%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : REL043+1 : TPTP v5.0.0. Released v4.0.0.
% 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 : Wed Dec 29 22:01:24 EST 2010

% Result   : Theorem 157.90s
% Output   : Solution 283.77s
% 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/SystemOnTPTP13448/REL043+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% not found
% Adding ~C to TBU       ... ~goals:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT   ... yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... maddux1_join_commutativity:
%  CSA axiom maddux1_join_commutativity found
% Looking for CSA axiom ... maddux2_join_associativity:
%  CSA axiom maddux2_join_associativity found
% Looking for CSA axiom ... maddux3_a_kind_of_de_Morgan:
%  CSA axiom maddux3_a_kind_of_de_Morgan found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... composition_associativity:
%  CSA axiom composition_associativity found
% Looking for CSA axiom ... composition_distributivity:
%  CSA axiom composition_distributivity found
% Looking for CSA axiom ... converse_idempotence:
%  CSA axiom converse_idempotence found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ... not found
% Looking for CSA axiom ... converse_additivity:
%  CSA axiom converse_additivity found
% Looking for CSA axiom ... converse_multiplicativity:
%  CSA axiom converse_multiplicativity found
% Looking for CSA axiom ... converse_cancellativity:
%  CSA axiom converse_cancellativity found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% ---- Selection completed
% Selected axioms are   ... :converse_cancellativity:converse_multiplicativity:converse_additivity:converse_idempotence:composition_distributivity:composition_associativity:maddux3_a_kind_of_de_Morgan:maddux2_join_associativity:maddux1_join_commutativity (9)
% Unselected axioms are ... :maddux4_definiton_of_meet:def_top:composition_identity:def_zero (4)
% SZS status THM for /tmp/SystemOnTPTP13448/REL043+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP13448/REL043+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC  time limit is 1200s
% TreeLimitedRun: PID is 15249
% TreeLimitedRun: ----------------------------------------------------------
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% # Preprocessing time     : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
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% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2),file('/tmp/SRASS.s.p', converse_cancellativity)).
% fof(2, axiom,![X1]:![X2]:converse(composition(X1,X2))=composition(converse(X2),converse(X1)),file('/tmp/SRASS.s.p', converse_multiplicativity)).
% fof(3, axiom,![X1]:![X2]:converse(join(X1,X2))=join(converse(X1),converse(X2)),file('/tmp/SRASS.s.p', converse_additivity)).
% fof(4, axiom,![X1]:converse(converse(X1))=X1,file('/tmp/SRASS.s.p', converse_idempotence)).
% fof(5, axiom,![X1]:![X2]:![X3]:composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3)),file('/tmp/SRASS.s.p', composition_distributivity)).
% fof(7, axiom,![X1]:![X2]:X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),file('/tmp/SRASS.s.p', maddux3_a_kind_of_de_Morgan)).
% fof(8, axiom,![X1]:![X2]:![X3]:join(X1,join(X2,X3))=join(join(X1,X2),X3),file('/tmp/SRASS.s.p', maddux2_join_associativity)).
% fof(9, axiom,![X1]:![X2]:join(X1,X2)=join(X2,X1),file('/tmp/SRASS.s.p', maddux1_join_commutativity)).
% fof(10, conjecture,![X1]:![X2]:![X3]:(join(composition(X1,converse(X2)),X3)=X3=>join(composition(complement(X3),X2),complement(X1))=complement(X1)),file('/tmp/SRASS.s.p', goals)).
% fof(11, negated_conjecture,~(![X1]:![X2]:![X3]:(join(composition(X1,converse(X2)),X3)=X3=>join(composition(complement(X3),X2),complement(X1))=complement(X1))),inference(assume_negation,[status(cth)],[10])).
% fof(12, plain,![X3]:![X4]:join(composition(converse(X3),complement(composition(X3,X4))),complement(X4))=complement(X4),inference(variable_rename,[status(thm)],[1])).
% cnf(13,plain,(join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2)),inference(split_conjunct,[status(thm)],[12])).
% fof(14, plain,![X3]:![X4]:converse(composition(X3,X4))=composition(converse(X4),converse(X3)),inference(variable_rename,[status(thm)],[2])).
% cnf(15,plain,(converse(composition(X1,X2))=composition(converse(X2),converse(X1))),inference(split_conjunct,[status(thm)],[14])).
% fof(16, plain,![X3]:![X4]:converse(join(X3,X4))=join(converse(X3),converse(X4)),inference(variable_rename,[status(thm)],[3])).
% cnf(17,plain,(converse(join(X1,X2))=join(converse(X1),converse(X2))),inference(split_conjunct,[status(thm)],[16])).
% fof(18, plain,![X2]:converse(converse(X2))=X2,inference(variable_rename,[status(thm)],[4])).
% cnf(19,plain,(converse(converse(X1))=X1),inference(split_conjunct,[status(thm)],[18])).
% fof(20, plain,![X4]:![X5]:![X6]:composition(join(X4,X5),X6)=join(composition(X4,X6),composition(X5,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(21,plain,(composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3))),inference(split_conjunct,[status(thm)],[20])).
% fof(24, plain,![X3]:![X4]:X3=join(complement(join(complement(X3),complement(X4))),complement(join(complement(X3),X4))),inference(variable_rename,[status(thm)],[7])).
% cnf(25,plain,(X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X4]:![X5]:![X6]:join(X4,join(X5,X6))=join(join(X4,X5),X6),inference(variable_rename,[status(thm)],[8])).
% cnf(27,plain,(join(X1,join(X2,X3))=join(join(X1,X2),X3)),inference(split_conjunct,[status(thm)],[26])).
% fof(28, plain,![X3]:![X4]:join(X3,X4)=join(X4,X3),inference(variable_rename,[status(thm)],[9])).
% cnf(29,plain,(join(X1,X2)=join(X2,X1)),inference(split_conjunct,[status(thm)],[28])).
% fof(30, negated_conjecture,?[X1]:?[X2]:?[X3]:(join(composition(X1,converse(X2)),X3)=X3&~(join(composition(complement(X3),X2),complement(X1))=complement(X1))),inference(fof_nnf,[status(thm)],[11])).
% fof(31, negated_conjecture,?[X4]:?[X5]:?[X6]:(join(composition(X4,converse(X5)),X6)=X6&~(join(composition(complement(X6),X5),complement(X4))=complement(X4))),inference(variable_rename,[status(thm)],[30])).
% fof(32, negated_conjecture,(join(composition(esk1_0,converse(esk2_0)),esk3_0)=esk3_0&~(join(composition(complement(esk3_0),esk2_0),complement(esk1_0))=complement(esk1_0))),inference(skolemize,[status(esa)],[31])).
% cnf(33,negated_conjecture,(join(composition(complement(esk3_0),esk2_0),complement(esk1_0))!=complement(esk1_0)),inference(split_conjunct,[status(thm)],[32])).
% cnf(34,negated_conjecture,(join(composition(esk1_0,converse(esk2_0)),esk3_0)=esk3_0),inference(split_conjunct,[status(thm)],[32])).
% cnf(35,negated_conjecture,(join(complement(esk1_0),composition(complement(esk3_0),esk2_0))!=complement(esk1_0)),inference(rw,[status(thm)],[33,29,theory(equality)])).
% cnf(36,negated_conjecture,(join(esk3_0,composition(esk1_0,converse(esk2_0)))=esk3_0),inference(rw,[status(thm)],[34,29,theory(equality)])).
% cnf(38,plain,(composition(X1,converse(X2))=converse(composition(X2,converse(X1)))),inference(spm,[status(thm)],[15,19,theory(equality)])).
% cnf(41,plain,(join(converse(X1),X2)=converse(join(X1,converse(X2)))),inference(spm,[status(thm)],[17,19,theory(equality)])).
% cnf(42,plain,(join(X1,converse(X2))=converse(join(converse(X1),X2))),inference(spm,[status(thm)],[17,19,theory(equality)])).
% cnf(59,plain,(join(composition(X2,converse(X1)),converse(X3))=converse(join(composition(X1,converse(X2)),X3))),inference(spm,[status(thm)],[17,38,theory(equality)])).
% cnf(62,plain,(join(converse(X1),composition(X3,converse(X2)))=converse(join(X1,composition(X2,converse(X3))))),inference(spm,[status(thm)],[17,38,theory(equality)])).
% cnf(96,plain,(converse(join(X1,join(X2,converse(X3))))=join(converse(join(X1,X2)),X3)),inference(spm,[status(thm)],[41,27,theory(equality)])).
% cnf(97,plain,(join(X1,join(X2,X3))=join(X3,join(X1,X2))),inference(spm,[status(thm)],[29,27,theory(equality)])).
% cnf(100,negated_conjecture,(join(esk3_0,X1)=join(esk3_0,join(composition(esk1_0,converse(esk2_0)),X1))),inference(spm,[status(thm)],[27,36,theory(equality)])).
% cnf(102,plain,(join(join(X2,X1),X3)=join(X1,join(X2,X3))),inference(spm,[status(thm)],[27,29,theory(equality)])).
% cnf(106,plain,(join(X2,join(X1,X3))=join(X1,join(X2,X3))),inference(rw,[status(thm)],[102,27,theory(equality)])).
% cnf(143,negated_conjecture,(join(esk3_0,join(X1,composition(esk1_0,converse(esk2_0))))=join(esk3_0,X1)),inference(spm,[status(thm)],[100,29,theory(equality)])).
% cnf(147,negated_conjecture,(join(join(esk3_0,X1),X2)=join(esk3_0,join(join(X1,composition(esk1_0,converse(esk2_0))),X2))),inference(spm,[status(thm)],[27,143,theory(equality)])).
% cnf(151,negated_conjecture,(join(esk3_0,join(X1,X2))=join(esk3_0,join(join(X1,composition(esk1_0,converse(esk2_0))),X2))),inference(rw,[status(thm)],[147,27,theory(equality)])).
% cnf(152,negated_conjecture,(join(esk3_0,join(X1,X2))=join(esk3_0,join(X1,join(composition(esk1_0,converse(esk2_0)),X2)))),inference(rw,[status(thm)],[151,27,theory(equality)])).
% cnf(366,plain,(converse(join(X1,join(X2,join(X3,converse(X4)))))=join(converse(join(X1,join(X2,X3))),X4)),inference(spm,[status(thm)],[96,27,theory(equality)])).
% cnf(421,plain,(join(X1,join(X2,X3))=join(X3,join(X2,X1))),inference(spm,[status(thm)],[97,29,theory(equality)])).
% cnf(626,plain,(join(complement(X2),composition(converse(X1),complement(composition(X1,X2))))=complement(X2)),inference(rw,[status(thm)],[13,29,theory(equality)])).
% cnf(630,plain,(join(X1,complement(X2))=join(complement(X2),join(X1,composition(converse(X3),complement(composition(X3,X2)))))),inference(spm,[status(thm)],[106,626,theory(equality)])).
% cnf(940,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=X1),inference(rw,[status(thm)],[25,29,theory(equality)])).
% cnf(941,plain,(join(X1,X3)=join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3))),inference(spm,[status(thm)],[27,940,theory(equality)])).
% cnf(945,plain,(join(X1,X2)=join(complement(join(complement(X2),X3)),join(X1,complement(join(complement(X2),complement(X3)))))),inference(spm,[status(thm)],[106,940,theory(equality)])).
% cnf(949,plain,(join(complement(join(complement(join(complement(X1),X2)),join(complement(X1),complement(X2)))),complement(X1))=join(complement(X1),X2)),inference(spm,[status(thm)],[940,940,theory(equality)])).
% cnf(950,plain,(join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1))))=X1),inference(spm,[status(thm)],[940,29,theory(equality)])).
% cnf(952,plain,(join(complement(join(X3,join(complement(X1),X2))),complement(join(complement(X1),complement(join(X2,X3)))))=X1),inference(spm,[status(thm)],[940,97,theory(equality)])).
% cnf(958,plain,(join(complement(join(X2,complement(X1))),complement(join(complement(X1),complement(X2))))=X1),inference(spm,[status(thm)],[940,29,theory(equality)])).
% cnf(1113,plain,(converse(composition(join(X1,X3),converse(X2)))=join(composition(X2,converse(X1)),converse(composition(X3,converse(X2))))),inference(spm,[status(thm)],[59,21,theory(equality)])).
% cnf(1144,plain,(composition(X2,converse(join(X1,X3)))=join(composition(X2,converse(X1)),converse(composition(X3,converse(X2))))),inference(rw,[status(thm)],[1113,38,theory(equality)])).
% cnf(1145,plain,(composition(X2,converse(join(X1,X3)))=join(composition(X2,converse(X1)),composition(X2,converse(X3)))),inference(rw,[status(thm)],[1144,38,theory(equality)])).
% cnf(1190,negated_conjecture,(converse(esk3_0)=join(converse(esk3_0),composition(esk2_0,converse(esk1_0)))),inference(spm,[status(thm)],[62,36,theory(equality)])).
% cnf(1231,negated_conjecture,(join(converse(esk3_0),X1)=join(converse(esk3_0),join(composition(esk2_0,converse(esk1_0)),X1))),inference(spm,[status(thm)],[27,1190,theory(equality)])).
% cnf(1904,negated_conjecture,(join(join(composition(esk2_0,converse(esk1_0)),X1),join(converse(esk3_0),X2))=join(X2,join(converse(esk3_0),X1))),inference(spm,[status(thm)],[421,1231,theory(equality)])).
% cnf(1933,negated_conjecture,(join(composition(esk2_0,converse(esk1_0)),join(X1,join(converse(esk3_0),X2)))=join(X2,join(converse(esk3_0),X1))),inference(rw,[status(thm)],[1904,27,theory(equality)])).
% cnf(2984,plain,(join(composition(X1,converse(X2)),composition(X1,X3))=composition(X1,converse(join(X2,converse(X3))))),inference(spm,[status(thm)],[1145,19,theory(equality)])).
% cnf(3026,plain,(join(composition(X1,converse(X2)),composition(X1,X3))=composition(X1,join(converse(X2),X3))),inference(rw,[status(thm)],[2984,41,theory(equality)])).
% cnf(3089,plain,(join(composition(X1,X2),composition(X1,X3))=composition(X1,join(X2,X3))),inference(spm,[status(thm)],[3026,19,theory(equality)])).
% cnf(3123,plain,(join(composition(X1,join(X2,X3)),X4)=join(composition(X1,X2),join(composition(X1,X3),X4))),inference(spm,[status(thm)],[27,3089,theory(equality)])).
% cnf(3341,negated_conjecture,(join(esk3_0,join(X1,join(composition(esk1_0,join(converse(esk2_0),X2)),X3)))=join(esk3_0,join(X1,join(composition(esk1_0,X2),X3)))),inference(spm,[status(thm)],[152,3123,theory(equality)])).
% cnf(5844,plain,(join(complement(join(X2,complement(X1))),complement(join(complement(X2),complement(X1))))=X1),inference(spm,[status(thm)],[950,29,theory(equality)])).
% cnf(5857,plain,(join(X1,X3)=join(complement(join(X2,complement(X3))),join(X1,complement(join(complement(X3),complement(X2)))))),inference(spm,[status(thm)],[106,958,theory(equality)])).
% cnf(7280,plain,(join(X2,X3)=join(complement(join(X1,complement(X2))),join(complement(join(complement(X1),complement(X2))),X3))),inference(spm,[status(thm)],[27,5844,theory(equality)])).
% cnf(7284,plain,(join(X1,X3)=join(complement(join(X2,complement(X3))),join(X1,complement(join(complement(X2),complement(X3)))))),inference(spm,[status(thm)],[106,5844,theory(equality)])).
% cnf(17410,plain,(join(complement(X1),composition(converse(X2),join(X3,complement(composition(X2,X1)))))=join(composition(converse(X2),X3),complement(X1))),inference(spm,[status(thm)],[630,3089,theory(equality)])).
% cnf(90426,plain,(join(X1,composition(converse(X3),complement(composition(X3,join(complement(X1),X2)))))=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))),inference(spm,[status(thm)],[630,941,theory(equality)])).
% cnf(90447,plain,(join(complement(join(complement(X1),X2)),X1)=join(X1,complement(join(complement(complement(X2)),complement(X1))))),inference(spm,[status(thm)],[941,950,theory(equality)])).
% cnf(90614,plain,(join(X1,c
% PrfWatch: 125.12 CPU 128.31 WC
% omposition(converse(X3),complement(composition(X3,join(complement(X1),X2)))))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[90426,29,theory(equality)]),940,theory(equality)])).
% cnf(90705,plain,(join(X1,composition(converse(X2),complement(composition(X2,complement(X1)))))=X1),inference(spm,[status(thm)],[90614,90614,theory(equality)])).
% cnf(91390,plain,(join(X1,X3)=join(X1,join(composition(converse(X2),complement(composition(X2,complement(X1)))),X3))),inference(spm,[status(thm)],[27,90705,theory(equality)])).
% cnf(92050,plain,(join(X1,complement(join(complement(complement(X2)),complement(X1))))=join(X1,complement(join(complement(X1),X2)))),inference(rw,[status(thm)],[90447,29,theory(equality)])).
% cnf(98631,plain,(join(complement(join(complement(X1),X2)),X2)=join(complement(join(complement(X2),X1)),X1)),inference(spm,[status(thm)],[945,950,theory(equality)])).
% cnf(98633,plain,(join(complement(join(complement(X1),X2)),X2)=join(complement(join(X1,complement(X2))),X1)),inference(spm,[status(thm)],[945,5844,theory(equality)])).
% cnf(98637,plain,(join(complement(join(complement(complement(X1)),X2)),join(X2,complement(join(complement(X2),X1))))=join(X2,complement(X1))),inference(spm,[status(thm)],[945,92050,theory(equality)])).
% cnf(98997,plain,(join(join(composition(converse(X1),complement(composition(X1,complement(X2)))),X3),join(X2,X4))=join(X4,join(X2,X3))),inference(spm,[status(thm)],[421,91390,theory(equality)])).
% cnf(99001,plain,(join(X1,join(X2,X4))=join(X2,join(X1,join(composition(converse(X3),complement(composition(X3,complement(X2)))),X4)))),inference(spm,[status(thm)],[106,91390,theory(equality)])).
% cnf(99434,plain,(join(composition(converse(X1),complement(composition(X1,complement(X2)))),join(X3,join(X2,X4)))=join(X4,join(X2,X3))),inference(rw,[status(thm)],[98997,27,theory(equality)])).
% cnf(103151,plain,(join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2))))))=join(complement(X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[949,97,theory(equality)]),29,theory(equality)]),29,theory(equality)])).
% cnf(108707,plain,(join(X2,complement(join(complement(X1),X2)))=join(complement(join(complement(X2),X1)),X1)),inference(rw,[status(thm)],[98631,29,theory(equality)])).
% cnf(108708,plain,(join(X2,complement(join(complement(X1),X2)))=join(X1,complement(join(complement(X2),X1)))),inference(rw,[status(thm)],[108707,29,theory(equality)])).
% cnf(109361,plain,(join(X2,complement(join(complement(X1),X2)))=join(complement(join(X1,complement(X2))),X1)),inference(rw,[status(thm)],[98633,29,theory(equality)])).
% cnf(109362,plain,(join(X2,complement(join(complement(X1),X2)))=join(X1,complement(join(X1,complement(X2))))),inference(rw,[status(thm)],[109361,29,theory(equality)])).
% cnf(109670,negated_conjecture,(join(esk3_0,join(X1,complement(join(X1,complement(composition(esk1_0,converse(esk2_0)))))))=join(esk3_0,complement(join(complement(X1),composition(esk1_0,converse(esk2_0)))))),inference(spm,[status(thm)],[100,109362,theory(equality)])).
% cnf(1520980,plain,(join(X2,join(complement(join(complement(X2),X1)),complement(join(complement(complement(X1)),X2))))=join(X2,complement(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[98637,97,theory(equality)]),29,theory(equality)]),106,theory(equality)])).
% cnf(1522243,plain,(join(complement(X1),X1)=join(complement(X1),complement(complement(X1)))),inference(spm,[status(thm)],[1520980,5844,theory(equality)])).
% cnf(1523003,plain,(join(complement(X1),complement(complement(X1)))=join(X1,complement(X1))),inference(rw,[status(thm)],[1522243,29,theory(equality)])).
% cnf(1523287,plain,(join(complement(join(X1,complement(complement(X1)))),complement(join(X1,complement(X1))))=complement(X1)),inference(spm,[status(thm)],[5844,1523003,theory(equality)])).
% cnf(1636826,plain,(join(complement(join(X1,complement(X1))),complement(join(X1,complement(complement(X1)))))=complement(X1)),inference(rw,[status(thm)],[1523287,29,theory(equality)])).
% cnf(1637089,plain,(complement(complement(X1))=X1),inference(spm,[status(thm)],[940,1636826,theory(equality)])).
% cnf(1637257,plain,(join(complement(join(X1,X2)),complement(join(X2,complement(X1))))=complement(X2)),inference(spm,[status(thm)],[958,1637089,theory(equality)])).
% cnf(1637258,plain,(join(complement(join(X1,X2)),join(complement(join(complement(X1),X2)),X3))=join(complement(X2),X3)),inference(spm,[status(thm)],[7280,1637089,theory(equality)])).
% cnf(1637263,plain,(join(complement(join(X1,X2)),complement(join(complement(X1),X2)))=complement(X2)),inference(spm,[status(thm)],[5844,1637089,theory(equality)])).
% cnf(1637264,plain,(join(complement(join(X1,X2)),join(X3,complement(join(X2,complement(X1)))))=join(X3,complement(X2))),inference(spm,[status(thm)],[5857,1637089,theory(equality)])).
% cnf(1637280,plain,(join(complement(join(X1,X2)),complement(join(X1,complement(X2))))=complement(X1)),inference(spm,[status(thm)],[940,1637089,theory(equality)])).
% cnf(1637309,plain,(join(X1,complement(join(complement(X2),join(X1,complement(join(X1,X2))))))=join(X1,X2)),inference(spm,[status(thm)],[103151,1637089,theory(equality)])).
% cnf(1638525,plain,(join(complement(join(join(X1,complement(X2)),complement(join(X2,X1)))),complement(complement(X1)))=complement(complement(join(X2,X1)))),inference(spm,[status(thm)],[1637257,1637257,theory(equality)])).
% cnf(1638599,plain,(join(complement(join(complement(X1),join(complement(join(X1,X2)),X2))),complement(complement(X2)))=join(X1,X2)),inference(spm,[status(thm)],[952,1637257,theory(equality)])).
% cnf(1638749,negated_conjecture,(join(complement(esk3_0),complement(join(composition(esk1_0,converse(esk2_0)),complement(esk3_0))))=complement(composition(esk1_0,converse(esk2_0)))),inference(spm,[status(thm)],[1637257,36,theory(equality)])).
% cnf(1639674,plain,(join(complement(join(X1,join(complement(X2),complement(join(X2,X1))))),X1)=complement(complement(join(X2,X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1638525,27,theory(equality)]),1637089,theory(equality)])).
% cnf(1639675,plain,(join(complement(join(X1,join(complement(X2),complement(join(X2,X1))))),X1)=join(X2,X1)),inference(rw,[status(thm)],[1639674,1637089,theory(equality)])).
% cnf(1639759,plain,(join(complement(join(complement(X1),join(complement(join(X1,X2)),X2))),X2)=join(X1,X2)),inference(rw,[status(thm)],[1638599,1637089,theory(equality)])).
% cnf(1640162,negated_conjecture,(join(complement(esk3_0),complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0)))))=complement(composition(esk1_0,converse(esk2_0)))),inference(rw,[status(thm)],[1638749,29,theory(equality)])).
% cnf(1640348,negated_conjecture,(join(esk3_0,complement(join(complement(complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0))))),esk3_0)))=join(complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0)))),complement(complement(composition(esk1_0,converse(esk2_0)))))),inference(spm,[status(thm)],[108708,1640162,theory(equality)])).
% cnf(1640508,negated_conjecture,(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))=join(complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0)))),complement(complement(composition(esk1_0,converse(esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1640348,1637089,theory(equality)]),27,theory(equality)]),29,theory(equality)]),36,theory(equality)]),29,theory(equality)])).
% cnf(1640509,negated_conjecture,(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))=join(complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0)))),composition(esk1_0,converse(esk2_0)))),inference(rw,[status(thm)],[1640508,1637089,theory(equality)])).
% cnf(1643051,negated_conjecture,(join(complement(esk3_0),complement(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))))=complement(esk3_0)),inference(spm,[status(thm)],[1637280,36,theory(equality)])).
% cnf(1659225,plain,(join(X1,complement(join(X1,join(complement(X2),complement(join(X2,X1))))))=join(X2,X1)),inference(rw,[status(thm)],[1639675,29,theory(equality)])).
% cnf(1669933,negated_conjecture,(join(esk3_0,complement(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))))=join(esk3_0,complement(join(esk3_0,complement(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1640509,29,theory(equality)]),109362,theory(equality)])).
% cnf(1669934,negated_conjecture,(join(join(esk3_0,complement(join(esk3_0,complement(esk3_0)))),X1)=join(esk3_0,join(complement(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))),X1))),inference(spm,[status(thm)],[27,1669933,theory(equality)])).
% cnf(1669958,negated_conjecture,(join(complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))),complement(join(complement(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))),complement(esk3_0))))=complement(complement(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))))),inference(spm,[status(thm)],[1637257,1669933,theory(equality)])).
% cnf(1670105,negated_conjecture,(join(esk3_0,join(esk3_0,complement(join(esk3_0,complement(esk3_0)))))=join(esk3_0,complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0)))))),inference(spm,[status(thm)],[109670,1669933,theory(equality)])).
% cnf(1670139,negated_conjecture,(join(esk3_0,join(complement(join(esk3_0,complement(esk3_0))),X1))=join(esk3_0,join(complement(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))),X1))),inference(rw,[status(thm)],[1669934,27,theory(equality)])).
% cnf(1670154,negated_conjecture,(join(complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))),esk3_0)=complement(complement(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1669958,29,theory(equality)]),1643051,theory(equality)]),1637089,theory(equality)])).
% cnf(1670155,negated_conjecture,(join(complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))),esk3_0)=join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))),inference(rw,[status(thm)],[1670154,1637089,theory(equality)])).
% cnf(1678612,negated_conjecture,(join(esk3_0,complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))))=join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))),inference(rw,[status(thm)],[1670155,29,theory(equality)])).
% cnf(1678659,negated_conjecture,(join(X1,join(esk3_0,complement(composition(esk1_0,converse(esk2_0)))))=join(esk3_0,join(X1,complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0)))))))),inference(spm,[status(thm)],[106,1678612,theory(equality)])).
% cnf(1678983,negated_conjecture,(join(join(esk3_0,join(esk3_0,complement(join(esk3_0,complement(esk3_0))))),X1)=join(esk3_0,join(complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0)))),X1))),inference(spm,[status(thm)],[27,1670105,theory(equality)])).
% cnf(1679186,negated_conjecture,(join(esk3_0,join(esk3_0,join(complement(join(esk3_0,complement(esk3_0))),X1)))=join(esk3_0,join(complement(join(complement(esk3_0),composition(esk1_0,converse(esk2_0)))),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1678983,27,theory(equality)]),27,theory(equality)])).
% cnf(1696188,negated_conjecture,(join(esk3_0,complement(esk3_0))=join(esk3_0,join(complement(join(esk3_0,complement(esk3_0))),complement(join(esk3_0,complement(complement(composition(esk1_0,converse(esk2_0))))))))),inference(spm,[status(thm)],[1670139,1637280,theory(equality)])).
% cnf(1696982,negated_conjecture,(join(esk3_0,complement(esk3_0))=join(esk3_0,join(complement(join(esk3_0,complement(esk3_0))),complement(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1696188,1637089,theory(equality)]),36,theory(equality)])).
% cnf(1697060,negated_conjecture,(join(esk3_0,join(complement(esk3_0),complement(join(esk3_0,complement(esk3_0)))))=join(esk3_0,complement(esk3_0))),inference(rw,[status(thm)],[1696982,29,theory(equality)])).
% cnf(1726121,negated_conjecture,(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))=join(esk3_0,join(esk3_0,join(complement(join(esk3_0,complement(esk3_0))),complement(join(composition(esk1_0,converse(esk2_0)),complement(complement(esk3_0)))))))),inference(spm,[status(thm)],[1679186,1637257,theory(equality)])).
% cnf(1726837,negated_conjecture,(join(esk3_0,complement(composition(esk1_0,converse(esk2_0))))=join(esk3_0,join(esk3_0,complement(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1726121,1637089,theory(equality)]),29,theory(equality)]),36,theory(equality)]),29,theory(equality)]),1697060,theory(equality)])).
% cnf(1727130,negated_conjecture,(join(esk3_0,complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))))=join(esk3_0,join(esk3_0,complement(esk3_0)))),inference(rw,[status(thm)],[1678612,1726837,theory(equality)])).
% cnf(1727131,negated_conjecture,(join(complement(esk3_0),complement(join(esk3_0,join(esk3_0,complement(esk3_0)))))=complement(esk3_0)),inference(rw,[status(thm)],[1643051,1726837,theory(equality)])).
% cnf(1727132,negated_conjecture,(join(esk3_0,join(complement(join(esk3_0,join(esk3_0,complement(esk3_0)))),X1))=join(esk3_0,join(complement(join(esk3_0,complement(esk3_0))),X1))),inference(rw,[status(thm)],[1670139,1726837,theory(equality)])).
% cnf(1764599,negated_conjecture,(join(esk3_0,complement(esk3_0))=join(esk3_0,join(complement(join(esk3_0,complement(esk3_0))),complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0)))))))),inference(spm,[status(thm)],[1727132,1637280,theory(equality)])).
% cnf(1765389,negated_conjecture,(join(esk3_0,complement(esk3_0))=join(complement(join(esk3_0,complement(esk3_0))),join(esk3_0,join(esk3_0,complement(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1764599,1678659,theory(equality)]),1726837,theory(equality)])).
% cnf(1766161,plain,(join(X2,complement(join(complement(X1),join(X2,complement(join(X1,X2))))))=join(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1639759,29,theory(equality)]),29,theory(equality)])).
% cnf(1811685,negated_conjecture,(join(esk3_0,join(esk3_0,complement(esk3_0)))=join(esk3_0,complement(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1765389,97,theory(equality)]),29,theory(equality)]),27,theory(equality)]),106,theory(equality)]),1697060,theory(equality)])).
% cnf(1811686,negated_conjecture,(join(join(esk3_0,complement(esk3_0)),X1)=join(esk3_0,join(join(esk3_0,complement(esk3_0)),X1))),inference(spm,[status(thm)],[27,1811685,theory(equality)])).
% cnf(1811889,negated_conjecture,(join(esk3_0,complement(join(esk3_0,complement(join(esk3_0,complement(esk3_0))))))=join(esk3_0,complement(esk3_0))),inference(rw,[status(thm)],[1727130,1811685,theory(equality)])).
% cnf(1811891,negated_conjecture,(join(complement(esk3_0),complement(join(esk3_0,complement(esk3_0))))=complement(esk3_0)),inference(rw,[status(thm)],[1727131,1811685,theory(equality)])).
% cnf(1811897,negated_conjecture,(join(esk3_0,join(complement(esk3_0),X1))=join(esk3_0,join(join(esk3_0,complement(esk3_0)),X1))),inference(rw,[status(thm)],[1811686,27,theory(equality)])).
% cnf(1811898,negated_conjecture,(join(esk3_0,join(complement(esk3_0),X1))=join(esk3_0,join(esk3_0,join(complement(esk3_0),X1)))),inference(rw,[status(thm)],[1811897,27,theory(equality)])).
% cnf(1812577,negated_conjecture,(join(complement(complement(esk3_0)),complement(join(complement(esk3_0),complement(complement(join(esk3_0,complement(esk3_0)))))))=complement(complement(esk3_0))),inference(spm,[status(thm)],[1637280,1811891,theory(equality)])).
% cnf(1812734,negated_conjecture,(join(complement(join(esk3_0,esk3_0)),complement(esk3_0))=join(complement(esk3_0),complement(esk3_0))),inference(spm,[status(thm)],[1637264,1811891,theory(equality)])).
% cnf(1812735,negated_conjecture,(join(complement(esk3_0),complement(join(complement(esk3_0),complement(esk3_0))))=join(esk3_0,complement(esk3_0))),inference(spm,[status(thm)],[1766161,1811891,theory(equality)])).
% cnf(1812819,negated_conjecture,(join(esk3_0,complement(join(esk3_0,join(complement(esk3_0),complement(esk3_0)))))=complement(complement(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1812577,1637089,theory(equality)]),1637089,theory(equality)]),106,theory(equality)])).
% cnf(1812820,negated_conjecture,(join(esk3_0,complement(join(esk3_0,join(complement(esk3_0),complement(esk3_0)))))=esk3_0),inference(rw,[status(thm)],[1812819,1637089,theory(equality)])).
% cnf(1813025,negated_conjecture,(join(complement(esk3_0),complement(join(esk3_0,esk3_0)))=join(complement(esk3_0),complement(esk3_0))),inference(rw,[status(thm)],[1812734,29,theory(equality)])).
% cnf(1816234,negated_conjecture,(join(esk3_0,complement(join(esk3_0,esk3_0)))=join(esk3_0,complement(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1812735,109362,theory(equality)]),1637089,theory(equality)])).
% cnf(1816262,negated_conjecture,(join(complement(join(esk3_0,complement(esk3_0))),complement(join(complement(join(esk3_0,esk3_0)),complement(esk3_0))))=complement(complement(join(esk3_0,esk3_0)))),inference(spm,[status(thm)],[1637257,1816234,theory(equality)])).
% cnf(1816461,negated_conjecture,(esk3_0=complement(complement(join(esk3_0,esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1816262,29,theory(equality)]),1813025,theory(equality)]),1637263,theory(equality)]),1637089,theory(equality)])).
% cnf(1816462,negated_conjecture,(esk3_0=join(esk3_0,esk3_0)),inference(rw,[status(thm)],[1816461,1637089,theory(equality)])).
% cnf(1816593,negated_conjecture,(join(esk3_0,X1)=join(esk3_0,join(esk3_0,X1))),inference(spm,[status(thm)],[27,1816462,theory(equality)])).
% cnf(1817631,negated_conjecture,(join(join(esk3_0,X1),join(esk3_0,X2))=join(X2,join(esk3_0,X1))),inference(spm,[status(thm)],[421,1816593,theory(equality)])).
% cnf(1818416,negated_conjecture,(join(esk3_0,join(X1,join(esk3_0,X2)))=join(X2,join(esk3_0,X1))),inference(rw,[status(thm)],[1817631,27,theory(equality)])).
% cnf(1909801,negated_conjecture,(join(esk3_0,complement(join(complement(complement(join(esk3_0,complement(esk3_0)))),join(esk3_0,complement(esk3_0)))))=join(esk3_0,complement(join(esk3_0,complement(esk3_0))))),inference(spm,[status(thm)],[1637309,1811889,theory(equality)])).
% cnf(1910003,negated_conjecture,(esk3_0=join(esk3_0,complement(join(esk3_0,complement(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1909801,1637089,theory(equality)]),27,theory(equality)]),106,theory(equality)]),1811898,theory(equality)]),1812820,theory(equality)])).
% cnf(1910108,negated_conjecture,(join(X1,esk3_0)=join(esk3_0,join(X1,complement(join(esk3_0,complement(esk3_0)))))),inference(spm,[status(thm)],[106,1910003,theory(equality)])).
% cnf(1996010,negated_conjecture,(join(complement(join(X1,esk3_0)),complement(join(join(X1,complement(join(esk3_0,complement(esk3_0)))),complement(esk3_0))))=complement(join(X1,complement(join(esk3_0,complement(esk3_0)))))),inference(spm,[status(thm)],[1637257,1910108,theory(equality)])).
% cnf(1996394,negated_conjecture,(complement(X1)=complement(join(X1,complement(join(esk3_0,complement(esk3_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1996010,27,theory(equality)]),29,theory(equality)]),1811891,theory(equality)]),1637280,theory(equality)])).
% cnf(1996849,negated_conjecture,(join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1)))))=join(X2,complement(join(esk3_0,complement(esk3_0))))),inference(spm,[status(thm)],[952,1996394,theory(equality)])).
% cnf(1997194,negated_conjecture,(X2=join(X2,complement(join(esk3_0,complement(esk3_0))))),inference(rw,[status(thm)],[1996849,952,theory(equality)])).
% cnf(1997580,negated_conjecture,(join(complement(join(X1,complement(join(esk3_0,complement(esk3_0))))),complement(complement(X1)))=complement(complement(join(esk3_0,complement(esk3_0))))),inference(spm,[status(thm)],[1637263,1997194,theory(equality)])).
% cnf(1997961,negated_conjecture,(X1=join(complement(join(esk3_0,complement(esk3_0))),X1)),inference(spm,[status(thm)],[29,1997194,theory(equality)])).
% cnf(1998786,negated_conjecture,(join(X1,complement(X1))=complement(complement(join(esk3_0,complement(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1997580,1997194,theory(equality)]),1637089,theory(equality)]),29,theory(equality)])).
% cnf(1998787,negated_conjecture,(join(X1,complement(X1))=join(esk3_0,complement(esk3_0))),inference(rw,[status(thm)],[1998786,1637089,theory(equality)])).
% cnf(1999775,negated_conjecture,(join(complement(join(esk3_0,complement(esk3_0))),complement(join(complement(X1),complement(join(X1,complement(join(esk3_0,complement(esk3_0))))))))=join(X1,complement(join(esk3_0,complement(esk3_0))))),inference(spm,[status(thm)],[1659225,1997961,theory(equality)])).
% cnf(2001594,negated_conjecture,(complement(join(complement(X1),complement(X1)))=join(X1,complement(join(esk3_0,complement(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1999775,1997194,theory(equality)]),1997961,theory(equality)])).
% cnf(2001595,negated_conjecture,(complement(join(complement(X1),complement(X1)))=X1),inference(rw,[status(thm)],[2001594,1997194,theory(equality)])).
% cnf(2012266,negated_conjecture,(complement(join(X1,X1))=complement(X1)),inference(spm,[status(thm)],[2001595,1637089,theory(equality)])).
% cnf(2012557,negated_conjecture,(join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1)))))=join(X2,X2)),inference(spm,[status(thm)],[952,2012266,theory(equality)])).
% cnf(2012944,negated_conjecture,(X2=join(X2,X2)),inference(rw,[status(thm)],[2012557,952,theory(equality)])).
% cnf(2013689,negated_conjecture,(join(X1,join(composition(converse(X2),complement(composition(X2,complement(X1)))),X3))=join(join(composition(converse(X2),complement(composition(X2,complement(X1)))),X3),join(X1,X3))),inference(spm,[status(thm)],[99001,2012944,theory(equality)])).
% cnf(2013807,negated_conjecture,(join(X1,X2)=join(X1,join(join(X1,X2),X2))),inference(spm,[status(thm)],[106,2012944,theory(equality)])).
% cnf(2015527,negated_conjecture,(join(X1,X3)=join(join(composition(converse(X2),complement(composition(X2,complement(X1)))),X3),join(X1,X3))),inference(rw,[status(thm)],[2013689,91390,theory(equality)])).
% cnf(2015528,negated_conjecture,(join(X1,X3)=join(X3,join(X1,X3))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2015527,27,theory(equality)]),99434,theory(equality)])).
% cnf(2015744,negated_conjecture,(join(X1,X2)=join(X1,join(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2013807,27,theory(equality)]),2012944,theory(equality)])).
% cnf(2016503,negated_conjecture,(join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))=join(X1,complement(join(complement(X1),X2)))),inference(spm,[status(thm)],[941,2015528,theory(equality)])).
% cnf(2016505,negated_conjecture,(join(complement(join(complement(X1),X2)),complement(join(X1,X2)))=join(complement(X2),complement(join(X1,X2)))),inference(spm,[status(thm)],[1637258,2015528,theory(equality)])).
% cnf(2017911,negated_conjecture,(X1=join(X1,complement(join(complement(X1),X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2016503,29,theory(equality)]),1637280,theory(equality)]),1637089,theory(equality)])).
% cnf(2017913,negated_conjecture,(complement(X2)=join(complement(X2),complement(join(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2016505,29,theory(equality)]),1637263,theory(equality)])).
% cnf(2019539,negated_conjecture,(join(complement(join(X1,complement(X2))),complement(join(complement(X1),complement(X2))))=join(complement(join(X1,complement(X2))),X2)),inference(spm,[status(thm)],[7284,2015744,theory(equality)])).
% cnf(2021024,negated_conjecture,(X2=join(complement(join(X1,complement(X2))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2019539,1637263,theory(equality)]),1637089,theory(equality)])).
% cnf(2021025,negated_conjecture,(X2=join(X2,complement(join(X1,complement(X2))))),inference(rw,[status(thm)],[2021024,29,theory(equality)])).
% cnf(2026079,negated_conjecture,(complement(join(esk3_0,complement(esk3_0)))=complement(join(complement(complement(join(esk3_0,complement(esk3_0)))),X1))),inference(spm,[status(thm)],[1997961,2017911,theory(equality)])).
% cnf(2026872,negated_conjecture,(complement(join(esk3_0,complement(esk3_0)))=complement(join(esk3_0,join(complement(esk3_0),X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2026079,1637089,theory(equality)]),27,theory(equality)])).
% cnf(2027713,negated_conjecture,(complement(complement(join(esk3_0,complement(esk3_0))))=join(esk3_0,join(complement(esk3_0),X1))),inference(spm,[status(thm)],[1637089,2026872,theory(equality)])).
% cnf(2028093,negated_conjecture,(join(esk3_0,complement(esk3_0))=join(esk3_0,join(complement(esk3_0),X1))),inference(rw,[status(thm)],[2027713,1637089,theory(equality)])).
% cnf(2028196,negated_conjecture,(join(esk3_0,join(join(complement(esk3_0),X1),X2))=join(X2,join(esk3_0,complement(esk3_0)))),inference(spm,[status(thm)],[97,2028093,theory(equality)])).
% cnf(2028306,negated_conjecture,(converse(join(esk3_0,complement(esk3_0)))=join(converse(join(esk3_0,join(complement(esk3_0),X1))),X2)),inference(spm,[status(thm)],[366,2028093,theory(equality)])).
% cnf(2028551,negated_conjecture,(join(esk3_0,complement(esk3_0))=join(X2,join(esk3_0,complement(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2028196,27,theory(equality)]),2028093,theory(equality)])).
% cnf(2028632,negated_conjecture,(converse(join(esk3_0,complement(esk3_0)))=join(converse(join(esk3_0,complement(esk3_0))),X2)),inference(rw,[status(thm)],[2028306,2028093,theory(equality)])).
% cnf(2032051,negated_conjecture,(join(complement(join(X1,X2)),X1)=join(X1,complement(X2))),inference(spm,[status(thm)],[1637264,2021025,theory(equality)])).
% cnf(2032616,negated_conjecture,(join(X1,complement(join(X1,X2)))=join(X1,complement(X2))),inference(rw,[status(thm)],[2032051,29,theory(equality)])).
% cnf(2036572,negated_conjecture,(join(X1,complement(join(X2,complement(X2))))=X1),inference(spm,[status(thm)],[1997194,1998787,theory(equality)])).
% cnf(2036573,negated_conjecture,(join(complement(join(X2,complement(X2))),X1)=X1),inference(spm,[status(thm)],[1997961,1998787,theory(equality)])).
% cnf(2045825,negated_conjecture,(join(complement(composition(esk2_0,converse(esk1_0))),complement(converse(esk3_0)))=complement(composition(esk2_0,converse(esk1_0)))),inference(spm,[status(thm)],[2017913,1190,theory(equality)])).
% cnf(2046391,negated_conjecture,(join(complement(converse(esk3_0)),complement(composition(esk2_0,converse(esk1_0))))=complement(composition(esk2_0,converse(esk1_0)))),inference(rw,[status(thm)],[2045825,29,theory(equality)])).
% cnf(2049256,negated_conjecture,(join(complement(X1),complement(complement(X1)))=join(complement(X1),complement(complement(join(X2,X1))))),inference(spm,[status(thm)],[2032616,2017913,theory(equality)])).
% cnf(2049685,negated_conjecture,(join(X1,complement(X1))=join(X1,complement(complement(join(X2,complement(X1)))))),inference(spm,[status(thm)],[2032616,2021025,theory(equality)])).
% cnf(2049750,negated_conjecture,(join(X1,complement(join(X2,X1)))=join(X1,complement(X2))),inference(spm,[status(thm)],[2032616,29,theory(equality)])).
% cnf(2050353,negated_conjecture,(join(X1,complement(X1))=join(complement(X1),complement(complement(join(X2,X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2049256,1637089,theory(equality)]),29,theory(equality)])).
% cnf(2050354,negated_conjecture,(join(X1,complement(X1))=join(X1,join(complement(X1),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2050353,1637089,theory(equality)]),97,theory(equality)])).
% cnf(2050480,negated_conjecture,(join(X1,complement(X1))=join(X1,join(X2,complement(X1)))),inference(rw,[status(thm)],[2049685,1637089,theory(equality)])).
% cnf(2052207,negated_conjecture,(converse(join(esk3_0,complement(esk3_0)))=join(esk3_0,complement(esk3_0))),inference(spm,[status(thm)],[2028551,2028632,theory(equality)])).
% cnf(2054998,negated_conjecture,(converse(join(X1,complement(X1)))=join(X1,complement(X1))),inference(spm,[status(thm)],[2052207,1998787,theory(equality)])).
% cnf(2058558,negated_conjecture,(join(converse(X1),complement(converse(X1)))=join(X1,converse(complement(converse(X1))))),inference(spm,[status(thm)],[42,2054998,theory(equality)])).
% cnf(2064993,negated_conjecture,(join(complement(join(X1,converse(complement(converse(X1))))),X2)=X2),inference(spm,[status(thm)],[2036573,2058558,theory(equality)])).
% cnf(2068711,negated_conjecture,(join(composition(esk2_0,converse(esk1_0)),join(X1,join(converse(esk3_0),complement(converse(esk3_0)))))=join(join(X2,complement(converse(esk3_0))),join(converse(esk3_0),X1))),inference(spm,[status(thm)],[1933,2050480,theory(equality)])).
% cnf(2069399,negated_conjecture,(join(esk3_0,converse(complement(converse(esk3_0))))=join(join(X2,complement(converse(esk3_0))),join(converse(esk3_0),X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2068711,1933,theory(equality)]),106,theory(equality)]),2050354,theory(equality)]),2058558,theory(equality)])).
% cnf(2069400,negated_conjecture,(join(esk3_0,converse(complement(converse(esk3_0))))=join(X2,join(esk3_0,converse(complement(converse(esk3_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2069399,27,theory(equality)]),106,theory(equality)]),2050354,theory(equality)]),2058558,theory(equality)])).
% cnf(2076249,negated_conjecture,(join(complement(converse(esk1_0)),composition(converse(esk2_0),complement(composition(esk2_0,converse(esk1_0)))))=join(composition(converse(esk2_0),complement(converse(esk3_0))),complement(converse(esk1_0)))),inference(spm,[status(thm)],[17410,2046391,theory(equality)])).
% cnf(2076443,negated_conjecture,(complement(converse(esk1_0))=join(composition(converse(esk2_0),complement(converse(esk3_0))),complement(converse(esk1_0)))),inference(rw,[status(thm)],[2076249,626,theory(equality)])).
% cnf(2086213,negated_conjecture,(join(esk3_0,join(X1,join(esk3_0,converse(complement(converse(esk3_0))))))=join(esk3_0,join(X1,join(composition(esk1_0,X2),join(esk3_0,converse(complement(converse(esk3_0)))))))),inference(spm,[status(thm)],[3341,2069400,theory(equality)])).
% cnf(2086718,negated_conjecture,(join(esk3_0,join(converse(complement(converse(esk3_0))),X1))=join(esk3_0,join(X1,join(composition(esk1_0,X2),join(esk3_0,converse(complement(converse(esk3_0)))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2086213,1818416,theory(equality)]),106,theory(equality)])).
% cnf(2086719,negated_conjecture,(join(esk3_0,join(converse(complement(converse(esk3_0))),X1))=join(esk3_0,converse(complement(converse(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2086718,2069400,theory(equality)]),2069400,theory(equality)]),2015744,theory(equality)])).
% cnf(2090957,negated_conjecture,(join(esk3_0,converse(complement(converse(esk3_0))))=join(esk3_0,complement(esk3_0))),inference(spm,[status(thm)],[2050480,2086719,theory(equality)])).
% cnf(2091595,negated_conjecture,(join(converse(complement(converse(esk3_0))),complement(join(esk3_0,complement(esk3_0))))=join(converse(complement(converse(esk3_0))),complement(esk3_0))),inference(spm,[status(thm)],[2049750,2090957,theory(equality)])).
% cnf(2091832,negated_conjecture,(converse(complement(converse(esk3_0)))=join(converse(complement(converse(esk3_0))),complement(esk3_0))),inference(rw,[status(thm)],[2091595,2036572,theory(equality)])).
% cnf(2092344,negated_conjecture,(join(complement(esk3_0),converse(complement(converse(esk3_0))))=converse(complement(converse(esk3_0)))),inference(rw,[status(thm)],[2091832,29,theory(equality)])).
% cnf(2092449,negated_conjecture,(converse(converse(complement(converse(esk3_0))))=join(converse(complement(esk3_0)),complement(converse(esk3_0)))),inference(spm,[status(thm)],[41,2092344,theory(equality)])).
% cnf(2092680,negated_conjecture,(complement(converse(esk3_0))=join(converse(complement(esk3_0)),complement(converse(esk3_0)))),inference(rw,[status(thm)],[2092449,19,theory(equality)])).
% cnf(2094383,negated_conjecture,(join(complement(converse(esk3_0)),converse(complement(esk3_0)))=complement(converse(esk3_0))),inference(rw,[status(thm)],[2092680,29,theory(equality)])).
% cnf(2094401,negated_conjecture,(join(complement(complement(converse(esk3_0))),complement(join(converse(complement(esk3_0)),complement(complement(converse(esk3_0))))))=complement(converse(complement(esk3_0)))),inference(spm,[status(thm)],[1637257,2094383,theory(equality)])).
% cnf(2094637,negated_conjecture,(converse(esk3_0)=complement(converse(complement(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2094401,1637089,theory(equality)]),1637089,theory(equality)]),17,theory(equality)]),29,theory(equality)]),2054998,theory(equality)]),1997194,theory(equality)])).
% cnf(2095026,negated_conjecture,(complement(converse(esk3_0))=converse(complement(esk3_0))),inference(spm,[status(thm)],[1637089,2094637,theory(equality)])).
% cnf(2095423,negated_conjecture,(composition(converse(X1),complement(converse(esk3_0)))=converse(composition(complement(esk3_0),X1))),inference(spm,[status(thm)],[15,2095026,theory(equality)])).
% cnf(2164945,negated_conjecture,(complement(join(X1,complement(converse(complement(converse(X1))))))=complement(X1)),inference(spm,[status(thm)],[1637280,2064993,theory(equality)])).
% cnf(2168429,negated_conjecture,(join(complement(join(X1,join(complement(X2),X3))),complement(join(complement(X2),complement(join(X3,X1)))))=join(X2,complement(converse(complement(converse(X2)))))),inference(spm,[status(thm)],[952,2164945,theory(equality)])).
% cnf(2168825,negated_conjecture,(X2=join(X2,complement(converse(complement(converse(X2)))))),inference(rw,[status(thm)],[2168429,952,theory(equality)])).
% cnf(2169411,negated_conjecture,(converse(converse(X1))=join(X1,converse(complement(converse(complement(converse(converse(X1)))))))),inference(spm,[status(thm)],[42,2168825,theory(equality)])).
% cnf(2170243,negated_conjecture,(X1=join(X1,converse(complement(converse(complement(converse(converse(X1)))))))),inference(rw,[status(thm)],[2169411,19,theory(equality)])).
% cnf(2170244,negated_conjecture,(X1=join(X1,converse(complement(converse(complement(X1)))))),inference(rw,[status(thm)],[2170243,19,theory(equality)])).
% cnf(2170694,negated_conjecture,(join(complement(join(X1,converse(complement(converse(complement(complement(X1))))))),complement(complement(X1)))=complement(converse(complement(converse(complement(complement(X1))))))),inference(spm,[status(thm)],[1637263,2170244,theory(equality)])).
% cnf(2171449,negated_conjecture,(X1=complement(converse(complement(converse(complement(complement(X1))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2170694,1637089,theory(equality)]),1637089,theory(equality)]),2064993,theory(equality)])).
% cnf(2171450,negated_conjecture,(X1=complement(converse(complement(converse(X1))))),inference(rw,[status(thm)],[2171449,1637089,theory(equality)])).
% cnf(2172205,negated_conjecture,(complement(X1)=converse(complement(converse(X1)))),inference(spm,[status(thm)],[1637089,2171450,theory(equality)])).
% cnf(2172459,negated_conjecture,(converse(complement(X1))=complement(converse(X1))),inference(spm,[status(thm)],[19,2172205,theory(equality)])).
% cnf(2173820,negated_conjecture,(join(converse(X1),complement(converse(X2)))=converse(join(X1,complement(X2)))),inference(spm,[status(thm)],[17,2172459,theory(equality)])).
% cnf(2226891,negated_conjecture,(converse(join(complement(esk1_0),composition(complement(esk3_0),esk2_0)))=complement(converse(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2076443,2095423,theory(equality)]),2173820,theory(equality)]),29,theory(equality)])).
% cnf(2226892,negated_conjecture,(converse(complement(converse(esk1_0)))=join(complement(esk1_0),composition(complement(esk3_0),esk2_0))),inference(spm,[status(thm)],[19,2226891,theory(equality)])).
% cnf(2227826,negated_conjecture,(complement(esk1_0)=join(complement(esk1_0),composition(complement(esk3_0),esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2226892,2172459,theory(equality)]),19,theory(equality)])).
% cnf(2227827,negated_conjecture,($false),inference(sr,[status(thm)],[2227826,35,theory(equality)])).
% cnf(2227828,negated_conjecture,($false),2227827,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 19368
% # ...of these trivial                : 11627
% # ...subsumed                        : 5906
% # ...remaining for further processing: 1835
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 1
% # Backward-rewritten                 : 980
% # Generated clauses                  : 1105764
% # ...of the previous two non-trivial : 942693
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 1105764
% # Factorizations                     : 0
% # Equation resolutions               : 0
% # Current number of processed clauses: 854
% #    Positive orientable unit clauses: 833
% #    Positive unorientable unit clauses: 20
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 0
% # Current number of unprocessed clauses: 272167
% # ...number of literals in the above : 272167
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 14369
% # Rewrite failures with RHS unbound  : 32
% # Indexed BW rewrite attempts        : 37106
% # Indexed BW rewrite successes       : 1196
% # Backwards rewriting index:   743 leaves,   4.80+/-6.941 terms/leaf
% # Paramod-from index:          258 leaves,   3.37+/-3.946 terms/leaf
% # Paramod-into index:          638 leaves,   4.11+/-5.415 terms/leaf
% # -------------------------------------------------
% # User time              : 70.073 s
% # System time            : 2.764 s
% # Total time             : 72.837 s
% # Maximum resident set size: 0 pages
% PrfWatch: 125.39 CPU 128.60 WC
% FINAL PrfWatch: 125.39 CPU 128.60 WC
% SZS output end Solution for /tmp/SystemOnTPTP13448/REL043+1.tptp
% 
%------------------------------------------------------------------------------