5))|~(subset(esk4_2(X4,X5),X4)))&(in(esk4_2(X4,X5),X5)|subset(esk4_2(X4,X5),X4)))|X5=powerset(X4))),inference(shift_quantors,[status(thm)],[39])).
% fof(41, plain,![X4]:![X5]:![X6]:((((~(in(X6,X5))|subset(X6,X4))|~(X5=powerset(X4)))&((~(subset(X6,X4))|in(X6,X5))|~(X5=powerset(X4))))&(((~(in(esk4_2(X4,X5),X5))|~(subset(esk4_2(X4,X5),X4)))|X5=powerset(X4))&((in(esk4_2(X4,X5),X5)|subset(esk4_2(X4,X5),X4))|X5=powerset(X4)))),inference(distribute,[status(thm)],[40])).
% cnf(45,plain,(subset(X3,X2)|X1!=powerset(X2)|~in(X3,X1)),inference(split_conjunct,[status(thm)],[41])).
% fof(52, negated_conjecture,?[X1]:![X2]:(((~(in(X1,X2))|?[X3]:?[X4]:((in(X3,X2)&subset(X4,X3))&~(in(X4,X2))))|?[X3]:(in(X3,X2)&~(in(powerset(X3),X2))))|?[X3]:((subset(X3,X2)&~(are_equipotent(X3,X2)))&~(in(X3,X2)))),inference(fof_nnf,[status(thm)],[13])).
% fof(53, negated_conjecture,?[X5]:![X6]:(((~(in(X5,X6))|?[X7]:?[X8]:((in(X7,X6)&subset(X8,X7))&~(in(X8,X6))))|?[X9]:(in(X9,X6)&~(in(powerset(X9),X6))))|?[X10]:((subset(X10,X6)&~(are_equipotent(X10,X6)))&~(in(X10,X6)))),inference(variable_rename,[status(thm)],[52])).
% fof(54, negated_conjecture,![X6]:(((~(in(esk7_0,X6))|((in(esk8_1(X6),X6)&subset(esk9_1(X6),esk8_1(X6)))&~(in(esk9_1(X6),X6))))|(in(esk10_1(X6),X6)&~(in(powerset(esk10_1(X6)),X6))))|((subset(esk11_1(X6),X6)&~(are_equipotent(esk11_1(X6),X6)))&~(in(esk11_1(X6),X6)))),inference(skolemize,[status(esa)],[53])).
% fof(55, negated_conjecture,![X6]:((((((subset(esk11_1(X6),X6)|(in(esk10_1(X6),X6)|(in(esk8_1(X6),X6)|~(in(esk7_0,X6)))))&(~(are_equipotent(esk11_1(X6),X6))|(in(esk10_1(X6),X6)|(in(esk8_1(X6),X6)|~(in(esk7_0,X6))))))&(~(in(esk11_1(X6),X6))|(in(esk10_1(X6),X6)|(in(esk8_1(X6),X6)|~(in(esk7_0,X6))))))&(((subset(esk11_1(X6),X6)|(~(in(powerset(esk10_1(X6)),X6))|(in(esk8_1(X6),X6)|~(in(esk7_0,X6)))))&(~(are_equipotent(esk11_1(X6),X6))|(~(in(powerset(esk10_1(X6)),X6))|(in(esk8_1(X6),X6)|~(in(esk7_0,X6))))))&(~(in(esk11_1(X6),X6))|(~(in(powerset(esk10_1(X6)),X6))|(in(esk8_1(X6),X6)|~(in(esk7_0,X6)))))))&((((subset(esk11_1(X6),X6)|(in(esk10_1(X6),X6)|(subset(esk9_1(X6),esk8_1(X6))|~(in(esk7_0,X6)))))&(~(are_equipotent(esk11_1(X6),X6))|(in(esk10_1(X6),X6)|(subset(esk9_1(X6),esk8_1(X6))|~(in(esk7_0,X6))))))&(~(in(esk11_1(X6),X6))|(in(esk10_1(X6),X6)|(subset(esk9_1(X6),esk8_1(X6))|~(in(esk7_0,X6))))))&(((subset(esk11_1(X6),X6)|(~(in(powerset(esk10_1(X6)),X6))|(subset(esk9_1(X6),esk8_1(X6))|~(in(esk7_0,X6)))))&(~(are_equipotent(esk11_1(X6),X6))|(~(in(powerset(esk10_1(X6)),X6))|(subset(esk9_1(X6),esk8_1(X6))|~(in(esk7_0,X6))))))&(~(in(esk11_1(X6),X6))|(~(in(powerset(esk10_1(X6)),X6))|(subset(esk9_1(X6),esk8_1(X6))|~(in(esk7_0,X6))))))))&((((subset(esk11_1(X6),X6)|(in(esk10_1(X6),X6)|(~(in(esk9_1(X6),X6))|~(in(esk7_0,X6)))))&(~(are_equipotent(esk11_1(X6),X6))|(in(esk10_1(X6),X6)|(~(in(esk9_1(X6),X6))|~(in(esk7_0,X6))))))&(~(in(esk11_1(X6),X6))|(in(esk10_1(X6),X6)|(~(in(esk9_1(X6),X6))|~(in(esk7_0,X6))))))&(((subset(esk11_1(X6),X6)|(~(in(powerset(esk10_1(X6)),X6))|(~(in(esk9_1(X6),X6))|~(in(esk7_0,X6)))))&(~(are_equipotent(esk11_1(X6),X6))|(~(in(powerset(esk10_1(X6)),X6))|(~(in(esk9_1(X6),X6))|~(in(esk7_0,X6))))))&(~(in(esk11_1(X6),X6))|(~(in(powerset(esk10_1(X6)),X6))|(~(in(esk9_1(X6),X6))|~(in(esk7_0,X6)))))))),inference(distribute,[status(thm)],[54])).
% cnf(56,negated_conjecture,(~in(esk7_0,X1)|~in(esk9_1(X1),X1)|~in(powerset(esk10_1(X1)),X1)|~in(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(57,negated_conjecture,(~in(esk7_0,X1)|~in(esk9_1(X1),X1)|~in(powerset(esk10_1(X1)),X1)|~are_equipotent(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(58,negated_conjecture,(subset(esk11_1(X1),X1)|~in(esk7_0,X1)|~in(esk9_1(X1),X1)|~in(powerset(esk10_1(X1)),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(59,negated_conjecture,(in(esk10_1(X1),X1)|~in(esk7_0,X1)|~in(esk9_1(X1),X1)|~in(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(60,negated_conjecture,(in(esk10_1(X1),X1)|~in(esk7_0,X1)|~in(esk9_1(X1),X1)|~are_equipotent(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(61,negated_conjecture,(in(esk10_1(X1),X1)|subset(esk11_1(X1),X1)|~in(esk7_0,X1)|~in(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(62,negated_conjecture,(subset(esk9_1(X1),esk8_1(X1))|~in(esk7_0,X1)|~in(powerset(esk10_1(X1)),X1)|~in(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(63,negated_conjecture,(subset(esk9_1(X1),esk8_1(X1))|~in(esk7_0,X1)|~in(powerset(esk10_1(X1)),X1)|~are_equipotent(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(64,negated_conjecture,(subset(esk9_1(X1),esk8_1(X1))|subset(esk11_1(X1),X1)|~in(esk7_0,X1)|~in(powerset(esk10_1(X1)),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(65,negated_conjecture,(subset(esk9_1(X1),esk8_1(X1))|in(esk10_1(X1),X1)|~in(esk7_0,X1)|~in(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(66,negated_conjecture,(subset(esk9_1(X1),esk8_1(X1))|in(esk10_1(X1),X1)|~in(esk7_0,X1)|~are_equipotent(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(67,negated_conjecture,(subset(esk9_1(X1),esk8_1(X1))|in(esk10_1(X1),X1)|subset(esk11_1(X1),X1)|~in(esk7_0,X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(68,negated_conjecture,(in(esk8_1(X1),X1)|~in(esk7_0,X1)|~in(powerset(esk10_1(X1)),X1)|~in(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(69,negated_conjecture,(in(esk8_1(X1),X1)|~in(esk7_0,X1)|~in(powerset(esk10_1(X1)),X1)|~are_equipotent(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(70,negated_conjecture,(in(esk8_1(X1),X1)|subset(esk11_1(X1),X1)|~in(esk7_0,X1)|~in(powerset(esk10_1(X1)),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(71,negated_conjecture,(in(esk8_1(X1),X1)|in(esk10_1(X1),X1)|~in(esk7_0,X1)|~in(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(72,negated_conjecture,(in(esk8_1(X1),X1)|in(esk10_1(X1),X1)|~in(esk7_0,X1)|~are_equipotent(esk11_1(X1),X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(73,negated_conjecture,(in(esk8_1(X1),X1)|in(esk10_1(X1),X1)|subset(esk11_1(X1),X1)|~in(esk7_0,X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(80,plain,(subset(X1,X2)|~in(X1,powerset(X2))),inference(er,[status(thm)],[45,theory(equality)])).
% cnf(83,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[73,32,theory(equality)])).
% cnf(84,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[71,32,theory(equality)])).
% cnf(85,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[72,32,theory(equality)])).
% cnf(86,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[61,32,theory(equality)])).
% cnf(87,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[59,32,theory(equality)])).
% cnf(88,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[60,32,theory(equality)])).
% cnf(89,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))),inference(spm,[status(thm)],[69,32,theory(equality)])).
% cnf(94,negated_conjecture,(~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[57,32,theory(equality)])).
% cnf(95,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[67,32,theory(equality)])).
% cnf(96,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[65,32,theory(equality)])).
% cnf(97,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[66,32,theory(equality)])).
% cnf(98,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))),inference(spm,[status(thm)],[70,32,theory(equality)])).
% cnf(99,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[68,32,theory(equality)])).
% cnf(100,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[58,32,theory(equality)])).
% cnf(108,negated_conjecture,(~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[56,32,theory(equality)])).
% cnf(109,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))),inference(spm,[status(thm)],[64,32,theory(equality)])).
% cnf(110,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[62,32,theory(equality)])).
% cnf(111,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))),inference(spm,[status(thm)],[63,32,theory(equality)])).
% cnf(135,plain,(subset(esk1_2(powerset(X1),X2),X1)|subset(powerset(X1),X2)),inference(spm,[status(thm)],[80,23,theory(equality)])).
% cnf(157,negated_conjecture,(in(X1,esk2_1(esk7_0))|subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~subset(X1,esk8_1(esk2_1(esk7_0)))),inference(spm,[status(thm)],[33,83,theory(equality)])).
% cnf(759,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[157,95,theory(equality)])).
% cnf(3240,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[759,86])).
% cnf(3245,negated_conjecture,(are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[36,3240,theory(equality)])).
% cnf(3381,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[85,3245,theory(equality)])).
% cnf(3382,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[88,3245,theory(equality)])).
% cnf(3385,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[97,3245,theory(equality)])).
% cnf(3387,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[3381,84])).
% cnf(3389,negated_conjecture,(in(X1,esk2_1(esk7_0))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~subset(X1,esk8_1(esk2_1(esk7_0)))),inference(spm,[status(thm)],[33,3387,theory(equality)])).
% cnf(5534,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[3385,96])).
% cnf(5866,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[3389,5534,theory(equality)])).
% cnf(5890,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[87,5866,theory(equality)])).
% cnf(33123,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[3382,5866])).
% cnf(33124,negated_conjecture,(in(esk10_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[33123,5890])).
% cnf(33127,negated_conjecture,(in(X1,esk3_2(esk7_0,esk10_1(esk2_1(esk7_0))))|~subset(X1,esk10_1(esk2_1(esk7_0)))),inference(spm,[status(thm)],[35,33124,theory(equality)])).
% cnf(33128,negated_conjecture,(in(esk3_2(esk7_0,esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))),inference(spm,[status(thm)],[34,33124,theory(equality)])).
% cnf(33274,negated_conjecture,(in(X1,esk2_1(esk7_0))|~subset(X1,esk3_2(esk7_0,esk10_1(esk2_1(esk7_0))))),inference(spm,[status(thm)],[33,33128,theory(equality)])).
% cnf(33582,negated_conjecture,(in(esk1_2(powerset(esk10_1(esk2_1(esk7_0))),X1),esk3_2(esk7_0,esk10_1(esk2_1(esk7_0))))|subset(powerset(esk10_1(esk2_1(esk7_0))),X1)),inference(spm,[status(thm)],[33127,135,theory(equality)])).
% cnf(33826,negated_conjecture,(subset(powerset(esk10_1(esk2_1(esk7_0))),esk3_2(esk7_0,esk10_1(esk2_1(esk7_0))))),inference(spm,[status(thm)],[22,33582,theory(equality)])).
% cnf(33831,negated_conjecture,(in(powerset(esk10_1(esk2_1(esk7_0))),esk2_1(esk7_0))),inference(spm,[status(thm)],[33274,33826,theory(equality)])).
% cnf(34126,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|$false),inference(rw,[status(thm)],[111,33831,theory(equality)])).
% cnf(34127,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34126,theory(equality)])).
% cnf(34128,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|$false|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(rw,[status(thm)],[110,33831,theory(equality)])).
% cnf(34129,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34128,theory(equality)])).
% cnf(34130,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|$false),inference(rw,[status(thm)],[109,33831,theory(equality)])).
% cnf(34131,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34130,theory(equality)])).
% cnf(34132,negated_conjecture,($false|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(rw,[status(thm)],[108,33831,theory(equality)])).
% cnf(34133,negated_conjecture,(~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34132,theory(equality)])).
% cnf(34134,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|$false|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(rw,[status(thm)],[100,33831,theory(equality)])).
% cnf(34135,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34134,theory(equality)])).
% cnf(34136,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|$false|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(rw,[status(thm)],[99,33831,theory(equality)])).
% cnf(34137,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34136,theory(equality)])).
% cnf(34138,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|$false),inference(rw,[status(thm)],[98,33831,theory(equality)])).
% cnf(34139,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34138,theory(equality)])).
% cnf(34140,negated_conjecture,(~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|$false|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(rw,[status(thm)],[94,33831,theory(equality)])).
% cnf(34141,negated_conjecture,(~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34140,theory(equality)])).
% cnf(34142,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|$false),inference(rw,[status(thm)],[89,33831,theory(equality)])).
% cnf(34143,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(cn,[status(thm)],[34142,theory(equality)])).
% cnf(34218,negated_conjecture,(in(X1,esk2_1(esk7_0))|subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~subset(X1,esk8_1(esk2_1(esk7_0)))),inference(spm,[status(thm)],[33,34139,theory(equality)])).
% cnf(36797,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[34218,34131,theory(equality)])).
% cnf(36851,negated_conjecture,(subset(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[36797,34135])).
% cnf(36856,negated_conjecture,(are_equipotent(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[36,36851,theory(equality)])).
% cnf(37541,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[34143,36856,theory(equality)])).
% cnf(37542,negated_conjecture,(in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))|~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[34141,36856,theory(equality)])).
% cnf(37543,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))|in(esk11_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[34127,36856,theory(equality)])).
% cnf(37544,negated_conjecture,(in(esk8_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[37541,34137])).
% cnf(37546,negated_conjecture,(in(X1,esk2_1(esk7_0))|~subset(X1,esk8_1(esk2_1(esk7_0)))),inference(spm,[status(thm)],[33,37544,theory(equality)])).
% cnf(37672,negated_conjecture,(~in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(csr,[status(thm)],[37542,34133])).
% cnf(37733,negated_conjecture,(subset(esk9_1(esk2_1(esk7_0)),esk8_1(esk2_1(esk7_0)))),inference(csr,[status(thm)],[37543,34129])).
% cnf(37738,negated_conjecture,(in(esk9_1(esk2_1(esk7_0)),esk2_1(esk7_0))),inference(spm,[status(thm)],[37546,37733,theory(equality)])).
% cnf(37741,negated_conjecture,($false),inference(sr,[status(thm)],[37738,37672,theory(equality)])).
% cnf(37742,negated_conjecture,($false),37741,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3391
% # ...of these trivial : 115
% # ...subsumed : 417
% # ...remaining for further processing: 2859
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 30
% # Backward-rewritten : 89
% # Generated clauses : 37121
% # ...of the previous two non-trivial : 36830
% # Contextual simplify-reflections : 44
% # Paramodulations : 37017
% # Factorizations : 102
% # Equation resolutions : 2
% # Current number of processed clauses: 2706
% # Positive orientable unit clauses: 448
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 384
% # Non-unit-clauses : 1874
% # Current number of unprocessed clauses: 33006
% # ...number of literals in the above : 134816
% # Clause-clause subsumption calls (NU) : 98711
% # Rec. Clause-clause subsumption calls : 52969
% # Unit Clause-clause subsumption calls : 11897
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6164
% # Indexed BW rewrite successes : 15
% # Backwards rewriting index: 1094 leaves, 3.04+/-5.886 terms/leaf
% # Paramod-from index: 374 leaves, 3.16+/-6.538 terms/leaf
% # Paramod-into index: 1021 leaves, 3.00+/-5.963 terms/leaf
% # -------------------------------------------------
% # User time : 2.391 s
% # System time : 0.050 s
% # Total time : 2.441 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.08 CPU 3.26 WC
% FINAL PrfWatch: 3.08 CPU 3.26 WC
% SZS output end Solution for /tmp/SystemOnTPTP23337/SEU168+3.tptp
%
%------------------------------------------------------------------------------