TSTP Solution File: SEU364+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU364+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 : art01.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 04:04:29 EST 2010
% Result : Theorem 3.10s
% Output : Solution 3.10s
% 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/SystemOnTPTP10847/SEU364+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP10847/SEU364+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10847/SEU364+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 10943
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.95 CPU 2.02 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12))))))),file('/tmp/SRASS.s.p', s1_tarski__e11_2_1__waybel_0__1)).
% fof(21, conjecture,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7)))))),file('/tmp/SRASS.s.p', s1_xboole_0__e11_2_1__waybel_0__1)).
% fof(22, negated_conjecture,~(![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7))))))),inference(assume_negation,[status(cth)],[21])).
% fof(24, plain,![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>(![X4]:![X5]:![X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))=>X5=X6)=>?[X4]:![X5]:(in(X5,X4)<=>?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12))))))),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(34, negated_conjecture,~(![X1]:![X2]:![X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))=>?[X4]:![X5]:(in(X5,X4)<=>(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7))))))),inference(fof_simplification,[status(thm)],[22,theory(equality)])).
% fof(42, plain,![X1]:![X2]:![X3]:((((((empty_carrier(X1)|~(transitive_relstr(X1)))|~(rel_str(X1)))|~(element(X2,powerset(the_carrier(X1)))))|~(finite(X3)))|~(element(X3,powerset(X2))))|(?[X4]:?[X5]:?[X6]:((((X4=X5&?[X7]:(X7=X5&?[X8]:((element(X8,the_carrier(X1))&in(X8,X2))&relstr_set_smaller(X1,X7,X8))))&X4=X6)&?[X9]:(X9=X6&?[X10]:((element(X10,the_carrier(X1))&in(X10,X2))&relstr_set_smaller(X1,X9,X10))))&~(X5=X6))|?[X4]:![X5]:((~(in(X5,X4))|?[X6]:((in(X6,powerset(X3))&X6=X5)&?[X11]:(X11=X5&?[X12]:((element(X12,the_carrier(X1))&in(X12,X2))&relstr_set_smaller(X1,X11,X12)))))&(![X6]:((~(in(X6,powerset(X3)))|~(X6=X5))|![X11]:(~(X11=X5)|![X12]:((~(element(X12,the_carrier(X1)))|~(in(X12,X2)))|~(relstr_set_smaller(X1,X11,X12)))))|in(X5,X4))))),inference(fof_nnf,[status(thm)],[24])).
% fof(43, plain,![X13]:![X14]:![X15]:((((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))|(?[X16]:?[X17]:?[X18]:((((X16=X17&?[X19]:(X19=X17&?[X20]:((element(X20,the_carrier(X13))&in(X20,X14))&relstr_set_smaller(X13,X19,X20))))&X16=X18)&?[X21]:(X21=X18&?[X22]:((element(X22,the_carrier(X13))&in(X22,X14))&relstr_set_smaller(X13,X21,X22))))&~(X17=X18))|?[X23]:![X24]:((~(in(X24,X23))|?[X25]:((in(X25,powerset(X15))&X25=X24)&?[X26]:(X26=X24&?[X27]:((element(X27,the_carrier(X13))&in(X27,X14))&relstr_set_smaller(X13,X26,X27)))))&(![X28]:((~(in(X28,powerset(X15)))|~(X28=X24))|![X29]:(~(X29=X24)|![X30]:((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))))|in(X24,X23))))),inference(variable_rename,[status(thm)],[42])).
% fof(44, plain,![X13]:![X14]:![X15]:((((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))|(((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)&(esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)&((element(esk5_3(X13,X14,X15),the_carrier(X13))&in(esk5_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15)))))&esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15))&(esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)&((element(esk7_3(X13,X14,X15),the_carrier(X13))&in(esk7_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15)))))&~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15)))|![X24]:((~(in(X24,esk8_3(X13,X14,X15)))|((in(esk9_4(X13,X14,X15,X24),powerset(X15))&esk9_4(X13,X14,X15,X24)=X24)&(esk10_4(X13,X14,X15,X24)=X24&((element(esk11_4(X13,X14,X15,X24),the_carrier(X13))&in(esk11_4(X13,X14,X15,X24),X14))&relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))))))&(![X28]:((~(in(X28,powerset(X15)))|~(X28=X24))|![X29]:(~(X29=X24)|![X30]:((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))))|in(X24,esk8_3(X13,X14,X15)))))),inference(skolemize,[status(esa)],[43])).
% fof(45, plain,![X13]:![X14]:![X15]:![X24]:![X28]:![X29]:![X30]:((((((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15)))&(~(in(X24,esk8_3(X13,X14,X15)))|((in(esk9_4(X13,X14,X15,X24),powerset(X15))&esk9_4(X13,X14,X15,X24)=X24)&(esk10_4(X13,X14,X15,X24)=X24&((element(esk11_4(X13,X14,X15,X24),the_carrier(X13))&in(esk11_4(X13,X14,X15,X24),X14))&relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24)))))))|((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)&(esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)&((element(esk5_3(X13,X14,X15),the_carrier(X13))&in(esk5_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15)))))&esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15))&(esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)&((element(esk7_3(X13,X14,X15),the_carrier(X13))&in(esk7_3(X13,X14,X15),X14))&relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15)))))&~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))),inference(shift_quantors,[status(thm)],[44])).
% fof(46, plain,![X13]:![X14]:![X15]:![X24]:![X28]:![X29]:![X30]:(((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(((((~(element(X30,the_carrier(X13)))|~(in(X30,X14)))|~(relstr_set_smaller(X13,X29,X30)))|~(X29=X24))|(~(in(X28,powerset(X15)))|~(X28=X24)))|in(X24,esk8_3(X13,X14,X15))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(in(esk9_4(X13,X14,X15,X24),powerset(X15))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(esk9_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))))&(((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(esk10_4(X13,X14,X15,X24)=X24|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(element(esk11_4(X13,X14,X15,X24),the_carrier(X13))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(in(esk11_4(X13,X14,X15,X24),X14)|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))))&((((((esk1_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&(((esk4_3(X13,X14,X15)=esk2_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk5_3(X13,X14,X15),the_carrier(X13))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk5_3(X13,X14,X15),X14)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk4_3(X13,X14,X15),esk5_3(X13,X14,X15))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((esk1_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&(((esk6_3(X13,X14,X15)=esk3_3(X13,X14,X15)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((((element(esk7_3(X13,X14,X15),the_carrier(X13))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))&((in(esk7_3(X13,X14,X15),X14)|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))&((relstr_set_smaller(X13,esk6_3(X13,X14,X15),esk7_3(X13,X14,X15))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14))))))))&((~(esk2_3(X13,X14,X15)=esk3_3(X13,X14,X15))|(relstr_set_smaller(X13,esk10_4(X13,X14,X15,X24),esk11_4(X13,X14,X15,X24))|~(in(X24,esk8_3(X13,X14,X15)))))|(((((empty_carrier(X13)|~(transitive_relstr(X13)))|~(rel_str(X13)))|~(element(X14,powerset(the_carrier(X13)))))|~(finite(X15)))|~(element(X15,powerset(X14)))))))))),inference(distribute,[status(thm)],[45])).
% cnf(47,plain,(empty_carrier(X3)|relstr_set_smaller(X3,esk10_4(X3,X2,X1,X4),esk11_4(X3,X2,X1,X4))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(52,plain,(empty_carrier(X3)|relstr_set_smaller(X3,esk10_4(X3,X2,X1,X4),esk11_4(X3,X2,X1,X4))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(57,plain,(empty_carrier(X3)|relstr_set_smaller(X3,esk10_4(X3,X2,X1,X4),esk11_4(X3,X2,X1,X4))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(58,plain,(empty_carrier(X3)|in(esk11_4(X3,X2,X1,X4),X2)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(63,plain,(empty_carrier(X3)|in(esk11_4(X3,X2,X1,X4),X2)|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(68,plain,(empty_carrier(X3)|in(esk11_4(X3,X2,X1,X4),X2)|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(69,plain,(empty_carrier(X3)|element(esk11_4(X3,X2,X1,X4),the_carrier(X3))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(74,plain,(empty_carrier(X3)|element(esk11_4(X3,X2,X1,X4),the_carrier(X3))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(79,plain,(empty_carrier(X3)|element(esk11_4(X3,X2,X1,X4),the_carrier(X3))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(80,plain,(empty_carrier(X3)|esk10_4(X3,X2,X1,X4)=X4|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(85,plain,(empty_carrier(X3)|esk10_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(90,plain,(empty_carrier(X3)|esk10_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(91,plain,(empty_carrier(X3)|esk9_4(X3,X2,X1,X4)=X4|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(96,plain,(empty_carrier(X3)|esk9_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(101,plain,(empty_carrier(X3)|esk9_4(X3,X2,X1,X4)=X4|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(102,plain,(empty_carrier(X3)|in(esk9_4(X3,X2,X1,X4),powerset(X1))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(107,plain,(empty_carrier(X3)|in(esk9_4(X3,X2,X1,X4),powerset(X1))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(112,plain,(empty_carrier(X3)|in(esk9_4(X3,X2,X1,X4),powerset(X1))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|~in(X4,esk8_3(X3,X2,X1))),inference(split_conjunct,[status(thm)],[46])).
% cnf(113,plain,(empty_carrier(X3)|in(X4,esk8_3(X3,X2,X1))|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|X5!=X4|~in(X5,powerset(X1))|X6!=X4|~relstr_set_smaller(X3,X6,X7)|~in(X7,X2)|~element(X7,the_carrier(X3))|esk2_3(X3,X2,X1)!=esk3_3(X3,X2,X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(118,plain,(empty_carrier(X3)|in(X4,esk8_3(X3,X2,X1))|esk1_3(X3,X2,X1)=esk3_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|X5!=X4|~in(X5,powerset(X1))|X6!=X4|~relstr_set_smaller(X3,X6,X7)|~in(X7,X2)|~element(X7,the_carrier(X3))),inference(split_conjunct,[status(thm)],[46])).
% cnf(123,plain,(empty_carrier(X3)|in(X4,esk8_3(X3,X2,X1))|esk1_3(X3,X2,X1)=esk2_3(X3,X2,X1)|~element(X1,powerset(X2))|~finite(X1)|~element(X2,powerset(the_carrier(X3)))|~rel_str(X3)|~transitive_relstr(X3)|X5!=X4|~in(X5,powerset(X1))|X6!=X4|~relstr_set_smaller(X3,X6,X7)|~in(X7,X2)|~element(X7,the_carrier(X3))),inference(split_conjunct,[status(thm)],[46])).
% fof(183, negated_conjecture,?[X1]:?[X2]:?[X3]:((((((~(empty_carrier(X1))&transitive_relstr(X1))&rel_str(X1))&element(X2,powerset(the_carrier(X1))))&finite(X3))&element(X3,powerset(X2)))&![X4]:?[X5]:((~(in(X5,X4))|(~(in(X5,powerset(X3)))|![X6]:(~(X6=X5)|![X7]:((~(element(X7,the_carrier(X1)))|~(in(X7,X2)))|~(relstr_set_smaller(X1,X6,X7))))))&(in(X5,X4)|(in(X5,powerset(X3))&?[X6]:(X6=X5&?[X7]:((element(X7,the_carrier(X1))&in(X7,X2))&relstr_set_smaller(X1,X6,X7))))))),inference(fof_nnf,[status(thm)],[34])).
% fof(184, negated_conjecture,?[X8]:?[X9]:?[X10]:((((((~(empty_carrier(X8))&transitive_relstr(X8))&rel_str(X8))&element(X9,powerset(the_carrier(X8))))&finite(X10))&element(X10,powerset(X9)))&![X11]:?[X12]:((~(in(X12,X11))|(~(in(X12,powerset(X10)))|![X13]:(~(X13=X12)|![X14]:((~(element(X14,the_carrier(X8)))|~(in(X14,X9)))|~(relstr_set_smaller(X8,X13,X14))))))&(in(X12,X11)|(in(X12,powerset(X10))&?[X15]:(X15=X12&?[X16]:((element(X16,the_carrier(X8))&in(X16,X9))&relstr_set_smaller(X8,X15,X16))))))),inference(variable_rename,[status(thm)],[183])).
% fof(185, negated_conjecture,((((((~(empty_carrier(esk21_0))&transitive_relstr(esk21_0))&rel_str(esk21_0))&element(esk22_0,powerset(the_carrier(esk21_0))))&finite(esk23_0))&element(esk23_0,powerset(esk22_0)))&![X11]:((~(in(esk24_1(X11),X11))|(~(in(esk24_1(X11),powerset(esk23_0)))|![X13]:(~(X13=esk24_1(X11))|![X14]:((~(element(X14,the_carrier(esk21_0)))|~(in(X14,esk22_0)))|~(relstr_set_smaller(esk21_0,X13,X14))))))&(in(esk24_1(X11),X11)|(in(esk24_1(X11),powerset(esk23_0))&(esk25_1(X11)=esk24_1(X11)&((element(esk26_1(X11),the_carrier(esk21_0))&in(esk26_1(X11),esk22_0))&relstr_set_smaller(esk21_0,esk25_1(X11),esk26_1(X11)))))))),inference(skolemize,[status(esa)],[184])).
% fof(186, negated_conjecture,![X11]:![X13]:![X14]:(((((((~(element(X14,the_carrier(esk21_0)))|~(in(X14,esk22_0)))|~(relstr_set_smaller(esk21_0,X13,X14)))|~(X13=esk24_1(X11)))|~(in(esk24_1(X11),powerset(esk23_0))))|~(in(esk24_1(X11),X11)))&(in(esk24_1(X11),X11)|(in(esk24_1(X11),powerset(esk23_0))&(esk25_1(X11)=esk24_1(X11)&((element(esk26_1(X11),the_carrier(esk21_0))&in(esk26_1(X11),esk22_0))&relstr_set_smaller(esk21_0,esk25_1(X11),esk26_1(X11)))))))&(((((~(empty_carrier(esk21_0))&transitive_relstr(esk21_0))&rel_str(esk21_0))&element(esk22_0,powerset(the_carrier(esk21_0))))&finite(esk23_0))&element(esk23_0,powerset(esk22_0)))),inference(shift_quantors,[status(thm)],[185])).
% fof(187, negated_conjecture,![X11]:![X13]:![X14]:(((((((~(element(X14,the_carrier(esk21_0)))|~(in(X14,esk22_0)))|~(relstr_set_smaller(esk21_0,X13,X14)))|~(X13=esk24_1(X11)))|~(in(esk24_1(X11),powerset(esk23_0))))|~(in(esk24_1(X11),X11)))&((in(esk24_1(X11),powerset(esk23_0))|in(esk24_1(X11),X11))&((esk25_1(X11)=esk24_1(X11)|in(esk24_1(X11),X11))&(((element(esk26_1(X11),the_carrier(esk21_0))|in(esk24_1(X11),X11))&(in(esk26_1(X11),esk22_0)|in(esk24_1(X11),X11)))&(relstr_set_smaller(esk21_0,esk25_1(X11),esk26_1(X11))|in(esk24_1(X11),X11))))))&(((((~(empty_carrier(esk21_0))&transitive_relstr(esk21_0))&rel_str(esk21_0))&element(esk22_0,powerset(the_carrier(esk21_0))))&finite(esk23_0))&element(esk23_0,powerset(esk22_0)))),inference(distribute,[status(thm)],[186])).
% cnf(188,negated_conjecture,(element(esk23_0,powerset(esk22_0))),inference(split_conjunct,[status(thm)],[187])).
% cnf(189,negated_conjecture,(finite(esk23_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(190,negated_conjecture,(element(esk22_0,powerset(the_carrier(esk21_0)))),inference(split_conjunct,[status(thm)],[187])).
% cnf(191,negated_conjecture,(rel_str(esk21_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(192,negated_conjecture,(transitive_relstr(esk21_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(193,negated_conjecture,(~empty_carrier(esk21_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(194,negated_conjecture,(in(esk24_1(X1),X1)|relstr_set_smaller(esk21_0,esk25_1(X1),esk26_1(X1))),inference(split_conjunct,[status(thm)],[187])).
% cnf(195,negated_conjecture,(in(esk24_1(X1),X1)|in(esk26_1(X1),esk22_0)),inference(split_conjunct,[status(thm)],[187])).
% cnf(196,negated_conjecture,(in(esk24_1(X1),X1)|element(esk26_1(X1),the_carrier(esk21_0))),inference(split_conjunct,[status(thm)],[187])).
% cnf(197,negated_conjecture,(in(esk24_1(X1),X1)|esk25_1(X1)=esk24_1(X1)),inference(split_conjunct,[status(thm)],[187])).
% cnf(198,negated_conjecture,(in(esk24_1(X1),X1)|in(esk24_1(X1),powerset(esk23_0))),inference(split_conjunct,[status(thm)],[187])).
% cnf(199,negated_conjecture,(~in(esk24_1(X1),X1)|~in(esk24_1(X1),powerset(esk23_0))|X2!=esk24_1(X1)|~relstr_set_smaller(esk21_0,X2,X3)|~in(X3,esk22_0)|~element(X3,the_carrier(esk21_0))),inference(split_conjunct,[status(thm)],[187])).
% cnf(200,plain,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk8_3(X1,X2,X3))|X4!=X5|~relstr_set_smaller(X1,X4,X6)|~rel_str(X1)|~transitive_relstr(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X6,the_carrier(X1))|~element(X3,powerset(X2))|~finite(X3)|~in(X5,powerset(X3))|~in(X6,X2)),inference(er,[status(thm)],[123,theory(equality)])).
% cnf(201,plain,(esk1_3(X1,X2,X3)=esk2_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk8_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~rel_str(X1)|~transitive_relstr(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~finite(X3)|~in(X4,powerset(X3))|~in(X5,X2)),inference(er,[status(thm)],[200,theory(equality)])).
% cnf(202,plain,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk8_3(X1,X2,X3))|X4!=X5|~relstr_set_smaller(X1,X4,X6)|~rel_str(X1)|~transitive_relstr(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X6,the_carrier(X1))|~element(X3,powerset(X2))|~finite(X3)|~in(X5,powerset(X3))|~in(X6,X2)),inference(er,[status(thm)],[118,theory(equality)])).
% cnf(203,plain,(esk1_3(X1,X2,X3)=esk3_3(X1,X2,X3)|empty_carrier(X1)|in(X4,esk8_3(X1,X2,X3))|~relstr_set_smaller(X1,X4,X5)|~rel_str(X1)|~transitive_relstr(X1)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~finite(X3)|~in(X4,powerset(X3))|~in(X5,X2)),inference(er,[status(thm)],[202,theory(equality)])).
% cnf(216,plain,(empty_carrier(X1)|in(X2,esk8_3(X1,X3,X4))|esk3_3(X1,X3,X4)!=esk2_3(X1,X3,X4)|X2!=X5|~relstr_set_smaller(X1,X2,X6)|~rel_str(X1)|~transitive_relstr(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X6,the_carrier(X1))|~element(X4,powerset(X3))|~finite(X4)|~in(X5,powerset(X4))|~in(X6,X3)),inference(er,[status(thm)],[113,theory(equality)])).
% cnf(217,plain,(empty_carrier(X1)|in(X2,esk8_3(X1,X3,X4))|esk3_3(X1,X3,X4)!=esk2_3(X1,X3,X4)|~relstr_set_smaller(X1,X2,X5)|~rel_str(X1)|~transitive_relstr(X1)|~element(X3,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X4,powerset(X3))|~finite(X4)|~in(X2,powerset(X4))|~in(X5,X3)),inference(er,[status(thm)],[216,theory(equality)])).
% cnf(572,negated_conjecture,(empty_carrier(esk21_0)|in(esk25_1(X1),esk8_3(esk21_0,X2,X3))|in(esk24_1(X1),X1)|esk3_3(esk21_0,X2,X3)!=esk2_3(esk21_0,X2,X3)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(X2,powerset(the_carrier(esk21_0)))|~element(esk26_1(X1),the_carrier(esk21_0))|~element(X3,powerset(X2))|~finite(X3)|~in(esk25_1(X1),powerset(X3))|~in(esk26_1(X1),X2)),inference(spm,[status(thm)],[217,194,theory(equality)])).
% cnf(575,negated_conjecture,(empty_carrier(esk21_0)|in(esk25_1(X1),esk8_3(esk21_0,X2,X3))|in(esk24_1(X1),X1)|esk3_3(esk21_0,X2,X3)!=esk2_3(esk21_0,X2,X3)|$false|~transitive_relstr(esk21_0)|~element(X2,powerset(the_carrier(esk21_0)))|~element(esk26_1(X1),the_carrier(esk21_0))|~element(X3,powerset(X2))|~finite(X3)|~in(esk25_1(X1),powerset(X3))|~in(esk26_1(X1),X2)),inference(rw,[status(thm)],[572,191,theory(equality)])).
% cnf(576,negated_conjecture,(empty_carrier(esk21_0)|in(esk25_1(X1),esk8_3(esk21_0,X2,X3))|in(esk24_1(X1),X1)|esk3_3(esk21_0,X2,X3)!=esk2_3(esk21_0,X2,X3)|$false|$false|~element(X2,powerset(the_carrier(esk21_0)))|~element(esk26_1(X1),the_carrier(esk21_0))|~element(X3,powerset(X2))|~finite(X3)|~in(esk25_1(X1),powerset(X3))|~in(esk26_1(X1),X2)),inference(rw,[status(thm)],[575,192,theory(equality)])).
% cnf(577,negated_conjecture,(empty_carrier(esk21_0)|in(esk25_1(X1),esk8_3(esk21_0,X2,X3))|in(esk24_1(X1),X1)|esk3_3(esk21_0,X2,X3)!=esk2_3(esk21_0,X2,X3)|~element(X2,powerset(the_carrier(esk21_0)))|~element(esk26_1(X1),the_carrier(esk21_0))|~element(X3,powerset(X2))|~finite(X3)|~in(esk25_1(X1),powerset(X3))|~in(esk26_1(X1),X2)),inference(cn,[status(thm)],[576,theory(equality)])).
% cnf(578,negated_conjecture,(in(esk25_1(X1),esk8_3(esk21_0,X2,X3))|in(esk24_1(X1),X1)|esk3_3(esk21_0,X2,X3)!=esk2_3(esk21_0,X2,X3)|~element(X2,powerset(the_carrier(esk21_0)))|~element(esk26_1(X1),the_carrier(esk21_0))|~element(X3,powerset(X2))|~finite(X3)|~in(esk25_1(X1),powerset(X3))|~in(esk26_1(X1),X2)),inference(sr,[status(thm)],[577,193,theory(equality)])).
% cnf(700,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk2_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(spm,[status(thm)],[201,194,theory(equality)])).
% cnf(710,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk2_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|$false|~transitive_relstr(esk21_0)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(rw,[status(thm)],[700,191,theory(equality)])).
% cnf(711,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk2_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|$false|$false|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(rw,[status(thm)],[710,192,theory(equality)])).
% cnf(712,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk2_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(cn,[status(thm)],[711,theory(equality)])).
% cnf(713,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk2_3(esk21_0,X1,X2)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(sr,[status(thm)],[712,193,theory(equality)])).
% cnf(714,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk3_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(spm,[status(thm)],[203,194,theory(equality)])).
% cnf(724,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk3_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|$false|~transitive_relstr(esk21_0)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(rw,[status(thm)],[714,191,theory(equality)])).
% cnf(725,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk3_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|$false|$false|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(rw,[status(thm)],[724,192,theory(equality)])).
% cnf(726,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk3_3(esk21_0,X1,X2)|empty_carrier(esk21_0)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(cn,[status(thm)],[725,theory(equality)])).
% cnf(727,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk3_3(esk21_0,X1,X2)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~element(X1,powerset(the_carrier(esk21_0)))|~element(esk26_1(X3),the_carrier(esk21_0))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(sr,[status(thm)],[726,193,theory(equality)])).
% cnf(13489,negated_conjecture,(in(esk25_1(X1),esk8_3(esk21_0,X2,X3))|in(esk24_1(X1),X1)|esk3_3(esk21_0,X2,X3)!=esk2_3(esk21_0,X2,X3)|~element(X2,powerset(the_carrier(esk21_0)))|~element(X3,powerset(X2))|~finite(X3)|~in(esk25_1(X1),powerset(X3))|~in(esk26_1(X1),X2)),inference(csr,[status(thm)],[578,196])).
% cnf(13490,negated_conjecture,(in(esk25_1(X1),esk8_3(esk21_0,esk22_0,X2))|in(esk24_1(X1),X1)|esk3_3(esk21_0,esk22_0,X2)!=esk2_3(esk21_0,esk22_0,X2)|~element(X2,powerset(esk22_0))|~finite(X2)|~in(esk25_1(X1),powerset(X2))|~in(esk26_1(X1),esk22_0)),inference(spm,[status(thm)],[13489,190,theory(equality)])).
% cnf(13497,negated_conjecture,(in(esk25_1(X1),esk8_3(esk21_0,esk22_0,X2))|in(esk24_1(X1),X1)|esk3_3(esk21_0,esk22_0,X2)!=esk2_3(esk21_0,esk22_0,X2)|~element(X2,powerset(esk22_0))|~finite(X2)|~in(esk25_1(X1),powerset(X2))),inference(csr,[status(thm)],[13490,195])).
% cnf(13498,negated_conjecture,(in(esk24_1(X1),esk8_3(esk21_0,esk22_0,X2))|in(esk24_1(X1),X1)|esk3_3(esk21_0,esk22_0,X2)!=esk2_3(esk21_0,esk22_0,X2)|~element(X2,powerset(esk22_0))|~finite(X2)|~in(esk24_1(X1),powerset(X2))),inference(spm,[status(thm)],[13497,197,theory(equality)])).
% cnf(13567,negated_conjecture,(in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[13498,198,theory(equality)])).
% cnf(13614,negated_conjecture,(in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|~finite(esk23_0)),inference(rw,[status(thm)],[13567,188,theory(equality)])).
% cnf(13615,negated_conjecture,(in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false),inference(rw,[status(thm)],[13614,189,theory(equality)])).
% cnf(13616,negated_conjecture,(in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(cn,[status(thm)],[13615,theory(equality)])).
% cnf(16898,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk2_3(esk21_0,X1,X2)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~element(X1,powerset(the_carrier(esk21_0)))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(csr,[status(thm)],[713,196])).
% cnf(16899,negated_conjecture,(esk1_3(esk21_0,esk22_0,X1)=esk2_3(esk21_0,esk22_0,X1)|in(esk25_1(X2),esk8_3(esk21_0,esk22_0,X1))|in(esk24_1(X2),X2)|~element(X1,powerset(esk22_0))|~finite(X1)|~in(esk25_1(X2),powerset(X1))|~in(esk26_1(X2),esk22_0)),inference(spm,[status(thm)],[16898,190,theory(equality)])).
% cnf(16906,negated_conjecture,(esk1_3(esk21_0,esk22_0,X1)=esk2_3(esk21_0,esk22_0,X1)|in(esk25_1(X2),esk8_3(esk21_0,esk22_0,X1))|in(esk24_1(X2),X2)|~element(X1,powerset(esk22_0))|~finite(X1)|~in(esk25_1(X2),powerset(X1))),inference(csr,[status(thm)],[16899,195])).
% cnf(16907,negated_conjecture,(esk1_3(esk21_0,esk22_0,X1)=esk2_3(esk21_0,esk22_0,X1)|in(esk24_1(X2),esk8_3(esk21_0,esk22_0,X1))|in(esk24_1(X2),X2)|~element(X1,powerset(esk22_0))|~finite(X1)|~in(esk24_1(X2),powerset(X1))),inference(spm,[status(thm)],[16906,197,theory(equality)])).
% cnf(16967,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[16907,198,theory(equality)])).
% cnf(17014,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|$false|~finite(esk23_0)),inference(rw,[status(thm)],[16967,188,theory(equality)])).
% cnf(17015,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|$false|$false),inference(rw,[status(thm)],[17014,189,theory(equality)])).
% cnf(17016,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)),inference(cn,[status(thm)],[17015,theory(equality)])).
% cnf(17027,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(ef,[status(thm)],[17016,theory(equality)])).
% cnf(17103,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[90,17016,theory(equality)])).
% cnf(17163,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17103,191,theory(equality)])).
% cnf(17164,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17163,192,theory(equality)])).
% cnf(17165,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17164,190,theory(equality)])).
% cnf(17166,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|$false|$false|~finite(esk23_0)),inference(rw,[status(thm)],[17165,188,theory(equality)])).
% cnf(17167,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[17166,189,theory(equality)])).
% cnf(17168,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|empty_carrier(esk21_0)|in(esk24_1(X1),X1)),inference(cn,[status(thm)],[17167,theory(equality)])).
% cnf(17169,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(X1))=esk24_1(X1)|in(esk24_1(X1),X1)),inference(sr,[status(thm)],[17168,193,theory(equality)])).
% cnf(17607,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[57,17169,theory(equality)])).
% cnf(17616,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17607,191,theory(equality)])).
% cnf(17617,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17616,192,theory(equality)])).
% cnf(17618,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17617,190,theory(equality)])).
% cnf(17619,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17618,188,theory(equality)])).
% cnf(17620,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|$false|$false|$false|$false|$false|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17619,189,theory(equality)])).
% cnf(17621,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|empty_carrier(esk21_0)|in(esk24_1(X1),X1)|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(cn,[status(thm)],[17620,theory(equality)])).
% cnf(17622,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|in(esk24_1(X1),X1)|~in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[17621,193,theory(equality)])).
% cnf(17680,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[101,17027,theory(equality)])).
% cnf(17684,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[90,17027,theory(equality)])).
% cnf(17718,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17680,191,theory(equality)])).
% cnf(17719,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17718,192,theory(equality)])).
% cnf(17720,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17719,190,theory(equality)])).
% cnf(17721,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)),inference(rw,[status(thm)],[17720,188,theory(equality)])).
% cnf(17722,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[17721,189,theory(equality)])).
% cnf(17723,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)),inference(cn,[status(thm)],[17722,theory(equality)])).
% cnf(17724,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[17723,193,theory(equality)])).
% cnf(17746,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17684,191,theory(equality)])).
% cnf(17747,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17746,192,theory(equality)])).
% cnf(17748,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[17747,190,theory(equality)])).
% cnf(17749,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)),inference(rw,[status(thm)],[17748,188,theory(equality)])).
% cnf(17750,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[17749,189,theory(equality)])).
% cnf(17751,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)),inference(cn,[status(thm)],[17750,theory(equality)])).
% cnf(17752,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[17751,193,theory(equality)])).
% cnf(17932,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[112,17724,theory(equality)])).
% cnf(17974,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17932,191,theory(equality)])).
% cnf(17975,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17974,192,theory(equality)])).
% cnf(17976,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17975,190,theory(equality)])).
% cnf(17977,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17976,188,theory(equality)])).
% cnf(17978,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[17977,189,theory(equality)])).
% cnf(17979,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(cn,[status(thm)],[17978,theory(equality)])).
% cnf(17980,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[17979,193,theory(equality)])).
% cnf(18120,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[57,17752,theory(equality)])).
% cnf(18129,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[18120,191,theory(equality)])).
% cnf(18130,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[18129,192,theory(equality)])).
% cnf(18131,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[18130,190,theory(equality)])).
% cnf(18132,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[18131,188,theory(equality)])).
% cnf(18133,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[18132,189,theory(equality)])).
% cnf(18134,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(cn,[status(thm)],[18133,theory(equality)])).
% cnf(18135,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[18134,193,theory(equality)])).
% cnf(19381,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))),inference(csr,[status(thm)],[17980,198])).
% cnf(19387,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))!=X1|~relstr_set_smaller(esk21_0,X1,X2)|~element(X2,the_carrier(esk21_0))|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))|~in(X2,esk22_0)),inference(spm,[status(thm)],[199,19381,theory(equality)])).
% cnf(20254,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(X1),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(X1)))|in(esk24_1(X1),X1)),inference(csr,[status(thm)],[17622,17016])).
% cnf(25783,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))),inference(csr,[status(thm)],[18135,20254])).
% cnf(26471,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))!=X1|~relstr_set_smaller(esk21_0,X1,X2)|~element(X2,the_carrier(esk21_0))|~in(X2,esk22_0)),inference(csr,[status(thm)],[19387,17027])).
% cnf(26472,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),X1)|~element(X1,the_carrier(esk21_0))|~in(X1,esk22_0)),inference(er,[status(thm)],[26471,theory(equality)])).
% cnf(26533,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~element(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),the_carrier(esk21_0))|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)),inference(spm,[status(thm)],[26472,25783,theory(equality)])).
% cnf(26534,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[26533,79,theory(equality)])).
% cnf(26549,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26534,191,theory(equality)])).
% cnf(26550,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26549,192,theory(equality)])).
% cnf(26551,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26550,190,theory(equality)])).
% cnf(26552,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26551,188,theory(equality)])).
% cnf(26553,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26552,189,theory(equality)])).
% cnf(26554,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(cn,[status(thm)],[26553,theory(equality)])).
% cnf(26555,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[26554,193,theory(equality)])).
% cnf(26590,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)),inference(csr,[status(thm)],[26555,17027])).
% cnf(26591,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[26590,68,theory(equality)])).
% cnf(26626,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26591,191,theory(equality)])).
% cnf(26627,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26626,192,theory(equality)])).
% cnf(26628,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26627,190,theory(equality)])).
% cnf(26629,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26628,188,theory(equality)])).
% cnf(26630,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[26629,189,theory(equality)])).
% cnf(26631,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(cn,[status(thm)],[26630,theory(equality)])).
% cnf(26632,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[26631,193,theory(equality)])).
% cnf(26875,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)),inference(csr,[status(thm)],[26632,17027])).
% cnf(29013,negated_conjecture,(esk1_3(esk21_0,X1,X2)=esk3_3(esk21_0,X1,X2)|in(esk25_1(X3),esk8_3(esk21_0,X1,X2))|in(esk24_1(X3),X3)|~element(X1,powerset(the_carrier(esk21_0)))|~element(X2,powerset(X1))|~finite(X2)|~in(esk25_1(X3),powerset(X2))|~in(esk26_1(X3),X1)),inference(csr,[status(thm)],[727,196])).
% cnf(29014,negated_conjecture,(esk1_3(esk21_0,esk22_0,X1)=esk3_3(esk21_0,esk22_0,X1)|in(esk25_1(X2),esk8_3(esk21_0,esk22_0,X1))|in(esk24_1(X2),X2)|~element(X1,powerset(esk22_0))|~finite(X1)|~in(esk25_1(X2),powerset(X1))|~in(esk26_1(X2),esk22_0)),inference(spm,[status(thm)],[29013,190,theory(equality)])).
% cnf(29021,negated_conjecture,(esk1_3(esk21_0,esk22_0,X1)=esk3_3(esk21_0,esk22_0,X1)|in(esk25_1(X2),esk8_3(esk21_0,esk22_0,X1))|in(esk24_1(X2),X2)|~element(X1,powerset(esk22_0))|~finite(X1)|~in(esk25_1(X2),powerset(X1))),inference(csr,[status(thm)],[29014,195])).
% cnf(29022,negated_conjecture,(esk1_3(esk21_0,esk22_0,X1)=esk3_3(esk21_0,esk22_0,X1)|in(esk24_1(X2),esk8_3(esk21_0,esk22_0,X1))|in(esk24_1(X2),X2)|~element(X1,powerset(esk22_0))|~finite(X1)|~in(esk24_1(X2),powerset(X1))),inference(spm,[status(thm)],[29021,197,theory(equality)])).
% cnf(29082,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[29022,198,theory(equality)])).
% cnf(29132,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29082,26875,theory(equality)])).
% cnf(29133,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|$false|~finite(esk23_0)),inference(rw,[status(thm)],[29132,188,theory(equality)])).
% cnf(29134,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)|$false|$false),inference(rw,[status(thm)],[29133,189,theory(equality)])).
% cnf(29135,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)),inference(cn,[status(thm)],[29134,theory(equality)])).
% cnf(29136,negated_conjecture,(in(esk24_1(X1),esk8_3(esk21_0,esk22_0,esk23_0))|in(esk24_1(X1),X1)),inference(csr,[status(thm)],[29135,13616])).
% cnf(29137,negated_conjecture,(in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(ef,[status(thm)],[29136,theory(equality)])).
% cnf(29472,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[96,29137,theory(equality)])).
% cnf(29476,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[85,29137,theory(equality)])).
% cnf(29487,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[91,29137,theory(equality)])).
% cnf(29488,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(spm,[status(thm)],[80,29137,theory(equality)])).
% cnf(29518,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29472,26875,theory(equality)])).
% cnf(29519,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29518,191,theory(equality)])).
% cnf(29520,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29519,192,theory(equality)])).
% cnf(29521,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29520,190,theory(equality)])).
% cnf(29522,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)),inference(rw,[status(thm)],[29521,188,theory(equality)])).
% cnf(29523,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[29522,189,theory(equality)])).
% cnf(29524,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)),inference(cn,[status(thm)],[29523,theory(equality)])).
% cnf(29525,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[29524,193,theory(equality)])).
% cnf(29547,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29476,26875,theory(equality)])).
% cnf(29548,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29547,191,theory(equality)])).
% cnf(29549,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29548,192,theory(equality)])).
% cnf(29550,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29549,190,theory(equality)])).
% cnf(29551,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)),inference(rw,[status(thm)],[29550,188,theory(equality)])).
% cnf(29552,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[29551,189,theory(equality)])).
% cnf(29553,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)),inference(cn,[status(thm)],[29552,theory(equality)])).
% cnf(29554,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),inference(sr,[status(thm)],[29553,193,theory(equality)])).
% cnf(29625,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29487,191,theory(equality)])).
% cnf(29626,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29625,192,theory(equality)])).
% cnf(29627,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29626,190,theory(equality)])).
% cnf(29628,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|~finite(esk23_0)),inference(rw,[status(thm)],[29627,188,theory(equality)])).
% cnf(29629,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[29628,189,theory(equality)])).
% cnf(29630,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(cn,[status(thm)],[29629,theory(equality)])).
% cnf(29631,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(sr,[status(thm)],[29630,193,theory(equality)])).
% cnf(29632,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29488,191,theory(equality)])).
% cnf(29633,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29632,192,theory(equality)])).
% cnf(29634,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)),inference(rw,[status(thm)],[29633,190,theory(equality)])).
% cnf(29635,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|~finite(esk23_0)),inference(rw,[status(thm)],[29634,188,theory(equality)])).
% cnf(29636,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[29635,189,theory(equality)])).
% cnf(29637,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(cn,[status(thm)],[29636,theory(equality)])).
% cnf(29638,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(sr,[status(thm)],[29637,193,theory(equality)])).
% cnf(31157,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[107,29525,theory(equality)])).
% cnf(31206,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[31157,26875,theory(equality)])).
% cnf(31207,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[31206,191,theory(equality)])).
% cnf(31208,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[31207,192,theory(equality)])).
% cnf(31209,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[31208,190,theory(equality)])).
% cnf(31210,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[31209,188,theory(equality)])).
% cnf(31211,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[31210,189,theory(equality)])).
% cnf(31212,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[31211,29137,theory(equality)])).
% cnf(31213,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))),inference(cn,[status(thm)],[31212,theory(equality)])).
% cnf(31214,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))),inference(sr,[status(thm)],[31213,193,theory(equality)])).
% cnf(38779,negated_conjecture,(esk9_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),inference(csr,[status(thm)],[29631,29525])).
% cnf(38784,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[102,38779,theory(equality)])).
% cnf(38855,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[38784,191,theory(equality)])).
% cnf(38856,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[38855,192,theory(equality)])).
% cnf(38857,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[38856,190,theory(equality)])).
% cnf(38858,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[38857,188,theory(equality)])).
% cnf(38859,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[38858,189,theory(equality)])).
% cnf(38860,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[38859,29137,theory(equality)])).
% cnf(38861,negated_conjecture,(empty_carrier(esk21_0)|in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(cn,[status(thm)],[38860,theory(equality)])).
% cnf(38862,negated_conjecture,(in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(sr,[status(thm)],[38861,193,theory(equality)])).
% cnf(39122,negated_conjecture,(in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),powerset(esk23_0))),inference(csr,[status(thm)],[38862,31214])).
% cnf(39129,negated_conjecture,(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))!=X1|~relstr_set_smaller(esk21_0,X1,X2)|~element(X2,the_carrier(esk21_0))|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))|~in(X2,esk22_0)),inference(spm,[status(thm)],[199,39122,theory(equality)])).
% cnf(39156,negated_conjecture,(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))!=X1|~relstr_set_smaller(esk21_0,X1,X2)|~element(X2,the_carrier(esk21_0))|$false|~in(X2,esk22_0)),inference(rw,[status(thm)],[39129,29137,theory(equality)])).
% cnf(39157,negated_conjecture,(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))!=X1|~relstr_set_smaller(esk21_0,X1,X2)|~element(X2,the_carrier(esk21_0))|~in(X2,esk22_0)),inference(cn,[status(thm)],[39156,theory(equality)])).
% cnf(39160,negated_conjecture,(~relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),X1)|~element(X1,the_carrier(esk21_0))|~in(X1,esk22_0)),inference(er,[status(thm)],[39157,theory(equality)])).
% cnf(39179,negated_conjecture,(esk10_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)))=esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),inference(csr,[status(thm)],[29638,29554])).
% cnf(39181,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[52,39179,theory(equality)])).
% cnf(39188,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[47,39179,theory(equality)])).
% cnf(39199,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39181,26875,theory(equality)])).
% cnf(39200,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39199,191,theory(equality)])).
% cnf(39201,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39200,192,theory(equality)])).
% cnf(39202,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39201,190,theory(equality)])).
% cnf(39203,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39202,188,theory(equality)])).
% cnf(39204,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39203,189,theory(equality)])).
% cnf(39205,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[39204,29137,theory(equality)])).
% cnf(39206,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)),inference(cn,[status(thm)],[39205,theory(equality)])).
% cnf(39207,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))),inference(sr,[status(thm)],[39206,193,theory(equality)])).
% cnf(39256,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39188,191,theory(equality)])).
% cnf(39257,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39256,192,theory(equality)])).
% cnf(39258,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39257,190,theory(equality)])).
% cnf(39259,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39258,188,theory(equality)])).
% cnf(39260,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[39259,189,theory(equality)])).
% cnf(39261,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[39260,29137,theory(equality)])).
% cnf(39262,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(cn,[status(thm)],[39261,theory(equality)])).
% cnf(39263,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(sr,[status(thm)],[39262,193,theory(equality)])).
% cnf(40376,negated_conjecture,(relstr_set_smaller(esk21_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))))),inference(csr,[status(thm)],[39263,39207])).
% cnf(40388,negated_conjecture,(~element(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),the_carrier(esk21_0))|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)),inference(spm,[status(thm)],[39160,40376,theory(equality)])).
% cnf(40434,negated_conjecture,(esk1_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[40388,74,theory(equality)])).
% cnf(40437,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[40388,69,theory(equality)])).
% cnf(40452,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40434,26875,theory(equality)])).
% cnf(40453,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40452,191,theory(equality)])).
% cnf(40454,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40453,192,theory(equality)])).
% cnf(40455,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40454,190,theory(equality)])).
% cnf(40456,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40455,188,theory(equality)])).
% cnf(40457,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40456,189,theory(equality)])).
% cnf(40458,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[40457,29137,theory(equality)])).
% cnf(40459,negated_conjecture,(esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)),inference(cn,[status(thm)],[40458,theory(equality)])).
% cnf(40460,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)),inference(sr,[status(thm)],[40459,193,theory(equality)])).
% cnf(40477,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40437,191,theory(equality)])).
% cnf(40478,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40477,192,theory(equality)])).
% cnf(40479,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40478,190,theory(equality)])).
% cnf(40480,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40479,188,theory(equality)])).
% cnf(40481,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40480,189,theory(equality)])).
% cnf(40482,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[40481,29137,theory(equality)])).
% cnf(40483,negated_conjecture,(empty_carrier(esk21_0)|~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(cn,[status(thm)],[40482,theory(equality)])).
% cnf(40484,negated_conjecture,(~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)),inference(sr,[status(thm)],[40483,193,theory(equality)])).
% cnf(40516,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk1_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[40460,63,theory(equality)])).
% cnf(40556,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40516,26875,theory(equality)])).
% cnf(40557,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40556,191,theory(equality)])).
% cnf(40558,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40557,192,theory(equality)])).
% cnf(40559,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40558,190,theory(equality)])).
% cnf(40560,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40559,188,theory(equality)])).
% cnf(40561,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[40560,189,theory(equality)])).
% cnf(40562,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|esk2_3(esk21_0,esk22_0,esk23_0)=esk3_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[40561,29137,theory(equality)])).
% cnf(40563,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)|empty_carrier(esk21_0)),inference(cn,[status(thm)],[40562,theory(equality)])).
% cnf(40564,negated_conjecture,(esk3_3(esk21_0,esk22_0,esk23_0)=esk2_3(esk21_0,esk22_0,esk23_0)),inference(sr,[status(thm)],[40563,193,theory(equality)])).
% cnf(41316,negated_conjecture,(~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)|$false),inference(rw,[status(thm)],[40484,40564,theory(equality)])).
% cnf(41317,negated_conjecture,(~in(esk11_4(esk21_0,esk22_0,esk23_0,esk24_1(esk8_3(esk21_0,esk22_0,esk23_0))),esk22_0)),inference(cn,[status(thm)],[41316,theory(equality)])).
% cnf(41322,negated_conjecture,(empty_carrier(esk21_0)|esk3_3(esk21_0,esk22_0,esk23_0)!=esk2_3(esk21_0,esk22_0,esk23_0)|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(spm,[status(thm)],[41317,58,theory(equality)])).
% cnf(41381,negated_conjecture,(empty_carrier(esk21_0)|$false|~rel_str(esk21_0)|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[41322,40564,theory(equality)])).
% cnf(41382,negated_conjecture,(empty_carrier(esk21_0)|$false|$false|~transitive_relstr(esk21_0)|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[41381,191,theory(equality)])).
% cnf(41383,negated_conjecture,(empty_carrier(esk21_0)|$false|$false|$false|~element(esk22_0,powerset(the_carrier(esk21_0)))|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[41382,192,theory(equality)])).
% cnf(41384,negated_conjecture,(empty_carrier(esk21_0)|$false|$false|$false|$false|~element(esk23_0,powerset(esk22_0))|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[41383,190,theory(equality)])).
% cnf(41385,negated_conjecture,(empty_carrier(esk21_0)|$false|$false|$false|$false|$false|~finite(esk23_0)|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[41384,188,theory(equality)])).
% cnf(41386,negated_conjecture,(empty_carrier(esk21_0)|$false|$false|$false|$false|$false|$false|~in(esk24_1(esk8_3(esk21_0,esk22_0,esk23_0)),esk8_3(esk21_0,esk22_0,esk23_0))),inference(rw,[status(thm)],[41385,189,theory(equality)])).
% cnf(41387,negated_conjecture,(empty_carrier(esk21_0)|$false|$false|$false|$false|$false|$false|$false),inference(rw,[status(thm)],[41386,29137,theory(equality)])).
% cnf(41388,negated_conjecture,(empty_carrier(esk21_0)),inference(cn,[status(thm)],[41387,theory(equality)])).
% cnf(41389,negated_conjecture,($false),inference(sr,[status(thm)],[41388,193,theory(equality)])).
% cnf(41390,negated_conjecture,($false),41389,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1945
% # ...of these trivial : 23
% # ...subsumed : 848
% # ...remaining for further processing: 1074
% # Other redundant clauses eliminated : 22
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 154
% # Backward-rewritten : 157
% # Generated clauses : 11625
% # ...of the previous two non-trivial : 10827
% # Contextual simplify-reflections : 1673
% # Paramodulations : 11584
% # Factorizations : 10
% # Equation resolutions : 42
% # Current number of processed clauses: 639
% # Positive orientable unit clauses: 26
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 12
% # Non-unit-clauses : 601
% # Current number of unprocessed clauses: 4080
% # ...number of literals in the above : 47646
% # Clause-clause subsumption calls (NU) : 20100
% # Rec. Clause-clause subsumption calls : 8101
% # Unit Clause-clause subsumption calls : 660
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 42
% # Indexed BW rewrite successes : 13
% # Backwards rewriting index: 292 leaves, 1.52+/-1.183 terms/leaf
% # Paramod-from index: 64 leaves, 1.08+/-0.268 terms/leaf
% # Paramod-into index: 172 leaves, 1.23+/-0.708 terms/leaf
% # -------------------------------------------------
% # User time : 1.253 s
% # System time : 0.027 s
% # Total time : 1.280 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.11 CPU 2.22 WC
% FINAL PrfWatch: 2.11 CPU 2.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP10847/SEU364+1.tptp
%
%------------------------------------------------------------------------------