TSTP Solution File: SET708+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET708+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 23:38:23 EST 2010
% Result : Theorem 92.91s
% Output : Solution 93.63s
% 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/SystemOnTPTP31589/SET708+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~thII01a:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... compose_predicate:
% CSA axiom compose_predicate found
% Looking for CSA axiom ... equal_maps:
% CSA axiom equal_maps found
% Looking for CSA axiom ... maps:
% CSA axiom maps found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :maps:equal_maps:compose_predicate (3)
% Unselected axioms are ... :injective:isomorphism:singleton:unordered_pair:power_set:compose_function:identity: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 (25)
% SZS status THM for /tmp/SystemOnTPTP31589/SET708+4.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP31589/SET708+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 393
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:(maps(X1,X2,X3)<=>(![X4]:(member(X4,X2)=>?[X5]:(member(X5,X3)&apply(X1,X4,X5)))&![X4]:![X6]:![X7]:(((member(X4,X2)&member(X6,X3))&member(X7,X3))=>((apply(X1,X4,X6)&apply(X1,X4,X7))=>X6=X7)))),file('/tmp/SRASS.s.p', maps)).
% fof(2, axiom,![X1]:![X8]:![X2]:![X3]:(equal_maps(X1,X8,X2,X3)<=>![X4]:![X6]:![X7]:(((member(X4,X2)&member(X6,X3))&member(X7,X3))=>((apply(X1,X4,X6)&apply(X8,X4,X7))=>X6=X7))),file('/tmp/SRASS.s.p', equal_maps)).
% fof(3, axiom,![X9]:![X8]:![X1]:![X2]:![X3]:![X10]:(compose_predicate(X9,X8,X1,X2,X3,X10)<=>![X4]:![X11]:((member(X4,X2)&member(X11,X10))=>(apply(X9,X4,X11)<=>?[X5]:((member(X5,X3)&apply(X1,X4,X5))&apply(X8,X5,X11))))),file('/tmp/SRASS.s.p', compose_predicate)).
% fof(4, conjecture,![X1]:![X8]:![X12]:![X13]:![X2]:![X3]:![X10]:((((maps(X1,X2,X3)&maps(X8,X3,X10))&compose_predicate(X12,X8,X1,X2,X3,X10))&compose_predicate(X13,X8,X1,X2,X3,X10))=>equal_maps(X12,X13,X2,X10)),file('/tmp/SRASS.s.p', thII01a)).
% fof(5, negated_conjecture,~(![X1]:![X8]:![X12]:![X13]:![X2]:![X3]:![X10]:((((maps(X1,X2,X3)&maps(X8,X3,X10))&compose_predicate(X12,X8,X1,X2,X3,X10))&compose_predicate(X13,X8,X1,X2,X3,X10))=>equal_maps(X12,X13,X2,X10))),inference(assume_negation,[status(cth)],[4])).
% fof(6, plain,![X1]:![X2]:![X3]:((~(maps(X1,X2,X3))|(![X4]:(~(member(X4,X2))|?[X5]:(member(X5,X3)&apply(X1,X4,X5)))&![X4]:![X6]:![X7]:(((~(member(X4,X2))|~(member(X6,X3)))|~(member(X7,X3)))|((~(apply(X1,X4,X6))|~(apply(X1,X4,X7)))|X6=X7))))&((?[X4]:(member(X4,X2)&![X5]:(~(member(X5,X3))|~(apply(X1,X4,X5))))|?[X4]:?[X6]:?[X7]:(((member(X4,X2)&member(X6,X3))&member(X7,X3))&((apply(X1,X4,X6)&apply(X1,X4,X7))&~(X6=X7))))|maps(X1,X2,X3))),inference(fof_nnf,[status(thm)],[1])).
% fof(7, plain,![X8]:![X9]:![X10]:((~(maps(X8,X9,X10))|(![X11]:(~(member(X11,X9))|?[X12]:(member(X12,X10)&apply(X8,X11,X12)))&![X13]:![X14]:![X15]:(((~(member(X13,X9))|~(member(X14,X10)))|~(member(X15,X10)))|((~(apply(X8,X13,X14))|~(apply(X8,X13,X15)))|X14=X15))))&((?[X16]:(member(X16,X9)&![X17]:(~(member(X17,X10))|~(apply(X8,X16,X17))))|?[X18]:?[X19]:?[X20]:(((member(X18,X9)&member(X19,X10))&member(X20,X10))&((apply(X8,X18,X19)&apply(X8,X18,X20))&~(X19=X20))))|maps(X8,X9,X10))),inference(variable_rename,[status(thm)],[6])).
% fof(8, plain,![X8]:![X9]:![X10]:((~(maps(X8,X9,X10))|(![X11]:(~(member(X11,X9))|(member(esk1_4(X8,X9,X10,X11),X10)&apply(X8,X11,esk1_4(X8,X9,X10,X11))))&![X13]:![X14]:![X15]:(((~(member(X13,X9))|~(member(X14,X10)))|~(member(X15,X10)))|((~(apply(X8,X13,X14))|~(apply(X8,X13,X15)))|X14=X15))))&(((member(esk2_3(X8,X9,X10),X9)&![X17]:(~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17))))|(((member(esk3_3(X8,X9,X10),X9)&member(esk4_3(X8,X9,X10),X10))&member(esk5_3(X8,X9,X10),X10))&((apply(X8,esk3_3(X8,X9,X10),esk4_3(X8,X9,X10))&apply(X8,esk3_3(X8,X9,X10),esk5_3(X8,X9,X10)))&~(esk4_3(X8,X9,X10)=esk5_3(X8,X9,X10)))))|maps(X8,X9,X10))),inference(skolemize,[status(esa)],[7])).
% fof(9, plain,![X8]:![X9]:![X10]:![X11]:![X13]:![X14]:![X15]:![X17]:(((((~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17)))&member(esk2_3(X8,X9,X10),X9))|(((member(esk3_3(X8,X9,X10),X9)&member(esk4_3(X8,X9,X10),X10))&member(esk5_3(X8,X9,X10),X10))&((apply(X8,esk3_3(X8,X9,X10),esk4_3(X8,X9,X10))&apply(X8,esk3_3(X8,X9,X10),esk5_3(X8,X9,X10)))&~(esk4_3(X8,X9,X10)=esk5_3(X8,X9,X10)))))|maps(X8,X9,X10))&(((((~(member(X13,X9))|~(member(X14,X10)))|~(member(X15,X10)))|((~(apply(X8,X13,X14))|~(apply(X8,X13,X15)))|X14=X15))&(~(member(X11,X9))|(member(esk1_4(X8,X9,X10,X11),X10)&apply(X8,X11,esk1_4(X8,X9,X10,X11)))))|~(maps(X8,X9,X10)))),inference(shift_quantors,[status(thm)],[8])).
% fof(10, plain,![X8]:![X9]:![X10]:![X11]:![X13]:![X14]:![X15]:![X17]:(((((((member(esk3_3(X8,X9,X10),X9)|(~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17))))|maps(X8,X9,X10))&((member(esk4_3(X8,X9,X10),X10)|(~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17))))|maps(X8,X9,X10)))&((member(esk5_3(X8,X9,X10),X10)|(~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17))))|maps(X8,X9,X10)))&((((apply(X8,esk3_3(X8,X9,X10),esk4_3(X8,X9,X10))|(~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17))))|maps(X8,X9,X10))&((apply(X8,esk3_3(X8,X9,X10),esk5_3(X8,X9,X10))|(~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17))))|maps(X8,X9,X10)))&((~(esk4_3(X8,X9,X10)=esk5_3(X8,X9,X10))|(~(member(X17,X10))|~(apply(X8,esk2_3(X8,X9,X10),X17))))|maps(X8,X9,X10))))&(((((member(esk3_3(X8,X9,X10),X9)|member(esk2_3(X8,X9,X10),X9))|maps(X8,X9,X10))&((member(esk4_3(X8,X9,X10),X10)|member(esk2_3(X8,X9,X10),X9))|maps(X8,X9,X10)))&((member(esk5_3(X8,X9,X10),X10)|member(esk2_3(X8,X9,X10),X9))|maps(X8,X9,X10)))&((((apply(X8,esk3_3(X8,X9,X10),esk4_3(X8,X9,X10))|member(esk2_3(X8,X9,X10),X9))|maps(X8,X9,X10))&((apply(X8,esk3_3(X8,X9,X10),esk5_3(X8,X9,X10))|member(esk2_3(X8,X9,X10),X9))|maps(X8,X9,X10)))&((~(esk4_3(X8,X9,X10)=esk5_3(X8,X9,X10))|member(esk2_3(X8,X9,X10),X9))|maps(X8,X9,X10)))))&(((((~(member(X13,X9))|~(member(X14,X10)))|~(member(X15,X10)))|((~(apply(X8,X13,X14))|~(apply(X8,X13,X15)))|X14=X15))|~(maps(X8,X9,X10)))&(((member(esk1_4(X8,X9,X10,X11),X10)|~(member(X11,X9)))|~(maps(X8,X9,X10)))&((apply(X8,X11,esk1_4(X8,X9,X10,X11))|~(member(X11,X9)))|~(maps(X8,X9,X10)))))),inference(distribute,[status(thm)],[9])).
% cnf(11,plain,(apply(X1,X4,esk1_4(X1,X2,X3,X4))|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[10])).
% cnf(12,plain,(member(esk1_4(X1,X2,X3,X4),X3)|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[10])).
% cnf(13,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)],[10])).
% fof(26, plain,![X1]:![X8]:![X2]:![X3]:((~(equal_maps(X1,X8,X2,X3))|![X4]:![X6]:![X7]:(((~(member(X4,X2))|~(member(X6,X3)))|~(member(X7,X3)))|((~(apply(X1,X4,X6))|~(apply(X8,X4,X7)))|X6=X7)))&(?[X4]:?[X6]:?[X7]:(((member(X4,X2)&member(X6,X3))&member(X7,X3))&((apply(X1,X4,X6)&apply(X8,X4,X7))&~(X6=X7)))|equal_maps(X1,X8,X2,X3))),inference(fof_nnf,[status(thm)],[2])).
% fof(27, plain,![X9]:![X10]:![X11]:![X12]:((~(equal_maps(X9,X10,X11,X12))|![X13]:![X14]:![X15]:(((~(member(X13,X11))|~(member(X14,X12)))|~(member(X15,X12)))|((~(apply(X9,X13,X14))|~(apply(X10,X13,X15)))|X14=X15)))&(?[X16]:?[X17]:?[X18]:(((member(X16,X11)&member(X17,X12))&member(X18,X12))&((apply(X9,X16,X17)&apply(X10,X16,X18))&~(X17=X18)))|equal_maps(X9,X10,X11,X12))),inference(variable_rename,[status(thm)],[26])).
% fof(28, plain,![X9]:![X10]:![X11]:![X12]:((~(equal_maps(X9,X10,X11,X12))|![X13]:![X14]:![X15]:(((~(member(X13,X11))|~(member(X14,X12)))|~(member(X15,X12)))|((~(apply(X9,X13,X14))|~(apply(X10,X13,X15)))|X14=X15)))&((((member(esk6_4(X9,X10,X11,X12),X11)&member(esk7_4(X9,X10,X11,X12),X12))&member(esk8_4(X9,X10,X11,X12),X12))&((apply(X9,esk6_4(X9,X10,X11,X12),esk7_4(X9,X10,X11,X12))&apply(X10,esk6_4(X9,X10,X11,X12),esk8_4(X9,X10,X11,X12)))&~(esk7_4(X9,X10,X11,X12)=esk8_4(X9,X10,X11,X12))))|equal_maps(X9,X10,X11,X12))),inference(skolemize,[status(esa)],[27])).
% fof(29, plain,![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:(((((~(member(X13,X11))|~(member(X14,X12)))|~(member(X15,X12)))|((~(apply(X9,X13,X14))|~(apply(X10,X13,X15)))|X14=X15))|~(equal_maps(X9,X10,X11,X12)))&((((member(esk6_4(X9,X10,X11,X12),X11)&member(esk7_4(X9,X10,X11,X12),X12))&member(esk8_4(X9,X10,X11,X12),X12))&((apply(X9,esk6_4(X9,X10,X11,X12),esk7_4(X9,X10,X11,X12))&apply(X10,esk6_4(X9,X10,X11,X12),esk8_4(X9,X10,X11,X12)))&~(esk7_4(X9,X10,X11,X12)=esk8_4(X9,X10,X11,X12))))|equal_maps(X9,X10,X11,X12))),inference(shift_quantors,[status(thm)],[28])).
% fof(30, plain,![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:(((((~(member(X13,X11))|~(member(X14,X12)))|~(member(X15,X12)))|((~(apply(X9,X13,X14))|~(apply(X10,X13,X15)))|X14=X15))|~(equal_maps(X9,X10,X11,X12)))&((((member(esk6_4(X9,X10,X11,X12),X11)|equal_maps(X9,X10,X11,X12))&(member(esk7_4(X9,X10,X11,X12),X12)|equal_maps(X9,X10,X11,X12)))&(member(esk8_4(X9,X10,X11,X12),X12)|equal_maps(X9,X10,X11,X12)))&(((apply(X9,esk6_4(X9,X10,X11,X12),esk7_4(X9,X10,X11,X12))|equal_maps(X9,X10,X11,X12))&(apply(X10,esk6_4(X9,X10,X11,X12),esk8_4(X9,X10,X11,X12))|equal_maps(X9,X10,X11,X12)))&(~(esk7_4(X9,X10,X11,X12)=esk8_4(X9,X10,X11,X12))|equal_maps(X9,X10,X11,X12))))),inference(distribute,[status(thm)],[29])).
% cnf(31,plain,(equal_maps(X1,X2,X3,X4)|esk7_4(X1,X2,X3,X4)!=esk8_4(X1,X2,X3,X4)),inference(split_conjunct,[status(thm)],[30])).
% cnf(32,plain,(equal_maps(X1,X2,X3,X4)|apply(X2,esk6_4(X1,X2,X3,X4),esk8_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[30])).
% cnf(33,plain,(equal_maps(X1,X2,X3,X4)|apply(X1,esk6_4(X1,X2,X3,X4),esk7_4(X1,X2,X3,X4))),inference(split_conjunct,[status(thm)],[30])).
% cnf(34,plain,(equal_maps(X1,X2,X3,X4)|member(esk8_4(X1,X2,X3,X4),X4)),inference(split_conjunct,[status(thm)],[30])).
% cnf(35,plain,(equal_maps(X1,X2,X3,X4)|member(esk7_4(X1,X2,X3,X4),X4)),inference(split_conjunct,[status(thm)],[30])).
% cnf(36,plain,(equal_maps(X1,X2,X3,X4)|member(esk6_4(X1,X2,X3,X4),X3)),inference(split_conjunct,[status(thm)],[30])).
% fof(38, plain,![X9]:![X8]:![X1]:![X2]:![X3]:![X10]:((~(compose_predicate(X9,X8,X1,X2,X3,X10))|![X4]:![X11]:((~(member(X4,X2))|~(member(X11,X10)))|((~(apply(X9,X4,X11))|?[X5]:((member(X5,X3)&apply(X1,X4,X5))&apply(X8,X5,X11)))&(![X5]:((~(member(X5,X3))|~(apply(X1,X4,X5)))|~(apply(X8,X5,X11)))|apply(X9,X4,X11)))))&(?[X4]:?[X11]:((member(X4,X2)&member(X11,X10))&((~(apply(X9,X4,X11))|![X5]:((~(member(X5,X3))|~(apply(X1,X4,X5)))|~(apply(X8,X5,X11))))&(apply(X9,X4,X11)|?[X5]:((member(X5,X3)&apply(X1,X4,X5))&apply(X8,X5,X11)))))|compose_predicate(X9,X8,X1,X2,X3,X10))),inference(fof_nnf,[status(thm)],[3])).
% fof(39, plain,![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:((~(compose_predicate(X12,X13,X14,X15,X16,X17))|![X18]:![X19]:((~(member(X18,X15))|~(member(X19,X17)))|((~(apply(X12,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(X12,X18,X19)))))&(?[X22]:?[X23]:((member(X22,X15)&member(X23,X17))&((~(apply(X12,X22,X23))|![X24]:((~(member(X24,X16))|~(apply(X14,X22,X24)))|~(apply(X13,X24,X23))))&(apply(X12,X22,X23)|?[X25]:((member(X25,X16)&apply(X14,X22,X25))&apply(X13,X25,X23)))))|compose_predicate(X12,X13,X14,X15,X16,X17))),inference(variable_rename,[status(thm)],[38])).
% fof(40, plain,![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:((~(compose_predicate(X12,X13,X14,X15,X16,X17))|![X18]:![X19]:((~(member(X18,X15))|~(member(X19,X17)))|((~(apply(X12,X18,X19))|((member(esk9_8(X12,X13,X14,X15,X16,X17,X18,X19),X16)&apply(X14,X18,esk9_8(X12,X13,X14,X15,X16,X17,X18,X19)))&apply(X13,esk9_8(X12,X13,X14,X15,X16,X17,X18,X19),X19)))&(![X21]:((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(X12,X18,X19)))))&(((member(esk10_6(X12,X13,X14,X15,X16,X17),X15)&member(esk11_6(X12,X13,X14,X15,X16,X17),X17))&((~(apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17)))|![X24]:((~(member(X24,X16))|~(apply(X14,esk10_6(X12,X13,X14,X15,X16,X17),X24)))|~(apply(X13,X24,esk11_6(X12,X13,X14,X15,X16,X17)))))&(apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17))|((member(esk12_6(X12,X13,X14,X15,X16,X17),X16)&apply(X14,esk10_6(X12,X13,X14,X15,X16,X17),esk12_6(X12,X13,X14,X15,X16,X17)))&apply(X13,esk12_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17))))))|compose_predicate(X12,X13,X14,X15,X16,X17))),inference(skolemize,[status(esa)],[39])).
% fof(41, plain,![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:![X21]:![X24]:(((((((~(member(X24,X16))|~(apply(X14,esk10_6(X12,X13,X14,X15,X16,X17),X24)))|~(apply(X13,X24,esk11_6(X12,X13,X14,X15,X16,X17))))|~(apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17))))&(apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17))|((member(esk12_6(X12,X13,X14,X15,X16,X17),X16)&apply(X14,esk10_6(X12,X13,X14,X15,X16,X17),esk12_6(X12,X13,X14,X15,X16,X17)))&apply(X13,esk12_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17)))))&(member(esk10_6(X12,X13,X14,X15,X16,X17),X15)&member(esk11_6(X12,X13,X14,X15,X16,X17),X17)))|compose_predicate(X12,X13,X14,X15,X16,X17))&((((((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(X12,X18,X19))&(~(apply(X12,X18,X19))|((member(esk9_8(X12,X13,X14,X15,X16,X17,X18,X19),X16)&apply(X14,X18,esk9_8(X12,X13,X14,X15,X16,X17,X18,X19)))&apply(X13,esk9_8(X12,X13,X14,X15,X16,X17,X18,X19),X19))))|(~(member(X18,X15))|~(member(X19,X17))))|~(compose_predicate(X12,X13,X14,X15,X16,X17)))),inference(shift_quantors,[status(thm)],[40])).
% fof(42, plain,![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:![X18]:![X19]:![X21]:![X24]:(((((((~(member(X24,X16))|~(apply(X14,esk10_6(X12,X13,X14,X15,X16,X17),X24)))|~(apply(X13,X24,esk11_6(X12,X13,X14,X15,X16,X17))))|~(apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17))))|compose_predicate(X12,X13,X14,X15,X16,X17))&((((member(esk12_6(X12,X13,X14,X15,X16,X17),X16)|apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17)))|compose_predicate(X12,X13,X14,X15,X16,X17))&((apply(X14,esk10_6(X12,X13,X14,X15,X16,X17),esk12_6(X12,X13,X14,X15,X16,X17))|apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17)))|compose_predicate(X12,X13,X14,X15,X16,X17)))&((apply(X13,esk12_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17))|apply(X12,esk10_6(X12,X13,X14,X15,X16,X17),esk11_6(X12,X13,X14,X15,X16,X17)))|compose_predicate(X12,X13,X14,X15,X16,X17))))&((member(esk10_6(X12,X13,X14,X15,X16,X17),X15)|compose_predicate(X12,X13,X14,X15,X16,X17))&(member(esk11_6(X12,X13,X14,X15,X16,X17),X17)|compose_predicate(X12,X13,X14,X15,X16,X17))))&((((((~(member(X21,X16))|~(apply(X14,X18,X21)))|~(apply(X13,X21,X19)))|apply(X12,X18,X19))|(~(member(X18,X15))|~(member(X19,X17))))|~(compose_predicate(X12,X13,X14,X15,X16,X17)))&(((((member(esk9_8(X12,X13,X14,X15,X16,X17,X18,X19),X16)|~(apply(X12,X18,X19)))|(~(member(X18,X15))|~(member(X19,X17))))|~(compose_predicate(X12,X13,X14,X15,X16,X17)))&(((apply(X14,X18,esk9_8(X12,X13,X14,X15,X16,X17,X18,X19))|~(apply(X12,X18,X19)))|(~(member(X18,X15))|~(member(X19,X17))))|~(compose_predicate(X12,X13,X14,X15,X16,X17))))&(((apply(X13,esk9_8(X12,X13,X14,X15,X16,X17,X18,X19),X19)|~(apply(X12,X18,X19)))|(~(member(X18,X15))|~(member(X19,X17))))|~(compose_predicate(X12,X13,X14,X15,X16,X17)))))),inference(distribute,[status(thm)],[41])).
% cnf(43,plain,(apply(X2,esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X7)|~compose_predicate(X1,X2,X3,X4,X5,X6)|~member(X7,X6)|~member(X8,X4)|~apply(X1,X8,X7)),inference(split_conjunct,[status(thm)],[42])).
% cnf(44,plain,(apply(X3,X8,esk9_8(X1,X2,X3,X4,X5,X6,X8,X7))|~compose_predicate(X1,X2,X3,X4,X5,X6)|~member(X7,X6)|~member(X8,X4)|~apply(X1,X8,X7)),inference(split_conjunct,[status(thm)],[42])).
% cnf(45,plain,(member(esk9_8(X1,X2,X3,X4,X5,X6,X8,X7),X5)|~compose_predicate(X1,X2,X3,X4,X5,X6)|~member(X7,X6)|~member(X8,X4)|~apply(X1,X8,X7)),inference(split_conjunct,[status(thm)],[42])).
% fof(53, negated_conjecture,?[X1]:?[X8]:?[X12]:?[X13]:?[X2]:?[X3]:?[X10]:((((maps(X1,X2,X3)&maps(X8,X3,X10))&compose_predicate(X12,X8,X1,X2,X3,X10))&compose_predicate(X13,X8,X1,X2,X3,X10))&~(equal_maps(X12,X13,X2,X10))),inference(fof_nnf,[status(thm)],[5])).
% fof(54, negated_conjecture,?[X14]:?[X15]:?[X16]:?[X17]:?[X18]:?[X19]:?[X20]:((((maps(X14,X18,X19)&maps(X15,X19,X20))&compose_predicate(X16,X15,X14,X18,X19,X20))&compose_predicate(X17,X15,X14,X18,X19,X20))&~(equal_maps(X16,X17,X18,X20))),inference(variable_rename,[status(thm)],[53])).
% fof(55, negated_conjecture,((((maps(esk13_0,esk17_0,esk18_0)&maps(esk14_0,esk18_0,esk19_0))&compose_predicate(esk15_0,esk14_0,esk13_0,esk17_0,esk18_0,esk19_0))&compose_predicate(esk16_0,esk14_0,esk13_0,esk17_0,esk18_0,esk19_0))&~(equal_maps(esk15_0,esk16_0,esk17_0,esk19_0))),inference(skolemize,[status(esa)],[54])).
% cnf(56,negated_conjecture,(~equal_maps(esk15_0,esk16_0,esk17_0,esk19_0)),inference(split_conjunct,[status(thm)],[55])).
% cnf(57,negated_conjecture,(compose_predicate(esk16_0,esk14_0,esk13_0,esk17_0,esk18_0,esk19_0)),inference(split_conjunct,[status(thm)],[55])).
% cnf(58,negated_conjecture,(compose_predicate(esk15_0,esk14_0,esk13_0,esk17_0,esk18_0,esk19_0)),inference(split_conjunct,[status(thm)],[55])).
% cnf(59,negated_conjecture,(maps(esk14_0,esk18_0,esk19_0)),inference(split_conjunct,[status(thm)],[55])).
% cnf(60,negated_conjecture,(maps(esk13_0,esk17_0,esk18_0)),inference(split_conjunct,[status(thm)],[55])).
% cnf(78,plain,(X1=esk9_8(X2,X3,X4,X5,X6,X7,X8,X9)|~apply(X4,X8,X1)|~member(X8,X10)|~member(esk9_8(X2,X3,X4,X5,X6,X7,X8,X9),X11)|~member(X1,X11)|~maps(X4,X10,X11)|~compose_predicate(X2,X3,X4,X5,X6,X7)|~apply(X2,X8,X9)|~member(X8,X5)|~member(X9,X7)),inference(spm,[status(thm)],[13,44,theory(equality)])).
% cnf(433,plain,(X1=esk9_8(X2,X3,X4,X5,X6,X7,X8,X9)|~compose_predicate(X2,X3,X4,X5,X6,X7)|~apply(X4,X8,X1)|~apply(X2,X8,X9)|~member(X8,X10)|~member(X1,X6)|~member(X8,X5)|~member(X9,X7)|~maps(X4,X10,X6)),inference(spm,[status(thm)],[78,45,theory(equality)])).
% cnf(450,plain,(esk1_4(X1,X2,X3,X4)=esk9_8(X5,X6,X1,X7,X8,X9,X4,X10)|~compose_predicate(X5,X6,X1,X7,X8,X9)|~apply(X5,X4,X10)|~member(X4,X11)|~member(esk1_4(X1,X2,X3,X4),X8)|~member(X4,X7)|~member(X10,X9)|~maps(X1,X11,X8)|~member(X4,X2)|~maps(X1,X2,X3)),inference(spm,[status(thm)],[433,11,theory(equality)])).
% cnf(1728,plain,(esk1_4(X1,X2,X3,X4)=esk9_8(X5,X6,X1,X7,X3,X8,X4,X9)|~compose_predicate(X5,X6,X1,X7,X3,X8)|~apply(X5,X4,X9)|~member(X4,X10)|~member(X4,X7)|~member(X9,X8)|~member(X4,X2)|~maps(X1,X10,X3)|~maps(X1,X2,X3)),inference(spm,[status(thm)],[450,12,theory(equality)])).
% cnf(1730,negated_conjecture,(esk1_4(esk13_0,X1,esk18_0,X2)=esk9_8(X3,X4,esk13_0,X5,esk18_0,X6,X2,X7)|~compose_predicate(X3,X4,esk13_0,X5,esk18_0,X6)|~apply(X3,X2,X7)|~member(X2,esk17_0)|~member(X2,X5)|~member(X7,X6)|~member(X2,X1)|~maps(esk13_0,X1,esk18_0)),inference(spm,[status(thm)],[1728,60,theory(equality)])).
% cnf(1810,negated_conjecture,(apply(X1,esk1_4(esk13_0,X7,esk18_0,X5),X6)|~compose_predicate(X2,X1,esk13_0,X3,esk18_0,X4)|~apply(X2,X5,X6)|~member(X5,X3)|~member(X6,X4)|~member(X5,esk17_0)|~member(X5,X7)|~maps(esk13_0,X7,esk18_0)),inference(spm,[status(thm)],[43,1730,theory(equality)])).
% cnf(1893,negated_conjecture,(apply(esk14_0,esk1_4(esk13_0,X1,esk18_0,X2),X3)|~apply(esk16_0,X2,X3)|~member(X2,esk17_0)|~member(X3,esk19_0)|~member(X2,X1)|~maps(esk13_0,X1,esk18_0)),inference(spm,[status(thm)],[1810,57,theory(equality)])).
% cnf(1894,negated_conjecture,(apply(esk14_0,esk1_4(esk13_0,X1,esk18_0,X2),X3)|~apply(esk15_0,X2,X3)|~member(X2,esk17_0)|~member(X3,esk19_0)|~member(X2,X1)|~maps(esk13_0,X1,esk18_0)),inference(spm,[status(thm)],[1810,58,theory(equality)])).
% cnf(1898,negated_conjecture,(X1=X2|~apply(esk14_0,esk1_4(esk13_0,X3,esk18_0,X4),X1)|~member(esk1_4(esk13_0,X3,esk18_0,X4),X5)|~member(X2,X6)|~member(X1,X6)|~maps(esk14_0,X5,X6)|~apply(esk16_0,X4,X2)|~member(X4,esk17_0)|~member(X2,esk19_0)|~member(X4,X3)|~maps(esk13_0,X3,esk18_0)),inference(spm,[status(thm)],[13,1893,theory(equality)])).
% cnf(2076,negated_conjecture,(X1=X2|~apply(esk16_0,X4,X2)|~member(esk1_4(esk13_0,X3,esk18_0,X4),X5)|~member(X4,esk17_0)|~member(X2,esk19_0)|~member(X2,X6)|~member(X1,X6)|~member(X4,X3)|~maps(esk13_0,X3,esk18_0)|~maps(esk14_0,X5,X6)|~apply(esk15_0,X4,X1)|~member(X1,esk19_0)),inference(spm,[status(thm)],[1898,1894,theory(equality)])).
% cnf(2122,negated_conjecture,(X1=X2|~apply(esk16_0,X3,X2)|~apply(esk15_0,X3,X1)|~member(X3,esk17_0)|~member(X2,esk19_0)|~member(X1,esk19_0)|~member(X2,X5)|~member(X1,X5)|~member(X3,X4)|~maps(esk13_0,X4,esk18_0)|~maps(esk14_0,esk18_0,X5)),inference(spm,[status(thm)],[2076,12,theory(equality)])).
% cnf(2123,negated_conjecture,(X1=X2|~apply(esk16_0,X3,X2)|~apply(esk15_0,X3,X1)|~member(X3,esk17_0)|~member(X2,esk19_0)|~member(X1,esk19_0)|~member(X2,X4)|~member(X1,X4)|~maps(esk14_0,esk18_0,X4)),inference(spm,[status(thm)],[2122,60,theory(equality)])).
% cnf(2124,negated_conjecture,(X1=X2|~apply(esk16_0,X3,X2)|~apply(esk15_0,X3,X1)|~member(X3,esk17_0)|~member(X2,esk19_0)|~member(X1,esk19_0)),inference(spm,[status(thm)],[2123,59,theory(equality)])).
% cnf(2130,negated_conjecture,(X1=esk8_4(X2,esk16_0,X3,X4)|equal_maps(X2,esk16_0,X3,X4)|~apply(esk15_0,esk6_4(X2,esk16_0,X3,X4),X1)|~member(esk6_4(X2,esk16_0,X3,X4),esk17_0)|~member(esk8_4(X2,esk16_0,X3,X4),esk19_0)|~member(X1,esk19_0)),inference(spm,[status(thm)],[2124,32,theory(equality)])).
% cnf(2248,negated_conjecture,(esk7_4(esk15_0,esk16_0,X1,X2)=esk8_4(esk15_0,esk16_0,X1,X2)|equal_maps(esk15_0,esk16_0,X1,X2)|~member(esk6_4(esk15_0,esk16_0,X1,X2),esk17_0)|~member(esk8_4(esk15_0,esk16_0,X1,X2),esk19_0)|~member(esk7_4(esk15_0,esk16_0,X1,X2),esk19_0)),inference(spm,[status(thm)],[2130,33,theory(equality)])).
% cnf(2257,negated_conjecture,(equal_maps(esk15_0,esk16_0,X1,X2)|~member(esk6_4(esk15_0,esk16_0,X1,X2),esk17_0)|~member(esk8_4(esk15_0,esk16_0,X1,X2),esk19_0)|~member(esk7_4(esk15_0,esk16_0,X1,X2),esk19_0)),inference(csr,[status(thm)],[2248,31])).
% cnf(2258,negated_conjecture,(equal_maps(esk15_0,esk16_0,X1,esk19_0)|~member(esk6_4(esk15_0,esk16_0,X1,esk19_0),esk17_0)|~member(esk7_4(esk15_0,esk16_0,X1,esk19_0),esk19_0)),inference(spm,[status(thm)],[2257,34,theory(equality)])).
% cnf(2259,negated_conjecture,(equal_maps(esk15_0,esk16_0,X1,esk19_0)|~member(esk6_4(esk15_0,esk16_0,X1,esk19_0),esk17_0)),inference(csr,[status(thm)],[2258,35])).
% cnf(2260,negated_conjecture,(equal_maps(esk15_0,esk16_0,esk17_0,esk19_0)),inference(spm,[status(thm)],[2259,36,theory(equality)])).
% cnf(2261,negated_conjecture,($false),inference(sr,[status(thm)],[2260,56,theory(equality)])).
% cnf(2262,negated_conjecture,($false),2261,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 600
% # ...of these trivial : 0
% # ...subsumed : 187
% # ...remaining for further processing: 413
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 40
% # Backward-rewritten : 0
% # Generated clauses : 1746
% # ...of the previous two non-trivial : 1685
% # Contextual simplify-reflections : 436
% # Paramodulations : 1746
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 336
% # Positive orientable unit clauses: 4
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 329
% # Current number of unprocessed clauses: 1103
% # ...number of literals in the above : 12390
% # Clause-clause subsumption calls (NU) : 8430
% # Rec. Clause-clause subsumption calls : 2426
% # Unit Clause-clause subsumption calls : 130
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 0
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 290 leaves, 3.08+/-4.869 terms/leaf
% # Paramod-from index: 51 leaves, 1.51+/-1.091 terms/leaf
% # Paramod-into index: 156 leaves, 2.17+/-2.261 terms/leaf
% # -------------------------------------------------
% # User time : 0.241 s
% # System time : 0.005 s
% # Total time : 0.246 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.39 CPU 0.46 WC
% FINAL PrfWatch: 0.39 CPU 0.46 WC
% SZS output end Solution for /tmp/SystemOnTPTP31589/SET708+4.tptp
%
%------------------------------------------------------------------------------