TSTP Solution File: SET720+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET720+4 : TPTP v5.0.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.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 : Wed Dec 29 23:39:28 EST 2010
% Result : Theorem 132.64s
% Output : Solution 137.01s
% 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/SystemOnTPTP7384/SET720+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~thII11:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... inverse_function:
% CSA axiom inverse_function found
% Looking for CSA axiom ... isomorphism:
% CSA axiom isomorphism found
% Looking for CSA axiom ... equal_maps:
% CSA axiom equal_maps found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... maps:
% CSA axiom maps found
% Looking for CSA axiom ... one_to_one:
% CSA axiom one_to_one found
% Looking for CSA axiom ... injective:
% CSA axiom injective found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :injective:one_to_one:maps:equal_maps:isomorphism:inverse_function (6)
% Unselected axioms are ... :singleton:unordered_pair:power_set:compose_predicate:compose_function:identity:surjective:inverse_predicate:image2:image3:inverse_image2:inverse_image3:increasing_function:decreasing_function:equal_set:subset:intersection:union:empty_set:difference:sum:product (22)
% SZS status THM for /tmp/SystemOnTPTP7384/SET720+4.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP7384/SET720+4.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 8756
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.03 WC
% PrfWatch: 1.92 CPU 2.04 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.90 CPU 4.05 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:![X3]:(maps(X1,X2,X3)<=>(![X7]:(member(X7,X2)=>?[X6]:(member(X6,X3)&apply(X1,X7,X6)))&![X7]:![X8]:![X9]:(((member(X7,X2)&member(X8,X3))&member(X9,X3))=>((apply(X1,X7,X8)&apply(X1,X7,X9))=>X8=X9)))),file('/tmp/SRASS.s.p', maps)).
% fof(4, axiom,![X1]:![X10]:![X2]:![X3]:(equal_maps(X1,X10,X2,X3)<=>![X7]:![X8]:![X9]:(((member(X7,X2)&member(X8,X3))&member(X9,X3))=>((apply(X1,X7,X8)&apply(X10,X7,X9))=>X8=X9))),file('/tmp/SRASS.s.p', equal_maps)).
% fof(6, axiom,![X1]:![X2]:![X3]:![X7]:![X6]:((member(X7,X2)&member(X6,X3))=>(apply(X1,X7,X6)<=>apply(inverse_function(X1,X2,X3),X6,X7))),file('/tmp/SRASS.s.p', inverse_function)).
% fof(7, conjecture,![X1]:![X2]:![X3]:((maps(X1,X2,X3)&one_to_one(X1,X2,X3))=>equal_maps(inverse_function(inverse_function(X1,X2,X3),X3,X2),X1,X2,X3)),file('/tmp/SRASS.s.p', thII11)).
% fof(8, negated_conjecture,~(![X1]:![X2]:![X3]:((maps(X1,X2,X3)&one_to_one(X1,X2,X3))=>equal_maps(inverse_function(inverse_function(X1,X2,X3),X3,X2),X1,X2,X3))),inference(assume_negation,[status(cth)],[7])).
% fof(27, plain,![X1]:![X2]:![X3]:((~(maps(X1,X2,X3))|(![X7]:(~(member(X7,X2))|?[X6]:(member(X6,X3)&apply(X1,X7,X6)))&![X7]:![X8]:![X9]:(((~(member(X7,X2))|~(member(X8,X3)))|~(member(X9,X3)))|((~(apply(X1,X7,X8))|~(apply(X1,X7,X9)))|X8=X9))))&((?[X7]:(member(X7,X2)&![X6]:(~(member(X6,X3))|~(apply(X1,X7,X6))))|?[X7]:?[X8]:?[X9]:(((member(X7,X2)&member(X8,X3))&member(X9,X3))&((apply(X1,X7,X8)&apply(X1,X7,X9))&~(X8=X9))))|maps(X1,X2,X3))),inference(fof_nnf,[status(thm)],[3])).
% fof(28, plain,![X10]:![X11]:![X12]:((~(maps(X10,X11,X12))|(![X13]:(~(member(X13,X11))|?[X14]:(member(X14,X12)&apply(X10,X13,X14)))&![X15]:![X16]:![X17]:(((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))))&((?[X18]:(member(X18,X11)&![X19]:(~(member(X19,X12))|~(apply(X10,X18,X19))))|?[X20]:?[X21]:?[X22]:(((member(X20,X11)&member(X21,X12))&member(X22,X12))&((apply(X10,X20,X21)&apply(X10,X20,X22))&~(X21=X22))))|maps(X10,X11,X12))),inference(variable_rename,[status(thm)],[27])).
% fof(29, plain,![X10]:![X11]:![X12]:((~(maps(X10,X11,X12))|(![X13]:(~(member(X13,X11))|(member(esk4_4(X10,X11,X12,X13),X12)&apply(X10,X13,esk4_4(X10,X11,X12,X13))))&![X15]:![X16]:![X17]:(((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))))&(((member(esk5_3(X10,X11,X12),X11)&![X19]:(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|(((member(esk6_3(X10,X11,X12),X11)&member(esk7_3(X10,X11,X12),X12))&member(esk8_3(X10,X11,X12),X12))&((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))&apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12)))&~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12)))))|maps(X10,X11,X12))),inference(skolemize,[status(esa)],[28])).
% fof(30, plain,![X10]:![X11]:![X12]:![X13]:![X15]:![X16]:![X17]:![X19]:(((((~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19)))&member(esk5_3(X10,X11,X12),X11))|(((member(esk6_3(X10,X11,X12),X11)&member(esk7_3(X10,X11,X12),X12))&member(esk8_3(X10,X11,X12),X12))&((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))&apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12)))&~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12)))))|maps(X10,X11,X12))&(((((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))&(~(member(X13,X11))|(member(esk4_4(X10,X11,X12,X13),X12)&apply(X10,X13,esk4_4(X10,X11,X12,X13)))))|~(maps(X10,X11,X12)))),inference(shift_quantors,[status(thm)],[29])).
% fof(31, plain,![X10]:![X11]:![X12]:![X13]:![X15]:![X16]:![X17]:![X19]:(((((((member(esk6_3(X10,X11,X12),X11)|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12))&((member(esk7_3(X10,X11,X12),X12)|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12)))&((member(esk8_3(X10,X11,X12),X12)|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12)))&((((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12))&((apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12))|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12)))&((~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12))|(~(member(X19,X12))|~(apply(X10,esk5_3(X10,X11,X12),X19))))|maps(X10,X11,X12))))&(((((member(esk6_3(X10,X11,X12),X11)|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12))&((member(esk7_3(X10,X11,X12),X12)|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))&((member(esk8_3(X10,X11,X12),X12)|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))&((((apply(X10,esk6_3(X10,X11,X12),esk7_3(X10,X11,X12))|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12))&((apply(X10,esk6_3(X10,X11,X12),esk8_3(X10,X11,X12))|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))&((~(esk7_3(X10,X11,X12)=esk8_3(X10,X11,X12))|member(esk5_3(X10,X11,X12),X11))|maps(X10,X11,X12)))))&(((((~(member(X15,X11))|~(member(X16,X12)))|~(member(X17,X12)))|((~(apply(X10,X15,X16))|~(apply(X10,X15,X17)))|X16=X17))|~(maps(X10,X11,X12)))&(((member(esk4_4(X10,X11,X12,X13),X12)|~(member(X13,X11)))|~(maps(X10,X11,X12)))&((apply(X10,X13,esk4_4(X10,X11,X12,X13))|~(member(X13,X11)))|~(maps(X10,X11,X12)))))),inference(distribute,[status(thm)],[30])).
% cnf(34,plain,(X4=X5|~maps(X1,X2,X3)|~apply(X1,X6,X5)|~apply(X1,X6,X4)|~member(X5,X3)|~member(X4,X3)|~member(X6,X2)),inference(split_conjunct,[status(thm)],[31])).
% fof(47, plain,![X1]:![X10]:![X2]:![X3]:((~(equal_maps(X1,X10,X2,X3))|![X7]:![X8]:![X9]:(((~(member(X7,X2))|~(member(X8,X3)))|~(member(X9,X3)))|((~(apply(X1,X7,X8))|~(apply(X10,X7,X9)))|X8=X9)))&(?[X7]:?[X8]:?[X9]:(((member(X7,X2)&member(X8,X3))&member(X9,X3))&((apply(X1,X7,X8)&apply(X10,X7,X9))&~(X8=X9)))|equal_maps(X1,X10,X2,X3))),inference(fof_nnf,[status(thm)],[4])).
% fof(48, plain,![X11]:![X12]:![X13]:![X14]:((~(equal_maps(X11,X12,X13,X14))|![X15]:![X16]:![X17]:(((~(member(X15,X13))|~(member(X16,X14)))|~(member(X17,X14)))|((~(apply(X11,X15,X16))|~(apply(X12,X15,X17)))|X16=X17)))&(?[X18]:?[X19]:?[X20]:(((member(X18,X13)&member(X19,X14))&member(X20,X14))&((apply(X11,X18,X19)&apply(X12,X18,X20))&~(X19=X20)))|equal_maps(X11,X12,X13,X14))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X11]:![X12]:![X13]:![X14]:((~(equal_maps(X11,X12,X13,X14))|![X15]:![X16]:![X17]:(((~(member(X15,X13))|~(member(X16,X14)))|~(member(X17,X14)))|((~(apply(X11,X15,X16))|~(apply(X12,X15,X17)))|X16=X17)))&((((member(esk9_4(X11,X12,X13,X14),X13)&member(esk10_4(X11,X12,X13,X14),X14))&member(esk11_4(X11,X12,X13,X14),X14))&((apply(X11,esk9_4(X11,X12,X13,X14),esk10_4(X11,X12,X13,X14))&apply(X12,esk9_4(X11,X12,X13,X14),esk11_4(X11,X12,X13,X14)))&~(esk10_4(X11,X12,X13,X14)=esk11_4(X11,X12,X13,X14))))|equal_maps(X11,X12,X13,X14))),inference(skolemize,[status(esa)],[48])).
% fof(50, plain,![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:(((((~(member(X15,X13))|~(member(X16,X14)))|~(member(X17,X14)))|((~(apply(X11,X15,X16))|~(apply(X12,X15,X17)))|X16=X17))|~(equal_maps(X11,X12,X13,X14)))&((((member(esk9_4(X11,X12,X13,X14),X13)&member(esk10_4(X11,X12,X13,X14),X14))&member(esk11_4(X11,X12,X13,X14),X14))&((apply(X11,esk9_4(X11,X12,X13,X14),esk10_4(X11,X12,X13,X14))&apply(X12,esk9_4(X11,X12,X13,X14),esk11_4(X11,X12,X13,X14)))&~(esk10_4(X11,X12,X13,X14)=esk11_4(X11,X12,X13,X14))))|equal_maps(X11,X12,X13,X14))),inference(shift_quantors,[status(thm)],[49])).
% fof(51, plain,![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:(((((~(member(X15,X13))|~(member(X16,X14)))|~(member(X17,X14)))|((~(apply(X11,X15,X16))|~(apply(X12,X15,X17)))|X16=X17))|~(equal_maps(X11,X12,X13,X14)))&((((member(esk9_4(X11,X12,X13,X14),X13)|equal_maps(X11,X12,X13,X14))&(member(esk10_4(X11,X12,X13,X14),X14)|equal_maps(X11,X12,X13,X14)))&(member(esk11_4(X11,X12,X13,X14),X14)|equal_maps(X11,X12,X13,X14)))&(((apply(X11,esk9_4(X11,X12,X13,X14),esk10_4(X11,X12,X13,X14))|equal_maps(X11,X12,X13,X14))&(apply(X12,esk9_4(X11,X12,X13,X14),esk11_4(X11,X12,X13,X14))|equal_maps(X11,X12,X13,X14)))&(~(esk10_4(X11,X12,X13,X14)=esk11_4(X11,X12,X13,X14))|equal_maps(X11,X12,X13,X14))))),inference(distribute,[status(thm)],[50])).
% cnf(52,plain,(equal_maps(X1,X2,X3,X4)|esk10_4(X1,X2,X3,X4)!=esk11_4(X1,X2,X3,X4)),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,plain,(equal_maps(X1,X2,X3,X4)|apply(X2,esk9_4(X1,X2,X3,X4),esk11_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[51])).
% cnf(54,plain,(equal_maps(X1,X2,X3,X4)|apply(X1,esk9_4(X1,X2,X3,X4),esk10_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[51])).
% cnf(55,plain,(equal_maps(X1,X2,X3,X4)|member(esk11_4(X1,X2,X3,X4),X4)),inference(split_conjunct,[status(thm)],[51])).
% cnf(56,plain,(equal_maps(X1,X2,X3,X4)|member(esk10_4(X1,X2,X3,X4),X4)),inference(split_conjunct,[status(thm)],[51])).
% cnf(57,plain,(equal_maps(X1,X2,X3,X4)|member(esk9_4(X1,X2,X3,X4),X3)),inference(split_conjunct,[status(thm)],[51])).
% cnf(58,plain,(X5=X6|~equal_maps(X1,X2,X3,X4)|~apply(X2,X7,X6)|~apply(X1,X7,X5)|~member(X6,X4)|~member(X5,X4)|~member(X7,X3)),inference(split_conjunct,[status(thm)],[51])).
% fof(76, plain,![X1]:![X2]:![X3]:![X7]:![X6]:((~(member(X7,X2))|~(member(X6,X3)))|((~(apply(X1,X7,X6))|apply(inverse_function(X1,X2,X3),X6,X7))&(~(apply(inverse_function(X1,X2,X3),X6,X7))|apply(X1,X7,X6)))),inference(fof_nnf,[status(thm)],[6])).
% fof(77, plain,![X8]:![X9]:![X10]:![X11]:![X12]:((~(member(X11,X9))|~(member(X12,X10)))|((~(apply(X8,X11,X12))|apply(inverse_function(X8,X9,X10),X12,X11))&(~(apply(inverse_function(X8,X9,X10),X12,X11))|apply(X8,X11,X12)))),inference(variable_rename,[status(thm)],[76])).
% fof(78, plain,![X8]:![X9]:![X10]:![X11]:![X12]:(((~(apply(X8,X11,X12))|apply(inverse_function(X8,X9,X10),X12,X11))|(~(member(X11,X9))|~(member(X12,X10))))&((~(apply(inverse_function(X8,X9,X10),X12,X11))|apply(X8,X11,X12))|(~(member(X11,X9))|~(member(X12,X10))))),inference(distribute,[status(thm)],[77])).
% cnf(79,plain,(apply(X5,X3,X1)|~member(X1,X2)|~member(X3,X4)|~apply(inverse_function(X5,X4,X2),X1,X3)),inference(split_conjunct,[status(thm)],[78])).
% fof(81, negated_conjecture,?[X1]:?[X2]:?[X3]:((maps(X1,X2,X3)&one_to_one(X1,X2,X3))&~(equal_maps(inverse_function(inverse_function(X1,X2,X3),X3,X2),X1,X2,X3))),inference(fof_nnf,[status(thm)],[8])).
% fof(82, negated_conjecture,?[X4]:?[X5]:?[X6]:((maps(X4,X5,X6)&one_to_one(X4,X5,X6))&~(equal_maps(inverse_function(inverse_function(X4,X5,X6),X6,X5),X4,X5,X6))),inference(variable_rename,[status(thm)],[81])).
% fof(83, negated_conjecture,((maps(esk16_0,esk17_0,esk18_0)&one_to_one(esk16_0,esk17_0,esk18_0))&~(equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,esk17_0,esk18_0))),inference(skolemize,[status(esa)],[82])).
% cnf(84,negated_conjecture,(~equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,esk17_0,esk18_0)),inference(split_conjunct,[status(thm)],[83])).
% cnf(86,negated_conjecture,(maps(esk16_0,esk17_0,esk18_0)),inference(split_conjunct,[status(thm)],[83])).
% cnf(91,plain,(apply(X1,esk11_4(X2,inverse_function(X1,X3,X4),X5,X6),esk9_4(X2,inverse_function(X1,X3,X4),X5,X6))|equal_maps(X2,inverse_function(X1,X3,X4),X5,X6)|~member(esk11_4(X2,inverse_function(X1,X3,X4),X5,X6),X3)|~member(esk9_4(X2,inverse_function(X1,X3,X4),X5,X6),X4)),inference(spm,[status(thm)],[79,53,theory(equality)])).
% cnf(112,negated_conjecture,(X1=X2|~apply(esk16_0,X3,X2)|~apply(esk16_0,X3,X1)|~member(X3,esk17_0)|~member(X2,esk18_0)|~member(X1,esk18_0)),inference(spm,[status(thm)],[34,86,theory(equality)])).
% cnf(129,negated_conjecture,(X1=esk10_4(esk16_0,X2,X3,X4)|equal_maps(esk16_0,X2,X3,X4)|~apply(esk16_0,esk9_4(esk16_0,X2,X3,X4),X1)|~member(esk9_4(esk16_0,X2,X3,X4),esk17_0)|~member(esk10_4(esk16_0,X2,X3,X4),esk18_0)|~member(X1,esk18_0)),inference(spm,[status(thm)],[112,54,theory(equality)])).
% cnf(182,plain,(apply(X1,esk9_4(X2,inverse_function(inverse_function(X1,X3,X4),X5,X6),X7,X8),esk11_4(X2,inverse_function(inverse_function(X1,X3,X4),X5,X6),X7,X8))|equal_maps(X2,inverse_function(inverse_function(X1,X3,X4),X5,X6),X7,X8)|~member(esk9_4(X2,inverse_function(inverse_function(X1,X3,X4),X5,X6),X7,X8),X3)|~member(esk11_4(X2,inverse_function(inverse_function(X1,X3,X4),X5,X6),X7,X8),X4)|~member(esk11_4(X2,inverse_function(inverse_function(X1,X3,X4),X5,X6),X7,X8),X5)|~member(esk9_4(X2,inverse_function(inverse_function(X1,X3,X4),X5,X6),X7,X8),X6)),inference(spm,[status(thm)],[79,91,theory(equality)])).
% cnf(1229,negated_conjecture,(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6)=esk10_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6)|equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),esk17_0)|~member(esk10_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),esk18_0)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X1)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X2)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X3)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X4)),inference(spm,[status(thm)],[129,182,theory(equality)])).
% cnf(16701,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),esk17_0)|~member(esk10_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),esk18_0)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X1)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X2)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X3)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,X6),X4)),inference(csr,[status(thm)],[1229,52])).
% cnf(16702,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),esk17_0)|~member(esk10_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X1)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X2)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X3)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X4)),inference(spm,[status(thm)],[16701,55,theory(equality)])).
% cnf(16703,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),esk17_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X1)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X2)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X3)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X5,esk18_0),X4)),inference(csr,[status(thm)],[16702,56])).
% cnf(16704,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X1,esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X1,esk18_0),esk17_0)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X1,esk18_0),X2)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X1,esk18_0),X3)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,X2),X3,X4),X1,esk18_0),X4)),inference(spm,[status(thm)],[16703,57,theory(equality)])).
% cnf(16705,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,X1,esk18_0),X2,X3),X1,esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,esk18_0),X2,X3),X1,esk18_0),esk17_0)|~member(esk11_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,esk18_0),X2,X3),X1,esk18_0),X2)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,esk18_0),X2,X3),X1,esk18_0),X3)),inference(spm,[status(thm)],[16704,55,theory(equality)])).
% cnf(16706,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,X1,esk18_0),esk18_0,X2),X1,esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,esk18_0),esk18_0,X2),X1,esk18_0),esk17_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,X1,esk18_0),esk18_0,X2),X1,esk18_0),X2)),inference(spm,[status(thm)],[16705,55,theory(equality)])).
% cnf(16707,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,X1),esk17_0,esk18_0)|~member(esk9_4(esk16_0,inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,X1),esk17_0,esk18_0),X1)),inference(spm,[status(thm)],[16706,57,theory(equality)])).
% cnf(16708,negated_conjecture,(equal_maps(esk16_0,inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk17_0,esk18_0)),inference(spm,[status(thm)],[16707,57,theory(equality)])).
% cnf(16709,negated_conjecture,(X1=X2|~apply(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),X3,X2)|~apply(esk16_0,X3,X1)|~member(X3,esk17_0)|~member(X2,esk18_0)|~member(X1,esk18_0)),inference(spm,[status(thm)],[58,16708,theory(equality)])).
% cnf(16771,negated_conjecture,(X1=esk10_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),X2,X3,X4)|equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),X2,X3,X4)|~apply(esk16_0,esk9_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),X2,X3,X4),X1)|~member(esk9_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),X2,X3,X4),esk17_0)|~member(esk10_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),X2,X3,X4),esk18_0)|~member(X1,esk18_0)),inference(spm,[status(thm)],[16709,54,theory(equality)])).
% cnf(18785,negated_conjecture,(esk11_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2)=esk10_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2)|equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2)|~member(esk9_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2),esk17_0)|~member(esk10_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2),esk18_0)|~member(esk11_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2),esk18_0)),inference(spm,[status(thm)],[16771,53,theory(equality)])).
% cnf(18787,negated_conjecture,(equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2)|~member(esk9_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2),esk17_0)|~member(esk10_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2),esk18_0)|~member(esk11_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,X2),esk18_0)),inference(csr,[status(thm)],[18785,52])).
% cnf(18788,negated_conjecture,(equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,esk18_0)|~member(esk9_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,esk18_0),esk17_0)|~member(esk10_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,esk18_0),esk18_0)),inference(spm,[status(thm)],[18787,55,theory(equality)])).
% cnf(18789,negated_conjecture,(equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,esk18_0)|~member(esk9_4(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,X1,esk18_0),esk17_0)),inference(csr,[status(thm)],[18788,56])).
% cnf(18790,negated_conjecture,(equal_maps(inverse_function(inverse_function(esk16_0,esk17_0,esk18_0),esk18_0,esk17_0),esk16_0,esk17_0,esk18_0)),inference(spm,[status(thm)],[18789,57,theory(equality)])).
% cnf(18791,negated_conjecture,($false),inference(sr,[status(thm)],[18790,84,theory(equality)])).
% cnf(18792,negated_conjecture,($false),18791,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3048
% # ...of these trivial : 0
% # ...subsumed : 1729
% # ...remaining for further processing: 1319
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 73
% # Backward-rewritten : 0
% # Generated clauses : 12174
% # ...of the previous two non-trivial : 12012
% # Contextual simplify-reflections : 5627
% # Paramodulations : 12174
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 1197
% # Positive orientable unit clauses: 5
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 1
% # Non-unit-clauses : 1191
% # Current number of unprocessed clauses: 8798
% # ...number of literals in the above : 118330
% # Clause-clause subsumption calls (NU) : 114006
% # Rec. Clause-clause subsumption calls : 14801
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 495 leaves, 9.81+/-18.909 terms/leaf
% # Paramod-from index: 73 leaves, 3.38+/-9.018 terms/leaf
% # Paramod-into index: 298 leaves, 5.72+/-11.139 terms/leaf
% # -------------------------------------------------
% # User time : 3.280 s
% # System time : 0.059 s
% # Total time : 3.338 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.95 CPU 4.10 WC
% FINAL PrfWatch: 3.95 CPU 4.10 WC
% SZS output end Solution for /tmp/SystemOnTPTP7384/SET720+4.tptp
%
%------------------------------------------------------------------------------