TSTP Solution File: SEU244+2 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU244+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 : art06.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 02:26:22 EST 2010
% Result : Theorem 12.90s
% Output : Solution 12.90s
% 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/SystemOnTPTP8836/SEU244+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP8836/SEU244+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP8836/SEU244+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 8932
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # Preprocessing time : 0.069 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.90 CPU 8.02 WC
% # SZS output start CNFRefutation.
% fof(7, axiom,![X1]:(relation(X1)=>(antisymmetric(X1)<=>is_antisymmetric_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', d12_relat_2)).
% fof(8, axiom,![X1]:(relation(X1)=>(connected(X1)<=>is_connected_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', d14_relat_2)).
% fof(9, axiom,![X1]:(relation(X1)=>(transitive(X1)<=>is_transitive_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', d16_relat_2)).
% fof(10, axiom,![X1]:(relation(X1)=>(reflexive(X1)<=>is_reflexive_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', d9_relat_2)).
% fof(11, axiom,![X1]:(relation(X1)=>(well_founded_relation(X1)<=>is_well_founded_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', t5_wellord1)).
% fof(104, axiom,![X1]:(relation(X1)=>(well_ordering(X1)<=>((((reflexive(X1)&transitive(X1))&antisymmetric(X1))&connected(X1))&well_founded_relation(X1)))),file('/tmp/SRASS.s.p', d4_wellord1)).
% fof(105, axiom,![X1]:(relation(X1)=>![X2]:(well_orders(X1,X2)<=>((((is_reflexive_in(X1,X2)&is_transitive_in(X1,X2))&is_antisymmetric_in(X1,X2))&is_connected_in(X1,X2))&is_well_founded_in(X1,X2)))),file('/tmp/SRASS.s.p', d5_wellord1)).
% fof(299, conjecture,![X1]:(relation(X1)=>(well_orders(X1,relation_field(X1))<=>well_ordering(X1))),file('/tmp/SRASS.s.p', t8_wellord1)).
% fof(300, negated_conjecture,~(![X1]:(relation(X1)=>(well_orders(X1,relation_field(X1))<=>well_ordering(X1)))),inference(assume_negation,[status(cth)],[299])).
% fof(360, plain,![X1]:(~(relation(X1))|((~(antisymmetric(X1))|is_antisymmetric_in(X1,relation_field(X1)))&(~(is_antisymmetric_in(X1,relation_field(X1)))|antisymmetric(X1)))),inference(fof_nnf,[status(thm)],[7])).
% fof(361, plain,![X2]:(~(relation(X2))|((~(antisymmetric(X2))|is_antisymmetric_in(X2,relation_field(X2)))&(~(is_antisymmetric_in(X2,relation_field(X2)))|antisymmetric(X2)))),inference(variable_rename,[status(thm)],[360])).
% fof(362, plain,![X2]:(((~(antisymmetric(X2))|is_antisymmetric_in(X2,relation_field(X2)))|~(relation(X2)))&((~(is_antisymmetric_in(X2,relation_field(X2)))|antisymmetric(X2))|~(relation(X2)))),inference(distribute,[status(thm)],[361])).
% cnf(363,plain,(antisymmetric(X1)|~relation(X1)|~is_antisymmetric_in(X1,relation_field(X1))),inference(split_conjunct,[status(thm)],[362])).
% cnf(364,plain,(is_antisymmetric_in(X1,relation_field(X1))|~relation(X1)|~antisymmetric(X1)),inference(split_conjunct,[status(thm)],[362])).
% fof(365, plain,![X1]:(~(relation(X1))|((~(connected(X1))|is_connected_in(X1,relation_field(X1)))&(~(is_connected_in(X1,relation_field(X1)))|connected(X1)))),inference(fof_nnf,[status(thm)],[8])).
% fof(366, plain,![X2]:(~(relation(X2))|((~(connected(X2))|is_connected_in(X2,relation_field(X2)))&(~(is_connected_in(X2,relation_field(X2)))|connected(X2)))),inference(variable_rename,[status(thm)],[365])).
% fof(367, plain,![X2]:(((~(connected(X2))|is_connected_in(X2,relation_field(X2)))|~(relation(X2)))&((~(is_connected_in(X2,relation_field(X2)))|connected(X2))|~(relation(X2)))),inference(distribute,[status(thm)],[366])).
% cnf(368,plain,(connected(X1)|~relation(X1)|~is_connected_in(X1,relation_field(X1))),inference(split_conjunct,[status(thm)],[367])).
% cnf(369,plain,(is_connected_in(X1,relation_field(X1))|~relation(X1)|~connected(X1)),inference(split_conjunct,[status(thm)],[367])).
% fof(370, plain,![X1]:(~(relation(X1))|((~(transitive(X1))|is_transitive_in(X1,relation_field(X1)))&(~(is_transitive_in(X1,relation_field(X1)))|transitive(X1)))),inference(fof_nnf,[status(thm)],[9])).
% fof(371, plain,![X2]:(~(relation(X2))|((~(transitive(X2))|is_transitive_in(X2,relation_field(X2)))&(~(is_transitive_in(X2,relation_field(X2)))|transitive(X2)))),inference(variable_rename,[status(thm)],[370])).
% fof(372, plain,![X2]:(((~(transitive(X2))|is_transitive_in(X2,relation_field(X2)))|~(relation(X2)))&((~(is_transitive_in(X2,relation_field(X2)))|transitive(X2))|~(relation(X2)))),inference(distribute,[status(thm)],[371])).
% cnf(373,plain,(transitive(X1)|~relation(X1)|~is_transitive_in(X1,relation_field(X1))),inference(split_conjunct,[status(thm)],[372])).
% cnf(374,plain,(is_transitive_in(X1,relation_field(X1))|~relation(X1)|~transitive(X1)),inference(split_conjunct,[status(thm)],[372])).
% fof(375, plain,![X1]:(~(relation(X1))|((~(reflexive(X1))|is_reflexive_in(X1,relation_field(X1)))&(~(is_reflexive_in(X1,relation_field(X1)))|reflexive(X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(376, plain,![X2]:(~(relation(X2))|((~(reflexive(X2))|is_reflexive_in(X2,relation_field(X2)))&(~(is_reflexive_in(X2,relation_field(X2)))|reflexive(X2)))),inference(variable_rename,[status(thm)],[375])).
% fof(377, plain,![X2]:(((~(reflexive(X2))|is_reflexive_in(X2,relation_field(X2)))|~(relation(X2)))&((~(is_reflexive_in(X2,relation_field(X2)))|reflexive(X2))|~(relation(X2)))),inference(distribute,[status(thm)],[376])).
% cnf(378,plain,(reflexive(X1)|~relation(X1)|~is_reflexive_in(X1,relation_field(X1))),inference(split_conjunct,[status(thm)],[377])).
% cnf(379,plain,(is_reflexive_in(X1,relation_field(X1))|~relation(X1)|~reflexive(X1)),inference(split_conjunct,[status(thm)],[377])).
% fof(380, plain,![X1]:(~(relation(X1))|((~(well_founded_relation(X1))|is_well_founded_in(X1,relation_field(X1)))&(~(is_well_founded_in(X1,relation_field(X1)))|well_founded_relation(X1)))),inference(fof_nnf,[status(thm)],[11])).
% fof(381, plain,![X2]:(~(relation(X2))|((~(well_founded_relation(X2))|is_well_founded_in(X2,relation_field(X2)))&(~(is_well_founded_in(X2,relation_field(X2)))|well_founded_relation(X2)))),inference(variable_rename,[status(thm)],[380])).
% fof(382, plain,![X2]:(((~(well_founded_relation(X2))|is_well_founded_in(X2,relation_field(X2)))|~(relation(X2)))&((~(is_well_founded_in(X2,relation_field(X2)))|well_founded_relation(X2))|~(relation(X2)))),inference(distribute,[status(thm)],[381])).
% cnf(383,plain,(well_founded_relation(X1)|~relation(X1)|~is_well_founded_in(X1,relation_field(X1))),inference(split_conjunct,[status(thm)],[382])).
% cnf(384,plain,(is_well_founded_in(X1,relation_field(X1))|~relation(X1)|~well_founded_relation(X1)),inference(split_conjunct,[status(thm)],[382])).
% fof(855, plain,![X1]:(~(relation(X1))|((~(well_ordering(X1))|((((reflexive(X1)&transitive(X1))&antisymmetric(X1))&connected(X1))&well_founded_relation(X1)))&(((((~(reflexive(X1))|~(transitive(X1)))|~(antisymmetric(X1)))|~(connected(X1)))|~(well_founded_relation(X1)))|well_ordering(X1)))),inference(fof_nnf,[status(thm)],[104])).
% fof(856, plain,![X2]:(~(relation(X2))|((~(well_ordering(X2))|((((reflexive(X2)&transitive(X2))&antisymmetric(X2))&connected(X2))&well_founded_relation(X2)))&(((((~(reflexive(X2))|~(transitive(X2)))|~(antisymmetric(X2)))|~(connected(X2)))|~(well_founded_relation(X2)))|well_ordering(X2)))),inference(variable_rename,[status(thm)],[855])).
% fof(857, plain,![X2]:(((((((reflexive(X2)|~(well_ordering(X2)))|~(relation(X2)))&((transitive(X2)|~(well_ordering(X2)))|~(relation(X2))))&((antisymmetric(X2)|~(well_ordering(X2)))|~(relation(X2))))&((connected(X2)|~(well_ordering(X2)))|~(relation(X2))))&((well_founded_relation(X2)|~(well_ordering(X2)))|~(relation(X2))))&((((((~(reflexive(X2))|~(transitive(X2)))|~(antisymmetric(X2)))|~(connected(X2)))|~(well_founded_relation(X2)))|well_ordering(X2))|~(relation(X2)))),inference(distribute,[status(thm)],[856])).
% cnf(858,plain,(well_ordering(X1)|~relation(X1)|~well_founded_relation(X1)|~connected(X1)|~antisymmetric(X1)|~transitive(X1)|~reflexive(X1)),inference(split_conjunct,[status(thm)],[857])).
% cnf(859,plain,(well_founded_relation(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[857])).
% cnf(860,plain,(connected(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[857])).
% cnf(861,plain,(antisymmetric(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[857])).
% cnf(862,plain,(transitive(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[857])).
% cnf(863,plain,(reflexive(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[857])).
% fof(864, plain,![X1]:(~(relation(X1))|![X2]:((~(well_orders(X1,X2))|((((is_reflexive_in(X1,X2)&is_transitive_in(X1,X2))&is_antisymmetric_in(X1,X2))&is_connected_in(X1,X2))&is_well_founded_in(X1,X2)))&(((((~(is_reflexive_in(X1,X2))|~(is_transitive_in(X1,X2)))|~(is_antisymmetric_in(X1,X2)))|~(is_connected_in(X1,X2)))|~(is_well_founded_in(X1,X2)))|well_orders(X1,X2)))),inference(fof_nnf,[status(thm)],[105])).
% fof(865, plain,![X3]:(~(relation(X3))|![X4]:((~(well_orders(X3,X4))|((((is_reflexive_in(X3,X4)&is_transitive_in(X3,X4))&is_antisymmetric_in(X3,X4))&is_connected_in(X3,X4))&is_well_founded_in(X3,X4)))&(((((~(is_reflexive_in(X3,X4))|~(is_transitive_in(X3,X4)))|~(is_antisymmetric_in(X3,X4)))|~(is_connected_in(X3,X4)))|~(is_well_founded_in(X3,X4)))|well_orders(X3,X4)))),inference(variable_rename,[status(thm)],[864])).
% fof(866, plain,![X3]:![X4]:(((~(well_orders(X3,X4))|((((is_reflexive_in(X3,X4)&is_transitive_in(X3,X4))&is_antisymmetric_in(X3,X4))&is_connected_in(X3,X4))&is_well_founded_in(X3,X4)))&(((((~(is_reflexive_in(X3,X4))|~(is_transitive_in(X3,X4)))|~(is_antisymmetric_in(X3,X4)))|~(is_connected_in(X3,X4)))|~(is_well_founded_in(X3,X4)))|well_orders(X3,X4)))|~(relation(X3))),inference(shift_quantors,[status(thm)],[865])).
% fof(867, plain,![X3]:![X4]:(((((((is_reflexive_in(X3,X4)|~(well_orders(X3,X4)))|~(relation(X3)))&((is_transitive_in(X3,X4)|~(well_orders(X3,X4)))|~(relation(X3))))&((is_antisymmetric_in(X3,X4)|~(well_orders(X3,X4)))|~(relation(X3))))&((is_connected_in(X3,X4)|~(well_orders(X3,X4)))|~(relation(X3))))&((is_well_founded_in(X3,X4)|~(well_orders(X3,X4)))|~(relation(X3))))&((((((~(is_reflexive_in(X3,X4))|~(is_transitive_in(X3,X4)))|~(is_antisymmetric_in(X3,X4)))|~(is_connected_in(X3,X4)))|~(is_well_founded_in(X3,X4)))|well_orders(X3,X4))|~(relation(X3)))),inference(distribute,[status(thm)],[866])).
% cnf(868,plain,(well_orders(X1,X2)|~relation(X1)|~is_well_founded_in(X1,X2)|~is_connected_in(X1,X2)|~is_antisymmetric_in(X1,X2)|~is_transitive_in(X1,X2)|~is_reflexive_in(X1,X2)),inference(split_conjunct,[status(thm)],[867])).
% cnf(869,plain,(is_well_founded_in(X1,X2)|~relation(X1)|~well_orders(X1,X2)),inference(split_conjunct,[status(thm)],[867])).
% cnf(870,plain,(is_connected_in(X1,X2)|~relation(X1)|~well_orders(X1,X2)),inference(split_conjunct,[status(thm)],[867])).
% cnf(871,plain,(is_antisymmetric_in(X1,X2)|~relation(X1)|~well_orders(X1,X2)),inference(split_conjunct,[status(thm)],[867])).
% cnf(872,plain,(is_transitive_in(X1,X2)|~relation(X1)|~well_orders(X1,X2)),inference(split_conjunct,[status(thm)],[867])).
% cnf(873,plain,(is_reflexive_in(X1,X2)|~relation(X1)|~well_orders(X1,X2)),inference(split_conjunct,[status(thm)],[867])).
% fof(1723, negated_conjecture,?[X1]:(relation(X1)&((~(well_orders(X1,relation_field(X1)))|~(well_ordering(X1)))&(well_orders(X1,relation_field(X1))|well_ordering(X1)))),inference(fof_nnf,[status(thm)],[300])).
% fof(1724, negated_conjecture,?[X2]:(relation(X2)&((~(well_orders(X2,relation_field(X2)))|~(well_ordering(X2)))&(well_orders(X2,relation_field(X2))|well_ordering(X2)))),inference(variable_rename,[status(thm)],[1723])).
% fof(1725, negated_conjecture,(relation(esk120_0)&((~(well_orders(esk120_0,relation_field(esk120_0)))|~(well_ordering(esk120_0)))&(well_orders(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)))),inference(skolemize,[status(esa)],[1724])).
% cnf(1726,negated_conjecture,(well_ordering(esk120_0)|well_orders(esk120_0,relation_field(esk120_0))),inference(split_conjunct,[status(thm)],[1725])).
% cnf(1727,negated_conjecture,(~well_ordering(esk120_0)|~well_orders(esk120_0,relation_field(esk120_0))),inference(split_conjunct,[status(thm)],[1725])).
% cnf(1728,negated_conjecture,(relation(esk120_0)),inference(split_conjunct,[status(thm)],[1725])).
% cnf(2119,negated_conjecture,(is_antisymmetric_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[871,1726,theory(equality)])).
% cnf(2120,negated_conjecture,(is_antisymmetric_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[2119,1728,theory(equality)])).
% cnf(2121,negated_conjecture,(is_antisymmetric_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)),inference(cn,[status(thm)],[2120,theory(equality)])).
% cnf(2122,negated_conjecture,(is_connected_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[870,1726,theory(equality)])).
% cnf(2123,negated_conjecture,(is_connected_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[2122,1728,theory(equality)])).
% cnf(2124,negated_conjecture,(is_connected_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)),inference(cn,[status(thm)],[2123,theory(equality)])).
% cnf(2125,negated_conjecture,(is_transitive_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[872,1726,theory(equality)])).
% cnf(2126,negated_conjecture,(is_transitive_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[2125,1728,theory(equality)])).
% cnf(2127,negated_conjecture,(is_transitive_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)),inference(cn,[status(thm)],[2126,theory(equality)])).
% cnf(2128,negated_conjecture,(is_well_founded_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[869,1726,theory(equality)])).
% cnf(2129,negated_conjecture,(is_well_founded_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[2128,1728,theory(equality)])).
% cnf(2130,negated_conjecture,(is_well_founded_in(esk120_0,relation_field(esk120_0))|well_ordering(esk120_0)),inference(cn,[status(thm)],[2129,theory(equality)])).
% cnf(2192,plain,(reflexive(X1)|~relation(X1)|~well_orders(X1,relation_field(X1))),inference(spm,[status(thm)],[378,873,theory(equality)])).
% cnf(3946,plain,(well_orders(X1,relation_field(X1))|~is_well_founded_in(X1,relation_field(X1))|~is_transitive_in(X1,relation_field(X1))|~is_connected_in(X1,relation_field(X1))|~is_antisymmetric_in(X1,relation_field(X1))|~relation(X1)|~reflexive(X1)),inference(spm,[status(thm)],[868,379,theory(equality)])).
% cnf(10403,negated_conjecture,(antisymmetric(esk120_0)|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[363,2121,theory(equality)])).
% cnf(10406,negated_conjecture,(antisymmetric(esk120_0)|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[10403,1728,theory(equality)])).
% cnf(10407,negated_conjecture,(antisymmetric(esk120_0)|well_ordering(esk120_0)),inference(cn,[status(thm)],[10406,theory(equality)])).
% cnf(10419,negated_conjecture,(connected(esk120_0)|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[368,2124,theory(equality)])).
% cnf(10424,negated_conjecture,(connected(esk120_0)|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[10419,1728,theory(equality)])).
% cnf(10425,negated_conjecture,(connected(esk120_0)|well_ordering(esk120_0)),inference(cn,[status(thm)],[10424,theory(equality)])).
% cnf(10426,negated_conjecture,(connected(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[860,10425,theory(equality)])).
% cnf(10428,negated_conjecture,(connected(esk120_0)|$false),inference(rw,[status(thm)],[10426,1728,theory(equality)])).
% cnf(10429,negated_conjecture,(connected(esk120_0)),inference(cn,[status(thm)],[10428,theory(equality)])).
% cnf(10433,negated_conjecture,(transitive(esk120_0)|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[373,2127,theory(equality)])).
% cnf(10436,negated_conjecture,(transitive(esk120_0)|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[10433,1728,theory(equality)])).
% cnf(10437,negated_conjecture,(transitive(esk120_0)|well_ordering(esk120_0)),inference(cn,[status(thm)],[10436,theory(equality)])).
% cnf(10438,negated_conjecture,(well_founded_relation(esk120_0)|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[383,2130,theory(equality)])).
% cnf(10441,negated_conjecture,(well_founded_relation(esk120_0)|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[10438,1728,theory(equality)])).
% cnf(10442,negated_conjecture,(well_founded_relation(esk120_0)|well_ordering(esk120_0)),inference(cn,[status(thm)],[10441,theory(equality)])).
% cnf(10444,negated_conjecture,(well_founded_relation(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[859,10442,theory(equality)])).
% cnf(10448,negated_conjecture,(well_founded_relation(esk120_0)|$false),inference(rw,[status(thm)],[10444,1728,theory(equality)])).
% cnf(10449,negated_conjecture,(well_founded_relation(esk120_0)),inference(cn,[status(thm)],[10448,theory(equality)])).
% cnf(11655,negated_conjecture,(reflexive(esk120_0)|well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[2192,1726,theory(equality)])).
% cnf(11660,negated_conjecture,(reflexive(esk120_0)|well_ordering(esk120_0)|$false),inference(rw,[status(thm)],[11655,1728,theory(equality)])).
% cnf(11661,negated_conjecture,(reflexive(esk120_0)|well_ordering(esk120_0)),inference(cn,[status(thm)],[11660,theory(equality)])).
% cnf(11662,negated_conjecture,(well_ordering(esk120_0)|~well_founded_relation(esk120_0)|~transitive(esk120_0)|~connected(esk120_0)|~antisymmetric(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[858,11661,theory(equality)])).
% cnf(11663,negated_conjecture,(well_ordering(esk120_0)|$false|~transitive(esk120_0)|~connected(esk120_0)|~antisymmetric(esk120_0)|~relation(esk120_0)),inference(rw,[status(thm)],[11662,10449,theory(equality)])).
% cnf(11664,negated_conjecture,(well_ordering(esk120_0)|$false|~transitive(esk120_0)|$false|~antisymmetric(esk120_0)|~relation(esk120_0)),inference(rw,[status(thm)],[11663,10429,theory(equality)])).
% cnf(11665,negated_conjecture,(well_ordering(esk120_0)|$false|~transitive(esk120_0)|$false|~antisymmetric(esk120_0)|$false),inference(rw,[status(thm)],[11664,1728,theory(equality)])).
% cnf(11666,negated_conjecture,(well_ordering(esk120_0)|~transitive(esk120_0)|~antisymmetric(esk120_0)),inference(cn,[status(thm)],[11665,theory(equality)])).
% cnf(11689,negated_conjecture,(well_ordering(esk120_0)|~transitive(esk120_0)),inference(csr,[status(thm)],[11666,10407])).
% cnf(11690,negated_conjecture,(well_ordering(esk120_0)),inference(csr,[status(thm)],[11689,10437])).
% cnf(11699,negated_conjecture,(~well_orders(esk120_0,relation_field(esk120_0))|$false),inference(rw,[status(thm)],[1727,11690,theory(equality)])).
% cnf(11700,negated_conjecture,(~well_orders(esk120_0,relation_field(esk120_0))),inference(cn,[status(thm)],[11699,theory(equality)])).
% cnf(143809,negated_conjecture,(~is_well_founded_in(esk120_0,relation_field(esk120_0))|~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_connected_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|~relation(esk120_0)),inference(spm,[status(thm)],[11700,3946,theory(equality)])).
% cnf(143826,negated_conjecture,(~is_well_founded_in(esk120_0,relation_field(esk120_0))|~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_connected_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|$false),inference(rw,[status(thm)],[143809,1728,theory(equality)])).
% cnf(143827,negated_conjecture,(~is_well_founded_in(esk120_0,relation_field(esk120_0))|~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_connected_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))),inference(cn,[status(thm)],[143826,theory(equality)])).
% cnf(143847,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_connected_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|~well_founded_relation(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[143827,384,theory(equality)])).
% cnf(143854,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_connected_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|$false|~relation(esk120_0)),inference(rw,[status(thm)],[143847,10449,theory(equality)])).
% cnf(143855,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_connected_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|$false|$false),inference(rw,[status(thm)],[143854,1728,theory(equality)])).
% cnf(143856,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_connected_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))),inference(cn,[status(thm)],[143855,theory(equality)])).
% cnf(143868,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|~connected(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[143856,369,theory(equality)])).
% cnf(143879,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|$false|~relation(esk120_0)),inference(rw,[status(thm)],[143868,10429,theory(equality)])).
% cnf(143880,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))|$false|$false),inference(rw,[status(thm)],[143879,1728,theory(equality)])).
% cnf(143881,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~is_antisymmetric_in(esk120_0,relation_field(esk120_0))),inference(cn,[status(thm)],[143880,theory(equality)])).
% cnf(143895,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~antisymmetric(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[143881,364,theory(equality)])).
% cnf(143906,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~antisymmetric(esk120_0)|$false),inference(rw,[status(thm)],[143895,1728,theory(equality)])).
% cnf(143907,negated_conjecture,(~reflexive(esk120_0)|~is_transitive_in(esk120_0,relation_field(esk120_0))|~antisymmetric(esk120_0)),inference(cn,[status(thm)],[143906,theory(equality)])).
% cnf(144112,negated_conjecture,(~reflexive(esk120_0)|~antisymmetric(esk120_0)|~transitive(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[143907,374,theory(equality)])).
% cnf(144123,negated_conjecture,(~reflexive(esk120_0)|~antisymmetric(esk120_0)|~transitive(esk120_0)|$false),inference(rw,[status(thm)],[144112,1728,theory(equality)])).
% cnf(144124,negated_conjecture,(~reflexive(esk120_0)|~antisymmetric(esk120_0)|~transitive(esk120_0)),inference(cn,[status(thm)],[144123,theory(equality)])).
% cnf(144128,negated_conjecture,(~transitive(esk120_0)|~antisymmetric(esk120_0)|~well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[144124,863,theory(equality)])).
% cnf(144132,negated_conjecture,(~transitive(esk120_0)|~antisymmetric(esk120_0)|$false|~relation(esk120_0)),inference(rw,[status(thm)],[144128,11690,theory(equality)])).
% cnf(144133,negated_conjecture,(~transitive(esk120_0)|~antisymmetric(esk120_0)|$false|$false),inference(rw,[status(thm)],[144132,1728,theory(equality)])).
% cnf(144134,negated_conjecture,(~transitive(esk120_0)|~antisymmetric(esk120_0)),inference(cn,[status(thm)],[144133,theory(equality)])).
% cnf(144141,negated_conjecture,(~antisymmetric(esk120_0)|~well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[
% 144134,862,theory(equality)])).
% cnf(144147,negated_conjecture,(~antisymmetric(esk120_0)|$false|~relation(esk120_0)),inference(rw,[status(thm)],[144141,11690,theory(equality)])).
% cnf(144148,negated_conjecture,(~antisymmetric(esk120_0)|$false|$false),inference(rw,[status(thm)],[144147,1728,theory(equality)])).
% cnf(144149,negated_conjecture,(~antisymmetric(esk120_0)),inference(cn,[status(thm)],[144148,theory(equality)])).
% cnf(144156,negated_conjecture,(~well_ordering(esk120_0)|~relation(esk120_0)),inference(spm,[status(thm)],[144149,861,theory(equality)])).
% cnf(144162,negated_conjecture,($false|~relation(esk120_0)),inference(rw,[status(thm)],[144156,11690,theory(equality)])).
% cnf(144163,negated_conjecture,($false|$false),inference(rw,[status(thm)],[144162,1728,theory(equality)])).
% cnf(144164,negated_conjecture,($false),inference(cn,[status(thm)],[144163,theory(equality)])).
% cnf(144165,negated_conjecture,($false),144164,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 14662
% # ...of these trivial : 70
% # ...subsumed : 10211
% # ...remaining for further processing: 4381
% # Other redundant clauses eliminated : 252
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 76
% # Backward-rewritten : 71
% # Generated clauses : 116802
% # ...of the previous two non-trivial : 111792
% # Contextual simplify-reflections : 2341
% # Paramodulations : 116424
% # Factorizations : 19
% # Equation resolutions : 359
% # Current number of processed clauses: 3659
% # Positive orientable unit clauses: 155
% # Positive unorientable unit clauses: 4
% # Negative unit clauses : 796
% # Non-unit-clauses : 2704
% # Current number of unprocessed clauses: 96287
% # ...number of literals in the above : 427823
% # Clause-clause subsumption calls (NU) : 330328
% # Rec. Clause-clause subsumption calls : 213094
% # Unit Clause-clause subsumption calls : 74647
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 123
% # Indexed BW rewrite successes : 81
% # Backwards rewriting index: 2673 leaves, 1.47+/-1.897 terms/leaf
% # Paramod-from index: 762 leaves, 1.12+/-0.928 terms/leaf
% # Paramod-into index: 2457 leaves, 1.42+/-1.668 terms/leaf
% # -------------------------------------------------
% # User time : 6.454 s
% # System time : 0.175 s
% # Total time : 6.629 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.96 CPU 9.10 WC
% FINAL PrfWatch: 8.96 CPU 9.10 WC
% SZS output end Solution for /tmp/SystemOnTPTP8836/SEU244+2.tptp
%
%------------------------------------------------------------------------------