%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU283+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 02:59:11 EST 2010
% Result : Theorem 6.42s
% Output : Solution 6.42s
% 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/SystemOnTPTP20401/SEU283+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP20401/SEU283+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20401/SEU283+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 20497
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.68 CPU 4.07 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.28 CPU 6.07 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,![X1]:(![X2]:![X3]:![X4]:((((in(X2,X1)&X3=singleton(X2))&in(X2,X1))&X4=singleton(X2))=>X3=X4)=>?[X2]:((relation(X2)&function(X2))&![X3]:![X4]:(in(ordered_pair(X3,X4),X2)<=>((in(X3,X1)&in(X3,X1))&X4=singleton(X3))))),file('/tmp/SRASS.s.p', s1_funct_1__e16_22__wellord2__1)).
% fof(5, axiom,![X1]:(relation(X1)=>![X2]:(X2=relation_dom(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:in(ordered_pair(X3,X4),X1)))),file('/tmp/SRASS.s.p', d4_relat_1)).
% fof(8, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:((in(X2,relation_dom(X1))=>(X3=apply(X1,X2)<=>in(ordered_pair(X2,X3),X1)))&(~(in(X2,relation_dom(X1)))=>(X3=apply(X1,X2)<=>X3=empty_set)))),file('/tmp/SRASS.s.p', d4_funct_1)).
% fof(19, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(24, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(37, conjecture,![X1]:((![X2]:![X3]:![X4]:(((in(X2,X1)&X3=singleton(X2))&X4=singleton(X2))=>X3=X4)&![X2]:~((in(X2,X1)&![X3]:~(X3=singleton(X2)))))=>?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3)))),file('/tmp/SRASS.s.p', s2_funct_1__e16_22__wellord2__1)).
% fof(38, negated_conjecture,~(![X1]:((![X2]:![X3]:![X4]:(((in(X2,X1)&X3=singleton(X2))&X4=singleton(X2))=>X3=X4)&![X2]:~((in(X2,X1)&![X3]:~(X3=singleton(X2)))))=>?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3))))),inference(assume_negation,[status(cth)],[37])).
% fof(40, plain,![X1]:(![X2]:![X3]:![X4]:((((in(X2,X1)&X3=singleton(X2))&in(X2,X1))&X4=singleton(X2))=>X3=X4)=>?[X2]:((relation(X2)&function(X2))&![X3]:![X4]:(in(ordered_pair(X3,X4),X2)<=>(in(X3,X1)&X4=singleton(X3))))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(42, plain,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:((in(X2,relation_dom(X1))=>(X3=apply(X1,X2)<=>in(ordered_pair(X2,X3),X1)))&(~(in(X2,relation_dom(X1)))=>(X3=apply(X1,X2)<=>X3=empty_set)))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(61, plain,![X1]:(?[X2]:?[X3]:?[X4]:((((in(X2,X1)&X3=singleton(X2))&in(X2,X1))&X4=singleton(X2))&~(X3=X4))|?[X2]:((relation(X2)&function(X2))&![X3]:![X4]:((~(in(ordered_pair(X3,X4),X2))|(in(X3,X1)&X4=singleton(X3)))&((~(in(X3,X1))|~(X4=singleton(X3)))|in(ordered_pair(X3,X4),X2))))),inference(fof_nnf,[status(thm)],[40])).
% fof(62, plain,![X5]:(?[X6]:?[X7]:?[X8]:((((in(X6,X5)&X7=singleton(X6))&in(X6,X5))&X8=singleton(X6))&~(X7=X8))|?[X9]:((relation(X9)&function(X9))&![X10]:![X11]:((~(in(ordered_pair(X10,X11),X9))|(in(X10,X5)&X11=singleton(X10)))&((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),X9))))),inference(variable_rename,[status(thm)],[61])).
% fof(63, plain,![X5]:(((((in(esk3_1(X5),X5)&esk4_1(X5)=singleton(esk3_1(X5)))&in(esk3_1(X5),X5))&esk5_1(X5)=singleton(esk3_1(X5)))&~(esk4_1(X5)=esk5_1(X5)))|((relation(esk6_1(X5))&function(esk6_1(X5)))&![X10]:![X11]:((~(in(ordered_pair(X10,X11),esk6_1(X5)))|(in(X10,X5)&X11=singleton(X10)))&((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),esk6_1(X5)))))),inference(skolemize,[status(esa)],[62])).
% fof(64, plain,![X5]:![X10]:![X11]:((((~(in(ordered_pair(X10,X11),esk6_1(X5)))|(in(X10,X5)&X11=singleton(X10)))&((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),esk6_1(X5))))&(relation(esk6_1(X5))&function(esk6_1(X5))))|((((in(esk3_1(X5),X5)&esk4_1(X5)=singleton(esk3_1(X5)))&in(esk3_1(X5),X5))&esk5_1(X5)=singleton(esk3_1(X5)))&~(esk4_1(X5)=esk5_1(X5)))),inference(shift_quantors,[status(thm)],[63])).
% fof(65, plain,![X5]:![X10]:![X11]:((((((((in(esk3_1(X5),X5)|(in(X10,X5)|~(in(ordered_pair(X10,X11),esk6_1(X5)))))&(esk4_1(X5)=singleton(esk3_1(X5))|(in(X10,X5)|~(in(ordered_pair(X10,X11),esk6_1(X5))))))&(in(esk3_1(X5),X5)|(in(X10,X5)|~(in(ordered_pair(X10,X11),esk6_1(X5))))))&(esk5_1(X5)=singleton(esk3_1(X5))|(in(X10,X5)|~(in(ordered_pair(X10,X11),esk6_1(X5))))))&(~(esk4_1(X5)=esk5_1(X5))|(in(X10,X5)|~(in(ordered_pair(X10,X11),esk6_1(X5))))))&(((((in(esk3_1(X5),X5)|(X11=singleton(X10)|~(in(ordered_pair(X10,X11),esk6_1(X5)))))&(esk4_1(X5)=singleton(esk3_1(X5))|(X11=singleton(X10)|~(in(ordered_pair(X10,X11),esk6_1(X5))))))&(in(esk3_1(X5),X5)|(X11=singleton(X10)|~(in(ordered_pair(X10,X11),esk6_1(X5))))))&(esk5_1(X5)=singleton(esk3_1(X5))|(X11=singleton(X10)|~(in(ordered_pair(X10,X11),esk6_1(X5))))))&(~(esk4_1(X5)=esk5_1(X5))|(X11=singleton(X10)|~(in(ordered_pair(X10,X11),esk6_1(X5)))))))&(((((in(esk3_1(X5),X5)|((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),esk6_1(X5))))&(esk4_1(X5)=singleton(esk3_1(X5))|((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),esk6_1(X5)))))&(in(esk3_1(X5),X5)|((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),esk6_1(X5)))))&(esk5_1(X5)=singleton(esk3_1(X5))|((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),esk6_1(X5)))))&(~(esk4_1(X5)=esk5_1(X5))|((~(in(X10,X5))|~(X11=singleton(X10)))|in(ordered_pair(X10,X11),esk6_1(X5))))))&((((((in(esk3_1(X5),X5)|relation(esk6_1(X5)))&(esk4_1(X5)=singleton(esk3_1(X5))|relation(esk6_1(X5))))&(in(esk3_1(X5),X5)|relation(esk6_1(X5))))&(esk5_1(X5)=singleton(esk3_1(X5))|relation(esk6_1(X5))))&(~(esk4_1(X5)=esk5_1(X5))|relation(esk6_1(X5))))&(((((in(esk3_1(X5),X5)|function(esk6_1(X5)))&(esk4_1(X5)=singleton(esk3_1(X5))|function(esk6_1(X5))))&(in(esk3_1(X5),X5)|function(esk6_1(X5))))&(esk5_1(X5)=singleton(esk3_1(X5))|function(esk6_1(X5))))&(~(esk4_1(X5)=esk5_1(X5))|function(esk6_1(X5)))))),inference(distribute,[status(thm)],[64])).
% cnf(66,plain,(function(esk6_1(X1))|esk4_1(X1)!=esk5_1(X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(67,plain,(function(esk6_1(X1))|esk5_1(X1)=singleton(esk3_1(X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(69,plain,(function(esk6_1(X1))|esk4_1(X1)=singleton(esk3_1(X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(71,plain,(relation(esk6_1(X1))|esk4_1(X1)!=esk5_1(X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(72,plain,(relation(esk6_1(X1))|esk5_1(X1)=singleton(esk3_1(X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(74,plain,(relation(esk6_1(X1))|esk4_1(X1)=singleton(esk3_1(X1))),inference(split_conjunct,[status(thm)],[65])).
% cnf(76,plain,(in(ordered_pair(X1,X2),esk6_1(X3))|X2!=singleton(X1)|~in(X1,X3)|esk4_1(X3)!=esk5_1(X3)),inference(split_conjunct,[status(thm)],[65])).
% cnf(77,plain,(in(ordered_pair(X1,X2),esk6_1(X3))|esk5_1(X3)=singleton(esk3_1(X3))|X2!=singleton(X1)|~in(X1,X3)),inference(split_conjunct,[status(thm)],[65])).
% cnf(79,plain,(in(ordered_pair(X1,X2),esk6_1(X3))|esk4_1(X3)=singleton(esk3_1(X3))|X2!=singleton(X1)|~in(X1,X3)),inference(split_conjunct,[status(thm)],[65])).
% cnf(82,plain,(X2=singleton(X1)|esk5_1(X3)=singleton(esk3_1(X3))|~in(ordered_pair(X1,X2),esk6_1(X3))),inference(split_conjunct,[status(thm)],[65])).
% cnf(84,plain,(X2=singleton(X1)|esk4_1(X3)=singleton(esk3_1(X3))|~in(ordered_pair(X1,X2),esk6_1(X3))),inference(split_conjunct,[status(thm)],[65])).
% cnf(86,plain,(in(X1,X3)|~in(ordered_pair(X1,X2),esk6_1(X3))|esk4_1(X3)!=esk5_1(X3)),inference(split_conjunct,[status(thm)],[65])).
% cnf(87,plain,(in(X1,X3)|esk5_1(X3)=singleton(esk3_1(X3))|~in(ordered_pair(X1,X2),esk6_1(X3))),inference(split_conjunct,[status(thm)],[65])).
% cnf(89,plain,(in(X1,X3)|esk4_1(X3)=singleton(esk3_1(X3))|~in(ordered_pair(X1,X2),esk6_1(X3))),inference(split_conjunct,[status(thm)],[65])).
% fof(91, plain,![X1]:(~(relation(X1))|![X2]:((~(X2=relation_dom(X1))|![X3]:((~(in(X3,X2))|?[X4]:in(ordered_pair(X3,X4),X1))&(![X4]:~(in(ordered_pair(X3,X4),X1))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:~(in(ordered_pair(X3,X4),X1)))&(in(X3,X2)|?[X4]:in(ordered_pair(X3,X4),X1)))|X2=relation_dom(X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(92, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|?[X8]:in(ordered_pair(X7,X8),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:~(in(ordered_pair(X10,X11),X5)))&(in(X10,X6)|?[X12]:in(ordered_pair(X10,X12),X5)))|X6=relation_dom(X5)))),inference(variable_rename,[status(thm)],[91])).
% fof(93, plain,![X5]:(~(relation(X5))|![X6]:((~(X6=relation_dom(X5))|![X7]:((~(in(X7,X6))|in(ordered_pair(X7,esk7_3(X5,X6,X7)),X5))&(![X9]:~(in(ordered_pair(X7,X9),X5))|in(X7,X6))))&(((~(in(esk8_2(X5,X6),X6))|![X11]:~(in(ordered_pair(esk8_2(X5,X6),X11),X5)))&(in(esk8_2(X5,X6),X6)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X5)))|X6=relation_dom(X5)))),inference(skolemize,[status(esa)],[92])).
% fof(94, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk8_2(X5,X6),X11),X5))|~(in(esk8_2(X5,X6),X6)))&(in(esk8_2(X5,X6),X6)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X5)))|X6=relation_dom(X5))&(((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))&(~(in(X7,X6))|in(ordered_pair(X7,esk7_3(X5,X6,X7)),X5)))|~(X6=relation_dom(X5))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[93])).
% fof(95, plain,![X5]:![X6]:![X7]:![X9]:![X11]:(((((~(in(ordered_pair(esk8_2(X5,X6),X11),X5))|~(in(esk8_2(X5,X6),X6)))|X6=relation_dom(X5))|~(relation(X5)))&(((in(esk8_2(X5,X6),X6)|in(ordered_pair(esk8_2(X5,X6),esk9_2(X5,X6)),X5))|X6=relation_dom(X5))|~(relation(X5))))&((((~(in(ordered_pair(X7,X9),X5))|in(X7,X6))|~(X6=relation_dom(X5)))|~(relation(X5)))&(((~(in(X7,X6))|in(ordered_pair(X7,esk7_3(X5,X6,X7)),X5))|~(X6=relation_dom(X5)))|~(relation(X5))))),inference(distribute,[status(thm)],[94])).
% cnf(98,plain,(X2=relation_dom(X1)|in(ordered_pair(esk8_2(X1,X2),esk9_2(X1,X2)),X1)|in(esk8_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[95])).
% cnf(99,plain,(X2=relation_dom(X1)|~relation(X1)|~in(esk8_2(X1,X2),X2)|~in(ordered_pair(esk8_2(X1,X2),X3),X1)),inference(split_conjunct,[status(thm)],[95])).
% fof(108, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:![X3]:((~(in(X2,relation_dom(X1)))|((~(X3=apply(X1,X2))|in(ordered_pair(X2,X3),X1))&(~(in(ordered_pair(X2,X3),X1))|X3=apply(X1,X2))))&(in(X2,relation_dom(X1))|((~(X3=apply(X1,X2))|X3=empty_set)&(~(X3=empty_set)|X3=apply(X1,X2)))))),inference(fof_nnf,[status(thm)],[42])).
% fof(109, plain,![X4]:((~(relation(X4))|~(function(X4)))|![X5]:![X6]:((~(in(X5,relation_dom(X4)))|((~(X6=apply(X4,X5))|in(ordered_pair(X5,X6),X4))&(~(in(ordered_pair(X5,X6),X4))|X6=apply(X4,X5))))&(in(X5,relation_dom(X4))|((~(X6=apply(X4,X5))|X6=empty_set)&(~(X6=empty_set)|X6=apply(X4,X5)))))),inference(variable_rename,[status(thm)],[108])).
% fof(110, plain,![X4]:![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|((~(X6=apply(X4,X5))|in(ordered_pair(X5,X6),X4))&(~(in(ordered_pair(X5,X6),X4))|X6=apply(X4,X5))))&(in(X5,relation_dom(X4))|((~(X6=apply(X4,X5))|X6=empty_set)&(~(X6=empty_set)|X6=apply(X4,X5)))))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[109])).
% fof(111, plain,![X4]:![X5]:![X6]:(((((~(X6=apply(X4,X5))|in(ordered_pair(X5,X6),X4))|~(in(X5,relation_dom(X4))))|(~(relation(X4))|~(function(X4))))&(((~(in(ordered_pair(X5,X6),X4))|X6=apply(X4,X5))|~(in(X5,relation_dom(X4))))|(~(relation(X4))|~(function(X4)))))&((((~(X6=apply(X4,X5))|X6=empty_set)|in(X5,relation_dom(X4)))|(~(relation(X4))|~(function(X4))))&(((~(X6=empty_set)|X6=apply(X4,X5))|in(X5,relation_dom(X4)))|(~(relation(X4))|~(function(X4)))))),inference(distribute,[status(thm)],[110])).
% cnf(114,plain,(X3=apply(X1,X2)|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[111])).
% cnf(115,plain,(in(ordered_pair(X2,X3),X1)|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))|X3!=apply(X1,X2)),inference(split_conjunct,[status(thm)],[111])).
% fof(147, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[19])).
% cnf(148,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[147])).
% fof(161, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[24])).
% cnf(162,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[161])).
% fof(181, negated_conjecture,?[X1]:((![X2]:![X3]:![X4]:(((~(in(X2,X1))|~(X3=singleton(X2)))|~(X4=singleton(X2)))|X3=X4)&![X2]:(~(in(X2,X1))|?[X3]:X3=singleton(X2)))&![X2]:(((~(relation(X2))|~(function(X2)))|~(relation_dom(X2)=X1))|?[X3]:(in(X3,X1)&~(apply(X2,X3)=singleton(X3))))),inference(fof_nnf,[status(thm)],[38])).
% fof(182, negated_conjecture,?[X5]:((![X6]:![X7]:![X8]:(((~(in(X6,X5))|~(X7=singleton(X6)))|~(X8=singleton(X6)))|X7=X8)&![X9]:(~(in(X9,X5))|?[X10]:X10=singleton(X9)))&![X11]:(((~(relation(X11))|~(function(X11)))|~(relation_dom(X11)=X5))|?[X12]:(in(X12,X5)&~(apply(X11,X12)=singleton(X12))))),inference(variable_rename,[status(thm)],[181])).
% fof(183, negated_conjecture,((![X6]:![X7]:![X8]:(((~(in(X6,esk16_0))|~(X7=singleton(X6)))|~(X8=singleton(X6)))|X7=X8)&![X9]:(~(in(X9,esk16_0))|esk17_1(X9)=singleton(X9)))&![X11]:(((~(relation(X11))|~(function(X11)))|~(relation_dom(X11)=esk16_0))|(in(esk18_1(X11),esk16_0)&~(apply(X11,esk18_1(X11))=singleton(esk18_1(X11)))))),inference(skolemize,[status(esa)],[182])).
% fof(184, negated_conjecture,![X6]:![X7]:![X8]:![X9]:![X11]:((((~(relation(X11))|~(function(X11)))|~(relation_dom(X11)=esk16_0))|(in(esk18_1(X11),esk16_0)&~(apply(X11,esk18_1(X11))=singleton(esk18_1(X11)))))&((~(in(X9,esk16_0))|esk17_1(X9)=singleton(X9))&(((~(in(X6,esk16_0))|~(X7=singleton(X6)))|~(X8=singleton(X6)))|X7=X8))),inference(shift_quantors,[status(thm)],[183])).
% fof(185, negated_conjecture,![X6]:![X7]:![X8]:![X9]:![X11]:(((in(esk18_1(X11),esk16_0)|((~(relation(X11))|~(function(X11)))|~(relation_dom(X11)=esk16_0)))&(~(apply(X11,esk18_1(X11))=singleton(esk18_1(X11)))|((~(relation(X11))|~(function(X11)))|~(relation_dom(X11)=esk16_0))))&((~(in(X9,esk16_0))|esk17_1(X9)=singleton(X9))&(((~(in(X6,esk16_0))|~(X7=singleton(X6)))|~(X8=singleton(X6)))|X7=X8))),inference(distribute,[status(thm)],[184])).
% cnf(188,negated_conjecture,(relation_dom(X1)!=esk16_0|~function(X1)|~relation(X1)|apply(X1,esk18_1(X1))!=singleton(esk18_1(X1))),inference(split_conjunct,[status(thm)],[185])).
% cnf(189,negated_conjecture,(in(esk18_1(X1),esk16_0)|relation_dom(X1)!=esk16_0|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[185])).
% cnf(190,plain,(singleton(X1)=X2|singleton(esk3_1(X3))=esk4_1(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))),inference(rw,[status(thm)],[84,162,theory(equality)]),['unfolding']).
% cnf(191,plain,(singleton(X1)=X2|singleton(esk3_1(X3))=esk5_1(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))),inference(rw,[status(thm)],[82,162,theory(equality)]),['unfolding']).
% cnf(194,plain,(singleton(esk3_1(X3))=esk4_1(X3)|in(X1,X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))),inference(rw,[status(thm)],[89,162,theory(equality)]),['unfolding']).
% cnf(195,plain,(singleton(esk3_1(X3))=esk5_1(X3)|in(X1,X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))),inference(rw,[status(thm)],[87,162,theory(equality)]),['unfolding']).
% cnf(198,plain,(relation_dom(X1)=X2|in(esk8_2(X1,X2),X2)|in(unordered_pair(unordered_pair(esk8_2(X1,X2),esk9_2(X1,X2)),singleton(esk8_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[98,162,theory(equality)]),['unfolding']).
% cnf(200,plain,(in(X1,X3)|esk5_1(X3)!=esk4_1(X3)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))),inference(rw,[status(thm)],[86,162,theory(equality)]),['unfolding']).
% cnf(201,plain,(singleton(esk3_1(X3))=esk4_1(X3)|in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(X1)!=X2|~in(X1,X3)),inference(rw,[status(thm)],[79,162,theory(equality)]),['unfolding']).
% cnf(202,plain,(singleton(esk3_1(X3))=esk5_1(X3)|in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(X1)!=X2|~in(X1,X3)),inference(rw,[status(thm)],[77,162,theory(equality)]),['unfolding']).
% cnf(206,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(X1)!=X2|esk5_1(X3)!=esk4_1(X3)|~in(X1,X3)),inference(rw,[status(thm)],[76,162,theory(equality)]),['unfolding']).
% cnf(208,plain,(relation_dom(X1)=X2|~relation(X1)|~in(esk8_2(X1,X2),X2)|~in(unordered_pair(unordered_pair(esk8_2(X1,X2),X3),singleton(esk8_2(X1,X2))),X1)),inference(rw,[status(thm)],[99,162,theory(equality)]),['unfolding']).
% cnf(209,plain,(apply(X1,X2)=X3|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))|~in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1)),inference(rw,[status(thm)],[114,162,theory(equality)]),['unfolding']).
% cnf(210,plain,(in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),X1)|apply(X1,X2)!=X3|~relation(X1)|~function(X1)|~in(X2,relation_dom(X1))),inference(rw,[status(thm)],[115,162,theory(equality)]),['unfolding']).
% cnf(233,plain,(esk5_1(X1)=esk4_1(X1)|relation(esk6_1(X1))),inference(spm,[status(thm)],[74,72,theory(equality)])).
% cnf(248,plain,(in(X1,X2)|esk5_1(X2)!=esk4_1(X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),esk6_1(X2))),inference(spm,[status(thm)],[200,148,theory(equality)])).
% cnf(291,plain,(relation_dom(X1)=X2|in(esk8_2(X1,X2),X2)|in(unordered_pair(singleton(esk8_2(X1,X2)),unordered_pair(esk8_2(X1,X2),esk9_2(X1,X2))),X1)|~relation(X1)),inference(rw,[status(thm)],[198,148,theory(equality)])).
% cnf(302,plain,(singleton(esk3_1(X1))=esk4_1(X1)|in(X2,X1)|~in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),esk6_1(X1))),inference(spm,[status(thm)],[194,148,theory(equality)])).
% cnf(308,plain,(singleton(esk3_1(X1))=esk5_1(X1)|in(X2,X1)|~in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),esk6_1(X1))),inference(spm,[status(thm)],[195,148,theory(equality)])).
% cnf(314,plain,(singleton(esk3_1(X1))=esk4_1(X1)|singleton(X2)=X3|~in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),esk6_1(X1))),inference(spm,[status(thm)],[190,148,theory(equality)])).
% cnf(326,plain,(singleton(esk3_1(X1))=esk5_1(X1)|singleton(X2)=X3|~in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),esk6_1(X1))),inference(spm,[status(thm)],[191,148,theory(equality)])).
% cnf(336,plain,(relation_dom(X1)=X2|~relation(X1)|~in(unordered_pair(singleton(esk8_2(X1,X2)),unordered_pair(esk8_2(X1,X2),X3)),X1)|~in(esk8_2(X1,X2),X2)),inference(spm,[status(thm)],[208,148,theory(equality)])).
% cnf(348,plain,(apply(X1,X2)=X3|~function(X1)|~relation(X1)|~in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),X1)|~in(X2,relation_dom(X1))),inference(spm,[status(thm)],[209,148,theory(equality)])).
% cnf(393,plain,(relation(esk6_1(X1))),inference(csr,[status(thm)],[233,71])).
% cnf(394,plain,(relation_dom(esk6_1(X1))=X2|in(unordered_pair(singleton(esk8_2(esk6_1(X1),X2)),unordered_pair(esk8_2(esk6_1(X1),X2),esk9_2(esk6_1(X1),X2))),esk6_1(X1))|in(esk8_2(esk6_1(X1),X2),X2)),inference(spm,[status(thm)],[291,393,theory(equality)])).
% cnf(1565,plain,(in(esk8_2(esk6_1(X1),X2),X1)|relation_dom(esk6_1(X1))=X2|in(esk8_2(esk6_1(X1),X2),X2)|esk5_1(X1)!=esk4_1(X1)),inference(spm,[status(thm)],[248,394,theory(equality)])).
% cnf(1566,plain,(singleton(esk3_1(X1))=esk4_1(X1)|in(esk8_2(esk6_1(X1),X2),X1)|relation_dom(esk6_1(X1))=X2|in(esk8_2(esk6_1(X1),X2),X2)),inference(spm,[status(thm)],[302,394,theory(equality)])).
% cnf(1567,plain,(singleton(esk3_1(X1))=esk5_1(X1)|in(esk8_2(esk6_1(X1),X2),X1)|relation_dom(esk6_1(X1))=X2|in(esk8_2(esk6_1(X1),X2),X2)),inference(spm,[status(thm)],[308,394,theory(equality)])).
% cnf(3376,plain,(singleton(esk3_1(X3))=esk4_1(X3)|relation_dom(esk6_1(X3))=X3|in(esk8_2(esk6_1(X3),X3),X3)),inference(ef,[status(thm)],[1566,theory(equality)])).
% cnf(3411,plain,(singleton(esk3_1(X1))=esk4_1(X1)|in(unordered_pair(unordered_pair(esk8_2(esk6_1(X1),X1),X2),singleton(esk8_2(esk6_1(X1),X1))),esk6_1(X1))|relation_dom(esk6_1(X1))=X1|singleton(esk8_2(esk6_1(X1),X1))!=X2),inference(spm,[status(thm)],[201,3376,theory(equality)])).
% cnf(3540,plain,(singleton(esk3_1(X3))=esk5_1(X3)|relation_dom(esk6_1(X3))=X3|in(esk8_2(esk6_1(X3),X3),X3)),inference(ef,[status(thm)],[1567,theory(equality)])).
% cnf(3576,plain,(singleton(esk3_1(X1))=esk5_1(X1)|in(unordered_pair(unordered_pair(esk8_2(esk6_1(X1),X1),X2),singleton(esk8_2(esk6_1(X1),X1))),esk6_1(X1))|relation_dom(esk6_1(X1))=X1|singleton(esk8_2(esk6_1(X1),X1))!=X2),inference(spm,[status(thm)],[202,3540,theory(equality)])).
% cnf(3720,plain,(singleton(esk3_1(X1))=esk4_1(X1)|relation_dom(esk6_1(X1))=X1|in(unordered_pair(unordered_pair(esk8_2(esk6_1(X1),X1),singleton(esk8_2(esk6_1(X1),X1))),singleton(esk8_2(esk6_1(X1),X1))),esk6_1(X1))),inference(er,[status(thm)],[3411,theory(equality)])).
% cnf(3723,plain,(singleton(esk3_1(X1))=esk5_1(X1)|relation_dom(esk6_1(X1))=X1|in(unordered_pair(unordered_pair(esk8_2(esk6_1(X1),X1),singleton(esk8_2(esk6_1(X1),X1))),singleton(esk8_2(esk6_1(X1),X1))),esk6_1(X1))),inference(er,[status(thm)],[3576,theory(equality)])).
% cnf(25796,plain,(singleton(esk3_1(X1))=esk4_1(X1)|relation_dom(esk6_1(X1))=X1|in(unordered_pair(singleton(esk8_2(esk6_1(X1),X1)),unordered_pair(esk8_2(esk6_1(X1),X1),singleton(esk8_2(esk6_1(X1),X1)))),esk6_1(X1))),inference(rw,[status(thm)],[3720,148,theory(equality)])).
% cnf(25806,plain,(relation_dom(esk6_1(X1))=X1|singleton(esk3_1(X1))=esk4_1(X1)|~relation(esk6_1(X1))|~in(esk8_2(esk6_1(X1),X1),X1)),inference(spm,[status(thm)],[336,25796,theory(equality)])).
% cnf(25818,plain,(relation_dom(esk6_1(X1))=X1|singleton(esk3_1(X1))=esk4_1(X1)|$false|~in(esk8_2(esk6_1(X1),X1),X1)),inference(rw,[status(thm)],[25806,393,theory(equality)])).
% cnf(25819,plain,(relation_dom(esk6_1(X1))=X1|singleton(esk3_1(X1))=esk4_1(X1)|~in(esk8_2(esk6_1(X1),X1),X1)),inference(cn,[status(thm)],[25818,theory(equality)])).
% cnf(25837,plain,(singleton(esk3_1(X1))=esk4_1(X1)|relation_dom(esk6_1(X1))=X1),inference(csr,[status(thm)],[25819,3376])).
% cnf(25841,negated_conjecture,(in(esk18_1(esk6_1(X1)),esk16_0)|singleton(esk3_1(X1))=esk4_1(X1)|X1!=esk16_0|~function(esk6_1(X1))|~relation(esk6_1(X1))),inference(spm,[status(thm)],[189,25837,theory(equality)])).
% cnf(25890,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(esk3_1(X3))=esk4_1(X3)|apply(esk6_1(X3),X1)!=X2|~function(esk6_1(X3))|~relation(esk6_1(X3))|~in(X1,X3)),inference(spm,[status(thm)],[210,25837,theory(equality)])).
% cnf(26647,negated_conjecture,(in(esk18_1(esk6_1(X1)),esk16_0)|singleton(esk3_1(X1))=esk4_1(X1)|X1!=esk16_0|~function(esk6_1(X1))|$false),inference(rw,[status(thm)],[25841,393,theory(equality)])).
% cnf(26648,negated_conjecture,(in(esk18_1(esk6_1(X1)),esk16_0)|singleton(esk3_1(X1))=esk4_1(X1)|X1!=esk16_0|~function(esk6_1(X1))),inference(cn,[status(thm)],[26647,theory(equality)])).
% cnf(26746,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(esk3_1(X3))=esk4_1(X3)|apply(esk6_1(X3),X1)!=X2|~function(esk6_1(X3))|$false|~in(X1,X3)),inference(rw,[status(thm)],[25890,393,theory(equality)])).
% cnf(26747,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(esk3_1(X3))=esk4_1(X3)|apply(esk6_1(X3),X1)!=X2|~function(esk6_1(X3))|~in(X1,X3)),inference(cn,[status(thm)],[26746,theory(equality)])).
% cnf(27079,plain,(singleton(esk3_1(X1))=esk5_1(X1)|relation_dom(esk6_1(X1))=X1|in(unordered_pair(singleton(esk8_2(esk6_1(X1),X1)),unordered_pair(esk8_2(esk6_1(X1),X1),singleton(esk8_2(esk6_1(X1),X1)))),esk6_1(X1))),inference(rw,[status(thm)],[3723,148,theory(equality)])).
% cnf(27089,plain,(relation_dom(esk6_1(X1))=X1|singleton(esk3_1(X1))=esk5_1(X1)|~relation(esk6_1(X1))|~in(esk8_2(esk6_1(X1),X1),X1)),inference(spm,[status(thm)],[336,27079,theory(equality)])).
% cnf(27101,plain,(relation_dom(esk6_1(X1))=X1|singleton(esk3_1(X1))=esk5_1(X1)|$false|~in(esk8_2(esk6_1(X1),X1),X1)),inference(rw,[status(thm)],[27089,393,theory(equality)])).
% cnf(27102,plain,(relation_dom(esk6_1(X1))=X1|singleton(esk3_1(X1))=esk5_1(X1)|~in(esk8_2(esk6_1(X1),X1),X1)),inference(cn,[status(thm)],[27101,theory(equality)])).
% cnf(27179,plain,(singleton(esk3_1(X1))=esk5_1(X1)|relation_dom(esk6_1(X1))=X1),inference(csr,[status(thm)],[27102,3540])).
% cnf(27183,negated_conjecture,(in(esk18_1(esk6_1(X1)),esk16_0)|singleton(esk3_1(X1))=esk5_1(X1)|X1!=esk16_0|~function(esk6_1(X1))|~relation(esk6_1(X1))),inference(spm,[status(thm)],[189,27179,theory(equality)])).
% cnf(27233,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(esk3_1(X3))=esk5_1(X3)|apply(esk6_1(X3),X1)!=X2|~function(esk6_1(X3))|~relation(esk6_1(X3))|~in(X1,X3)),inference(spm,[status(thm)],[210,27179,theory(equality)])).
% cnf(27978,negated_conjecture,(in(esk18_1(esk6_1(X1)),esk16_0)|singleton(esk3_1(X1))=esk5_1(X1)|X1!=esk16_0|~function(esk6_1(X1))|$false),inference(rw,[status(thm)],[27183,393,theory(equality)])).
% cnf(27979,negated_conjecture,(in(esk18_1(esk6_1(X1)),esk16_0)|singleton(esk3_1(X1))=esk5_1(X1)|X1!=esk16_0|~function(esk6_1(X1))),inference(cn,[status(thm)],[27978,theory(equality)])).
% cnf(28079,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(esk3_1(X3))=esk5_1(X3)|apply(esk6_1(X3),X1)!=X2|~function(esk6_1(X3))|$false|~in(X1,X3)),inference(rw,[status(thm)],[27233,393,theory(equality)])).
% cnf(28080,plain,(in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|singleton(esk3_1(X3))=esk5_1(X3)|apply(esk6_1(X3),X1)!=X2|~function(esk6_1(X3))|~in(X1,X3)),inference(cn,[status(thm)],[28079,theory(equality)])).
% cnf(28497,negated_conjecture,(singleton(esk3_1(X1))=esk4_1(X1)|in(esk18_1(esk6_1(X1)),esk16_0)|X1!=esk16_0),inference(csr,[status(thm)],[26648,69])).
% cnf(28498,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)|in(esk18_1(esk6_1(esk16_0)),esk16_0)),inference(er,[status(thm)],[28497,theory(equality)])).
% cnf(28499,negated_conjecture,(singleton(esk3_1(X1))=esk5_1(X1)|in(esk18_1(esk6_1(X1)),esk16_0)|X1!=esk16_0),inference(csr,[status(thm)],[27979,67])).
% cnf(28500,negated_conjecture,(singleton(esk3_1(esk16_0))=esk5_1(esk16_0)|in(esk18_1(esk6_1(esk16_0)),esk16_0)),inference(er,[status(thm)],[28499,theory(equality)])).
% cnf(32152,plain,(singleton(esk3_1(X3))=esk4_1(X3)|in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|apply(esk6_1(X3),X1)!=X2|~in(X1,X3)),inference(csr,[status(thm)],[26747,69])).
% cnf(32153,plain,(singleton(esk3_1(X1))=esk4_1(X1)|in(unordered_pair(unordered_pair(X2,apply(esk6_1(X1),X2)),singleton(X2)),esk6_1(X1))|~in(X2,X1)),inference(er,[status(thm)],[32152,theory(equality)])).
% cnf(32270,plain,(singleton(esk3_1(X1))=esk4_1(X1)|in(unordered_pair(singleton(X2),unordered_pair(X2,apply(esk6_1(X1),X2))),esk6_1(X1))|~in(X2,X1)),inference(rw,[status(thm)],[32153,148,theory(equality)])).
% cnf(32273,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)|in(unordered_pair(singleton(esk18_1(esk6_1(esk16_0))),unordered_pair(esk18_1(esk6_1(esk16_0)),apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0))))),esk6_1(esk16_0))),inference(spm,[status(thm)],[32270,28498,theory(equality)])).
% cnf(32670,plain,(singleton(esk3_1(X3))=esk5_1(X3)|in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),esk6_1(X3))|apply(esk6_1(X3),X1)!=X2|~in(X1,X3)),inference(csr,[status(thm)],[28080,67])).
% cnf(32671,plain,(singleton(esk3_1(X1))=esk5_1(X1)|in(unordered_pair(unordered_pair(X2,apply(esk6_1(X1),X2)),singleton(X2)),esk6_1(X1))|~in(X2,X1)),inference(er,[status(thm)],[32670,theory(equality)])).
% cnf(32788,plain,(singleton(esk3_1(X1))=esk5_1(X1)|in(unordered_pair(singleton(X2),unordered_pair(X2,apply(esk6_1(X1),X2))),esk6_1(X1))|~in(X2,X1)),inference(rw,[status(thm)],[32671,148,theory(equality)])).
% cnf(35849,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)|singleton(esk18_1(esk6_1(esk16_0)))=apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))),inference(spm,[status(thm)],[314,32273,theory(equality)])).
% cnf(35883,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)|relation_dom(esk6_1(esk16_0))!=esk16_0|~function(esk6_1(esk16_0))|~relation(esk6_1(esk16_0))),inference(spm,[status(thm)],[188,35849,theory(equality)])).
% cnf(35894,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)|relation_dom(esk6_1(esk16_0))!=esk16_0|~function(esk6_1(esk16_0))|$false),inference(rw,[status(thm)],[35883,393,theory(equality)])).
% cnf(35895,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)|relation_dom(esk6_1(esk16_0))!=esk16_0|~function(esk6_1(esk16_0))),inference(cn,[status(thm)],[35894,theory(equality)])).
% cnf(35925,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)|relation_dom(esk6_1(esk16_0))!=esk16_0),inference(csr,[status(thm)],[35895,69])).
% cnf(35926,negated_conjecture,(singleton(esk3_1(esk16_0))=esk4_1(esk16_0)),inference(csr,[status(thm)],[35925,25837])).
% cnf(36004,negated_conjecture,(esk4_1(esk16_0)=esk5_1(esk16_0)|in(esk18_1(esk6_1(esk16_0)),esk16_0)),inference(rw,[status(thm)],[28500,35926,theory(equality)])).
% cnf(36116,negated_conjecture,(singleton(esk3_1(esk16_0))=esk5_1(esk16_0)|in(unordered_pair(singleton(esk18_1(esk6_1(esk16_0))),unordered_pair(esk18_1(esk6_1(esk16_0)),apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0))))),esk6_1(esk16_0))|esk5_1(esk16_0)=esk4_1(esk16_0)),inference(spm,[status(thm)],[32788,36004,theory(equality)])).
% cnf(36131,negated_conjecture,(esk4_1(esk16_0)=esk5_1(esk16_0)|in(unordered_pair(singleton(esk18_1(esk6_1(esk16_0))),unordered_pair(esk18_1(esk6_1(esk16_0)),apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0))))),esk6_1(esk16_0))|esk5_1(esk16_0)=esk4_1(esk16_0)),inference(rw,[status(thm)],[36116,35926,theory(equality)])).
% cnf(36132,negated_conjecture,(esk4_1(esk16_0)=esk5_1(esk16_0)|in(unordered_pair(singleton(esk18_1(esk6_1(esk16_0))),unordered_pair(esk18_1(esk6_1(esk16_0)),apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0))))),esk6_1(esk16_0))),inference(cn,[status(thm)],[36131,theory(equality)])).
% cnf(37107,negated_conjecture,(singleton(esk3_1(esk16_0))=esk5_1(esk16_0)|singleton(esk18_1(esk6_1(esk16_0)))=apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))|esk5_1(esk16_0)=esk4_1(esk16_0)),inference(spm,[status(thm)],[326,36132,theory(equality)])).
% cnf(37121,negated_conjecture,(esk4_1(esk16_0)=esk5_1(esk16_0)|singleton(esk18_1(esk6_1(esk16_0)))=apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))|esk5_1(esk16_0)=esk4_1(esk16_0)),inference(rw,[status(thm)],[37107,35926,theory(equality)])).
% cnf(37122,negated_conjecture,(esk4_1(esk16_0)=esk5_1(esk16_0)|singleton(esk18_1(esk6_1(esk16_0)))=apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))),inference(cn,[status(thm)],[37121,theory(equality)])).
% cnf(37140,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|relation_dom(esk6_1(esk16_0))!=esk16_0|~function(esk6_1(esk16_0))|~relation(esk6_1(esk16_0))),inference(spm,[status(thm)],[188,37122,theory(equality)])).
% cnf(37151,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|relation_dom(esk6_1(esk16_0))!=esk16_0|~function(esk6_1(esk16_0))|$false),inference(rw,[status(thm)],[37140,393,theory(equality)])).
% cnf(37152,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|relation_dom(esk6_1(esk16_0))!=esk16_0|~function(esk6_1(esk16_0))),inference(cn,[status(thm)],[37151,theory(equality)])).
% cnf(37161,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|singleton(esk3_1(esk16_0))=esk5_1(esk16_0)|~function(esk6_1(esk16_0))),inference(spm,[status(thm)],[37152,27179,theory(equality)])).
% cnf(37163,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|esk4_1(esk16_0)=esk5_1(esk16_0)|~function(esk6_1(esk16_0))),inference(rw,[status(thm)],[37161,35926,theory(equality)])).
% cnf(37164,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|~function(esk6_1(esk16_0))),inference(cn,[status(thm)],[37163,theory(equality)])).
% cnf(37166,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|singleton(esk3_1(esk16_0))=esk5_1(esk16_0)),inference(spm,[status(thm)],[37164,67,theory(equality)])).
% cnf(37169,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)|esk4_1(esk16_0)=esk5_1(esk16_0)),inference(rw,[status(thm)],[37166,35926,theory(equality)])).
% cnf(37170,negated_conjecture,(esk5_1(esk16_0)=esk4_1(esk16_0)),inference(cn,[status(thm)],[37169,theory(equality)])).
% cnf(37175,negated_conjecture,(function(esk6_1(esk16_0))),inference(spm,[status(thm)],[66,37170,theory(equality)])).
% cnf(37181,negated_conjecture,(relation_dom(esk6_1(esk16_0))=X1|in(esk8_2(esk6_1(esk16_0),X1),X1)|in(esk8_2(esk6_1(esk16_0),X1),esk16_0)),inference(spm,[status(thm)],[1565,37170,theory(equality)])).
% cnf(41345,negated_conjecture,(relation_dom(esk6_1(esk16_0))=esk16_0|in(esk8_2(esk6_1(esk16_0),esk16_0),esk16_0)),inference(ef,[status(thm)],[37181,theory(equality)])).
% cnf(41399,negated_conjecture,(in(unordered_pair(unordered_pair(esk8_2(esk6_1(esk16_0),esk16_0),X1),singleton(esk8_2(esk6_1(esk16_0),esk16_0))),esk6_1(esk16_0))|relation_dom(esk6_1(esk16_0))=esk16_0|esk5_1(esk16_0)!=esk4_1(esk16_0)|singleton(esk8_2(esk6_1(esk16_0),esk16_0))!=X1),inference(spm,[status(thm)],[206,41345,theory(equality)])).
% cnf(41413,negated_conjecture,(in(unordered_pair(unordered_pair(esk8_2(esk6_1(esk16_0),esk16_0),X1),singleton(esk8_2(esk6_1(esk16_0),esk16_0))),esk6_1(esk16_0))|relation_dom(esk6_1(esk16_0))=esk16_0|$false|singleton(esk8_2(esk6_1(esk16_0),esk16_0))!=X1),inference(rw,[status(thm)],[41399,37170,theory(equality)])).
% cnf(41414,negated_conjecture,(in(unordered_pair(unordered_pair(esk8_2(esk6_1(esk16_0),esk16_0),X1),singleton(esk8_2(esk6_1(esk16_0),esk16_0))),esk6_1(esk16_0))|relation_dom(esk6_1(esk16_0))=esk16_0|singleton(esk8_2(esk6_1(esk16_0),esk16_0))!=X1),inference(cn,[status(thm)],[41413,theory(equality)])).
% cnf(58440,negated_conjecture,(relation_dom(esk6_1(esk16_0))=esk16_0|in(unordered_pair(unordered_pair(esk8_2(esk6_1(esk16_0),esk16_0),singleton(esk8_2(esk6_1(esk16_0),esk16_0))),singleton(esk8_2(esk6_1(esk16_0),esk16_0))),esk6_1(esk16_0))),inference(er,[status(thm)],[41414,theory(equality)])).
% cnf(58459,negated_conjecture,(relation_dom(esk6_1(esk16_0))=esk16_0|in(unordered_pair(singleton(esk8_2(esk6_1(esk16_0),esk16_0)),unordered_pair(esk8_2(esk6_1(esk16_0),esk16_0),singleton(esk8_2(esk6_1(esk16_0),esk16_0)))),esk6_1(esk16_0))),inference(rw,[status(thm)],[58440,148,theory(equality)])).
% cnf(58475,negated_conjecture,(relation_dom(esk6_1(esk16_0))=esk16_0|~relation(esk6_1(esk16_0))|~in(esk8_2(esk6_1(esk16_0),esk16_0),esk16_0)),inference(spm,[status(thm)],[336,58459,theory(equality)])).
% cnf(58483,negated_conjecture,(relation_dom(esk6_1(esk16_0))=esk16_0|$false|~in(esk8_2(esk6_1(esk16_0),esk16_0),esk16_0)),inference(rw,[status(thm)],[58475,393,theory(equality)])).
% cnf(58484,negated_conjecture,(relation_dom(esk6_1(esk16_0))=esk16_0|~in(esk8_2(esk6_1(esk16_0),esk16_0),esk16_0)),inference(cn,[status(thm)],[58483,theory(equality)])).
% cnf(58498,negated_conjecture,(relation_dom(esk6_1(esk16_0))=esk16_0),inference(csr,[status(thm)],[58484,41345])).
% cnf(58501,negated_conjecture,(in(esk18_1(esk6_1(esk16_0)),esk16_0)|~function(esk6_1(esk16_0))|~relation(esk6_1(esk16_0))),inference(spm,[status(thm)],[189,58498,theory(equality)])).
% cnf(60033,negated_conjecture,(in(esk18_1(esk6_1(esk16_0)),esk16_0)|$false|~relation(esk6_1(esk16_0))),inference(rw,[status(thm)],[58501,37175,theory(equality)])).
% cnf(60034,negated_conjecture,(in(esk18_1(esk6_1(esk16_0)),esk16_0)|$false|$false),inference(rw,[status(thm)],[60033,393,theory(equality)])).
% cnf(60035,negated_conjecture,(in(esk18_1(esk6_1(esk16_0)),esk16_0)),inference(cn,[status(thm)],[60034,theory(equality)])).
% cnf(61844,negated_conjecture,(in(unordered_pair(unordered_pair(esk18_1(esk6_1(esk16_0)),X1),singleton(esk18_1(esk6_1(esk16_0)))),esk6_1(esk16_0))|esk5_1(esk16_0)!=esk4_1(esk16_0)|singleton(esk18_1(esk6_1(esk16_0)))!=X1),inference(spm,[status(thm)],[206,60035,theory(equality)])).
% cnf(61861,negated_conjecture,(in(unordered_pair(unordered_pair(esk18_1(esk6_1(esk16_0)),X1),singleton(esk18_1(esk6_1(esk16_0)))),esk6_1(esk16_0))|$false|singleton(esk18_1(esk6_1(esk16_0)))!=X1),inference(rw,[status(thm)],[61844,37170,theory(equality)])).
% cnf(61862,negated_conjecture,(in(unordered_pair(unordered_pair(esk18_1(esk6_1(esk16_0)),X1),singleton(esk18_1(esk6_1(esk16_0)))),esk6_1(esk16_0))|singleton(esk18_1(esk6_1(esk16_0)))!=X1),inference(cn,[status(thm)],[61861,theory(equality)])).
% cnf(65951,negated_conjecture,(in(unordered_pair(unordered_pair(esk18_1(esk6_1(esk16_0)),singleton(esk18_1(esk6_1(esk16_0)))),singleton(esk18_1(esk6_1(esk16_0)))),esk6_1(esk16_0))),inference(er,[status(thm)],[61862,theory(equality)])).
% cnf(66234,negated_conjecture,(in(unordered_pair(singleton(esk18_1(esk6_1(esk16_0))),unordered_pair(esk18_1(esk6_1(esk16_0)),singleton(esk18_1(esk6_1(esk16_0))))),esk6_1(esk16_0))),inference(rw,[status(thm)],[65951,148,theory(equality)])).
% cnf(66250,negated_conjecture,(apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))=singleton(esk18_1(esk6_1(esk16_0)))|~function(esk6_1(esk16_0))|~relation(esk6_1(esk16_0))|~in(esk18_1(esk6_1(esk16_0)),relation_dom(esk6_1(esk16_0)))),inference(spm,[status(thm)],[348,66234,theory(equality)])).
% cnf(66258,negated_conjecture,(apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))=singleton(esk18_1(esk6_1(esk16_0)))|$false|~relation(esk6_1(esk16_0))|~in(esk18_1(esk6_1(esk16_0)),relation_dom(esk6_1(esk16_0)))),inference(rw,[status(thm)],[66250,37175,theory(equality)])).
% cnf(66259,negated_conjecture,(apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))=singleton(esk18_1(esk6_1(esk16_0)))|$false|$false|~in(esk18_1(esk6_1(esk16_0)),relation_dom(esk6_1(esk16_0)))),inference(rw,[status(thm)],[66258,393,theory(equality)])).
% cnf(66260,negated_conjecture,(apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))=singleton(esk18_1(esk6_1(esk16_0)))|$false|$false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[66259,58498,theory(equality)]),60035,theory(equality)])).
% cnf(66261,negated_conjecture,(apply(esk6_1(esk16_0),esk18_1(esk6_1(esk16_0)))=singleton(esk18_1(esk6_1(esk16_0)))),inference(cn,[status(thm)],[66260,theory(equality)])).
% cnf(66274,negated_conjecture,(relation_dom(esk6_1(esk16_0))!=esk16_0|~function(esk6_1(esk16_0))|~relation(esk6_1(esk16_0))),inference(spm,[status(thm)],[188,66261,theory(equality)])).
% cnf(66288,negated_conjecture,($false|~function(esk6_1(esk16_0))|~relation(esk6_1(esk16_0))),inference(rw,[status(thm)],[66274,58498,theory(equality)])).
% cnf(66289,negated_conjecture,($false|$false|~relation(esk6_1(esk16_0))),inference(rw,[status(thm)],[66288,37175,theory(equality)])).
% cnf(66290,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[66289,393,theory(equality)])).
% cnf(66291,negated_conjecture,($false),inference(cn,[status(thm)],[66290,theory(equality)])).
% cnf(66292,negated_conjecture,($false),66291,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 11179
% # ...of these trivial : 52
% # ...subsumed : 7210
% # ...remaining for further processing: 3917
% # Other redundant clauses eliminated : 441
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 236
% # Backward-rewritten : 434
% # Generated clauses : 33970
% # ...of the previous two non-trivial : 28676
% # Contextual simplify-reflections : 9190
% # Paramodulations : 32339
% # Factorizations : 124
% # Equation resolutions : 1500
% # Current number of processed clauses: 3240
% # Positive orientable unit clauses: 37
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 13
% # Non-unit-clauses : 3189
% # Current number of unprocessed clauses: 15152
% # ...number of literals in the above : 85754
% # Clause-clause subsumption calls (NU) : 170932
% # Rec. Clause-clause subsumption calls : 59063
% # Unit Clause-clause subsumption calls : 650
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 73
% # Indexed BW rewrite successes : 27
% # Backwards rewriting index: 921 leaves, 2.72+/-6.283 terms/leaf
% # Paramod-from index: 183 leaves, 2.38+/-4.811 terms/leaf
% # Paramod-into index: 626 leaves, 2.15+/-4.142 terms/leaf
% # -------------------------------------------------
% # User time : 4.397 s
% # System time : 0.092 s
% # Total time : 4.489 s
% # Maximum resident set size: 0 pages
% PrfWatch: 5.56 CPU 6.41 WC
% FINAL PrfWatch: 5.56 CPU 6.41 WC
% SZS output end Solution for /tmp/SystemOnTPTP20401/SEU283+1.tptp
%
%------------------------------------------------------------------------------