TSTP Solution File: SEU002+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU002+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 : art02.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 00:32:47 EST 2010
% Result : Theorem 116.79s
% Output : Solution 117.67s
% 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/SystemOnTPTP10146/SEU002+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~t25_funct_1:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... antisymmetry_r2_hidden:
% CSA axiom antisymmetry_r2_hidden 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
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ... yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... rc1_funct_1:
% fc6_relat_1:
% CSA axiom fc6_relat_1 found
% Looking for CSA axiom ... fc8_relat_1:
% CSA axiom fc8_relat_1 found
% Looking for CSA axiom ... fc10_relat_1:
% CSA axiom fc10_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:
% fc9_relat_1:
% CSA axiom fc9_relat_1 found
% Looking for CSA axiom ... cc1_funct_1:
% CSA axiom cc1_funct_1 found
% Looking for CSA axiom ... t7_boole:
% CSA axiom t7_boole found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ... not found
% Looking for CSA axiom ... rc1_funct_1:
% t21_funct_1:
% CSA axiom t21_funct_1 found
% Looking for CSA axiom ... cc1_relat_1:
% CSA axiom cc1_relat_1 found
% Looking for CSA axiom ... rc1_relat_1:
% CSA axiom rc1_relat_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:
% rc2_relat_1:
% d5_funct_1:
% CSA axiom d5_funct_1 found
% Looking for CSA axiom ... t22_funct_1:
% CSA axiom t22_funct_1 found
% Looking for CSA axiom ... existence_m1_subset_1: CSA axiom existence_m1_subset_1 found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :existence_m1_subset_1:t22_funct_1:d5_funct_1:rc1_relat_1:cc1_relat_1:t21_funct_1:t7_boole:cc1_funct_1:fc9_relat_1:fc10_relat_1:fc8_relat_1:fc6_relat_1:fc1_funct_1:dt_k5_relat_1:antisymmetry_r2_hidden (15)
% Unselected axioms are ... :rc1_funct_1:rc2_relat_1:rc1_xboole_0:rc2_xboole_0:t1_subset:fc5_relat_1:fc7_relat_1:t2_subset:t8_boole:rc3_relat_1:fc1_xboole_0:t4_subset:rc1_subset_1:rc2_subset_1:t5_subset:fc4_relat_1:reflexivity_r1_tarski:fc1_subset_1:fc12_relat_1:t3_subset:t6_boole (21)
% SZS status THM for /tmp/SystemOnTPTP10146/SEU002+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP10146/SEU002+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 13560
% 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(2, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(relation_composition(X3,X2)))=>apply(relation_composition(X3,X2),X1)=apply(X2,apply(X3,X1))))),file('/tmp/SRASS.s.p', t22_funct_1)).
% fof(3, 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(6, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(relation_composition(X3,X2)))<=>(in(X1,relation_dom(X3))&in(apply(X3,X1),relation_dom(X2)))))),file('/tmp/SRASS.s.p', t21_funct_1)).
% fof(13, axiom,![X1]:![X2]:((((relation(X1)&function(X1))&relation(X2))&function(X2))=>(relation(relation_composition(X1,X2))&function(relation_composition(X1,X2)))),file('/tmp/SRASS.s.p', fc1_funct_1)).
% fof(14, axiom,![X1]:![X2]:((relation(X1)&relation(X2))=>relation(relation_composition(X1,X2))),file('/tmp/SRASS.s.p', dt_k5_relat_1)).
% fof(16, conjecture,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_rng(relation_composition(X3,X2)))=>in(X1,relation_rng(X2))))),file('/tmp/SRASS.s.p', t25_funct_1)).
% fof(17, negated_conjecture,~(![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_rng(relation_composition(X3,X2)))=>in(X1,relation_rng(X2)))))),inference(assume_negation,[status(cth)],[16])).
% fof(23, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|(~(in(X1,relation_dom(relation_composition(X3,X2))))|apply(relation_composition(X3,X2),X1)=apply(X2,apply(X3,X1))))),inference(fof_nnf,[status(thm)],[2])).
% fof(24, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(relation_composition(X6,X5))))|apply(relation_composition(X6,X5),X4)=apply(X5,apply(X6,X4))))),inference(variable_rename,[status(thm)],[23])).
% fof(25, plain,![X4]:![X5]:![X6]:(((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(relation_composition(X6,X5))))|apply(relation_composition(X6,X5),X4)=apply(X5,apply(X6,X4))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[24])).
% cnf(26,plain,(apply(relation_composition(X2,X1),X3)=apply(X1,apply(X2,X3))|~function(X1)|~relation(X1)|~in(X3,relation_dom(relation_composition(X2,X1)))|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[25])).
% fof(27, 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)],[3])).
% fof(28, 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)],[27])).
% fof(29, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(X6=relation_rng(X5))|![X7]:((~(in(X7,X6))|(in(esk2_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk2_3(X5,X6,X7))))&(![X9]:(~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))))&(((~(in(esk3_2(X5,X6),X6))|![X11]:(~(in(X11,relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,X11))))&(in(esk3_2(X5,X6),X6)|(in(esk4_2(X5,X6),relation_dom(X5))&esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))))|X6=relation_rng(X5)))),inference(skolemize,[status(esa)],[28])).
% fof(30, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,X11)))|~(in(esk3_2(X5,X6),X6)))&(in(esk3_2(X5,X6),X6)|(in(esk4_2(X5,X6),relation_dom(X5))&esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))))|X6=relation_rng(X5))&((((~(in(X9,relation_dom(X5)))|~(X7=apply(X5,X9)))|in(X7,X6))&(~(in(X7,X6))|(in(esk2_3(X5,X6,X7),relation_dom(X5))&X7=apply(X5,esk2_3(X5,X6,X7)))))|~(X6=relation_rng(X5))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[29])).
% fof(31, plain,![X5]:![X6]:![X7]:![X9]:![X11]:((((((~(in(X11,relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,X11)))|~(in(esk3_2(X5,X6),X6)))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&((((in(esk4_2(X5,X6),relation_dom(X5))|in(esk3_2(X5,X6),X6))|X6=relation_rng(X5))|(~(relation(X5))|~(function(X5))))&(((esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6))|in(esk3_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(esk2_3(X5,X6,X7),relation_dom(X5))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))&(((X7=apply(X5,esk2_3(X5,X6,X7))|~(in(X7,X6)))|~(X6=relation_rng(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[30])).
% cnf(32,plain,(X3=apply(X1,esk2_3(X1,X2,X3))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[31])).
% cnf(33,plain,(in(esk2_3(X1,X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[31])).
% cnf(34,plain,(in(X3,X2)|~function(X1)|~relation(X1)|X2!=relation_rng(X1)|X3!=apply(X1,X4)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[31])).
% fof(45, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|((~(in(X1,relation_dom(relation_composition(X3,X2))))|(in(X1,relation_dom(X3))&in(apply(X3,X1),relation_dom(X2))))&((~(in(X1,relation_dom(X3)))|~(in(apply(X3,X1),relation_dom(X2))))|in(X1,relation_dom(relation_composition(X3,X2))))))),inference(fof_nnf,[status(thm)],[6])).
% fof(46, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(relation(X6))|~(function(X6)))|((~(in(X4,relation_dom(relation_composition(X6,X5))))|(in(X4,relation_dom(X6))&in(apply(X6,X4),relation_dom(X5))))&((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))))),inference(variable_rename,[status(thm)],[45])).
% fof(47, plain,![X4]:![X5]:![X6]:(((~(relation(X6))|~(function(X6)))|((~(in(X4,relation_dom(relation_composition(X6,X5))))|(in(X4,relation_dom(X6))&in(apply(X6,X4),relation_dom(X5))))&((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[46])).
% fof(48, plain,![X4]:![X5]:![X6]:(((((in(X4,relation_dom(X6))|~(in(X4,relation_dom(relation_composition(X6,X5)))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5))))&(((in(apply(X6,X4),relation_dom(X5))|~(in(X4,relation_dom(relation_composition(X6,X5)))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5)))))&((((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5))))),inference(distribute,[status(thm)],[47])).
% cnf(50,plain,(in(apply(X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|~in(X3,relation_dom(relation_composition(X2,X1)))),inference(split_conjunct,[status(thm)],[48])).
% fof(76, plain,![X1]:![X2]:((((~(relation(X1))|~(function(X1)))|~(relation(X2)))|~(function(X2)))|(relation(relation_composition(X1,X2))&function(relation_composition(X1,X2)))),inference(fof_nnf,[status(thm)],[13])).
% fof(77, plain,![X3]:![X4]:((((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4)))|(relation(relation_composition(X3,X4))&function(relation_composition(X3,X4)))),inference(variable_rename,[status(thm)],[76])).
% fof(78, plain,![X3]:![X4]:((relation(relation_composition(X3,X4))|(((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4))))&(function(relation_composition(X3,X4))|(((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4))))),inference(distribute,[status(thm)],[77])).
% cnf(79,plain,(function(relation_composition(X2,X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[78])).
% fof(81, plain,![X1]:![X2]:((~(relation(X1))|~(relation(X2)))|relation(relation_composition(X1,X2))),inference(fof_nnf,[status(thm)],[14])).
% fof(82, plain,![X3]:![X4]:((~(relation(X3))|~(relation(X4)))|relation(relation_composition(X3,X4))),inference(variable_rename,[status(thm)],[81])).
% cnf(83,plain,(relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[82])).
% fof(87, negated_conjecture,?[X1]:?[X2]:((relation(X2)&function(X2))&?[X3]:((relation(X3)&function(X3))&(in(X1,relation_rng(relation_composition(X3,X2)))&~(in(X1,relation_rng(X2)))))),inference(fof_nnf,[status(thm)],[17])).
% fof(88, negated_conjecture,?[X4]:?[X5]:((relation(X5)&function(X5))&?[X6]:((relation(X6)&function(X6))&(in(X4,relation_rng(relation_composition(X6,X5)))&~(in(X4,relation_rng(X5)))))),inference(variable_rename,[status(thm)],[87])).
% fof(89, negated_conjecture,((relation(esk7_0)&function(esk7_0))&((relation(esk8_0)&function(esk8_0))&(in(esk6_0,relation_rng(relation_composition(esk8_0,esk7_0)))&~(in(esk6_0,relation_rng(esk7_0)))))),inference(skolemize,[status(esa)],[88])).
% cnf(90,negated_conjecture,(~in(esk6_0,relation_rng(esk7_0))),inference(split_conjunct,[status(thm)],[89])).
% cnf(91,negated_conjecture,(in(esk6_0,relation_rng(relation_composition(esk8_0,esk7_0)))),inference(split_conjunct,[status(thm)],[89])).
% cnf(92,negated_conjecture,(function(esk8_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(93,negated_conjecture,(relation(esk8_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(94,negated_conjecture,(function(esk7_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(95,negated_conjecture,(relation(esk7_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(110,plain,(apply(X1,esk2_3(X1,relation_rng(X1),X2))=X2|~in(X2,relation_rng(X1))|~function(X1)|~relation(X1)),inference(er,[status(thm)],[32,theory(equality)])).
% cnf(111,plain,(in(X1,relation_rng(X2))|apply(X2,X3)!=X1|~in(X3,relation_dom(X2))|~function(X2)|~relation(X2)),inference(er,[status(thm)],[34,theory(equality)])).
% cnf(121,plain,(in(esk2_3(X1,relation_rng(X1),X2),relation_dom(X1))|~in(X2,relation_rng(X1))|~function(X1)|~relation(X1)),inference(er,[status(thm)],[33,theory(equality)])).
% cnf(139,plain,(in(apply(X1,X2),relation_rng(X1))|~in(X2,relation_dom(X1))|~function(X1)|~relation(X1)),inference(er,[status(thm)],[111,theory(equality)])).
% cnf(144,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~function(relation_composition(esk8_0,esk7_0))|~relation(relation_composition(esk8_0,esk7_0))),inference(spm,[status(thm)],[110,91,theory(equality)])).
% cnf(147,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~relation(relation_composition(esk8_0,esk7_0))|~function(esk8_0)|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(spm,[status(thm)],[144,79,theory(equality)])).
% cnf(150,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~relation(relation_composition(esk8_0,esk7_0))|$false|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[147,92,theory(equality)])).
% cnf(151,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~relation(relation_composition(esk8_0,esk7_0))|$false|$false|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[150,94,theory(equality)])).
% cnf(152,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~relation(relation_composition(esk8_0,esk7_0))|$false|$false|$false|~relation(esk7_0)),inference(rw,[status(thm)],[151,93,theory(equality)])).
% cnf(153,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~relation(relation_composition(esk8_0,esk7_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[152,95,theory(equality)])).
% cnf(154,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~relation(relation_composition(esk8_0,esk7_0))),inference(cn,[status(thm)],[153,theory(equality)])).
% cnf(160,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|~relation(esk7_0)|~relation(esk8_0)),inference(spm,[status(thm)],[154,83,theory(equality)])).
% cnf(164,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|$false|~relation(esk8_0)),inference(rw,[status(thm)],[160,95,theory(equality)])).
% cnf(165,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0|$false|$false),inference(rw,[status(thm)],[164,93,theory(equality)])).
% cnf(166,negated_conjecture,(apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))=esk6_0),inference(cn,[status(thm)],[165,theory(equality)])).
% cnf(1002,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~function(relation_composition(esk8_0,esk7_0))|~relation(relation_composition(esk8_0,esk7_0))),inference(spm,[status(thm)],[121,91,theory(equality)])).
% cnf(6077,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~relation(relation_composition(esk8_0,esk7_0))|~function(esk8_0)|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(spm,[status(thm)],[1002,79,theory(equality)])).
% cnf(6104,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~relation(relation_composition(esk8_0,esk7_0))|$false|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[6077,92,theory(equality)])).
% cnf(6105,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~relation(relation_composition(esk8_0,esk7_0))|$false|$false|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[6104,94,theory(equality)])).
% cnf(6106,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~relation(relation_composition(esk8_0,esk7_0))|$false|$false|$false|~relation(esk7_0)),inference(rw,[status(thm)],[6105,93,theory(equality)])).
% cnf(6107,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~relation(relation_composition(esk8_0,esk7_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[6106,95,theory(equality)])).
% cnf(6108,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~relation(relation_composition(esk8_0,esk7_0))),inference(cn,[status(thm)],[6107,theory(equality)])).
% cnf(6332,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|~relation(esk7_0)|~relation(esk8_0)),inference(spm,[status(thm)],[6108,83,theory(equality)])).
% cnf(6358,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|$false|~relation(esk8_0)),inference(rw,[status(thm)],[6332,95,theory(equality)])).
% cnf(6359,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))|$false|$false),inference(rw,[status(thm)],[6358,93,theory(equality)])).
% cnf(6360,negated_conjecture,(in(esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0),relation_dom(relation_composition(esk8_0,esk7_0)))),inference(cn,[status(thm)],[6359,theory(equality)])).
% cnf(6373,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)))=apply(relation_composition(esk8_0,esk7_0),esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))|~function(esk8_0)|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(spm,[status(thm)],[26,6360,theory(equality)])).
% cnf(6375,negated_conjecture,(in(apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)),relation_dom(esk7_0))|~function(esk8_0)|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(spm,[status(thm)],[50,6360,theory(equality)])).
% cnf(6452,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)))=esk6_0|~function(esk8_0)|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[6373,166,theory(equality)])).
% cnf(6453,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)))=esk6_0|$false|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[6452,92,theory(equality)])).
% cnf(6454,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)))=esk6_0|$false|$false|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[6453,94,theory(equality)])).
% cnf(6455,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)))=esk6_0|$false|$false|$false|~relation(esk7_0)),inference(rw,[status(thm)],[6454,93,theory(equality)])).
% cnf(6456,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)))=esk6_0|$false|$false|$false|$false),inference(rw,[status(thm)],[6455,95,theory(equality)])).
% cnf(6457,negated_conjecture,(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)))=esk6_0),inference(cn,[status(thm)],[6456,theory(equality)])).
% cnf(6463,negated_conjecture,(in(apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)),relation_dom(esk7_0))|$false|~function(esk7_0)|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[6375,92,theory(equality)])).
% cnf(6464,negated_conjecture,(in(apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)),relation_dom(esk7_0))|$false|$false|~relation(esk8_0)|~relation(esk7_0)),inference(rw,[status(thm)],[6463,94,theory(equality)])).
% cnf(6465,negated_conjecture,(in(apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)),relation_dom(esk7_0))|$false|$false|$false|~relation(esk7_0)),inference(rw,[status(thm)],[6464,93,theory(equality)])).
% cnf(6466,negated_conjecture,(in(apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)),relation_dom(esk7_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[6465,95,theory(equality)])).
% cnf(6467,negated_conjecture,(in(apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0)),relation_dom(esk7_0))),inference(cn,[status(thm)],[6466,theory(equality)])).
% cnf(7979,negated_conjecture,(in(apply(esk7_0,apply(esk8_0,esk2_3(relation_composition(esk8_0,esk7_0),relation_rng(relation_composition(esk8_0,esk7_0)),esk6_0))),relation_rng(esk7_0))|~function(esk7_0)|~relation(esk7_0)),inference(spm,[status(thm)],[139,6467,theory(equality)])).
% cnf(8049,negated_conjecture,(in(esk6_0,relation_rng(esk7_0))|~function(esk7_0)|~relation(esk7_0)),inference(rw,[status(thm)],[7979,6457,theory(equality)])).
% cnf(8050,negated_conjecture,(in(esk6_0,relation_rng(esk7_0))|$false|~relation(esk7_0)),inference(rw,[status(thm)],[8049,94,theory(equality)])).
% cnf(8051,negated_conjecture,(in(esk6_0,relation_rng(esk7_0))|$false|$false),inference(rw,[status(thm)],[8050,95,theory(equality)])).
% cnf(8052,negated_conjecture,(in(esk6_0,relation_rng(esk7_0))),inference(cn,[status(thm)],[8051,theory(equality)])).
% cnf(8053,negated_conjecture,($false),inference(sr,[status(thm)],[8052,90,theory(equality)])).
% cnf(8054,negated_conjecture,($false),8053,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1113
% # ...of these trivial : 0
% # ...subsumed : 915
% # ...remaining for further processing: 198
% # Other redundant clauses eliminated : 33
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 24
% # Backward-rewritten : 2
% # Generated clauses : 5483
% # ...of the previous two non-trivial : 5328
% # Contextual simplify-reflections : 1635
% # Paramodulations : 5434
% # Factorizations : 2
% # Equation resolutions : 47
% # Current number of processed clauses: 172
% # Positive orientable unit clauses: 14
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 10
% # Non-unit-clauses : 148
% # Current number of unprocessed clauses: 3934
% # ...number of literals in the above : 40098
% # Clause-clause subsumption calls (NU) : 16939
% # Rec. Clause-clause subsumption calls : 10148
% # Unit Clause-clause subsumption calls : 29
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 144 leaves, 1.83+/-1.474 terms/leaf
% # Paramod-from index: 47 leaves, 1.47+/-0.795 terms/leaf
% # Paramod-into index: 114 leaves, 1.70+/-1.184 terms/leaf
% # -------------------------------------------------
% # User time : 0.353 s
% # System time : 0.009 s
% # Total time : 0.362 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.57 CPU 0.65 WC
% FINAL PrfWatch: 0.57 CPU 0.65 WC
% SZS output end Solution for /tmp/SystemOnTPTP10146/SEU002+1.tptp
%
%------------------------------------------------------------------------------