TSTP Solution File: SET714+4 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET714+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 : art07.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 23:36:16 EST 2010
% Result : Theorem 104.41s
% Output : Solution 105.53s
% 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/SystemOnTPTP10069/SET714+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~thII05:
% ---- 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 ... inverse_function:
% CSA axiom inverse_function found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... isomorphism:
% CSA axiom isomorphism found
% Looking for CSA axiom ... maps:
% CSA axiom maps found
% Looking for CSA axiom ... one_to_one:
% CSA axiom one_to_one found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :one_to_one:maps:isomorphism:inverse_function:identity:compose_function (6)
% Unselected axioms are ... :equal_maps:injective:singleton:unordered_pair:power_set:compose_predicate:surjective:inverse_predicate:image2:image3:inverse_image2:inverse_image3:increasing_function:decreasing_function:equal_set:subset:intersection:union:empty_set:difference:sum:product (22)
% SZS status THM for /tmp/SystemOnTPTP10069/SET714+4.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP10069/SET714+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 11471
% 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(2, 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(4, axiom,![X1]:![X2]:![X3]:![X4]:![X5]:((member(X4,X2)&member(X5,X3))=>(apply(X1,X4,X5)<=>apply(inverse_function(X1,X2,X3),X5,X4))),file('/tmp/SRASS.s.p', inverse_function)).
% fof(5, axiom,![X1]:![X2]:(identity(X1,X2)<=>![X4]:(member(X4,X2)=>apply(X1,X4,X4))),file('/tmp/SRASS.s.p', identity)).
% fof(6, axiom,![X12]:![X1]:![X2]:![X3]:![X13]:![X4]:![X14]:((member(X4,X2)&member(X14,X13))=>(apply(compose_function(X12,X1,X2,X3,X13),X4,X14)<=>?[X5]:((member(X5,X3)&apply(X1,X4,X5))&apply(X12,X5,X14)))),file('/tmp/SRASS.s.p', compose_function)).
% fof(7, conjecture,![X1]:![X2]:![X3]:((maps(X1,X2,X3)&one_to_one(X1,X2,X3))=>identity(compose_function(inverse_function(X1,X2,X3),X1,X2,X3,X2),X2)),file('/tmp/SRASS.s.p', thII05)).
% fof(8, negated_conjecture,~(![X1]:![X2]:![X3]:((maps(X1,X2,X3)&one_to_one(X1,X2,X3))=>identity(compose_function(inverse_function(X1,X2,X3),X1,X2,X3,X2),X2))),inference(assume_negation,[status(cth)],[7])).
% fof(15, 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)],[2])).
% fof(16, 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)],[15])).
% fof(17, 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)],[16])).
% fof(18, 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)],[17])).
% fof(19, 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)],[18])).
% cnf(20,plain,(apply(X1,X4,esk1_4(X1,X2,X3,X4))|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(21,plain,(member(esk1_4(X1,X2,X3,X4),X3)|~maps(X1,X2,X3)|~member(X4,X2)),inference(split_conjunct,[status(thm)],[19])).
% fof(52, plain,![X1]:![X2]:![X3]:![X4]:![X5]:((~(member(X4,X2))|~(member(X5,X3)))|((~(apply(X1,X4,X5))|apply(inverse_function(X1,X2,X3),X5,X4))&(~(apply(inverse_function(X1,X2,X3),X5,X4))|apply(X1,X4,X5)))),inference(fof_nnf,[status(thm)],[4])).
% fof(53, plain,![X6]:![X7]:![X8]:![X9]:![X10]:((~(member(X9,X7))|~(member(X10,X8)))|((~(apply(X6,X9,X10))|apply(inverse_function(X6,X7,X8),X10,X9))&(~(apply(inverse_function(X6,X7,X8),X10,X9))|apply(X6,X9,X10)))),inference(variable_rename,[status(thm)],[52])).
% fof(54, plain,![X6]:![X7]:![X8]:![X9]:![X10]:(((~(apply(X6,X9,X10))|apply(inverse_function(X6,X7,X8),X10,X9))|(~(member(X9,X7))|~(member(X10,X8))))&((~(apply(inverse_function(X6,X7,X8),X10,X9))|apply(X6,X9,X10))|(~(member(X9,X7))|~(member(X10,X8))))),inference(distribute,[status(thm)],[53])).
% cnf(56,plain,(apply(inverse_function(X5,X4,X2),X1,X3)|~member(X1,X2)|~member(X3,X4)|~apply(X5,X3,X1)),inference(split_conjunct,[status(thm)],[54])).
% fof(57, plain,![X1]:![X2]:((~(identity(X1,X2))|![X4]:(~(member(X4,X2))|apply(X1,X4,X4)))&(?[X4]:(member(X4,X2)&~(apply(X1,X4,X4)))|identity(X1,X2))),inference(fof_nnf,[status(thm)],[5])).
% fof(58, plain,![X5]:![X6]:((~(identity(X5,X6))|![X7]:(~(member(X7,X6))|apply(X5,X7,X7)))&(?[X8]:(member(X8,X6)&~(apply(X5,X8,X8)))|identity(X5,X6))),inference(variable_rename,[status(thm)],[57])).
% fof(59, plain,![X5]:![X6]:((~(identity(X5,X6))|![X7]:(~(member(X7,X6))|apply(X5,X7,X7)))&((member(esk10_2(X5,X6),X6)&~(apply(X5,esk10_2(X5,X6),esk10_2(X5,X6))))|identity(X5,X6))),inference(skolemize,[status(esa)],[58])).
% fof(60, plain,![X5]:![X6]:![X7]:(((~(member(X7,X6))|apply(X5,X7,X7))|~(identity(X5,X6)))&((member(esk10_2(X5,X6),X6)&~(apply(X5,esk10_2(X5,X6),esk10_2(X5,X6))))|identity(X5,X6))),inference(shift_quantors,[status(thm)],[59])).
% fof(61, plain,![X5]:![X6]:![X7]:(((~(member(X7,X6))|apply(X5,X7,X7))|~(identity(X5,X6)))&((member(esk10_2(X5,X6),X6)|identity(X5,X6))&(~(apply(X5,esk10_2(X5,X6),esk10_2(X5,X6)))|identity(X5,X6)))),inference(distribute,[status(thm)],[60])).
% cnf(62,plain,(identity(X1,X2)|~apply(X1,esk10_2(X1,X2),esk10_2(X1,X2))),inference(split_conjunct,[status(thm)],[61])).
% cnf(63,plain,(identity(X1,X2)|member(esk10_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[61])).
% fof(65, plain,![X12]:![X1]:![X2]:![X3]:![X13]:![X4]:![X14]:((~(member(X4,X2))|~(member(X14,X13)))|((~(apply(compose_function(X12,X1,X2,X3,X13),X4,X14))|?[X5]:((member(X5,X3)&apply(X1,X4,X5))&apply(X12,X5,X14)))&(![X5]:((~(member(X5,X3))|~(apply(X1,X4,X5)))|~(apply(X12,X5,X14)))|apply(compose_function(X12,X1,X2,X3,X13),X4,X14)))),inference(fof_nnf,[status(thm)],[6])).
% fof(66, 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)],[65])).
% fof(67, 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(esk11_7(X15,X16,X17,X18,X19,X20,X21),X18)&apply(X16,X20,esk11_7(X15,X16,X17,X18,X19,X20,X21)))&apply(X15,esk11_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)],[66])).
% fof(68, 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(esk11_7(X15,X16,X17,X18,X19,X20,X21),X18)&apply(X16,X20,esk11_7(X15,X16,X17,X18,X19,X20,X21)))&apply(X15,esk11_7(X15,X16,X17,X18,X19,X20,X21),X21))))|(~(member(X20,X17))|~(member(X21,X19)))),inference(shift_quantors,[status(thm)],[67])).
% fof(69, 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(esk11_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,esk11_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,esk11_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)],[68])).
% cnf(73,plain,(apply(compose_function(X5,X6,X4,X7,X2),X3,X1)|~member(X1,X2)|~member(X3,X4)|~apply(X5,X8,X1)|~apply(X6,X3,X8)|~member(X8,X7)),inference(split_conjunct,[status(thm)],[69])).
% fof(74, negated_conjecture,?[X1]:?[X2]:?[X3]:((maps(X1,X2,X3)&one_to_one(X1,X2,X3))&~(identity(compose_function(inverse_function(X1,X2,X3),X1,X2,X3,X2),X2))),inference(fof_nnf,[status(thm)],[8])).
% fof(75, negated_conjecture,?[X4]:?[X5]:?[X6]:((maps(X4,X5,X6)&one_to_one(X4,X5,X6))&~(identity(compose_function(inverse_function(X4,X5,X6),X4,X5,X6,X5),X5))),inference(variable_rename,[status(thm)],[74])).
% fof(76, negated_conjecture,((maps(esk12_0,esk13_0,esk14_0)&one_to_one(esk12_0,esk13_0,esk14_0))&~(identity(compose_function(inverse_function(esk12_0,esk13_0,esk14_0),esk12_0,esk13_0,esk14_0,esk13_0),esk13_0))),inference(skolemize,[status(esa)],[75])).
% cnf(77,negated_conjecture,(~identity(compose_function(inverse_function(esk12_0,esk13_0,esk14_0),esk12_0,esk13_0,esk14_0,esk13_0),esk13_0)),inference(split_conjunct,[status(thm)],[76])).
% cnf(79,negated_conjecture,(maps(esk12_0,esk13_0,esk14_0)),inference(split_conjunct,[status(thm)],[76])).
% cnf(122,plain,(apply(compose_function(X1,X2,X3,X4,X5),X6,X7)|~apply(X1,esk1_4(X2,X8,X9,X6),X7)|~member(esk1_4(X2,X8,X9,X6),X4)|~member(X6,X3)|~member(X7,X5)|~member(X6,X8)|~maps(X2,X8,X9)),inference(spm,[status(thm)],[73,20,theory(equality)])).
% cnf(259,plain,(apply(compose_function(inverse_function(X1,X2,X3),X4,X5,X6,X7),X8,X9)|~member(esk1_4(X4,X10,X11,X8),X6)|~member(X8,X5)|~member(X9,X7)|~member(X8,X10)|~maps(X4,X10,X11)|~apply(X1,X9,esk1_4(X4,X10,X11,X8))|~member(X9,X2)|~member(esk1_4(X4,X10,X11,X8),X3)),inference(spm,[status(thm)],[122,56,theory(equality)])).
% cnf(905,plain,(apply(compose_function(inverse_function(X1,X2,X3),X1,X4,X5,X6),X7,X7)|~member(esk1_4(X1,X8,X9,X7),X5)|~member(esk1_4(X1,X8,X9,X7),X3)|~member(X7,X4)|~member(X7,X6)|~member(X7,X8)|~member(X7,X2)|~maps(X1,X8,X9)),inference(spm,[status(thm)],[259,20,theory(equality)])).
% cnf(950,plain,(apply(compose_function(inverse_function(X1,X2,X3),X1,X4,X5,X6),X7,X7)|~member(esk1_4(X1,X8,X5,X7),X3)|~member(X7,X4)|~member(X7,X6)|~member(X7,X8)|~member(X7,X2)|~maps(X1,X8,X5)),inference(spm,[status(thm)],[905,21,theory(equality)])).
% cnf(954,plain,(apply(compose_function(inverse_function(X1,X2,X3),X1,X4,X3,X5),X6,X6)|~member(X6,X4)|~member(X6,X5)|~member(X6,X7)|~member(X6,X2)|~maps(X1,X7,X3)),inference(spm,[status(thm)],[950,21,theory(equality)])).
% cnf(955,negated_conjecture,(apply(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),X4,X4)|~member(X4,X2)|~member(X4,X3)|~member(X4,esk13_0)|~member(X4,X1)),inference(spm,[status(thm)],[954,79,theory(equality)])).
% cnf(959,negated_conjecture,(identity(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),X4)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),X4),esk13_0)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),X4),X2)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),X4),X3)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),X4),X1)),inference(spm,[status(thm)],[62,955,theory(equality)])).
% cnf(4363,negated_conjecture,(identity(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),esk13_0)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),esk13_0),X2)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),esk13_0),X3)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,X2,esk14_0,X3),esk13_0),X1)),inference(spm,[status(thm)],[959,63,theory(equality)])).
% cnf(4364,negated_conjecture,(identity(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,esk13_0,esk14_0,X2),esk13_0)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,esk13_0,esk14_0,X2),esk13_0),X2)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,esk13_0,esk14_0,X2),esk13_0),X1)),inference(spm,[status(thm)],[4363,63,theory(equality)])).
% cnf(4369,negated_conjecture,(identity(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,esk13_0,esk14_0,esk13_0),esk13_0)|~member(esk10_2(compose_function(inverse_function(esk12_0,X1,esk14_0),esk12_0,esk13_0,esk14_0,esk13_0),esk13_0),X1)),inference(spm,[status(thm)],[4364,63,theory(equality)])).
% cnf(4370,negated_conjecture,(identity(compose_function(inverse_function(esk12_0,esk13_0,esk14_0),esk12_0,esk13_0,esk14_0,esk13_0),esk13_0)),inference(spm,[status(thm)],[4369,63,theory(equality)])).
% cnf(4371,negated_conjecture,($false),inference(sr,[status(thm)],[4370,77,theory(equality)])).
% cnf(4372,negated_conjecture,($false),4371,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 587
% # ...of these trivial : 0
% # ...subsumed : 160
% # ...remaining for further processing: 427
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 27
% # Backward-rewritten : 0
% # Generated clauses : 3694
% # ...of the previous two non-trivial : 3628
% # Contextual simplify-reflections : 480
% # Paramodulations : 3694
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 358
% # Positive orientable unit clauses: 2
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 1
% # Non-unit-clauses : 355
% # Current number of unprocessed clauses: 3085
% # ...number of literals in the above : 38793
% # Clause-clause subsumption calls (NU) : 10184
% # Rec. Clause-clause subsumption calls : 2394
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 0
% # Indexed BW rewrite successes : 0
% # Backwards rewriting index: 235 leaves, 5.69+/-10.367 terms/leaf
% # Paramod-from index: 64 leaves, 1.61+/-1.282 terms/leaf
% # Paramod-into index: 179 leaves, 3.09+/-3.669 terms/leaf
% # -------------------------------------------------
% # User time : 0.526 s
% # System time : 0.020 s
% # Total time : 0.546 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.81 CPU 0.89 WC
% FINAL PrfWatch: 0.81 CPU 0.89 WC
% SZS output end Solution for /tmp/SystemOnTPTP10069/SET714+4.tptp
%
%------------------------------------------------------------------------------