TSTP Solution File: SEU266+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU266+2 : TPTP v5.0.0. Released v3.3.0.
% 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 : Thu Dec 30 02:43:11 EST 2010
% Result : Theorem 33.34s
% Output : Solution 33.34s
% 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/SystemOnTPTP2606/SEU266+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP2606/SEU266+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP2606/SEU266+2.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 2738
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.88 CPU 12.03 WC
% PrfWatch: 13.85 CPU 14.04 WC
% PrfWatch: 15.43 CPU 16.04 WC
% PrfWatch: 17.13 CPU 18.05 WC
% PrfWatch: 19.12 CPU 20.05 WC
% PrfWatch: 21.11 CPU 22.06 WC
% # Preprocessing time : 0.076 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 23.09 CPU 24.06 WC
% PrfWatch: 25.08 CPU 26.07 WC
% PrfWatch: 27.07 CPU 28.07 WC
% # SZS output start CNFRefutation.
% fof(54, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)<=>relation_of2(X3,X1,X2)),file('/tmp/SRASS.s.p', redefinition_m2_relset_1)).
% fof(58, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(59, axiom,![X1]:![X2]:![X3]:(relation_of2(X3,X1,X2)=>relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)),file('/tmp/SRASS.s.p', redefinition_k5_relset_1)).
% fof(60, axiom,![X1]:![X2]:(X1=X2<=>(subset(X1,X2)&subset(X2,X1))),file('/tmp/SRASS.s.p', d10_xboole_0)).
% fof(61, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(73, axiom,![X1]:![X2]:![X3]:(relation(X3)=>(in(ordered_pair(X1,X2),X3)=>(in(X1,relation_dom(X3))&in(X2,relation_rng(X3))))),file('/tmp/SRASS.s.p', t20_relat_1)).
% fof(75, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(83, axiom,![X1]:![X2]:![X3]:(relation(X3)=>(in(X1,relation_image(X3,X2))<=>?[X4]:((in(X4,relation_dom(X3))&in(ordered_pair(X4,X1),X3))&in(X4,X2)))),file('/tmp/SRASS.s.p', t143_relat_1)).
% fof(148, axiom,![X1]:unordered_pair(X1,X1)=singleton(X1),file('/tmp/SRASS.s.p', t69_enumset1)).
% fof(165, axiom,![X1]:(relation(X1)=>relation_image(X1,relation_dom(X1))=relation_rng(X1)),file('/tmp/SRASS.s.p', t146_relat_1)).
% fof(184, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>element(X3,powerset(cartesian_product2(X1,X2)))),file('/tmp/SRASS.s.p', dt_m2_relset_1)).
% fof(201, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>(subset(relation_dom(X3),X1)&subset(relation_rng(X3),X2))),file('/tmp/SRASS.s.p', t12_relset_1)).
% fof(269, axiom,![X1]:![X2]:![X3]:(relation_of2(X3,X1,X2)<=>subset(X3,cartesian_product2(X1,X2))),file('/tmp/SRASS.s.p', d1_relset_1)).
% fof(306, axiom,![X1]:![X2]:![X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)),file('/tmp/SRASS.s.p', cc1_relset_1)).
% fof(337, conjecture,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X5,X4),X3))))<=>relation_rng_as_subset(X1,X2,X3)=X2)),file('/tmp/SRASS.s.p', t23_relset_1)).
% fof(338, negated_conjecture,~(![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X5,X4),X3))))<=>relation_rng_as_subset(X1,X2,X3)=X2))),inference(assume_negation,[status(cth)],[337])).
% fof(375, negated_conjecture,~(![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X5,X4),X3))))<=>relation_rng_as_subset(X1,X2,X3)=X2))),inference(fof_simplification,[status(thm)],[338,theory(equality)])).
% fof(768, plain,![X1]:![X2]:![X3]:((~(relation_of2_as_subset(X3,X1,X2))|relation_of2(X3,X1,X2))&(~(relation_of2(X3,X1,X2))|relation_of2_as_subset(X3,X1,X2))),inference(fof_nnf,[status(thm)],[54])).
% fof(769, plain,![X4]:![X5]:![X6]:((~(relation_of2_as_subset(X6,X4,X5))|relation_of2(X6,X4,X5))&(~(relation_of2(X6,X4,X5))|relation_of2_as_subset(X6,X4,X5))),inference(variable_rename,[status(thm)],[768])).
% cnf(771,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[769])).
% fof(788, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(in(X3,X1))|in(X3,X2)))&(?[X3]:(in(X3,X1)&~(in(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[58])).
% fof(789, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&(?[X7]:(in(X7,X4)&~(in(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[788])).
% fof(790, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk76_2(X4,X5),X4)&~(in(esk76_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[789])).
% fof(791, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk76_2(X4,X5),X4)&~(in(esk76_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[790])).
% fof(792, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk76_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk76_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[791])).
% cnf(793,plain,(subset(X1,X2)|~in(esk76_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[792])).
% cnf(794,plain,(subset(X1,X2)|in(esk76_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[792])).
% fof(796, plain,![X1]:![X2]:![X3]:(~(relation_of2(X3,X1,X2))|relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)),inference(fof_nnf,[status(thm)],[59])).
% fof(797, plain,![X4]:![X5]:![X6]:(~(relation_of2(X6,X4,X5))|relation_rng_as_subset(X4,X5,X6)=relation_rng(X6)),inference(variable_rename,[status(thm)],[796])).
% cnf(798,plain,(relation_rng_as_subset(X1,X2,X3)=relation_rng(X3)|~relation_of2(X3,X1,X2)),inference(split_conjunct,[status(thm)],[797])).
% fof(799, plain,![X1]:![X2]:((~(X1=X2)|(subset(X1,X2)&subset(X2,X1)))&((~(subset(X1,X2))|~(subset(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[60])).
% fof(800, plain,![X3]:![X4]:((~(X3=X4)|(subset(X3,X4)&subset(X4,X3)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[799])).
% fof(801, plain,![X3]:![X4]:(((subset(X3,X4)|~(X3=X4))&(subset(X4,X3)|~(X3=X4)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(distribute,[status(thm)],[800])).
% cnf(802,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[801])).
% fof(805, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[61])).
% cnf(806,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[805])).
% fof(861, plain,![X1]:![X2]:![X3]:(~(relation(X3))|(~(in(ordered_pair(X1,X2),X3))|(in(X1,relation_dom(X3))&in(X2,relation_rng(X3))))),inference(fof_nnf,[status(thm)],[73])).
% fof(862, plain,![X4]:![X5]:![X6]:(~(relation(X6))|(~(in(ordered_pair(X4,X5),X6))|(in(X4,relation_dom(X6))&in(X5,relation_rng(X6))))),inference(variable_rename,[status(thm)],[861])).
% fof(863, plain,![X4]:![X5]:![X6]:(((in(X4,relation_dom(X6))|~(in(ordered_pair(X4,X5),X6)))|~(relation(X6)))&((in(X5,relation_rng(X6))|~(in(ordered_pair(X4,X5),X6)))|~(relation(X6)))),inference(distribute,[status(thm)],[862])).
% cnf(864,plain,(in(X3,relation_rng(X1))|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[863])).
% fof(869, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[75])).
% cnf(870,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[869])).
% fof(892, plain,![X1]:![X2]:![X3]:(~(relation(X3))|((~(in(X1,relation_image(X3,X2)))|?[X4]:((in(X4,relation_dom(X3))&in(ordered_pair(X4,X1),X3))&in(X4,X2)))&(![X4]:((~(in(X4,relation_dom(X3)))|~(in(ordered_pair(X4,X1),X3)))|~(in(X4,X2)))|in(X1,relation_image(X3,X2))))),inference(fof_nnf,[status(thm)],[83])).
% fof(893, plain,![X5]:![X6]:![X7]:(~(relation(X7))|((~(in(X5,relation_image(X7,X6)))|?[X8]:((in(X8,relation_dom(X7))&in(ordered_pair(X8,X5),X7))&in(X8,X6)))&(![X9]:((~(in(X9,relation_dom(X7)))|~(in(ordered_pair(X9,X5),X7)))|~(in(X9,X6)))|in(X5,relation_image(X7,X6))))),inference(variable_rename,[status(thm)],[892])).
% fof(894, plain,![X5]:![X6]:![X7]:(~(relation(X7))|((~(in(X5,relation_image(X7,X6)))|((in(esk83_3(X5,X6,X7),relation_dom(X7))&in(ordered_pair(esk83_3(X5,X6,X7),X5),X7))&in(esk83_3(X5,X6,X7),X6)))&(![X9]:((~(in(X9,relation_dom(X7)))|~(in(ordered_pair(X9,X5),X7)))|~(in(X9,X6)))|in(X5,relation_image(X7,X6))))),inference(skolemize,[status(esa)],[893])).
% fof(895, plain,![X5]:![X6]:![X7]:![X9]:(((((~(in(X9,relation_dom(X7)))|~(in(ordered_pair(X9,X5),X7)))|~(in(X9,X6)))|in(X5,relation_image(X7,X6)))&(~(in(X5,relation_image(X7,X6)))|((in(esk83_3(X5,X6,X7),relation_dom(X7))&in(ordered_pair(esk83_3(X5,X6,X7),X5),X7))&in(esk83_3(X5,X6,X7),X6))))|~(relation(X7))),inference(shift_quantors,[status(thm)],[894])).
% fof(896, plain,![X5]:![X6]:![X7]:![X9]:(((((~(in(X9,relation_dom(X7)))|~(in(ordered_pair(X9,X5),X7)))|~(in(X9,X6)))|in(X5,relation_image(X7,X6)))|~(relation(X7)))&((((in(esk83_3(X5,X6,X7),relation_dom(X7))|~(in(X5,relation_image(X7,X6))))|~(relation(X7)))&((in(ordered_pair(esk83_3(X5,X6,X7),X5),X7)|~(in(X5,relation_image(X7,X6))))|~(relation(X7))))&((in(esk83_3(X5,X6,X7),X6)|~(in(X5,relation_image(X7,X6))))|~(relation(X7))))),inference(distribute,[status(thm)],[895])).
% cnf(898,plain,(in(ordered_pair(esk83_3(X2,X3,X1),X2),X1)|~relation(X1)|~in(X2,relation_image(X1,X3))),inference(split_conjunct,[status(thm)],[896])).
% fof(1144, plain,![X2]:unordered_pair(X2,X2)=singleton(X2),inference(variable_rename,[status(thm)],[148])).
% cnf(1145,plain,(unordered_pair(X1,X1)=singleton(X1)),inference(split_conjunct,[status(thm)],[1144])).
% fof(1221, plain,![X1]:(~(relation(X1))|relation_image(X1,relation_dom(X1))=relation_rng(X1)),inference(fof_nnf,[status(thm)],[165])).
% fof(1222, plain,![X2]:(~(relation(X2))|relation_image(X2,relation_dom(X2))=relation_rng(X2)),inference(variable_rename,[status(thm)],[1221])).
% cnf(1223,plain,(relation_image(X1,relation_dom(X1))=relation_rng(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[1222])).
% fof(1303, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|element(X3,powerset(cartesian_product2(X1,X2)))),inference(fof_nnf,[status(thm)],[184])).
% fof(1304, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|element(X6,powerset(cartesian_product2(X4,X5)))),inference(variable_rename,[status(thm)],[1303])).
% cnf(1305,plain,(element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[1304])).
% fof(1372, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|(subset(relation_dom(X3),X1)&subset(relation_rng(X3),X2))),inference(fof_nnf,[status(thm)],[201])).
% fof(1373, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|(subset(relation_dom(X6),X4)&subset(relation_rng(X6),X5))),inference(variable_rename,[status(thm)],[1372])).
% fof(1374, plain,![X4]:![X5]:![X6]:((subset(relation_dom(X6),X4)|~(relation_of2_as_subset(X6,X4,X5)))&(subset(relation_rng(X6),X5)|~(relation_of2_as_subset(X6,X4,X5)))),inference(distribute,[status(thm)],[1373])).
% cnf(1375,plain,(subset(relation_rng(X1),X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[1374])).
% fof(1662, plain,![X1]:![X2]:![X3]:((~(relation_of2(X3,X1,X2))|subset(X3,cartesian_product2(X1,X2)))&(~(subset(X3,cartesian_product2(X1,X2)))|relation_of2(X3,X1,X2))),inference(fof_nnf,[status(thm)],[269])).
% fof(1663, plain,![X4]:![X5]:![X6]:((~(relation_of2(X6,X4,X5))|subset(X6,cartesian_product2(X4,X5)))&(~(subset(X6,cartesian_product2(X4,X5)))|relation_of2(X6,X4,X5))),inference(variable_rename,[status(thm)],[1662])).
% cnf(1664,plain,(relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3))),inference(split_conjunct,[status(thm)],[1663])).
% cnf(1665,plain,(subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3)),inference(split_conjunct,[status(thm)],[1663])).
% fof(1844, plain,![X1]:![X2]:![X3]:(~(element(X3,powerset(cartesian_product2(X1,X2))))|relation(X3)),inference(fof_nnf,[status(thm)],[306])).
% fof(1845, plain,![X4]:![X5]:![X6]:(~(element(X6,powerset(cartesian_product2(X4,X5))))|relation(X6)),inference(variable_rename,[status(thm)],[1844])).
% cnf(1846,plain,(relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))),inference(split_conjunct,[status(thm)],[1845])).
% fof(1922, negated_conjecture,?[X1]:?[X2]:?[X3]:(relation_of2_as_subset(X3,X1,X2)&((?[X4]:(in(X4,X2)&![X5]:~(in(ordered_pair(X5,X4),X3)))|~(relation_rng_as_subset(X1,X2,X3)=X2))&(![X4]:(~(in(X4,X2))|?[X5]:in(ordered_pair(X5,X4),X3))|relation_rng_as_subset(X1,X2,X3)=X2))),inference(fof_nnf,[status(thm)],[375])).
% fof(1923, negated_conjecture,?[X6]:?[X7]:?[X8]:(relation_of2_as_subset(X8,X6,X7)&((?[X9]:(in(X9,X7)&![X10]:~(in(ordered_pair(X10,X9),X8)))|~(relation_rng_as_subset(X6,X7,X8)=X7))&(![X11]:(~(in(X11,X7))|?[X12]:in(ordered_pair(X12,X11),X8))|relation_rng_as_subset(X6,X7,X8)=X7))),inference(variable_rename,[status(thm)],[1922])).
% fof(1924, negated_conjecture,(relation_of2_as_subset(esk129_0,esk127_0,esk128_0)&(((in(esk130_0,esk128_0)&![X10]:~(in(ordered_pair(X10,esk130_0),esk129_0)))|~(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0))&(![X11]:(~(in(X11,esk128_0))|in(ordered_pair(esk131_1(X11),X11),esk129_0))|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0))),inference(skolemize,[status(esa)],[1923])).
% fof(1925, negated_conjecture,![X10]:![X11]:((((~(in(X11,esk128_0))|in(ordered_pair(esk131_1(X11),X11),esk129_0))|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0)&((~(in(ordered_pair(X10,esk130_0),esk129_0))&in(esk130_0,esk128_0))|~(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0)))&relation_of2_as_subset(esk129_0,esk127_0,esk128_0)),inference(shift_quantors,[status(thm)],[1924])).
% fof(1926, negated_conjecture,![X10]:![X11]:((((~(in(X11,esk128_0))|in(ordered_pair(esk131_1(X11),X11),esk129_0))|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0)&((~(in(ordered_pair(X10,esk130_0),esk129_0))|~(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0))&(in(esk130_0,esk128_0)|~(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0))))&relation_of2_as_subset(esk129_0,esk127_0,esk128_0)),inference(distribute,[status(thm)],[1925])).
% cnf(1927,negated_conjecture,(relation_of2_as_subset(esk129_0,esk127_0,esk128_0)),inference(split_conjunct,[status(thm)],[1926])).
% cnf(1928,negated_conjecture,(in(esk130_0,esk128_0)|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)!=esk128_0),inference(split_conjunct,[status(thm)],[1926])).
% cnf(1929,negated_conjecture,(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)!=esk128_0|~in(ordered_pair(X1,esk130_0),esk129_0)),inference(split_conjunct,[status(thm)],[1926])).
% cnf(1930,negated_conjecture,(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0|in(ordered_pair(esk131_1(X1),X1),esk129_0)|~in(X1,esk128_0)),inference(split_conjunct,[status(thm)],[1926])).
% cnf(1944,plain,(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))=ordered_pair(X1,X2)),inference(rw,[status(thm)],[806,1145,theory(equality)]),['unfolding']).
% cnf(2025,negated_conjecture,(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0|in(unordered_pair(unordered_pair(esk131_1(X1),X1),unordered_pair(esk131_1(X1),esk131_1(X1))),esk129_0)|~in(X1,esk128_0)),inference(rw,[status(thm)],[1930,1944,theory(equality)]),['unfolding']).
% cnf(2034,plain,(in(X3,relation_rng(X1))|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)),inference(rw,[status(thm)],[864,1944,theory(equality)]),['unfolding']).
% cnf(2052,plain,(in(unordered_pair(unordered_pair(esk83_3(X2,X3,X1),X2),unordered_pair(esk83_3(X2,X3,X1),esk83_3(X2,X3,X1))),X1)|~relation(X1)|~in(X2,relation_image(X1,X3))),inference(rw,[status(thm)],[898,1944,theory(equality)]),['unfolding']).
% cnf(2128,negated_conjecture,(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)!=esk128_0|~in(unordered_pair(unordered_pair(X1,esk130_0),unordered_pair(X1,X1)),esk129_0)),inference(rw,[status(thm)],[1929,1944,theory(equality)]),['unfolding']).
% cnf(2148,negated_conjecture,(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0|in(unordered_pair(unordered_pair(X1,esk131_1(X1)),unordered_pair(esk131_1(X1),esk131_1(X1))),esk129_0)|~in(X1,esk128_0)),inference(rw,[status(thm)],[2025,870,theory(equality)])).
% cnf(2208,plain,(in(unordered_pair(unordered_pair(X2,esk83_3(X2,X3,X1)),unordered_pair(esk83_3(X2,X3,X1),esk83_3(X2,X3,X1))),X1)|~relation(X1)|~in(X2,relation_image(X1,X3))),inference(rw,[status(thm)],[2052,870,theory(equality)])).
% cnf(2516,negated_conjecture,(subset(relation_rng(esk129_0),esk128_0)),inference(spm,[status(thm)],[1375,1927,theory(equality)])).
% cnf(2960,plain,(subset(X1,cartesian_product2(X2,X3))|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[1665,771,theory(equality)])).
% cnf(3042,negated_conjecture,(in(esk130_0,esk128_0)|relation_rng(esk129_0)!=esk128_0|~relation_of2(esk129_0,esk127_0,esk128_0)),inference(spm,[status(thm)],[1928,798,theory(equality)])).
% cnf(3043,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(unordered_pair(unordered_pair(X1,esk130_0),unordered_pair(X1,X1)),esk129_0)|~relation_of2(esk129_0,esk127_0,esk128_0)),inference(spm,[status(thm)],[2128,798,theory(equality)])).
% cnf(3215,plain,(in(X1,relation_rng(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X3),unordered_pair(X3,X3)),X2)),inference(spm,[status(thm)],[2034,870,theory(equality)])).
% cnf(3776,plain,(relation(X1)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[1846,1305,theory(equality)])).
% cnf(12093,negated_conjecture,(esk128_0=relation_rng(esk129_0)|~subset(esk128_0,relation_rng(esk129_0))),inference(spm,[status(thm)],[802,2516,theory(equality)])).
% cnf(12225,negated_conjecture,(in(esk130_0,esk128_0)|relation_rng(esk129_0)!=esk128_0|~relation_of2_as_subset(esk129_0,esk127_0,esk128_0)),inference(spm,[status(thm)],[3042,771,theory(equality)])).
% cnf(12226,negated_conjecture,(in(esk130_0,esk128_0)|relation_rng(esk129_0)!=esk128_0|$false),inference(rw,[status(thm)],[12225,1927,theory(equality)])).
% cnf(12227,negated_conjecture,(in(esk130_0,esk128_0)|relation_rng(esk129_0)!=esk128_0),inference(cn,[status(thm)],[12226,theory(equality)])).
% cnf(19507,negated_conjecture,(relation(esk129_0)),inference(spm,[status(thm)],[3776,1927,theory(equality)])).
% cnf(30632,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(unordered_pair(unordered_pair(X1,esk130_0),unordered_pair(X1,X1)),esk129_0)|~relation_of2_as_subset(esk129_0,esk127_0,esk128_0)),inference(spm,[status(thm)],[3043,771,theory(equality)])).
% cnf(30633,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(unordered_pair(unordered_pair(X1,esk130_0),unordered_pair(X1,X1)),esk129_0)|$false),inference(rw,[status(thm)],[30632,1927,theory(equality)])).
% cnf(30634,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(unordered_pair(unordered_pair(X1,esk130_0),unordered_pair(X1,X1)),esk129_0)),inference(cn,[status(thm)],[30633,theory(equality)])).
% cnf(30642,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(unordered_pair(unordered_pair(esk130_0,X1),unordered_pair(X1,X1)),esk129_0)),inference(spm,[status(thm)],[30634,870,theory(equality)])).
% cnf(30661,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~relation(esk129_0)|~in(esk130_0,relation_image(esk129_0,X1))),inference(spm,[status(thm)],[30642,2208,theory(equality)])).
% cnf(30667,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|$false|~in(esk130_0,relation_image(esk129_0,X1))),inference(rw,[status(thm)],[30661,19507,theory(equality)])).
% cnf(30668,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(esk130_0,relation_image(esk129_0,X1))),inference(cn,[status(thm)],[30667,theory(equality)])).
% cnf(30688,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(esk130_0,relation_rng(esk129_0))|~relation(esk129_0)),inference(spm,[status(thm)],[30668,1223,theory(equality)])).
% cnf(30695,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(esk130_0,relation_rng(esk129_0))|$false),inference(rw,[status(thm)],[30688,19507,theory(equality)])).
% cnf(30696,negated_conjecture,(relation_rng(esk129_0)!=esk128_0|~in(esk130_0,relation_rng(esk129_0))),inference(cn,[status(thm)],[30695,theory(equality)])).
% cnf(40746,negated_conjecture,(subset(esk129_0,cartesian_product2(esk127_0,esk128_0))),inference(spm,[status(thm)],[2960,1927,theory(equality)])).
% cnf(56340,negated_conjecture,(in(X1,relation_rng(esk129_0))|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0|~relation(esk129_0)|~in(X1,esk128_0)),inference(spm,[status(thm)],[3215,2148,theory(equality)])).
% cnf(56354,negated_conjecture,(in(X1,relation_rng(esk129_0))|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0|$false|~in(X1,esk128_0)),inference(rw,[status(thm)],[56340,19507,theory(equality)])).
% cnf(56355,negated_conjecture,(in(X1,relation_rng(esk129_0))|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0|~in(X1,esk128_0)),inference(cn,[status(thm)],[56354,theory(equality)])).
% cnf(56586,negated_conjecture,(relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0|in(esk76_2(esk128_0,X1),relation_rng(esk129_0))|subset(esk128_0,X1)),inference(spm,[status(thm)],[56355,794,theory(equality)])).
% cnf(263683,negated_conjecture,(subset(esk128_0,relation_rng(esk129_0))|relation_rng_as_subset(esk127_0,esk128_0,esk129_0)=esk128_0),inference(spm,[status(thm)],[793,56586,theory(equality)])).
% cnf(263713,negated_conjecture,(esk128_0=relation_rng(esk129_0)|subset(esk128_0,relation_rng(esk129_0))|~relation_of2(esk129_0,esk127_0,esk128_0)),inference(spm,[status(thm)],[798,263683,theory(equality)])).
% cnf(263720,negated_conjecture,(in(esk130_0,esk128_0)|subset(esk128_0,relation_rng(esk129_0))),inference(spm,[status(thm)],[1928,263683,theory(equality)])).
% cnf(263725,negated_conjecture,(relation_rng(esk129_0)=esk128_0|in(esk130_0,esk128_0)|~subset(relation_rng(esk129_0),esk128_0)),inference(spm,[status(thm)],[802,263720,theory(equality)])).
% cnf(263763,negated_conjecture,(relation_rng(esk129_0)=esk128_0|in(esk130_0,esk128_0)|$false),inference(rw,[status(thm)],[263725,2516,theory(equality)])).
% cnf(263764,negated_conjecture,(relation_rng(esk129_0)=esk128_0|in(esk130_0,esk128_0)),inference(cn,[status(thm)],[263763,theory(equality)])).
% cnf(263782,negated_conjecture,(in(esk130_0,esk128_0)),inference(csr,[status(thm)],[263764,12227])).
% cnf(374004,negated_conjecture,(relation_rng(esk129_0)=esk128_0|~relation_of2(esk129_0,esk127_0,esk128_0)),inference(csr,[status(thm)],[263713,12093])).
% cnf(374005,negated_conjecture,(relation_rng(esk129_0)=esk128_0|~subset(esk129_0,cartesian_product2(esk127_0,esk128_0))),inference(spm,[status(thm)],[374004,1664,theory(equality)])).
% cnf(374007,negated_conjecture,(relation_rng(esk129_0)=esk128_0|$false),inference(rw,[status(thm)],[374005,40746,theory(equality)])).
% cnf(374008,negated_conjecture,(relation_rng(esk129_0)=esk128_0),inference(cn,[status(thm)],[374007,theory(equality)])).
% cnf(374929,negated_conjecture,($false|~in(esk130_0,relation_rng(esk129_0))),inference(rw,[status(thm)],[30696,374008,theory(equality)])).
% cnf(374930,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[374929,374008,theory(equality)]),263782,theory(equality)])).
% cnf(374931,negated_conjecture,($false),inference(cn,[status(thm)],[374930,theory(equality)])).
% cnf(374932,negated_conjecture,($false),374931,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 26630
% # ...of these trivial : 72
% # ...subsumed : 18450
% # ...remaining for further processing: 8108
% # Other redundant clauses eliminated : 325
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 293
% # Backward-rewritten : 966
% # Generated clauses : 327216
% # ...of the previous two non-trivial : 321789
% # Contextual simplify-reflections : 6487
% # Paramodulations : 326662
% # Factorizations : 25
% # Equation resolutions : 516
% # Current number of processed clauses: 6200
% # Positive orientable unit clauses: 208
% # Positive unorientable unit clauses: 4
% # Negative unit clauses : 914
% # Non-unit-clauses : 5074
% # Current number of unprocessed clauses: 264396
% # ...number of literals in the above : 1358575
% # Clause-clause subsumption calls (NU) : 2953547
% # Rec. Clause-clause subsumption calls : 1817313
% # Unit Clause-clause subsumption calls : 174316
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 158
% # Indexed BW rewrite successes : 85
% # Backwards rewriting index: 5105 leaves, 1.39+/-2.261 terms/leaf
% # Paramod-from index: 1220 leaves, 1.10+/-0.837 terms/leaf
% # Paramod-into index: 4348 leaves, 1.36+/-2.096 terms/leaf
% # -------------------------------------------------
% # User time : 20.759 s
% # System time : 0.506 s
% # Total time : 21.265 s
% # Maximum resident set size: 0 pages
% PrfWatch: 28.27 CPU 29.28 WC
% FINAL PrfWatch: 28.27 CPU 29.28 WC
% SZS output end Solution for /tmp/SystemOnTPTP2606/SEU266+2.tptp
%
%------------------------------------------------------------------------------