%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU226+3 : TPTP v5.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art09.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Thu Dec 30 02:04:37 EST 2010

% Result   : Theorem 117.44s
% Output   : Solution 117.91s
% 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/SystemOnTPTP11759/SEU226+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t145_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:
% reflexivity_r1_tarski:
%  CSA axiom reflexivity_r1_tarski 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 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_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 ... rc3_funct_1:
%  CSA axiom rc3_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:
% rc1_relat_1:
% d3_tarski: CSA axiom d3_tarski found
% Looking for CSA axiom ... cc2_funct_1:
%  CSA axiom cc2_funct_1 found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% rc1_relat_1:
% rc1_xboole_0:
% rc2_xboole_0:
% d12_funct_1:
%  CSA axiom d12_funct_1 found
% Looking for CSA axiom ... d13_funct_1:
%  CSA axiom d13_funct_1 found
% Looking for CSA axiom ... rc1_subset_1:
%  CSA axiom rc1_subset_1 found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :rc1_subset_1:d13_funct_1:d12_funct_1:antisymmetry_r2_hidden:cc2_funct_1:d3_tarski:rc3_funct_1:rc2_relat_1:cc1_relat_1:cc1_funct_1:rc2_funct_1:reflexivity_r1_tarski (12)
% Unselected axioms are ... :rc1_funct_1:rc1_relat_1:rc1_xboole_0:rc2_xboole_0: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:fc5_relat_1:fc7_relat_1:t1_subset:fc12_relat_1:t4_subset:t6_boole:t2_subset:t5_subset (21)
% SZS status THM for /tmp/SystemOnTPTP11759/SEU226+3.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP11759/SEU226+3.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 15374
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 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))=>![X2]:![X3]:(X3=relation_inverse_image(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))),file('/tmp/SRASS.s.p', d13_funct_1)).
% fof(3, 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(6, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(13, conjecture,![X1]:![X2]:((relation(X2)&function(X2))=>subset(relation_image(X2,relation_inverse_image(X2,X1)),X1)),file('/tmp/SRASS.s.p', t145_funct_1)).
% fof(14, negated_conjecture,~(![X1]:![X2]:((relation(X2)&function(X2))=>subset(relation_image(X2,relation_inverse_image(X2,X1)),X1))),inference(assume_negation,[status(cth)],[13])).
% fof(24, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:![X3]:((~(X3=relation_inverse_image(X1,X2))|![X4]:((~(in(X4,X3))|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2)))&((~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|(~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2))))&(in(X4,X3)|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))|X3=relation_inverse_image(X1,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(25, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(?[X9]:((~(in(X9,X7))|(~(in(X9,relation_dom(X5)))|~(in(apply(X5,X9),X6))))&(in(X9,X7)|(in(X9,relation_dom(X5))&in(apply(X5,X9),X6))))|X7=relation_inverse_image(X5,X6)))),inference(variable_rename,[status(thm)],[24])).
% fof(26, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(((~(in(esk2_3(X5,X6,X7),X7))|(~(in(esk2_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk2_3(X5,X6,X7)),X6))))&(in(esk2_3(X5,X6,X7),X7)|(in(esk2_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk2_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))),inference(skolemize,[status(esa)],[25])).
% fof(27, plain,![X5]:![X6]:![X7]:![X8]:(((((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))&(((~(in(esk2_3(X5,X6,X7),X7))|(~(in(esk2_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk2_3(X5,X6,X7)),X6))))&(in(esk2_3(X5,X6,X7),X7)|(in(esk2_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk2_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[26])).
% fof(28, plain,![X5]:![X6]:![X7]:![X8]:((((((in(X8,relation_dom(X5))|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,X8),X6)|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(esk2_3(X5,X6,X7),X7))|(~(in(esk2_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk2_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&((((in(esk2_3(X5,X6,X7),relation_dom(X5))|in(esk2_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,esk2_3(X5,X6,X7)),X6)|in(esk2_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[27])).
% cnf(33,plain,(in(apply(X1,X4),X3)|~function(X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[28])).
% fof(35, 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)],[3])).
% fof(36, 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)],[35])).
% fof(37, plain,![X6]:((~(relation(X6))|~(function(X6)))|![X7]:![X8]:((~(X8=relation_image(X6,X7))|![X9]:((~(in(X9,X8))|((in(esk3_4(X6,X7,X8,X9),relation_dom(X6))&in(esk3_4(X6,X7,X8,X9),X7))&X9=apply(X6,esk3_4(X6,X7,X8,X9))))&(![X11]:((~(in(X11,relation_dom(X6)))|~(in(X11,X7)))|~(X9=apply(X6,X11)))|in(X9,X8))))&(((~(in(esk4_3(X6,X7,X8),X8))|![X13]:((~(in(X13,relation_dom(X6)))|~(in(X13,X7)))|~(esk4_3(X6,X7,X8)=apply(X6,X13))))&(in(esk4_3(X6,X7,X8),X8)|((in(esk5_3(X6,X7,X8),relation_dom(X6))&in(esk5_3(X6,X7,X8),X7))&esk4_3(X6,X7,X8)=apply(X6,esk5_3(X6,X7,X8)))))|X8=relation_image(X6,X7)))),inference(skolemize,[status(esa)],[36])).
% fof(38, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:(((((((~(in(X13,relation_dom(X6)))|~(in(X13,X7)))|~(esk4_3(X6,X7,X8)=apply(X6,X13)))|~(in(esk4_3(X6,X7,X8),X8)))&(in(esk4_3(X6,X7,X8),X8)|((in(esk5_3(X6,X7,X8),relation_dom(X6))&in(esk5_3(X6,X7,X8),X7))&esk4_3(X6,X7,X8)=apply(X6,esk5_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(esk3_4(X6,X7,X8,X9),relation_dom(X6))&in(esk3_4(X6,X7,X8,X9),X7))&X9=apply(X6,esk3_4(X6,X7,X8,X9)))))|~(X8=relation_image(X6,X7))))|(~(relation(X6))|~(function(X6)))),inference(shift_quantors,[status(thm)],[37])).
% fof(39, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:(((((((~(in(X13,relation_dom(X6)))|~(in(X13,X7)))|~(esk4_3(X6,X7,X8)=apply(X6,X13)))|~(in(esk4_3(X6,X7,X8),X8)))|X8=relation_image(X6,X7))|(~(relation(X6))|~(function(X6))))&(((((in(esk5_3(X6,X7,X8),relation_dom(X6))|in(esk4_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|(~(relation(X6))|~(function(X6))))&(((in(esk5_3(X6,X7,X8),X7)|in(esk4_3(X6,X7,X8),X8))|X8=relation_image(X6,X7))|(~(relation(X6))|~(function(X6)))))&(((esk4_3(X6,X7,X8)=apply(X6,esk5_3(X6,X7,X8))|in(esk4_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(esk3_4(X6,X7,X8,X9),relation_dom(X6))|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|(~(relation(X6))|~(function(X6))))&(((in(esk3_4(X6,X7,X8,X9),X7)|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|(~(relation(X6))|~(function(X6)))))&(((X9=apply(X6,esk3_4(X6,X7,X8,X9))|~(in(X9,X8)))|~(X8=relation_image(X6,X7)))|(~(relation(X6))|~(function(X6))))))),inference(distribute,[status(thm)],[38])).
% cnf(40,plain,(X4=apply(X1,esk3_4(X1,X3,X2,X4))|~function(X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[39])).
% cnf(41,plain,(in(esk3_4(X1,X3,X2,X4),X3)|~function(X1)|~relation(X1)|X2!=relation_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[39])).
% fof(57, 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)],[6])).
% fof(58, 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)],[57])).
% fof(59, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk6_2(X4,X5),X4)&~(in(esk6_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[58])).
% fof(60, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk6_2(X4,X5),X4)&~(in(esk6_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[59])).
% fof(61, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk6_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk6_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[60])).
% cnf(62,plain,(subset(X1,X2)|~in(esk6_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[61])).
% cnf(63,plain,(subset(X1,X2)|in(esk6_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[61])).
% fof(87, negated_conjecture,?[X1]:?[X2]:((relation(X2)&function(X2))&~(subset(relation_image(X2,relation_inverse_image(X2,X1)),X1))),inference(fof_nnf,[status(thm)],[14])).
% fof(88, negated_conjecture,?[X3]:?[X4]:((relation(X4)&function(X4))&~(subset(relation_image(X4,relation_inverse_image(X4,X3)),X3))),inference(variable_rename,[status(thm)],[87])).
% fof(89, negated_conjecture,((relation(esk11_0)&function(esk11_0))&~(subset(relation_image(esk11_0,relation_inverse_image(esk11_0,esk10_0)),esk10_0))),inference(skolemize,[status(esa)],[88])).
% cnf(90,negated_conjecture,(~subset(relation_image(esk11_0,relation_inverse_image(esk11_0,esk10_0)),esk10_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(91,negated_conjecture,(function(esk11_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(92,negated_conjecture,(relation(esk11_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(104,plain,(in(apply(X1,X2),X3)|~in(X2,relation_inverse_image(X1,X3))|~function(X1)|~relation(X1)),inference(er,[status(thm)],[33,theory(equality)])).
% cnf(159,plain,(in(apply(X1,esk3_4(X2,relation_inverse_image(X1,X3),X4,X5)),X3)|~function(X1)|~relation(X1)|relation_image(X2,relation_inverse_image(X1,X3))!=X4|~in(X5,X4)|~function(X2)|~relation(X2)),inference(spm,[status(thm)],[104,41,theory(equality)])).
% cnf(557,plain,(in(X4,X2)|relation_image(X1,relation_inverse_image(X1,X2))!=X3|~in(X4,X3)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[159,40,theory(equality)])).
% cnf(558,plain,(in(X1,X2)|~in(X1,relation_image(X3,relation_inverse_image(X3,X2)))|~function(X3)|~relation(X3)),inference(er,[status(thm)],[557,theory(equality)])).
% cnf(560,plain,(in(esk6_2(relation_image(X1,relation_inverse_image(X1,X2)),X3),X2)|subset(relation_image(X1,relation_inverse_image(X1,X2)),X3)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[558,63,theory(equality)])).
% cnf(595,plain,(subset(relation_image(X1,relation_inverse_image(X1,X2)),X2)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[62,560,theory(equality)])).
% cnf(597,negated_conjecture,(~function(esk11_0)|~relation(esk11_0)),inference(spm,[status(thm)],[90,595,theory(equality)])).
% cnf(598,negated_conjecture,($false|~relation(esk11_0)),inference(rw,[status(thm)],[597,91,theory(equality)])).
% cnf(599,negated_conjecture,($false|$false),inference(rw,[status(thm)],[598,92,theory(equality)])).
% cnf(600,negated_conjecture,($false),inference(cn,[status(thm)],[599,theory(equality)])).
% cnf(601,negated_conjecture,($false),600,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 113
% # ...of these trivial                : 1
% # ...subsumed                        : 7
% # ...remaining for further processing: 105
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 0
% # Backward-rewritten                 : 0
% # Generated clauses                  : 386
% # ...of the previous two non-trivial : 375
% # Contextual simplify-reflections    : 8
% # Paramodulations                    : 366
% # Factorizations                     : 6
% # Equation resolutions               : 14
% # Current number of processed clauses: 105
% #    Positive orientable unit clauses: 10
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 3
% #    Non-unit-clauses                : 92
% # Current number of unprocessed clauses: 297
% # ...number of literals in the above : 1909
% # Clause-clause subsumption calls (NU) : 511
% # Rec. Clause-clause subsumption calls : 211
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 0
% # Indexed BW rewrite successes       : 0
% # Backwards rewriting index:   145 leaves,   1.54+/-1.669 terms/leaf
% # Paramod-from index:           47 leaves,   1.09+/-0.279 terms/leaf
% # Paramod-into index:          125 leaves,   1.29+/-0.919 terms/leaf
% # -------------------------------------------------
% # User time              : 0.037 s
% # System time            : 0.004 s
% # Total time             : 0.041 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.15 CPU 0.44 WC
% FINAL PrfWatch: 0.15 CPU 0.44 WC
% SZS output end Solution for /tmp/SystemOnTPTP11759/SEU226+3.tptp
% 
%------------------------------------------------------------------------------