TSTP Solution File: SEU265+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU265+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 : art05.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 02:42:43 EST 2010
% Result : Theorem 24.71s
% Output : Solution 24.71s
% 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/SystemOnTPTP18387/SEU265+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18387/SEU265+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18387/SEU265+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 18483
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.02 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.91 CPU 6.03 WC
% PrfWatch: 7.90 CPU 8.04 WC
% PrfWatch: 9.89 CPU 10.04 WC
% PrfWatch: 11.88 CPU 12.05 WC
% PrfWatch: 13.72 CPU 14.09 WC
% # Preprocessing time : 0.079 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 15.32 CPU 16.10 WC
% PrfWatch: 17.19 CPU 18.10 WC
% PrfWatch: 19.18 CPU 20.11 WC
% # SZS output start CNFRefutation.
% fof(53, 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(54, axiom,![X1]:![X2]:subset(X1,X1),file('/tmp/SRASS.s.p', reflexivity_r1_tarski)).
% fof(55, axiom,![X1]:![X2]:![X3]:((subset(X1,X2)&subset(X2,X3))=>subset(X1,X3)),file('/tmp/SRASS.s.p', t1_xboole_1)).
% fof(57, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))),file('/tmp/SRASS.s.p', d3_tarski)).
% fof(58, axiom,![X1]:![X2]:![X3]:(relation_of2(X3,X1,X2)=>relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)),file('/tmp/SRASS.s.p', redefinition_k4_relset_1)).
% fof(59, axiom,![X1]:![X2]:(X1=X2<=>(subset(X1,X2)&subset(X2,X1))),file('/tmp/SRASS.s.p', d10_xboole_0)).
% fof(60, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(72, 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(74, 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_inverse_image(X3,X2))<=>?[X4]:((in(X4,relation_rng(X3))&in(ordered_pair(X1,X4),X3))&in(X4,X2)))),file('/tmp/SRASS.s.p', t166_relat_1)).
% fof(147, axiom,![X1]:unordered_pair(X1,X1)=singleton(X1),file('/tmp/SRASS.s.p', t69_enumset1)).
% fof(183, 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(200, 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(214, axiom,![X1]:![X2]:(relation(X2)=>subset(relation_inverse_image(X2,X1),relation_dom(X2))),file('/tmp/SRASS.s.p', t167_relat_1)).
% fof(270, axiom,![X1]:![X2]:![X3]:(relation_of2(X3,X1,X2)<=>subset(X3,cartesian_product2(X1,X2))),file('/tmp/SRASS.s.p', d1_relset_1)).
% fof(287, axiom,![X1]:![X2]:(relation(X2)=>(subset(X1,relation_dom(X2))=>subset(X1,relation_inverse_image(X2,relation_image(X2,X1))))),file('/tmp/SRASS.s.p', t146_funct_1)).
% fof(290, axiom,![X1]:![X2]:![X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)),file('/tmp/SRASS.s.p', cc1_relset_1)).
% fof(334, conjecture,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X2,X1)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X4,X5),X3))))<=>relation_dom_as_subset(X2,X1,X3)=X2)),file('/tmp/SRASS.s.p', t22_relset_1)).
% fof(335, negated_conjecture,~(![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X2,X1)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X4,X5),X3))))<=>relation_dom_as_subset(X2,X1,X3)=X2))),inference(assume_negation,[status(cth)],[334])).
% fof(371, negated_conjecture,~(![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X2,X1)=>(![X4]:~((in(X4,X2)&![X5]:~(in(ordered_pair(X4,X5),X3))))<=>relation_dom_as_subset(X2,X1,X3)=X2))),inference(fof_simplification,[status(thm)],[335,theory(equality)])).
% fof(756, 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)],[53])).
% fof(757, 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)],[756])).
% cnf(759,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[757])).
% fof(760, plain,![X3]:![X4]:subset(X3,X3),inference(variable_rename,[status(thm)],[54])).
% cnf(761,plain,(subset(X1,X1)),inference(split_conjunct,[status(thm)],[760])).
% fof(762, plain,![X1]:![X2]:![X3]:((~(subset(X1,X2))|~(subset(X2,X3)))|subset(X1,X3)),inference(fof_nnf,[status(thm)],[55])).
% fof(763, plain,![X4]:![X5]:![X6]:((~(subset(X4,X5))|~(subset(X5,X6)))|subset(X4,X6)),inference(variable_rename,[status(thm)],[762])).
% cnf(764,plain,(subset(X1,X2)|~subset(X3,X2)|~subset(X1,X3)),inference(split_conjunct,[status(thm)],[763])).
% fof(776, 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)],[57])).
% fof(777, 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)],[776])).
% fof(778, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(in(X6,X4))|in(X6,X5)))&((in(esk74_2(X4,X5),X4)&~(in(esk74_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[777])).
% fof(779, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk74_2(X4,X5),X4)&~(in(esk74_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[778])).
% fof(780, plain,![X4]:![X5]:![X6]:(((~(in(X6,X4))|in(X6,X5))|~(subset(X4,X5)))&((in(esk74_2(X4,X5),X4)|subset(X4,X5))&(~(in(esk74_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[779])).
% cnf(781,plain,(subset(X1,X2)|~in(esk74_2(X1,X2),X2)),inference(split_conjunct,[status(thm)],[780])).
% cnf(782,plain,(subset(X1,X2)|in(esk74_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[780])).
% fof(784, plain,![X1]:![X2]:![X3]:(~(relation_of2(X3,X1,X2))|relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)),inference(fof_nnf,[status(thm)],[58])).
% fof(785, plain,![X4]:![X5]:![X6]:(~(relation_of2(X6,X4,X5))|relation_dom_as_subset(X4,X5,X6)=relation_dom(X6)),inference(variable_rename,[status(thm)],[784])).
% cnf(786,plain,(relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2)),inference(split_conjunct,[status(thm)],[785])).
% fof(787, plain,![X1]:![X2]:((~(X1=X2)|(subset(X1,X2)&subset(X2,X1)))&((~(subset(X1,X2))|~(subset(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[59])).
% fof(788, plain,![X3]:![X4]:((~(X3=X4)|(subset(X3,X4)&subset(X4,X3)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[787])).
% fof(789, 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)],[788])).
% cnf(790,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[789])).
% fof(793, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[60])).
% cnf(794,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[793])).
% fof(849, 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)],[72])).
% fof(850, 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)],[849])).
% fof(851, 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)],[850])).
% cnf(853,plain,(in(X2,relation_dom(X1))|~relation(X1)|~in(ordered_pair(X2,X3),X1)),inference(split_conjunct,[status(thm)],[851])).
% fof(857, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[74])).
% cnf(858,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[857])).
% fof(889, plain,![X1]:![X2]:![X3]:(~(relation(X3))|((~(in(X1,relation_inverse_image(X3,X2)))|?[X4]:((in(X4,relation_rng(X3))&in(ordered_pair(X1,X4),X3))&in(X4,X2)))&(![X4]:((~(in(X4,relation_rng(X3)))|~(in(ordered_pair(X1,X4),X3)))|~(in(X4,X2)))|in(X1,relation_inverse_image(X3,X2))))),inference(fof_nnf,[status(thm)],[83])).
% fof(890, plain,![X5]:![X6]:![X7]:(~(relation(X7))|((~(in(X5,relation_inverse_image(X7,X6)))|?[X8]:((in(X8,relation_rng(X7))&in(ordered_pair(X5,X8),X7))&in(X8,X6)))&(![X9]:((~(in(X9,relation_rng(X7)))|~(in(ordered_pair(X5,X9),X7)))|~(in(X9,X6)))|in(X5,relation_inverse_image(X7,X6))))),inference(variable_rename,[status(thm)],[889])).
% fof(891, plain,![X5]:![X6]:![X7]:(~(relation(X7))|((~(in(X5,relation_inverse_image(X7,X6)))|((in(esk82_3(X5,X6,X7),relation_rng(X7))&in(ordered_pair(X5,esk82_3(X5,X6,X7)),X7))&in(esk82_3(X5,X6,X7),X6)))&(![X9]:((~(in(X9,relation_rng(X7)))|~(in(ordered_pair(X5,X9),X7)))|~(in(X9,X6)))|in(X5,relation_inverse_image(X7,X6))))),inference(skolemize,[status(esa)],[890])).
% fof(892, plain,![X5]:![X6]:![X7]:![X9]:(((((~(in(X9,relation_rng(X7)))|~(in(ordered_pair(X5,X9),X7)))|~(in(X9,X6)))|in(X5,relation_inverse_image(X7,X6)))&(~(in(X5,relation_inverse_image(X7,X6)))|((in(esk82_3(X5,X6,X7),relation_rng(X7))&in(ordered_pair(X5,esk82_3(X5,X6,X7)),X7))&in(esk82_3(X5,X6,X7),X6))))|~(relation(X7))),inference(shift_quantors,[status(thm)],[891])).
% fof(893, plain,![X5]:![X6]:![X7]:![X9]:(((((~(in(X9,relation_rng(X7)))|~(in(ordered_pair(X5,X9),X7)))|~(in(X9,X6)))|in(X5,relation_inverse_image(X7,X6)))|~(relation(X7)))&((((in(esk82_3(X5,X6,X7),relation_rng(X7))|~(in(X5,relation_inverse_image(X7,X6))))|~(relation(X7)))&((in(ordered_pair(X5,esk82_3(X5,X6,X7)),X7)|~(in(X5,relation_inverse_image(X7,X6))))|~(relation(X7))))&((in(esk82_3(X5,X6,X7),X6)|~(in(X5,relation_inverse_image(X7,X6))))|~(relation(X7))))),inference(distribute,[status(thm)],[892])).
% cnf(895,plain,(in(ordered_pair(X2,esk82_3(X2,X3,X1)),X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3))),inference(split_conjunct,[status(thm)],[893])).
% fof(1132, plain,![X2]:unordered_pair(X2,X2)=singleton(X2),inference(variable_rename,[status(thm)],[147])).
% cnf(1133,plain,(unordered_pair(X1,X1)=singleton(X1)),inference(split_conjunct,[status(thm)],[1132])).
% fof(1291, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|element(X3,powerset(cartesian_product2(X1,X2)))),inference(fof_nnf,[status(thm)],[183])).
% fof(1292, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|element(X6,powerset(cartesian_product2(X4,X5)))),inference(variable_rename,[status(thm)],[1291])).
% cnf(1293,plain,(element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[1292])).
% fof(1360, 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)],[200])).
% fof(1361, 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)],[1360])).
% fof(1362, 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)],[1361])).
% cnf(1364,plain,(subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[1362])).
% fof(1409, plain,![X1]:![X2]:(~(relation(X2))|subset(relation_inverse_image(X2,X1),relation_dom(X2))),inference(fof_nnf,[status(thm)],[214])).
% fof(1410, plain,![X3]:![X4]:(~(relation(X4))|subset(relation_inverse_image(X4,X3),relation_dom(X4))),inference(variable_rename,[status(thm)],[1409])).
% cnf(1411,plain,(subset(relation_inverse_image(X1,X2),relation_dom(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[1410])).
% fof(1656, 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)],[270])).
% fof(1657, 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)],[1656])).
% cnf(1658,plain,(relation_of2(X1,X2,X3)|~subset(X1,cartesian_product2(X2,X3))),inference(split_conjunct,[status(thm)],[1657])).
% cnf(1659,plain,(subset(X1,cartesian_product2(X2,X3))|~relation_of2(X1,X2,X3)),inference(split_conjunct,[status(thm)],[1657])).
% fof(1761, plain,![X1]:![X2]:(~(relation(X2))|(~(subset(X1,relation_dom(X2)))|subset(X1,relation_inverse_image(X2,relation_image(X2,X1))))),inference(fof_nnf,[status(thm)],[287])).
% fof(1762, plain,![X3]:![X4]:(~(relation(X4))|(~(subset(X3,relation_dom(X4)))|subset(X3,relation_inverse_image(X4,relation_image(X4,X3))))),inference(variable_rename,[status(thm)],[1761])).
% cnf(1763,plain,(subset(X1,relation_inverse_image(X2,relation_image(X2,X1)))|~subset(X1,relation_dom(X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[1762])).
% fof(1773, plain,![X1]:![X2]:![X3]:(~(element(X3,powerset(cartesian_product2(X1,X2))))|relation(X3)),inference(fof_nnf,[status(thm)],[290])).
% fof(1774, plain,![X4]:![X5]:![X6]:(~(element(X6,powerset(cartesian_product2(X4,X5))))|relation(X6)),inference(variable_rename,[status(thm)],[1773])).
% cnf(1775,plain,(relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))),inference(split_conjunct,[status(thm)],[1774])).
% fof(1904, negated_conjecture,?[X1]:?[X2]:?[X3]:(relation_of2_as_subset(X3,X2,X1)&((?[X4]:(in(X4,X2)&![X5]:~(in(ordered_pair(X4,X5),X3)))|~(relation_dom_as_subset(X2,X1,X3)=X2))&(![X4]:(~(in(X4,X2))|?[X5]:in(ordered_pair(X4,X5),X3))|relation_dom_as_subset(X2,X1,X3)=X2))),inference(fof_nnf,[status(thm)],[371])).
% fof(1905, negated_conjecture,?[X6]:?[X7]:?[X8]:(relation_of2_as_subset(X8,X7,X6)&((?[X9]:(in(X9,X7)&![X10]:~(in(ordered_pair(X9,X10),X8)))|~(relation_dom_as_subset(X7,X6,X8)=X7))&(![X11]:(~(in(X11,X7))|?[X12]:in(ordered_pair(X11,X12),X8))|relation_dom_as_subset(X7,X6,X8)=X7))),inference(variable_rename,[status(thm)],[1904])).
% fof(1906, negated_conjecture,(relation_of2_as_subset(esk127_0,esk126_0,esk125_0)&(((in(esk128_0,esk126_0)&![X10]:~(in(ordered_pair(esk128_0,X10),esk127_0)))|~(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0))&(![X11]:(~(in(X11,esk126_0))|in(ordered_pair(X11,esk129_1(X11)),esk127_0))|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0))),inference(skolemize,[status(esa)],[1905])).
% fof(1907, negated_conjecture,![X10]:![X11]:((((~(in(X11,esk126_0))|in(ordered_pair(X11,esk129_1(X11)),esk127_0))|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0)&((~(in(ordered_pair(esk128_0,X10),esk127_0))&in(esk128_0,esk126_0))|~(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0)))&relation_of2_as_subset(esk127_0,esk126_0,esk125_0)),inference(shift_quantors,[status(thm)],[1906])).
% fof(1908, negated_conjecture,![X10]:![X11]:((((~(in(X11,esk126_0))|in(ordered_pair(X11,esk129_1(X11)),esk127_0))|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0)&((~(in(ordered_pair(esk128_0,X10),esk127_0))|~(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0))&(in(esk128_0,esk126_0)|~(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0))))&relation_of2_as_subset(esk127_0,esk126_0,esk125_0)),inference(distribute,[status(thm)],[1907])).
% cnf(1909,negated_conjecture,(relation_of2_as_subset(esk127_0,esk126_0,esk125_0)),inference(split_conjunct,[status(thm)],[1908])).
% cnf(1910,negated_conjecture,(in(esk128_0,esk126_0)|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)!=esk126_0),inference(split_conjunct,[status(thm)],[1908])).
% cnf(1911,negated_conjecture,(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)!=esk126_0|~in(ordered_pair(esk128_0,X1),esk127_0)),inference(split_conjunct,[status(thm)],[1908])).
% cnf(1912,negated_conjecture,(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0|in(ordered_pair(X1,esk129_1(X1)),esk127_0)|~in(X1,esk126_0)),inference(split_conjunct,[status(thm)],[1908])).
% cnf(1926,plain,(unordered_pair(unordered_pair(X1,X2),unordered_pair(X1,X1))=ordered_pair(X1,X2)),inference(rw,[status(thm)],[794,1133,theory(equality)]),['unfolding']).
% cnf(2007,negated_conjecture,(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0|in(unordered_pair(unordered_pair(X1,esk129_1(X1)),unordered_pair(X1,X1)),esk127_0)|~in(X1,esk126_0)),inference(rw,[status(thm)],[1912,1926,theory(equality)]),['unfolding']).
% cnf(2018,plain,(in(X2,relation_dom(X1))|~relation(X1)|~in(unordered_pair(unordered_pair(X2,X3),unordered_pair(X2,X2)),X1)),inference(rw,[status(thm)],[853,1926,theory(equality)]),['unfolding']).
% cnf(2032,plain,(in(unordered_pair(unordered_pair(X2,esk82_3(X2,X3,X1)),unordered_pair(X2,X2)),X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3))),inference(rw,[status(thm)],[895,1926,theory(equality)]),['unfolding']).
% cnf(2108,negated_conjecture,(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)!=esk126_0|~in(unordered_pair(unordered_pair(esk128_0,X1),unordered_pair(esk128_0,esk128_0)),esk127_0)),inference(rw,[status(thm)],[1911,1926,theory(equality)]),['unfolding']).
% cnf(2126,negated_conjecture,(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0|in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,esk129_1(X1))),esk127_0)|~in(X1,esk126_0)),inference(rw,[status(thm)],[2007,858,theory(equality)])).
% cnf(2156,plain,(in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,esk82_3(X2,X3,X1))),X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3))),inference(rw,[status(thm)],[2032,858,theory(equality)])).
% cnf(2485,negated_conjecture,(subset(relation_dom(esk127_0),esk126_0)),inference(spm,[status(thm)],[1364,1909,theory(equality)])).
% cnf(2939,plain,(subset(X1,cartesian_product2(X2,X3))|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[1659,759,theory(equality)])).
% cnf(3033,negated_conjecture,(in(esk128_0,esk126_0)|relation_dom(esk127_0)!=esk126_0|~relation_of2(esk127_0,esk126_0,esk125_0)),inference(spm,[status(thm)],[1910,786,theory(equality)])).
% cnf(3034,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~in(unordered_pair(unordered_pair(esk128_0,X1),unordered_pair(esk128_0,esk128_0)),esk127_0)|~relation_of2(esk127_0,esk126_0,esk125_0)),inference(spm,[status(thm)],[2108,786,theory(equality)])).
% cnf(3185,plain,(in(X1,relation_dom(X2))|~relation(X2)|~in(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,X3)),X2)),inference(spm,[status(thm)],[2018,858,theory(equality)])).
% cnf(3758,plain,(relation(X1)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[1775,1293,theory(equality)])).
% cnf(12016,negated_conjecture,(esk126_0=relation_dom(esk127_0)|~subset(esk126_0,relation_dom(esk127_0))),inference(spm,[status(thm)],[790,2485,theory(equality)])).
% cnf(12018,negated_conjecture,(subset(X1,esk126_0)|~subset(X1,relation_dom(esk127_0))),inference(spm,[status(thm)],[764,2485,theory(equality)])).
% cnf(12155,negated_conjecture,(in(esk128_0,esk126_0)|relation_dom(esk127_0)!=esk126_0|~relation_of2_as_subset(esk127_0,esk126_0,esk125_0)),inference(spm,[status(thm)],[3033,759,theory(equality)])).
% cnf(12156,negated_conjecture,(in(esk128_0,esk126_0)|relation_dom(esk127_0)!=esk126_0|$false),inference(rw,[status(thm)],[12155,1909,theory(equality)])).
% cnf(12157,negated_conjecture,(in(esk128_0,esk126_0)|relation_dom(esk127_0)!=esk126_0),inference(cn,[status(thm)],[12156,theory(equality)])).
% cnf(13144,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~in(unordered_pair(unordered_pair(esk128_0,X1),unordered_pair(esk128_0,esk128_0)),esk127_0)|~relation_of2_as_subset(esk127_0,esk126_0,esk125_0)),inference(spm,[status(thm)],[3034,759,theory(equality)])).
% cnf(13145,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~in(unordered_pair(unordered_pair(esk128_0,X1),unordered_pair(esk128_0,esk128_0)),esk127_0)|$false),inference(rw,[status(thm)],[13144,1909,theory(equality)])).
% cnf(13146,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~in(unordered_pair(unordered_pair(esk128_0,X1),unordered_pair(esk128_0,esk128_0)),esk127_0)),inference(cn,[status(thm)],[13145,theory(equality)])).
% cnf(13156,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~in(unordered_pair(unordered_pair(esk128_0,esk128_0),unordered_pair(esk128_0,X1)),esk127_0)),inference(spm,[status(thm)],[13146,858,theory(equality)])).
% cnf(13183,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~relation(esk127_0)|~in(esk128_0,relation_inverse_image(esk127_0,X1))),inference(spm,[status(thm)],[13156,2156,theory(equality)])).
% cnf(20785,negated_conjecture,(relation(esk127_0)),inference(spm,[status(thm)],[3758,1909,theory(equality)])).
% cnf(20816,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|$false|~in(esk128_0,relation_inverse_image(esk127_0,X1))),inference(rw,[status(thm)],[13183,20785,theory(equality)])).
% cnf(20817,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~in(esk128_0,relation_inverse_image(esk127_0,X1))),inference(cn,[status(thm)],[20816,theory(equality)])).
% cnf(22547,negated_conjecture,(subset(relation_inverse_image(esk127_0,X1),esk126_0)|~relation(esk127_0)),inference(spm,[status(thm)],[12018,1411,theory(equality)])).
% cnf(22559,negated_conjecture,(subset(relation_inverse_image(esk127_0,X1),esk126_0)|$false),inference(rw,[status(thm)],[22547,20785,theory(equality)])).
% cnf(22560,negated_conjecture,(subset(relation_inverse_image(esk127_0,X1),esk126_0)),inference(cn,[status(thm)],[22559,theory(equality)])).
% cnf(22569,negated_conjecture,(esk126_0=relation_inverse_image(esk127_0,X1)|~subset(esk126_0,relation_inverse_image(esk127_0,X1))),inference(spm,[status(thm)],[790,22560,theory(equality)])).
% cnf(27554,negated_conjecture,(relation_inverse_image(esk127_0,relation_image(esk127_0,esk126_0))=esk126_0|~subset(esk126_0,relation_dom(esk127_0))|~relation(esk127_0)),inference(spm,[status(thm)],[22569,1763,theory(equality)])).
% cnf(27555,negated_conjecture,(relation_inverse_image(esk127_0,relation_image(esk127_0,esk126_0))=esk126_0|~subset(esk126_0,relation_dom(esk127_0))|$false),inference(rw,[status(thm)],[27554,20785,theory(equality)])).
% cnf(27556,negated_conjecture,(relation_inverse_image(esk127_0,relation_image(esk127_0,esk126_0))=esk126_0|~subset(esk126_0,relation_dom(esk127_0))),inference(cn,[status(thm)],[27555,theory(equality)])).
% cnf(27566,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~in(esk128_0,esk126_0)|~subset(esk126_0,relation_dom(esk127_0))),inference(spm,[status(thm)],[20817,27556,theory(equality)])).
% cnf(27593,negated_conjecture,(relation_dom(esk127_0)!=esk126_0|~subset(esk126_0,relation_dom(esk127_0))),inference(csr,[status(thm)],[27566,12157])).
% cnf(27594,negated_conjecture,(~subset(esk126_0,relation_dom(esk127_0))),inference(csr,[status(thm)],[27593,12016])).
% cnf(41996,negated_conjecture,(subset(esk127_0,cartesian_product2(esk126_0,esk125_0))),inference(spm,[status(thm)],[2939,1909,theory(equality)])).
% cnf(58256,negated_conjecture,(in(X1,relation_dom(esk127_0))|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0|~relation(esk127_0)|~in(X1,esk126_0)),inference(spm,[status(thm)],[3185,2126,theory(equality)])).
% cnf(58282,negated_conjecture,(in(X1,relation_dom(esk127_0))|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0|$false|~in(X1,esk126_0)),inference(rw,[status(thm)],[58256,20785,theory(equality)])).
% cnf(58283,negated_conjecture,(in(X1,relation_dom(esk127_0))|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0|~in(X1,esk126_0)),inference(cn,[status(thm)],[58282,theory(equality)])).
% cnf(58994,negated_conjecture,(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0|in(esk74_2(esk126_0,X1),relation_dom(esk127_0))|subset(esk126_0,X1)),inference(spm,[status(thm)],[58283,782,theory(equality)])).
% cnf(263864,negated_conjecture,(subset(esk126_0,relation_dom(esk127_0))|relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0),inference(spm,[status(thm)],[781,58994,theory(equality)])).
% cnf(263879,negated_conjecture,(relation_dom_as_subset(esk126_0,esk125_0,esk127_0)=esk126_0),inference(sr,[status(thm)],[263864,27594,theory(equality)])).
% cnf(263884,negated_conjecture,(esk126_0=relation_dom(esk127_0)|~relation_of2(esk127_0,esk126_0,esk125_0)),inference(spm,[status(thm)],[786,263879,theory(equality)])).
% cnf(265222,negated_conjecture,(relation_dom(esk127_0)=esk126_0|~subset(esk127_0,cartesian_product2(esk126_0,esk125_0))),inference(spm,[status(thm)],[263884,1658,theory(equality)])).
% cnf(265224,negated_conjecture,(relation_dom(esk127_0)=esk126_0|$false),inference(rw,[status(thm)],[265222,41996,theory(equality)])).
% cnf(265225,negated_conjecture,(relation_dom(esk127_0)=esk126_0),inference(cn,[status(thm)],[265224,theory(equality)])).
% cnf(265775,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[27594,265225,theory(equality)]),761,theory(equality)])).
% cnf(265776,negated_conjecture,($false),inference(cn,[status(thm)],[265775,theory(equality)])).
% cnf(265777,negated_conjecture,($false),265776,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 22897
% # ...of these trivial : 64
% # ...subsumed : 15577
% # ...remaining for further processing: 7256
% # Other redundant clauses eliminated : 238
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 304
% # Backward-rewritten : 1464
% # Generated clauses : 223983
% # ...of the previous two non-trivial : 219181
% # Contextual simplify-reflections : 5851
% # Paramodulations : 223549
% # Factorizations : 20
% # Equation resolutions : 401
% # Current number of processed clauses: 4846
% # Positive orientable unit clauses: 197
% # Positive unorientable unit clauses: 4
% # Negative unit clauses : 823
% # Non-unit-clauses : 3822
% # Current number of unprocessed clauses: 162212
% # ...number of literals in the above : 781506
% # Clause-clause subsumption calls (NU) : 2307753
% # Rec. Clause-clause subsumption calls : 1272574
% # Unit Clause-clause subsumption calls : 153048
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 157
% # Indexed BW rewrite successes : 90
% # Backwards rewriting index: 4278 leaves, 1.41+/-2.147 terms/leaf
% # Paramod-from index: 1105 leaves, 1.10+/-0.873 terms/leaf
% # Paramod-into index: 3747 leaves, 1.36+/-1.934 terms/leaf
% # -------------------------------------------------
% # User time : 14.671 s
% # System time : 0.375 s
% # Total time : 15.046 s
% # Maximum resident set size: 0 pages
% PrfWatch: 19.79 CPU 20.73 WC
% FINAL PrfWatch: 19.79 CPU 20.73 WC
% SZS output end Solution for /tmp/SystemOnTPTP18387/SEU265+2.tptp
%
%------------------------------------------------------------------------------