%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET733+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 : art05.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 23:46:17 EST 2010
% Result : Theorem 94.62s
% Output : Solution 94.93s
% 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/SystemOnTPTP18254/SET733+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~thII24:
% ---- 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 ... maps:
% CSA axiom maps found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... injective:
% CSA axiom injective found
% Looking for CSA axiom ... one_to_one:
% CSA axiom one_to_one found
% Looking for CSA axiom ... equal_maps:
% CSA axiom equal_maps found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :equal_maps:one_to_one:injective:maps:identity:compose_function (6)
% Unselected axioms are ... :isomorphism:singleton:unordered_pair:power_set:compose_predicate:surjective: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/SystemOnTPTP18254/SET733+4.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP18254/SET733+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 19583
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 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]:![X3]:![X4]:(injective(X1,X3,X4)<=>![X8]:![X9]:![X10]:(((member(X8,X3)&member(X9,X3))&member(X10,X4))=>((apply(X1,X8,X10)&apply(X1,X9,X10))=>X8=X9))),file('/tmp/SRASS.s.p', injective)).
% fof(4, axiom,![X1]:![X3]:![X4]:(maps(X1,X3,X4)<=>(![X5]:(member(X5,X3)=>?[X10]:(member(X10,X4)&apply(X1,X5,X10)))&![X5]:![X6]:![X7]:(((member(X5,X3)&member(X6,X4))&member(X7,X4))=>((apply(X1,X5,X6)&apply(X1,X5,X7))=>X6=X7)))),file('/tmp/SRASS.s.p', maps)).
% fof(5, axiom,![X1]:![X3]:(identity(X1,X3)<=>![X5]:(member(X5,X3)=>apply(X1,X5,X5))),file('/tmp/SRASS.s.p', identity)).
% fof(6, axiom,![X2]:![X1]:![X3]:![X4]:![X11]:![X5]:![X12]:((member(X5,X3)&member(X12,X11))=>(apply(compose_function(X2,X1,X3,X4,X11),X5,X12)<=>?[X10]:((member(X10,X4)&apply(X1,X5,X10))&apply(X2,X10,X12)))),file('/tmp/SRASS.s.p', compose_function)).
% fof(7, conjecture,![X1]:![X2]:![X3]:![X4]:(((maps(X1,X3,X4)&maps(X2,X4,X3))&identity(compose_function(X2,X1,X3,X4,X3),X3))=>injective(X1,X3,X4)),file('/tmp/SRASS.s.p', thII24)).
% fof(8, negated_conjecture,~(![X1]:![X2]:![X3]:![X4]:(((maps(X1,X3,X4)&maps(X2,X4,X3))&identity(compose_function(X2,X1,X3,X4,X3),X3))=>injective(X1,X3,X4))),inference(assume_negation,[status(cth)],[7])).
% fof(27, plain,![X1]:![X3]:![X4]:((~(injective(X1,X3,X4))|![X8]:![X9]:![X10]:(((~(member(X8,X3))|~(member(X9,X3)))|~(member(X10,X4)))|((~(apply(X1,X8,X10))|~(apply(X1,X9,X10)))|X8=X9)))&(?[X8]:?[X9]:?[X10]:(((member(X8,X3)&member(X9,X3))&member(X10,X4))&((apply(X1,X8,X10)&apply(X1,X9,X10))&~(X8=X9)))|injective(X1,X3,X4))),inference(fof_nnf,[status(thm)],[3])).
% fof(28, plain,![X11]:![X12]:![X13]:((~(injective(X11,X12,X13))|![X14]:![X15]:![X16]:(((~(member(X14,X12))|~(member(X15,X12)))|~(member(X16,X13)))|((~(apply(X11,X14,X16))|~(apply(X11,X15,X16)))|X14=X15)))&(?[X17]:?[X18]:?[X19]:(((member(X17,X12)&member(X18,X12))&member(X19,X13))&((apply(X11,X17,X19)&apply(X11,X18,X19))&~(X17=X18)))|injective(X11,X12,X13))),inference(variable_rename,[status(thm)],[27])).
% fof(29, plain,![X11]:![X12]:![X13]:((~(injective(X11,X12,X13))|![X14]:![X15]:![X16]:(((~(member(X14,X12))|~(member(X15,X12)))|~(member(X16,X13)))|((~(apply(X11,X14,X16))|~(apply(X11,X15,X16)))|X14=X15)))&((((member(esk4_3(X11,X12,X13),X12)&member(esk5_3(X11,X12,X13),X12))&member(esk6_3(X11,X12,X13),X13))&((apply(X11,esk4_3(X11,X12,X13),esk6_3(X11,X12,X13))&apply(X11,esk5_3(X11,X12,X13),esk6_3(X11,X12,X13)))&~(esk4_3(X11,X12,X13)=esk5_3(X11,X12,X13))))|injective(X11,X12,X13))),inference(skolemize,[status(esa)],[28])).
% fof(30, plain,![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:(((((~(member(X14,X12))|~(member(X15,X12)))|~(member(X16,X13)))|((~(apply(X11,X14,X16))|~(apply(X11,X15,X16)))|X14=X15))|~(injective(X11,X12,X13)))&((((member(esk4_3(X11,X12,X13),X12)&member(esk5_3(X11,X12,X13),X12))&member(esk6_3(X11,X12,X13),X13))&((apply(X11,esk4_3(X11,X12,X13),esk6_3(X11,X12,X13))&apply(X11,esk5_3(X11,X12,X13),esk6_3(X11,X12,X13)))&~(esk4_3(X11,X12,X13)=esk5_3(X11,X12,X13))))|injective(X11,X12,X13))),inference(shift_quantors,[status(thm)],[29])).
% fof(31, plain,![X11]:![X12]:![X13]:![X14]:![X15]:![X16]:(((((~(member(X14,X12))|~(member(X15,X12)))|~(member(X16,X13)))|((~(apply(X11,X14,X16))|~(apply(X11,X15,X16)))|X14=X15))|~(injective(X11,X12,X13)))&((((member(esk4_3(X11,X12,X13),X12)|injective(X11,X12,X13))&(member(esk5_3(X11,X12,X13),X12)|injective(X11,X12,X13)))&(member(esk6_3(X11,X12,X13),X13)|injective(X11,X12,X13)))&(((apply(X11,esk4_3(X11,X12,X13),esk6_3(X11,X12,X13))|injective(X11,X12,X13))&(apply(X11,esk5_3(X11,X12,X13),esk6_3(X11,X12,X13))|injective(X11,X12,X13)))&(~(esk4_3(X11,X12,X13)=esk5_3(X11,X12,X13))|injective(X11,X12,X13))))),inference(distribute,[status(thm)],[30])).
% cnf(32,plain,(injective(X1,X2,X3)|esk4_3(X1,X2,X3)!=esk5_3(X1,X2,X3)),inference(split_conjunct,[status(thm)],[31])).
% cnf(33,plain,(injective(X1,X2,X3)|apply(X1,esk5_3(X1,X2,X3),esk6_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[31])).
% cnf(34,plain,(injective(X1,X2,X3)|apply(X1,esk4_3(X1,X2,X3),esk6_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[31])).
% cnf(35,plain,(injective(X1,X2,X3)|member(esk6_3(X1,X2,X3),X3)),inference(split_conjunct,[status(thm)],[31])).
% cnf(36,plain,(injective(X1,X2,X3)|member(esk5_3(X1,X2,X3),X2)),inference(split_conjunct,[status(thm)],[31])).
% cnf(37,plain,(injective(X1,X2,X3)|member(esk4_3(X1,X2,X3),X2)),inference(split_conjunct,[status(thm)],[31])).
% fof(39, plain,![X1]:![X3]:![X4]:((~(maps(X1,X3,X4))|(![X5]:(~(member(X5,X3))|?[X10]:(member(X10,X4)&apply(X1,X5,X10)))&![X5]:![X6]:![X7]:(((~(member(X5,X3))|~(member(X6,X4)))|~(member(X7,X4)))|((~(apply(X1,X5,X6))|~(apply(X1,X5,X7)))|X6=X7))))&((?[X5]:(member(X5,X3)&![X10]:(~(member(X10,X4))|~(apply(X1,X5,X10))))|?[X5]:?[X6]:?[X7]:(((member(X5,X3)&member(X6,X4))&member(X7,X4))&((apply(X1,X5,X6)&apply(X1,X5,X7))&~(X6=X7))))|maps(X1,X3,X4))),inference(fof_nnf,[status(thm)],[4])).
% fof(40, plain,![X11]:![X12]:![X13]:((~(maps(X11,X12,X13))|(![X14]:(~(member(X14,X12))|?[X15]:(member(X15,X13)&apply(X11,X14,X15)))&![X16]:![X17]:![X18]:(((~(member(X16,X12))|~(member(X17,X13)))|~(member(X18,X13)))|((~(apply(X11,X16,X17))|~(apply(X11,X16,X18)))|X17=X18))))&((?[X19]:(member(X19,X12)&![X20]:(~(member(X20,X13))|~(apply(X11,X19,X20))))|?[X21]:?[X22]:?[X23]:(((member(X21,X12)&member(X22,X13))&member(X23,X13))&((apply(X11,X21,X22)&apply(X11,X21,X23))&~(X22=X23))))|maps(X11,X12,X13))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X11]:![X12]:![X13]:((~(maps(X11,X12,X13))|(![X14]:(~(member(X14,X12))|(member(esk7_4(X11,X12,X13,X14),X13)&apply(X11,X14,esk7_4(X11,X12,X13,X14))))&![X16]:![X17]:![X18]:(((~(member(X16,X12))|~(member(X17,X13)))|~(member(X18,X13)))|((~(apply(X11,X16,X17))|~(apply(X11,X16,X18)))|X17=X18))))&(((member(esk8_3(X11,X12,X13),X12)&![X20]:(~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20))))|(((member(esk9_3(X11,X12,X13),X12)&member(esk10_3(X11,X12,X13),X13))&member(esk11_3(X11,X12,X13),X13))&((apply(X11,esk9_3(X11,X12,X13),esk10_3(X11,X12,X13))&apply(X11,esk9_3(X11,X12,X13),esk11_3(X11,X12,X13)))&~(esk10_3(X11,X12,X13)=esk11_3(X11,X12,X13)))))|maps(X11,X12,X13))),inference(skolemize,[status(esa)],[40])).
% fof(42, plain,![X11]:![X12]:![X13]:![X14]:![X16]:![X17]:![X18]:![X20]:(((((~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20)))&member(esk8_3(X11,X12,X13),X12))|(((member(esk9_3(X11,X12,X13),X12)&member(esk10_3(X11,X12,X13),X13))&member(esk11_3(X11,X12,X13),X13))&((apply(X11,esk9_3(X11,X12,X13),esk10_3(X11,X12,X13))&apply(X11,esk9_3(X11,X12,X13),esk11_3(X11,X12,X13)))&~(esk10_3(X11,X12,X13)=esk11_3(X11,X12,X13)))))|maps(X11,X12,X13))&(((((~(member(X16,X12))|~(member(X17,X13)))|~(member(X18,X13)))|((~(apply(X11,X16,X17))|~(apply(X11,X16,X18)))|X17=X18))&(~(member(X14,X12))|(member(esk7_4(X11,X12,X13,X14),X13)&apply(X11,X14,esk7_4(X11,X12,X13,X14)))))|~(maps(X11,X12,X13)))),inference(shift_quantors,[status(thm)],[41])).
% fof(43, plain,![X11]:![X12]:![X13]:![X14]:![X16]:![X17]:![X18]:![X20]:(((((((member(esk9_3(X11,X12,X13),X12)|(~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20))))|maps(X11,X12,X13))&((member(esk10_3(X11,X12,X13),X13)|(~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20))))|maps(X11,X12,X13)))&((member(esk11_3(X11,X12,X13),X13)|(~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20))))|maps(X11,X12,X13)))&((((apply(X11,esk9_3(X11,X12,X13),esk10_3(X11,X12,X13))|(~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20))))|maps(X11,X12,X13))&((apply(X11,esk9_3(X11,X12,X13),esk11_3(X11,X12,X13))|(~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20))))|maps(X11,X12,X13)))&((~(esk10_3(X11,X12,X13)=esk11_3(X11,X12,X13))|(~(member(X20,X13))|~(apply(X11,esk8_3(X11,X12,X13),X20))))|maps(X11,X12,X13))))&(((((member(esk9_3(X11,X12,X13),X12)|member(esk8_3(X11,X12,X13),X12))|maps(X11,X12,X13))&((member(esk10_3(X11,X12,X13),X13)|member(esk8_3(X11,X12,X13),X12))|maps(X11,X12,X13)))&((member(esk11_3(X11,X12,X13),X13)|member(esk8_3(X11,X12,X13),X12))|maps(X11,X12,X13)))&((((apply(X11,esk9_3(X11,X12,X13),esk10_3(X11,X12,X13))|member(esk8_3(X11,X12,X13),X12))|maps(X11,X12,X13))&((apply(X11,esk9_3(X11,X12,X13),esk11_3(X11,X12,X13))|member(esk8_3(X11,X12,X13),X12))|maps(X11,X12,X13)))&((~(esk10_3(X11,X12,X13)=esk11_3(X11,X12,X13))|member(esk8_3(X11,X12,X13),X12))|maps(X11,X12,X13)))))&(((((~(member(X16,X12))|~(member(X17,X13)))|~(member(X18,X13)))|((~(apply(X11,X16,X17))|~(apply(X11,X16,X18)))|X17=X18))|~(maps(X11,X12,X13)))&(((member(esk7_4(X11,X12,X13,X14),X13)|~(member(X14,X12)))|~(maps(X11,X12,X13)))&((apply(X11,X14,esk7_4(X11,X12,X13,X14))|~(member(X14,X12)))|~(maps(X11,X12,X13)))))),inference(distribute,[status(thm)],[42])).
% cnf(44,plain,(apply(X1,X4,esk7_4(X1,X2,X3,X4))|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(45,plain,(member(esk7_4(X1,X2,X3,X4),X3)|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(46,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)],[43])).
% fof(59, plain,![X1]:![X3]:((~(identity(X1,X3))|![X5]:(~(member(X5,X3))|apply(X1,X5,X5)))&(?[X5]:(member(X5,X3)&~(apply(X1,X5,X5)))|identity(X1,X3))),inference(fof_nnf,[status(thm)],[5])).
% fof(60, plain,![X6]:![X7]:((~(identity(X6,X7))|![X8]:(~(member(X8,X7))|apply(X6,X8,X8)))&(?[X9]:(member(X9,X7)&~(apply(X6,X9,X9)))|identity(X6,X7))),inference(variable_rename,[status(thm)],[59])).
% fof(61, plain,![X6]:![X7]:((~(identity(X6,X7))|![X8]:(~(member(X8,X7))|apply(X6,X8,X8)))&((member(esk12_2(X6,X7),X7)&~(apply(X6,esk12_2(X6,X7),esk12_2(X6,X7))))|identity(X6,X7))),inference(skolemize,[status(esa)],[60])).
% fof(62, plain,![X6]:![X7]:![X8]:(((~(member(X8,X7))|apply(X6,X8,X8))|~(identity(X6,X7)))&((member(esk12_2(X6,X7),X7)&~(apply(X6,esk12_2(X6,X7),esk12_2(X6,X7))))|identity(X6,X7))),inference(shift_quantors,[status(thm)],[61])).
% fof(63, plain,![X6]:![X7]:![X8]:(((~(member(X8,X7))|apply(X6,X8,X8))|~(identity(X6,X7)))&((member(esk12_2(X6,X7),X7)|identity(X6,X7))&(~(apply(X6,esk12_2(X6,X7),esk12_2(X6,X7)))|identity(X6,X7)))),inference(distribute,[status(thm)],[62])).
% cnf(66,plain,(apply(X1,X3,X3)|~identity(X1,X2)|~member(X3,X2)),inference(split_conjunct,[status(thm)],[63])).
% fof(67, plain,![X2]:![X1]:![X3]:![X4]:![X11]:![X5]:![X12]:((~(member(X5,X3))|~(member(X12,X11)))|((~(apply(compose_function(X2,X1,X3,X4,X11),X5,X12))|?[X10]:((member(X10,X4)&apply(X1,X5,X10))&apply(X2,X10,X12)))&(![X10]:((~(member(X10,X4))|~(apply(X1,X5,X10)))|~(apply(X2,X10,X12)))|apply(compose_function(X2,X1,X3,X4,X11),X5,X12)))),inference(fof_nnf,[status(thm)],[6])).
% fof(68, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:((~(member(X18,X15))|~(member(X19,X17)))|((~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|?[X20]:((member(X20,X16)&apply(X14,X18,X20))&apply(X13,X20,X19)))&(![X21]:((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))),inference(variable_rename,[status(thm)],[67])).
% fof(69, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:((~(member(X18,X15))|~(member(X19,X17)))|((~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|((member(esk13_7(X13,X14,X15,X16,X17,X18,X19),X16)&apply(X14,X18,esk13_7(X13,X14,X15,X16,X17,X18,X19)))&apply(X13,esk13_7(X13,X14,X15,X16,X17,X18,X19),X19)))&(![X21]:((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))),inference(skolemize,[status(esa)],[68])).
% fof(70, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:![X21]:(((((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19))&(~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|((member(esk13_7(X13,X14,X15,X16,X17,X18,X19),X16)&apply(X14,X18,esk13_7(X13,X14,X15,X16,X17,X18,X19)))&apply(X13,esk13_7(X13,X14,X15,X16,X17,X18,X19),X19))))|(~(member(X18,X15))|~(member(X19,X17)))),inference(shift_quantors,[status(thm)],[69])).
% fof(71, plain,![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:![X21]:(((((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(compose_function(X13,X14,X15,X16,X17),X18,X19))|(~(member(X18,X15))|~(member(X19,X17))))&((((member(esk13_7(X13,X14,X15,X16,X17,X18,X19),X16)|~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))|(~(member(X18,X15))|~(member(X19,X17))))&((apply(X14,X18,esk13_7(X13,X14,X15,X16,X17,X18,X19))|~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))|(~(member(X18,X15))|~(member(X19,X17)))))&((apply(X13,esk13_7(X13,X14,X15,X16,X17,X18,X19),X19)|~(apply(compose_function(X13,X14,X15,X16,X17),X18,X19)))|(~(member(X18,X15))|~(member(X19,X17)))))),inference(distribute,[status(thm)],[70])).
% cnf(72,plain,(apply(X5,esk13_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)],[71])).
% cnf(73,plain,(apply(X6,X3,esk13_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)],[71])).
% cnf(74,plain,(member(esk13_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)],[71])).
% fof(76, negated_conjecture,?[X1]:?[X2]:?[X3]:?[X4]:(((maps(X1,X3,X4)&maps(X2,X4,X3))&identity(compose_function(X2,X1,X3,X4,X3),X3))&~(injective(X1,X3,X4))),inference(fof_nnf,[status(thm)],[8])).
% fof(77, negated_conjecture,?[X5]:?[X6]:?[X7]:?[X8]:(((maps(X5,X7,X8)&maps(X6,X8,X7))&identity(compose_function(X6,X5,X7,X8,X7),X7))&~(injective(X5,X7,X8))),inference(variable_rename,[status(thm)],[76])).
% fof(78, negated_conjecture,(((maps(esk14_0,esk16_0,esk17_0)&maps(esk15_0,esk17_0,esk16_0))&identity(compose_function(esk15_0,esk14_0,esk16_0,esk17_0,esk16_0),esk16_0))&~(injective(esk14_0,esk16_0,esk17_0))),inference(skolemize,[status(esa)],[77])).
% cnf(79,negated_conjecture,(~injective(esk14_0,esk16_0,esk17_0)),inference(split_conjunct,[status(thm)],[78])).
% cnf(80,negated_conjecture,(identity(compose_function(esk15_0,esk14_0,esk16_0,esk17_0,esk16_0),esk16_0)),inference(split_conjunct,[status(thm)],[78])).
% cnf(81,negated_conjecture,(maps(esk15_0,esk17_0,esk16_0)),inference(split_conjunct,[status(thm)],[78])).
% cnf(82,negated_conjecture,(maps(esk14_0,esk16_0,esk17_0)),inference(split_conjunct,[status(thm)],[78])).
% cnf(83,negated_conjecture,(apply(compose_function(esk15_0,esk14_0,esk16_0,esk17_0,esk16_0),X1,X1)|~member(X1,esk16_0)),inference(spm,[status(thm)],[66,80,theory(equality)])).
% cnf(89,negated_conjecture,(X1=X2|~apply(esk15_0,X3,X2)|~apply(esk15_0,X3,X1)|~member(X3,esk17_0)|~member(X2,esk16_0)|~member(X1,esk16_0)),inference(spm,[status(thm)],[46,81,theory(equality)])).
% cnf(90,negated_conjecture,(X1=X2|~apply(esk14_0,X3,X2)|~apply(esk14_0,X3,X1)|~member(X3,esk16_0)|~member(X2,esk17_0)|~member(X1,esk17_0)),inference(spm,[status(thm)],[46,82,theory(equality)])).
% cnf(135,negated_conjecture,(X1=esk7_4(esk14_0,X2,X3,X4)|~apply(esk14_0,X4,X1)|~member(X4,esk16_0)|~member(esk7_4(esk14_0,X2,X3,X4),esk17_0)|~member(X1,esk17_0)|~maps(esk14_0,X2,X3)|~member(X4,X2)),inference(spm,[status(thm)],[90,44,theory(equality)])).
% cnf(136,negated_conjecture,(X1=esk13_7(X2,esk14_0,X3,X4,X5,X6,X7)|~apply(esk14_0,X6,X1)|~member(X6,esk16_0)|~member(esk13_7(X2,esk14_0,X3,X4,X5,X6,X7),esk17_0)|~member(X1,esk17_0)|~apply(compose_function(X2,esk14_0,X3,X4,X5),X6,X7)|~member(X6,X3)|~member(X7,X5)),inference(spm,[status(thm)],[90,73,theory(equality)])).
% cnf(177,negated_conjecture,(X1=esk7_4(esk14_0,X2,esk17_0,X3)|~maps(esk14_0,X2,esk17_0)|~apply(esk14_0,X3,X1)|~member(X3,esk16_0)|~member(X1,esk17_0)|~member(X3,X2)),inference(spm,[status(thm)],[135,45,theory(equality)])).
% cnf(181,negated_conjecture,(esk6_3(esk14_0,X1,X2)=esk7_4(esk14_0,X3,esk17_0,esk5_3(esk14_0,X1,X2))|injective(esk14_0,X1,X2)|~maps(esk14_0,X3,esk17_0)|~member(esk5_3(esk14_0,X1,X2),esk16_0)|~member(esk6_3(esk14_0,X1,X2),esk17_0)|~member(esk5_3(esk14_0,X1,X2),X3)),inference(spm,[status(thm)],[177,33,theory(equality)])).
% cnf(182,negated_conjecture,(esk6_3(esk14_0,X1,X2)=esk7_4(esk14_0,X3,esk17_0,esk4_3(esk14_0,X1,X2))|injective(esk14_0,X1,X2)|~maps(esk14_0,X3,esk17_0)|~member(esk4_3(esk14_0,X1,X2),esk16_0)|~member(esk6_3(esk14_0,X1,X2),esk17_0)|~member(esk4_3(esk14_0,X1,X2),X3)),inference(spm,[status(thm)],[177,34,theory(equality)])).
% cnf(705,negated_conjecture,(X1=esk13_7(X2,esk14_0,X3,esk17_0,X4,X5,X6)|~apply(compose_function(X2,esk14_0,X3,esk17_0,X4),X5,X6)|~apply(esk14_0,X5,X1)|~member(X5,esk16_0)|~member(X1,esk17_0)|~member(X5,X3)|~member(X6,X4)),inference(spm,[status(thm)],[136,74,theory(equality)])).
% cnf(713,negated_conjecture,(esk7_4(esk14_0,X1,X2,X3)=esk13_7(X4,esk14_0,X5,esk17_0,X6,X3,X7)|~apply(compose_function(X4,esk14_0,X5,esk17_0,X6),X3,X7)|~member(X3,esk16_0)|~member(esk7_4(esk14_0,X1,X2,X3),esk17_0)|~member(X3,X5)|~member(X7,X6)|~maps(esk14_0,X1,X2)|~member(X3,X1)),inference(spm,[status(thm)],[705,44,theory(equality)])).
% cnf(920,negated_conjecture,(esk7_4(esk14_0,X1,esk17_0,X2)=esk13_7(X3,esk14_0,X4,esk17_0,X5,X2,X6)|~maps(esk14_0,X1,esk17_0)|~apply(compose_function(X3,esk14_0,X4,esk17_0,X5),X2,X6)|~member(X2,esk16_0)|~member(X2,X4)|~member(X6,X5)|~member(X2,X1)),inference(spm,[status(thm)],[713,45,theory(equality)])).
% cnf(924,negated_conjecture,(apply(X1,esk7_4(esk14_0,X6,esk17_0,X4),X5)|~apply(compose_function(X1,esk14_0,X2,esk17_0,X3),X4,X5)|~member(X4,X2)|~member(X5,X3)|~maps(esk14_0,X6,esk17_0)|~member(X4,esk16_0)|~member(X4,X6)),inference(spm,[status(thm)],[72,920,theory(equality)])).
% cnf(989,negated_conjecture,(apply(esk15_0,esk7_4(esk14_0,X1,esk17_0,X2),X2)|~maps(esk14_0,X1,esk17_0)|~member(X2,esk16_0)|~member(X2,X1)),inference(spm,[status(thm)],[924,83,theory(equality)])).
% cnf(996,negated_conjecture,(apply(esk15_0,esk6_3(esk14_0,X2,X3),esk5_3(esk14_0,X2,X3))|injective(esk14_0,X2,X3)|~maps(esk14_0,X1,esk17_0)|~member(esk5_3(esk14_0,X2,X3),esk16_0)|~member(esk5_3(esk14_0,X2,X3),X1)|~member(esk6_3(esk14_0,X2,X3),esk17_0)),inference(spm,[status(thm)],[989,181,theory(equality)])).
% cnf(997,negated_conjecture,(apply(esk15_0,esk6_3(esk14_0,X2,X3),esk4_3(esk14_0,X2,X3))|injective(esk14_0,X2,X3)|~maps(esk14_0,X1,esk17_0)|~member(esk4_3(esk14_0,X2,X3),esk16_0)|~member(esk4_3(esk14_0,X2,X3),X1)|~member(esk6_3(esk14_0,X2,X3),esk17_0)),inference(spm,[status(thm)],[989,182,theory(equality)])).
% cnf(1118,negated_conjecture,(injective(esk14_0,X1,X2)|apply(esk15_0,esk6_3(esk14_0,X1,X2),esk5_3(esk14_0,X1,X2))|~maps(esk14_0,X1,esk17_0)|~member(esk5_3(esk14_0,X1,X2),esk16_0)|~member(esk6_3(esk14_0,X1,X2),esk17_0)),inference(spm,[status(thm)],[996,36,theory(equality)])).
% cnf(1120,negated_conjecture,(X1=esk5_3(esk14_0,X2,X3)|injective(esk14_0,X2,X3)|~apply(esk15_0,esk6_3(esk14_0,X2,X3),X1)|~member(esk6_3(esk14_0,X2,X3),esk17_0)|~member(esk5_3(esk14_0,X2,X3),esk16_0)|~member(X1,esk16_0)|~maps(esk14_0,X2,esk17_0)),inference(spm,[status(thm)],[89,1118,theory(equality)])).
% cnf(1134,negated_conjecture,(injective(esk14_0,X1,X2)|apply(esk15_0,esk6_3(esk14_0,X1,X2),esk4_3(esk14_0,X1,X2))|~maps(esk14_0,X1,esk17_0)|~member(esk4_3(esk14_0,X1,X2),esk16_0)|~member(esk6_3(esk14_0,X1,X2),esk17_0)),inference(spm,[status(thm)],[997,37,theory(equality)])).
% cnf(1139,negated_conjecture,(esk4_3(esk14_0,X1,X2)=esk5_3(esk14_0,X1,X2)|injective(esk14_0,X1,X2)|~maps(esk14_0,X1,esk17_0)|~member(esk6_3(esk14_0,X1,X2),esk17_0)|~member(esk5_3(esk14_0,X1,X2),esk16_0)|~member(esk4_3(esk14_0,X1,X2),esk16_0)),inference(spm,[status(thm)],[1120,1134,theory(equality)])).
% cnf(1140,negated_conjecture,(injective(esk14_0,X1,X2)|~maps(esk14_0,X1,esk17_0)|~member(esk6_3(esk14_0,X1,X2),esk17_0)|~member(esk5_3(esk14_0,X1,X2),esk16_0)|~member(esk4_3(esk14_0,X1,X2),esk16_0)),inference(csr,[status(thm)],[1139,32])).
% cnf(1141,negated_conjecture,(injective(esk14_0,X1,esk17_0)|~maps(esk14_0,X1,esk17_0)|~member(esk5_3(esk14_0,X1,esk17_0),esk16_0)|~member(esk4_3(esk14_0,X1,esk17_0),esk16_0)),inference(spm,[status(thm)],[1140,35,theory(equality)])).
% cnf(1142,negated_conjecture,(injective(esk14_0,esk16_0,esk17_0)|~maps(esk14_0,esk16_0,esk17_0)|~member(esk4_3(esk14_0,esk16_0,esk17_0),esk16_0)),inference(spm,[status(thm)],[1141,36,theory(equality)])).
% cnf(1143,negated_conjecture,(injective(esk14_0,esk16_0,esk17_0)|$false|~member(esk4_3(esk14_0,esk16_0,esk17_0),esk16_0)),inference(rw,[status(thm)],[1142,82,theory(equality)])).
% cnf(1144,negated_conjecture,(injective(esk14_0,esk16_0,esk17_0)|~member(esk4_3(esk14_0,esk16_0,esk17_0),esk16_0)),inference(cn,[status(thm)],[1143,theory(equality)])).
% cnf(1145,negated_conjecture,(~member(esk4_3(esk14_0,esk16_0,esk17_0),esk16_0)),inference(sr,[status(thm)],[1144,79,theory(equality)])).
% cnf(1152,negated_conjecture,(injective(esk14_0,esk16_0,esk17_0)),inference(spm,[status(thm)],[1145,37,theory(equality)])).
% cnf(1153,negated_conjecture,($false),inference(sr,[status(thm)],[1152,79,theory(equality)])).
% cnf(1154,negated_conjecture,($false),1153,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 352
% # ...of these trivial : 0
% # ...subsumed : 100
% # ...remaining for further processing: 252
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 5
% # Backward-rewritten : 0
% # Generated clauses : 771
% # ...of the previous two non-trivial : 724
% # Contextual simplify-reflections : 277
% # Paramodulations : 771
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 204
% # Positive orientable unit clauses: 5
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 197
% # Current number of unprocessed clauses: 456
% # ...number of literals in the above : 4002
% # Clause-clause subsumption calls (NU) : 2725
% # Rec. Clause-clause subsumption calls : 648
% # Unit Clause-clause subsumption calls : 2
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 246 leaves, 2.53+/-3.310 terms/leaf
% # Paramod-from index: 46 leaves, 1.50+/-1.456 terms/leaf
% # Paramod-into index: 158 leaves, 1.72+/-1.736 terms/leaf
% # -------------------------------------------------
% # User time : 0.111 s
% # System time : 0.005 s
% # Total time : 0.116 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.23 CPU 0.32 WC
% FINAL PrfWatch: 0.23 CPU 0.32 WC
% SZS output end Solution for /tmp/SystemOnTPTP18254/SET733+4.tptp
%
%------------------------------------------------------------------------------