TSTP Solution File: SET711+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET711+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 : art06.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 23:34:54 EST 2010
% Result : Theorem 96.26s
% Output : Solution 98.51s
% 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/SystemOnTPTP11301/SET711+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~thII03a:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... inverse_predicate:
% CSA axiom inverse_predicate 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_predicate (6)
% Unselected axioms are ... :singleton:unordered_pair:power_set:compose_predicate:compose_function:identity:surjective:inverse_function: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/SystemOnTPTP11301/SET711+4.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP11301/SET711+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 12672
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:(injective(X1,X2,X3)<=>![X4]:![X5]:![X6]:(((member(X4,X2)&member(X5,X2))&member(X6,X3))=>((apply(X1,X4,X6)&apply(X1,X5,X6))=>X4=X5))),file('/tmp/SRASS.s.p', injective)).
% fof(2, axiom,![X1]:![X2]:![X3]:(one_to_one(X1,X2,X3)<=>(injective(X1,X2,X3)&surjective(X1,X2,X3))),file('/tmp/SRASS.s.p', one_to_one)).
% 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,![X10]:![X1]:![X2]:![X3]:(inverse_predicate(X10,X1,X2,X3)<=>![X7]:![X6]:((member(X7,X2)&member(X6,X3))=>(apply(X1,X7,X6)<=>apply(X10,X6,X7)))),file('/tmp/SRASS.s.p', inverse_predicate)).
% fof(7, conjecture,![X1]:![X10]:![X13]:![X2]:![X3]:((((maps(X1,X2,X3)&one_to_one(X1,X2,X3))&inverse_predicate(X10,X1,X2,X3))&inverse_predicate(X13,X1,X2,X3))=>equal_maps(X10,X13,X3,X2)),file('/tmp/SRASS.s.p', thII03a)).
% fof(8, negated_conjecture,~(![X1]:![X10]:![X13]:![X2]:![X3]:((((maps(X1,X2,X3)&one_to_one(X1,X2,X3))&inverse_predicate(X10,X1,X2,X3))&inverse_predicate(X13,X1,X2,X3))=>equal_maps(X10,X13,X3,X2))),inference(assume_negation,[status(cth)],[7])).
% fof(9, plain,![X1]:![X2]:![X3]:((~(injective(X1,X2,X3))|![X4]:![X5]:![X6]:(((~(member(X4,X2))|~(member(X5,X2)))|~(member(X6,X3)))|((~(apply(X1,X4,X6))|~(apply(X1,X5,X6)))|X4=X5)))&(?[X4]:?[X5]:?[X6]:(((member(X4,X2)&member(X5,X2))&member(X6,X3))&((apply(X1,X4,X6)&apply(X1,X5,X6))&~(X4=X5)))|injective(X1,X2,X3))),inference(fof_nnf,[status(thm)],[1])).
% fof(10, plain,![X7]:![X8]:![X9]:((~(injective(X7,X8,X9))|![X10]:![X11]:![X12]:(((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11)))&(?[X13]:?[X14]:?[X15]:(((member(X13,X8)&member(X14,X8))&member(X15,X9))&((apply(X7,X13,X15)&apply(X7,X14,X15))&~(X13=X14)))|injective(X7,X8,X9))),inference(variable_rename,[status(thm)],[9])).
% fof(11, plain,![X7]:![X8]:![X9]:((~(injective(X7,X8,X9))|![X10]:![X11]:![X12]:(((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11)))&((((member(esk1_3(X7,X8,X9),X8)&member(esk2_3(X7,X8,X9),X8))&member(esk3_3(X7,X8,X9),X9))&((apply(X7,esk1_3(X7,X8,X9),esk3_3(X7,X8,X9))&apply(X7,esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)))&~(esk1_3(X7,X8,X9)=esk2_3(X7,X8,X9))))|injective(X7,X8,X9))),inference(skolemize,[status(esa)],[10])).
% fof(12, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:(((((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11))|~(injective(X7,X8,X9)))&((((member(esk1_3(X7,X8,X9),X8)&member(esk2_3(X7,X8,X9),X8))&member(esk3_3(X7,X8,X9),X9))&((apply(X7,esk1_3(X7,X8,X9),esk3_3(X7,X8,X9))&apply(X7,esk2_3(X7,X8,X9),esk3_3(X7,X8,X9)))&~(esk1_3(X7,X8,X9)=esk2_3(X7,X8,X9))))|injective(X7,X8,X9))),inference(shift_quantors,[status(thm)],[11])).
% fof(13, plain,![X7]:![X8]:![X9]:![X10]:![X11]:![X12]:(((((~(member(X10,X8))|~(member(X11,X8)))|~(member(X12,X9)))|((~(apply(X7,X10,X12))|~(apply(X7,X11,X12)))|X10=X11))|~(injective(X7,X8,X9)))&((((member(esk1_3(X7,X8,X9),X8)|injective(X7,X8,X9))&(member(esk2_3(X7,X8,X9),X8)|injective(X7,X8,X9)))&(member(esk3_3(X7,X8,X9),X9)|injective(X7,X8,X9)))&(((apply(X7,esk1_3(X7,X8,X9),esk3_3(X7,X8,X9))|injective(X7,X8,X9))&(apply(X7,esk2_3(X7,X8,X9),esk3_3(X7,X8,X9))|injective(X7,X8,X9)))&(~(esk1_3(X7,X8,X9)=esk2_3(X7,X8,X9))|injective(X7,X8,X9))))),inference(distribute,[status(thm)],[12])).
% cnf(20,plain,(X4=X5|~injective(X1,X2,X3)|~apply(X1,X5,X6)|~apply(X1,X4,X6)|~member(X6,X3)|~member(X5,X2)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[13])).
% fof(21, plain,![X1]:![X2]:![X3]:((~(one_to_one(X1,X2,X3))|(injective(X1,X2,X3)&surjective(X1,X2,X3)))&((~(injective(X1,X2,X3))|~(surjective(X1,X2,X3)))|one_to_one(X1,X2,X3))),inference(fof_nnf,[status(thm)],[2])).
% fof(22, plain,![X4]:![X5]:![X6]:((~(one_to_one(X4,X5,X6))|(injective(X4,X5,X6)&surjective(X4,X5,X6)))&((~(injective(X4,X5,X6))|~(surjective(X4,X5,X6)))|one_to_one(X4,X5,X6))),inference(variable_rename,[status(thm)],[21])).
% fof(23, plain,![X4]:![X5]:![X6]:(((injective(X4,X5,X6)|~(one_to_one(X4,X5,X6)))&(surjective(X4,X5,X6)|~(one_to_one(X4,X5,X6))))&((~(injective(X4,X5,X6))|~(surjective(X4,X5,X6)))|one_to_one(X4,X5,X6))),inference(distribute,[status(thm)],[22])).
% cnf(26,plain,(injective(X1,X2,X3)|~one_to_one(X1,X2,X3)),inference(split_conjunct,[status(thm)],[23])).
% 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,![X10]:![X1]:![X2]:![X3]:((~(inverse_predicate(X10,X1,X2,X3))|![X7]:![X6]:((~(member(X7,X2))|~(member(X6,X3)))|((~(apply(X1,X7,X6))|apply(X10,X6,X7))&(~(apply(X10,X6,X7))|apply(X1,X7,X6)))))&(?[X7]:?[X6]:((member(X7,X2)&member(X6,X3))&((~(apply(X1,X7,X6))|~(apply(X10,X6,X7)))&(apply(X1,X7,X6)|apply(X10,X6,X7))))|inverse_predicate(X10,X1,X2,X3))),inference(fof_nnf,[status(thm)],[6])).
% fof(77, plain,![X11]:![X12]:![X13]:![X14]:((~(inverse_predicate(X11,X12,X13,X14))|![X15]:![X16]:((~(member(X15,X13))|~(member(X16,X14)))|((~(apply(X12,X15,X16))|apply(X11,X16,X15))&(~(apply(X11,X16,X15))|apply(X12,X15,X16)))))&(?[X17]:?[X18]:((member(X17,X13)&member(X18,X14))&((~(apply(X12,X17,X18))|~(apply(X11,X18,X17)))&(apply(X12,X17,X18)|apply(X11,X18,X17))))|inverse_predicate(X11,X12,X13,X14))),inference(variable_rename,[status(thm)],[76])).
% fof(78, plain,![X11]:![X12]:![X13]:![X14]:((~(inverse_predicate(X11,X12,X13,X14))|![X15]:![X16]:((~(member(X15,X13))|~(member(X16,X14)))|((~(apply(X12,X15,X16))|apply(X11,X16,X15))&(~(apply(X11,X16,X15))|apply(X12,X15,X16)))))&(((member(esk16_4(X11,X12,X13,X14),X13)&member(esk17_4(X11,X12,X13,X14),X14))&((~(apply(X12,esk16_4(X11,X12,X13,X14),esk17_4(X11,X12,X13,X14)))|~(apply(X11,esk17_4(X11,X12,X13,X14),esk16_4(X11,X12,X13,X14))))&(apply(X12,esk16_4(X11,X12,X13,X14),esk17_4(X11,X12,X13,X14))|apply(X11,esk17_4(X11,X12,X13,X14),esk16_4(X11,X12,X13,X14)))))|inverse_predicate(X11,X12,X13,X14))),inference(skolemize,[status(esa)],[77])).
% fof(79, plain,![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:((((~(member(X15,X13))|~(member(X16,X14)))|((~(apply(X12,X15,X16))|apply(X11,X16,X15))&(~(apply(X11,X16,X15))|apply(X12,X15,X16))))|~(inverse_predicate(X11,X12,X13,X14)))&(((member(esk16_4(X11,X12,X13,X14),X13)&member(esk17_4(X11,X12,X13,X14),X14))&((~(apply(X12,esk16_4(X11,X12,X13,X14),esk17_4(X11,X12,X13,X14)))|~(apply(X11,esk17_4(X11,X12,X13,X14),esk16_4(X11,X12,X13,X14))))&(apply(X12,esk16_4(X11,X12,X13,X14),esk17_4(X11,X12,X13,X14))|apply(X11,esk17_4(X11,X12,X13,X14),esk16_4(X11,X12,X13,X14)))))|inverse_predicate(X11,X12,X13,X14))),inference(shift_quantors,[status(thm)],[78])).
% fof(80, plain,![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:(((((~(apply(X12,X15,X16))|apply(X11,X16,X15))|(~(member(X15,X13))|~(member(X16,X14))))|~(inverse_predicate(X11,X12,X13,X14)))&(((~(apply(X11,X16,X15))|apply(X12,X15,X16))|(~(member(X15,X13))|~(member(X16,X14))))|~(inverse_predicate(X11,X12,X13,X14))))&(((member(esk16_4(X11,X12,X13,X14),X13)|inverse_predicate(X11,X12,X13,X14))&(member(esk17_4(X11,X12,X13,X14),X14)|inverse_predicate(X11,X12,X13,X14)))&(((~(apply(X12,esk16_4(X11,X12,X13,X14),esk17_4(X11,X12,X13,X14)))|~(apply(X11,esk17_4(X11,X12,X13,X14),esk16_4(X11,X12,X13,X14))))|inverse_predicate(X11,X12,X13,X14))&((apply(X12,esk16_4(X11,X12,X13,X14),esk17_4(X11,X12,X13,X14))|apply(X11,esk17_4(X11,X12,X13,X14),esk16_4(X11,X12,X13,X14)))|inverse_predicate(X11,X12,X13,X14))))),inference(distribute,[status(thm)],[79])).
% cnf(85,plain,(apply(X2,X6,X5)|~inverse_predicate(X1,X2,X3,X4)|~member(X5,X4)|~member(X6,X3)|~apply(X1,X5,X6)),inference(split_conjunct,[status(thm)],[80])).
% cnf(86,plain,(apply(X1,X5,X6)|~inverse_predicate(X1,X2,X3,X4)|~member(X5,X4)|~member(X6,X3)|~apply(X2,X6,X5)),inference(split_conjunct,[status(thm)],[80])).
% fof(87, negated_conjecture,?[X1]:?[X10]:?[X13]:?[X2]:?[X3]:((((maps(X1,X2,X3)&one_to_one(X1,X2,X3))&inverse_predicate(X10,X1,X2,X3))&inverse_predicate(X13,X1,X2,X3))&~(equal_maps(X10,X13,X3,X2))),inference(fof_nnf,[status(thm)],[8])).
% fof(88, negated_conjecture,?[X14]:?[X15]:?[X16]:?[X17]:?[X18]:((((maps(X14,X17,X18)&one_to_one(X14,X17,X18))&inverse_predicate(X15,X14,X17,X18))&inverse_predicate(X16,X14,X17,X18))&~(equal_maps(X15,X16,X18,X17))),inference(variable_rename,[status(thm)],[87])).
% fof(89, negated_conjecture,((((maps(esk18_0,esk21_0,esk22_0)&one_to_one(esk18_0,esk21_0,esk22_0))&inverse_predicate(esk19_0,esk18_0,esk21_0,esk22_0))&inverse_predicate(esk20_0,esk18_0,esk21_0,esk22_0))&~(equal_maps(esk19_0,esk20_0,esk22_0,esk21_0))),inference(skolemize,[status(esa)],[88])).
% cnf(90,negated_conjecture,(~equal_maps(esk19_0,esk20_0,esk22_0,esk21_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(91,negated_conjecture,(inverse_predicate(esk20_0,esk18_0,esk21_0,esk22_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(92,negated_conjecture,(inverse_predicate(esk19_0,esk18_0,esk21_0,esk22_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(93,negated_conjecture,(one_to_one(esk18_0,esk21_0,esk22_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(96,negated_conjecture,(apply(esk18_0,X1,X2)|~apply(esk20_0,X2,X1)|~member(X1,esk21_0)|~member(X2,esk22_0)),inference(spm,[status(thm)],[85,91,theory(equality)])).
% cnf(97,negated_conjecture,(apply(esk18_0,X1,X2)|~apply(esk19_0,X2,X1)|~member(X1,esk21_0)|~member(X2,esk22_0)),inference(spm,[status(thm)],[85,92,theory(equality)])).
% cnf(98,negated_conjecture,(apply(esk20_0,X1,X2)|~apply(esk18_0,X2,X1)|~member(X2,esk21_0)|~member(X1,esk22_0)),inference(spm,[status(thm)],[86,91,theory(equality)])).
% cnf(126,negated_conjecture,(apply(esk18_0,esk11_4(X1,esk20_0,X2,X3),esk9_4(X1,esk20_0,X2,X3))|equal_maps(X1,esk20_0,X2,X3)|~member(esk11_4(X1,esk20_0,X2,X3),esk21_0)|~member(esk9_4(X1,esk20_0,X2,X3),esk22_0)),inference(spm,[status(thm)],[96,53,theory(equality)])).
% cnf(127,negated_conjecture,(apply(esk18_0,esk10_4(esk20_0,X1,X2,X3),esk9_4(esk20_0,X1,X2,X3))|equal_maps(esk20_0,X1,X2,X3)|~member(esk10_4(esk20_0,X1,X2,X3),esk21_0)|~member(esk9_4(esk20_0,X1,X2,X3),esk22_0)),inference(spm,[status(thm)],[96,54,theory(equality)])).
% cnf(138,negated_conjecture,(apply(esk18_0,esk10_4(esk19_0,X1,X2,X3),esk9_4(esk19_0,X1,X2,X3))|equal_maps(esk19_0,X1,X2,X3)|~member(esk10_4(esk19_0,X1,X2,X3),esk21_0)|~member(esk9_4(esk19_0,X1,X2,X3),esk22_0)),inference(spm,[status(thm)],[97,54,theory(equality)])).
% cnf(220,negated_conjecture,(X1=esk11_4(X2,esk20_0,X3,X4)|equal_maps(X2,esk20_0,X3,X4)|~apply(esk18_0,X1,esk9_4(X2,esk20_0,X3,X4))|~member(esk9_4(X2,esk20_0,X3,X4),X5)|~member(esk11_4(X2,esk20_0,X3,X4),X6)|~member(X1,X6)|~injective(esk18_0,X6,X5)|~member(esk11_4(X2,esk20_0,X3,X4),esk21_0)|~member(esk9_4(X2,esk20_0,X3,X4),esk22_0)),inference(spm,[status(thm)],[20,126,theory(equality)])).
% cnf(2367,negated_conjecture,(esk10_4(esk20_0,esk20_0,X1,X2)=esk11_4(esk20_0,esk20_0,X1,X2)|equal_maps(esk20_0,esk20_0,X1,X2)|~member(esk11_4(esk20_0,esk20_0,X1,X2),esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,X2),esk22_0)|~member(esk9_4(esk20_0,esk20_0,X1,X2),X3)|~member(esk11_4(esk20_0,esk20_0,X1,X2),X4)|~member(esk10_4(esk20_0,esk20_0,X1,X2),X4)|~injective(esk18_0,X4,X3)|~member(esk10_4(esk20_0,esk20_0,X1,X2),esk21_0)),inference(spm,[status(thm)],[220,127,theory(equality)])).
% cnf(12841,negated_conjecture,(equal_maps(esk20_0,esk20_0,X1,X2)|~member(esk11_4(esk20_0,esk20_0,X1,X2),esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,X2),esk22_0)|~member(esk10_4(esk20_0,esk20_0,X1,X2),esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,X2),X3)|~member(esk11_4(esk20_0,esk20_0,X1,X2),X4)|~member(esk10_4(esk20_0,esk20_0,X1,X2),X4)|~injective(esk18_0,X4,X3)),inference(csr,[status(thm)],[2367,52])).
% cnf(12842,negated_conjecture,(equal_maps(esk20_0,esk20_0,X1,esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,esk21_0),esk22_0)|~member(esk10_4(esk20_0,esk20_0,X1,esk21_0),esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,esk21_0),X2)|~member(esk11_4(esk20_0,esk20_0,X1,esk21_0),X3)|~member(esk10_4(esk20_0,esk20_0,X1,esk21_0),X3)|~injective(esk18_0,X3,X2)),inference(spm,[status(thm)],[12841,55,theory(equality)])).
% cnf(12843,negated_conjecture,(equal_maps(esk20_0,esk20_0,X1,esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,esk21_0),esk22_0)|~member(esk9_4(esk20_0,esk20_0,X1,esk21_0),X2)|~member(esk11_4(esk20_0,esk20_0,X1,esk21_0),X3)|~member(esk10_4(esk20_0,esk20_0,X1,esk21_0),X3)|~injective(esk18_0,X3,X2)),inference(csr,[status(thm)],[12842,56])).
% cnf(12844,negated_conjecture,(equal_maps(esk20_0,esk20_0,X1,esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,esk21_0),esk22_0)|~member(esk11_4(esk20_0,esk20_0,X1,esk21_0),X2)|~member(esk10_4(esk20_0,esk20_0,X1,esk21_0),X2)|~injective(esk18_0,X2,X1)),inference(spm,[status(thm)],[12843,57,theory(equality)])).
% cnf(12845,negated_conjecture,(equal_maps(esk20_0,esk20_0,X1,esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,esk21_0),esk22_0)|~member(esk10_4(esk20_0,esk20_0,X1,esk21_0),esk21_0)|~injective(esk18_0,esk21_0,X1)),inference(spm,[status(thm)],[12844,55,theory(equality)])).
% cnf(12846,negated_conjecture,(equal_maps(esk20_0,esk20_0,X1,esk21_0)|~member(esk9_4(esk20_0,esk20_0,X1,esk21_0),esk22_0)|~injective(esk18_0,esk21_0,X1)),inference(csr,[status(thm)],[12845,56])).
% cnf(12847,negated_conjecture,(equal_maps(esk20_0,esk20_0,esk22_0,esk21_0)|~injective(esk18_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[12846,57,theory(equality)])).
% cnf(12848,negated_conjecture,(X1=X2|~apply(esk20_0,X3,X2)|~apply(esk20_0,X3,X1)|~member(X3,esk22_0)|~member(X2,esk21_0)|~member(X1,esk21_0)|~injective(esk18_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[58,12847,theory(equality)])).
% cnf(12849,negated_conjecture,(X1=X2|~apply(esk20_0,X3,X2)|~apply(esk20_0,X3,X1)|~member(X3,esk22_0)|~member(X2,esk21_0)|~member(X1,esk21_0)|~one_to_one(esk18_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[12848,26,theory(equality)])).
% cnf(12850,negated_conjecture,(X1=X2|~apply(esk20_0,X3,X2)|~apply(esk20_0,X3,X1)|~member(X3,esk22_0)|~member(X2,esk21_0)|~member(X1,esk21_0)|$false),inference(rw,[status(thm)],[12849,93,theory(equality)])).
% cnf(12851,negated_conjecture,(X1=X2|~apply(esk20_0,X3,X2)|~apply(esk20_0,X3,X1)|~member(X3,esk22_0)|~member(X2,esk21_0)|~member(X1,esk21_0)),inference(cn,[status(thm)],[12850,theory(equality)])).
% cnf(12903,negated_conjecture,(X1=X2|~apply(esk20_0,X3,X1)|~member(X3,esk22_0)|~member(X2,esk21_0)|~member(X1,esk21_0)|~apply(esk18_0,X2,X3)),inference(spm,[status(thm)],[12851,98,theory(equality)])).
% cnf(12925,negated_conjecture,(esk11_4(X1,esk20_0,X2,X3)=X4|equal_maps(X1,esk20_0,X2,X3)|~apply(esk18_0,X4,esk9_4(X1,esk20_0,X2,X3))|~member(esk9_4(X1,esk20_0,X2,X3),esk22_0)|~member(X4,esk21_0)|~member(esk11_4(X1,esk20_0,X2,X3),esk21_0)),inference(spm,[status(thm)],[12903,53,theory(equality)])).
% cnf(13677,negated_conjecture,(esk11_4(esk19_0,esk20_0,X1,X2)=esk10_4(esk19_0,esk20_0,X1,X2)|equal_maps(esk19_0,esk20_0,X1,X2)|~member(esk9_4(esk19_0,esk20_0,X1,X2),esk22_0)|~member(esk11_4(esk19_0,esk20_0,X1,X2),esk21_0)|~member(esk10_4(esk19_0,esk20_0,X1,X2),esk21_0)),inference(spm,[status(thm)],[12925,138,theory(equality)])).
% cnf(13681,negated_conjecture,(equal_maps(esk19_0,esk20_0,X1,X2)|~member(esk9_4(esk19_0,esk20_0,X1,X2),esk22_0)|~member(esk11_4(esk19_0,esk20_0,X1,X2),esk21_0)|~member(esk10_4(esk19_0,esk20_0,X1,X2),esk21_0)),inference(csr,[status(thm)],[13677,52])).
% cnf(13682,negated_conjecture,(equal_maps(esk19_0,esk20_0,X1,esk21_0)|~member(esk9_4(esk19_0,esk20_0,X1,esk21_0),esk22_0)|~member(esk10_4(esk19_0,esk20_0,X1,esk21_0),esk21_0)),inference(spm,[status(thm)],[13681,55,theory(equality)])).
% cnf(13683,negated_conjecture,(equal_maps(esk19_0,esk20_0,X1,esk21_0)|~member(esk9_4(esk19_0,esk20_0,X1,esk21_0),esk22_0)),inference(csr,[status(thm)],[13682,56])).
% cnf(13684,negated_conjecture,(equal_maps(esk19_0,esk20_0,esk22_0,esk21_0)),inference(spm,[status(thm)],[13683,57,theory(equality)])).
% cnf(13685,negated_conjecture,($false),inference(sr,[status(thm)],[13684,90,theory(equality)])).
% cnf(13686,negated_conjecture,($false),13685,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3532
% # ...of these trivial : 0
% # ...subsumed : 2337
% # ...remaining for further processing: 1195
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 127
% # Backward-rewritten : 84
% # Generated clauses : 6538
% # ...of the previous two non-trivial : 6276
% # Contextual simplify-reflections : 6243
% # Paramodulations : 6530
% # Factorizations : 8
% # Equation resolutions : 0
% # Current number of processed clauses: 929
% # Positive orientable unit clauses: 13
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 913
% # Current number of unprocessed clauses: 2431
% # ...number of literals in the above : 27351
% # Clause-clause subsumption calls (NU) : 179150
% # Rec. Clause-clause subsumption calls : 14647
% # Unit Clause-clause subsumption calls : 394
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 16
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 522 leaves, 4.50+/-8.942 terms/leaf
% # Paramod-from index: 129 leaves, 1.86+/-4.820 terms/leaf
% # Paramod-into index: 391 leaves, 2.79+/-7.249 terms/leaf
% # -------------------------------------------------
% # User time : 1.549 s
% # System time : 0.022 s
% # Total time : 1.571 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.90 CPU 1.99 WC
% FINAL PrfWatch: 1.90 CPU 1.99 WC
% SZS output end Solution for /tmp/SystemOnTPTP11301/SET711+4.tptp
%
%------------------------------------------------------------------------------