TSTP Solution File: SEU311+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU311+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 : art01.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 03:22:58 EST 2010
% Result : Theorem 2.26s
% Output : Solution 2.26s
% 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/SystemOnTPTP1654/SEU311+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1654/SEU311+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1654/SEU311+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 1751
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:![X4]:(in(X4,X3)<=>(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2)))),file('/tmp/SRASS.s.p', s1_xboole_0__e2_37_1_1__pre_topc__1)).
% fof(4, axiom,![X1]:![X2]:(![X3]:(in(X3,X1)=>in(X3,X2))=>element(X1,powerset(X2))),file('/tmp/SRASS.s.p', l71_subset_1)).
% fof(8, axiom,![X1]:![X2]:((~(empty(X1))=>(element(X2,X1)<=>in(X2,X1)))&(empty(X1)=>(element(X2,X1)<=>empty(X2)))),file('/tmp/SRASS.s.p', d2_subset_1)).
% fof(13, axiom,![X1]:![X2]:~((in(X1,X2)&empty(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(14, axiom,![X1]:~(empty(powerset(X1))),file('/tmp/SRASS.s.p', fc1_subset_1)).
% fof(46, conjecture,![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:(element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>in(set_difference(cast_as_carrier_subset(X1),X4),X2))))),file('/tmp/SRASS.s.p', s3_subset_1__e2_37_1_1__pre_topc)).
% fof(47, negated_conjecture,~(![X1]:![X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))=>?[X3]:(element(X3,powerset(powerset(the_carrier(X1))))&![X4]:(element(X4,powerset(the_carrier(X1)))=>(in(X4,X3)<=>in(set_difference(cast_as_carrier_subset(X1),X4),X2)))))),inference(assume_negation,[status(cth)],[46])).
% fof(49, plain,![X1]:![X2]:((~(empty(X1))=>(element(X2,X1)<=>in(X2,X1)))&(empty(X1)=>(element(X2,X1)<=>empty(X2)))),inference(fof_simplification,[status(thm)],[8,theory(equality)])).
% fof(51, plain,![X1]:~(empty(powerset(X1))),inference(fof_simplification,[status(thm)],[14,theory(equality)])).
% fof(57, plain,![X1]:![X2]:(((~(topological_space(X1))|~(top_str(X1)))|~(element(X2,powerset(powerset(the_carrier(X1))))))|?[X3]:![X4]:((~(in(X4,X3))|(in(X4,powerset(the_carrier(X1)))&in(set_difference(cast_as_carrier_subset(X1),X4),X2)))&((~(in(X4,powerset(the_carrier(X1))))|~(in(set_difference(cast_as_carrier_subset(X1),X4),X2)))|in(X4,X3)))),inference(fof_nnf,[status(thm)],[2])).
% fof(58, plain,![X5]:![X6]:(((~(topological_space(X5))|~(top_str(X5)))|~(element(X6,powerset(powerset(the_carrier(X5))))))|?[X7]:![X8]:((~(in(X8,X7))|(in(X8,powerset(the_carrier(X5)))&in(set_difference(cast_as_carrier_subset(X5),X8),X6)))&((~(in(X8,powerset(the_carrier(X5))))|~(in(set_difference(cast_as_carrier_subset(X5),X8),X6)))|in(X8,X7)))),inference(variable_rename,[status(thm)],[57])).
% fof(59, plain,![X5]:![X6]:(((~(topological_space(X5))|~(top_str(X5)))|~(element(X6,powerset(powerset(the_carrier(X5))))))|![X8]:((~(in(X8,esk1_2(X5,X6)))|(in(X8,powerset(the_carrier(X5)))&in(set_difference(cast_as_carrier_subset(X5),X8),X6)))&((~(in(X8,powerset(the_carrier(X5))))|~(in(set_difference(cast_as_carrier_subset(X5),X8),X6)))|in(X8,esk1_2(X5,X6))))),inference(skolemize,[status(esa)],[58])).
% fof(60, plain,![X5]:![X6]:![X8]:(((~(in(X8,esk1_2(X5,X6)))|(in(X8,powerset(the_carrier(X5)))&in(set_difference(cast_as_carrier_subset(X5),X8),X6)))&((~(in(X8,powerset(the_carrier(X5))))|~(in(set_difference(cast_as_carrier_subset(X5),X8),X6)))|in(X8,esk1_2(X5,X6))))|((~(topological_space(X5))|~(top_str(X5)))|~(element(X6,powerset(powerset(the_carrier(X5))))))),inference(shift_quantors,[status(thm)],[59])).
% fof(61, plain,![X5]:![X6]:![X8]:((((in(X8,powerset(the_carrier(X5)))|~(in(X8,esk1_2(X5,X6))))|((~(topological_space(X5))|~(top_str(X5)))|~(element(X6,powerset(powerset(the_carrier(X5)))))))&((in(set_difference(cast_as_carrier_subset(X5),X8),X6)|~(in(X8,esk1_2(X5,X6))))|((~(topological_space(X5))|~(top_str(X5)))|~(element(X6,powerset(powerset(the_carrier(X5))))))))&(((~(in(X8,powerset(the_carrier(X5))))|~(in(set_difference(cast_as_carrier_subset(X5),X8),X6)))|in(X8,esk1_2(X5,X6)))|((~(topological_space(X5))|~(top_str(X5)))|~(element(X6,powerset(powerset(the_carrier(X5)))))))),inference(distribute,[status(thm)],[60])).
% cnf(62,plain,(in(X3,esk1_2(X2,X1))|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(set_difference(cast_as_carrier_subset(X2),X3),X1)|~in(X3,powerset(the_carrier(X2)))),inference(split_conjunct,[status(thm)],[61])).
% cnf(63,plain,(in(set_difference(cast_as_carrier_subset(X2),X3),X1)|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk1_2(X2,X1))),inference(split_conjunct,[status(thm)],[61])).
% cnf(64,plain,(in(X3,powerset(the_carrier(X2)))|~element(X1,powerset(powerset(the_carrier(X2))))|~top_str(X2)|~topological_space(X2)|~in(X3,esk1_2(X2,X1))),inference(split_conjunct,[status(thm)],[61])).
% fof(68, plain,![X1]:![X2]:(?[X3]:(in(X3,X1)&~(in(X3,X2)))|element(X1,powerset(X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(69, plain,![X4]:![X5]:(?[X6]:(in(X6,X4)&~(in(X6,X5)))|element(X4,powerset(X5))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X4]:![X5]:((in(esk3_2(X4,X5),X4)&~(in(esk3_2(X4,X5),X5)))|element(X4,powerset(X5))),inference(skolemize,[status(esa)],[69])).
% fof(71, plain,![X4]:![X5]:((in(esk3_2(X4,X5),X4)|element(X4,powerset(X5)))&(~(in(esk3_2(X4,X5),X5))|element(X4,powerset(X5)))),inference(distribute,[status(thm)],[70])).
% cnf(72,plain,(element(X1,powerset(X2))|~in(esk3_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[71])).
% cnf(73,plain,(element(X1,powerset(X2))|in(esk3_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[71])).
% fof(86, plain,![X1]:![X2]:((empty(X1)|((~(element(X2,X1))|in(X2,X1))&(~(in(X2,X1))|element(X2,X1))))&(~(empty(X1))|((~(element(X2,X1))|empty(X2))&(~(empty(X2))|element(X2,X1))))),inference(fof_nnf,[status(thm)],[49])).
% fof(87, plain,![X3]:![X4]:((empty(X3)|((~(element(X4,X3))|in(X4,X3))&(~(in(X4,X3))|element(X4,X3))))&(~(empty(X3))|((~(element(X4,X3))|empty(X4))&(~(empty(X4))|element(X4,X3))))),inference(variable_rename,[status(thm)],[86])).
% fof(88, plain,![X3]:![X4]:((((~(element(X4,X3))|in(X4,X3))|empty(X3))&((~(in(X4,X3))|element(X4,X3))|empty(X3)))&(((~(element(X4,X3))|empty(X4))|~(empty(X3)))&((~(empty(X4))|element(X4,X3))|~(empty(X3))))),inference(distribute,[status(thm)],[87])).
% cnf(91,plain,(empty(X1)|element(X2,X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[88])).
% cnf(92,plain,(empty(X1)|in(X2,X1)|~element(X2,X1)),inference(split_conjunct,[status(thm)],[88])).
% fof(110, plain,![X1]:![X2]:(~(in(X1,X2))|~(empty(X2))),inference(fof_nnf,[status(thm)],[13])).
% fof(111, plain,![X3]:![X4]:(~(in(X3,X4))|~(empty(X4))),inference(variable_rename,[status(thm)],[110])).
% cnf(112,plain,(~empty(X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[111])).
% fof(113, plain,![X2]:~(empty(powerset(X2))),inference(variable_rename,[status(thm)],[51])).
% cnf(114,plain,(~empty(powerset(X1))),inference(split_conjunct,[status(thm)],[113])).
% fof(255, negated_conjecture,?[X1]:?[X2]:(((topological_space(X1)&top_str(X1))&element(X2,powerset(powerset(the_carrier(X1)))))&![X3]:(~(element(X3,powerset(powerset(the_carrier(X1)))))|?[X4]:(element(X4,powerset(the_carrier(X1)))&((~(in(X4,X3))|~(in(set_difference(cast_as_carrier_subset(X1),X4),X2)))&(in(X4,X3)|in(set_difference(cast_as_carrier_subset(X1),X4),X2)))))),inference(fof_nnf,[status(thm)],[47])).
% fof(256, negated_conjecture,?[X5]:?[X6]:(((topological_space(X5)&top_str(X5))&element(X6,powerset(powerset(the_carrier(X5)))))&![X7]:(~(element(X7,powerset(powerset(the_carrier(X5)))))|?[X8]:(element(X8,powerset(the_carrier(X5)))&((~(in(X8,X7))|~(in(set_difference(cast_as_carrier_subset(X5),X8),X6)))&(in(X8,X7)|in(set_difference(cast_as_carrier_subset(X5),X8),X6)))))),inference(variable_rename,[status(thm)],[255])).
% fof(257, negated_conjecture,(((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))&![X7]:(~(element(X7,powerset(powerset(the_carrier(esk10_0)))))|(element(esk12_1(X7),powerset(the_carrier(esk10_0)))&((~(in(esk12_1(X7),X7))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0)))&(in(esk12_1(X7),X7)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0)))))),inference(skolemize,[status(esa)],[256])).
% fof(258, negated_conjecture,![X7]:((~(element(X7,powerset(powerset(the_carrier(esk10_0)))))|(element(esk12_1(X7),powerset(the_carrier(esk10_0)))&((~(in(esk12_1(X7),X7))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0)))&(in(esk12_1(X7),X7)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0)))))&((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))),inference(shift_quantors,[status(thm)],[257])).
% fof(259, negated_conjecture,![X7]:(((element(esk12_1(X7),powerset(the_carrier(esk10_0)))|~(element(X7,powerset(powerset(the_carrier(esk10_0))))))&(((~(in(esk12_1(X7),X7))|~(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0)))|~(element(X7,powerset(powerset(the_carrier(esk10_0))))))&((in(esk12_1(X7),X7)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X7)),esk11_0))|~(element(X7,powerset(powerset(the_carrier(esk10_0))))))))&((topological_space(esk10_0)&top_str(esk10_0))&element(esk11_0,powerset(powerset(the_carrier(esk10_0)))))),inference(distribute,[status(thm)],[258])).
% cnf(260,negated_conjecture,(element(esk11_0,powerset(powerset(the_carrier(esk10_0))))),inference(split_conjunct,[status(thm)],[259])).
% cnf(261,negated_conjecture,(top_str(esk10_0)),inference(split_conjunct,[status(thm)],[259])).
% cnf(262,negated_conjecture,(topological_space(esk10_0)),inference(split_conjunct,[status(thm)],[259])).
% cnf(263,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X1)),esk11_0)|in(esk12_1(X1),X1)|~element(X1,powerset(powerset(the_carrier(esk10_0))))),inference(split_conjunct,[status(thm)],[259])).
% cnf(264,negated_conjecture,(~element(X1,powerset(powerset(the_carrier(esk10_0))))|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(X1)),esk11_0)|~in(esk12_1(X1),X1)),inference(split_conjunct,[status(thm)],[259])).
% cnf(265,negated_conjecture,(element(esk12_1(X1),powerset(the_carrier(esk10_0)))|~element(X1,powerset(powerset(the_carrier(esk10_0))))),inference(split_conjunct,[status(thm)],[259])).
% cnf(266,plain,(element(X2,X1)|~in(X2,X1)),inference(csr,[status(thm)],[91,112])).
% cnf(508,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk11_0)),esk11_0)|in(esk12_1(esk11_0),esk11_0)),inference(spm,[status(thm)],[263,260,theory(equality)])).
% cnf(653,plain,(in(esk3_2(esk1_2(X1,X2),X3),powerset(the_carrier(X1)))|element(esk1_2(X1,X2),powerset(X3))|~element(X2,powerset(powerset(the_carrier(X1))))|~top_str(X1)|~topological_space(X1)),inference(spm,[status(thm)],[64,73,theory(equality)])).
% cnf(1020,negated_conjecture,(in(esk12_1(esk11_0),esk11_0)|~empty(esk11_0)),inference(spm,[status(thm)],[112,508,theory(equality)])).
% cnf(1052,negated_conjecture,(~empty(esk11_0)),inference(csr,[status(thm)],[1020,112])).
% cnf(4937,negated_conjecture,(element(esk1_2(esk10_0,esk11_0),powerset(X1))|in(esk3_2(esk1_2(esk10_0,esk11_0),X1),powerset(the_carrier(esk10_0)))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[653,260,theory(equality)])).
% cnf(4946,negated_conjecture,(element(esk1_2(esk10_0,esk11_0),powerset(X1))|in(esk3_2(esk1_2(esk10_0,esk11_0),X1),powerset(the_carrier(esk10_0)))|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[4937,261,theory(equality)])).
% cnf(4947,negated_conjecture,(element(esk1_2(esk10_0,esk11_0),powerset(X1))|in(esk3_2(esk1_2(esk10_0,esk11_0),X1),powerset(the_carrier(esk10_0)))|$false|$false),inference(rw,[status(thm)],[4946,262,theory(equality)])).
% cnf(4948,negated_conjecture,(element(esk1_2(esk10_0,esk11_0),powerset(X1))|in(esk3_2(esk1_2(esk10_0,esk11_0),X1),powerset(the_carrier(esk10_0)))),inference(cn,[status(thm)],[4947,theory(equality)])).
% cnf(4962,negated_conjecture,(element(esk1_2(esk10_0,esk11_0),powerset(powerset(the_carrier(esk10_0))))),inference(spm,[status(thm)],[72,4948,theory(equality)])).
% cnf(5006,negated_conjecture,(element(esk12_1(esk1_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[265,4962,theory(equality)])).
% cnf(5007,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[263,4962,theory(equality)])).
% cnf(5088,negated_conjecture,(empty(powerset(the_carrier(esk10_0)))|in(esk12_1(esk1_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(spm,[status(thm)],[92,5006,theory(equality)])).
% cnf(5128,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),powerset(the_carrier(esk10_0)))),inference(sr,[status(thm)],[5088,114,theory(equality)])).
% cnf(5132,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,X1))|~element(X1,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),X1)),inference(spm,[status(thm)],[62,5128,theory(equality)])).
% cnf(5142,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,X1))|~element(X1,powerset(powerset(the_carrier(esk10_0))))|$false|~topological_space(esk10_0)|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),X1)),inference(rw,[status(thm)],[5132,261,theory(equality)])).
% cnf(5143,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,X1))|~element(X1,powerset(powerset(the_carrier(esk10_0))))|$false|$false|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),X1)),inference(rw,[status(thm)],[5142,262,theory(equality)])).
% cnf(5144,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,X1))|~element(X1,powerset(powerset(the_carrier(esk10_0))))|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),X1)),inference(cn,[status(thm)],[5143,theory(equality)])).
% cnf(7688,negated_conjecture,(element(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,esk11_0))),inference(spm,[status(thm)],[266,5007,theory(equality)])).
% cnf(7708,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|element(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|~element(esk11_0,powerset(powerset(the_carrier(esk10_0))))|~top_str(esk10_0)|~topological_space(esk10_0)),inference(spm,[status(thm)],[63,7688,theory(equality)])).
% cnf(7722,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|element(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|$false|~top_str(esk10_0)|~topological_space(esk10_0)),inference(rw,[status(thm)],[7708,260,theory(equality)])).
% cnf(7723,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|element(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|$false|$false|~topological_space(esk10_0)),inference(rw,[status(thm)],[7722,261,theory(equality)])).
% cnf(7724,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|element(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|$false|$false|$false),inference(rw,[status(thm)],[7723,262,theory(equality)])).
% cnf(7725,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)|element(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)),inference(cn,[status(thm)],[7724,theory(equality)])).
% cnf(7728,negated_conjecture,(element(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)),inference(csr,[status(thm)],[7725,266])).
% cnf(7729,negated_conjecture,(empty(esk11_0)|in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)),inference(spm,[status(thm)],[92,7728,theory(equality)])).
% cnf(7757,negated_conjecture,(in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)),inference(sr,[status(thm)],[7729,1052,theory(equality)])).
% cnf(13857,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,esk11_0))|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)),inference(spm,[status(thm)],[5144,260,theory(equality)])).
% cnf(13868,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,esk11_0))|$false),inference(rw,[status(thm)],[13857,7757,theory(equality)])).
% cnf(13869,negated_conjecture,(in(esk12_1(esk1_2(esk10_0,esk11_0)),esk1_2(esk10_0,esk11_0))),inference(cn,[status(thm)],[13868,theory(equality)])).
% cnf(13876,negated_conjecture,(~element(esk1_2(esk10_0,esk11_0),powerset(powerset(the_carrier(esk10_0))))|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)),inference(spm,[status(thm)],[264,13869,theory(equality)])).
% cnf(13895,negated_conjecture,($false|~in(set_difference(cast_as_carrier_subset(esk10_0),esk12_1(esk1_2(esk10_0,esk11_0))),esk11_0)),inference(rw,[status(thm)],[13876,4962,theory(equality)])).
% cnf(13896,negated_conjecture,($false|$false),inference(rw,[status(thm)],[13895,7757,theory(equality)])).
% cnf(13897,negated_conjecture,($false),inference(cn,[status(thm)],[13896,theory(equality)])).
% cnf(13898,negated_conjecture,($false),13897,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6536
% # ...of these trivial : 26
% # ...subsumed : 4747
% # ...remaining for further processing: 1763
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 13
% # Backward-rewritten : 12
% # Generated clauses : 10037
% # ...of the previous two non-trivial : 9888
% # Contextual simplify-reflections : 3085
% # Paramodulations : 10010
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 1631
% # Positive orientable unit clauses: 53
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 24
% # Non-unit-clauses : 1554
% # Current number of unprocessed clauses: 3389
% # ...number of literals in the above : 16717
% # Clause-clause subsumption calls (NU) : 189809
% # Rec. Clause-clause subsumption calls : 110485
% # Unit Clause-clause subsumption calls : 170
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 52
% # Indexed BW rewrite successes : 14
% # Backwards rewriting index: 699 leaves, 1.39+/-0.873 terms/leaf
% # Paramod-from index: 130 leaves, 1.13+/-0.454 terms/leaf
% # Paramod-into index: 345 leaves, 1.27+/-0.751 terms/leaf
% # -------------------------------------------------
% # User time : 0.987 s
% # System time : 0.021 s
% # Total time : 1.008 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.24 CPU 1.33 WC
% FINAL PrfWatch: 1.24 CPU 1.33 WC
% SZS output end Solution for /tmp/SystemOnTPTP1654/SEU311+1.tptp
%
%------------------------------------------------------------------------------