%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU076+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art04.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 00:57:31 EST 2010

% Result   : Theorem 119.89s
% Output   : Solution 120.38s
% 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/SystemOnTPTP29936/SEU076+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t157_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ... not found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% reflexivity_r1_tarski:
%  CSA axiom reflexivity_r1_tarski found
% Looking for CSA axiom ... cc2_funct_1:
%  CSA axiom cc2_funct_1 found
% Looking for CSA axiom ... fc5_relat_1:
%  CSA axiom fc5_relat_1 found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% fc7_relat_1:
%  CSA axiom fc7_relat_1 found
% Looking for CSA axiom ... rc2_funct_1: CSA axiom rc2_funct_1 found
% Looking for CSA axiom ... cc1_funct_1:
%  CSA axiom cc1_funct_1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% cc1_relat_1:
%  CSA axiom cc1_relat_1 found
% Looking for CSA axiom ... rc1_relat_1:
% rc2_relat_1:
%  CSA axiom rc2_relat_1 found
% Looking for CSA axiom ... d12_funct_1: CSA axiom d12_funct_1 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% rc3_funct_1:
% rc1_relat_1:
% d3_tarski:
%  CSA axiom d3_tarski found
% Looking for CSA axiom ... d8_funct_1:
%  CSA axiom d8_funct_1 found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :antisymmetry_r2_hidden:d8_funct_1:d3_tarski:d12_funct_1:rc2_relat_1:cc1_relat_1:cc1_funct_1:rc2_funct_1:fc7_relat_1:fc5_relat_1:cc2_funct_1:reflexivity_r1_tarski (12)
% Unselected axioms are ... :rc1_funct_1:rc3_funct_1:rc1_relat_1:rc1_xboole_0:rc2_xboole_0:rc1_subset_1:rc2_subset_1:rc3_relat_1:t3_subset:fc1_subset_1:t8_boole:existence_m1_subset_1:fc1_xboole_0:t7_boole:fc4_relat_1:t1_subset:fc12_relat_1:t4_subset:t2_subset:t6_boole:t5_subset (21)
% SZS status THM for /tmp/SystemOnTPTP29936/SEU076+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP29936/SEU076+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC  time limit is 1200s
% TreeLimitedRun: PID is 1286
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)<=>![X2]:![X3]:(((in(X2,relation_dom(X1))&in(X3,relation_dom(X1)))&apply(X1,X2)=apply(X1,X3))=>X2=X3))),file('/tmp/SRASS.s.p', d8_funct_1)).
% fof(3, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(4, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:(X3=relation_image(X1,X2)<=>![X4]:(in(X4,X3)<=>?[X5]:((in(X5,relation_dom(X1))&in(X5,X2))&X4=apply(X1,X5))))),file('/tmp/SRASS.s.p', d12_funct_1)).
% fof(13, conjecture,![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>(((subset(relation_image(X3,X1),relation_image(X3,X2))&subset(X1,relation_dom(X3)))&one_to_one(X3))=>subset(X1,X2))),file('/tmp/SRASS.s.p', t157_funct_1)).
% fof(14, negated_conjecture,~(![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>(((subset(relation_image(X3,X1),relation_image(X3,X2))&subset(X1,relation_dom(X3)))&one_to_one(X3))=>subset(X1,X2)))),inference(assume_negation,[status(cth)],[13])).
% fof(21, plain,![X1]:((~(relation(X1))|~(function(X1)))|((~(one_to_one(X1))|![X2]:![X3]:(((~(in(X2,relation_dom(X1)))|~(in(X3,relation_dom(X1))))|~(apply(X1,X2)=apply(X1,X3)))|X2=X3))&(?[X2]:?[X3]:(((in(X2,relation_dom(X1))&in(X3,relation_dom(X1)))&apply(X1,X2)=apply(X1,X3))&~(X2=X3))|one_to_one(X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(22, plain,![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6))&(?[X7]:?[X8]:(((in(X7,relation_dom(X4))&in(X8,relation_dom(X4)))&apply(X4,X7)=apply(X4,X8))&~(X7=X8))|one_to_one(X4)))),inference(variable_rename,[status(thm)],[21])).
% fof(23, plain,![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6))&((((in(esk1_1(X4),relation_dom(X4))&in(esk2_1(X4),relation_dom(X4)))&apply(X4,esk1_1(X4))=apply(X4,esk2_1(X4)))&~(esk1_1(X4)=esk2_1(X4)))|one_to_one(X4)))),inference(skolemize,[status(esa)],[22])).
% fof(24, plain,![X4]:![X5]:![X6]:((((((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6)|~(one_to_one(X4)))&((((in(esk1_1(X4),relation_dom(X4))&in(esk2_1(X4),relation_dom(X4)))&apply(X4,esk1_1(X4))=apply(X4,esk2_1(X4)))&~(esk1_1(X4)=esk2_1(X4)))|one_to_one(X4)))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[23])).
% fof(25, plain,![X4]:![X5]:![X6]:((((((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6)|~(one_to_one(X4)))|(~(relation(X4))|~(function(X4))))&(((((in(esk1_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4))))&((in(esk2_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((apply(X4,esk1_1(X4))=apply(X4,esk2_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((~(esk1_1(X4)=esk2_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))),inference(distribute,[status(thm)],[24])).
% cnf(30,plain,(X2=X3|~function(X1)|~relation(X1)|~one_to_one(X1)|apply(X1,X2)!=apply(X1,X3)|~in(X3,relation_dom(X1))|~in(X2,relation_dom(X1))),inference(split_conjunct,[status(thm)],[25])).
% fof(31, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(in(X3,X1))|in(X3,X2)))&(?[X3]:(in(X3,X1)&~(in(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(32, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&(?[X7]:(in(X7,X4)&~(in(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[31])).
% fof(33, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk3_2(X4,X5),X4)&~(in(esk3_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[32])).
% fof(34, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk3_2(X4,X5),X4)&~(in(esk3_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[33])).
% fof(35, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk3_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk3_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[34])).
% cnf(36,plain,(subset(X1,X2)|~in(esk3_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[35])).
% cnf(37,plain,(subset(X1,X2)|in(esk3_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[35])).
% cnf(38,plain,(in(X3,X2)|~subset(X1,X2)|~in(X3,X1)),inference(split_conjunct,[status(thm)],[35])).
% fof(39, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:![X3]:((~(X3=relation_image(X1,X2))|![X4]:((~(in(X4,X3))|?[X5]:((in(X5,relation_dom(X1))&in(X5,X2))&X4=apply(X1,X5)))&(![X5]:((~(in(X5,relation_dom(X1)))|~(in(X5,X2)))|~(X4=apply(X1,X5)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|![X5]:((~(in(X5,relation_dom(X1)))|~(in(X5,X2)))|~(X4=apply(X1,X5))))&(in(X4,X3)|?[X5]:((in(X5,relation_dom(X1))&in(X5,X2))&X4=apply(X1,X5))))|X3=relation_image(X1,X2)))),inference(fof_nnf,[status(thm)],[4])).
% fof(40, plain,![X6]:((~(relation(X6))|~(function(X6)))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|?[X10]:((in(X10,relation_dom(X6))&in(X10,X7))&X9=apply(X6,X10)))&(![X11]:((~(in(X11,relation_dom(X6)))|~(in(X11,X7)))|~(X9=apply(X6,X11)))|in(X9,X8))))&(?[X12]:((~(in(X12,X8))|![X13]:((~(in(X13,relation_dom(X6)))|~(in(X13,X7)))|~(X12=apply(X6,X13))))&(in(X12,X8)|?[X14]:((in(X14,relation_dom(X6))&in(X14,X7))&X12=apply(X6,X14))))|X8=relation_image(X6,X7)))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X6]:((~(relation(X6))|~(function(X6)))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|((in(esk4_4(X6,X7,X8,X9),relation_dom(X6))&in(esk4_4(X6,X7,X8,X9),X7))&X9=apply(X6,esk4_4(X6,X7,X8,X9))))&(![X11]:((~(in(X11,relation_dom(X6)))|~(in(X11,X7)))|~(X9=apply(X6,X11)))|in(X9,X8))))&(((~(in(esk5_3(X6,X7,X8),X8))|![X13]:((~(in(X13,relation_dom(X6)))|~(in(X13,X7)))|~(esk5_3(X6,X7,X8)=apply(X6,X13))))&(in(esk5_3(X6,X7,X8),X8)|((in(esk6_3(X6,X7,X8),relation_dom(X6))&in(esk6_3(X6,X7,X8),X7))&esk5_3(X6,X7,X8)=apply(X6,esk6_3(X6,X7,X8)))))|X8=relation_image(X6,X7)))),inference(skolemize,[status(esa)],[40])).
% fof(42, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:(((((((~(in(X13,relation_dom(X6)))|~(in(X13,X7)))|~(esk5_3(X6,X7,X8)=apply(X6,X13)))|~(in(esk5_3(X6,X7,X8),X8)))&(in(esk5_3(X6,X7,X8),X8)|((in(esk6_3(X6,X7,X8),relation_dom(X6))&in(esk6_3(X6,X7,X8),X7))&esk5_3(X6,X7,X8)=apply(X6,esk6_3(X6,X7,X8)))))|X8=relation_image(X6,X7))&(((((~(in(X11,relation_dom(X6)))|~(in(X11,X7)))|~(X9=apply(X6,X11)))|in(X9,X8))&(~(in(X9,X8))|((in(esk4_4(X6,X7,X8,X9),relation_dom(X6))&in(esk4_4(X6,X7,X8,X9),X7))&X9=apply(X6,esk4_4(X6,X7,X8,X9)))))|~(X8=relation_image(X6,X7))))|(~(relation(X6))|~(function(X6)))),inference(shift_quantors,[status(thm)],[41])).
% fof(43, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:(((((((~(in(X13,relation_dom(X6)))|~(in(X13,X7)))|~(esk5_3(X6,X7,X8)=apply(X6,X13)))|~(in(esk5_3(X6,X7,X8),X8)))|X8=relation_image(X6,X7))|(~(relation(X6))|~(function(X6))))&(((((in(esk6_3(X6,X7,X8),relation_dom(X6))|in(esk5_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|(~(relation(X6))|~(function(X6))))&(((in(esk6_3(X6,X7,X8),X7)|in(esk5_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|(~(relation(X6))|~(function(X6)))))&(((esk5_3(X6,X7,X8)=apply(X6,esk6_3(X6,X7,X8))|in(esk5_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|(~(relation(X6))|~(function(X6))))))&((((((~(in(X11,relation_dom(X6)))|~(in(X11,X7)))|~(X9=apply(X6,X11)))|in(X9,X8))|~(X8=relation_image(X6,X7)))|(~(relation(X6))|~(function(X6))))&(((((in(esk4_4(X6,X7,X8,X9),relation_dom(X6))|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|(~(relation(X6))|~(function(X6))))&(((in(esk4_4(X6,X7,X8,X9),X7)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|(~(relation(X6))|~(function(X6)))))&(((X9=apply(X6,esk4_4(X6,X7,X8,X9))|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|(~(relation(X6))|~(function(X6))))))),inference(distribute,[status(thm)],[42])).
% cnf(44,plain,(X4=apply(X1,esk4_4(X1,X3,X2,X4))|~function(X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(45,plain,(in(esk4_4(X1,X3,X2,X4),X3)|~function(X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(46,plain,(in(esk4_4(X1,X3,X2,X4),relation_dom(X1))|~function(X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(47,plain,(in(X4,X2)|~function(X1)|~relation(X1)|X2!=relation_image(X1,X3)|X4!=apply(X1,X5)|~in(X5,X3)|~in(X5,relation_dom(X1))),inference(split_conjunct,[status(thm)],[43])).
% fof(83, negated_conjecture,?[X1]:?[X2]:?[X3]:((relation(X3)&function(X3))&(((subset(relation_image(X3,X1),relation_image(X3,X2))&subset(X1,relation_dom(X3)))&one_to_one(X3))&~(subset(X1,X2)))),inference(fof_nnf,[status(thm)],[14])).
% fof(84, negated_conjecture,?[X4]:?[X5]:?[X6]:((relation(X6)&function(X6))&(((subset(relation_image(X6,X4),relation_image(X6,X5))&subset(X4,relation_dom(X6)))&one_to_one(X6))&~(subset(X4,X5)))),inference(variable_rename,[status(thm)],[83])).
% fof(85, negated_conjecture,((relation(esk11_0)&function(esk11_0))&(((subset(relation_image(esk11_0,esk9_0),relation_image(esk11_0,esk10_0))&subset(esk9_0,relation_dom(esk11_0)))&one_to_one(esk11_0))&~(subset(esk9_0,esk10_0)))),inference(skolemize,[status(esa)],[84])).
% cnf(86,negated_conjecture,(~subset(esk9_0,esk10_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,negated_conjecture,(one_to_one(esk11_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(88,negated_conjecture,(subset(esk9_0,relation_dom(esk11_0))),inference(split_conjunct,[status(thm)],[85])).
% cnf(89,negated_conjecture,(subset(relation_image(esk11_0,esk9_0),relation_image(esk11_0,esk10_0))),inference(split_conjunct,[status(thm)],[85])).
% cnf(90,negated_conjecture,(function(esk11_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(91,negated_conjecture,(relation(esk11_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(101,negated_conjecture,(in(X1,relation_dom(esk11_0))|~in(X1,esk9_0)),inference(spm,[status(thm)],[38,88,theory(equality)])).
% cnf(102,negated_conjecture,(in(X1,relation_image(esk11_0,esk10_0))|~in(X1,relation_image(esk11_0,esk9_0))),inference(spm,[status(thm)],[38,89,theory(equality)])).
% cnf(111,plain,(in(apply(X1,X2),X3)|relation_image(X1,X4)!=X3|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))|~in(X2,X4)),inference(er,[status(thm)],[47,theory(equality)])).
% cnf(115,negated_conjecture,(X1=X2|apply(esk11_0,X1)!=apply(esk11_0,X2)|~function(esk11_0)|~relation(esk11_0)|~in(X2,relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))),inference(spm,[status(thm)],[30,87,theory(equality)])).
% cnf(117,negated_conjecture,(X1=X2|apply(esk11_0,X1)!=apply(esk11_0,X2)|$false|~relation(esk11_0)|~in(X2,relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))),inference(rw,[status(thm)],[115,90,theory(equality)])).
% cnf(118,negated_conjecture,(X1=X2|apply(esk11_0,X1)!=apply(esk11_0,X2)|$false|$false|~in(X2,relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))),inference(rw,[status(thm)],[117,91,theory(equality)])).
% cnf(119,negated_conjecture,(X1=X2|apply(esk11_0,X1)!=apply(esk11_0,X2)|~in(X2,relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))),inference(cn,[status(thm)],[118,theory(equality)])).
% cnf(154,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|~in(esk4_4(esk11_0,X2,X3,X4),relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))|relation_image(esk11_0,X2)!=X3|~function(esk11_0)|~relation(esk11_0)|~in(X4,X3)),inference(spm,[status(thm)],[119,44,theory(equality)])).
% cnf(158,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|~in(esk4_4(esk11_0,X2,X3,X4),relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))|relation_image(esk11_0,X2)!=X3|$false|~relation(esk11_0)|~in(X4,X3)),inference(rw,[status(thm)],[154,90,theory(equality)])).
% cnf(159,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|~in(esk4_4(esk11_0,X2,X3,X4),relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))|relation_image(esk11_0,X2)!=X3|$false|$false|~in(X4,X3)),inference(rw,[status(thm)],[158,91,theory(equality)])).
% cnf(160,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|~in(esk4_4(esk11_0,X2,X3,X4),relation_dom(esk11_0))|~in(X1,relation_dom(esk11_0))|relation_image(esk11_0,X2)!=X3|~in(X4,X3)),inference(cn,[status(thm)],[159,theory(equality)])).
% cnf(174,plain,(in(apply(X1,X2),relation_image(X1,X3))|~function(X1)|~relation(X1)|~in(X2,relation_dom(X1))|~in(X2,X3)),inference(er,[status(thm)],[111,theory(equality)])).
% cnf(348,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|relation_image(esk11_0,X2)!=X3|~in(X1,relation_dom(esk11_0))|~in(X4,X3)|~function(esk11_0)|~relation(esk11_0)),inference(spm,[status(thm)],[160,46,theory(equality)])).
% cnf(352,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|relation_image(esk11_0,X2)!=X3|~in(X1,relation_dom(esk11_0))|~in(X4,X3)|$false|~relation(esk11_0)),inference(rw,[status(thm)],[348,90,theory(equality)])).
% cnf(353,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|relation_image(esk11_0,X2)!=X3|~in(X1,relation_dom(esk11_0))|~in(X4,X3)|$false|$false),inference(rw,[status(thm)],[352,91,theory(equality)])).
% cnf(354,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,X4)|apply(esk11_0,X1)!=X4|relation_image(esk11_0,X2)!=X3|~in(X1,relation_dom(esk11_0))|~in(X4,X3)),inference(cn,[status(thm)],[353,theory(equality)])).
% cnf(355,negated_conjecture,(X1=esk4_4(esk11_0,X2,X3,apply(esk11_0,X1))|relation_image(esk11_0,X2)!=X3|~in(X1,relation_dom(esk11_0))|~in(apply(esk11_0,X1),X3)),inference(er,[status(thm)],[354,theory(equality)])).
% cnf(367,negated_conjecture,(in(X3,X1)|relation_image(esk11_0,X1)!=X2|~function(esk11_0)|~relation(esk11_0)|~in(apply(esk11_0,X3),X2)|~in(X3,relation_dom(esk11_0))),inference(spm,[status(thm)],[45,355,theory(equality)])).
% cnf(376,negated_conjecture,(in(X3,X1)|relation_image(esk11_0,X1)!=X2|$false|~relation(esk11_0)|~in(apply(esk11_0,X3),X2)|~in(X3,relation_dom(esk11_0))),inference(rw,[status(thm)],[367,90,theory(equality)])).
% cnf(377,negated_conjecture,(in(X3,X1)|relation_image(esk11_0,X1)!=X2|$false|$false|~in(apply(esk11_0,X3),X2)|~in(X3,relation_dom(esk11_0))),inference(rw,[status(thm)],[376,91,theory(equality)])).
% cnf(378,negated_conjecture,(in(X3,X1)|relation_image(esk11_0,X1)!=X2|~in(apply(esk11_0,X3),X2)|~in(X3,relation_dom(esk11_0))),inference(cn,[status(thm)],[377,theory(equality)])).
% cnf(461,negated_conjecture,(in(X1,X2)|relation_image(esk11_0,X2)!=relation_image(esk11_0,esk10_0)|~in(X1,relation_dom(esk11_0))|~in(apply(esk11_0,X1),relation_image(esk11_0,esk9_0))),inference(spm,[status(thm)],[378,102,theory(equality)])).
% cnf(697,negated_conjecture,(in(X1,X2)|relation_image(esk11_0,X2)!=relation_image(esk11_0,esk10_0)|~in(X1,relation_dom(esk11_0))|~function(esk11_0)|~relation(esk11_0)|~in(X1,esk9_0)),inference(spm,[status(thm)],[461,174,theory(equality)])).
% cnf(705,negated_conjecture,(in(X1,X2)|relation_image(esk11_0,X2)!=relation_image(esk11_0,esk10_0)|~in(X1,relation_dom(esk11_0))|$false|~relation(esk11_0)|~in(X1,esk9_0)),inference(rw,[status(thm)],[697,90,theory(equality)])).
% cnf(706,negated_conjecture,(in(X1,X2)|relation_image(esk11_0,X2)!=relation_image(esk11_0,esk10_0)|~in(X1,relation_dom(esk11_0))|$false|$false|~in(X1,esk9_0)),inference(rw,[status(thm)],[705,91,theory(equality)])).
% cnf(707,negated_conjecture,(in(X1,X2)|relation_image(esk11_0,X2)!=relation_image(esk11_0,esk10_0)|~in(X1,relation_dom(esk11_0))|~in(X1,esk9_0)),inference(cn,[status(thm)],[706,theory(equality)])).
% cnf(708,negated_conjecture,(in(X1,X2)|relation_image(esk11_0,X2)!=relation_image(esk11_0,esk10_0)|~in(X1,esk9_0)),inference(csr,[status(thm)],[707,101])).
% cnf(712,negated_conjecture,(in(esk3_2(esk9_0,X1),X2)|subset(esk9_0,X1)|relation_image(esk11_0,X2)!=relation_image(esk11_0,esk10_0)),inference(spm,[status(thm)],[708,37,theory(equality)])).
% cnf(736,negated_conjecture,(subset(esk9_0,X1)|relation_image(esk11_0,X1)!=relation_image(esk11_0,esk10_0)),inference(spm,[status(thm)],[36,712,theory(equality)])).
% cnf(739,negated_conjecture,($false),inference(spm,[status(thm)],[86,736,theory(equality)])).
% cnf(740,negated_conjecture,($false),739,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 154
% # ...of these trivial                : 1
% # ...subsumed                        : 25
% # ...remaining for further processing: 128
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 1
% # Backward-rewritten                 : 0
% # Generated clauses                  : 364
% # ...of the previous two non-trivial : 330
% # Contextual simplify-reflections    : 35
% # Paramodulations                    : 350
% # Factorizations                     : 0
% # Equation resolutions               : 14
% # Current number of processed clauses: 127
% #    Positive orientable unit clauses: 11
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 5
% #    Non-unit-clauses                : 111
% # Current number of unprocessed clauses: 209
% # ...number of literals in the above : 1168
% # Clause-clause subsumption calls (NU) : 1225
% # Rec. Clause-clause subsumption calls : 608
% # Unit Clause-clause subsumption calls : 5
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 1
% # Indexed BW rewrite successes       : 0
% # Backwards rewriting index:   156 leaves,   1.47+/-1.407 terms/leaf
% # Paramod-from index:           41 leaves,   1.00+/-0.000 terms/leaf
% # Paramod-into index:          124 leaves,   1.27+/-0.700 terms/leaf
% # -------------------------------------------------
% # User time              : 0.038 s
% # System time            : 0.007 s
% # Total time             : 0.045 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.15 CPU 0.27 WC
% FINAL PrfWatch: 0.15 CPU 0.27 WC
% SZS output end Solution for /tmp/SystemOnTPTP29936/SEU076+1.tptp
% 
%------------------------------------------------------------------------------