TSTP Solution File: SEU168+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU168+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 01:24:10 EST 2010
% Result : Theorem 3.50s
% Output : Solution 3.50s
% 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/SystemOnTPTP22226/SEU168+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP22226/SEU168+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22226/SEU168+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 22322
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% # Preprocessing time : 0.014 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(7, 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(8, 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)],[7])).
% fof(10, 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(11, 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)],[8,theory(equality)])).
% fof(15, 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(16, 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)],[15])).
% fof(17, 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)],[16])).
% fof(18, 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)],[17])).
% fof(19, 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)],[18])).
% cnf(20,plain,(subset(X1,X2)|~in(esk1_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(21,plain,(subset(X1,X2)|in(esk1_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[19])).
% fof(25, 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)],[10])).
% fof(26, 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)],[25])).
% fof(27, 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)],[26])).
% fof(28, 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)],[27])).
% fof(29, 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)],[28])).
% cnf(30,plain,(in(X1,esk2_1(X1))),inference(split_conjunct,[status(thm)],[29])).
% cnf(31,plain,(in(X1,esk2_1(X2))|~subset(X1,X3)|~in(X3,esk2_1(X2))),inference(split_conjunct,[status(thm)],[29])).
% cnf(32,plain,(in(esk3_2(X2,X1),esk2_1(X2))|~in(X1,esk2_1(X2))),inference(split_conjunct,[status(thm)],[29])).
% cnf(33,plain,(in(X3,esk3_2(X2,X1))|~in(X1,esk2_1(X2))|~subset(X3,X1)),inference(split_conjunct,[status(thm)],[29])).
% cnf(34,plain,(in(X1,esk2_1(X2))|are_equipotent(X1,esk2_1(X2))|~subset(X1,esk2_1(X2))),inference(split_conjunct,[status(thm)],[29])).
% fof(35, 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(36, 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)],[35])).
% fof(37, 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)],[36])).
% fof(38, 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)],[37])).
% fof(39, 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)],[38])).
% cnf(43,plain,(subset(X3,X2)|X1!=powerset(X2)|~in(X3,X1)),inference(split_conjunct,[status(thm)],[39])).
% fof(45, 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)],[11])).
% fof(46, 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)],[45])).
% fof(47, negated_conjecture,![X6]:(((~(in(esk5_0,X6))|((in(esk6_1(X6),X6)&subset(esk7_1(X6),esk6_1(X6)))&~(in(esk7_1(X6),X6))))|(in(esk8_1(X6),X6)&~(in(powerset(esk8_1(X6)),X6))))|((subset(esk9_1(X6),X6)&~(are_equipotent(esk9_1(X6),X6)))&~(in(esk9_1(X6),X6)))),inference(skolemize,[status(esa)],[46])).
% fof(48, negated_conjecture,![X6]:((((((subset(esk9_1(X6),X6)|(in(esk8_1(X6),X6)|(in(esk6_1(X6),X6)|~(in(esk5_0,X6)))))&(~(are_equipotent(esk9_1(X6),X6))|(in(esk8_1(X6),X6)|(in(esk6_1(X6),X6)|~(in(esk5_0,X6))))))&(~(in(esk9_1(X6),X6))|(in(esk8_1(X6),X6)|(in(esk6_1(X6),X6)|~(in(esk5_0,X6))))))&(((subset(esk9_1(X6),X6)|(~(in(powerset(esk8_1(X6)),X6))|(in(esk6_1(X6),X6)|~(in(esk5_0,X6)))))&(~(are_equipotent(esk9_1(X6),X6))|(~(in(powerset(esk8_1(X6)),X6))|(in(esk6_1(X6),X6)|~(in(esk5_0,X6))))))&(~(in(esk9_1(X6),X6))|(~(in(powerset(esk8_1(X6)),X6))|(in(esk6_1(X6),X6)|~(in(esk5_0,X6)))))))&((((subset(esk9_1(X6),X6)|(in(esk8_1(X6),X6)|(subset(esk7_1(X6),esk6_1(X6))|~(in(esk5_0,X6)))))&(~(are_equipotent(esk9_1(X6),X6))|(in(esk8_1(X6),X6)|(subset(esk7_1(X6),esk6_1(X6))|~(in(esk5_0,X6))))))&(~(in(esk9_1(X6),X6))|(in(esk8_1(X6),X6)|(subset(esk7_1(X6),esk6_1(X6))|~(in(esk5_0,X6))))))&(((subset(esk9_1(X6),X6)|(~(in(powerset(esk8_1(X6)),X6))|(subset(esk7_1(X6),esk6_1(X6))|~(in(esk5_0,X6)))))&(~(are_equipotent(esk9_1(X6),X6))|(~(in(powerset(esk8_1(X6)),X6))|(subset(esk7_1(X6),esk6_1(X6))|~(in(esk5_0,X6))))))&(~(in(esk9_1(X6),X6))|(~(in(powerset(esk8_1(X6)),X6))|(subset(esk7_1(X6),esk6_1(X6))|~(in(esk5_0,X6))))))))&((((subset(esk9_1(X6),X6)|(in(esk8_1(X6),X6)|(~(in(esk7_1(X6),X6))|~(in(esk5_0,X6)))))&(~(are_equipotent(esk9_1(X6),X6))|(in(esk8_1(X6),X6)|(~(in(esk7_1(X6),X6))|~(in(esk5_0,X6))))))&(~(in(esk9_1(X6),X6))|(in(esk8_1(X6),X6)|(~(in(esk7_1(X6),X6))|~(in(esk5_0,X6))))))&(((subset(esk9_1(X6),X6)|(~(in(powerset(esk8_1(X6)),X6))|(~(in(esk7_1(X6),X6))|~(in(esk5_0,X6)))))&(~(are_equipotent(esk9_1(X6),X6))|(~(in(powerset(esk8_1(X6)),X6))|(~(in(esk7_1(X6),X6))|~(in(esk5_0,X6))))))&(~(in(esk9_1(X6),X6))|(~(in(powerset(esk8_1(X6)),X6))|(~(in(esk7_1(X6),X6))|~(in(esk5_0,X6)))))))),inference(distribute,[status(thm)],[47])).
% cnf(49,negated_conjecture,(~in(esk5_0,X1)|~in(esk7_1(X1),X1)|~in(powerset(esk8_1(X1)),X1)|~in(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,negated_conjecture,(~in(esk5_0,X1)|~in(esk7_1(X1),X1)|~in(powerset(esk8_1(X1)),X1)|~are_equipotent(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(51,negated_conjecture,(subset(esk9_1(X1),X1)|~in(esk5_0,X1)|~in(esk7_1(X1),X1)|~in(powerset(esk8_1(X1)),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(52,negated_conjecture,(in(esk8_1(X1),X1)|~in(esk5_0,X1)|~in(esk7_1(X1),X1)|~in(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(53,negated_conjecture,(in(esk8_1(X1),X1)|~in(esk5_0,X1)|~in(esk7_1(X1),X1)|~are_equipotent(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(54,negated_conjecture,(in(esk8_1(X1),X1)|subset(esk9_1(X1),X1)|~in(esk5_0,X1)|~in(esk7_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(55,negated_conjecture,(subset(esk7_1(X1),esk6_1(X1))|~in(esk5_0,X1)|~in(powerset(esk8_1(X1)),X1)|~in(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(56,negated_conjecture,(subset(esk7_1(X1),esk6_1(X1))|~in(esk5_0,X1)|~in(powerset(esk8_1(X1)),X1)|~are_equipotent(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(57,negated_conjecture,(subset(esk7_1(X1),esk6_1(X1))|subset(esk9_1(X1),X1)|~in(esk5_0,X1)|~in(powerset(esk8_1(X1)),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(58,negated_conjecture,(subset(esk7_1(X1),esk6_1(X1))|in(esk8_1(X1),X1)|~in(esk5_0,X1)|~in(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(59,negated_conjecture,(subset(esk7_1(X1),esk6_1(X1))|in(esk8_1(X1),X1)|~in(esk5_0,X1)|~are_equipotent(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(60,negated_conjecture,(subset(esk7_1(X1),esk6_1(X1))|in(esk8_1(X1),X1)|subset(esk9_1(X1),X1)|~in(esk5_0,X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(61,negated_conjecture,(in(esk6_1(X1),X1)|~in(esk5_0,X1)|~in(powerset(esk8_1(X1)),X1)|~in(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(62,negated_conjecture,(in(esk6_1(X1),X1)|~in(esk5_0,X1)|~in(powerset(esk8_1(X1)),X1)|~are_equipotent(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(63,negated_conjecture,(in(esk6_1(X1),X1)|subset(esk9_1(X1),X1)|~in(esk5_0,X1)|~in(powerset(esk8_1(X1)),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(64,negated_conjecture,(in(esk6_1(X1),X1)|in(esk8_1(X1),X1)|~in(esk5_0,X1)|~in(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(65,negated_conjecture,(in(esk6_1(X1),X1)|in(esk8_1(X1),X1)|~in(esk5_0,X1)|~are_equipotent(esk9_1(X1),X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(66,negated_conjecture,(in(esk6_1(X1),X1)|in(esk8_1(X1),X1)|subset(esk9_1(X1),X1)|~in(esk5_0,X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(72,plain,(subset(X1,X2)|~in(X1,powerset(X2))),inference(er,[status(thm)],[43,theory(equality)])).
% cnf(74,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[66,30,theory(equality)])).
% cnf(75,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[64,30,theory(equality)])).
% cnf(76,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[65,30,theory(equality)])).
% cnf(80,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[54,30,theory(equality)])).
% cnf(81,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[52,30,theory(equality)])).
% cnf(82,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[53,30,theory(equality)])).
% cnf(83,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))),inference(spm,[status(thm)],[62,30,theory(equality)])).
% cnf(84,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[60,30,theory(equality)])).
% cnf(85,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[58,30,theory(equality)])).
% cnf(86,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[59,30,theory(equality)])).
% cnf(91,negated_conjecture,(~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[50,30,theory(equality)])).
% cnf(92,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))),inference(spm,[status(thm)],[63,30,theory(equality)])).
% cnf(93,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[61,30,theory(equality)])).
% cnf(94,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[51,30,theory(equality)])).
% cnf(95,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))),inference(spm,[status(thm)],[57,30,theory(equality)])).
% cnf(96,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[55,30,theory(equality)])).
% cnf(97,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))),inference(spm,[status(thm)],[56,30,theory(equality)])).
% cnf(105,negated_conjecture,(~in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[49,30,theory(equality)])).
% cnf(128,plain,(subset(esk1_2(powerset(X1),X2),X1)|subset(powerset(X1),X2)),inference(spm,[status(thm)],[72,21,theory(equality)])).
% cnf(132,negated_conjecture,(in(X1,esk2_1(esk5_0))|subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~subset(X1,esk6_1(esk2_1(esk5_0)))),inference(spm,[status(thm)],[31,74,theory(equality)])).
% cnf(658,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[132,84,theory(equality)])).
% cnf(3295,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[658,80])).
% cnf(3300,negated_conjecture,(are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[34,3295,theory(equality)])).
% cnf(3514,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[76,3300,theory(equality)])).
% cnf(3515,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[82,3300,theory(equality)])).
% cnf(3517,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[86,3300,theory(equality)])).
% cnf(3520,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[3514,75])).
% cnf(3522,negated_conjecture,(in(X1,esk2_1(esk5_0))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~subset(X1,esk6_1(esk2_1(esk5_0)))),inference(spm,[status(thm)],[31,3520,theory(equality)])).
% cnf(5345,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[3517,85])).
% cnf(5598,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[3522,5345,theory(equality)])).
% cnf(5659,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[81,5598,theory(equality)])).
% cnf(29164,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[3515,5598])).
% cnf(29165,negated_conjecture,(in(esk8_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[29164,5659])).
% cnf(29168,negated_conjecture,(in(X1,esk3_2(esk5_0,esk8_1(esk2_1(esk5_0))))|~subset(X1,esk8_1(esk2_1(esk5_0)))),inference(spm,[status(thm)],[33,29165,theory(equality)])).
% cnf(29169,negated_conjecture,(in(esk3_2(esk5_0,esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))),inference(spm,[status(thm)],[32,29165,theory(equality)])).
% cnf(29293,negated_conjecture,(in(X1,esk2_1(esk5_0))|~subset(X1,esk3_2(esk5_0,esk8_1(esk2_1(esk5_0))))),inference(spm,[status(thm)],[31,29169,theory(equality)])).
% cnf(29668,negated_conjecture,(in(esk1_2(powerset(esk8_1(esk2_1(esk5_0))),X1),esk3_2(esk5_0,esk8_1(esk2_1(esk5_0))))|subset(powerset(esk8_1(esk2_1(esk5_0))),X1)),inference(spm,[status(thm)],[29168,128,theory(equality)])).
% cnf(29836,negated_conjecture,(subset(powerset(esk8_1(esk2_1(esk5_0))),esk3_2(esk5_0,esk8_1(esk2_1(esk5_0))))),inference(spm,[status(thm)],[20,29668,theory(equality)])).
% cnf(29841,negated_conjecture,(in(powerset(esk8_1(esk2_1(esk5_0))),esk2_1(esk5_0))),inference(spm,[status(thm)],[29293,29836,theory(equality)])).
% cnf(29847,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|$false),inference(rw,[status(thm)],[97,29841,theory(equality)])).
% cnf(29848,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29847,theory(equality)])).
% cnf(29849,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|$false|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(rw,[status(thm)],[96,29841,theory(equality)])).
% cnf(29850,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29849,theory(equality)])).
% cnf(29851,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|$false),inference(rw,[status(thm)],[95,29841,theory(equality)])).
% cnf(29852,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29851,theory(equality)])).
% cnf(29853,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|$false|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(rw,[status(thm)],[94,29841,theory(equality)])).
% cnf(29854,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29853,theory(equality)])).
% cnf(29855,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|$false|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(rw,[status(thm)],[93,29841,theory(equality)])).
% cnf(29856,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29855,theory(equality)])).
% cnf(29857,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|$false),inference(rw,[status(thm)],[92,29841,theory(equality)])).
% cnf(29858,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29857,theory(equality)])).
% cnf(29859,negated_conjecture,(~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|$false|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(rw,[status(thm)],[91,29841,theory(equality)])).
% cnf(29860,negated_conjecture,(~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29859,theory(equality)])).
% cnf(29861,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|$false),inference(rw,[status(thm)],[83,29841,theory(equality)])).
% cnf(29862,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29861,theory(equality)])).
% cnf(29863,negated_conjecture,($false|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(rw,[status(thm)],[105,29841,theory(equality)])).
% cnf(29864,negated_conjecture,(~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(cn,[status(thm)],[29863,theory(equality)])).
% cnf(29936,negated_conjecture,(in(X1,esk2_1(esk5_0))|subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~subset(X1,esk6_1(esk2_1(esk5_0)))),inference(spm,[status(thm)],[31,29858,theory(equality)])).
% cnf(32586,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[29936,29852,theory(equality)])).
% cnf(32636,negated_conjecture,(subset(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[32586,29854])).
% cnf(32641,negated_conjecture,(are_equipotent(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[34,32636,theory(equality)])).
% cnf(32843,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[29862,32641,theory(equality)])).
% cnf(32844,negated_conjecture,(in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))|~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[29860,32641,theory(equality)])).
% cnf(32845,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))|in(esk9_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[29848,32641,theory(equality)])).
% cnf(32846,negated_conjecture,(in(esk6_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[32843,29856])).
% cnf(32848,negated_conjecture,(in(X1,esk2_1(esk5_0))|~subset(X1,esk6_1(esk2_1(esk5_0)))),inference(spm,[status(thm)],[31,32846,theory(equality)])).
% cnf(32915,negated_conjecture,(~in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(csr,[status(thm)],[32844,29864])).
% cnf(32920,negated_conjecture,(subset(esk7_1(esk2_1(esk5_0)),esk6_1(esk2_1(esk5_0)))),inference(csr,[status(thm)],[32845,29850])).
% cnf(32925,negated_conjecture,(in(esk7_1(esk2_1(esk5_0)),esk2_1(esk5_0))),inference(spm,[status(thm)],[32848,32920,theory(equality)])).
% cnf(32928,negated_conjecture,($false),inference(sr,[status(thm)],[32925,32915,theory(equality)])).
% cnf(32929,negated_conjecture,($false),32928,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3165
% # ...of these trivial : 106
% # ...subsumed : 391
% # ...remaining for further processing: 2668
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 29
% # Backward-rewritten : 89
% # Generated clauses : 32342
% # ...of the previous two non-trivial : 32068
% # Contextual simplify-reflections : 43
% # Paramodulations : 32248
% # Factorizations : 92
% # Equation resolutions : 2
% # Current number of processed clauses: 2518
% # Positive orientable unit clauses: 422
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 362
% # Non-unit-clauses : 1734
% # Current number of unprocessed clauses: 28485
% # ...number of literals in the above : 116595
% # Clause-clause subsumption calls (NU) : 87310
% # Rec. Clause-clause subsumption calls : 47436
% # Unit Clause-clause subsumption calls : 11132
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 5398
% # Indexed BW rewrite successes : 15
% # Backwards rewriting index: 1082 leaves, 2.84+/-5.470 terms/leaf
% # Paramod-from index: 371 leaves, 2.93+/-6.060 terms/leaf
% # Paramod-into index: 1009 leaves, 2.79+/-5.541 terms/leaf
% # -------------------------------------------------
% # User time : 2.074 s
% # System time : 0.061 s
% # Total time : 2.135 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.71 CPU 2.82 WC
% FINAL PrfWatch: 2.71 CPU 2.82 WC
% SZS output end Solution for /tmp/SystemOnTPTP22226/SEU168+1.tptp
%
%------------------------------------------------------------------------------