TSTP Solution File: SEU401+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU401+1 : TPTP v5.0.0. Released v3.3.0.
% 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 : Thu Dec 30 04:56:39 EST 2010

% Result   : Theorem 1.61s
% Output   : Solution 1.61s
% 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/SystemOnTPTP9401/SEU401+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP9401/SEU401+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP9401/SEU401+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 9533
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.01 CPU 0.01 WC
% # Preprocessing time     : 0.024 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(![X3]:(in(X3,X1)<=>in(X3,X2))=>X1=X2),file('/tmp/SRASS.s.p', t2_tarski)).
% fof(69, conjecture,![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X4]:![X5]:![X6]:((![X7]:(in(X7,X5)<=>(in(X7,the_carrier(X2))&?[X8]:(netstr_induced_subset(X8,X1,X2)&?[X9]:(((element(X9,the_carrier(X2))&X4=topstr_closure(X1,X8))&X7=X9)&X8=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9)))))))&![X7]:(in(X7,X6)<=>(in(X7,the_carrier(X2))&?[X10]:(netstr_induced_subset(X10,X1,X2)&?[X11]:(((element(X11,the_carrier(X2))&X4=topstr_closure(X1,X10))&X7=X11)&X10=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))))))))=>X5=X6)),file('/tmp/SRASS.s.p', s2_xboole_0__e6_39_3__yellow19__1)).
% fof(70, negated_conjecture,~(![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X4]:![X5]:![X6]:((![X7]:(in(X7,X5)<=>(in(X7,the_carrier(X2))&?[X8]:(netstr_induced_subset(X8,X1,X2)&?[X9]:(((element(X9,the_carrier(X2))&X4=topstr_closure(X1,X8))&X7=X9)&X8=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9)))))))&![X7]:(in(X7,X6)<=>(in(X7,the_carrier(X2))&?[X10]:(netstr_induced_subset(X10,X1,X2)&?[X11]:(((element(X11,the_carrier(X2))&X4=topstr_closure(X1,X10))&X7=X11)&X10=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))))))))=>X5=X6))),inference(assume_negation,[status(cth)],[69])).
% fof(97, negated_conjecture,~(![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X4]:![X5]:![X6]:((![X7]:(in(X7,X5)<=>(in(X7,the_carrier(X2))&?[X8]:(netstr_induced_subset(X8,X1,X2)&?[X9]:(((element(X9,the_carrier(X2))&X4=topstr_closure(X1,X8))&X7=X9)&X8=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9)))))))&![X7]:(in(X7,X6)<=>(in(X7,the_carrier(X2))&?[X10]:(netstr_induced_subset(X10,X1,X2)&?[X11]:(((element(X11,the_carrier(X2))&X4=topstr_closure(X1,X10))&X7=X11)&X10=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))))))))=>X5=X6))),inference(fof_simplification,[status(thm)],[70,theory(equality)])).
% fof(98, plain,![X6]:![X5]:![X4]:![X2]:![X1]:(epred1_5(X1,X2,X4,X5,X6)=>(![X7]:(in(X7,X5)<=>(in(X7,the_carrier(X2))&?[X8]:(netstr_induced_subset(X8,X1,X2)&?[X9]:(((element(X9,the_carrier(X2))&X4=topstr_closure(X1,X8))&X7=X9)&X8=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9)))))))&![X7]:(in(X7,X6)<=>(in(X7,the_carrier(X2))&?[X10]:(netstr_induced_subset(X10,X1,X2)&?[X11]:(((element(X11,the_carrier(X2))&X4=topstr_closure(X1,X10))&X7=X11)&X10=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11))))))))),introduced(definition)).
% fof(99, negated_conjecture,~(![X1]:![X2]:![X3]:(((((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))=>![X4]:![X5]:![X6]:(epred1_5(X1,X2,X4,X5,X6)=>X5=X6))),inference(apply_def,[status(esa)],[97,98,theory(equality)])).
% fof(103, plain,![X1]:![X2]:(?[X3]:((~(in(X3,X1))|~(in(X3,X2)))&(in(X3,X1)|in(X3,X2)))|X1=X2),inference(fof_nnf,[status(thm)],[2])).
% fof(104, plain,![X4]:![X5]:(?[X6]:((~(in(X6,X4))|~(in(X6,X5)))&(in(X6,X4)|in(X6,X5)))|X4=X5),inference(variable_rename,[status(thm)],[103])).
% fof(105, plain,![X4]:![X5]:(((~(in(esk1_2(X4,X5),X4))|~(in(esk1_2(X4,X5),X5)))&(in(esk1_2(X4,X5),X4)|in(esk1_2(X4,X5),X5)))|X4=X5),inference(skolemize,[status(esa)],[104])).
% fof(106, plain,![X4]:![X5]:(((~(in(esk1_2(X4,X5),X4))|~(in(esk1_2(X4,X5),X5)))|X4=X5)&((in(esk1_2(X4,X5),X4)|in(esk1_2(X4,X5),X5))|X4=X5)),inference(distribute,[status(thm)],[105])).
% cnf(107,plain,(X1=X2|in(esk1_2(X1,X2),X2)|in(esk1_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[106])).
% cnf(108,plain,(X1=X2|~in(esk1_2(X1,X2),X2)|~in(esk1_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[106])).
% fof(423, negated_conjecture,?[X1]:?[X2]:?[X3]:(((((((~(empty_carrier(X1))&topological_space(X1))&top_str(X1))&~(empty_carrier(X2)))&transitive_relstr(X2))&directed_relstr(X2))&net_str(X2,X1))&?[X4]:?[X5]:?[X6]:(epred1_5(X1,X2,X4,X5,X6)&~(X5=X6))),inference(fof_nnf,[status(thm)],[99])).
% fof(424, negated_conjecture,?[X7]:?[X8]:?[X9]:(((((((~(empty_carrier(X7))&topological_space(X7))&top_str(X7))&~(empty_carrier(X8)))&transitive_relstr(X8))&directed_relstr(X8))&net_str(X8,X7))&?[X10]:?[X11]:?[X12]:(epred1_5(X7,X8,X10,X11,X12)&~(X11=X12))),inference(variable_rename,[status(thm)],[423])).
% fof(425, negated_conjecture,(((((((~(empty_carrier(esk22_0))&topological_space(esk22_0))&top_str(esk22_0))&~(empty_carrier(esk23_0)))&transitive_relstr(esk23_0))&directed_relstr(esk23_0))&net_str(esk23_0,esk22_0))&(epred1_5(esk22_0,esk23_0,esk25_0,esk26_0,esk27_0)&~(esk26_0=esk27_0))),inference(skolemize,[status(esa)],[424])).
% cnf(426,negated_conjecture,(esk26_0!=esk27_0),inference(split_conjunct,[status(thm)],[425])).
% cnf(427,negated_conjecture,(epred1_5(esk22_0,esk23_0,esk25_0,esk26_0,esk27_0)),inference(split_conjunct,[status(thm)],[425])).
% fof(435, plain,![X6]:![X5]:![X4]:![X2]:![X1]:(~(epred1_5(X1,X2,X4,X5,X6))|(![X7]:((~(in(X7,X5))|(in(X7,the_carrier(X2))&?[X8]:(netstr_induced_subset(X8,X1,X2)&?[X9]:(((element(X9,the_carrier(X2))&X4=topstr_closure(X1,X8))&X7=X9)&X8=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9)))))))&((~(in(X7,the_carrier(X2)))|![X8]:(~(netstr_induced_subset(X8,X1,X2))|![X9]:(((~(element(X9,the_carrier(X2)))|~(X4=topstr_closure(X1,X8)))|~(X7=X9))|~(X8=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X9)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X9)))))))|in(X7,X5)))&![X7]:((~(in(X7,X6))|(in(X7,the_carrier(X2))&?[X10]:(netstr_induced_subset(X10,X1,X2)&?[X11]:(((element(X11,the_carrier(X2))&X4=topstr_closure(X1,X10))&X7=X11)&X10=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11)))))))&((~(in(X7,the_carrier(X2)))|![X10]:(~(netstr_induced_subset(X10,X1,X2))|![X11]:(((~(element(X11,the_carrier(X2)))|~(X4=topstr_closure(X1,X10)))|~(X7=X11))|~(X10=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X11)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X11)))))))|in(X7,X6))))),inference(fof_nnf,[status(thm)],[98])).
% fof(436, plain,![X12]:![X13]:![X14]:![X15]:![X16]:(~(epred1_5(X16,X15,X14,X13,X12))|(![X17]:((~(in(X17,X13))|(in(X17,the_carrier(X15))&?[X18]:(netstr_induced_subset(X18,X16,X15)&?[X19]:(((element(X19,the_carrier(X15))&X14=topstr_closure(X16,X18))&X17=X19)&X18=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X19)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X19)))))))&((~(in(X17,the_carrier(X15)))|![X20]:(~(netstr_induced_subset(X20,X16,X15))|![X21]:(((~(element(X21,the_carrier(X15)))|~(X14=topstr_closure(X16,X20)))|~(X17=X21))|~(X20=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X21)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X21)))))))|in(X17,X13)))&![X22]:((~(in(X22,X12))|(in(X22,the_carrier(X15))&?[X23]:(netstr_induced_subset(X23,X16,X15)&?[X24]:(((element(X24,the_carrier(X15))&X14=topstr_closure(X16,X23))&X22=X24)&X23=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X24)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X24)))))))&((~(in(X22,the_carrier(X15)))|![X25]:(~(netstr_induced_subset(X25,X16,X15))|![X26]:(((~(element(X26,the_carrier(X15)))|~(X14=topstr_closure(X16,X25)))|~(X22=X26))|~(X25=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X26)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X26)))))))|in(X22,X12))))),inference(variable_rename,[status(thm)],[435])).
% fof(437, plain,![X12]:![X13]:![X14]:![X15]:![X16]:(~(epred1_5(X16,X15,X14,X13,X12))|(![X17]:((~(in(X17,X13))|(in(X17,the_carrier(X15))&(netstr_induced_subset(esk28_6(X12,X13,X14,X15,X16,X17),X16,X15)&(((element(esk29_6(X12,X13,X14,X15,X16,X17),the_carrier(X15))&X14=topstr_closure(X16,esk28_6(X12,X13,X14,X15,X16,X17)))&X17=esk29_6(X12,X13,X14,X15,X16,X17))&esk28_6(X12,X13,X14,X15,X16,X17)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk29_6(X12,X13,X14,X15,X16,X17))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk29_6(X12,X13,X14,X15,X16,X17))))))))&((~(in(X17,the_carrier(X15)))|![X20]:(~(netstr_induced_subset(X20,X16,X15))|![X21]:(((~(element(X21,the_carrier(X15)))|~(X14=topstr_closure(X16,X20)))|~(X17=X21))|~(X20=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X21)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X21)))))))|in(X17,X13)))&![X22]:((~(in(X22,X12))|(in(X22,the_carrier(X15))&(netstr_induced_subset(esk30_6(X12,X13,X14,X15,X16,X22),X16,X15)&(((element(esk31_6(X12,X13,X14,X15,X16,X22),the_carrier(X15))&X14=topstr_closure(X16,esk30_6(X12,X13,X14,X15,X16,X22)))&X22=esk31_6(X12,X13,X14,X15,X16,X22))&esk30_6(X12,X13,X14,X15,X16,X22)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk31_6(X12,X13,X14,X15,X16,X22))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk31_6(X12,X13,X14,X15,X16,X22))))))))&((~(in(X22,the_carrier(X15)))|![X25]:(~(netstr_induced_subset(X25,X16,X15))|![X26]:(((~(element(X26,the_carrier(X15)))|~(X14=topstr_closure(X16,X25)))|~(X22=X26))|~(X25=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X26)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X26)))))))|in(X22,X12))))),inference(skolemize,[status(esa)],[436])).
% fof(438, plain,![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:![X20]:![X21]:![X22]:![X25]:![X26]:(((((((((~(element(X26,the_carrier(X15)))|~(X14=topstr_closure(X16,X25)))|~(X22=X26))|~(X25=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X26)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X26)))))|~(netstr_induced_subset(X25,X16,X15)))|~(in(X22,the_carrier(X15))))|in(X22,X12))&(~(in(X22,X12))|(in(X22,the_carrier(X15))&(netstr_induced_subset(esk30_6(X12,X13,X14,X15,X16,X22),X16,X15)&(((element(esk31_6(X12,X13,X14,X15,X16,X22),the_carrier(X15))&X14=topstr_closure(X16,esk30_6(X12,X13,X14,X15,X16,X22)))&X22=esk31_6(X12,X13,X14,X15,X16,X22))&esk30_6(X12,X13,X14,X15,X16,X22)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk31_6(X12,X13,X14,X15,X16,X22))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk31_6(X12,X13,X14,X15,X16,X22)))))))))&(((((((~(element(X21,the_carrier(X15)))|~(X14=topstr_closure(X16,X20)))|~(X17=X21))|~(X20=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X21)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X21)))))|~(netstr_induced_subset(X20,X16,X15)))|~(in(X17,the_carrier(X15))))|in(X17,X13))&(~(in(X17,X13))|(in(X17,the_carrier(X15))&(netstr_induced_subset(esk28_6(X12,X13,X14,X15,X16,X17),X16,X15)&(((element(esk29_6(X12,X13,X14,X15,X16,X17),the_carrier(X15))&X14=topstr_closure(X16,esk28_6(X12,X13,X14,X15,X16,X17)))&X17=esk29_6(X12,X13,X14,X15,X16,X17))&esk28_6(X12,X13,X14,X15,X16,X17)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk29_6(X12,X13,X14,X15,X16,X17))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk29_6(X12,X13,X14,X15,X16,X17))))))))))|~(epred1_5(X16,X15,X14,X13,X12))),inference(shift_quantors,[status(thm)],[437])).
% fof(439, plain,![X12]:![X13]:![X14]:![X15]:![X16]:![X17]:![X20]:![X21]:![X22]:![X25]:![X26]:(((((((((~(element(X26,the_carrier(X15)))|~(X14=topstr_closure(X16,X25)))|~(X22=X26))|~(X25=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X26)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X26)))))|~(netstr_induced_subset(X25,X16,X15)))|~(in(X22,the_carrier(X15))))|in(X22,X12))|~(epred1_5(X16,X15,X14,X13,X12)))&(((in(X22,the_carrier(X15))|~(in(X22,X12)))|~(epred1_5(X16,X15,X14,X13,X12)))&(((netstr_induced_subset(esk30_6(X12,X13,X14,X15,X16,X22),X16,X15)|~(in(X22,X12)))|~(epred1_5(X16,X15,X14,X13,X12)))&(((((element(esk31_6(X12,X13,X14,X15,X16,X22),the_carrier(X15))|~(in(X22,X12)))|~(epred1_5(X16,X15,X14,X13,X12)))&((X14=topstr_closure(X16,esk30_6(X12,X13,X14,X15,X16,X22))|~(in(X22,X12)))|~(epred1_5(X16,X15,X14,X13,X12))))&((X22=esk31_6(X12,X13,X14,X15,X16,X22)|~(in(X22,X12)))|~(epred1_5(X16,X15,X14,X13,X12))))&((esk30_6(X12,X13,X14,X15,X16,X22)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk31_6(X12,X13,X14,X15,X16,X22))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk31_6(X12,X13,X14,X15,X16,X22))))|~(in(X22,X12)))|~(epred1_5(X16,X15,X14,X13,X12)))))))&((((((((~(element(X21,the_carrier(X15)))|~(X14=topstr_closure(X16,X20)))|~(X17=X21))|~(X20=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,X21)),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,X21)))))|~(netstr_induced_subset(X20,X16,X15)))|~(in(X17,the_carrier(X15))))|in(X17,X13))|~(epred1_5(X16,X15,X14,X13,X12)))&(((in(X17,the_carrier(X15))|~(in(X17,X13)))|~(epred1_5(X16,X15,X14,X13,X12)))&(((netstr_induced_subset(esk28_6(X12,X13,X14,X15,X16,X17),X16,X15)|~(in(X17,X13)))|~(epred1_5(X16,X15,X14,X13,X12)))&(((((element(esk29_6(X12,X13,X14,X15,X16,X17),the_carrier(X15))|~(in(X17,X13)))|~(epred1_5(X16,X15,X14,X13,X12)))&((X14=topstr_closure(X16,esk28_6(X12,X13,X14,X15,X16,X17))|~(in(X17,X13)))|~(epred1_5(X16,X15,X14,X13,X12))))&((X17=esk29_6(X12,X13,X14,X15,X16,X17)|~(in(X17,X13)))|~(epred1_5(X16,X15,X14,X13,X12))))&((esk28_6(X12,X13,X14,X15,X16,X17)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X16,X15,esk29_6(X12,X13,X14,X15,X16,X17))),the_carrier(X16),the_mapping(X16,subnetstr_of_element(X16,X15,esk29_6(X12,X13,X14,X15,X16,X17))))|~(in(X17,X13)))|~(epred1_5(X16,X15,X14,X13,X12)))))))),inference(distribute,[status(thm)],[438])).
% cnf(440,plain,(esk28_6(X5,X4,X3,X2,X1,X6)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk29_6(X5,X4,X3,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk29_6(X5,X4,X3,X2,X1,X6))))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X4)),inference(split_conjunct,[status(thm)],[439])).
% cnf(441,plain,(X6=esk29_6(X5,X4,X3,X2,X1,X6)|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X4)),inference(split_conjunct,[status(thm)],[439])).
% cnf(442,plain,(X3=topstr_closure(X1,esk28_6(X5,X4,X3,X2,X1,X6))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X4)),inference(split_conjunct,[status(thm)],[439])).
% cnf(443,plain,(element(esk29_6(X5,X4,X3,X2,X1,X6),the_carrier(X2))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X4)),inference(split_conjunct,[status(thm)],[439])).
% cnf(444,plain,(netstr_induced_subset(esk28_6(X5,X4,X3,X2,X1,X6),X1,X2)|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X4)),inference(split_conjunct,[status(thm)],[439])).
% cnf(445,plain,(in(X6,the_carrier(X2))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X4)),inference(split_conjunct,[status(thm)],[439])).
% cnf(446,plain,(in(X6,X4)|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,the_carrier(X2))|~netstr_induced_subset(X7,X1,X2)|X7!=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8)))|X6!=X8|X3!=topstr_closure(X1,X7)|~element(X8,the_carrier(X2))),inference(split_conjunct,[status(thm)],[439])).
% cnf(447,plain,(esk30_6(X5,X4,X3,X2,X1,X6)=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,esk31_6(X5,X4,X3,X2,X1,X6))),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,esk31_6(X5,X4,X3,X2,X1,X6))))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X5)),inference(split_conjunct,[status(thm)],[439])).
% cnf(448,plain,(X6=esk31_6(X5,X4,X3,X2,X1,X6)|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X5)),inference(split_conjunct,[status(thm)],[439])).
% cnf(449,plain,(X3=topstr_closure(X1,esk30_6(X5,X4,X3,X2,X1,X6))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X5)),inference(split_conjunct,[status(thm)],[439])).
% cnf(450,plain,(element(esk31_6(X5,X4,X3,X2,X1,X6),the_carrier(X2))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X5)),inference(split_conjunct,[status(thm)],[439])).
% cnf(451,plain,(netstr_induced_subset(esk30_6(X5,X4,X3,X2,X1,X6),X1,X2)|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X5)),inference(split_conjunct,[status(thm)],[439])).
% cnf(452,plain,(in(X6,the_carrier(X2))|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,X5)),inference(split_conjunct,[status(thm)],[439])).
% cnf(453,plain,(in(X6,X5)|~epred1_5(X1,X2,X3,X4,X5)|~in(X6,the_carrier(X2))|~netstr_induced_subset(X7,X1,X2)|X7!=relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X8)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X8)))|X6!=X8|X3!=topstr_closure(X1,X7)|~element(X8,the_carrier(X2))),inference(split_conjunct,[status(thm)],[439])).
% cnf(464,plain,(in(X1,X2)|relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,X1)),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,X1)))!=X5|topstr_closure(X3,X5)!=X6|~epred1_5(X3,X4,X6,X7,X2)|~netstr_induced_subset(X5,X3,X4)|~element(X1,the_carrier(X4))|~in(X1,the_carrier(X4))),inference(er,[status(thm)],[453,theory(equality)])).
% cnf(465,plain,(in(X1,X2)|relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,X1)),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,X1)))!=X5|topstr_closure(X3,X5)!=X6|~epred1_5(X3,X4,X6,X2,X7)|~netstr_induced_subset(X5,X3,X4)|~element(X1,the_carrier(X4))|~in(X1,the_carrier(X4))),inference(er,[status(thm)],[446,theory(equality)])).
% cnf(551,plain,(in(X1,X2)|topstr_closure(X3,relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,X1)),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,X1))))!=X5|~epred1_5(X3,X4,X5,X6,X2)|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,X1)),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,X1))),X3,X4)|~element(X1,the_carrier(X4))|~in(X1,the_carrier(X4))),inference(er,[status(thm)],[464,theory(equality)])).
% cnf(553,plain,(in(X1,X2)|topstr_closure(X3,relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,X1)),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,X1))))!=X5|~epred1_5(X3,X4,X5,X2,X6)|~netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(X3,X4,X1)),the_carrier(X3),the_mapping(X3,subnetstr_of_element(X3,X4,X1))),X3,X4)|~element(X1,the_carrier(X4))|~in(X1,the_carrier(X4))),inference(er,[status(thm)],[465,theory(equality)])).
% cnf(559,plain,(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X6)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X6)))=esk28_6(X3,X4,X5,X2,X1,X6)|~epred1_5(X1,X2,X5,X4,X3)|~in(X6,X4)),inference(spm,[status(thm)],[440,441,theory(equality)])).
% cnf(565,plain,(relation_rng_as_subset(the_carrier(subnetstr_of_element(X1,X2,X6)),the_carrier(X1),the_mapping(X1,subnetstr_of_element(X1,X2,X6)))=esk30_6(X3,X4,X5,X2,X1,X6)|~epred1_5(X1,X2,X5,X4,X3)|~in(X6,X3)),inference(spm,[status(thm)],[447,448,theory(equality)])).
% cnf(1222,plain,(in(esk29_6(X1,X2,X3,X4,X5,X6),X7)|topstr_closure(X5,esk28_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X8,X9,X7)|~netstr_induced_subset(esk28_6(X1,X2,X3,X4,X5,X6),X5,X4)|~element(esk29_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~in(esk29_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~epred1_5(X5,X4,X3,X2,X1)|~in(X6,X2)),inference(spm,[status(thm)],[551,440,theory(equality)])).
% cnf(1298,plain,(in(esk31_6(X1,X2,X3,X4,X5,X6),X7)|topstr_closure(X5,esk30_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X8,X7,X9)|~netstr_induced_subset(esk30_6(X1,X2,X3,X4,X5,X6),X5,X4)|~element(esk31_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~in(esk31_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~epred1_5(X5,X4,X3,X2,X1)|~in(X6,X1)),inference(spm,[status(thm)],[553,447,theory(equality)])).
% cnf(1479,plain,(esk28_6(X7,X8,X9,X2,X1,X3)=esk28_6(X4,X5,X6,X2,X1,X3)|~epred1_5(X1,X2,X6,X5,X4)|~in(X3,X5)|~epred1_5(X1,X2,X9,X8,X7)|~in(X3,X8)),inference(spm,[status(thm)],[559,559,theory(equality)])).
% cnf(1663,plain,(esk30_6(X7,X8,X9,X2,X1,X3)=esk30_6(X4,X5,X6,X2,X1,X3)|~epred1_5(X1,X2,X6,X5,X4)|~in(X3,X4)|~epred1_5(X1,X2,X9,X8,X7)|~in(X3,X7)),inference(spm,[status(thm)],[565,565,theory(equality)])).
% cnf(2042,plain,(topstr_closure(X1,esk28_6(X7,X8,X9,X5,X1,X6))=X4|~epred1_5(X1,X5,X4,X3,X2)|~in(X6,X3)|~epred1_5(X1,X5,X9,X8,X7)|~in(X6,X8)),inference(spm,[status(thm)],[442,1479,theory(equality)])).
% cnf(2088,negated_conjecture,(topstr_closure(esk22_0,esk28_6(X1,X2,X3,esk23_0,esk22_0,X4))=esk25_0|~epred1_5(esk22_0,esk23_0,X3,X2,X1)|~in(X4,esk26_0)|~in(X4,X2)),inference(spm,[status(thm)],[2042,427,theory(equality)])).
% cnf(2989,plain,(topstr_closure(X1,esk30_6(X7,X8,X9,X5,X1,X6))=X4|~epred1_5(X1,X5,X4,X3,X2)|~in(X6,X2)|~epred1_5(X1,X5,X9,X8,X7)|~in(X6,X7)),inference(spm,[status(thm)],[449,1663,theory(equality)])).
% cnf(3062,negated_conjecture,(topstr_closure(esk22_0,esk30_6(X1,X2,X3,esk23_0,esk22_0,X4))=esk25_0|~epred1_5(esk22_0,esk23_0,X3,X2,X1)|~in(X4,esk27_0)|~in(X4,X1)),inference(spm,[status(thm)],[2989,427,theory(equality)])).
% cnf(3455,plain,(in(esk29_6(X1,X2,X3,X4,X5,X6),X7)|topstr_closure(X5,esk28_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X3,X2,X1)|~epred1_5(X5,X4,X8,X9,X7)|~netstr_induced_subset(esk28_6(X1,X2,X3,X4,X5,X6),X5,X4)|~in(esk29_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~in(X6,X2)),inference(csr,[status(thm)],[1222,443])).
% cnf(3456,plain,(in(esk29_6(X1,X2,X3,X4,X5,X6),X7)|topstr_closure(X5,esk28_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X3,X2,X1)|~epred1_5(X5,X4,X8,X9,X7)|~in(esk29_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~in(X6,X2)),inference(csr,[status(thm)],[3455,444])).
% cnf(3458,plain,(in(X6,X7)|topstr_closure(X5,esk28_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X8,X9,X7)|~epred1_5(X5,X4,X3,X2,X1)|~in(X6,the_carrier(X4))|~in(X6,X2)),inference(spm,[status(thm)],[3456,441,theory(equality)])).
% cnf(3485,plain,(in(X6,X7)|topstr_closure(X5,esk28_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X8,X9,X7)|~epred1_5(X5,X4,X3,X2,X1)|~in(X6,X2)),inference(csr,[status(thm)],[3458,445])).
% cnf(3491,negated_conjecture,(in(X1,X2)|esk25_0!=X6|~epred1_5(esk22_0,esk23_0,X6,X7,X2)|~epred1_5(esk22_0,esk23_0,X5,X4,X3)|~in(X1,X4)|~in(X1,esk26_0)),inference(spm,[status(thm)],[3485,2088,theory(equality)])).
% cnf(3497,negated_conjecture,(in(X1,esk27_0)|~epred1_5(esk22_0,esk23_0,X2,X3,X4)|~in(X1,esk26_0)|~in(X1,X3)),inference(spm,[status(thm)],[3491,427,theory(equality)])).
% cnf(3498,negated_conjecture,(in(X1,esk27_0)|~in(X1,esk26_0)),inference(spm,[status(thm)],[3497,427,theory(equality)])).
% cnf(3507,negated_conjecture,(X1=esk27_0|~in(esk1_2(X1,esk27_0),X1)|~in(esk1_2(X1,esk27_0),esk26_0)),inference(spm,[status(thm)],[108,3498,theory(equality)])).
% cnf(3587,plain,(in(esk31_6(X1,X2,X3,X4,X5,X6),X7)|topstr_closure(X5,esk30_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X3,X2,X1)|~epred1_5(X5,X4,X8,X7,X9)|~netstr_induced_subset(esk30_6(X1,X2,X3,X4,X5,X6),X5,X4)|~in(esk31_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~in(X6,X1)),inference(csr,[status(thm)],[1298,450])).
% cnf(3588,plain,(in(esk31_6(X1,X2,X3,X4,X5,X6),X7)|topstr_closure(X5,esk30_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X3,X2,X1)|~epred1_5(X5,X4,X8,X7,X9)|~in(esk31_6(X1,X2,X3,X4,X5,X6),the_carrier(X4))|~in(X6,X1)),inference(csr,[status(thm)],[3587,451])).
% cnf(3590,plain,(in(X6,X7)|topstr_closure(X5,esk30_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X8,X7,X9)|~epred1_5(X5,X4,X3,X2,X1)|~in(X6,the_carrier(X4))|~in(X6,X1)),inference(spm,[status(thm)],[3588,448,theory(equality)])).
% cnf(3634,plain,(in(X6,X7)|topstr_closure(X5,esk30_6(X1,X2,X3,X4,X5,X6))!=X8|~epred1_5(X5,X4,X8,X7,X9)|~epred1_5(X5,X4,X3,X2,X1)|~in(X6,X1)),inference(csr,[status(thm)],[3590,452])).
% cnf(3642,negated_conjecture,(in(X1,X2)|esk25_0!=X6|~epred1_5(esk22_0,esk23_0,X6,X2,X7)|~epred1_5(esk22_0,esk23_0,X5,X4,X3)|~in(X1,X3)|~in(X1,esk27_0)),inference(spm,[status(thm)],[3634,3062,theory(equality)])).
% cnf(3647,negated_conjecture,(in(X1,esk26_0)|~epred1_5(esk22_0,esk23_0,X2,X3,X4)|~in(X1,esk27_0)|~in(X1,X4)),inference(spm,[status(thm)],[3642,427,theory(equality)])).
% cnf(3650,negated_conjecture,(in(X1,esk26_0)|~in(X1,esk27_0)),inference(spm,[status(thm)],[3647,427,theory(equality)])).
% cnf(3653,negated_conjecture,(in(esk1_2(X1,esk27_0),esk26_0)|X1=esk27_0|in(esk1_2(X1,esk27_0),X1)),inference(spm,[status(thm)],[3650,107,theory(equality)])).
% cnf(3658,negated_conjecture,(esk26_0=esk27_0|in(esk1_2(esk26_0,esk27_0),esk26_0)),inference(ef,[status(thm)],[3653,theory(equality)])).
% cnf(3664,negated_conjecture,(in(esk1_2(esk26_0,esk27_0),esk26_0)),inference(sr,[status(thm)],[3658,426,theory(equality)])).
% cnf(3668,negated_conjecture,(esk26_0=esk27_0|~in(esk1_2(esk26_0,esk27_0),esk26_0)),inference(spm,[status(thm)],[3507,3664,theory(equality)])).
% cnf(3670,negated_conjecture,(esk26_0=esk27_0|$false),inference(rw,[status(thm)],[3668,3664,theory(equality)])).
% cnf(3671,negated_conjecture,(esk26_0=esk27_0),inference(cn,[status(thm)],[3670,theory(equality)])).
% cnf(3672,negated_conjecture,($false),inference(sr,[status(thm)],[3671,426,theory(equality)])).
% cnf(3673,negated_conjecture,($false),3672,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 1280
% # ...of these trivial                : 0
% # ...subsumed                        : 489
% # ...remaining for further processing: 791
% # Other redundant clauses eliminated : 10
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 14
% # Backward-rewritten                 : 13
% # Generated clauses                  : 1698
% # ...of the previous two non-trivial : 1605
% # Contextual simplify-reflections    : 1023
% # Paramodulations                    : 1668
% # Factorizations                     : 4
% # Equation resolutions               : 26
% # Current number of processed clauses: 609
% #    Positive orientable unit clauses: 22
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 11
% #    Non-unit-clauses                : 576
% # Current number of unprocessed clauses: 632
% # ...number of literals in the above : 5543
% # Clause-clause subsumption calls (NU) : 75778
% # Rec. Clause-clause subsumption calls : 12986
% # Unit Clause-clause subsumption calls : 239
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 3
% # Indexed BW rewrite successes       : 3
% # Backwards rewriting index:   435 leaves,   1.92+/-2.955 terms/leaf
% # Paramod-from index:          241 leaves,   1.09+/-0.341 terms/leaf
% # Paramod-into index:          371 leaves,   1.55+/-1.754 terms/leaf
% # -------------------------------------------------
% # User time              : 0.279 s
% # System time            : 0.007 s
% # Total time             : 0.286 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.44 CPU 0.50 WC
% FINAL PrfWatch: 0.44 CPU 0.50 WC
% SZS output end Solution for /tmp/SystemOnTPTP9401/SEU401+1.tptp
% 
%------------------------------------------------------------------------------