TSTP Solution File: SEU298+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU298+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 : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 03:12:17 EST 2010
% Result : Theorem 1.54s
% Output : Solution 1.54s
% 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/SystemOnTPTP5054/SEU298+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP5054/SEU298+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP5054/SEU298+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 5150
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 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]:((ordinal(X1)&element(X2,powerset(powerset(succ(X1)))))=>(![X3]:![X4]:![X5]:((((X3=X4&?[X6]:(in(X6,X2)&X4=set_difference(X6,singleton(X1))))&X3=X5)&?[X7]:(in(X7,X2)&X5=set_difference(X7,singleton(X1))))=>X4=X5)=>?[X3]:![X4]:(in(X4,X3)<=>?[X5]:((in(X5,powerset(X1))&X5=X4)&?[X8]:(in(X8,X2)&X4=set_difference(X8,singleton(X1))))))),file('/tmp/SRASS.s.p', s1_tarski__e4_27_3_1__finset_1__1)).
% fof(42, conjecture,![X1]:![X2]:((ordinal(X1)&element(X2,powerset(powerset(succ(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(X1))&?[X5]:(in(X5,X2)&X4=set_difference(X5,singleton(X1)))))),file('/tmp/SRASS.s.p', s1_xboole_0__e4_27_3_1__finset_1)).
% fof(43, negated_conjecture,~(![X1]:![X2]:((ordinal(X1)&element(X2,powerset(powerset(succ(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(X1))&?[X5]:(in(X5,X2)&X4=set_difference(X5,singleton(X1))))))),inference(assume_negation,[status(cth)],[42])).
% fof(61, plain,![X1]:![X2]:((~(ordinal(X1))|~(element(X2,powerset(powerset(succ(X1))))))|(?[X3]:?[X4]:?[X5]:((((X3=X4&?[X6]:(in(X6,X2)&X4=set_difference(X6,singleton(X1))))&X3=X5)&?[X7]:(in(X7,X2)&X5=set_difference(X7,singleton(X1))))&~(X4=X5))|?[X3]:![X4]:((~(in(X4,X3))|?[X5]:((in(X5,powerset(X1))&X5=X4)&?[X8]:(in(X8,X2)&X4=set_difference(X8,singleton(X1)))))&(![X5]:((~(in(X5,powerset(X1)))|~(X5=X4))|![X8]:(~(in(X8,X2))|~(X4=set_difference(X8,singleton(X1)))))|in(X4,X3))))),inference(fof_nnf,[status(thm)],[2])).
% fof(62, plain,![X9]:![X10]:((~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))|(?[X11]:?[X12]:?[X13]:((((X11=X12&?[X14]:(in(X14,X10)&X12=set_difference(X14,singleton(X9))))&X11=X13)&?[X15]:(in(X15,X10)&X13=set_difference(X15,singleton(X9))))&~(X12=X13))|?[X16]:![X17]:((~(in(X17,X16))|?[X18]:((in(X18,powerset(X9))&X18=X17)&?[X19]:(in(X19,X10)&X17=set_difference(X19,singleton(X9)))))&(![X20]:((~(in(X20,powerset(X9)))|~(X20=X17))|![X21]:(~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9)))))|in(X17,X16))))),inference(variable_rename,[status(thm)],[61])).
% fof(63, plain,![X9]:![X10]:((~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))|(((((esk1_2(X9,X10)=esk2_2(X9,X10)&(in(esk4_2(X9,X10),X10)&esk2_2(X9,X10)=set_difference(esk4_2(X9,X10),singleton(X9))))&esk1_2(X9,X10)=esk3_2(X9,X10))&(in(esk5_2(X9,X10),X10)&esk3_2(X9,X10)=set_difference(esk5_2(X9,X10),singleton(X9))))&~(esk2_2(X9,X10)=esk3_2(X9,X10)))|![X17]:((~(in(X17,esk6_2(X9,X10)))|((in(esk7_3(X9,X10,X17),powerset(X9))&esk7_3(X9,X10,X17)=X17)&(in(esk8_3(X9,X10,X17),X10)&X17=set_difference(esk8_3(X9,X10,X17),singleton(X9)))))&(![X20]:((~(in(X20,powerset(X9)))|~(X20=X17))|![X21]:(~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9)))))|in(X17,esk6_2(X9,X10)))))),inference(skolemize,[status(esa)],[62])).
% fof(64, plain,![X9]:![X10]:![X17]:![X20]:![X21]:((((((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10)))&(~(in(X17,esk6_2(X9,X10)))|((in(esk7_3(X9,X10,X17),powerset(X9))&esk7_3(X9,X10,X17)=X17)&(in(esk8_3(X9,X10,X17),X10)&X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))))))|((((esk1_2(X9,X10)=esk2_2(X9,X10)&(in(esk4_2(X9,X10),X10)&esk2_2(X9,X10)=set_difference(esk4_2(X9,X10),singleton(X9))))&esk1_2(X9,X10)=esk3_2(X9,X10))&(in(esk5_2(X9,X10),X10)&esk3_2(X9,X10)=set_difference(esk5_2(X9,X10),singleton(X9))))&~(esk2_2(X9,X10)=esk3_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))),inference(shift_quantors,[status(thm)],[63])).
% fof(65, plain,![X9]:![X10]:![X17]:![X20]:![X21]:(((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&(((in(esk4_2(X9,X10),X10)|(((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk2_2(X9,X10)=set_difference(esk4_2(X9,X10),singleton(X9))|(((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&(((in(esk5_2(X9,X10),X10)|(((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk3_2(X9,X10)=set_difference(esk5_2(X9,X10),singleton(X9))|(((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(((~(in(X21,X10))|~(X17=set_difference(X21,singleton(X9))))|(~(in(X20,powerset(X9)))|~(X20=X17)))|in(X17,esk6_2(X9,X10))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&((((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(in(esk7_3(X9,X10,X17),powerset(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&(((in(esk4_2(X9,X10),X10)|(in(esk7_3(X9,X10,X17),powerset(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk2_2(X9,X10)=set_difference(esk4_2(X9,X10),singleton(X9))|(in(esk7_3(X9,X10,X17),powerset(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(in(esk7_3(X9,X10,X17),powerset(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&(((in(esk5_2(X9,X10),X10)|(in(esk7_3(X9,X10,X17),powerset(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk3_2(X9,X10)=set_difference(esk5_2(X9,X10),singleton(X9))|(in(esk7_3(X9,X10,X17),powerset(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(in(esk7_3(X9,X10,X17),powerset(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&(((in(esk4_2(X9,X10),X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk2_2(X9,X10)=set_difference(esk4_2(X9,X10),singleton(X9))|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&(((in(esk5_2(X9,X10),X10)|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk3_2(X9,X10)=set_difference(esk5_2(X9,X10),singleton(X9))|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(esk7_3(X9,X10,X17)=X17|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&(((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(in(esk8_3(X9,X10,X17),X10)|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&(((in(esk4_2(X9,X10),X10)|(in(esk8_3(X9,X10,X17),X10)|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk2_2(X9,X10)=set_difference(esk4_2(X9,X10),singleton(X9))|(in(esk8_3(X9,X10,X17),X10)|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(in(esk8_3(X9,X10,X17),X10)|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&(((in(esk5_2(X9,X10),X10)|(in(esk8_3(X9,X10,X17),X10)|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk3_2(X9,X10)=set_difference(esk5_2(X9,X10),singleton(X9))|(in(esk8_3(X9,X10,X17),X10)|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(in(esk8_3(X9,X10,X17),X10)|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&((((((esk1_2(X9,X10)=esk2_2(X9,X10)|(X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&(((in(esk4_2(X9,X10),X10)|(X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk2_2(X9,X10)=set_difference(esk4_2(X9,X10),singleton(X9))|(X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((esk1_2(X9,X10)=esk3_2(X9,X10)|(X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))&(((in(esk5_2(X9,X10),X10)|(X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))&((esk3_2(X9,X10)=set_difference(esk5_2(X9,X10),singleton(X9))|(X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9)))))))))&((~(esk2_2(X9,X10)=esk3_2(X9,X10))|(X17=set_difference(esk8_3(X9,X10,X17),singleton(X9))|~(in(X17,esk6_2(X9,X10)))))|(~(ordinal(X9))|~(element(X10,powerset(powerset(succ(X9))))))))))),inference(distribute,[status(thm)],[64])).
% cnf(66,plain,(X3=set_difference(esk8_3(X2,X1,X3),singleton(X2))|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(69,plain,(X3=set_difference(esk8_3(X2,X1,X3),singleton(X2))|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(72,plain,(X3=set_difference(esk8_3(X2,X1,X3),singleton(X2))|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(73,plain,(in(esk8_3(X2,X1,X3),X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(76,plain,(in(esk8_3(X2,X1,X3),X1)|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(79,plain,(in(esk8_3(X2,X1,X3),X1)|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(80,plain,(esk7_3(X2,X1,X3)=X3|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(83,plain,(esk7_3(X2,X1,X3)=X3|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(86,plain,(esk7_3(X2,X1,X3)=X3|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(87,plain,(in(esk7_3(X2,X1,X3),powerset(X2))|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(90,plain,(in(esk7_3(X2,X1,X3),powerset(X2))|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(93,plain,(in(esk7_3(X2,X1,X3),powerset(X2))|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X3,esk6_2(X2,X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(94,plain,(in(X3,esk6_2(X2,X1))|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|X4!=X3|~in(X4,powerset(X2))|X3!=set_difference(X5,singleton(X2))|~in(X5,X1)|esk2_2(X2,X1)!=esk3_2(X2,X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(97,plain,(in(X3,esk6_2(X2,X1))|esk1_2(X2,X1)=esk3_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|X4!=X3|~in(X4,powerset(X2))|X3!=set_difference(X5,singleton(X2))|~in(X5,X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(100,plain,(in(X3,esk6_2(X2,X1))|esk1_2(X2,X1)=esk2_2(X2,X1)|~element(X1,powerset(powerset(succ(X2))))|~ordinal(X2)|X4!=X3|~in(X4,powerset(X2))|X3!=set_difference(X5,singleton(X2))|~in(X5,X1)),inference(split_conjunct,[status(thm)],[65])).
% fof(271, negated_conjecture,?[X1]:?[X2]:((ordinal(X1)&element(X2,powerset(powerset(succ(X1)))))&![X3]:?[X4]:((~(in(X4,X3))|(~(in(X4,powerset(X1)))|![X5]:(~(in(X5,X2))|~(X4=set_difference(X5,singleton(X1))))))&(in(X4,X3)|(in(X4,powerset(X1))&?[X5]:(in(X5,X2)&X4=set_difference(X5,singleton(X1))))))),inference(fof_nnf,[status(thm)],[43])).
% fof(272, negated_conjecture,?[X6]:?[X7]:((ordinal(X6)&element(X7,powerset(powerset(succ(X6)))))&![X8]:?[X9]:((~(in(X9,X8))|(~(in(X9,powerset(X6)))|![X10]:(~(in(X10,X7))|~(X9=set_difference(X10,singleton(X6))))))&(in(X9,X8)|(in(X9,powerset(X6))&?[X11]:(in(X11,X7)&X9=set_difference(X11,singleton(X6))))))),inference(variable_rename,[status(thm)],[271])).
% fof(273, negated_conjecture,((ordinal(esk25_0)&element(esk26_0,powerset(powerset(succ(esk25_0)))))&![X8]:((~(in(esk27_1(X8),X8))|(~(in(esk27_1(X8),powerset(esk25_0)))|![X10]:(~(in(X10,esk26_0))|~(esk27_1(X8)=set_difference(X10,singleton(esk25_0))))))&(in(esk27_1(X8),X8)|(in(esk27_1(X8),powerset(esk25_0))&(in(esk28_1(X8),esk26_0)&esk27_1(X8)=set_difference(esk28_1(X8),singleton(esk25_0))))))),inference(skolemize,[status(esa)],[272])).
% fof(274, negated_conjecture,![X8]:![X10]:(((((~(in(X10,esk26_0))|~(esk27_1(X8)=set_difference(X10,singleton(esk25_0))))|~(in(esk27_1(X8),powerset(esk25_0))))|~(in(esk27_1(X8),X8)))&(in(esk27_1(X8),X8)|(in(esk27_1(X8),powerset(esk25_0))&(in(esk28_1(X8),esk26_0)&esk27_1(X8)=set_difference(esk28_1(X8),singleton(esk25_0))))))&(ordinal(esk25_0)&element(esk26_0,powerset(powerset(succ(esk25_0)))))),inference(shift_quantors,[status(thm)],[273])).
% fof(275, negated_conjecture,![X8]:![X10]:(((((~(in(X10,esk26_0))|~(esk27_1(X8)=set_difference(X10,singleton(esk25_0))))|~(in(esk27_1(X8),powerset(esk25_0))))|~(in(esk27_1(X8),X8)))&((in(esk27_1(X8),powerset(esk25_0))|in(esk27_1(X8),X8))&((in(esk28_1(X8),esk26_0)|in(esk27_1(X8),X8))&(esk27_1(X8)=set_difference(esk28_1(X8),singleton(esk25_0))|in(esk27_1(X8),X8)))))&(ordinal(esk25_0)&element(esk26_0,powerset(powerset(succ(esk25_0)))))),inference(distribute,[status(thm)],[274])).
% cnf(276,negated_conjecture,(element(esk26_0,powerset(powerset(succ(esk25_0))))),inference(split_conjunct,[status(thm)],[275])).
% cnf(277,negated_conjecture,(ordinal(esk25_0)),inference(split_conjunct,[status(thm)],[275])).
% cnf(278,negated_conjecture,(in(esk27_1(X1),X1)|esk27_1(X1)=set_difference(esk28_1(X1),singleton(esk25_0))),inference(split_conjunct,[status(thm)],[275])).
% cnf(279,negated_conjecture,(in(esk27_1(X1),X1)|in(esk28_1(X1),esk26_0)),inference(split_conjunct,[status(thm)],[275])).
% cnf(280,negated_conjecture,(in(esk27_1(X1),X1)|in(esk27_1(X1),powerset(esk25_0))),inference(split_conjunct,[status(thm)],[275])).
% cnf(281,negated_conjecture,(~in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))|esk27_1(X1)!=set_difference(X2,singleton(esk25_0))|~in(X2,esk26_0)),inference(split_conjunct,[status(thm)],[275])).
% cnf(290,plain,(esk1_2(X1,X2)=esk2_2(X1,X2)|in(X3,esk6_2(X1,X2))|set_difference(X4,singleton(X1))!=X3|~element(X2,powerset(powerset(succ(X1))))|~ordinal(X1)|~in(X3,powerset(X1))|~in(X4,X2)),inference(er,[status(thm)],[100,theory(equality)])).
% cnf(293,plain,(esk1_2(X1,X2)=esk3_2(X1,X2)|in(X3,esk6_2(X1,X2))|set_difference(X4,singleton(X1))!=X3|~element(X2,powerset(powerset(succ(X1))))|~ordinal(X1)|~in(X3,powerset(X1))|~in(X4,X2)),inference(er,[status(thm)],[97,theory(equality)])).
% cnf(294,plain,(in(X1,esk6_2(X2,X3))|esk3_2(X2,X3)!=esk2_2(X2,X3)|set_difference(X4,singleton(X2))!=X1|~element(X3,powerset(powerset(succ(X2))))|~ordinal(X2)|~in(X1,powerset(X2))|~in(X4,X3)),inference(er,[status(thm)],[94,theory(equality)])).
% cnf(358,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,X1)=X1|~ordinal(esk25_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[86,276,theory(equality)])).
% cnf(363,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,X1)=X1|$false|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[358,277,theory(equality)])).
% cnf(364,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,X1)=X1|~in(X1,esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[363,theory(equality)])).
% cnf(367,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,X1)=X1|~ordinal(esk25_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[83,276,theory(equality)])).
% cnf(372,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,X1)=X1|$false|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[367,277,theory(equality)])).
% cnf(373,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,X1)=X1|~in(X1,esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[372,theory(equality)])).
% cnf(413,negated_conjecture,(esk7_3(esk25_0,esk26_0,X1)=X1|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~ordinal(esk25_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[80,276,theory(equality)])).
% cnf(418,negated_conjecture,(esk7_3(esk25_0,esk26_0,X1)=X1|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|$false|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[413,277,theory(equality)])).
% cnf(419,negated_conjecture,(esk7_3(esk25_0,esk26_0,X1)=X1|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[418,theory(equality)])).
% cnf(444,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~ordinal(esk25_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[79,276,theory(equality)])).
% cnf(449,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|$false|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[444,277,theory(equality)])).
% cnf(450,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[449,theory(equality)])).
% cnf(453,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~ordinal(esk25_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[76,276,theory(equality)])).
% cnf(458,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|$false|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[453,277,theory(equality)])).
% cnf(459,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[458,theory(equality)])).
% cnf(475,negated_conjecture,(in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~ordinal(esk25_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[73,276,theory(equality)])).
% cnf(480,negated_conjecture,(in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|$false|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[475,277,theory(equality)])).
% cnf(481,negated_conjecture,(in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[480,theory(equality)])).
% cnf(535,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(X1,esk6_2(esk25_0,esk26_0))|set_difference(X2,singleton(esk25_0))!=X1|~ordinal(esk25_0)|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(spm,[status(thm)],[290,276,theory(equality)])).
% cnf(540,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(X1,esk6_2(esk25_0,esk26_0))|set_difference(X2,singleton(esk25_0))!=X1|$false|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(rw,[status(thm)],[535,277,theory(equality)])).
% cnf(541,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(X1,esk6_2(esk25_0,esk26_0))|set_difference(X2,singleton(esk25_0))!=X1|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(cn,[status(thm)],[540,theory(equality)])).
% cnf(544,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(X1,esk6_2(esk25_0,esk26_0))|set_difference(X2,singleton(esk25_0))!=X1|~ordinal(esk25_0)|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(spm,[status(thm)],[293,276,theory(equality)])).
% cnf(549,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(X1,esk6_2(esk25_0,esk26_0))|set_difference(X2,singleton(esk25_0))!=X1|$false|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(rw,[status(thm)],[544,277,theory(equality)])).
% cnf(550,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(X1,esk6_2(esk25_0,esk26_0))|set_difference(X2,singleton(esk25_0))!=X1|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(cn,[status(thm)],[549,theory(equality)])).
% cnf(553,negated_conjecture,(in(X1,esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|set_difference(X2,singleton(esk25_0))!=X1|~ordinal(esk25_0)|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(spm,[status(thm)],[294,276,theory(equality)])).
% cnf(558,negated_conjecture,(in(X1,esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|set_difference(X2,singleton(esk25_0))!=X1|$false|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(rw,[status(thm)],[553,277,theory(equality)])).
% cnf(559,negated_conjecture,(in(X1,esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|set_difference(X2,singleton(esk25_0))!=X1|~in(X1,powerset(esk25_0))|~in(X2,esk26_0)),inference(cn,[status(thm)],[558,theory(equality)])).
% cnf(967,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))|in(esk28_1(esk6_2(esk25_0,esk26_0)),esk26_0)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)),inference(spm,[status(thm)],[419,279,theory(equality)])).
% cnf(968,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)),inference(spm,[status(thm)],[419,280,theory(equality)])).
% cnf(969,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))|set_difference(esk28_1(esk6_2(esk25_0,esk26_0)),singleton(esk25_0))=esk27_1(esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)),inference(spm,[status(thm)],[419,278,theory(equality)])).
% cnf(1489,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(set_difference(X1,singleton(esk25_0)),esk6_2(esk25_0,esk26_0))|~in(set_difference(X1,singleton(esk25_0)),powerset(esk25_0))|~in(X1,esk26_0)),inference(er,[status(thm)],[541,theory(equality)])).
% cnf(1516,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,set_difference(X1,singleton(esk25_0)))=set_difference(X1,singleton(esk25_0))|~in(set_difference(X1,singleton(esk25_0)),powerset(esk25_0))|~in(X1,esk26_0)),inference(spm,[status(thm)],[364,1489,theory(equality)])).
% cnf(1528,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))|~in(esk28_1(X1),esk26_0)),inference(spm,[status(thm)],[1489,278,theory(equality)])).
% cnf(1590,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(X1))=esk27_1(X1)|esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))|~in(esk28_1(X1),esk26_0)),inference(spm,[status(thm)],[1516,278,theory(equality)])).
% cnf(1608,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(set_difference(X1,singleton(esk25_0)),esk6_2(esk25_0,esk26_0))|~in(set_difference(X1,singleton(esk25_0)),powerset(esk25_0))|~in(X1,esk26_0)),inference(er,[status(thm)],[550,theory(equality)])).
% cnf(1636,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,set_difference(X1,singleton(esk25_0)))=set_difference(X1,singleton(esk25_0))|~in(set_difference(X1,singleton(esk25_0)),powerset(esk25_0))|~in(X1,esk26_0)),inference(spm,[status(thm)],[373,1608,theory(equality)])).
% cnf(1648,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))|~in(esk28_1(X1),esk26_0)),inference(spm,[status(thm)],[1608,278,theory(equality)])).
% cnf(1708,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(X1))=esk27_1(X1)|esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))|~in(esk28_1(X1),esk26_0)),inference(spm,[status(thm)],[1636,278,theory(equality)])).
% cnf(1726,negated_conjecture,(in(set_difference(X1,singleton(esk25_0)),esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(set_difference(X1,singleton(esk25_0)),powerset(esk25_0))|~in(X1,esk26_0)),inference(er,[status(thm)],[559,theory(equality)])).
% cnf(1757,negated_conjecture,(esk7_3(esk25_0,esk26_0,set_difference(X1,singleton(esk25_0)))=set_difference(X1,singleton(esk25_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(set_difference(X1,singleton(esk25_0)),powerset(esk25_0))|~in(X1,esk26_0)),inference(spm,[status(thm)],[419,1726,theory(equality)])).
% cnf(1767,negated_conjecture,(in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(esk27_1(X1),powerset(esk25_0))|~in(esk28_1(X1),esk26_0)),inference(spm,[status(thm)],[1726,278,theory(equality)])).
% cnf(1963,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(X1))=esk27_1(X1)|esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))),inference(csr,[status(thm)],[1590,279])).
% cnf(1964,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(X1))=esk27_1(X1)|esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(X1),X1)),inference(csr,[status(thm)],[1963,280])).
% cnf(1965,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[364,1964,theory(equality)])).
% cnf(2042,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|~element(esk26_0,powerset(powerset(succ(esk25_0))))|~ordinal(esk25_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[93,1965,theory(equality)])).
% cnf(2056,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|$false|~ordinal(esk25_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[2042,276,theory(equality)])).
% cnf(2057,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|$false|$false|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[2056,277,theory(equality)])).
% cnf(2058,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[2057,theory(equality)])).
% cnf(2145,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))),inference(csr,[status(thm)],[2058,280])).
% cnf(2147,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))|~in(X1,esk26_0)),inference(spm,[status(thm)],[281,2145,theory(equality)])).
% cnf(3505,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(X1))=esk27_1(X1)|esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))),inference(csr,[status(thm)],[1708,279])).
% cnf(3506,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(X1))=esk27_1(X1)|esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(X1),X1)),inference(csr,[status(thm)],[3505,280])).
% cnf(3508,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[373,3506,theory(equality)])).
% cnf(3597,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|~element(esk26_0,powerset(powerset(succ(esk25_0))))|~ordinal(esk25_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[90,3508,theory(equality)])).
% cnf(3609,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|$false|~ordinal(esk25_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[3597,276,theory(equality)])).
% cnf(3610,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|$false|$false|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[3609,277,theory(equality)])).
% cnf(3611,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[3610,theory(equality)])).
% cnf(3672,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))),inference(csr,[status(thm)],[3611,280])).
% cnf(3674,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))|~in(X1,esk26_0)),inference(spm,[status(thm)],[281,3672,theory(equality)])).
% cnf(3752,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))),inference(csr,[status(thm)],[1528,279])).
% cnf(3753,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(csr,[status(thm)],[3752,280])).
% cnf(3754,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(ef,[status(thm)],[3753,theory(equality)])).
% cnf(3814,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(X1,esk26_0)),inference(spm,[status(thm)],[2147,3754,theory(equality)])).
% cnf(3826,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk1_2(esk25_0,X1)=esk2_2(esk25_0,X1)|X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|~element(X1,powerset(powerset(succ(esk25_0))))|~ordinal(esk25_0)|~in(X2,esk6_2(esk25_0,X1))),inference(spm,[status(thm)],[3814,72,theory(equality)])).
% cnf(3833,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk1_2(esk25_0,X1)=esk2_2(esk25_0,X1)|X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|~element(X1,powerset(powerset(succ(esk25_0))))|$false|~in(X2,esk6_2(esk25_0,X1))),inference(rw,[status(thm)],[3826,277,theory(equality)])).
% cnf(3834,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|esk1_2(esk25_0,X1)=esk2_2(esk25_0,X1)|X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|~element(X1,powerset(powerset(succ(esk25_0))))|~in(X2,esk6_2(esk25_0,X1))),inference(cn,[status(thm)],[3833,theory(equality)])).
% cnf(3947,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)|~in(esk27_1(X1),powerset(esk25_0))),inference(csr,[status(thm)],[1648,279])).
% cnf(3948,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(csr,[status(thm)],[3947,280])).
% cnf(3949,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(ef,[status(thm)],[3948,theory(equality)])).
% cnf(4012,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(X1,esk26_0)),inference(spm,[status(thm)],[3674,3949,theory(equality)])).
% cnf(4100,negated_conjecture,(in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(esk27_1(X1),powerset(esk25_0))),inference(csr,[status(thm)],[1767,279])).
% cnf(4101,negated_conjecture,(in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)),inference(csr,[status(thm)],[4100,280])).
% cnf(6366,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|~in(esk28_1(esk6_2(esk25_0,esk26_0)),esk26_0)),inference(spm,[status(thm)],[1757,969,theory(equality)])).
% cnf(6382,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))),inference(csr,[status(thm)],[6366,967])).
% cnf(6383,negated_conjecture,(esk7_3(esk25_0,esk26_0,esk27_1(esk6_2(esk25_0,esk26_0)))=esk27_1(esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)),inference(csr,[status(thm)],[6382,968])).
% cnf(6386,negated_conjecture,(in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~element(esk26_0,powerset(powerset(succ(esk25_0))))|~ordinal(esk25_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[87,6383,theory(equality)])).
% cnf(6400,negated_conjecture,(in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|$false|~ordinal(esk25_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[6386,276,theory(equality)])).
% cnf(6401,negated_conjecture,(in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|$false|$false|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[6400,277,theory(equality)])).
% cnf(6402,negated_conjecture,(in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[6401,theory(equality)])).
% cnf(6424,negated_conjecture,(in(esk27_1(esk6_2(esk25_0,esk26_0)),powerset(esk25_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)),inference(csr,[status(thm)],[6402,280])).
% cnf(6426,negated_conjecture,(set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))|~in(X1,esk26_0)|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)),inference(spm,[status(thm)],[281,6424,theory(equality)])).
% cnf(8710,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[3834,276,theory(equality)])).
% cnf(8717,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(X1,esk6_2(esk25_0,esk26_0))),inference(csr,[status(thm)],[8710,450])).
% cnf(8730,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)),inference(spm,[status(thm)],[8717,3754,theory(equality)])).
% cnf(8749,negated_conjecture,(esk2_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(X1,esk26_0)),inference(rw,[status(thm)],[4012,8730,theory(equality)])).
% cnf(8778,negated_conjecture,(esk2_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(rw,[status(thm)],[3948,8730,theory(equality)])).
% cnf(8812,negated_conjecture,(esk2_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[459,8730,theory(equality)])).
% cnf(9033,negated_conjecture,(in(esk27_1(X1),esk6_2(esk25_0,esk26_0))|in(esk27_1(X1),X1)),inference(csr,[status(thm)],[8778,4101])).
% cnf(9034,negated_conjecture,(in(esk27_1(esk6_2(esk25_0,esk26_0)),esk6_2(esk25_0,esk26_0))),inference(ef,[status(thm)],[9033,theory(equality)])).
% cnf(9275,negated_conjecture,(set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|$false|~in(X1,esk26_0)),inference(rw,[status(thm)],[6426,9034,theory(equality)])).
% cnf(9276,negated_conjecture,(set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|~in(X1,esk26_0)),inference(cn,[status(thm)],[9275,theory(equality)])).
% cnf(9279,negated_conjecture,(in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(csr,[status(thm)],[8812,481])).
% cnf(9283,negated_conjecture,(set_difference(X1,singleton(esk25_0))!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(X1,esk26_0)),inference(csr,[status(thm)],[9276,8749])).
% cnf(9286,negated_conjecture,(esk1_2(esk25_0,X1)=esk3_2(esk25_0,X1)|X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|~element(X1,powerset(powerset(succ(esk25_0))))|~ordinal(esk25_0)|~in(X2,esk6_2(esk25_0,X1))),inference(spm,[status(thm)],[9283,69,theory(equality)])).
% cnf(9287,negated_conjecture,(X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|esk3_2(esk25_0,X1)!=esk2_2(esk25_0,X1)|~element(X1,powerset(powerset(succ(esk25_0))))|~ordinal(esk25_0)|~in(X2,esk6_2(esk25_0,X1))),inference(spm,[status(thm)],[9283,66,theory(equality)])).
% cnf(9294,negated_conjecture,(esk1_2(esk25_0,X1)=esk3_2(esk25_0,X1)|X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|~element(X1,powerset(powerset(succ(esk25_0))))|$false|~in(X2,esk6_2(esk25_0,X1))),inference(rw,[status(thm)],[9286,277,theory(equality)])).
% cnf(9295,negated_conjecture,(esk1_2(esk25_0,X1)=esk3_2(esk25_0,X1)|X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|~element(X1,powerset(powerset(succ(esk25_0))))|~in(X2,esk6_2(esk25_0,X1))),inference(cn,[status(thm)],[9294,theory(equality)])).
% cnf(9296,negated_conjecture,(X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|esk3_2(esk25_0,X1)!=esk2_2(esk25_0,X1)|~element(X1,powerset(powerset(succ(esk25_0))))|$false|~in(X2,esk6_2(esk25_0,X1))),inference(rw,[status(thm)],[9287,277,theory(equality)])).
% cnf(9297,negated_conjecture,(X2!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,X1,X2),esk26_0)|esk3_2(esk25_0,X1)!=esk2_2(esk25_0,X1)|~element(X1,powerset(powerset(succ(esk25_0))))|~in(X2,esk6_2(esk25_0,X1))),inference(cn,[status(thm)],[9296,theory(equality)])).
% cnf(9689,negated_conjecture,(esk1_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[9295,276,theory(equality)])).
% cnf(9694,negated_conjecture,(esk2_2(esk25_0,esk26_0)=esk3_2(esk25_0,esk26_0)|X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[9689,8730,theory(equality)])).
% cnf(9697,negated_conjecture,(esk3_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)|X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(X1,esk6_2(esk25_0,esk26_0))),inference(csr,[status(thm)],[9694,9279])).
% cnf(9706,negated_conjecture,(esk3_2(esk25_0,esk26_0)=esk2_2(esk25_0,esk26_0)),inference(spm,[status(thm)],[9697,9034,theory(equality)])).
% cnf(10110,negated_conjecture,(esk3_2(esk25_0,esk26_0)!=esk2_2(esk25_0,esk26_0)|X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(spm,[status(thm)],[9297,276,theory(equality)])).
% cnf(10115,negated_conjecture,($false|X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(rw,[status(thm)],[10110,9706,theory(equality)])).
% cnf(10116,negated_conjecture,(X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(esk8_3(esk25_0,esk26_0,X1),esk26_0)|~in(X1,esk6_2(esk25_0,esk26_0))),inference(cn,[status(thm)],[10115,theory(equality)])).
% cnf(10119,negated_conjecture,(X1!=esk27_1(esk6_2(esk25_0,esk26_0))|~in(X1,esk6_2(esk25_0,esk26_0))),inference(csr,[status(thm)],[10116,9279])).
% cnf(10128,negated_conjecture,($false),inference(spm,[status(thm)],[10119,9034,theory(equality)])).
% cnf(10135,negated_conjecture,($false),10128,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1812
% # ...of these trivial : 12
% # ...subsumed : 822
% # ...remaining for further processing: 978
% # Other redundant clauses eliminated : 57
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 262
% # Backward-rewritten : 182
% # Generated clauses : 5484
% # ...of the previous two non-trivial : 5388
% # Contextual simplify-reflections : 1296
% # Paramodulations : 5389
% # Factorizations : 16
% # Equation resolutions : 79
% # Current number of processed clauses: 408
% # Positive orientable unit clauses: 56
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 16
% # Non-unit-clauses : 336
% # Current number of unprocessed clauses: 1275
% # ...number of literals in the above : 7410
% # Clause-clause subsumption calls (NU) : 18859
% # Rec. Clause-clause subsumption calls : 10395
% # Unit Clause-clause subsumption calls : 334
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 13
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 354 leaves, 1.30+/-0.744 terms/leaf
% # Paramod-from index: 98 leaves, 1.05+/-0.413 terms/leaf
% # Paramod-into index: 211 leaves, 1.22+/-0.756 terms/leaf
% # -------------------------------------------------
% # User time : 0.441 s
% # System time : 0.014 s
% # Total time : 0.455 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.69 CPU 0.77 WC
% FINAL PrfWatch: 0.69 CPU 0.77 WC
% SZS output end Solution for /tmp/SystemOnTPTP5054/SEU298+1.tptp
%
%------------------------------------------------------------------------------