%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU075+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 : art03.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 00:54:33 EST 2010

% Result   : Theorem 112.15s
% Output   : Solution 112.83s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP7462/SEU075+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~t156_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... dt_k5_relat_1:
%  CSA axiom dt_k5_relat_1 found
% Looking for CSA axiom ... fc1_funct_1:
%  CSA axiom fc1_funct_1 found
% Looking for CSA axiom ... rc1_funct_1:
% fc10_relat_1:
%  CSA axiom fc10_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:
% fc5_relat_1:
%  CSA axiom fc5_relat_1 found
% Looking for CSA axiom ... fc6_relat_1:
%  CSA axiom fc6_relat_1 found
% Looking for CSA axiom ... fc7_relat_1:
%  CSA axiom fc7_relat_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:
% fc8_relat_1:
%  CSA axiom fc8_relat_1 found
% Looking for CSA axiom ... fc9_relat_1: CSA axiom fc9_relat_1 found
% Looking for CSA axiom ... rc2_funct_1:
%  CSA axiom rc2_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:
% t8_boole:
%  CSA axiom t8_boole found
% Looking for CSA axiom ... d5_funct_1:
%  CSA axiom d5_funct_1 found
% Looking for CSA axiom ... t23_funct_1:
%  CSA axiom t23_funct_1 found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... rc1_funct_1:
% cc1_funct_1:
% t9_funct_1:
%  CSA axiom t9_funct_1 found
% Looking for CSA axiom ... cc1_relat_1:
% rc1_relat_1:
% rc2_relat_1:
% rc3_funct_1:
%  CSA axiom rc3_funct_1 found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
%  CSA axiom antisymmetry_r2_hidden found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :antisymmetry_r2_hidden:rc3_funct_1:t9_funct_1:t23_funct_1:d5_funct_1:t8_boole:rc2_funct_1:fc9_relat_1:fc8_relat_1:fc7_relat_1:fc6_relat_1:fc5_relat_1:fc10_relat_1:fc1_funct_1:dt_k5_relat_1 (15)
% Unselected axioms are ... :rc1_funct_1:cc1_funct_1:cc1_relat_1:rc1_relat_1:rc2_relat_1:fc1_xboole_0:rc1_xboole_0:rc2_xboole_0:cc2_funct_1:t6_boole:t7_boole:existence_m1_subset_1:rc3_relat_1:t1_subset:fc12_relat_1:fc4_relat_1:t4_subset:reflexivity_r1_tarski:t2_subset:t5_subset:t3_subset:fc1_subset_1:rc1_subset_1:rc2_subset_1 (24)
% SZS status THM for /tmp/SystemOnTPTP7462/SEU075+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP7462/SEU075+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 11491
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((relation_dom(X1)=relation_dom(X2)&![X3]:(in(X3,relation_dom(X1))=>apply(X1,X3)=apply(X2,X3)))=>X1=X2))),file('/tmp/SRASS.s.p', t9_funct_1)).
% fof(4, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(X2))=>apply(relation_composition(X2,X3),X1)=apply(X3,apply(X2,X1))))),file('/tmp/SRASS.s.p', t23_funct_1)).
% fof(5, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:(X2=relation_rng(X1)<=>![X3]:(in(X3,X2)<=>?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4))))),file('/tmp/SRASS.s.p', d5_funct_1)).
% fof(16, conjecture,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>![X4]:((relation(X4)&function(X4))=>((((X1=relation_rng(X2)&relation_dom(X3)=X1)&relation_dom(X4)=X1)&relation_composition(X2,X3)=relation_composition(X2,X4))=>X3=X4)))),file('/tmp/SRASS.s.p', t156_funct_1)).
% fof(17, negated_conjecture,~(![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>![X4]:((relation(X4)&function(X4))=>((((X1=relation_rng(X2)&relation_dom(X3)=X1)&relation_dom(X4)=X1)&relation_composition(X2,X3)=relation_composition(X2,X4))=>X3=X4))))),inference(assume_negation,[status(cth)],[16])).
% fof(29, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:((~(relation(X2))|~(function(X2)))|((~(relation_dom(X1)=relation_dom(X2))|?[X3]:(in(X3,relation_dom(X1))&~(apply(X1,X3)=apply(X2,X3))))|X1=X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(30, plain,![X4]:((~(relation(X4))|~(function(X4)))|![X5]:((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|?[X6]:(in(X6,relation_dom(X4))&~(apply(X4,X6)=apply(X5,X6))))|X4=X5))),inference(variable_rename,[status(thm)],[29])).
% fof(31, plain,![X4]:((~(relation(X4))|~(function(X4)))|![X5]:((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|(in(esk2_2(X4,X5),relation_dom(X4))&~(apply(X4,esk2_2(X4,X5))=apply(X5,esk2_2(X4,X5)))))|X4=X5))),inference(skolemize,[status(esa)],[30])).
% fof(32, plain,![X4]:![X5]:(((~(relation(X5))|~(function(X5)))|((~(relation_dom(X4)=relation_dom(X5))|(in(esk2_2(X4,X5),relation_dom(X4))&~(apply(X4,esk2_2(X4,X5))=apply(X5,esk2_2(X4,X5)))))|X4=X5))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[31])).
% fof(33, plain,![X4]:![X5]:(((((in(esk2_2(X4,X5),relation_dom(X4))|~(relation_dom(X4)=relation_dom(X5)))|X4=X5)|(~(relation(X5))|~(function(X5))))|(~(relation(X4))|~(function(X4))))&((((~(apply(X4,esk2_2(X4,X5))=apply(X5,esk2_2(X4,X5)))|~(relation_dom(X4)=relation_dom(X5)))|X4=X5)|(~(relation(X5))|~(function(X5))))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[32])).
% cnf(34,plain,(X1=X2|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|relation_dom(X1)!=relation_dom(X2)|apply(X1,esk2_2(X1,X2))!=apply(X2,esk2_2(X1,X2))),inference(split_conjunct,[status(thm)],[33])).
% cnf(35,plain,(X1=X2|in(esk2_2(X1,X2),relation_dom(X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|relation_dom(X1)!=relation_dom(X2)),inference(split_conjunct,[status(thm)],[33])).
% fof(36, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|(~(in(X1,relation_dom(X2)))|apply(relation_composition(X2,X3),X1)=apply(X3,apply(X2,X1))))),inference(fof_nnf,[status(thm)],[4])).
% fof(37, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(X5)))|apply(relation_composition(X5,X6),X4)=apply(X6,apply(X5,X4))))),inference(variable_rename,[status(thm)],[36])).
% fof(38, plain,![X4]:![X5]:![X6]:(((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(X5)))|apply(relation_composition(X5,X6),X4)=apply(X6,apply(X5,X4))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[37])).
% cnf(39,plain,(apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~function(X1)|~relation(X1)|~in(X3,relation_dom(X1))|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:((~(X2=relation_rng(X1))|![X3]:((~(in(X3,X2))|?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&(![X4]:(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4)))|in(X3,X2))))&(?[X3]:((~(in(X3,X2))|![X4]:(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4))))&(in(X3,X2)|?[X4]:(in(X4,relation_dom(X1))&X3=apply(X1,X4))))|X2=relation_rng(X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(41, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|?[X8]:(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(?[X10]:((~(in(X10,X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(X10=apply(X5,X11))))&(in(X10,X6)|?[X12]:(in(X12,relation_dom(X5))&X10=apply(X5,X12))))|X6=relation_rng(X5)))),inference(variable_rename,[status(thm)],[40])).
% fof(42, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|(in(esk3_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk3_3(X5,X6,X7))))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(((~(in(esk4_2(X5,X6),X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,X11))))&(in(esk4_2(X5,X6),X6)|(in(esk5_2(X5,X6),relation_dom(X5))&esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[41])).
% fof(43, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,X11)))|~(in(esk4_2(X5,X6),X6)))&(in(esk4_2(X5,X6),X6)|(in(esk5_2(X5,X6),relation_dom(X5))&esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))))|X6=relation_rng(X5))&((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))&(~(in(X7,X6))|(in(esk3_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk3_3(X5,X6,X7)))))|~(X6=relation_rng(X5))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[42])).
% fof(44, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,X11)))|~(in(esk4_2(X5,X6),X6)))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&((((in(esk5_2(X5,X6),relation_dom(X5))|in(esk4_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&(((esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6))|in(esk4_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))))&(((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&((((in(esk3_3(X5,X6,X7),relation_dom(X5))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&(((X7=apply(X5,esk3_3(X5,X6,X7))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[43])).
% cnf(45,plain,(X3=apply(X1,esk3_3(X1,X2,X3))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[44])).
% cnf(46,plain,(in(esk3_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[44])).
% fof(93, negated_conjecture,?[X1]:?[X2]:((relation(X2)&function(X2))&?[X3]:((relation(X3)&function(X3))&?[X4]:((relation(X4)&function(X4))&((((X1=relation_rng(X2)&relation_dom(X3)=X1)&relation_dom(X4)=X1)&relation_composition(X2,X3)=relation_composition(X2,X4))&~(X3=X4))))),inference(fof_nnf,[status(thm)],[17])).
% fof(94, negated_conjecture,?[X5]:?[X6]:((relation(X6)&function(X6))&?[X7]:((relation(X7)&function(X7))&?[X8]:((relation(X8)&function(X8))&((((X5=relation_rng(X6)&relation_dom(X7)=X5)&relation_dom(X8)=X5)&relation_composition(X6,X7)=relation_composition(X6,X8))&~(X7=X8))))),inference(variable_rename,[status(thm)],[93])).
% fof(95, negated_conjecture,((relation(esk8_0)&function(esk8_0))&((relation(esk9_0)&function(esk9_0))&((relation(esk10_0)&function(esk10_0))&((((esk7_0=relation_rng(esk8_0)&relation_dom(esk9_0)=esk7_0)&relation_dom(esk10_0)=esk7_0)&relation_composition(esk8_0,esk9_0)=relation_composition(esk8_0,esk10_0))&~(esk9_0=esk10_0))))),inference(skolemize,[status(esa)],[94])).
% cnf(96,negated_conjecture,(esk9_0!=esk10_0),inference(split_conjunct,[status(thm)],[95])).
% cnf(97,negated_conjecture,(relation_composition(esk8_0,esk9_0)=relation_composition(esk8_0,esk10_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(98,negated_conjecture,(relation_dom(esk10_0)=esk7_0),inference(split_conjunct,[status(thm)],[95])).
% cnf(99,negated_conjecture,(relation_dom(esk9_0)=esk7_0),inference(split_conjunct,[status(thm)],[95])).
% cnf(100,negated_conjecture,(esk7_0=relation_rng(esk8_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(101,negated_conjecture,(function(esk10_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(102,negated_conjecture,(relation(esk10_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(103,negated_conjecture,(function(esk9_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(104,negated_conjecture,(relation(esk9_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(105,negated_conjecture,(function(esk8_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(106,negated_conjecture,(relation(esk8_0)),inference(split_conjunct,[status(thm)],[95])).
% cnf(206,negated_conjecture,(apply(esk8_0,esk3_3(esk8_0,X1,X2))=X2|esk7_0!=X1|~function(esk8_0)|~relation(esk8_0)|~in(X2,X1)),inference(spm,[status(thm)],[45,100,theory(equality)])).
% cnf(209,negated_conjecture,(apply(esk8_0,esk3_3(esk8_0,X1,X2))=X2|esk7_0!=X1|$false|~relation(esk8_0)|~in(X2,X1)),inference(rw,[status(thm)],[206,105,theory(equality)])).
% cnf(210,negated_conjecture,(apply(esk8_0,esk3_3(esk8_0,X1,X2))=X2|esk7_0!=X1|$false|$false|~in(X2,X1)),inference(rw,[status(thm)],[209,106,theory(equality)])).
% cnf(211,negated_conjecture,(apply(esk8_0,esk3_3(esk8_0,X1,X2))=X2|esk7_0!=X1|~in(X2,X1)),inference(cn,[status(thm)],[210,theory(equality)])).
% cnf(215,negated_conjecture,(in(esk3_3(esk8_0,X1,X2),relation_dom(esk8_0))|esk7_0!=X1|~function(esk8_0)|~relation(esk8_0)|~in(X2,X1)),inference(spm,[status(thm)],[46,100,theory(equality)])).
% cnf(218,negated_conjecture,(in(esk3_3(esk8_0,X1,X2),relation_dom(esk8_0))|esk7_0!=X1|$false|~relation(esk8_0)|~in(X2,X1)),inference(rw,[status(thm)],[215,105,theory(equality)])).
% cnf(219,negated_conjecture,(in(esk3_3(esk8_0,X1,X2),relation_dom(esk8_0))|esk7_0!=X1|$false|$false|~in(X2,X1)),inference(rw,[status(thm)],[218,106,theory(equality)])).
% cnf(220,negated_conjecture,(in(esk3_3(esk8_0,X1,X2),relation_dom(esk8_0))|esk7_0!=X1|~in(X2,X1)),inference(cn,[status(thm)],[219,theory(equality)])).
% cnf(225,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=esk7_0|~function(esk9_0)|~function(X1)|~relation(esk9_0)|~relation(X1)),inference(spm,[status(thm)],[34,99,theory(equality)])).
% cnf(233,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=esk7_0|$false|~function(X1)|~relation(esk9_0)|~relation(X1)),inference(rw,[status(thm)],[225,103,theory(equality)])).
% cnf(234,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=esk7_0|$false|~function(X1)|$false|~relation(X1)),inference(rw,[status(thm)],[233,104,theory(equality)])).
% cnf(235,negated_conjecture,(X1=esk9_0|apply(X1,esk2_2(X1,esk9_0))!=apply(esk9_0,esk2_2(X1,esk9_0))|relation_dom(X1)!=esk7_0|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[234,theory(equality)])).
% cnf(263,negated_conjecture,(esk10_0=X1|in(esk2_2(esk10_0,X1),esk7_0)|esk7_0!=relation_dom(X1)|~function(X1)|~function(esk10_0)|~relation(X1)|~relation(esk10_0)),inference(spm,[status(thm)],[35,98,theory(equality)])).
% cnf(271,negated_conjecture,(esk10_0=X1|in(esk2_2(esk10_0,X1),esk7_0)|esk7_0!=relation_dom(X1)|~function(X1)|$false|~relation(X1)|~relation(esk10_0)),inference(rw,[status(thm)],[263,101,theory(equality)])).
% cnf(272,negated_conjecture,(esk10_0=X1|in(esk2_2(esk10_0,X1),esk7_0)|esk7_0!=relation_dom(X1)|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[271,102,theory(equality)])).
% cnf(273,negated_conjecture,(esk10_0=X1|in(esk2_2(esk10_0,X1),esk7_0)|esk7_0!=relation_dom(X1)|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[272,theory(equality)])).
% cnf(1414,negated_conjecture,(apply(esk8_0,esk3_3(esk8_0,esk7_0,X1))=X1|~in(X1,esk7_0)),inference(er,[status(thm)],[211,theory(equality)])).
% cnf(1422,negated_conjecture,(in(esk3_3(esk8_0,esk7_0,X1),relation_dom(esk8_0))|~in(X1,esk7_0)),inference(er,[status(thm)],[220,theory(equality)])).
% cnf(2949,negated_conjecture,(esk10_0=esk9_0|apply(esk10_0,esk2_2(esk10_0,esk9_0))!=apply(esk9_0,esk2_2(esk10_0,esk9_0))|~function(esk10_0)|~relation(esk10_0)),inference(spm,[status(thm)],[235,98,theory(equality)])).
% cnf(2957,negated_conjecture,(esk10_0=esk9_0|apply(esk10_0,esk2_2(esk10_0,esk9_0))!=apply(esk9_0,esk2_2(esk10_0,esk9_0))|$false|~relation(esk10_0)),inference(rw,[status(thm)],[2949,101,theory(equality)])).
% cnf(2958,negated_conjecture,(esk10_0=esk9_0|apply(esk10_0,esk2_2(esk10_0,esk9_0))!=apply(esk9_0,esk2_2(esk10_0,esk9_0))|$false|$false),inference(rw,[status(thm)],[2957,102,theory(equality)])).
% cnf(2959,negated_conjecture,(esk10_0=esk9_0|apply(esk10_0,esk2_2(esk10_0,esk9_0))!=apply(esk9_0,esk2_2(esk10_0,esk9_0))),inference(cn,[status(thm)],[2958,theory(equality)])).
% cnf(2960,negated_conjecture,(apply(esk9_0,esk2_2(esk10_0,esk9_0))!=apply(esk10_0,esk2_2(esk10_0,esk9_0))),inference(sr,[status(thm)],[2959,96,theory(equality)])).
% cnf(3505,negated_conjecture,(esk10_0=esk9_0|in(esk2_2(esk10_0,esk9_0),esk7_0)|~function(esk9_0)|~relation(esk9_0)),inference(spm,[status(thm)],[273,99,theory(equality)])).
% cnf(3513,negated_conjecture,(esk10_0=esk9_0|in(esk2_2(esk10_0,esk9_0),esk7_0)|$false|~relation(esk9_0)),inference(rw,[status(thm)],[3505,103,theory(equality)])).
% cnf(3514,negated_conjecture,(esk10_0=esk9_0|in(esk2_2(esk10_0,esk9_0),esk7_0)|$false|$false),inference(rw,[status(thm)],[3513,104,theory(equality)])).
% cnf(3515,negated_conjecture,(esk10_0=esk9_0|in(esk2_2(esk10_0,esk9_0),esk7_0)),inference(cn,[status(thm)],[3514,theory(equality)])).
% cnf(3516,negated_conjecture,(in(esk2_2(esk10_0,esk9_0),esk7_0)),inference(sr,[status(thm)],[3515,96,theory(equality)])).
% cnf(3522,negated_conjecture,(apply(esk8_0,esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))=esk2_2(esk10_0,esk9_0)),inference(spm,[status(thm)],[1414,3516,theory(equality)])).
% cnf(3523,negated_conjecture,(in(esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)),relation_dom(esk8_0))),inference(spm,[status(thm)],[1422,3516,theory(equality)])).
% cnf(3651,negated_conjecture,(apply(X1,apply(esk8_0,esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0))))=apply(relation_composition(esk8_0,X1),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))|~function(X1)|~function(esk8_0)|~relation(X1)|~relation(esk8_0)),inference(spm,[status(thm)],[39,3523,theory(equality)])).
% cnf(3676,negated_conjecture,(apply(X1,esk2_2(esk10_0,esk9_0))=apply(relation_composition(esk8_0,X1),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))|~function(X1)|~function(esk8_0)|~relation(X1)|~relation(esk8_0)),inference(rw,[status(thm)],[3651,3522,theory(equality)])).
% cnf(3677,negated_conjecture,(apply(X1,esk2_2(esk10_0,esk9_0))=apply(relation_composition(esk8_0,X1),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))|~function(X1)|$false|~relation(X1)|~relation(esk8_0)),inference(rw,[status(thm)],[3676,105,theory(equality)])).
% cnf(3678,negated_conjecture,(apply(X1,esk2_2(esk10_0,esk9_0))=apply(relation_composition(esk8_0,X1),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[3677,106,theory(equality)])).
% cnf(3679,negated_conjecture,(apply(X1,esk2_2(esk10_0,esk9_0))=apply(relation_composition(esk8_0,X1),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[3678,theory(equality)])).
% cnf(4424,negated_conjecture,(apply(relation_composition(esk8_0,esk10_0),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))=apply(esk9_0,esk2_2(esk10_0,esk9_0))|~function(esk9_0)|~relation(esk9_0)),inference(spm,[status(thm)],[3679,97,theory(equality)])).
% cnf(4433,negated_conjecture,(apply(relation_composition(esk8_0,esk10_0),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))=apply(esk9_0,esk2_2(esk10_0,esk9_0))|$false|~relation(esk9_0)),inference(rw,[status(thm)],[4424,103,theory(equality)])).
% cnf(4434,negated_conjecture,(apply(relation_composition(esk8_0,esk10_0),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))=apply(esk9_0,esk2_2(esk10_0,esk9_0))|$false|$false),inference(rw,[status(thm)],[4433,104,theory(equality)])).
% cnf(4435,negated_conjecture,(apply(relation_composition(esk8_0,esk10_0),esk3_3(esk8_0,esk7_0,esk2_2(esk10_0,esk9_0)))=apply(esk9_0,esk2_2(esk10_0,esk9_0))),inference(cn,[status(thm)],[4434,theory(equality)])).
% cnf(4445,negated_conjecture,(apply(esk9_0,esk2_2(esk10_0,esk9_0))=apply(esk10_0,esk2_2(esk10_0,esk9_0))|~function(esk10_0)|~relation(esk10_0)),inference(spm,[status(thm)],[3679,4435,theory(equality)])).
% cnf(4481,negated_conjecture,(apply(esk9_0,esk2_2(esk10_0,esk9_0))=apply(esk10_0,esk2_2(esk10_0,esk9_0))|$false|~relation(esk10_0)),inference(rw,[status(thm)],[4445,101,theory(equality)])).
% cnf(4482,negated_conjecture,(apply(esk9_0,esk2_2(esk10_0,esk9_0))=apply(esk10_0,esk2_2(esk10_0,esk9_0))|$false|$false),inference(rw,[status(thm)],[4481,102,theory(equality)])).
% cnf(4483,negated_conjecture,(apply(esk9_0,esk2_2(esk10_0,esk9_0))=apply(esk10_0,esk2_2(esk10_0,esk9_0))),inference(cn,[status(thm)],[4482,theory(equality)])).
% cnf(4484,negated_conjecture,($false),inference(sr,[status(thm)],[4483,2960,theory(equality)])).
% cnf(4485,negated_conjecture,($false),4484,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 909
% # ...of these trivial                : 2
% # ...subsumed                        : 541
% # ...remaining for further processing: 366
% # Other redundant clauses eliminated : 45
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 13
% # Backward-rewritten                 : 0
% # Generated clauses                  : 3088
% # ...of the previous two non-trivial : 2948
% # Contextual simplify-reflections    : 761
% # Paramodulations                    : 3015
% # Factorizations                     : 2
% # Equation resolutions               : 71
% # Current number of processed clauses: 353
% #    Positive orientable unit clauses: 22
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 5
% #    Non-unit-clauses                : 326
% # Current number of unprocessed clauses: 2028
% # ...number of literals in the above : 12405
% # Clause-clause subsumption calls (NU) : 15652
% # Rec. Clause-clause subsumption calls : 8309
% # Unit Clause-clause subsumption calls : 2
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 14
% # Indexed BW rewrite successes       : 0
% # Backwards rewriting index:   257 leaves,   1.61+/-1.736 terms/leaf
% # Paramod-from index:           51 leaves,   1.49+/-1.304 terms/leaf
% # Paramod-into index:          128 leaves,   1.43+/-1.137 terms/leaf
% # -------------------------------------------------
% # User time              : 0.189 s
% # System time            : 0.015 s
% # Total time             : 0.204 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.35 CPU 0.42 WC
% FINAL PrfWatch: 0.35 CPU 0.42 WC
% SZS output end Solution for /tmp/SystemOnTPTP7462/SEU075+1.tptp
% 
%------------------------------------------------------------------------------