TSTP Solution File: SEU383+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU383+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 : art02.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 : Thu Dec 30 04:27:04 EST 2010
% Result : Theorem 11.50s
% Output : Solution 11.50s
% 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/SystemOnTPTP7875/SEU383+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP7875/SEU383+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7875/SEU383+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 7971
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.03 WC
% PrfWatch: 3.53 CPU 4.03 WC
% PrfWatch: 5.18 CPU 6.04 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.17 CPU 8.04 WC
% PrfWatch: 9.17 CPU 10.05 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(rel_str(X1)=>element(bottom_of_relstr(X1),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_k3_yellow_0)).
% fof(11, axiom,![X1]:![X2]:(in(X1,X2)=>element(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(12, axiom,![X1]:![X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(13, axiom,![X1]:![X2]:![X3]:((in(X1,X2)&element(X2,powerset(X3)))=>element(X1,X3)),file('/tmp/SRASS.s.p', t4_subset)).
% fof(16, axiom,![X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>related(X1,bottom_of_relstr(X1),X2))),file('/tmp/SRASS.s.p', t44_yellow_0)).
% fof(17, axiom,![X1]:(rel_str(X1)=>![X2]:(element(X2,powerset(the_carrier(X1)))=>(upper_relstr_subset(X2,X1)<=>![X3]:(element(X3,the_carrier(X1))=>![X4]:(element(X4,the_carrier(X1))=>((in(X3,X2)&related(X1,X3,X4))=>in(X4,X2))))))),file('/tmp/SRASS.s.p', d20_waybel_0)).
% fof(20, axiom,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),file('/tmp/SRASS.s.p', fc1_struct_0)).
% fof(21, axiom,![X1]:![X2]:(element(X2,powerset(X1))=>(proper_element(X2,powerset(X1))<=>~(X2=X1))),file('/tmp/SRASS.s.p', t5_tex_2)).
% fof(28, axiom,![X1]:![X2]:(element(X1,powerset(X2))<=>subset(X1,X2)),file('/tmp/SRASS.s.p', t3_subset)).
% fof(33, axiom,![X1]:![X2]:subset(X1,X1),file('/tmp/SRASS.s.p', reflexivity_r1_tarski)).
% fof(34, axiom,![X1]:![X2]:(![X3]:(in(X3,X1)<=>in(X3,X2))=>X1=X2),file('/tmp/SRASS.s.p', t2_tarski)).
% fof(35, axiom,![X1]:(rel_str(X1)=>one_sorted_str(X1)),file('/tmp/SRASS.s.p', dt_l1_orders_2)).
% fof(45, conjecture,![X1]:((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:((((~(empty(X2))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))=>(proper_element(X2,powerset(the_carrier(X1)))<=>~(in(bottom_of_relstr(X1),X2))))),file('/tmp/SRASS.s.p', t8_waybel_7)).
% fof(46, negated_conjecture,~(![X1]:((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:((((~(empty(X2))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))=>(proper_element(X2,powerset(the_carrier(X1)))<=>~(in(bottom_of_relstr(X1),X2)))))),inference(assume_negation,[status(cth)],[45])).
% fof(52, plain,![X1]:((((~(empty_carrier(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>related(X1,bottom_of_relstr(X1),X2))),inference(fof_simplification,[status(thm)],[16,theory(equality)])).
% fof(55, plain,![X1]:((~(empty_carrier(X1))&one_sorted_str(X1))=>~(empty(the_carrier(X1)))),inference(fof_simplification,[status(thm)],[20,theory(equality)])).
% fof(61, negated_conjecture,~(![X1]:((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))=>![X2]:((((~(empty(X2))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))=>(proper_element(X2,powerset(the_carrier(X1)))<=>~(in(bottom_of_relstr(X1),X2)))))),inference(fof_simplification,[status(thm)],[46,theory(equality)])).
% fof(65, plain,![X1]:(~(rel_str(X1))|element(bottom_of_relstr(X1),the_carrier(X1))),inference(fof_nnf,[status(thm)],[2])).
% fof(66, plain,![X2]:(~(rel_str(X2))|element(bottom_of_relstr(X2),the_carrier(X2))),inference(variable_rename,[status(thm)],[65])).
% cnf(67,plain,(element(bottom_of_relstr(X1),the_carrier(X1))|~rel_str(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(100, plain,![X1]:![X2]:(~(in(X1,X2))|element(X1,X2)),inference(fof_nnf,[status(thm)],[11])).
% fof(101, plain,![X3]:![X4]:(~(in(X3,X4))|element(X3,X4)),inference(variable_rename,[status(thm)],[100])).
% cnf(102,plain,(element(X1,X2)|~in(X1,X2)),inference(split_conjunct,[status(thm)],[101])).
% fof(103, plain,![X1]:![X2]:(~(element(X1,X2))|(empty(X2)|in(X1,X2))),inference(fof_nnf,[status(thm)],[12])).
% fof(104, plain,![X3]:![X4]:(~(element(X3,X4))|(empty(X4)|in(X3,X4))),inference(variable_rename,[status(thm)],[103])).
% cnf(105,plain,(in(X1,X2)|empty(X2)|~element(X1,X2)),inference(split_conjunct,[status(thm)],[104])).
% fof(106, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|element(X1,X3)),inference(fof_nnf,[status(thm)],[13])).
% fof(107, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|element(X4,X6)),inference(variable_rename,[status(thm)],[106])).
% cnf(108,plain,(element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3)),inference(split_conjunct,[status(thm)],[107])).
% fof(115, plain,![X1]:((((empty_carrier(X1)|~(antisymmetric_relstr(X1)))|~(lower_bounded_relstr(X1)))|~(rel_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|related(X1,bottom_of_relstr(X1),X2))),inference(fof_nnf,[status(thm)],[52])).
% fof(116, plain,![X3]:((((empty_carrier(X3)|~(antisymmetric_relstr(X3)))|~(lower_bounded_relstr(X3)))|~(rel_str(X3)))|![X4]:(~(element(X4,the_carrier(X3)))|related(X3,bottom_of_relstr(X3),X4))),inference(variable_rename,[status(thm)],[115])).
% fof(117, plain,![X3]:![X4]:((~(element(X4,the_carrier(X3)))|related(X3,bottom_of_relstr(X3),X4))|(((empty_carrier(X3)|~(antisymmetric_relstr(X3)))|~(lower_bounded_relstr(X3)))|~(rel_str(X3)))),inference(shift_quantors,[status(thm)],[116])).
% cnf(118,plain,(empty_carrier(X1)|related(X1,bottom_of_relstr(X1),X2)|~rel_str(X1)|~lower_bounded_relstr(X1)|~antisymmetric_relstr(X1)|~element(X2,the_carrier(X1))),inference(split_conjunct,[status(thm)],[117])).
% fof(119, plain,![X1]:(~(rel_str(X1))|![X2]:(~(element(X2,powerset(the_carrier(X1))))|((~(upper_relstr_subset(X2,X1))|![X3]:(~(element(X3,the_carrier(X1)))|![X4]:(~(element(X4,the_carrier(X1)))|((~(in(X3,X2))|~(related(X1,X3,X4)))|in(X4,X2)))))&(?[X3]:(element(X3,the_carrier(X1))&?[X4]:(element(X4,the_carrier(X1))&((in(X3,X2)&related(X1,X3,X4))&~(in(X4,X2)))))|upper_relstr_subset(X2,X1))))),inference(fof_nnf,[status(thm)],[17])).
% fof(120, plain,![X5]:(~(rel_str(X5))|![X6]:(~(element(X6,powerset(the_carrier(X5))))|((~(upper_relstr_subset(X6,X5))|![X7]:(~(element(X7,the_carrier(X5)))|![X8]:(~(element(X8,the_carrier(X5)))|((~(in(X7,X6))|~(related(X5,X7,X8)))|in(X8,X6)))))&(?[X9]:(element(X9,the_carrier(X5))&?[X10]:(element(X10,the_carrier(X5))&((in(X9,X6)&related(X5,X9,X10))&~(in(X10,X6)))))|upper_relstr_subset(X6,X5))))),inference(variable_rename,[status(thm)],[119])).
% fof(121, plain,![X5]:(~(rel_str(X5))|![X6]:(~(element(X6,powerset(the_carrier(X5))))|((~(upper_relstr_subset(X6,X5))|![X7]:(~(element(X7,the_carrier(X5)))|![X8]:(~(element(X8,the_carrier(X5)))|((~(in(X7,X6))|~(related(X5,X7,X8)))|in(X8,X6)))))&((element(esk8_2(X5,X6),the_carrier(X5))&(element(esk9_2(X5,X6),the_carrier(X5))&((in(esk8_2(X5,X6),X6)&related(X5,esk8_2(X5,X6),esk9_2(X5,X6)))&~(in(esk9_2(X5,X6),X6)))))|upper_relstr_subset(X6,X5))))),inference(skolemize,[status(esa)],[120])).
% fof(122, plain,![X5]:![X6]:![X7]:![X8]:((((((~(element(X8,the_carrier(X5)))|((~(in(X7,X6))|~(related(X5,X7,X8)))|in(X8,X6)))|~(element(X7,the_carrier(X5))))|~(upper_relstr_subset(X6,X5)))&((element(esk8_2(X5,X6),the_carrier(X5))&(element(esk9_2(X5,X6),the_carrier(X5))&((in(esk8_2(X5,X6),X6)&related(X5,esk8_2(X5,X6),esk9_2(X5,X6)))&~(in(esk9_2(X5,X6),X6)))))|upper_relstr_subset(X6,X5)))|~(element(X6,powerset(the_carrier(X5)))))|~(rel_str(X5))),inference(shift_quantors,[status(thm)],[121])).
% fof(123, plain,![X5]:![X6]:![X7]:![X8]:((((((~(element(X8,the_carrier(X5)))|((~(in(X7,X6))|~(related(X5,X7,X8)))|in(X8,X6)))|~(element(X7,the_carrier(X5))))|~(upper_relstr_subset(X6,X5)))|~(element(X6,powerset(the_carrier(X5)))))|~(rel_str(X5)))&((((element(esk8_2(X5,X6),the_carrier(X5))|upper_relstr_subset(X6,X5))|~(element(X6,powerset(the_carrier(X5)))))|~(rel_str(X5)))&((((element(esk9_2(X5,X6),the_carrier(X5))|upper_relstr_subset(X6,X5))|~(element(X6,powerset(the_carrier(X5)))))|~(rel_str(X5)))&(((((in(esk8_2(X5,X6),X6)|upper_relstr_subset(X6,X5))|~(element(X6,powerset(the_carrier(X5)))))|~(rel_str(X5)))&(((related(X5,esk8_2(X5,X6),esk9_2(X5,X6))|upper_relstr_subset(X6,X5))|~(element(X6,powerset(the_carrier(X5)))))|~(rel_str(X5))))&(((~(in(esk9_2(X5,X6),X6))|upper_relstr_subset(X6,X5))|~(element(X6,powerset(the_carrier(X5)))))|~(rel_str(X5))))))),inference(distribute,[status(thm)],[122])).
% cnf(129,plain,(in(X4,X2)|~rel_str(X1)|~element(X2,powerset(the_carrier(X1)))|~upper_relstr_subset(X2,X1)|~element(X3,the_carrier(X1))|~related(X1,X3,X4)|~in(X3,X2)|~element(X4,the_carrier(X1))),inference(split_conjunct,[status(thm)],[123])).
% fof(141, plain,![X1]:((empty_carrier(X1)|~(one_sorted_str(X1)))|~(empty(the_carrier(X1)))),inference(fof_nnf,[status(thm)],[55])).
% fof(142, plain,![X2]:((empty_carrier(X2)|~(one_sorted_str(X2)))|~(empty(the_carrier(X2)))),inference(variable_rename,[status(thm)],[141])).
% cnf(143,plain,(empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1)),inference(split_conjunct,[status(thm)],[142])).
% fof(144, plain,![X1]:![X2]:(~(element(X2,powerset(X1)))|((~(proper_element(X2,powerset(X1)))|~(X2=X1))&(X2=X1|proper_element(X2,powerset(X1))))),inference(fof_nnf,[status(thm)],[21])).
% fof(145, plain,![X3]:![X4]:(~(element(X4,powerset(X3)))|((~(proper_element(X4,powerset(X3)))|~(X4=X3))&(X4=X3|proper_element(X4,powerset(X3))))),inference(variable_rename,[status(thm)],[144])).
% fof(146, plain,![X3]:![X4]:(((~(proper_element(X4,powerset(X3)))|~(X4=X3))|~(element(X4,powerset(X3))))&((X4=X3|proper_element(X4,powerset(X3)))|~(element(X4,powerset(X3))))),inference(distribute,[status(thm)],[145])).
% cnf(147,plain,(proper_element(X1,powerset(X2))|X1=X2|~element(X1,powerset(X2))),inference(split_conjunct,[status(thm)],[146])).
% cnf(148,plain,(~element(X1,powerset(X2))|X1!=X2|~proper_element(X1,powerset(X2))),inference(split_conjunct,[status(thm)],[146])).
% fof(176, plain,![X1]:![X2]:((~(element(X1,powerset(X2)))|subset(X1,X2))&(~(subset(X1,X2))|element(X1,powerset(X2)))),inference(fof_nnf,[status(thm)],[28])).
% fof(177, plain,![X3]:![X4]:((~(element(X3,powerset(X4)))|subset(X3,X4))&(~(subset(X3,X4))|element(X3,powerset(X4)))),inference(variable_rename,[status(thm)],[176])).
% cnf(178,plain,(element(X1,powerset(X2))|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[177])).
% fof(194, plain,![X3]:![X4]:subset(X3,X3),inference(variable_rename,[status(thm)],[33])).
% cnf(195,plain,(subset(X1,X1)),inference(split_conjunct,[status(thm)],[194])).
% fof(196, plain,![X1]:![X2]:(?[X3]:((~(in(X3,X1))|~(in(X3,X2)))&(in(X3,X1)|in(X3,X2)))|X1=X2),inference(fof_nnf,[status(thm)],[34])).
% fof(197, plain,![X4]:![X5]:(?[X6]:((~(in(X6,X4))|~(in(X6,X5)))&(in(X6,X4)|in(X6,X5)))|X4=X5),inference(variable_rename,[status(thm)],[196])).
% fof(198, plain,![X4]:![X5]:(((~(in(esk16_2(X4,X5),X4))|~(in(esk16_2(X4,X5),X5)))&(in(esk16_2(X4,X5),X4)|in(esk16_2(X4,X5),X5)))|X4=X5),inference(skolemize,[status(esa)],[197])).
% fof(199, plain,![X4]:![X5]:(((~(in(esk16_2(X4,X5),X4))|~(in(esk16_2(X4,X5),X5)))|X4=X5)&((in(esk16_2(X4,X5),X4)|in(esk16_2(X4,X5),X5))|X4=X5)),inference(distribute,[status(thm)],[198])).
% cnf(200,plain,(X1=X2|in(esk16_2(X1,X2),X2)|in(esk16_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[199])).
% cnf(201,plain,(X1=X2|~in(esk16_2(X1,X2),X2)|~in(esk16_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[199])).
% fof(202, plain,![X1]:(~(rel_str(X1))|one_sorted_str(X1)),inference(fof_nnf,[status(thm)],[35])).
% fof(203, plain,![X2]:(~(rel_str(X2))|one_sorted_str(X2)),inference(variable_rename,[status(thm)],[202])).
% cnf(204,plain,(one_sorted_str(X1)|~rel_str(X1)),inference(split_conjunct,[status(thm)],[203])).
% fof(220, negated_conjecture,?[X1]:((((((~(empty_carrier(X1))&reflexive_relstr(X1))&transitive_relstr(X1))&antisymmetric_relstr(X1))&lower_bounded_relstr(X1))&rel_str(X1))&?[X2]:((((~(empty(X2))&filtered_subset(X2,X1))&upper_relstr_subset(X2,X1))&element(X2,powerset(the_carrier(X1))))&((~(proper_element(X2,powerset(the_carrier(X1))))|in(bottom_of_relstr(X1),X2))&(proper_element(X2,powerset(the_carrier(X1)))|~(in(bottom_of_relstr(X1),X2)))))),inference(fof_nnf,[status(thm)],[61])).
% fof(221, negated_conjecture,?[X3]:((((((~(empty_carrier(X3))&reflexive_relstr(X3))&transitive_relstr(X3))&antisymmetric_relstr(X3))&lower_bounded_relstr(X3))&rel_str(X3))&?[X4]:((((~(empty(X4))&filtered_subset(X4,X3))&upper_relstr_subset(X4,X3))&element(X4,powerset(the_carrier(X3))))&((~(proper_element(X4,powerset(the_carrier(X3))))|in(bottom_of_relstr(X3),X4))&(proper_element(X4,powerset(the_carrier(X3)))|~(in(bottom_of_relstr(X3),X4)))))),inference(variable_rename,[status(thm)],[220])).
% fof(222, negated_conjecture,((((((~(empty_carrier(esk17_0))&reflexive_relstr(esk17_0))&transitive_relstr(esk17_0))&antisymmetric_relstr(esk17_0))&lower_bounded_relstr(esk17_0))&rel_str(esk17_0))&((((~(empty(esk18_0))&filtered_subset(esk18_0,esk17_0))&upper_relstr_subset(esk18_0,esk17_0))&element(esk18_0,powerset(the_carrier(esk17_0))))&((~(proper_element(esk18_0,powerset(the_carrier(esk17_0))))|in(bottom_of_relstr(esk17_0),esk18_0))&(proper_element(esk18_0,powerset(the_carrier(esk17_0)))|~(in(bottom_of_relstr(esk17_0),esk18_0)))))),inference(skolemize,[status(esa)],[221])).
% cnf(223,negated_conjecture,(proper_element(esk18_0,powerset(the_carrier(esk17_0)))|~in(bottom_of_relstr(esk17_0),esk18_0)),inference(split_conjunct,[status(thm)],[222])).
% cnf(224,negated_conjecture,(in(bottom_of_relstr(esk17_0),esk18_0)|~proper_element(esk18_0,powerset(the_carrier(esk17_0)))),inference(split_conjunct,[status(thm)],[222])).
% cnf(225,negated_conjecture,(element(esk18_0,powerset(the_carrier(esk17_0)))),inference(split_conjunct,[status(thm)],[222])).
% cnf(226,negated_conjecture,(upper_relstr_subset(esk18_0,esk17_0)),inference(split_conjunct,[status(thm)],[222])).
% cnf(228,negated_conjecture,(~empty(esk18_0)),inference(split_conjunct,[status(thm)],[222])).
% cnf(229,negated_conjecture,(rel_str(esk17_0)),inference(split_conjunct,[status(thm)],[222])).
% cnf(230,negated_conjecture,(lower_bounded_relstr(esk17_0)),inference(split_conjunct,[status(thm)],[222])).
% cnf(231,negated_conjecture,(antisymmetric_relstr(esk17_0)),inference(split_conjunct,[status(thm)],[222])).
% cnf(234,negated_conjecture,(~empty_carrier(esk17_0)),inference(split_conjunct,[status(thm)],[222])).
% cnf(237,negated_conjecture,(one_sorted_str(esk17_0)),inference(pm,[status(thm)],[204,229,theory(equality)])).
% cnf(245,plain,(element(X1,powerset(X1))),inference(pm,[status(thm)],[178,195,theory(equality)])).
% cnf(249,plain,(~proper_element(X1,powerset(X1))|~element(X1,powerset(X1))),inference(er,[status(thm)],[148,theory(equality)])).
% cnf(278,negated_conjecture,(element(bottom_of_relstr(esk17_0),the_carrier(esk17_0))),inference(pm,[status(thm)],[67,229,theory(equality)])).
% cnf(282,negated_conjecture,(esk18_0=the_carrier(esk17_0)|proper_element(esk18_0,powerset(the_carrier(esk17_0)))),inference(pm,[status(thm)],[147,225,theory(equality)])).
% cnf(291,negated_conjecture,(element(X1,the_carrier(esk17_0))|~in(X1,esk18_0)),inference(pm,[status(thm)],[108,225,theory(equality)])).
% cnf(343,plain,(element(esk16_2(X1,X2),X1)|X1=X2|in(esk16_2(X1,X2),X2)),inference(pm,[status(thm)],[102,200,theory(equality)])).
% cnf(367,negated_conjecture,(in(X1,esk18_0)|~related(esk17_0,X2,X1)|~upper_relstr_subset(esk18_0,esk17_0)|~element(X1,the_carrier(esk17_0))|~element(X2,the_carrier(esk17_0))|~rel_str(esk17_0)|~in(X2,esk18_0)),inference(pm,[status(thm)],[129,225,theory(equality)])).
% cnf(373,negated_conjecture,(in(X1,esk18_0)|~related(esk17_0,X2,X1)|$false|~element(X1,the_carrier(esk17_0))|~element(X2,the_carrier(esk17_0))|~rel_str(esk17_0)|~in(X2,esk18_0)),inference(rw,[status(thm)],[367,226,theory(equality)])).
% cnf(374,negated_conjecture,(in(X1,esk18_0)|~related(esk17_0,X2,X1)|$false|~element(X1,the_carrier(esk17_0))|~element(X2,the_carrier(esk17_0))|$false|~in(X2,esk18_0)),inference(rw,[status(thm)],[373,229,theory(equality)])).
% cnf(375,negated_conjecture,(in(X1,esk18_0)|~related(esk17_0,X2,X1)|~element(X1,the_carrier(esk17_0))|~element(X2,the_carrier(esk17_0))|~in(X2,esk18_0)),inference(cn,[status(thm)],[374,theory(equality)])).
% cnf(445,plain,(~proper_element(X1,powerset(X1))|$false),inference(rw,[status(thm)],[249,245,theory(equality)])).
% cnf(446,plain,(~proper_element(X1,powerset(X1))),inference(cn,[status(thm)],[445,theory(equality)])).
% cnf(467,negated_conjecture,(empty(the_carrier(esk17_0))|in(bottom_of_relstr(esk17_0),the_carrier(esk17_0))),inference(pm,[status(thm)],[105,278,theory(equality)])).
% cnf(646,negated_conjecture,(in(bottom_of_relstr(esk17_0),esk18_0)|the_carrier(esk17_0)=esk18_0),inference(pm,[status(thm)],[224,282,theory(equality)])).
% cnf(1125,negated_conjecture,(element(esk16_2(X1,esk18_0),the_carrier(esk17_0))|X1=esk18_0|element(esk16_2(X1,esk18_0),X1)),inference(pm,[status(thm)],[291,343,theory(equality)])).
% cnf(14251,negated_conjecture,(the_carrier(esk17_0)=esk18_0|element(esk16_2(the_carrier(esk17_0),esk18_0),the_carrier(esk17_0))),inference(ef,[status(thm)],[1125,theory(equality)])).
% cnf(14275,negated_conjecture,(empty(the_carrier(esk17_0))|in(esk16_2(the_carrier(esk17_0),esk18_0),the_carrier(esk17_0))|the_carrier(esk17_0)=esk18_0),inference(pm,[status(thm)],[105,14251,theory(equality)])).
% cnf(14276,negated_conjecture,(related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(the_carrier(esk17_0),esk18_0))|empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0|~lower_bounded_relstr(esk17_0)|~antisymmetric_relstr(esk17_0)|~rel_str(esk17_0)),inference(pm,[status(thm)],[118,14251,theory(equality)])).
% cnf(14277,negated_conjecture,(in(esk16_2(the_carrier(esk17_0),esk18_0),esk18_0)|the_carrier(esk17_0)=esk18_0|~related(esk17_0,X1,esk16_2(the_carrier(esk17_0),esk18_0))|~element(X1,the_carrier(esk17_0))|~in(X1,esk18_0)),inference(pm,[status(thm)],[375,14251,theory(equality)])).
% cnf(14279,negated_conjecture,(related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(the_carrier(esk17_0),esk18_0))|empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0|$false|~antisymmetric_relstr(esk17_0)|~rel_str(esk17_0)),inference(rw,[status(thm)],[14276,230,theory(equality)])).
% cnf(14280,negated_conjecture,(related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(the_carrier(esk17_0),esk18_0))|empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0|$false|$false|~rel_str(esk17_0)),inference(rw,[status(thm)],[14279,231,theory(equality)])).
% cnf(14281,negated_conjecture,(related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(the_carrier(esk17_0),esk18_0))|empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0|$false|$false|$false),inference(rw,[status(thm)],[14280,229,theory(equality)])).
% cnf(14282,negated_conjecture,(related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(the_carrier(esk17_0),esk18_0))|empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0),inference(cn,[status(thm)],[14281,theory(equality)])).
% cnf(14283,negated_conjecture,(related(esk17_0,bottom_of_relstr(esk17_0),esk16_2(the_carrier(esk17_0),esk18_0))|the_carrier(esk17_0)=esk18_0),inference(sr,[status(thm)],[14282,234,theory(equality)])).
% cnf(173322,negated_conjecture,(the_carrier(esk17_0)=esk18_0|in(esk16_2(the_carrier(esk17_0),esk18_0),esk18_0)|~element(bottom_of_relstr(esk17_0),the_carrier(esk17_0))|~in(bottom_of_relstr(esk17_0),esk18_0)),inference(pm,[status(thm)],[14277,14283,theory(equality)])).
% cnf(173327,negated_conjecture,(the_carrier(esk17_0)=esk18_0|in(esk16_2(the_carrier(esk17_0),esk18_0),esk18_0)|$false|~in(bottom_of_relstr(esk17_0),esk18_0)),inference(rw,[status(thm)],[173322,278,theory(equality)])).
% cnf(173328,negated_conjecture,(the_carrier(esk17_0)=esk18_0|in(esk16_2(the_carrier(esk17_0),esk18_0),esk18_0)|~in(bottom_of_relstr(esk17_0),esk18_0)),inference(cn,[status(thm)],[173327,theory(equality)])).
% cnf(173329,negated_conjecture,(the_carrier(esk17_0)=esk18_0|in(esk16_2(the_carrier(esk17_0),esk18_0),esk18_0)),inference(pm,[status(thm)],[173328,646,theory(equality)])).
% cnf(173334,negated_conjecture,(the_carrier(esk17_0)=esk18_0|~in(esk16_2(the_carrier(esk17_0),esk18_0),the_carrier(esk17_0))),inference(pm,[status(thm)],[201,173329,theory(equality)])).
% cnf(173341,negated_conjecture,(the_carrier(esk17_0)=esk18_0|empty(the_carrier(esk17_0))),inference(pm,[status(thm)],[173334,14275,theory(equality)])).
% cnf(173816,negated_conjecture,(empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0|~one_sorted_str(esk17_0)),inference(pm,[status(thm)],[143,173341,theory(equality)])).
% cnf(173822,negated_conjecture,(empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0|$false),inference(rw,[status(thm)],[173816,237,theory(equality)])).
% cnf(173823,negated_conjecture,(empty_carrier(esk17_0)|the_carrier(esk17_0)=esk18_0),inference(cn,[status(thm)],[173822,theory(equality)])).
% cnf(173824,negated_conjecture,(the_carrier(esk17_0)=esk18_0),inference(sr,[status(thm)],[173823,234,theory(equality)])).
% cnf(175318,negated_conjecture,(empty(esk18_0)|in(bottom_of_relstr(esk17_0),the_carrier(esk17_0))),inference(rw,[status(thm)],[467,173824,theory(equality)])).
% cnf(175319,negated_conjecture,(empty(esk18_0)|in(bottom_of_relstr(esk17_0),esk18_0)),inference(rw,[status(thm)],[175318,173824,theory(equality)])).
% cnf(175320,negated_conjecture,(in(bottom_of_relstr(esk17_0),esk18_0)),inference(sr,[status(thm)],[175319,228,theory(equality)])).
% cnf(175346,negated_conjecture,(proper_element(esk18_0,powerset(esk18_0))|~in(bottom_of_relstr(esk17_0),esk18_0)),inference(rw,[status(thm)],[223,173824,theory(equality)])).
% cnf(175347,negated_conjecture,(~in(bottom_of_relstr(esk17_0),esk18_0)),inference(sr,[status(thm)],[175346,446,theory(equality)])).
% cnf(175613,negated_conjecture,($false),inference(sr,[status(thm)],[175320,175347,theory(equality)])).
% cnf(175614,negated_conjecture,($false),175613,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 7418
% # ...of these trivial : 21
% # ...subsumed : 3579
% # ...remaining for further processing: 3818
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 49
% # Backward-rewritten : 1118
% # Generated clauses : 165381
% # ...of the previous two non-trivial : 164587
% # Contextual simplify-reflections : 0
% # Paramodulations : 165177
% # Factorizations : 197
% # Equation resolutions : 1
% # Current number of processed clauses: 2649
% # Positive orientable unit clauses: 74
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 15
% # Non-unit-clauses : 2560
% # Current number of unprocessed clauses: 120900
% # ...number of literals in the above : 531316
% # Clause-clause subsumption calls (NU) : 140089
% # Rec. Clause-clause subsumption calls : 42709
% # Unit Clause-clause subsumption calls : 2430
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 1869
% # Indexed BW rewrite successes : 18
% # Backwards rewriting index: 1485 leaves, 3.25+/-12.794 terms/leaf
% # Paramod-from index: 406 leaves, 3.69+/-17.154 terms/leaf
% # Paramod-into index: 1165 leaves, 3.25+/-13.313 terms/leaf
% # -------------------------------------------------
% # User time : 6.776 s
% # System time : 0.264 s
% # Total time : 7.040 s
% # Maximum resident set size: 0 pages
% PrfWatch: 10.61 CPU 11.73 WC
% FINAL PrfWatch: 10.61 CPU 11.73 WC
% SZS output end Solution for /tmp/SystemOnTPTP7875/SEU383+1.tptp
%
%------------------------------------------------------------------------------