TSTP Solution File: SEU332+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU332+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 : art09.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 03:37:08 EST 2010
% Result : Theorem 6.83s
% Output : Solution 6.83s
% 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/SystemOnTPTP13865/SEU332+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP13865/SEU332+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP13865/SEU332+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 13961
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.93 CPU 4.02 WC
% # Preprocessing time : 0.022 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.91 CPU 6.02 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:![X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>![X3]:(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:?[X8]:((ordered_pair(X7,X8)=X5&in(X7,X2))&![X9]:(element(X9,powerset(the_carrier(X1)))=>(X9=X7=>X8=subset_complement(the_carrier(X1),X9)))))&X4=X6)&?[X10]:?[X11]:((ordered_pair(X10,X11)=X6&in(X10,X2))&![X12]:(element(X12,powerset(the_carrier(X1)))=>(X12=X10=>X11=subset_complement(the_carrier(X1),X12)))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,cartesian_product2(X2,X3))&X6=X5)&?[X13]:?[X14]:((ordered_pair(X13,X14)=X5&in(X13,X2))&![X15]:(element(X15,powerset(the_carrier(X1)))=>(X15=X13=>X14=subset_complement(the_carrier(X1),X15)))))))),file('/tmp/SRASS.s.p', s1_tarski__e4_7_2__tops_2__2)).
% fof(32, conjecture,![X1]:![X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X2,X3))&?[X6]:?[X7]:((ordered_pair(X6,X7)=X5&in(X6,X2))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X6=>X7=subset_complement(the_carrier(X1),X8))))))),file('/tmp/SRASS.s.p', s1_xboole_0__e4_7_2__tops_2__1)).
% fof(33, negated_conjecture,~(![X1]:![X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))=>![X3]:?[X4]:![X5]:(in(X5,X4)<=>(in(X5,cartesian_product2(X2,X3))&?[X6]:?[X7]:((ordered_pair(X6,X7)=X5&in(X6,X2))&![X8]:(element(X8,powerset(the_carrier(X1)))=>(X8=X6=>X7=subset_complement(the_carrier(X1),X8)))))))),inference(assume_negation,[status(cth)],[32])).
% fof(48, plain,![X1]:![X2]:((~(one_sorted_str(X1))|~(element(X2,powerset(powerset(the_carrier(X1))))))|![X3]:(?[X4]:?[X5]:?[X6]:((((X4=X5&?[X7]:?[X8]:((ordered_pair(X7,X8)=X5&in(X7,X2))&![X9]:(~(element(X9,powerset(the_carrier(X1))))|(~(X9=X7)|X8=subset_complement(the_carrier(X1),X9)))))&X4=X6)&?[X10]:?[X11]:((ordered_pair(X10,X11)=X6&in(X10,X2))&![X12]:(~(element(X12,powerset(the_carrier(X1))))|(~(X12=X10)|X11=subset_complement(the_carrier(X1),X12)))))&~(X5=X6))|?[X4]:![X5]:((~(in(X5,X4))|?[X6]:((in(X6,cartesian_product2(X2,X3))&X6=X5)&?[X13]:?[X14]:((ordered_pair(X13,X14)=X5&in(X13,X2))&![X15]:(~(element(X15,powerset(the_carrier(X1))))|(~(X15=X13)|X14=subset_complement(the_carrier(X1),X15))))))&(![X6]:((~(in(X6,cartesian_product2(X2,X3)))|~(X6=X5))|![X13]:![X14]:((~(ordered_pair(X13,X14)=X5)|~(in(X13,X2)))|?[X15]:(element(X15,powerset(the_carrier(X1)))&(X15=X13&~(X14=subset_complement(the_carrier(X1),X15))))))|in(X5,X4))))),inference(fof_nnf,[status(thm)],[4])).
% fof(49, plain,![X16]:![X17]:((~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))|![X18]:(?[X19]:?[X20]:?[X21]:((((X19=X20&?[X22]:?[X23]:((ordered_pair(X22,X23)=X20&in(X22,X17))&![X24]:(~(element(X24,powerset(the_carrier(X16))))|(~(X24=X22)|X23=subset_complement(the_carrier(X16),X24)))))&X19=X21)&?[X25]:?[X26]:((ordered_pair(X25,X26)=X21&in(X25,X17))&![X27]:(~(element(X27,powerset(the_carrier(X16))))|(~(X27=X25)|X26=subset_complement(the_carrier(X16),X27)))))&~(X20=X21))|?[X28]:![X29]:((~(in(X29,X28))|?[X30]:((in(X30,cartesian_product2(X17,X18))&X30=X29)&?[X31]:?[X32]:((ordered_pair(X31,X32)=X29&in(X31,X17))&![X33]:(~(element(X33,powerset(the_carrier(X16))))|(~(X33=X31)|X32=subset_complement(the_carrier(X16),X33))))))&(![X34]:((~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29))|![X35]:![X36]:((~(ordered_pair(X35,X36)=X29)|~(in(X35,X17)))|?[X37]:(element(X37,powerset(the_carrier(X16)))&(X37=X35&~(X36=subset_complement(the_carrier(X16),X37))))))|in(X29,X28))))),inference(variable_rename,[status(thm)],[48])).
% fof(50, plain,![X16]:![X17]:((~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))|![X18]:(((((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)&((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)&in(esk4_3(X16,X17,X18),X17))&![X24]:(~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))))&esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18))&((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)&in(esk6_3(X16,X17,X18),X17))&![X27]:(~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))))&~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18)))|![X29]:((~(in(X29,esk8_3(X16,X17,X18)))|((in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))&esk9_4(X16,X17,X18,X29)=X29)&((ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29&in(esk10_4(X16,X17,X18,X29),X17))&![X33]:(~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33))))))&(![X34]:((~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29))|![X35]:![X36]:((~(ordered_pair(X35,X36)=X29)|~(in(X35,X17)))|(element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))&(esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35&~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))))))|in(X29,esk8_3(X16,X17,X18)))))),inference(skolemize,[status(esa)],[49])).
% fof(51, plain,![X16]:![X17]:![X18]:![X24]:![X27]:![X29]:![X33]:![X34]:![X35]:![X36]:(((((((~(ordered_pair(X35,X36)=X29)|~(in(X35,X17)))|(element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))&(esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35&~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36))))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18)))&((((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))&(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29&in(esk10_4(X16,X17,X18,X29),X17)))&(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))&esk9_4(X16,X17,X18,X29)=X29))|~(in(X29,esk8_3(X16,X17,X18)))))|((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))&(ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)&in(esk6_3(X16,X17,X18),X17)))&((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))&(ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)&in(esk4_3(X16,X17,X18),X17)))&esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18))&esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)))&~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))),inference(shift_quantors,[status(thm)],[50])).
% fof(52, plain,![X16]:![X17]:![X18]:![X24]:![X27]:![X29]:![X33]:![X34]:![X35]:![X36]:((((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|(((element(esk12_7(X16,X17,X18,X29,X34,X35,X36),powerset(the_carrier(X16)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&(((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|(((esk12_7(X16,X17,X18,X29,X34,X35,X36)=X35|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|(((~(X36=subset_complement(the_carrier(X16),esk12_7(X16,X17,X18,X29,X34,X35,X36)))|(~(ordered_pair(X35,X36)=X29)|~(in(X35,X17))))|(~(in(X34,cartesian_product2(X17,X18)))|~(X34=X29)))|in(X29,esk8_3(X16,X17,X18))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))))&((((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|((~(element(X33,powerset(the_carrier(X16))))|(~(X33=esk10_4(X16,X17,X18,X29))|esk11_4(X16,X17,X18,X29)=subset_complement(the_carrier(X16),X33)))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&(((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|(ordered_pair(esk10_4(X16,X17,X18,X29),esk11_4(X16,X17,X18,X29))=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|(in(esk10_4(X16,X17,X18,X29),X17)|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))))&(((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|(in(esk9_4(X16,X17,X18,X29),cartesian_product2(X17,X18))|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((((((~(element(X27,powerset(the_carrier(X16))))|(~(X27=esk6_3(X16,X17,X18))|esk7_3(X16,X17,X18)=subset_complement(the_carrier(X16),X27)))|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk6_3(X16,X17,X18),esk7_3(X16,X17,X18))=esk3_3(X16,X17,X18)|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk6_3(X16,X17,X18),X17)|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((((((~(element(X24,powerset(the_carrier(X16))))|(~(X24=esk4_3(X16,X17,X18))|esk5_3(X16,X17,X18)=subset_complement(the_carrier(X16),X24)))|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&(((ordered_pair(esk4_3(X16,X17,X18),esk5_3(X16,X17,X18))=esk2_3(X16,X17,X18)|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))&((in(esk4_3(X16,X17,X18),X17)|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((esk1_3(X16,X17,X18)=esk2_3(X16,X17,X18)|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))&((esk1_3(X16,X17,X18)=esk3_3(X16,X17,X18)|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16)))))))))&((~(esk2_3(X16,X17,X18)=esk3_3(X16,X17,X18))|(esk9_4(X16,X17,X18,X29)=X29|~(in(X29,esk8_3(X16,X17,X18)))))|(~(one_sorted_str(X16))|~(element(X17,powerset(powerset(the_carrier(X16))))))))))),inference(distribute,[status(thm)],[51])).
% cnf(53,plain,(esk9_4(X2,X1,X4,X3)=X3|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(54,plain,(esk9_4(X2,X1,X4,X3)=X3|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(55,plain,(esk9_4(X2,X1,X4,X3)=X3|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(62,plain,(in(esk9_4(X2,X1,X4,X3),cartesian_product2(X1,X4))|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(63,plain,(in(esk9_4(X2,X1,X4,X3),cartesian_product2(X1,X4))|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(64,plain,(in(esk9_4(X2,X1,X4,X3),cartesian_product2(X1,X4))|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(71,plain,(in(esk10_4(X2,X1,X4,X3),X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(72,plain,(in(esk10_4(X2,X1,X4,X3),X1)|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(73,plain,(in(esk10_4(X2,X1,X4,X3),X1)|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(80,plain,(ordered_pair(esk10_4(X2,X1,X4,X3),esk11_4(X2,X1,X4,X3))=X3|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(81,plain,(ordered_pair(esk10_4(X2,X1,X4,X3),esk11_4(X2,X1,X4,X3))=X3|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(82,plain,(ordered_pair(esk10_4(X2,X1,X4,X3),esk11_4(X2,X1,X4,X3))=X3|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))),inference(split_conjunct,[status(thm)],[52])).
% cnf(89,plain,(esk11_4(X2,X1,X4,X3)=subset_complement(the_carrier(X2),X5)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))|X5!=esk10_4(X2,X1,X4,X3)|~element(X5,powerset(the_carrier(X2)))|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(90,plain,(esk11_4(X2,X1,X4,X3)=subset_complement(the_carrier(X2),X5)|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))|X5!=esk10_4(X2,X1,X4,X3)|~element(X5,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[52])).
% cnf(91,plain,(esk11_4(X2,X1,X4,X3)=subset_complement(the_carrier(X2),X5)|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|~in(X3,esk8_3(X2,X1,X4))|X5!=esk10_4(X2,X1,X4,X3)|~element(X5,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[52])).
% cnf(98,plain,(in(X3,esk8_3(X2,X1,X4))|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3|X7!=subset_complement(the_carrier(X2),esk12_7(X2,X1,X4,X3,X5,X6,X7))|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(99,plain,(in(X3,esk8_3(X2,X1,X4))|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3|X7!=subset_complement(the_carrier(X2),esk12_7(X2,X1,X4,X3,X5,X6,X7))),inference(split_conjunct,[status(thm)],[52])).
% cnf(100,plain,(in(X3,esk8_3(X2,X1,X4))|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3|X7!=subset_complement(the_carrier(X2),esk12_7(X2,X1,X4,X3,X5,X6,X7))),inference(split_conjunct,[status(thm)],[52])).
% cnf(107,plain,(in(X3,esk8_3(X2,X1,X4))|esk12_7(X2,X1,X4,X3,X5,X6,X7)=X6|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(108,plain,(in(X3,esk8_3(X2,X1,X4))|esk12_7(X2,X1,X4,X3,X5,X6,X7)=X6|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3),inference(split_conjunct,[status(thm)],[52])).
% cnf(109,plain,(in(X3,esk8_3(X2,X1,X4))|esk12_7(X2,X1,X4,X3,X5,X6,X7)=X6|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3),inference(split_conjunct,[status(thm)],[52])).
% cnf(116,plain,(in(X3,esk8_3(X2,X1,X4))|element(esk12_7(X2,X1,X4,X3,X5,X6,X7),powerset(the_carrier(X2)))|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3|esk2_3(X2,X1,X4)!=esk3_3(X2,X1,X4)),inference(split_conjunct,[status(thm)],[52])).
% cnf(117,plain,(in(X3,esk8_3(X2,X1,X4))|element(esk12_7(X2,X1,X4,X3,X5,X6,X7),powerset(the_carrier(X2)))|esk1_3(X2,X1,X4)=esk3_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3),inference(split_conjunct,[status(thm)],[52])).
% cnf(118,plain,(in(X3,esk8_3(X2,X1,X4))|element(esk12_7(X2,X1,X4,X3,X5,X6,X7),powerset(the_carrier(X2)))|esk1_3(X2,X1,X4)=esk2_3(X2,X1,X4)|~element(X1,powerset(powerset(the_carrier(X2))))|~one_sorted_str(X2)|X5!=X3|~in(X5,cartesian_product2(X1,X4))|~in(X6,X1)|ordered_pair(X6,X7)!=X3),inference(split_conjunct,[status(thm)],[52])).
% fof(245, negated_conjecture,?[X1]:?[X2]:((one_sorted_str(X1)&element(X2,powerset(powerset(the_carrier(X1)))))&?[X3]:![X4]:?[X5]:((~(in(X5,X4))|(~(in(X5,cartesian_product2(X2,X3)))|![X6]:![X7]:((~(ordered_pair(X6,X7)=X5)|~(in(X6,X2)))|?[X8]:(element(X8,powerset(the_carrier(X1)))&(X8=X6&~(X7=subset_complement(the_carrier(X1),X8)))))))&(in(X5,X4)|(in(X5,cartesian_product2(X2,X3))&?[X6]:?[X7]:((ordered_pair(X6,X7)=X5&in(X6,X2))&![X8]:(~(element(X8,powerset(the_carrier(X1))))|(~(X8=X6)|X7=subset_complement(the_carrier(X1),X8)))))))),inference(fof_nnf,[status(thm)],[33])).
% fof(246, negated_conjecture,?[X9]:?[X10]:((one_sorted_str(X9)&element(X10,powerset(powerset(the_carrier(X9)))))&?[X11]:![X12]:?[X13]:((~(in(X13,X12))|(~(in(X13,cartesian_product2(X10,X11)))|![X14]:![X15]:((~(ordered_pair(X14,X15)=X13)|~(in(X14,X10)))|?[X16]:(element(X16,powerset(the_carrier(X9)))&(X16=X14&~(X15=subset_complement(the_carrier(X9),X16)))))))&(in(X13,X12)|(in(X13,cartesian_product2(X10,X11))&?[X17]:?[X18]:((ordered_pair(X17,X18)=X13&in(X17,X10))&![X19]:(~(element(X19,powerset(the_carrier(X9))))|(~(X19=X17)|X18=subset_complement(the_carrier(X9),X19)))))))),inference(variable_rename,[status(thm)],[245])).
% fof(247, negated_conjecture,((one_sorted_str(esk16_0)&element(esk17_0,powerset(powerset(the_carrier(esk16_0)))))&![X12]:((~(in(esk19_1(X12),X12))|(~(in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0)))|![X14]:![X15]:((~(ordered_pair(X14,X15)=esk19_1(X12))|~(in(X14,esk17_0)))|(element(esk20_3(X12,X14,X15),powerset(the_carrier(esk16_0)))&(esk20_3(X12,X14,X15)=X14&~(X15=subset_complement(the_carrier(esk16_0),esk20_3(X12,X14,X15))))))))&(in(esk19_1(X12),X12)|(in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0))&((ordered_pair(esk21_1(X12),esk22_1(X12))=esk19_1(X12)&in(esk21_1(X12),esk17_0))&![X19]:(~(element(X19,powerset(the_carrier(esk16_0))))|(~(X19=esk21_1(X12))|esk22_1(X12)=subset_complement(the_carrier(esk16_0),X19)))))))),inference(skolemize,[status(esa)],[246])).
% fof(248, negated_conjecture,![X12]:![X14]:![X15]:![X19]:((((((~(element(X19,powerset(the_carrier(esk16_0))))|(~(X19=esk21_1(X12))|esk22_1(X12)=subset_complement(the_carrier(esk16_0),X19)))&(ordered_pair(esk21_1(X12),esk22_1(X12))=esk19_1(X12)&in(esk21_1(X12),esk17_0)))&in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0)))|in(esk19_1(X12),X12))&((((~(ordered_pair(X14,X15)=esk19_1(X12))|~(in(X14,esk17_0)))|(element(esk20_3(X12,X14,X15),powerset(the_carrier(esk16_0)))&(esk20_3(X12,X14,X15)=X14&~(X15=subset_complement(the_carrier(esk16_0),esk20_3(X12,X14,X15))))))|~(in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0))))|~(in(esk19_1(X12),X12))))&(one_sorted_str(esk16_0)&element(esk17_0,powerset(powerset(the_carrier(esk16_0)))))),inference(shift_quantors,[status(thm)],[247])).
% fof(249, negated_conjecture,![X12]:![X14]:![X15]:![X19]:((((((~(element(X19,powerset(the_carrier(esk16_0))))|(~(X19=esk21_1(X12))|esk22_1(X12)=subset_complement(the_carrier(esk16_0),X19)))|in(esk19_1(X12),X12))&((ordered_pair(esk21_1(X12),esk22_1(X12))=esk19_1(X12)|in(esk19_1(X12),X12))&(in(esk21_1(X12),esk17_0)|in(esk19_1(X12),X12))))&(in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0))|in(esk19_1(X12),X12)))&((((element(esk20_3(X12,X14,X15),powerset(the_carrier(esk16_0)))|(~(ordered_pair(X14,X15)=esk19_1(X12))|~(in(X14,esk17_0))))|~(in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0))))|~(in(esk19_1(X12),X12)))&((((esk20_3(X12,X14,X15)=X14|(~(ordered_pair(X14,X15)=esk19_1(X12))|~(in(X14,esk17_0))))|~(in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0))))|~(in(esk19_1(X12),X12)))&(((~(X15=subset_complement(the_carrier(esk16_0),esk20_3(X12,X14,X15)))|(~(ordered_pair(X14,X15)=esk19_1(X12))|~(in(X14,esk17_0))))|~(in(esk19_1(X12),cartesian_product2(esk17_0,esk18_0))))|~(in(esk19_1(X12),X12))))))&(one_sorted_str(esk16_0)&element(esk17_0,powerset(powerset(the_carrier(esk16_0)))))),inference(distribute,[status(thm)],[248])).
% cnf(250,negated_conjecture,(element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(split_conjunct,[status(thm)],[249])).
% cnf(251,negated_conjecture,(one_sorted_str(esk16_0)),inference(split_conjunct,[status(thm)],[249])).
% cnf(252,negated_conjecture,(~in(esk19_1(X1),X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(X2,esk17_0)|ordered_pair(X2,X3)!=esk19_1(X1)|X3!=subset_complement(the_carrier(esk16_0),esk20_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[249])).
% cnf(253,negated_conjecture,(esk20_3(X1,X2,X3)=X2|~in(esk19_1(X1),X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(X2,esk17_0)|ordered_pair(X2,X3)!=esk19_1(X1)),inference(split_conjunct,[status(thm)],[249])).
% cnf(254,negated_conjecture,(element(esk20_3(X1,X2,X3),powerset(the_carrier(esk16_0)))|~in(esk19_1(X1),X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(X2,esk17_0)|ordered_pair(X2,X3)!=esk19_1(X1)),inference(split_conjunct,[status(thm)],[249])).
% cnf(255,negated_conjecture,(in(esk19_1(X1),X1)|in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))),inference(split_conjunct,[status(thm)],[249])).
% cnf(256,negated_conjecture,(in(esk19_1(X1),X1)|in(esk21_1(X1),esk17_0)),inference(split_conjunct,[status(thm)],[249])).
% cnf(257,negated_conjecture,(in(esk19_1(X1),X1)|ordered_pair(esk21_1(X1),esk22_1(X1))=esk19_1(X1)),inference(split_conjunct,[status(thm)],[249])).
% cnf(258,negated_conjecture,(in(esk19_1(X1),X1)|esk22_1(X1)=subset_complement(the_carrier(esk16_0),X2)|X2!=esk21_1(X1)|~element(X2,powerset(the_carrier(esk16_0)))),inference(split_conjunct,[status(thm)],[249])).
% cnf(365,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk21_1(X1))=esk22_1(X1)|in(esk19_1(X1),X1)|~element(esk21_1(X1),powerset(the_carrier(esk16_0)))),inference(er,[status(thm)],[258,theory(equality)])).
% cnf(367,negated_conjecture,(esk9_4(X1,X2,X3,esk19_1(esk8_3(X1,X2,X3)))=esk19_1(esk8_3(X1,X2,X3))|in(esk19_1(esk8_3(X1,X2,X3)),cartesian_product2(esk17_0,esk18_0))|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[53,255,theory(equality)])).
% cnf(380,negated_conjecture,(in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|~one_sorted_str(esk16_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(spm,[status(thm)],[71,250,theory(equality)])).
% cnf(383,negated_conjecture,(in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|$false|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(rw,[status(thm)],[380,251,theory(equality)])).
% cnf(384,negated_conjecture,(in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(cn,[status(thm)],[383,theory(equality)])).
% cnf(386,negated_conjecture,(in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|~one_sorted_str(esk16_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(spm,[status(thm)],[62,250,theory(equality)])).
% cnf(389,negated_conjecture,(in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|$false|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(rw,[status(thm)],[386,251,theory(equality)])).
% cnf(390,negated_conjecture,(in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(cn,[status(thm)],[389,theory(equality)])).
% cnf(393,plain,(in(X1,esk8_3(X2,X3,X4))|subset_complement(the_carrier(X2),esk12_7(X2,X3,X4,X1,X1,X5,X6))!=X6|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|ordered_pair(X5,X6)!=X1|~one_sorted_str(X2)|~in(X1,cartesian_product2(X3,X4))|~in(X5,X3)|~element(X3,powerset(powerset(the_carrier(X2))))),inference(er,[status(thm)],[98,theory(equality)])).
% cnf(394,negated_conjecture,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|esk9_4(X1,X2,X3,esk19_1(esk8_3(X1,X2,X3)))=esk19_1(esk8_3(X1,X2,X3))|in(esk19_1(esk8_3(X1,X2,X3)),cartesian_product2(esk17_0,esk18_0))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[55,255,theory(equality)])).
% cnf(395,negated_conjecture,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|esk9_4(X1,X2,X3,esk19_1(esk8_3(X1,X2,X3)))=esk19_1(esk8_3(X1,X2,X3))|in(esk19_1(esk8_3(X1,X2,X3)),cartesian_product2(esk17_0,esk18_0))|~one_sorted_str(X1)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[54,255,theory(equality)])).
% cnf(396,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|~one_sorted_str(esk16_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(spm,[status(thm)],[73,250,theory(equality)])).
% cnf(399,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|$false|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(rw,[status(thm)],[396,251,theory(equality)])).
% cnf(400,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(cn,[status(thm)],[399,theory(equality)])).
% cnf(402,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|~one_sorted_str(esk16_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(spm,[status(thm)],[72,250,theory(equality)])).
% cnf(405,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|$false|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(rw,[status(thm)],[402,251,theory(equality)])).
% cnf(406,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk10_4(esk16_0,esk17_0,X1,X2),esk17_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(cn,[status(thm)],[405,theory(equality)])).
% cnf(420,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|~one_sorted_str(esk16_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(spm,[status(thm)],[64,250,theory(equality)])).
% cnf(423,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|$false|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(rw,[status(thm)],[420,251,theory(equality)])).
% cnf(424,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(cn,[status(thm)],[423,theory(equality)])).
% cnf(451,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|~one_sorted_str(esk16_0)|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(spm,[status(thm)],[63,250,theory(equality)])).
% cnf(454,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|$false|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(rw,[status(thm)],[451,251,theory(equality)])).
% cnf(455,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,X2),cartesian_product2(esk17_0,X1))|~in(X2,esk8_3(esk16_0,esk17_0,X1))),inference(cn,[status(thm)],[454,theory(equality)])).
% cnf(473,plain,(esk11_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))),inference(er,[status(thm)],[89,theory(equality)])).
% cnf(474,plain,(esk12_7(X1,X2,X3,X4,X4,X5,X6)=X5|in(X4,esk8_3(X1,X2,X3))|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|ordered_pair(X5,X6)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(X5,X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[107,theory(equality)])).
% cnf(477,plain,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X3,X4,X4,X5,X6))!=X6|ordered_pair(X5,X6)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(X5,X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[100,theory(equality)])).
% cnf(478,plain,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|subset_complement(the_carrier(X1),esk12_7(X1,X2,X3,X4,X4,X5,X6))!=X6|ordered_pair(X5,X6)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(X5,X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[99,theory(equality)])).
% cnf(500,plain,(esk12_7(X1,X2,X3,X4,X4,X5,X6)=X5|esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(X5,X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[109,theory(equality)])).
% cnf(501,plain,(esk12_7(X1,X2,X3,X4,X4,X5,X6)=X5|esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|ordered_pair(X5,X6)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(X5,X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[108,theory(equality)])).
% cnf(504,plain,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|element(esk12_7(X1,X2,X3,X4,X4,X5,X6),powerset(the_carrier(X1)))|ordered_pair(X5,X6)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(X5,X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[118,theory(equality)])).
% cnf(505,plain,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|element(esk12_7(X1,X2,X3,X4,X4,X5,X6),powerset(the_carrier(X1)))|ordered_pair(X5,X6)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(X5,X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[117,theory(equality)])).
% cnf(509,plain,(in(X1,esk8_3(X2,X3,X4))|element(esk12_7(X2,X3,X4,X1,X1,X5,X6),powerset(the_carrier(X2)))|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|ordered_pair(X5,X6)!=X1|~one_sorted_str(X2)|~in(X1,cartesian_product2(X3,X4))|~in(X5,X3)|~element(X3,powerset(powerset(the_carrier(X2))))),inference(er,[status(thm)],[116,theory(equality)])).
% cnf(510,plain,(esk11_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))|esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))),inference(er,[status(thm)],[91,theory(equality)])).
% cnf(511,plain,(esk11_4(X1,X2,X3,X4)=subset_complement(the_carrier(X1),esk10_4(X1,X2,X3,X4))|esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|~one_sorted_str(X1)|~in(X4,esk8_3(X1,X2,X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~element(esk10_4(X1,X2,X3,X4),powerset(the_carrier(X1)))),inference(er,[status(thm)],[90,theory(equality)])).
% cnf(931,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|~one_sorted_str(esk16_0)),inference(spm,[status(thm)],[367,250,theory(equality)])).
% cnf(938,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|$false),inference(rw,[status(thm)],[931,251,theory(equality)])).
% cnf(939,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)),inference(cn,[status(thm)],[938,theory(equality)])).
% cnf(1218,negated_conjecture,(in(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1))),cartesian_product2(esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)),inference(spm,[status(thm)],[390,255,theory(equality)])).
% cnf(1222,negated_conjecture,(in(X1,esk8_3(X2,X3,X4))|in(esk19_1(X5),X5)|subset_complement(the_carrier(X2),esk12_7(X2,X3,X4,X1,X1,esk21_1(X5),esk22_1(X5)))!=esk22_1(X5)|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|esk19_1(X5)!=X1|~one_sorted_str(X2)|~in(X1,cartesian_product2(X3,X4))|~in(esk21_1(X5),X3)|~element(X3,powerset(powerset(the_carrier(X2))))),inference(spm,[status(thm)],[393,257,theory(equality)])).
% cnf(1240,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1))),cartesian_product2(esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))),inference(spm,[status(thm)],[424,255,theory(equality)])).
% cnf(1242,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1))),cartesian_product2(esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))),inference(spm,[status(thm)],[455,255,theory(equality)])).
% cnf(1294,negated_conjecture,(esk12_7(X1,X2,X3,X4,X4,esk21_1(X5),esk22_1(X5))=esk21_1(X5)|in(X4,esk8_3(X1,X2,X3))|in(esk19_1(X5),X5)|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|esk19_1(X5)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(esk21_1(X5),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[474,257,theory(equality)])).
% cnf(1321,negated_conjecture,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|in(esk19_1(X5),X5)|subset_complement(the_carrier(X1),esk12_7(X1,X2,X3,X4,X4,esk21_1(X5),esk22_1(X5)))!=esk22_1(X5)|esk19_1(X5)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(esk21_1(X5),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[477,257,theory(equality)])).
% cnf(1328,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|~one_sorted_str(esk16_0)),inference(spm,[status(thm)],[394,250,theory(equality)])).
% cnf(1337,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|$false),inference(rw,[status(thm)],[1328,251,theory(equality)])).
% cnf(1338,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))),inference(cn,[status(thm)],[1337,theory(equality)])).
% cnf(1353,negated_conjecture,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|in(esk19_1(X5),X5)|subset_complement(the_carrier(X1),esk12_7(X1,X2,X3,X4,X4,esk21_1(X5),esk22_1(X5)))!=esk22_1(X5)|esk19_1(X5)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(esk21_1(X5),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[478,257,theory(equality)])).
% cnf(1394,negated_conjecture,(in(esk19_1(X1),esk8_3(X2,X3,X4))|in(esk19_1(X1),X1)|subset_complement(the_carrier(X2),esk12_7(X2,X3,X4,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|~one_sorted_str(X2)|~in(esk19_1(X1),cartesian_product2(X3,X4))|~in(esk21_1(X1),X3)|~element(X3,powerset(powerset(the_carrier(X2))))),inference(er,[status(thm)],[1222,theory(equality)])).
% cnf(1402,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|~one_sorted_str(esk16_0)),inference(spm,[status(thm)],[395,250,theory(equality)])).
% cnf(1411,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))|$false),inference(rw,[status(thm)],[1402,251,theory(equality)])).
% cnf(1412,negated_conjecture,(esk9_4(esk16_0,esk17_0,X1,esk19_1(esk8_3(esk16_0,esk17_0,X1)))=esk19_1(esk8_3(esk16_0,esk17_0,X1))|esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))),inference(cn,[status(thm)],[1411,theory(equality)])).
% cnf(1604,negated_conjecture,(in(esk19_1(X1),esk8_3(X2,esk17_0,X3))|in(esk19_1(X1),X1)|subset_complement(the_carrier(X2),esk12_7(X2,esk17_0,X3,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)|esk3_3(X2,esk17_0,X3)!=esk2_3(X2,esk17_0,X3)|~one_sorted_str(X2)|~in(esk19_1(X1),cartesian_product2(esk17_0,X3))|~element(esk17_0,powerset(powerset(the_carrier(X2))))),inference(spm,[status(thm)],[1394,256,theory(equality)])).
% cnf(1605,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,X2))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X2,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)|esk3_3(esk16_0,esk17_0,X2)!=esk2_3(esk16_0,esk17_0,X2)|~one_sorted_str(esk16_0)|~in(esk19_1(X1),cartesian_product2(esk17_0,X2))),inference(spm,[status(thm)],[1604,250,theory(equality)])).
% cnf(1606,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,X2))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X2,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)|esk3_3(esk16_0,esk17_0,X2)!=esk2_3(esk16_0,esk17_0,X2)|$false|~in(esk19_1(X1),cartesian_product2(esk17_0,X2))),inference(rw,[status(thm)],[1605,251,theory(equality)])).
% cnf(1607,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,X2))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X2,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)|esk3_3(esk16_0,esk17_0,X2)!=esk2_3(esk16_0,esk17_0,X2)|~in(esk19_1(X1),cartesian_product2(esk17_0,X2))),inference(cn,[status(thm)],[1606,theory(equality)])).
% cnf(1610,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)|esk3_3(esk16_0,esk17_0,esk18_0)!=esk2_3(esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[1607,255,theory(equality)])).
% cnf(1672,negated_conjecture,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|esk12_7(X1,X2,X3,X4,X4,esk21_1(X5),esk22_1(X5))=esk21_1(X5)|in(X4,esk8_3(X1,X2,X3))|in(esk19_1(X5),X5)|esk19_1(X5)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(esk21_1(X5),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[500,257,theory(equality)])).
% cnf(1674,negated_conjecture,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|esk12_7(X1,X2,X3,X4,X4,esk21_1(X5),esk22_1(X5))=esk21_1(X5)|in(X4,esk8_3(X1,X2,X3))|in(esk19_1(X5),X5)|esk19_1(X5)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(esk21_1(X5),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[501,257,theory(equality)])).
% cnf(1720,negated_conjecture,(in(X1,esk8_3(X2,X3,X4))|element(esk12_7(X2,X3,X4,X1,X1,esk21_1(X5),esk22_1(X5)),powerset(the_carrier(X2)))|in(esk19_1(X5),X5)|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|esk19_1(X5)!=X1|~one_sorted_str(X2)|~in(X1,cartesian_product2(X3,X4))|~in(esk21_1(X5),X3)|~element(X3,powerset(powerset(the_carrier(X2))))),inference(spm,[status(thm)],[509,257,theory(equality)])).
% cnf(1740,negated_conjecture,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(esk19_1(X4),esk8_3(X1,X2,X3))|in(esk19_1(X4),X4)|subset_complement(the_carrier(X1),esk12_7(X1,X2,X3,esk19_1(X4),esk19_1(X4),esk21_1(X4),esk22_1(X4)))!=esk22_1(X4)|~one_sorted_str(X1)|~in(esk19_1(X4),cartesian_product2(X2,X3))|~in(esk21_1(X4),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[1321,theory(equality)])).
% cnf(1741,negated_conjecture,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(esk19_1(X4),esk8_3(X1,X2,X3))|in(esk19_1(X4),X4)|subset_complement(the_carrier(X1),esk12_7(X1,X2,X3,esk19_1(X4),esk19_1(X4),esk21_1(X4),esk22_1(X4)))!=esk22_1(X4)|~one_sorted_str(X1)|~in(esk19_1(X4),cartesian_product2(X2,X3))|~in(esk21_1(X4),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[1353,theory(equality)])).
% cnf(1977,negated_conjecture,(esk1_3(X1,esk17_0,X2)=esk2_3(X1,esk17_0,X2)|in(esk19_1(X3),esk8_3(X1,esk17_0,X2))|in(esk19_1(X3),X3)|subset_complement(the_carrier(X1),esk12_7(X1,esk17_0,X2,esk19_1(X3),esk19_1(X3),esk21_1(X3),esk22_1(X3)))!=esk22_1(X3)|~one_sorted_str(X1)|~in(esk19_1(X3),cartesian_product2(esk17_0,X2))|~element(esk17_0,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[1740,256,theory(equality)])).
% cnf(1978,negated_conjecture,(esk1_3(X1,esk17_0,X2)=esk3_3(X1,esk17_0,X2)|in(esk19_1(X3),esk8_3(X1,esk17_0,X2))|in(esk19_1(X3),X3)|subset_complement(the_carrier(X1),esk12_7(X1,esk17_0,X2,esk19_1(X3),esk19_1(X3),esk21_1(X3),esk22_1(X3)))!=esk22_1(X3)|~one_sorted_str(X1)|~in(esk19_1(X3),cartesian_product2(esk17_0,X2))|~element(esk17_0,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[1741,256,theory(equality)])).
% cnf(2006,negated_conjecture,(esk12_7(X1,X2,X3,esk19_1(X4),esk19_1(X4),esk21_1(X4),esk22_1(X4))=esk21_1(X4)|in(esk19_1(X4),esk8_3(X1,X2,X3))|in(esk19_1(X4),X4)|esk3_3(X1,X2,X3)!=esk2_3(X1,X2,X3)|~one_sorted_str(X1)|~in(esk19_1(X4),cartesian_product2(X2,X3))|~in(esk21_1(X4),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[1294,theory(equality)])).
% cnf(2008,negated_conjecture,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|element(esk12_7(X1,X2,X3,X4,X4,esk21_1(X5),esk22_1(X5)),powerset(the_carrier(X1)))|in(esk19_1(X5),X5)|esk19_1(X5)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(esk21_1(X5),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[504,257,theory(equality)])).
% cnf(2026,negated_conjecture,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(X4,esk8_3(X1,X2,X3))|element(esk12_7(X1,X2,X3,X4,X4,esk21_1(X5),esk22_1(X5)),powerset(the_carrier(X1)))|in(esk19_1(X5),X5)|esk19_1(X5)!=X4|~one_sorted_str(X1)|~in(X4,cartesian_product2(X2,X3))|~in(esk21_1(X5),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[505,257,theory(equality)])).
% cnf(2041,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)))!=esk22_1(X2)|~one_sorted_str(esk16_0)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(spm,[status(thm)],[1977,250,theory(equality)])).
% cnf(2042,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)))!=esk22_1(X2)|$false|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(rw,[status(thm)],[2041,251,theory(equality)])).
% cnf(2043,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)))!=esk22_1(X2)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(cn,[status(thm)],[2042,theory(equality)])).
% cnf(2046,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)),inference(spm,[status(thm)],[2043,255,theory(equality)])).
% cnf(2200,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))),inference(spm,[status(thm)],[1240,1338,theory(equality)])).
% cnf(2206,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,X1))|in(esk19_1(esk8_3(esk16_0,esk17_0,X1)),cartesian_product2(esk17_0,esk18_0))),inference(spm,[status(thm)],[1242,1412,theory(equality)])).
% cnf(2229,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(ef,[status(thm)],[2200,theory(equality)])).
% cnf(2246,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(ef,[status(thm)],[2206,theory(equality)])).
% cnf(2306,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)))!=esk22_1(X2)|~one_sorted_str(esk16_0)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(spm,[status(thm)],[1978,250,theory(equality)])).
% cnf(2307,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)))!=esk22_1(X2)|$false|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(rw,[status(thm)],[2306,251,theory(equality)])).
% cnf(2308,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)))!=esk22_1(X2)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(cn,[status(thm)],[2307,theory(equality)])).
% cnf(2320,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)),inference(spm,[status(thm)],[2308,255,theory(equality)])).
% cnf(2957,negated_conjecture,(in(esk19_1(X1),esk8_3(X2,X3,X4))|in(esk19_1(X1),X1)|element(esk12_7(X2,X3,X4,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(X2)))|esk3_3(X2,X3,X4)!=esk2_3(X2,X3,X4)|~one_sorted_str(X2)|~in(esk19_1(X1),cartesian_product2(X3,X4))|~in(esk21_1(X1),X3)|~element(X3,powerset(powerset(the_carrier(X2))))),inference(er,[status(thm)],[1720,theory(equality)])).
% cnf(2992,negated_conjecture,(esk12_7(X1,esk17_0,X2,esk19_1(X3),esk19_1(X3),esk21_1(X3),esk22_1(X3))=esk21_1(X3)|in(esk19_1(X3),esk8_3(X1,esk17_0,X2))|in(esk19_1(X3),X3)|esk3_3(X1,esk17_0,X2)!=esk2_3(X1,esk17_0,X2)|~one_sorted_str(X1)|~in(esk19_1(X3),cartesian_product2(esk17_0,X2))|~element(esk17_0,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[2006,256,theory(equality)])).
% cnf(2993,negated_conjecture,(esk12_7(X1,X2,X3,esk19_1(X4),esk19_1(X4),esk21_1(X4),esk22_1(X4))=esk21_1(X4)|esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(esk19_1(X4),esk8_3(X1,X2,X3))|in(esk19_1(X4),X4)|~one_sorted_str(X1)|~in(esk19_1(X4),cartesian_product2(X2,X3))|~in(esk21_1(X4),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[1672,theory(equality)])).
% cnf(2994,negated_conjecture,(esk12_7(X1,X2,X3,esk19_1(X4),esk19_1(X4),esk21_1(X4),esk22_1(X4))=esk21_1(X4)|esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(esk19_1(X4),esk8_3(X1,X2,X3))|in(esk19_1(X4),X4)|~one_sorted_str(X1)|~in(esk19_1(X4),cartesian_product2(X2,X3))|~in(esk21_1(X4),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[1674,theory(equality)])).
% cnf(3034,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|~one_sorted_str(esk16_0)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(spm,[status(thm)],[2992,250,theory(equality)])).
% cnf(3035,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|$false|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(rw,[status(thm)],[3034,251,theory(equality)])).
% cnf(3036,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|esk3_3(esk16_0,esk17_0,X1)!=esk2_3(esk16_0,esk17_0,X1)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(cn,[status(thm)],[3035,theory(equality)])).
% cnf(3051,negated_conjecture,(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1))=esk21_1(X1)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|esk3_3(esk16_0,esk17_0,esk18_0)!=esk2_3(esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[3036,255,theory(equality)])).
% cnf(3438,negated_conjecture,(in(esk19_1(X1),esk8_3(X2,esk17_0,X3))|in(esk19_1(X1),X1)|element(esk12_7(X2,esk17_0,X3,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(X2)))|esk3_3(X2,esk17_0,X3)!=esk2_3(X2,esk17_0,X3)|~one_sorted_str(X2)|~in(esk19_1(X1),cartesian_product2(esk17_0,X3))|~element(esk17_0,powerset(powerset(the_carrier(X2))))),inference(spm,[status(thm)],[2957,256,theory(equality)])).
% cnf(3748,negated_conjecture,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|in(esk19_1(X4),esk8_3(X1,X2,X3))|in(esk19_1(X4),X4)|element(esk12_7(X1,X2,X3,esk19_1(X4),esk19_1(X4),esk21_1(X4),esk22_1(X4)),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(esk19_1(X4),cartesian_product2(X2,X3))|~in(esk21_1(X4),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[2008,theory(equality)])).
% cnf(3749,negated_conjecture,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|in(esk19_1(X4),esk8_3(X1,X2,X3))|in(esk19_1(X4),X4)|element(esk12_7(X1,X2,X3,esk19_1(X4),esk19_1(X4),esk21_1(X4),esk22_1(X4)),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(esk19_1(X4),cartesian_product2(X2,X3))|~in(esk21_1(X4),X2)|~element(X2,powerset(powerset(the_carrier(X1))))),inference(er,[status(thm)],[2026,theory(equality)])).
% cnf(3844,negated_conjecture,(esk12_7(X1,esk17_0,X2,esk19_1(X3),esk19_1(X3),esk21_1(X3),esk22_1(X3))=esk21_1(X3)|esk1_3(X1,esk17_0,X2)=esk2_3(X1,esk17_0,X2)|in(esk19_1(X3),esk8_3(X1,esk17_0,X2))|in(esk19_1(X3),X3)|~one_sorted_str(X1)|~in(esk19_1(X3),cartesian_product2(esk17_0,X2))|~element(esk17_0,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[2993,256,theory(equality)])).
% cnf(3845,negated_conjecture,(esk12_7(X1,esk17_0,X2,esk19_1(X3),esk19_1(X3),esk21_1(X3),esk22_1(X3))=esk21_1(X3)|esk1_3(X1,esk17_0,X2)=esk3_3(X1,esk17_0,X2)|in(esk19_1(X3),esk8_3(X1,esk17_0,X2))|in(esk19_1(X3),X3)|~one_sorted_str(X1)|~in(esk19_1(X3),cartesian_product2(esk17_0,X2))|~element(esk17_0,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[2994,256,theory(equality)])).
% cnf(3846,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,X2))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,X2,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))|esk3_3(esk16_0,esk17_0,X2)!=esk2_3(esk16_0,esk17_0,X2)|~one_sorted_str(esk16_0)|~in(esk19_1(X1),cartesian_product2(esk17_0,X2))),inference(spm,[status(thm)],[3438,250,theory(equality)])).
% cnf(3847,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,X2))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,X2,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))|esk3_3(esk16_0,esk17_0,X2)!=esk2_3(esk16_0,esk17_0,X2)|$false|~in(esk19_1(X1),cartesian_product2(esk17_0,X2))),inference(rw,[status(thm)],[3846,251,theory(equality)])).
% cnf(3848,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,X2))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,X2,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))|esk3_3(esk16_0,esk17_0,X2)!=esk2_3(esk16_0,esk17_0,X2)|~in(esk19_1(X1),cartesian_product2(esk17_0,X2))),inference(cn,[status(thm)],[3847,theory(equality)])).
% cnf(3869,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))|esk3_3(esk16_0,esk17_0,esk18_0)!=esk2_3(esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[3848,255,theory(equality)])).
% cnf(4440,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|~one_sorted_str(esk16_0)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(spm,[status(thm)],[3844,250,theory(equality)])).
% cnf(4441,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|$false|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(rw,[status(thm)],[4440,251,theory(equality)])).
% cnf(4442,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(cn,[status(thm)],[4441,theory(equality)])).
% cnf(4451,negated_conjecture,(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk21_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk22_1(esk8_3(esk16_0,esk17_0,esk18_0)))=esk21_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(spm,[status(thm)],[4442,2229,theory(equality)])).
% cnf(4465,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|~one_sorted_str(esk16_0)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(spm,[status(thm)],[3845,250,theory(equality)])).
% cnf(4466,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|$false|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(rw,[status(thm)],[4465,251,theory(equality)])).
% cnf(4467,negated_conjecture,(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2))=esk21_1(X2)|esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(cn,[status(thm)],[4466,theory(equality)])).
% cnf(4488,negated_conjecture,(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1))=esk21_1(X1)|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)),inference(spm,[status(thm)],[4467,255,theory(equality)])).
% cnf(4564,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk21_1(X1))!=esk22_1(X1)),inference(spm,[status(thm)],[2320,4488,theory(equality)])).
% cnf(4640,negated_conjecture,(esk1_3(X1,esk17_0,X2)=esk2_3(X1,esk17_0,X2)|in(esk19_1(X3),esk8_3(X1,esk17_0,X2))|in(esk19_1(X3),X3)|element(esk12_7(X1,esk17_0,X2,esk19_1(X3),esk19_1(X3),esk21_1(X3),esk22_1(X3)),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(esk19_1(X3),cartesian_product2(esk17_0,X2))|~element(esk17_0,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[3748,256,theory(equality)])).
% cnf(4641,negated_conjecture,(esk1_3(X1,esk17_0,X2)=esk3_3(X1,esk17_0,X2)|in(esk19_1(X3),esk8_3(X1,esk17_0,X2))|in(esk19_1(X3),X3)|element(esk12_7(X1,esk17_0,X2,esk19_1(X3),esk19_1(X3),esk21_1(X3),esk22_1(X3)),powerset(the_carrier(X1)))|~one_sorted_str(X1)|~in(esk19_1(X3),cartesian_product2(esk17_0,X2))|~element(esk17_0,powerset(powerset(the_carrier(X1))))),inference(spm,[status(thm)],[3749,256,theory(equality)])).
% cnf(4707,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))|subset_complement(the_carrier(esk16_0),esk21_1(esk8_3(esk16_0,esk17_0,esk18_0)))!=esk22_1(esk8_3(esk16_0,esk17_0,esk18_0))),inference(spm,[status(thm)],[2046,4451,theory(equality)])).
% cnf(4851,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|element(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)),powerset(the_carrier(esk16_0)))|~one_sorted_str(esk16_0)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(spm,[status(thm)],[4640,250,theory(equality)])).
% cnf(4852,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|element(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)),powerset(the_carrier(esk16_0)))|$false|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(rw,[status(thm)],[4851,251,theory(equality)])).
% cnf(4853,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk2_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|element(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)),powerset(the_carrier(esk16_0)))|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(cn,[status(thm)],[4852,theory(equality)])).
% cnf(4854,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|element(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)),powerset(the_carrier(esk16_0)))|~one_sorted_str(esk16_0)|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(spm,[status(thm)],[4641,250,theory(equality)])).
% cnf(4855,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|element(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)),powerset(the_carrier(esk16_0)))|$false|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(rw,[status(thm)],[4854,251,theory(equality)])).
% cnf(4856,negated_conjecture,(esk1_3(esk16_0,esk17_0,X1)=esk3_3(esk16_0,esk17_0,X1)|in(esk19_1(X2),esk8_3(esk16_0,esk17_0,X1))|in(esk19_1(X2),X2)|element(esk12_7(esk16_0,esk17_0,X1,esk19_1(X2),esk19_1(X2),esk21_1(X2),esk22_1(X2)),powerset(the_carrier(esk16_0)))|~in(esk19_1(X2),cartesian_product2(esk17_0,X1))),inference(cn,[status(thm)],[4855,theory(equality)])).
% cnf(7938,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))),inference(spm,[status(thm)],[4853,255,theory(equality)])).
% cnf(7970,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))),inference(spm,[status(thm)],[4856,255,theory(equality)])).
% cnf(8129,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))|element(esk21_1(esk8_3(esk16_0,esk17_0,esk18_0)),powerset(the_carrier(esk16_0)))),inference(spm,[status(thm)],[7938,4451,theory(equality)])).
% cnf(8210,negated_conjecture,(esk22_1(esk8_3(esk16_0,esk17_0,esk18_0))=subset_complement(the_carrier(esk16_0),esk21_1(esk8_3(esk16_0,esk17_0,esk18_0)))|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[365,8129,theory(equality)])).
% cnf(8211,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(csr,[status(thm)],[8210,4707])).
% cnf(8218,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|~one_sorted_str(esk16_0)|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(spm,[status(thm)],[82,8211,theory(equality)])).
% cnf(8226,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|~one_sorted_str(esk16_0)|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(spm,[status(thm)],[510,8211,theory(equality)])).
% cnf(8238,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[400,8211,theory(equality)])).
% cnf(8273,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|$false|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[8218,251,theory(equality)])).
% cnf(8274,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|$false|$false),inference(rw,[status(thm)],[8273,250,theory(equality)])).
% cnf(8275,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(cn,[status(thm)],[8274,theory(equality)])).
% cnf(8297,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|$false|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[8226,251,theory(equality)])).
% cnf(8298,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|$false|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|$false),inference(rw,[status(thm)],[8297,250,theory(equality)])).
% cnf(8299,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))),inference(cn,[status(thm)],[8298,theory(equality)])).
% cnf(8929,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[253,8275,theory(equality)])).
% cnf(8930,negated_conjecture,(element(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[254,8275,theory(equality)])).
% cnf(8931,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[252,8275,theory(equality)])).
% cnf(9014,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(csr,[status(thm)],[8931,8238])).
% cnf(9015,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[9014,theory(equality)])).
% cnf(9016,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(csr,[status(thm)],[9015,8211])).
% cnf(9017,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),inference(csr,[status(thm)],[9016,2229])).
% cnf(10268,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|element(esk21_1(X1),powerset(the_carrier(esk16_0)))),inference(spm,[status(thm)],[7970,4488,theory(equality)])).
% cnf(10302,negated_conjecture,(esk22_1(X1)=subset_complement(the_carrier(esk16_0),esk21_1(X1))|in(esk19_1(X1),X1)|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))),inference(spm,[status(thm)],[365,10268,theory(equality)])).
% cnf(10303,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)),inference(csr,[status(thm)],[10302,4564])).
% cnf(10304,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(ef,[status(thm)],[10303,theory(equality)])).
% cnf(10674,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|~one_sorted_str(esk16_0)|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(spm,[status(thm)],[81,10304,theory(equality)])).
% cnf(10682,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|~one_sorted_str(esk16_0)|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(spm,[status(thm)],[511,10304,theory(equality)])).
% cnf(10694,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[406,10304,theory(equality)])).
% cnf(10731,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|$false|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[10674,251,theory(equality)])).
% cnf(10732,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|$false|$false),inference(rw,[status(thm)],[10731,250,theory(equality)])).
% cnf(10733,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)),inference(cn,[status(thm)],[10732,theory(equality)])).
% cnf(10755,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|$false|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[10682,251,theory(equality)])).
% cnf(10756,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|$false|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|$false),inference(rw,[status(thm)],[10755,250,theory(equality)])).
% cnf(10757,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))),inference(cn,[status(thm)],[10756,theory(equality)])).
% cnf(11112,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[253,10733,theory(equality)])).
% cnf(11113,negated_conjecture,(element(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[254,10733,theory(equality)])).
% cnf(11114,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[252,10733,theory(equality)])).
% cnf(11201,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(csr,[status(thm)],[11114,10694])).
% cnf(35546,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(csr,[status(thm)],[8930,8238])).
% cnf(35547,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[35546,theory(equality)])).
% cnf(35549,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(csr,[status(thm)],[11113,10694])).
% cnf(35550,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[35549,theory(equality)])).
% cnf(41514,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(csr,[status(thm)],[35547,8211])).
% cnf(41515,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))),inference(csr,[status(thm)],[41514,2229])).
% cnf(41639,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(csr,[status(thm)],[35550,10304])).
% cnf(41640,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))),inference(csr,[status(thm)],[41639,2246])).
% cnf(42678,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(csr,[status(thm)],[8929,8238])).
% cnf(42679,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[42678,theory(equality)])).
% cnf(42680,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(csr,[status(thm)],[11112,10694])).
% cnf(45427,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(csr,[status(thm)],[42679,8211])).
% cnf(45428,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(csr,[status(thm)],[45427,2229])).
% cnf(45429,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),inference(spm,[status(thm)],[9017,45428,theory(equality)])).
% cnf(45434,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))),inference(spm,[status(thm)],[41515,45428,theory(equality)])).
% cnf(45496,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[8299,45434,theory(equality)])).
% cnf(45508,negated_conjecture,(esk1_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(csr,[status(thm)],[45496,45429])).
% cnf(45834,negated_conjecture,(esk2_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))),inference(rw,[status(thm)],[41640,45508,theory(equality)])).
% cnf(45952,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk2_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(rw,[status(thm)],[42680,45508,theory(equality)])).
% cnf(45954,negated_conjecture,(esk2_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(rw,[status(thm)],[11201,45508,theory(equality)])).
% cnf(45962,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk2_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))),inference(rw,[status(thm)],[10757,45508,theory(equality)])).
% cnf(46031,negated_conjecture,(esk2_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(rw,[status(thm)],[10304,45508,theory(equality)])).
% cnf(46210,negated_conjecture,(esk2_3(esk16_0,esk17_0,esk18_0)=esk3_3(esk16_0,esk17_0,esk18_0)|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(rw,[status(thm)],[2246,45508,theory(equality)])).
% cnf(47375,negated_conjecture,(esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[45954,theory(equality)])).
% cnf(47400,negated_conjecture,(esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(csr,[status(thm)],[47375,46031])).
% cnf(47401,negated_conjecture,(esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),inference(csr,[status(thm)],[47400,46210])).
% cnf(51068,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[45952,theory(equality)])).
% cnf(52385,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(csr,[status(thm)],[51068,46031])).
% cnf(52386,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(csr,[status(thm)],[52385,46210])).
% cnf(52389,negated_conjecture,(esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))),inference(spm,[status(thm)],[45834,52386,theory(equality)])).
% cnf(52390,negated_conjecture,(esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)|subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),inference(spm,[status(thm)],[47401,52386,theory(equality)])).
% cnf(52441,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[45962,52389,theory(equality)])).
% cnf(52449,negated_conjecture,(esk3_3(esk16_0,esk17_0,esk18_0)=esk2_3(esk16_0,esk17_0,esk18_0)),inference(csr,[status(thm)],[52441,52390])).
% cnf(52450,negated_conjecture,(esk9_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(spm,[status(thm)],[939,52449,theory(equality)])).
% cnf(52452,negated_conjecture,(in(esk9_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),cartesian_product2(esk17_0,esk18_0))|in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(spm,[status(thm)],[1218,52449,theory(equality)])).
% cnf(52935,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))|$false),inference(rw,[status(thm)],[3869,52449,theory(equality)])).
% cnf(52936,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|element(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)),powerset(the_carrier(esk16_0)))),inference(cn,[status(thm)],[52935,theory(equality)])).
% cnf(52940,negated_conjecture,(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1))=esk21_1(X1)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|$false),inference(rw,[status(thm)],[3051,52449,theory(equality)])).
% cnf(52941,negated_conjecture,(esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1))=esk21_1(X1)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)),inference(cn,[status(thm)],[52940,theory(equality)])).
% cnf(52946,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)|$false),inference(rw,[status(thm)],[1610,52449,theory(equality)])).
% cnf(52947,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk12_7(esk16_0,esk17_0,esk18_0,esk19_1(X1),esk19_1(X1),esk21_1(X1),esk22_1(X1)))!=esk22_1(X1)),inference(cn,[status(thm)],[52946,theory(equality)])).
% cnf(54149,negated_conjecture,(in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))),inference(spm,[status(thm)],[52452,52450,theory(equality)])).
% cnf(54287,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|subset_complement(the_carrier(esk16_0),esk21_1(X1))!=esk22_1(X1)),inference(spm,[status(thm)],[52947,52941,theory(equality)])).
% cnf(54345,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)|element(esk21_1(X1),powerset(the_carrier(esk16_0)))),inference(spm,[status(thm)],[52936,52941,theory(equality)])).
% cnf(54378,negated_conjecture,(esk22_1(X1)=subset_complement(the_carrier(esk16_0),esk21_1(X1))|in(esk19_1(X1),X1)|in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))),inference(spm,[status(thm)],[365,54345,theory(equality)])).
% cnf(54379,negated_conjecture,(in(esk19_1(X1),esk8_3(esk16_0,esk17_0,esk18_0))|in(esk19_1(X1),X1)),inference(csr,[status(thm)],[54378,54287])).
% cnf(54380,negated_conjecture,(in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(ef,[status(thm)],[54379,theory(equality)])).
% cnf(55092,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|esk3_3(esk16_0,esk17_0,esk18_0)!=esk2_3(esk16_0,esk17_0,esk18_0)|~one_sorted_str(esk16_0)|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(spm,[status(thm)],[80,54380,theory(equality)])).
% cnf(55096,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|esk3_3(esk16_0,esk17_0,esk18_0)!=esk2_3(esk16_0,esk17_0,esk18_0)|~one_sorted_str(esk16_0)|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(spm,[status(thm)],[473,54380,theory(equality)])).
% cnf(55108,negated_conjecture,(in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)|esk3_3(esk16_0,esk17_0,esk18_0)!=esk2_3(esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[384,54380,theory(equality)])).
% cnf(55161,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|$false|~one_sorted_str(esk16_0)|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[55092,52449,theory(equality)])).
% cnf(55162,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|$false|$false|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[55161,251,theory(equality)])).
% cnf(55163,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))|$false|$false|$false),inference(rw,[status(thm)],[55162,250,theory(equality)])).
% cnf(55164,negated_conjecture,(ordered_pair(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),inference(cn,[status(thm)],[55163,theory(equality)])).
% cnf(55175,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|$false|~one_sorted_str(esk16_0)|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[55096,52449,theory(equality)])).
% cnf(55176,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|$false|$false|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|~element(esk17_0,powerset(powerset(the_carrier(esk16_0))))),inference(rw,[status(thm)],[55175,251,theory(equality)])).
% cnf(55177,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|$false|$false|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))|$false),inference(rw,[status(thm)],[55176,250,theory(equality)])).
% cnf(55178,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|~element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))),inference(cn,[status(thm)],[55177,theory(equality)])).
% cnf(55212,negated_conjecture,(in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)|$false),inference(rw,[status(thm)],[55108,52449,theory(equality)])).
% cnf(55213,negated_conjecture,(in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(cn,[status(thm)],[55212,theory(equality)])).
% cnf(55700,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[253,55164,theory(equality)])).
% cnf(55701,negated_conjecture,(element(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[254,55164,theory(equality)])).
% cnf(55702,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|~in(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk17_0)),inference(spm,[status(thm)],[252,55164,theory(equality)])).
% cnf(55746,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|$false),inference(rw,[status(thm)],[55700,55213,theory(equality)])).
% cnf(55747,negated_conjecture,(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(cn,[status(thm)],[55746,theory(equality)])).
% cnf(55748,negated_conjecture,(element(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|$false),inference(rw,[status(thm)],[55701,55213,theory(equality)])).
% cnf(55749,negated_conjecture,(element(esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(cn,[status(thm)],[55748,theory(equality)])).
% cnf(55750,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)|$false),inference(rw,[status(thm)],[55702,55213,theory(equality)])).
% cnf(55751,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk20_3(X1,esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))!=esk19_1(X1)|~in(esk19_1(X1),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(X1),X1)),inference(cn,[status(thm)],[55750,theory(equality)])).
% cnf(55808,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[55751,theory(equality)])).
% cnf(55809,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|$false|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(rw,[status(thm)],[55808,54149,theory(equality)])).
% cnf(55810,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|$false|$false),inference(rw,[status(thm)],[55809,54380,theory(equality)])).
% cnf(55811,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),inference(cn,[status(thm)],[55810,theory(equality)])).
% cnf(57897,negated_conjecture,(element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[55749,theory(equality)])).
% cnf(57898,negated_conjecture,(element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|$false|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(rw,[status(thm)],[57897,54149,theory(equality)])).
% cnf(57899,negated_conjecture,(element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))|$false|$false),inference(rw,[status(thm)],[57898,54380,theory(equality)])).
% cnf(57900,negated_conjecture,(element(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),powerset(the_carrier(esk16_0)))),inference(cn,[status(thm)],[57899,theory(equality)])).
% cnf(58322,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),cartesian_product2(esk17_0,esk18_0))|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(er,[status(thm)],[55747,theory(equality)])).
% cnf(58323,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|$false|~in(esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)),esk8_3(esk16_0,esk17_0,esk18_0))),inference(rw,[status(thm)],[58322,54149,theory(equality)])).
% cnf(58324,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))|$false|$false),inference(rw,[status(thm)],[58323,54380,theory(equality)])).
% cnf(58325,negated_conjecture,(esk20_3(esk8_3(esk16_0,esk17_0,esk18_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))=esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),inference(cn,[status(thm)],[58324,theory(equality)])).
% cnf(58343,negated_conjecture,(subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))!=esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))),inference(rw,[status(thm)],[55811,58325,theory(equality)])).
% cnf(58359,negated_conjecture,(element(esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))),powerset(the_carrier(esk16_0)))),inference(rw,[status(thm)],[57900,58325,theory(equality)])).
% cnf(58464,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))|$false),inference(rw,[status(thm)],[55178,58359,theory(equality)])).
% cnf(58465,negated_conjecture,(esk11_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0)))=subset_complement(the_carrier(esk16_0),esk10_4(esk16_0,esk17_0,esk18_0,esk19_1(esk8_3(esk16_0,esk17_0,esk18_0))))),inference(cn,[status(thm)],[58464,theory(equality)])).
% cnf(58466,negated_conjecture,($false),inference(sr,[status(thm)],[58465,58343,theory(equality)])).
% cnf(58467,negated_conjecture,($false),58466,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 12215
% # ...of these trivial : 56
% # ...subsumed : 8166
% # ...remaining for further processing: 3993
% # Other redundant clauses eliminated : 27
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 220
% # Backward-rewritten : 1975
% # Generated clauses : 36440
% # ...of the previous two non-trivial : 35973
% # Contextual simplify-reflections : 10389
% # Paramodulations : 36028
% # Factorizations : 32
% # Equation resolutions : 380
% # Current number of processed clauses: 1771
% # Positive orientable unit clauses: 29
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 9
% # Non-unit-clauses : 1733
% # Current number of unprocessed clauses: 4558
% # ...number of literals in the above : 25832
% # Clause-clause subsumption calls (NU) : 402787
% # Rec. Clause-clause subsumption calls : 156807
% # Unit Clause-clause subsumption calls : 1748
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 54
% # Indexed BW rewrite successes : 11
% # Backwards rewriting index: 514 leaves, 2.66+/-3.327 terms/leaf
% # Paramod-from index: 86 leaves, 2.01+/-2.802 terms/leaf
% # Paramod-into index: 236 leaves, 1.89+/-2.144 terms/leaf
% # -------------------------------------------------
% # User time : 4.934 s
% # System time : 0.078 s
% # Total time : 5.012 s
% # Maximum resident set size: 0 pages
% PrfWatch: 5.96 CPU 6.09 WC
% FINAL PrfWatch: 5.96 CPU 6.09 WC
% SZS output end Solution for /tmp/SystemOnTPTP13865/SEU332+1.tptp
%
%------------------------------------------------------------------------------