TSTP Solution File: SET728+4 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SET728+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 : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 23:48:25 EST 2010

% Result   : Theorem 98.06s
% Output   : Solution 99.27s
% 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/SystemOnTPTP7166/SET728+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~thII19:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... compose_function:
%  CSA axiom compose_function found
% Looking for CSA axiom ... identity:
%  CSA axiom identity 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 ... injective:
%  CSA axiom injective found
% Looking for CSA axiom ... isomorphism:
%  CSA axiom isomorphism found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :isomorphism:injective:maps:equal_maps:identity:compose_function (6)
% Unselected axioms are ... :singleton:unordered_pair:power_set:compose_predicate:surjective:one_to_one:inverse_predicate: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/SystemOnTPTP7166/SET728+4.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP7166/SET728+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 8969
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 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]:![X2]:![X4]:(maps(X1,X2,X4)<=>(![X11]:(member(X11,X2)=>?[X10]:(member(X10,X4)&apply(X1,X11,X10)))&![X11]:![X7]:![X9]:(((member(X11,X2)&member(X7,X4))&member(X9,X4))=>((apply(X1,X11,X7)&apply(X1,X11,X9))=>X7=X9)))),file('/tmp/SRASS.s.p', maps)).
% fof(4, axiom,![X1]:![X12]:![X2]:![X4]:(equal_maps(X1,X12,X2,X4)<=>![X11]:![X7]:![X9]:(((member(X11,X2)&member(X7,X4))&member(X9,X4))=>((apply(X1,X11,X7)&apply(X12,X11,X9))=>X7=X9))),file('/tmp/SRASS.s.p', equal_maps)).
% fof(5, axiom,![X1]:![X2]:(identity(X1,X2)<=>![X11]:(member(X11,X2)=>apply(X1,X11,X11))),file('/tmp/SRASS.s.p', identity)).
% fof(6, axiom,![X12]:![X1]:![X2]:![X4]:![X13]:![X11]:![X14]:((member(X11,X2)&member(X14,X13))=>(apply(compose_function(X12,X1,X2,X4,X13),X11,X14)<=>?[X10]:((member(X10,X4)&apply(X1,X11,X10))&apply(X12,X10,X14)))),file('/tmp/SRASS.s.p', compose_function)).
% fof(7, conjecture,![X1]:![X12]:![X15]:![X2]:![X4]:(((((maps(X1,X2,X4)&maps(X12,X4,X2))&maps(X15,X4,X2))&identity(compose_function(X12,X1,X2,X4,X2),X2))&identity(compose_function(X1,X15,X4,X2,X4),X4))=>equal_maps(X12,X15,X4,X2)),file('/tmp/SRASS.s.p', thII19)).
% fof(8, negated_conjecture,~(![X1]:![X12]:![X15]:![X2]:![X4]:(((((maps(X1,X2,X4)&maps(X12,X4,X2))&maps(X15,X4,X2))&identity(compose_function(X12,X1,X2,X4,X2),X2))&identity(compose_function(X1,X15,X4,X2,X4),X4))=>equal_maps(X12,X15,X4,X2))),inference(assume_negation,[status(cth)],[7])).
% fof(38, plain,![X1]:![X2]:![X4]:((~(maps(X1,X2,X4))|(![X11]:(~(member(X11,X2))|?[X10]:(member(X10,X4)&apply(X1,X11,X10)))&![X11]:![X7]:![X9]:(((~(member(X11,X2))|~(member(X7,X4)))|~(member(X9,X4)))|((~(apply(X1,X11,X7))|~(apply(X1,X11,X9)))|X7=X9))))&((?[X11]:(member(X11,X2)&![X10]:(~(member(X10,X4))|~(apply(X1,X11,X10))))|?[X11]:?[X7]:?[X9]:(((member(X11,X2)&member(X7,X4))&member(X9,X4))&((apply(X1,X11,X7)&apply(X1,X11,X9))&~(X7=X9))))|maps(X1,X2,X4))),inference(fof_nnf,[status(thm)],[3])).
% fof(39, plain,![X12]:![X13]:![X14]:((~(maps(X12,X13,X14))|(![X15]:(~(member(X15,X13))|?[X16]:(member(X16,X14)&apply(X12,X15,X16)))&![X17]:![X18]:![X19]:(((~(member(X17,X13))|~(member(X18,X14)))|~(member(X19,X14)))|((~(apply(X12,X17,X18))|~(apply(X12,X17,X19)))|X18=X19))))&((?[X20]:(member(X20,X13)&![X21]:(~(member(X21,X14))|~(apply(X12,X20,X21))))|?[X22]:?[X23]:?[X24]:(((member(X22,X13)&member(X23,X14))&member(X24,X14))&((apply(X12,X22,X23)&apply(X12,X22,X24))&~(X23=X24))))|maps(X12,X13,X14))),inference(variable_rename,[status(thm)],[38])).
% fof(40, plain,![X12]:![X13]:![X14]:((~(maps(X12,X13,X14))|(![X15]:(~(member(X15,X13))|(member(esk8_4(X12,X13,X14,X15),X14)&apply(X12,X15,esk8_4(X12,X13,X14,X15))))&![X17]:![X18]:![X19]:(((~(member(X17,X13))|~(member(X18,X14)))|~(member(X19,X14)))|((~(apply(X12,X17,X18))|~(apply(X12,X17,X19)))|X18=X19))))&(((member(esk9_3(X12,X13,X14),X13)&![X21]:(~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21))))|(((member(esk10_3(X12,X13,X14),X13)&member(esk11_3(X12,X13,X14),X14))&member(esk12_3(X12,X13,X14),X14))&((apply(X12,esk10_3(X12,X13,X14),esk11_3(X12,X13,X14))&apply(X12,esk10_3(X12,X13,X14),esk12_3(X12,X13,X14)))&~(esk11_3(X12,X13,X14)=esk12_3(X12,X13,X14)))))|maps(X12,X13,X14))),inference(skolemize,[status(esa)],[39])).
% fof(41, plain,![X12]:![X13]:![X14]:![X15]:![X17]:![X18]:![X19]:![X21]:(((((~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21)))&member(esk9_3(X12,X13,X14),X13))|(((member(esk10_3(X12,X13,X14),X13)&member(esk11_3(X12,X13,X14),X14))&member(esk12_3(X12,X13,X14),X14))&((apply(X12,esk10_3(X12,X13,X14),esk11_3(X12,X13,X14))&apply(X12,esk10_3(X12,X13,X14),esk12_3(X12,X13,X14)))&~(esk11_3(X12,X13,X14)=esk12_3(X12,X13,X14)))))|maps(X12,X13,X14))&(((((~(member(X17,X13))|~(member(X18,X14)))|~(member(X19,X14)))|((~(apply(X12,X17,X18))|~(apply(X12,X17,X19)))|X18=X19))&(~(member(X15,X13))|(member(esk8_4(X12,X13,X14,X15),X14)&apply(X12,X15,esk8_4(X12,X13,X14,X15)))))|~(maps(X12,X13,X14)))),inference(shift_quantors,[status(thm)],[40])).
% fof(42, plain,![X12]:![X13]:![X14]:![X15]:![X17]:![X18]:![X19]:![X21]:(((((((member(esk10_3(X12,X13,X14),X13)|(~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21))))|maps(X12,X13,X14))&((member(esk11_3(X12,X13,X14),X14)|(~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21))))|maps(X12,X13,X14)))&((member(esk12_3(X12,X13,X14),X14)|(~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21))))|maps(X12,X13,X14)))&((((apply(X12,esk10_3(X12,X13,X14),esk11_3(X12,X13,X14))|(~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21))))|maps(X12,X13,X14))&((apply(X12,esk10_3(X12,X13,X14),esk12_3(X12,X13,X14))|(~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21))))|maps(X12,X13,X14)))&((~(esk11_3(X12,X13,X14)=esk12_3(X12,X13,X14))|(~(member(X21,X14))|~(apply(X12,esk9_3(X12,X13,X14),X21))))|maps(X12,X13,X14))))&(((((member(esk10_3(X12,X13,X14),X13)|member(esk9_3(X12,X13,X14),X13))|maps(X12,X13,X14))&((member(esk11_3(X12,X13,X14),X14)|member(esk9_3(X12,X13,X14),X13))|maps(X12,X13,X14)))&((member(esk12_3(X12,X13,X14),X14)|member(esk9_3(X12,X13,X14),X13))|maps(X12,X13,X14)))&((((apply(X12,esk10_3(X12,X13,X14),esk11_3(X12,X13,X14))|member(esk9_3(X12,X13,X14),X13))|maps(X12,X13,X14))&((apply(X12,esk10_3(X12,X13,X14),esk12_3(X12,X13,X14))|member(esk9_3(X12,X13,X14),X13))|maps(X12,X13,X14)))&((~(esk11_3(X12,X13,X14)=esk12_3(X12,X13,X14))|member(esk9_3(X12,X13,X14),X13))|maps(X12,X13,X14)))))&(((((~(member(X17,X13))|~(member(X18,X14)))|~(member(X19,X14)))|((~(apply(X12,X17,X18))|~(apply(X12,X17,X19)))|X18=X19))|~(maps(X12,X13,X14)))&(((member(esk8_4(X12,X13,X14,X15),X14)|~(member(X15,X13)))|~(maps(X12,X13,X14)))&((apply(X12,X15,esk8_4(X12,X13,X14,X15))|~(member(X15,X13)))|~(maps(X12,X13,X14)))))),inference(distribute,[status(thm)],[41])).
% cnf(43,plain,(apply(X1,X4,esk8_4(X1,X2,X3,X4))|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[42])).
% cnf(44,plain,(member(esk8_4(X1,X2,X3,X4),X3)|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[42])).
% cnf(45,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)],[42])).
% fof(58, plain,![X1]:![X12]:![X2]:![X4]:((~(equal_maps(X1,X12,X2,X4))|![X11]:![X7]:![X9]:(((~(member(X11,X2))|~(member(X7,X4)))|~(member(X9,X4)))|((~(apply(X1,X11,X7))|~(apply(X12,X11,X9)))|X7=X9)))&(?[X11]:?[X7]:?[X9]:(((member(X11,X2)&member(X7,X4))&member(X9,X4))&((apply(X1,X11,X7)&apply(X12,X11,X9))&~(X7=X9)))|equal_maps(X1,X12,X2,X4))),inference(fof_nnf,[status(thm)],[4])).
% fof(59, plain,![X13]:![X14]:![X15]:![X16]:((~(equal_maps(X13,X14,X15,X16))|![X17]:![X18]:![X19]:(((~(member(X17,X15))|~(member(X18,X16)))|~(member(X19,X16)))|((~(apply(X13,X17,X18))|~(apply(X14,X17,X19)))|X18=X19)))&(?[X20]:?[X21]:?[X22]:(((member(X20,X15)&member(X21,X16))&member(X22,X16))&((apply(X13,X20,X21)&apply(X14,X20,X22))&~(X21=X22)))|equal_maps(X13,X14,X15,X16))),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X13]:![X14]:![X15]:![X16]:((~(equal_maps(X13,X14,X15,X16))|![X17]:![X18]:![X19]:(((~(member(X17,X15))|~(member(X18,X16)))|~(member(X19,X16)))|((~(apply(X13,X17,X18))|~(apply(X14,X17,X19)))|X18=X19)))&((((member(esk13_4(X13,X14,X15,X16),X15)&member(esk14_4(X13,X14,X15,X16),X16))&member(esk15_4(X13,X14,X15,X16),X16))&((apply(X13,esk13_4(X13,X14,X15,X16),esk14_4(X13,X14,X15,X16))&apply(X14,esk13_4(X13,X14,X15,X16),esk15_4(X13,X14,X15,X16)))&~(esk14_4(X13,X14,X15,X16)=esk15_4(X13,X14,X15,X16))))|equal_maps(X13,X14,X15,X16))),inference(skolemize,[status(esa)],[59])).
% fof(61, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:(((((~(member(X17,X15))|~(member(X18,X16)))|~(member(X19,X16)))|((~(apply(X13,X17,X18))|~(apply(X14,X17,X19)))|X18=X19))|~(equal_maps(X13,X14,X15,X16)))&((((member(esk13_4(X13,X14,X15,X16),X15)&member(esk14_4(X13,X14,X15,X16),X16))&member(esk15_4(X13,X14,X15,X16),X16))&((apply(X13,esk13_4(X13,X14,X15,X16),esk14_4(X13,X14,X15,X16))&apply(X14,esk13_4(X13,X14,X15,X16),esk15_4(X13,X14,X15,X16)))&~(esk14_4(X13,X14,X15,X16)=esk15_4(X13,X14,X15,X16))))|equal_maps(X13,X14,X15,X16))),inference(shift_quantors,[status(thm)],[60])).
% fof(62, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:(((((~(member(X17,X15))|~(member(X18,X16)))|~(member(X19,X16)))|((~(apply(X13,X17,X18))|~(apply(X14,X17,X19)))|X18=X19))|~(equal_maps(X13,X14,X15,X16)))&((((member(esk13_4(X13,X14,X15,X16),X15)|equal_maps(X13,X14,X15,X16))&(member(esk14_4(X13,X14,X15,X16),X16)|equal_maps(X13,X14,X15,X16)))&(member(esk15_4(X13,X14,X15,X16),X16)|equal_maps(X13,X14,X15,X16)))&(((apply(X13,esk13_4(X13,X14,X15,X16),esk14_4(X13,X14,X15,X16))|equal_maps(X13,X14,X15,X16))&(apply(X14,esk13_4(X13,X14,X15,X16),esk15_4(X13,X14,X15,X16))|equal_maps(X13,X14,X15,X16)))&(~(esk14_4(X13,X14,X15,X16)=esk15_4(X13,X14,X15,X16))|equal_maps(X13,X14,X15,X16))))),inference(distribute,[status(thm)],[61])).
% cnf(63,plain,(equal_maps(X1,X2,X3,X4)|esk14_4(X1,X2,X3,X4)!=esk15_4(X1,X2,X3,X4)),inference(split_conjunct,[status(thm)],[62])).
% cnf(64,plain,(equal_maps(X1,X2,X3,X4)|apply(X2,esk13_4(X1,X2,X3,X4),esk15_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[62])).
% cnf(65,plain,(equal_maps(X1,X2,X3,X4)|apply(X1,esk13_4(X1,X2,X3,X4),esk14_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[62])).
% cnf(66,plain,(equal_maps(X1,X2,X3,X4)|member(esk15_4(X1,X2,X3,X4),X4)),inference(split_conjunct,[status(thm)],[62])).
% cnf(67,plain,(equal_maps(X1,X2,X3,X4)|member(esk14_4(X1,X2,X3,X4),X4)),inference(split_conjunct,[status(thm)],[62])).
% cnf(68,plain,(equal_maps(X1,X2,X3,X4)|member(esk13_4(X1,X2,X3,X4),X3)),inference(split_conjunct,[status(thm)],[62])).
% cnf(69,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)],[62])).
% fof(70, plain,![X1]:![X2]:((~(identity(X1,X2))|![X11]:(~(member(X11,X2))|apply(X1,X11,X11)))&(?[X11]:(member(X11,X2)&~(apply(X1,X11,X11)))|identity(X1,X2))),inference(fof_nnf,[status(thm)],[5])).
% fof(71, plain,![X12]:![X13]:((~(identity(X12,X13))|![X14]:(~(member(X14,X13))|apply(X12,X14,X14)))&(?[X15]:(member(X15,X13)&~(apply(X12,X15,X15)))|identity(X12,X13))),inference(variable_rename,[status(thm)],[70])).
% fof(72, plain,![X12]:![X13]:((~(identity(X12,X13))|![X14]:(~(member(X14,X13))|apply(X12,X14,X14)))&((member(esk16_2(X12,X13),X13)&~(apply(X12,esk16_2(X12,X13),esk16_2(X12,X13))))|identity(X12,X13))),inference(skolemize,[status(esa)],[71])).
% fof(73, plain,![X12]:![X13]:![X14]:(((~(member(X14,X13))|apply(X12,X14,X14))|~(identity(X12,X13)))&((member(esk16_2(X12,X13),X13)&~(apply(X12,esk16_2(X12,X13),esk16_2(X12,X13))))|identity(X12,X13))),inference(shift_quantors,[status(thm)],[72])).
% fof(74, plain,![X12]:![X13]:![X14]:(((~(member(X14,X13))|apply(X12,X14,X14))|~(identity(X12,X13)))&((member(esk16_2(X12,X13),X13)|identity(X12,X13))&(~(apply(X12,esk16_2(X12,X13),esk16_2(X12,X13)))|identity(X12,X13)))),inference(distribute,[status(thm)],[73])).
% cnf(77,plain,(apply(X1,X3,X3)|~identity(X1,X2)|~member(X3,X2)),inference(split_conjunct,[status(thm)],[74])).
% fof(78, plain,![X12]:![X1]:![X2]:![X4]:![X13]:![X11]:![X14]:((~(member(X11,X2))|~(member(X14,X13)))|((~(apply(compose_function(X12,X1,X2,X4,X13),X11,X14))|?[X10]:((member(X10,X4)&apply(X1,X11,X10))&apply(X12,X10,X14)))&(![X10]:((~(member(X10,X4))|~(apply(X1,X11,X10)))|~(apply(X12,X10,X14)))|apply(compose_function(X12,X1,X2,X4,X13),X11,X14)))),inference(fof_nnf,[status(thm)],[6])).
% fof(79, plain,![X15]:![X16]:![X17]:![X18]:![X19]:![X20]:![X21]:((~(member(X20,X17))|~(member(X21,X19)))|((~(apply(compose_function(X15,X16,X17,X18,X19),X20,X21))|?[X22]:((member(X22,X18)&apply(X16,X20,X22))&apply(X15,X22,X21)))&(![X23]:((~(member(X23,X18))|~(apply(X16,X20,X23)))|~(apply(X15,X23,X21)))|apply(compose_function(X15,X16,X17,X18,X19),X20,X21)))),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X15]:![X16]:![X17]:![X18]:![X19]:![X20]:![X21]:((~(member(X20,X17))|~(member(X21,X19)))|((~(apply(compose_function(X15,X16,X17,X18,X19),X20,X21))|((member(esk17_7(X15,X16,X17,X18,X19,X20,X21),X18)&apply(X16,X20,esk17_7(X15,X16,X17,X18,X19,X20,X21)))&apply(X15,esk17_7(X15,X16,X17,X18,X19,X20,X21),X21)))&(![X23]:((~(member(X23,X18))|~(apply(X16,X20,X23)))|~(apply(X15,X23,X21)))|apply(compose_function(X15,X16,X17,X18,X19),X20,X21)))),inference(skolemize,[status(esa)],[79])).
% fof(81, plain,![X15]:![X16]:![X17]:![X18]:![X19]:![X20]:![X21]:![X23]:(((((~(member(X23,X18))|~(apply(X16,X20,X23)))|~(apply(X15,X23,X21)))|apply(compose_function(X15,X16,X17,X18,X19),X20,X21))&(~(apply(compose_function(X15,X16,X17,X18,X19),X20,X21))|((member(esk17_7(X15,X16,X17,X18,X19,X20,X21),X18)&apply(X16,X20,esk17_7(X15,X16,X17,X18,X19,X20,X21)))&apply(X15,esk17_7(X15,X16,X17,X18,X19,X20,X21),X21))))|(~(member(X20,X17))|~(member(X21,X19)))),inference(shift_quantors,[status(thm)],[80])).
% fof(82, plain,![X15]:![X16]:![X17]:![X18]:![X19]:![X20]:![X21]:![X23]:(((((~(member(X23,X18))|~(apply(X16,X20,X23)))|~(apply(X15,X23,X21)))|apply(compose_function(X15,X16,X17,X18,X19),X20,X21))|(~(member(X20,X17))|~(member(X21,X19))))&((((member(esk17_7(X15,X16,X17,X18,X19,X20,X21),X18)|~(apply(compose_function(X15,X16,X17,X18,X19),X20,X21)))|(~(member(X20,X17))|~(member(X21,X19))))&((apply(X16,X20,esk17_7(X15,X16,X17,X18,X19,X20,X21))|~(apply(compose_function(X15,X16,X17,X18,X19),X20,X21)))|(~(member(X20,X17))|~(member(X21,X19)))))&((apply(X15,esk17_7(X15,X16,X17,X18,X19,X20,X21),X21)|~(apply(compose_function(X15,X16,X17,X18,X19),X20,X21)))|(~(member(X20,X17))|~(member(X21,X19)))))),inference(distribute,[status(thm)],[81])).
% cnf(83,plain,(apply(X5,esk17_7(X5,X6,X4,X7,X2,X3,X1),X1)|~member(X1,X2)|~member(X3,X4)|~apply(compose_function(X5,X6,X4,X7,X2),X3,X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(84,plain,(apply(X6,X3,esk17_7(X5,X6,X4,X7,X2,X3,X1))|~member(X1,X2)|~member(X3,X4)|~apply(compose_function(X5,X6,X4,X7,X2),X3,X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(85,plain,(member(esk17_7(X5,X6,X4,X7,X2,X3,X1),X7)|~member(X1,X2)|~member(X3,X4)|~apply(compose_function(X5,X6,X4,X7,X2),X3,X1)),inference(split_conjunct,[status(thm)],[82])).
% fof(87, negated_conjecture,?[X1]:?[X12]:?[X15]:?[X2]:?[X4]:(((((maps(X1,X2,X4)&maps(X12,X4,X2))&maps(X15,X4,X2))&identity(compose_function(X12,X1,X2,X4,X2),X2))&identity(compose_function(X1,X15,X4,X2,X4),X4))&~(equal_maps(X12,X15,X4,X2))),inference(fof_nnf,[status(thm)],[8])).
% fof(88, negated_conjecture,?[X16]:?[X17]:?[X18]:?[X19]:?[X20]:(((((maps(X16,X19,X20)&maps(X17,X20,X19))&maps(X18,X20,X19))&identity(compose_function(X17,X16,X19,X20,X19),X19))&identity(compose_function(X16,X18,X20,X19,X20),X20))&~(equal_maps(X17,X18,X20,X19))),inference(variable_rename,[status(thm)],[87])).
% fof(89, negated_conjecture,(((((maps(esk18_0,esk21_0,esk22_0)&maps(esk19_0,esk22_0,esk21_0))&maps(esk20_0,esk22_0,esk21_0))&identity(compose_function(esk19_0,esk18_0,esk21_0,esk22_0,esk21_0),esk21_0))&identity(compose_function(esk18_0,esk20_0,esk22_0,esk21_0,esk22_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,(identity(compose_function(esk18_0,esk20_0,esk22_0,esk21_0,esk22_0),esk22_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(92,negated_conjecture,(identity(compose_function(esk19_0,esk18_0,esk21_0,esk22_0,esk21_0),esk21_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(93,negated_conjecture,(maps(esk20_0,esk22_0,esk21_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(94,negated_conjecture,(maps(esk19_0,esk22_0,esk21_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(95,negated_conjecture,(maps(esk18_0,esk21_0,esk22_0)),inference(split_conjunct,[status(thm)],[89])).
% cnf(96,negated_conjecture,(apply(compose_function(esk18_0,esk20_0,esk22_0,esk21_0,esk22_0),X1,X1)|~member(X1,esk22_0)),inference(spm,[status(thm)],[77,91,theory(equality)])).
% cnf(97,negated_conjecture,(apply(compose_function(esk19_0,esk18_0,esk21_0,esk22_0,esk21_0),X1,X1)|~member(X1,esk21_0)),inference(spm,[status(thm)],[77,92,theory(equality)])).
% cnf(115,plain,(X1=esk8_4(X2,X3,X4,X5)|~apply(X2,X5,X1)|~member(X5,X6)|~member(esk8_4(X2,X3,X4,X5),X7)|~member(X1,X7)|~maps(X2,X6,X7)|~member(X5,X3)|~maps(X2,X3,X4)),inference(spm,[status(thm)],[45,43,theory(equality)])).
% cnf(116,plain,(X1=esk17_7(X2,X3,X4,X5,X6,X7,X8)|~apply(X3,X7,X1)|~member(X7,X9)|~member(esk17_7(X2,X3,X4,X5,X6,X7,X8),X10)|~member(X1,X10)|~maps(X3,X9,X10)|~apply(compose_function(X2,X3,X4,X5,X6),X7,X8)|~member(X7,X4)|~member(X8,X6)),inference(spm,[status(thm)],[45,84,theory(equality)])).
% cnf(244,plain,(X1=esk8_4(X2,X3,X4,X5)|~apply(X2,X5,X1)|~member(X5,X6)|~member(X1,X4)|~member(X5,X3)|~maps(X2,X6,X4)|~maps(X2,X3,X4)),inference(spm,[status(thm)],[115,44,theory(equality)])).
% cnf(528,plain,(X1=esk17_7(X2,X3,X4,X5,X6,X7,X8)|~apply(compose_function(X2,X3,X4,X5,X6),X7,X8)|~apply(X3,X7,X1)|~member(X7,X9)|~member(X1,X5)|~member(X7,X4)|~member(X8,X6)|~maps(X3,X9,X5)),inference(spm,[status(thm)],[116,85,theory(equality)])).
% cnf(561,plain,(esk8_4(X1,X2,X3,X4)=esk17_7(X5,X1,X6,X7,X8,X4,X9)|~apply(compose_function(X5,X1,X6,X7,X8),X4,X9)|~member(X4,X10)|~member(esk8_4(X1,X2,X3,X4),X7)|~member(X4,X6)|~member(X9,X8)|~maps(X1,X10,X7)|~member(X4,X2)|~maps(X1,X2,X3)),inference(spm,[status(thm)],[528,43,theory(equality)])).
% cnf(1623,plain,(esk8_4(X1,X2,X3,X4)=esk17_7(X5,X1,X6,X3,X7,X4,X8)|~apply(compose_function(X5,X1,X6,X3,X7),X4,X8)|~member(X4,X9)|~member(X4,X6)|~member(X8,X7)|~member(X4,X2)|~maps(X1,X9,X3)|~maps(X1,X2,X3)),inference(spm,[status(thm)],[561,44,theory(equality)])).
% cnf(1624,negated_conjecture,(esk8_4(esk20_0,X1,esk21_0,X2)=esk17_7(X3,esk20_0,X4,esk21_0,X5,X2,X6)|~apply(compose_function(X3,esk20_0,X4,esk21_0,X5),X2,X6)|~member(X2,esk22_0)|~member(X2,X4)|~member(X6,X5)|~member(X2,X1)|~maps(esk20_0,X1,esk21_0)),inference(spm,[status(thm)],[1623,93,theory(equality)])).
% cnf(1626,negated_conjecture,(esk8_4(esk18_0,X1,esk22_0,X2)=esk17_7(X3,esk18_0,X4,esk22_0,X5,X2,X6)|~apply(compose_function(X3,esk18_0,X4,esk22_0,X5),X2,X6)|~member(X2,esk21_0)|~member(X2,X4)|~member(X6,X5)|~member(X2,X1)|~maps(esk18_0,X1,esk22_0)),inference(spm,[status(thm)],[1623,95,theory(equality)])).
% cnf(1628,negated_conjecture,(apply(X1,esk8_4(esk20_0,X6,esk21_0,X4),X5)|~apply(compose_function(X1,esk20_0,X2,esk21_0,X3),X4,X5)|~member(X4,X2)|~member(X5,X3)|~member(X4,esk22_0)|~member(X4,X6)|~maps(esk20_0,X6,esk21_0)),inference(spm,[status(thm)],[83,1624,theory(equality)])).
% cnf(1695,negated_conjecture,(apply(esk18_0,esk8_4(esk20_0,X1,esk21_0,X2),X2)|~member(X2,esk22_0)|~member(X2,X1)|~maps(esk20_0,X1,esk21_0)),inference(spm,[status(thm)],[1628,96,theory(equality)])).
% cnf(1716,negated_conjecture,(X1=esk8_4(esk18_0,X2,X3,esk8_4(esk20_0,X4,esk21_0,X1))|~member(esk8_4(esk20_0,X4,esk21_0,X1),X5)|~member(X1,X3)|~member(esk8_4(esk20_0,X4,esk21_0,X1),X2)|~maps(esk18_0,X5,X3)|~maps(esk18_0,X2,X3)|~member(X1,esk22_0)|~member(X1,X4)|~maps(esk20_0,X4,esk21_0)),inference(spm,[status(thm)],[244,1695,theory(equality)])).
% cnf(1834,negated_conjecture,(apply(X1,esk8_4(esk18_0,X6,esk22_0,X4),X5)|~apply(compose_function(X1,esk18_0,X2,esk22_0,X3),X4,X5)|~member(X4,X2)|~member(X5,X3)|~member(X4,esk21_0)|~member(X4,X6)|~maps(esk18_0,X6,esk22_0)),inference(spm,[status(thm)],[83,1626,theory(equality)])).
% cnf(1897,negated_conjecture,(apply(esk19_0,esk8_4(esk18_0,X1,esk22_0,X2),X2)|~member(X2,esk21_0)|~member(X2,X1)|~maps(esk18_0,X1,esk22_0)),inference(spm,[status(thm)],[1834,97,theory(equality)])).
% cnf(2279,negated_conjecture,(esk8_4(esk18_0,X1,X2,esk8_4(esk20_0,X3,esk21_0,X4))=X4|~member(esk8_4(esk20_0,X3,esk21_0,X4),X1)|~member(X4,esk22_0)|~member(X4,X2)|~member(X4,X3)|~maps(esk20_0,X3,esk21_0)|~maps(esk18_0,esk21_0,X2)|~maps(esk18_0,X1,X2)),inference(spm,[status(thm)],[1716,44,theory(equality)])).
% cnf(2290,negated_conjecture,(apply(esk19_0,X3,esk8_4(esk20_0,X2,esk21_0,X3))|~member(esk8_4(esk20_0,X2,esk21_0,X3),esk21_0)|~member(esk8_4(esk20_0,X2,esk21_0,X3),X1)|~maps(esk18_0,X1,esk22_0)|~member(X3,esk22_0)|~member(X3,X2)|~maps(esk20_0,X2,esk21_0)|~maps(esk18_0,esk21_0,esk22_0)),inference(spm,[status(thm)],[1897,2279,theory(equality)])).
% cnf(2308,negated_conjecture,(apply(esk19_0,X3,esk8_4(esk20_0,X2,esk21_0,X3))|~member(esk8_4(esk20_0,X2,esk21_0,X3),esk21_0)|~member(esk8_4(esk20_0,X2,esk21_0,X3),X1)|~maps(esk18_0,X1,esk22_0)|~member(X3,esk22_0)|~member(X3,X2)|~maps(esk20_0,X2,esk21_0)|$false),inference(rw,[status(thm)],[2290,95,theory(equality)])).
% cnf(2309,negated_conjecture,(apply(esk19_0,X3,esk8_4(esk20_0,X2,esk21_0,X3))|~member(esk8_4(esk20_0,X2,esk21_0,X3),esk21_0)|~member(esk8_4(esk20_0,X2,esk21_0,X3),X1)|~maps(esk18_0,X1,esk22_0)|~member(X3,esk22_0)|~member(X3,X2)|~maps(esk20_0,X2,esk21_0)),inference(cn,[status(thm)],[2308,theory(equality)])).
% cnf(2318,negated_conjecture,(apply(esk19_0,X3,esk8_4(esk20_0,X2,esk21_0,X3))|~member(esk8_4(esk20_0,X2,esk21_0,X3),X1)|~member(X3,esk22_0)|~member(X3,X2)|~maps(esk18_0,X1,esk22_0)|~maps(esk20_0,X2,esk21_0)),inference(csr,[status(thm)],[2309,44])).
% cnf(2328,negated_conjecture,(apply(esk19_0,X1,esk8_4(esk20_0,X2,esk21_0,X1))|~member(X1,esk22_0)|~member(X1,X2)|~maps(esk18_0,esk21_0,esk22_0)|~maps(esk20_0,X2,esk21_0)),inference(spm,[status(thm)],[2318,44,theory(equality)])).
% cnf(2329,negated_conjecture,(apply(esk19_0,X1,esk8_4(esk20_0,X2,esk21_0,X1))|~member(X1,esk22_0)|~member(X1,X2)|$false|~maps(esk20_0,X2,esk21_0)),inference(rw,[status(thm)],[2328,95,theory(equality)])).
% cnf(2330,negated_conjecture,(apply(esk19_0,X1,esk8_4(esk20_0,X2,esk21_0,X1))|~member(X1,esk22_0)|~member(X1,X2)|~maps(esk20_0,X2,esk21_0)),inference(cn,[status(thm)],[2329,theory(equality)])).
% cnf(2362,negated_conjecture,(X1=esk8_4(esk20_0,X2,esk21_0,X3)|~apply(esk19_0,X3,X1)|~member(X3,X4)|~member(esk8_4(esk20_0,X2,esk21_0,X3),X5)|~member(X1,X5)|~maps(esk19_0,X4,X5)|~member(X3,esk22_0)|~member(X3,X2)|~maps(esk20_0,X2,esk21_0)),inference(spm,[status(thm)],[45,2330,theory(equality)])).
% cnf(2482,negated_conjecture,(X1=esk8_4(esk20_0,X2,esk21_0,X3)|~apply(esk19_0,X3,X1)|~member(X3,esk22_0)|~member(X3,X4)|~member(X1,esk21_0)|~member(X3,X2)|~maps(esk20_0,X2,esk21_0)|~maps(esk19_0,X4,esk21_0)),inference(spm,[status(thm)],[2362,44,theory(equality)])).
% cnf(2484,negated_conjecture,(X1=esk8_4(esk20_0,X2,esk21_0,X3)|~apply(esk19_0,X3,X1)|~member(X3,esk22_0)|~member(X1,esk21_0)|~member(X3,X2)|~maps(esk20_0,X2,esk21_0)),inference(spm,[status(thm)],[2482,94,theory(equality)])).
% cnf(2486,negated_conjecture,(esk15_4(X1,esk19_0,X2,X3)=esk8_4(esk20_0,X4,esk21_0,esk13_4(X1,esk19_0,X2,X3))|equal_maps(X1,esk19_0,X2,X3)|~member(esk13_4(X1,esk19_0,X2,X3),esk22_0)|~member(esk15_4(X1,esk19_0,X2,X3),esk21_0)|~member(esk13_4(X1,esk19_0,X2,X3),X4)|~maps(esk20_0,X4,esk21_0)),inference(spm,[status(thm)],[2484,64,theory(equality)])).
% cnf(2487,negated_conjecture,(esk14_4(esk19_0,X1,X2,X3)=esk8_4(esk20_0,X4,esk21_0,esk13_4(esk19_0,X1,X2,X3))|equal_maps(esk19_0,X1,X2,X3)|~member(esk13_4(esk19_0,X1,X2,X3),esk22_0)|~member(esk14_4(esk19_0,X1,X2,X3),esk21_0)|~member(esk13_4(esk19_0,X1,X2,X3),X4)|~maps(esk20_0,X4,esk21_0)),inference(spm,[status(thm)],[2484,65,theory(equality)])).
% cnf(2494,negated_conjecture,(esk8_4(esk19_0,X1,X2,X3)=esk8_4(esk20_0,X4,esk21_0,X3)|~member(X3,esk22_0)|~member(esk8_4(esk19_0,X1,X2,X3),esk21_0)|~member(X3,X4)|~maps(esk20_0,X4,esk21_0)|~member(X3,X1)|~maps(esk19_0,X1,X2)),inference(spm,[status(thm)],[2484,43,theory(equality)])).
% cnf(2656,negated_conjecture,(esk8_4(esk19_0,X1,esk21_0,X2)=esk8_4(esk20_0,X3,esk21_0,X2)|~member(X2,esk22_0)|~member(X2,X3)|~member(X2,X1)|~maps(esk20_0,X3,esk21_0)|~maps(esk19_0,X1,esk21_0)),inference(spm,[status(thm)],[2494,44,theory(equality)])).
% cnf(2660,negated_conjecture,(apply(esk20_0,X1,esk8_4(esk19_0,X3,esk21_0,X1))|~member(X1,X2)|~maps(esk20_0,X2,esk21_0)|~member(X1,esk22_0)|~member(X1,X3)|~maps(esk19_0,X3,esk21_0)),inference(spm,[status(thm)],[43,2656,theory(equality)])).
% cnf(2723,negated_conjecture,(apply(esk20_0,X1,esk8_4(esk19_0,X2,esk21_0,X1))|~member(X1,esk22_0)|~member(X1,X2)|~maps(esk19_0,X2,esk21_0)),inference(spm,[status(thm)],[2660,93,theory(equality)])).
% cnf(2755,negated_conjecture,(X1=esk8_4(esk19_0,X2,esk21_0,X3)|~apply(esk20_0,X3,X1)|~member(X3,X4)|~member(esk8_4(esk19_0,X2,esk21_0,X3),X5)|~member(X1,X5)|~maps(esk20_0,X4,X5)|~member(X3,esk22_0)|~member(X3,X2)|~maps(esk19_0,X2,esk21_0)),inference(spm,[status(thm)],[45,2723,theory(equality)])).
% cnf(3278,negated_conjecture,(esk14_4(esk19_0,esk19_0,X2,X3)=esk15_4(esk19_0,esk19_0,X2,X3)|equal_maps(esk19_0,esk19_0,X2,X3)|~member(esk13_4(esk19_0,esk19_0,X2,X3),esk22_0)|~member(esk15_4(esk19_0,esk19_0,X2,X3),esk21_0)|~member(esk13_4(esk19_0,esk19_0,X2,X3),X1)|~maps(esk20_0,X1,esk21_0)|~member(esk14_4(esk19_0,esk19_0,X2,X3),esk21_0)),inference(spm,[status(thm)],[2486,2487,theory(equality)])).
% cnf(3759,negated_conjecture,(equal_maps(esk19_0,esk19_0,X2,X3)|~member(esk13_4(esk19_0,esk19_0,X2,X3),esk22_0)|~member(esk15_4(esk19_0,esk19_0,X2,X3),esk21_0)|~member(esk14_4(esk19_0,esk19_0,X2,X3),esk21_0)|~member(esk13_4(esk19_0,esk19_0,X2,X3),X1)|~maps(esk20_0,X1,esk21_0)),inference(csr,[status(thm)],[3278,63])).
% cnf(3760,negated_conjecture,(equal_maps(esk19_0,esk19_0,X1,esk21_0)|~member(esk13_4(esk19_0,esk19_0,X1,esk21_0),esk22_0)|~member(esk14_4(esk19_0,esk19_0,X1,esk21_0),esk21_0)|~member(esk13_4(esk19_0,esk19_0,X1,esk21_0),X2)|~maps(esk20_0,X2,esk21_0)),inference(spm,[status(thm)],[3759,66,theory(equality)])).
% cnf(3761,negated_conjecture,(equal_maps(esk19_0,esk19_0,X1,esk21_0)|~member(esk13_4(esk19_0,esk19_0,X1,esk21_0),esk22_0)|~member(esk13_4(esk19_0,esk19_0,X1,esk21_0),X2)|~maps(esk20_0,X2,esk21_0)),inference(csr,[status(thm)],[3760,67])).
% cnf(3762,negated_conjecture,(equal_maps(esk19_0,esk19_0,esk22_0,esk21_0)|~member(esk13_4(esk19_0,esk19_0,esk22_0,esk21_0),X1)|~maps(esk20_0,X1,esk21_0)),inference(spm,[status(thm)],[3761,68,theory(equality)])).
% cnf(3763,negated_conjecture,(equal_maps(esk19_0,esk19_0,esk22_0,esk21_0)|~maps(esk20_0,esk22_0,esk21_0)),inference(spm,[status(thm)],[3762,68,theory(equality)])).
% cnf(3764,negated_conjecture,(equal_maps(esk19_0,esk19_0,esk22_0,esk21_0)|$false),inference(rw,[status(thm)],[3763,93,theory(equality)])).
% cnf(3765,negated_conjecture,(equal_maps(esk19_0,esk19_0,esk22_0,esk21_0)),inference(cn,[status(thm)],[3764,theory(equality)])).
% cnf(3766,negated_conjecture,(X1=X2|~apply(esk19_0,X3,X2)|~apply(esk19_0,X3,X1)|~member(X3,esk22_0)|~member(X2,esk21_0)|~member(X1,esk21_0)),inference(spm,[status(thm)],[69,3765,theory(equality)])).
% cnf(3777,negated_conjecture,(X1=esk8_4(esk19_0,X2,X3,X4)|~apply(esk19_0,X4,X1)|~member(X4,esk22_0)|~member(esk8_4(esk19_0,X2,X3,X4),esk21_0)|~member(X1,esk21_0)|~member(X4,X2)|~maps(esk19_0,X2,X3)),inference(spm,[status(thm)],[3766,43,theory(equality)])).
% cnf(3814,negated_conjecture,(X1=esk8_4(esk19_0,X2,esk21_0,X3)|~apply(esk19_0,X3,X1)|~member(X3,esk22_0)|~member(X1,esk21_0)|~member(X3,X2)|~maps(esk19_0,X2,esk21_0)),inference(spm,[status(thm)],[3777,44,theory(equality)])).
% cnf(3820,negated_conjecture,(esk14_4(esk19_0,X1,X2,X3)=esk8_4(esk19_0,X4,esk21_0,esk13_4(esk19_0,X1,X2,X3))|equal_maps(esk19_0,X1,X2,X3)|~member(esk13_4(esk19_0,X1,X2,X3),esk22_0)|~member(esk14_4(esk19_0,X1,X2,X3),esk21_0)|~member(esk13_4(esk19_0,X1,X2,X3),X4)|~maps(esk19_0,X4,esk21_0)),inference(spm,[status(thm)],[3814,65,theory(equality)])).
% cnf(4443,negated_conjecture,(X1=esk8_4(esk19_0,X2,esk21_0,X3)|~apply(esk20_0,X3,X1)|~member(X3,esk22_0)|~member(X3,X4)|~member(X1,esk21_0)|~member(X3,X2)|~maps(esk19_0,X2,esk21_0)|~maps(esk20_0,X4,esk21_0)),inference(spm,[status(thm)],[2755,44,theory(equality)])).
% cnf(4445,negated_conjecture,(X1=esk8_4(esk19_0,X2,esk21_0,X3)|~apply(esk20_0,X3,X1)|~member(X3,esk22_0)|~member(X1,esk21_0)|~member(X3,X2)|~maps(esk19_0,X2,esk21_0)),inference(spm,[status(thm)],[4443,93,theory(equality)])).
% cnf(4447,negated_conjecture,(esk15_4(X1,esk20_0,X2,X3)=esk8_4(esk19_0,X4,esk21_0,esk13_4(X1,esk20_0,X2,X3))|equal_maps(X1,esk20_0,X2,X3)|~member(esk13_4(X1,esk20_0,X2,X3),esk22_0)|~member(esk15_4(X1,esk20_0,X2,X3),esk21_0)|~member(esk13_4(X1,esk20_0,X2,X3),X4)|~maps(esk19_0,X4,esk21_0)),inference(spm,[status(thm)],[4445,64,theory(equality)])).
% cnf(5197,negated_conjecture,(esk15_4(esk19_0,esk20_0,X2,X3)=esk14_4(esk19_0,esk20_0,X2,X3)|equal_maps(esk19_0,esk20_0,X2,X3)|~member(esk13_4(esk19_0,esk20_0,X2,X3),esk22_0)|~member(esk14_4(esk19_0,esk20_0,X2,X3),esk21_0)|~member(esk13_4(esk19_0,esk20_0,X2,X3),X1)|~maps(esk19_0,X1,esk21_0)|~member(esk15_4(esk19_0,esk20_0,X2,X3),esk21_0)),inference(spm,[status(thm)],[3820,4447,theory(equality)])).
% cnf(5727,negated_conjecture,(equal_maps(esk19_0,esk20_0,X2,X3)|~member(esk13_4(esk19_0,esk20_0,X2,X3),esk22_0)|~member(esk14_4(esk19_0,esk20_0,X2,X3),esk21_0)|~member(esk15_4(esk19_0,esk20_0,X2,X3),esk21_0)|~member(esk13_4(esk19_0,esk20_0,X2,X3),X1)|~maps(esk19_0,X1,esk21_0)),inference(csr,[status(thm)],[5197,63])).
% cnf(5728,negated_conjecture,(equal_maps(esk19_0,esk20_0,X1,esk21_0)|~member(esk13_4(esk19_0,esk20_0,X1,esk21_0),esk22_0)|~member(esk14_4(esk19_0,esk20_0,X1,esk21_0),esk21_0)|~member(esk13_4(esk19_0,esk20_0,X1,esk21_0),X2)|~maps(esk19_0,X2,esk21_0)),inference(spm,[status(thm)],[5727,66,theory(equality)])).
% cnf(5729,negated_conjecture,(equal_maps(esk19_0,esk20_0,X1,esk21_0)|~member(esk13_4(esk19_0,esk20_0,X1,esk21_0),esk22_0)|~member(esk13_4(esk19_0,esk20_0,X1,esk21_0),X2)|~maps(esk19_0,X2,esk21_0)),inference(csr,[status(thm)],[5728,67])).
% cnf(5730,negated_conjecture,(equal_maps(esk19_0,esk20_0,esk22_0,esk21_0)|~member(esk13_4(esk19_0,esk20_0,esk22_0,esk21_0),X1)|~maps(esk19_0,X1,esk21_0)),inference(spm,[status(thm)],[5729,68,theory(equality)])).
% cnf(5731,negated_conjecture,(~member(esk13_4(esk19_0,esk20_0,esk22_0,esk21_0),X1)|~maps(esk19_0,X1,esk21_0)),inference(sr,[status(thm)],[5730,90,theory(equality)])).
% cnf(5755,negated_conjecture,(equal_maps(esk19_0,esk20_0,esk22_0,esk21_0)|~maps(esk19_0,esk22_0,esk21_0)),inference(spm,[status(thm)],[5731,68,theory(equality)])).
% cnf(5756,negated_conjecture,(equal_maps(esk19_0,esk20_0,esk22_0,esk21_0)|$false),inference(rw,[status(thm)],[5755,94,theory(equality)])).
% cnf(5757,negated_conjecture,(equal_maps(esk19_0,esk20_0,esk22_0,esk21_0)),inference(cn,[status(thm)],[5756,theory(equality)])).
% cnf(5758,negated_conjecture,($false),inference(sr,[status(thm)],[5757,90,theory(equality)])).
% cnf(5759,negated_conjecture,($false),5758,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 1052
% # ...of these trivial                : 0
% # ...subsumed                        : 410
% # ...remaining for further processing: 642
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 58
% # Backward-rewritten                 : 1
% # Generated clauses                  : 4592
% # ...of the previous two non-trivial : 4425
% # Contextual simplify-reflections    : 956
% # Paramodulations                    : 4592
% # Factorizations                     : 0
% # Equation resolutions               : 0
% # Current number of processed clauses: 529
% #    Positive orientable unit clauses: 9
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 519
% # Current number of unprocessed clauses: 3326
% # ...number of literals in the above : 34049
% # Clause-clause subsumption calls (NU) : 18724
% # Rec. Clause-clause subsumption calls : 3081
% # Unit Clause-clause subsumption calls : 6
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 7
% # Indexed BW rewrite successes       : 1
% # Backwards rewriting index:   440 leaves,   3.37+/-5.144 terms/leaf
% # Paramod-from index:          102 leaves,   1.73+/-2.356 terms/leaf
% # Paramod-into index:          292 leaves,   2.23+/-2.622 terms/leaf
% # -------------------------------------------------
% # User time              : 0.526 s
% # System time            : 0.025 s
% # Total time             : 0.551 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.78 CPU 0.87 WC
% FINAL PrfWatch: 0.78 CPU 0.87 WC
% SZS output end Solution for /tmp/SystemOnTPTP7166/SET728+4.tptp
% 
%------------------------------------------------------------------------------