TSTP Solution File: SEU261+2 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU261+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 02:41:02 EST 2010
% Result : Theorem 5.53s
% Output : Solution 5.53s
% 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/SystemOnTPTP17574/SEU261+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17574/SEU261+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17574/SEU261+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 17670
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.078 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(25, axiom,![X1]:(relation(X1)=>(well_orders(X1,relation_field(X1))<=>well_ordering(X1))),file('/tmp/SRASS.s.p', t8_wellord1)).
% fof(45, axiom,![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>(relation_isomorphism(X1,X2,X3)=>(((((reflexive(X1)=>reflexive(X2))&(transitive(X1)=>transitive(X2)))&(connected(X1)=>connected(X2)))&(antisymmetric(X1)=>antisymmetric(X2)))&(well_founded_relation(X1)=>well_founded_relation(X2))))))),file('/tmp/SRASS.s.p', t53_wellord1)).
% fof(77, axiom,![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>(relation_isomorphism(X1,X2,X3)<=>(((relation_dom(X3)=relation_field(X1)&relation_rng(X3)=relation_field(X2))&one_to_one(X3))&![X4]:![X5]:(in(ordered_pair(X4,X5),X1)<=>((in(X4,relation_field(X1))&in(X5,relation_field(X1)))&in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)))))))),file('/tmp/SRASS.s.p', d7_wellord1)).
% fof(95, 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(128, axiom,![X1]:(relation(X1)=>(reflexive(X1)<=>is_reflexive_in(X1,relation_field(X1)))),file('/tmp/SRASS.s.p', d9_relat_2)).
% fof(289, 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(321, conjecture,![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>((well_ordering(X1)&relation_isomorphism(X1,X2,X3))=>well_ordering(X2))))),file('/tmp/SRASS.s.p', t54_wellord1)).
% fof(322, negated_conjecture,~(![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>((well_ordering(X1)&relation_isomorphism(X1,X2,X3))=>well_ordering(X2)))))),inference(assume_negation,[status(cth)],[321])).
% fof(358, plain,![X1]:![X2]:(epred1_2(X2,X1)=>(((((reflexive(X1)=>reflexive(X2))&(transitive(X1)=>transitive(X2)))&(connected(X1)=>connected(X2)))&(antisymmetric(X1)=>antisymmetric(X2)))&(well_founded_relation(X1)=>well_founded_relation(X2)))),introduced(definition)).
% fof(359, plain,![X1]:(relation(X1)=>![X2]:(relation(X2)=>![X3]:((relation(X3)&function(X3))=>(relation_isomorphism(X1,X2,X3)=>epred1_2(X2,X1))))),inference(apply_def,[status(esa)],[45,358,theory(equality)])).
% fof(453, plain,![X1]:(~(relation(X1))|((~(well_orders(X1,relation_field(X1)))|well_ordering(X1))&(~(well_ordering(X1))|well_orders(X1,relation_field(X1))))),inference(fof_nnf,[status(thm)],[25])).
% fof(454, plain,![X2]:(~(relation(X2))|((~(well_orders(X2,relation_field(X2)))|well_ordering(X2))&(~(well_ordering(X2))|well_orders(X2,relation_field(X2))))),inference(variable_rename,[status(thm)],[453])).
% fof(455, plain,![X2]:(((~(well_orders(X2,relation_field(X2)))|well_ordering(X2))|~(relation(X2)))&((~(well_ordering(X2))|well_orders(X2,relation_field(X2)))|~(relation(X2)))),inference(distribute,[status(thm)],[454])).
% cnf(456,plain,(well_orders(X1,relation_field(X1))|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[455])).
% fof(529, plain,![X1]:(~(relation(X1))|![X2]:(~(relation(X2))|![X3]:((~(relation(X3))|~(function(X3)))|(~(relation_isomorphism(X1,X2,X3))|epred1_2(X2,X1))))),inference(fof_nnf,[status(thm)],[359])).
% fof(530, plain,![X4]:(~(relation(X4))|![X5]:(~(relation(X5))|![X6]:((~(relation(X6))|~(function(X6)))|(~(relation_isomorphism(X4,X5,X6))|epred1_2(X5,X4))))),inference(variable_rename,[status(thm)],[529])).
% fof(531, plain,![X4]:![X5]:![X6]:((((~(relation(X6))|~(function(X6)))|(~(relation_isomorphism(X4,X5,X6))|epred1_2(X5,X4)))|~(relation(X5)))|~(relation(X4))),inference(shift_quantors,[status(thm)],[530])).
% cnf(532,plain,(epred1_2(X2,X1)|~relation(X1)|~relation(X2)|~relation_isomorphism(X1,X2,X3)|~function(X3)|~relation(X3)),inference(split_conjunct,[status(thm)],[531])).
% fof(643, plain,![X1]:(~(relation(X1))|![X2]:(~(relation(X2))|![X3]:((~(relation(X3))|~(function(X3)))|((~(relation_isomorphism(X1,X2,X3))|(((relation_dom(X3)=relation_field(X1)&relation_rng(X3)=relation_field(X2))&one_to_one(X3))&![X4]:![X5]:((~(in(ordered_pair(X4,X5),X1))|((in(X4,relation_field(X1))&in(X5,relation_field(X1)))&in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)))&(((~(in(X4,relation_field(X1)))|~(in(X5,relation_field(X1))))|~(in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)))|in(ordered_pair(X4,X5),X1)))))&((((~(relation_dom(X3)=relation_field(X1))|~(relation_rng(X3)=relation_field(X2)))|~(one_to_one(X3)))|?[X4]:?[X5]:((~(in(ordered_pair(X4,X5),X1))|((~(in(X4,relation_field(X1)))|~(in(X5,relation_field(X1))))|~(in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2))))&(in(ordered_pair(X4,X5),X1)|((in(X4,relation_field(X1))&in(X5,relation_field(X1)))&in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)))))|relation_isomorphism(X1,X2,X3)))))),inference(fof_nnf,[status(thm)],[77])).
% fof(644, plain,![X6]:(~(relation(X6))|![X7]:(~(relation(X7))|![X8]:((~(relation(X8))|~(function(X8)))|((~(relation_isomorphism(X6,X7,X8))|(((relation_dom(X8)=relation_field(X6)&relation_rng(X8)=relation_field(X7))&one_to_one(X8))&![X9]:![X10]:((~(in(ordered_pair(X9,X10),X6))|((in(X9,relation_field(X6))&in(X10,relation_field(X6)))&in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)))&(((~(in(X9,relation_field(X6)))|~(in(X10,relation_field(X6))))|~(in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)))|in(ordered_pair(X9,X10),X6)))))&((((~(relation_dom(X8)=relation_field(X6))|~(relation_rng(X8)=relation_field(X7)))|~(one_to_one(X8)))|?[X11]:?[X12]:((~(in(ordered_pair(X11,X12),X6))|((~(in(X11,relation_field(X6)))|~(in(X12,relation_field(X6))))|~(in(ordered_pair(apply(X8,X11),apply(X8,X12)),X7))))&(in(ordered_pair(X11,X12),X6)|((in(X11,relation_field(X6))&in(X12,relation_field(X6)))&in(ordered_pair(apply(X8,X11),apply(X8,X12)),X7)))))|relation_isomorphism(X6,X7,X8)))))),inference(variable_rename,[status(thm)],[643])).
% fof(645, plain,![X6]:(~(relation(X6))|![X7]:(~(relation(X7))|![X8]:((~(relation(X8))|~(function(X8)))|((~(relation_isomorphism(X6,X7,X8))|(((relation_dom(X8)=relation_field(X6)&relation_rng(X8)=relation_field(X7))&one_to_one(X8))&![X9]:![X10]:((~(in(ordered_pair(X9,X10),X6))|((in(X9,relation_field(X6))&in(X10,relation_field(X6)))&in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)))&(((~(in(X9,relation_field(X6)))|~(in(X10,relation_field(X6))))|~(in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)))|in(ordered_pair(X9,X10),X6)))))&((((~(relation_dom(X8)=relation_field(X6))|~(relation_rng(X8)=relation_field(X7)))|~(one_to_one(X8)))|((~(in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6))|((~(in(esk14_3(X6,X7,X8),relation_field(X6)))|~(in(esk15_3(X6,X7,X8),relation_field(X6))))|~(in(ordered_pair(apply(X8,esk14_3(X6,X7,X8)),apply(X8,esk15_3(X6,X7,X8))),X7))))&(in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6)|((in(esk14_3(X6,X7,X8),relation_field(X6))&in(esk15_3(X6,X7,X8),relation_field(X6)))&in(ordered_pair(apply(X8,esk14_3(X6,X7,X8)),apply(X8,esk15_3(X6,X7,X8))),X7)))))|relation_isomorphism(X6,X7,X8)))))),inference(skolemize,[status(esa)],[644])).
% fof(646, plain,![X6]:![X7]:![X8]:![X9]:![X10]:((((((((~(in(ordered_pair(X9,X10),X6))|((in(X9,relation_field(X6))&in(X10,relation_field(X6)))&in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)))&(((~(in(X9,relation_field(X6)))|~(in(X10,relation_field(X6))))|~(in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)))|in(ordered_pair(X9,X10),X6)))&((relation_dom(X8)=relation_field(X6)&relation_rng(X8)=relation_field(X7))&one_to_one(X8)))|~(relation_isomorphism(X6,X7,X8)))&((((~(relation_dom(X8)=relation_field(X6))|~(relation_rng(X8)=relation_field(X7)))|~(one_to_one(X8)))|((~(in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6))|((~(in(esk14_3(X6,X7,X8),relation_field(X6)))|~(in(esk15_3(X6,X7,X8),relation_field(X6))))|~(in(ordered_pair(apply(X8,esk14_3(X6,X7,X8)),apply(X8,esk15_3(X6,X7,X8))),X7))))&(in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6)|((in(esk14_3(X6,X7,X8),relation_field(X6))&in(esk15_3(X6,X7,X8),relation_field(X6)))&in(ordered_pair(apply(X8,esk14_3(X6,X7,X8)),apply(X8,esk15_3(X6,X7,X8))),X7)))))|relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6))),inference(shift_quantors,[status(thm)],[645])).
% fof(647, plain,![X6]:![X7]:![X8]:![X9]:![X10]:((((((((((in(X9,relation_field(X6))|~(in(ordered_pair(X9,X10),X6)))|~(relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6)))&(((((in(X10,relation_field(X6))|~(in(ordered_pair(X9,X10),X6)))|~(relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6))))&(((((in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)|~(in(ordered_pair(X9,X10),X6)))|~(relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6))))&(((((((~(in(X9,relation_field(X6)))|~(in(X10,relation_field(X6))))|~(in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)))|in(ordered_pair(X9,X10),X6))|~(relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6))))&((((((relation_dom(X8)=relation_field(X6)|~(relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6)))&((((relation_rng(X8)=relation_field(X7)|~(relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6))))&((((one_to_one(X8)|~(relation_isomorphism(X6,X7,X8)))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6)))))&(((((((~(in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6))|((~(in(esk14_3(X6,X7,X8),relation_field(X6)))|~(in(esk15_3(X6,X7,X8),relation_field(X6))))|~(in(ordered_pair(apply(X8,esk14_3(X6,X7,X8)),apply(X8,esk15_3(X6,X7,X8))),X7))))|((~(relation_dom(X8)=relation_field(X6))|~(relation_rng(X8)=relation_field(X7)))|~(one_to_one(X8))))|relation_isomorphism(X6,X7,X8))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6)))&((((((((in(esk14_3(X6,X7,X8),relation_field(X6))|in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6))|((~(relation_dom(X8)=relation_field(X6))|~(relation_rng(X8)=relation_field(X7)))|~(one_to_one(X8))))|relation_isomorphism(X6,X7,X8))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6)))&((((((in(esk15_3(X6,X7,X8),relation_field(X6))|in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6))|((~(relation_dom(X8)=relation_field(X6))|~(relation_rng(X8)=relation_field(X7)))|~(one_to_one(X8))))|relation_isomorphism(X6,X7,X8))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6))))&((((((in(ordered_pair(apply(X8,esk14_3(X6,X7,X8)),apply(X8,esk15_3(X6,X7,X8))),X7)|in(ordered_pair(esk14_3(X6,X7,X8),esk15_3(X6,X7,X8)),X6))|((~(relation_dom(X8)=relation_field(X6))|~(relation_rng(X8)=relation_field(X7)))|~(one_to_one(X8))))|relation_isomorphism(X6,X7,X8))|(~(relation(X8))|~(function(X8))))|~(relation(X7)))|~(relation(X6)))))),inference(distribute,[status(thm)],[646])).
% cnf(654,plain,(relation_dom(X3)=relation_field(X1)|~relation(X1)|~relation(X2)|~function(X3)|~relation(X3)|~relation_isomorphism(X1,X2,X3)),inference(split_conjunct,[status(thm)],[647])).
% fof(720, 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)],[95])).
% fof(721, 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)],[720])).
% fof(722, 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)],[721])).
% cnf(723,plain,(well_ordering(X1)|~relation(X1)|~well_founded_relation(X1)|~connected(X1)|~antisymmetric(X1)|~transitive(X1)|~reflexive(X1)),inference(split_conjunct,[status(thm)],[722])).
% cnf(724,plain,(well_founded_relation(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[722])).
% cnf(725,plain,(connected(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[722])).
% cnf(726,plain,(antisymmetric(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[722])).
% cnf(727,plain,(transitive(X1)|~relation(X1)|~well_ordering(X1)),inference(split_conjunct,[status(thm)],[722])).
% fof(862, 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)],[128])).
% fof(863, 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)],[862])).
% fof(864, 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)],[863])).
% cnf(865,plain,(reflexive(X1)|~relation(X1)|~is_reflexive_in(X1,relation_field(X1))),inference(split_conjunct,[status(thm)],[864])).
% fof(1766, 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)],[289])).
% fof(1767, 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)],[1766])).
% fof(1768, 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)],[1767])).
% fof(1769, 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)],[1768])).
% cnf(1775,plain,(is_reflexive_in(X1,X2)|~relation(X1)|~well_orders(X1,X2)),inference(split_conjunct,[status(thm)],[1769])).
% fof(1848, negated_conjecture,?[X1]:(relation(X1)&?[X2]:(relation(X2)&?[X3]:((relation(X3)&function(X3))&((well_ordering(X1)&relation_isomorphism(X1,X2,X3))&~(well_ordering(X2)))))),inference(fof_nnf,[status(thm)],[322])).
% fof(1849, negated_conjecture,?[X4]:(relation(X4)&?[X5]:(relation(X5)&?[X6]:((relation(X6)&function(X6))&((well_ordering(X4)&relation_isomorphism(X4,X5,X6))&~(well_ordering(X5)))))),inference(variable_rename,[status(thm)],[1848])).
% fof(1850, negated_conjecture,(relation(esk123_0)&(relation(esk124_0)&((relation(esk125_0)&function(esk125_0))&((well_ordering(esk123_0)&relation_isomorphism(esk123_0,esk124_0,esk125_0))&~(well_ordering(esk124_0)))))),inference(skolemize,[status(esa)],[1849])).
% cnf(1851,negated_conjecture,(~well_ordering(esk124_0)),inference(split_conjunct,[status(thm)],[1850])).
% cnf(1852,negated_conjecture,(relation_isomorphism(esk123_0,esk124_0,esk125_0)),inference(split_conjunct,[status(thm)],[1850])).
% cnf(1853,negated_conjecture,(well_ordering(esk123_0)),inference(split_conjunct,[status(thm)],[1850])).
% cnf(1854,negated_conjecture,(function(esk125_0)),inference(split_conjunct,[status(thm)],[1850])).
% cnf(1855,negated_conjecture,(relation(esk125_0)),inference(split_conjunct,[status(thm)],[1850])).
% cnf(1856,negated_conjecture,(relation(esk124_0)),inference(split_conjunct,[status(thm)],[1850])).
% cnf(1857,negated_conjecture,(relation(esk123_0)),inference(split_conjunct,[status(thm)],[1850])).
% fof(1858, plain,![X1]:![X2]:(~(epred1_2(X2,X1))|(((((~(reflexive(X1))|reflexive(X2))&(~(transitive(X1))|transitive(X2)))&(~(connected(X1))|connected(X2)))&(~(antisymmetric(X1))|antisymmetric(X2)))&(~(well_founded_relation(X1))|well_founded_relation(X2)))),inference(fof_nnf,[status(thm)],[358])).
% fof(1859, plain,![X3]:![X4]:(~(epred1_2(X4,X3))|(((((~(reflexive(X3))|reflexive(X4))&(~(transitive(X3))|transitive(X4)))&(~(connected(X3))|connected(X4)))&(~(antisymmetric(X3))|antisymmetric(X4)))&(~(well_founded_relation(X3))|well_founded_relation(X4)))),inference(variable_rename,[status(thm)],[1858])).
% fof(1860, plain,![X3]:![X4]:((((((~(reflexive(X3))|reflexive(X4))|~(epred1_2(X4,X3)))&((~(transitive(X3))|transitive(X4))|~(epred1_2(X4,X3))))&((~(connected(X3))|connected(X4))|~(epred1_2(X4,X3))))&((~(antisymmetric(X3))|antisymmetric(X4))|~(epred1_2(X4,X3))))&((~(well_founded_relation(X3))|well_founded_relation(X4))|~(epred1_2(X4,X3)))),inference(distribute,[status(thm)],[1859])).
% cnf(1861,plain,(well_founded_relation(X1)|~epred1_2(X1,X2)|~well_founded_relation(X2)),inference(split_conjunct,[status(thm)],[1860])).
% cnf(1862,plain,(antisymmetric(X1)|~epred1_2(X1,X2)|~antisymmetric(X2)),inference(split_conjunct,[status(thm)],[1860])).
% cnf(1863,plain,(connected(X1)|~epred1_2(X1,X2)|~connected(X2)),inference(split_conjunct,[status(thm)],[1860])).
% cnf(1864,plain,(transitive(X1)|~epred1_2(X1,X2)|~transitive(X2)),inference(split_conjunct,[status(thm)],[1860])).
% cnf(1865,plain,(reflexive(X1)|~epred1_2(X1,X2)|~reflexive(X2)),inference(split_conjunct,[status(thm)],[1860])).
% cnf(2192,negated_conjecture,(connected(esk123_0)|~relation(esk123_0)),inference(spm,[status(thm)],[725,1853,theory(equality)])).
% cnf(2193,negated_conjecture,(connected(esk123_0)|$false),inference(rw,[status(thm)],[2192,1857,theory(equality)])).
% cnf(2194,negated_conjecture,(connected(esk123_0)),inference(cn,[status(thm)],[2193,theory(equality)])).
% cnf(2940,negated_conjecture,(relation_dom(esk125_0)=relation_field(esk123_0)|~function(esk125_0)|~relation(esk125_0)|~relation(esk124_0)|~relation(esk123_0)),inference(spm,[status(thm)],[654,1852,theory(equality)])).
% cnf(2941,negated_conjecture,(relation_dom(esk125_0)=relation_field(esk123_0)|$false|~relation(esk125_0)|~relation(esk124_0)|~relation(esk123_0)),inference(rw,[status(thm)],[2940,1854,theory(equality)])).
% cnf(2942,negated_conjecture,(relation_dom(esk125_0)=relation_field(esk123_0)|$false|$false|~relation(esk124_0)|~relation(esk123_0)),inference(rw,[status(thm)],[2941,1855,theory(equality)])).
% cnf(2943,negated_conjecture,(relation_dom(esk125_0)=relation_field(esk123_0)|$false|$false|$false|~relation(esk123_0)),inference(rw,[status(thm)],[2942,1856,theory(equality)])).
% cnf(2944,negated_conjecture,(relation_dom(esk125_0)=relation_field(esk123_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[2943,1857,theory(equality)])).
% cnf(2945,negated_conjecture,(relation_dom(esk125_0)=relation_field(esk123_0)),inference(cn,[status(thm)],[2944,theory(equality)])).
% cnf(3171,negated_conjecture,(epred1_2(esk124_0,esk123_0)|~function(esk125_0)|~relation(esk125_0)|~relation(esk124_0)|~relation(esk123_0)),inference(spm,[status(thm)],[532,1852,theory(equality)])).
% cnf(3172,negated_conjecture,(epred1_2(esk124_0,esk123_0)|$false|~relation(esk125_0)|~relation(esk124_0)|~relation(esk123_0)),inference(rw,[status(thm)],[3171,1854,theory(equality)])).
% cnf(3173,negated_conjecture,(epred1_2(esk124_0,esk123_0)|$false|$false|~relation(esk124_0)|~relation(esk123_0)),inference(rw,[status(thm)],[3172,1855,theory(equality)])).
% cnf(3174,negated_conjecture,(epred1_2(esk124_0,esk123_0)|$false|$false|$false|~relation(esk123_0)),inference(rw,[status(thm)],[3173,1856,theory(equality)])).
% cnf(3175,negated_conjecture,(epred1_2(esk124_0,esk123_0)|$false|$false|$false|$false),inference(rw,[status(thm)],[3174,1857,theory(equality)])).
% cnf(3176,negated_conjecture,(epred1_2(esk124_0,esk123_0)),inference(cn,[status(thm)],[3175,theory(equality)])).
% cnf(11763,plain,(reflexive(esk124_0)|~reflexive(esk123_0)),inference(spm,[status(thm)],[1865,3176,theory(equality)])).
% cnf(11764,plain,(transitive(esk124_0)|~transitive(esk123_0)),inference(spm,[status(thm)],[1864,3176,theory(equality)])).
% cnf(11765,plain,(connected(esk124_0)|~connected(esk123_0)),inference(spm,[status(thm)],[1863,3176,theory(equality)])).
% cnf(11766,plain,(antisymmetric(esk124_0)|~antisymmetric(esk123_0)),inference(spm,[status(thm)],[1862,3176,theory(equality)])).
% cnf(11767,plain,(well_founded_relation(esk124_0)|~well_founded_relation(esk123_0)),inference(spm,[status(thm)],[1861,3176,theory(equality)])).
% cnf(11768,plain,(connected(esk124_0)|$false),inference(rw,[status(thm)],[11765,2194,theory(equality)])).
% cnf(11769,plain,(connected(esk124_0)),inference(cn,[status(thm)],[11768,theory(equality)])).
% cnf(11786,negated_conjecture,(well_orders(esk123_0,relation_dom(esk125_0))|~well_ordering(esk123_0)|~relation(esk123_0)),inference(spm,[status(thm)],[456,2945,theory(equality)])).
% cnf(11797,negated_conjecture,(reflexive(esk123_0)|~is_reflexive_in(esk123_0,relation_dom(esk125_0))|~relation(esk123_0)),inference(spm,[status(thm)],[865,2945,theory(equality)])).
% cnf(11805,negated_conjecture,(well_orders(esk123_0,relation_dom(esk125_0))|$false|~relation(esk123_0)),inference(rw,[status(thm)],[11786,1853,theory(equality)])).
% cnf(11806,negated_conjecture,(well_orders(esk123_0,relation_dom(esk125_0))|$false|$false),inference(rw,[status(thm)],[11805,1857,theory(equality)])).
% cnf(11807,negated_conjecture,(well_orders(esk123_0,relation_dom(esk125_0))),inference(cn,[status(thm)],[11806,theory(equality)])).
% cnf(11832,negated_conjecture,(reflexive(esk123_0)|~is_reflexive_in(esk123_0,relation_dom(esk125_0))|$false),inference(rw,[status(thm)],[11797,1857,theory(equality)])).
% cnf(11833,negated_conjecture,(reflexive(esk123_0)|~is_reflexive_in(esk123_0,relation_dom(esk125_0))),inference(cn,[status(thm)],[11832,theory(equality)])).
% cnf(12220,negated_conjecture,(reflexive(esk123_0)|~well_orders(esk123_0,relation_dom(esk125_0))|~relation(esk123_0)),inference(spm,[status(thm)],[11833,1775,theory(equality)])).
% cnf(12221,negated_conjecture,(reflexive(esk123_0)|$false|~relation(esk123_0)),inference(rw,[status(thm)],[12220,11807,theory(equality)])).
% cnf(12222,negated_conjecture,(reflexive(esk123_0)|$false|$false),inference(rw,[status(thm)],[12221,1857,theory(equality)])).
% cnf(12223,negated_conjecture,(reflexive(esk123_0)),inference(cn,[status(thm)],[12222,theory(equality)])).
% cnf(12225,plain,(reflexive(esk124_0)|$false),inference(rw,[status(thm)],[11763,12223,theory(equality)])).
% cnf(12226,plain,(reflexive(esk124_0)),inference(cn,[status(thm)],[12225,theory(equality)])).
% cnf(12232,plain,(well_ordering(esk124_0)|~well_founded_relation(esk124_0)|~antisymmetric(esk124_0)|~connected(esk124_0)|~transitive(esk124_0)|~relation(esk124_0)),inference(spm,[status(thm)],[723,12226,theory(equality)])).
% cnf(12233,plain,(well_ordering(esk124_0)|~well_founded_relation(esk124_0)|~antisymmetric(esk124_0)|$false|~transitive(esk124_0)|~relation(esk124_0)),inference(rw,[status(thm)],[12232,11769,theory(equality)])).
% cnf(12234,plain,(well_ordering(esk124_0)|~well_founded_relation(esk124_0)|~antisymmetric(esk124_0)|$false|~transitive(esk124_0)|$false),inference(rw,[status(thm)],[12233,1856,theory(equality)])).
% cnf(12235,plain,(well_ordering(esk124_0)|~well_founded_relation(esk124_0)|~antisymmetric(esk124_0)|~transitive(esk124_0)),inference(cn,[status(thm)],[12234,theory(equality)])).
% cnf(12236,plain,(~well_founded_relation(esk124_0)|~antisymmetric(esk124_0)|~transitive(esk124_0)),inference(sr,[status(thm)],[12235,1851,theory(equality)])).
% cnf(12252,plain,(~well_founded_relation(esk124_0)|~transitive(esk124_0)|~antisymmetric(esk123_0)),inference(spm,[status(thm)],[12236,11766,theory(equality)])).
% cnf(12255,plain,(~well_founded_relation(esk124_0)|~transitive(esk124_0)|~well_ordering(esk123_0)|~relation(esk123_0)),inference(spm,[status(thm)],[12252,726,theory(equality)])).
% cnf(12256,plain,(~well_founded_relation(esk124_0)|~transitive(esk124_0)|$false|~relation(esk123_0)),inference(rw,[status(thm)],[12255,1853,theory(equality)])).
% cnf(12257,plain,(~well_founded_relation(esk124_0)|~transitive(esk124_0)|$false|$false),inference(rw,[status(thm)],[12256,1857,theory(equality)])).
% cnf(12258,plain,(~well_founded_relation(esk124_0)|~transitive(esk124_0)),inference(cn,[status(thm)],[12257,theory(equality)])).
% cnf(12260,plain,(~well_founded_relation(esk124_0)|~transitive(esk123_0)),inference(spm,[status(thm)],[12258,11764,theory(equality)])).
% cnf(12263,plain,(~well_founded_relation(esk124_0)|~well_ordering(esk123_0)|~relation(esk123_0)),inference(spm,[status(thm)],[12260,727,theory(equality)])).
% cnf(12264,plain,(~well_founded_relation(esk124_0)|$false|~relation(esk123_0)),inference(rw,[status(thm)],[12263,1853,theory(equality)])).
% cnf(12265,plain,(~well_founded_relation(esk124_0)|$false|$false),inference(rw,[status(thm)],[12264,1857,theory(equality)])).
% cnf(12266,plain,(~well_founded_relation(esk124_0)),inference(cn,[status(thm)],[12265,theory(equality)])).
% cnf(12268,plain,(~well_founded_relation(esk123_0)),inference(spm,[status(thm)],[12266,11767,theory(equality)])).
% cnf(12271,plain,(~well_ordering(esk123_0)|~relation(esk123_0)),inference(spm,[status(thm)],[12268,724,theory(equality)])).
% cnf(12272,plain,($false|~relation(esk123_0)),inference(rw,[status(thm)],[12271,1853,theory(equality)])).
% cnf(12273,plain,($false|$false),inference(rw,[status(thm)],[12272,1857,theory(equality)])).
% cnf(12274,plain,($false),inference(cn,[status(thm)],[12273,theory(equality)])).
% cnf(12275,plain,($false),12274,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1362
% # ...of these trivial : 18
% # ...subsumed : 51
% # ...remaining for further processing: 1293
% # Other redundant clauses eliminated : 88
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 22
% # Generated clauses : 8906
% # ...of the previous two non-trivial : 8535
% # Contextual simplify-reflections : 34
% # Paramodulations : 8763
% # Factorizations : 14
% # Equation resolutions : 129
% # Current number of processed clauses: 644
% # Positive orientable unit clauses: 82
% # Positive unorientable unit clauses: 3
% # Negative unit clauses : 17
% # Non-unit-clauses : 542
% # Current number of unprocessed clauses: 8337
% # ...number of literals in the above : 43994
% # Clause-clause subsumption calls (NU) : 58266
% # Rec. Clause-clause subsumption calls : 13539
% # Unit Clause-clause subsumption calls : 1428
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 61
% # Indexed BW rewrite successes : 52
% # Backwards rewriting index: 701 leaves, 1.57+/-3.298 terms/leaf
% # Paramod-from index: 305 leaves, 1.15+/-1.517 terms/leaf
% # Paramod-into index: 636 leaves, 1.39+/-2.755 terms/leaf
% # -------------------------------------------------
% # User time : 0.636 s
% # System time : 0.016 s
% # Total time : 0.652 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.02 CPU 1.11 WC
% FINAL PrfWatch: 1.02 CPU 1.11 WC
% SZS output end Solution for /tmp/SystemOnTPTP17574/SEU261+2.tptp
%
%------------------------------------------------------------------------------