%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE102+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 : 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 : Wed Dec 29 07:56:40 EST 2010

% Result   : Theorem 128.18s
% Output   : Solution 142.28s
% 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/SystemOnTPTP17599/KLE102+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 ... multiplicative_associativity:
%  CSA axiom multiplicative_associativity found
% Looking for CSA axiom ... right_annihilation:
%  CSA axiom right_annihilation found
% Looking for CSA axiom ... left_annihilation:
%  CSA axiom left_annihilation found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... forward_diamond: CSA axiom forward_diamond found
% Looking for CSA axiom ... domain1:
%  CSA axiom domain1 found
% Looking for CSA axiom ... codomain1:
%  CSA axiom codomain1 found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... backward_diamond:
%  CSA axiom backward_diamond found
% Looking for CSA axiom ... additive_identity:
%  CSA axiom additive_identity found
% Looking for CSA axiom ... domain4:
%  CSA axiom domain4 found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... additive_commutativity:
%  CSA axiom additive_commutativity found
% Looking for CSA axiom ... additive_associativity:
%  CSA axiom additive_associativity found
% Looking for CSA axiom ... additive_idempotence:
%  CSA axiom additive_idempotence found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ... not found
% Looking for CSA axiom ... right_distributivity:
%  CSA axiom right_distributivity found
% Looking for CSA axiom ... left_distributivity:
%  CSA axiom left_distributivity found
% Looking for CSA axiom ... domain_difference:
%  CSA axiom domain_difference found
% ---- Iteration 6 (15 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... multiplicative_right_identity:
%  CSA axiom multiplicative_right_identity found
% Looking for CSA axiom ... multiplicative_left_identity:
%  CSA axiom multiplicative_left_identity found
% Looking for CSA axiom ... codomain2:
%  CSA axiom codomain2 found
% ---- Iteration 7 (18 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... domain2:
%  CSA axiom domain2 found
% Looking for CSA axiom ... forward_box:
%  CSA axiom forward_box found
% Looking for CSA axiom ... backward_box:
%  CSA axiom backward_box found
% ---- Iteration 8 (21 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ...
%  not found
% Looking for CSA axiom ... complement:
%  CSA axiom complement found
% Looking for CSA axiom ... codomain4:
%  CSA axiom codomain4 found
% Looking for CSA axiom ... codomain3:
%  CSA axiom codomain3 found
% ---- Iteration 9 (24 axioms selected)
% Looking for TBU SAT   ... 
% yes
% Looking for TBU model ... not found
% Looking for CSA axiom ... domain3:
%  CSA axiom domain3 found
% Looking for CSA axiom ... order:
%  CSA axiom order found
% ---- Selection completed
% Looking for TBU SAT   ... 
% no
% Looking for TBU UNS   ... 
% yes - theorem proved
% Selected axioms are   ... :order:domain3:codomain3:codomain4:complement:backward_box:forward_box:domain2:codomain2:multiplicative_left_identity:multiplicative_right_identity:domain_difference:left_distributivity:right_distributivity:additive_idempotence:additive_associativity:additive_commutativity:domain4:additive_identity:backward_diamond:codomain1:domain1:forward_diamond:left_annihilation:right_annihilation:multiplicative_associativity (26)
% Unselected axioms are ...  (0)
% SZS status THM for /tmp/SystemOnTPTP17599/KLE102+1.tptp
% Looking for THM       ... 
% found
% SZS output start Solution for /tmp/SystemOnTPTP17599/KLE102+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 21803
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.02 WC
% PrfWatch: 5.91 CPU 6.03 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.89 CPU 8.03 WC
% PrfWatch: 9.89 CPU 10.04 WC
% PrfWatch: 11.88 CPU 12.04 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X3]:addition(antidomain(antidomain(X3)),antidomain(X3))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(3, axiom,![X3]:addition(coantidomain(coantidomain(X3)),coantidomain(X3))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(4, axiom,![X3]:codomain(X3)=coantidomain(coantidomain(X3)),file('/tmp/SRASS.s.p', codomain4)).
% fof(8, axiom,![X3]:![X4]:addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4)))))=antidomain(multiplication(X3,antidomain(antidomain(X4)))),file('/tmp/SRASS.s.p', domain2)).
% fof(9, axiom,![X3]:![X4]:addition(coantidomain(multiplication(X3,X4)),coantidomain(multiplication(coantidomain(coantidomain(X3)),X4)))=coantidomain(multiplication(coantidomain(coantidomain(X3)),X4)),file('/tmp/SRASS.s.p', codomain2)).
% fof(10, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(11, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(13, axiom,![X1]:![X2]:![X5]:multiplication(addition(X1,X2),X5)=addition(multiplication(X1,X5),multiplication(X2,X5)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(14, axiom,![X1]:![X2]:![X5]:multiplication(X1,addition(X2,X5))=addition(multiplication(X1,X2),multiplication(X1,X5)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(15, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(16, axiom,![X5]:![X2]:![X1]:addition(X1,addition(X2,X5))=addition(addition(X1,X2),X5),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(17, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(18, axiom,![X3]:domain(X3)=antidomain(antidomain(X3)),file('/tmp/SRASS.s.p', domain4)).
% fof(19, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(20, axiom,![X3]:![X4]:backward_diamond(X3,X4)=codomain(multiplication(codomain(X4),X3)),file('/tmp/SRASS.s.p', backward_diamond)).
% fof(21, axiom,![X3]:multiplication(X3,coantidomain(X3))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(22, axiom,![X3]:multiplication(antidomain(X3),X3)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(23, axiom,![X3]:![X4]:forward_diamond(X3,X4)=domain(multiplication(X3,domain(X4))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(24, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(25, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(26, axiom,![X1]:![X2]:![X5]:multiplication(X1,multiplication(X2,X5))=multiplication(multiplication(X1,X2),X5),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(27, conjecture,![X3]:![X4]:![X6]:(multiplication(forward_diamond(X3,domain(X4)),domain(X6))=zero<=multiplication(domain(X4),backward_diamond(X3,domain(X6)))=zero),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X3]:![X4]:![X6]:(multiplication(forward_diamond(X3,domain(X4)),domain(X6))=zero<=multiplication(domain(X4),backward_diamond(X3,domain(X6)))=zero)),inference(assume_negation,[status(cth)],[27])).
% fof(29, negated_conjecture,~(![X3]:![X4]:![X6]:(multiplication(domain(X4),backward_diamond(X3,domain(X6)))=zero=>multiplication(forward_diamond(X3,domain(X4)),domain(X6))=zero)),inference(fof_simplification,[status(thm)],[28,theory(equality)])).
% fof(34, plain,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,inference(variable_rename,[status(thm)],[2])).
% cnf(35,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,inference(variable_rename,[status(thm)],[3])).
% cnf(37,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X4]:codomain(X4)=coantidomain(coantidomain(X4)),inference(variable_rename,[status(thm)],[4])).
% cnf(39,plain,(codomain(X1)=coantidomain(coantidomain(X1))),inference(split_conjunct,[status(thm)],[38])).
% fof(46, plain,![X5]:![X6]:addition(antidomain(multiplication(X5,X6)),antidomain(multiplication(X5,antidomain(antidomain(X6)))))=antidomain(multiplication(X5,antidomain(antidomain(X6)))),inference(variable_rename,[status(thm)],[8])).
% cnf(47,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X5]:![X6]:addition(coantidomain(multiplication(X5,X6)),coantidomain(multiplication(coantidomain(coantidomain(X5)),X6)))=coantidomain(multiplication(coantidomain(coantidomain(X5)),X6)),inference(variable_rename,[status(thm)],[9])).
% cnf(49,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[48])).
% fof(50, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[10])).
% cnf(51,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[50])).
% fof(52, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[11])).
% cnf(53,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[52])).
% fof(56, plain,![X6]:![X7]:![X8]:multiplication(addition(X6,X7),X8)=addition(multiplication(X6,X8),multiplication(X7,X8)),inference(variable_rename,[status(thm)],[13])).
% cnf(57,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[56])).
% fof(58, plain,![X6]:![X7]:![X8]:multiplication(X6,addition(X7,X8))=addition(multiplication(X6,X7),multiplication(X6,X8)),inference(variable_rename,[status(thm)],[14])).
% cnf(59,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[58])).
% fof(60, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[15])).
% cnf(61,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[60])).
% fof(62, plain,![X6]:![X7]:![X8]:addition(X8,addition(X7,X6))=addition(addition(X8,X7),X6),inference(variable_rename,[status(thm)],[16])).
% cnf(63,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[62])).
% fof(64, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[17])).
% cnf(65,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[64])).
% fof(66, plain,![X4]:domain(X4)=antidomain(antidomain(X4)),inference(variable_rename,[status(thm)],[18])).
% cnf(67,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[66])).
% fof(68, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[19])).
% cnf(69,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[68])).
% fof(70, plain,![X5]:![X6]:backward_diamond(X5,X6)=codomain(multiplication(codomain(X6),X5)),inference(variable_rename,[status(thm)],[20])).
% cnf(71,plain,(backward_diamond(X1,X2)=codomain(multiplication(codomain(X2),X1))),inference(split_conjunct,[status(thm)],[70])).
% fof(72, plain,![X4]:multiplication(X4,coantidomain(X4))=zero,inference(variable_rename,[status(thm)],[21])).
% cnf(73,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[72])).
% fof(74, plain,![X4]:multiplication(antidomain(X4),X4)=zero,inference(variable_rename,[status(thm)],[22])).
% cnf(75,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[74])).
% fof(76, plain,![X5]:![X6]:forward_diamond(X5,X6)=domain(multiplication(X5,domain(X6))),inference(variable_rename,[status(thm)],[23])).
% cnf(77,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[76])).
% fof(78, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[24])).
% cnf(79,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[78])).
% fof(80, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[25])).
% cnf(81,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[80])).
% fof(82, plain,![X6]:![X7]:![X8]:multiplication(X6,multiplication(X7,X8))=multiplication(multiplication(X6,X7),X8),inference(variable_rename,[status(thm)],[26])).
% cnf(83,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[82])).
% fof(84, negated_conjecture,?[X3]:?[X4]:?[X6]:(multiplication(domain(X4),backward_diamond(X3,domain(X6)))=zero&~(multiplication(forward_diamond(X3,domain(X4)),domain(X6))=zero)),inference(fof_nnf,[status(thm)],[29])).
% fof(85, negated_conjecture,?[X7]:?[X8]:?[X9]:(multiplication(domain(X8),backward_diamond(X7,domain(X9)))=zero&~(multiplication(forward_diamond(X7,domain(X8)),domain(X9))=zero)),inference(variable_rename,[status(thm)],[84])).
% fof(86, negated_conjecture,(multiplication(domain(esk2_0),backward_diamond(esk1_0,domain(esk3_0)))=zero&~(multiplication(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))=zero)),inference(skolemize,[status(esa)],[85])).
% cnf(87,negated_conjecture,(multiplication(forward_diamond(esk1_0,domain(esk2_0)),domain(esk3_0))!=zero),inference(split_conjunct,[status(thm)],[86])).
% cnf(88,negated_conjecture,(multiplication(domain(esk2_0),backward_diamond(esk1_0,domain(esk3_0)))=zero),inference(split_conjunct,[status(thm)],[86])).
% cnf(90,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[77,67,theory(equality)]),67,theory(equality)]),['unfolding']).
% cnf(92,negated_conjecture,(multiplication(antidomain(antidomain(esk2_0)),backward_diamond(esk1_0,antidomain(antidomain(esk3_0))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[88,67,theory(equality)]),67,theory(equality)]),['unfolding']).
% cnf(93,negated_conjecture,(multiplication(forward_diamond(esk1_0,antidomain(antidomain(esk2_0))),antidomain(antidomain(esk3_0)))!=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[87,67,theory(equality)]),67,theory(equality)]),['unfolding']).
% cnf(96,plain,(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1)))=backward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[71,39,theory(equality)]),39,theory(equality)]),['unfolding']).
% cnf(97,negated_conjecture,(multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(esk3_0)))!=zero),inference(rw,[status(thm)],[93,90,theory(equality)]),['unfolding']).
% cnf(98,negated_conjecture,(multiplication(antidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))))=zero),inference(rw,[status(thm)],[92,96,theory(equality)]),['unfolding']).
% cnf(100,plain,(multiplication(X1,multiplication(X2,coantidomain(X2)))=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[81,73,theory(equality)])).
% cnf(101,plain,(multiplication(multiplication(X2,coantidomain(X2)),X1)=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[79,73,theory(equality)])).
% cnf(102,plain,(addition(X1,multiplication(X2,coantidomain(X2)))=X1),inference(spm,[status(thm)],[69,73,theory(equality)])).
% cnf(103,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[51,73,theory(equality)])).
% cnf(109,plain,(multiplication(multiplication(antidomain(X2),X2),X1)=multiplication(antidomain(X2),X2)),inference(spm,[status(thm)],[79,75,theory(equality)])).
% cnf(111,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[53,75,theory(equality)])).
% cnf(137,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[63,61,theory(equality)])).
% cnf(205,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[69,65,theory(equality)])).
% cnf(210,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[137,65,theory(equality)])).
% cnf(235,plain,(addition(multiplication(X2,coantidomain(X2)),X1)=X1),inference(spm,[status(thm)],[205,73,theory(equality)])).
% cnf(282,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[35,65,theory(equality)])).
% cnf(293,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[282,111,theory(equality)])).
% cnf(295,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[293,205,theory(equality)])).
% cnf(297,plain,(antidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[111,295,theory(equality)])).
% cnf(298,plain,(coantidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[103,295,theory(equality)])).
% cnf(299,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[282,295,theory(equality)])).
% cnf(300,plain,(multiplication(X1,antidomain(zero))=X1),inference(rw,[status(thm)],[53,295,theory(equality)])).
% cnf(301,plain,(multiplication(antidomain(zero),X1)=X1),inference(rw,[status(thm)],[51,295,theory(equality)])).
% cnf(398,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[37,65,theory(equality)])).
% cnf(399,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[398,295,theory(equality)])).
% cnf(418,plain,(addition(zero,coantidomain(zero))=antidomain(zero)),inference(spm,[status(thm)],[399,298,theory(equality)])).
% cnf(422,plain,(coantidomain(zero)=antidomain(zero)),inference(rw,[status(thm)],[418,205,theory(equality)])).
% cnf(426,plain,(antidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(X1,coantidomain(X1)))),inference(spm,[status(thm)],[422,73,theory(equality)])).
% cnf(429,plain,(antidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[297,422,theory(equality)])).
% cnf(431,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[399,422,theory(equality)])).
% cnf(432,plain,(multiplication(X1,coantidomain(zero))=X1),inference(rw,[status(thm)],[300,422,theory(equality)])).
% cnf(433,plain,(multiplication(coantidomain(zero),X1)=X1),inference(rw,[status(thm)],[301,422,theory(equality)])).
% cnf(438,plain,(antidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[429,73,theory(equality)])).
% cnf(457,plain,(multiplication(X1,coantidomain(multiplication(X2,coantidomain(X2))))=X1),inference(spm,[status(thm)],[432,73,theory(equality)])).
% cnf(970,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2))))=zero),inference(spm,[status(thm)],[73,57,theory(equality)])).
% cnf(1021,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[299,422,theory(equality)])).
% cnf(1032,plain,(multiplication(addition(antidomain(X2),antidomain(antidomain(X2))),X1)=X1),inference(spm,[status(thm)],[433,1021,theory(equality)])).
% cnf(1033,plain,(multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2))))=X1),inference(spm,[status(thm)],[432,1021,theory(equality)])).
% cnf(1040,plain,(addition(antidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[137,1021,theory(equality)])).
% cnf(1081,plain,(addition(multiplication(antidomain(X2),X1),multiplication(antidomain(antidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1032,57,theory(equality)])).
% cnf(1082,plain,(addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2))))=X1),inference(rw,[status(thm)],[1033,59,theory(equality)])).
% cnf(1131,plain,(coantidomain(zero)=addition(coantidomain(zero),antidomain(X1))),inference(spm,[status(thm)],[65,1040,theory(equality)])).
% cnf(1134,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[57,1040,theory(equality)])).
% cnf(1144,plain,(multiplication(X1,coantidomain(zero))=addition(multiplication(X1,antidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(spm,[status(thm)],[59,1040,theory(equality)])).
% cnf(1158,plain,(X2=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1134,433,theory(equality)])).
% cnf(1159,plain,(X2=addition(multiplication(antidomain(X1),X2),X2)),inference(rw,[status(thm)],[1158,433,theory(equality)])).
% cnf(1164,plain,(X1=addition(multiplication(X1,antidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(rw,[status(thm)],[1144,432,theory(equality)])).
% cnf(1165,plain,(X1=addition(multiplication(X1,antidomain(X2)),X1)),inference(rw,[status(thm)],[1164,432,theory(equality)])).
% cnf(1209,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),antidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1131,73,theory(equality)])).
% cnf(1270,plain,(addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[47,73,theory(equality)])).
% cnf(1314,plain,(coantidomain(zero)=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1270,422,theory(equality)]),1131,theory(equality)])).
% cnf(1356,plain,(multiplication(X2,multiplication(coantidomain(X2),X1))=multiplication(X2,coantidomain(X2))),inference(rw,[status(thm)],[101,83,theory(equality)])).
% cnf(1363,plain,(addition(antidomain(multiplication(X1,coantidomain(X1))),antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(spm,[status(thm)],[47,1356,theory(equality)])).
% cnf(1365,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[100,1356,theory(equality)])).
% cnf(1384,plain,(addition(coantidomain(multiplication(X1,coantidomain(X1))),antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(rw,[status(thm)],[1363,426,theory(equality)])).
% cnf(1517,plain,(multiplication(antidomain(X2),multiplication(X2,X1))=multiplication(antidomain(X2),X2)),inference(rw,[status(thm)],[109,83,theory(equality)])).
% cnf(1522,plain,(multiplication(antidomain(X1),X1)=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[100,1517,theory(equality)])).
% cnf(1573,plain,(multiplication(addition(X1,X2),coantidomain(addition(X1,X2)))=addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2))),inference(spm,[status(thm)],[59,1522,theory(equality)])).
% cnf(1591,plain,(multiplication(antidomain(X1),multiplication(X1,X2))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[1517,1522,theory(equality)])).
% cnf(1599,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2))))=addition(multiplication(antidomain(addition(X1,X2)),X1),multiplication(antidomain(addition(X1,X2)),X2))),inference(rw,[status(thm)],[1573,57,theory(equality)])).
% cnf(1718,plain,(multiplication(addition(coantidomain(X2),coantidomain(coantidomain(X2))),X1)=X1),inference(spm,[status(thm)],[433,431,theory(equality)])).
% cnf(1719,plain,(multiplication(X1,addition(coantidomain(X2),coantidomain(coantidomain(X2))))=X1),inference(spm,[status(thm)],[432,431,theory(equality)])).
% cnf(1731,plain,(addition(coantidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[137,431,theory(equality)])).
% cnf(1773,plain,(addition(multiplication(coantidomain(X2),X1),multiplication(coantidomain(coantidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1718,57,theory(equality)])).
% cnf(1774,plain,(addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2))))=X1),inference(rw,[status(thm)],[1719,59,theory(equality)])).
% cnf(1825,plain,(coantidomain(zero)=addition(coantidomain(zero),coantidomain(X1))),inference(spm,[status(thm)],[65,1731,theory(equality)])).
% cnf(1828,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[57,1731,theory(equality)])).
% cnf(1851,plain,(X2=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1828,433,theory(equality)])).
% cnf(1852,plain,(X2=addition(multiplication(coantidomain(X1),X2),X2)),inference(rw,[status(thm)],[1851,433,theory(equality)])).
% cnf(1887,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),coantidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1825,73,theory(equality)])).
% cnf(2106,plain,(addition(X2,multiplication(antidomain(X1),X2))=X2),inference(rw,[status(thm)],[1159,65,theory(equality)])).
% cnf(2299,plain,(addition(X1,multiplication(X1,antidomain(X2)))=X1),inference(rw,[status(thm)],[1165,65,theory(equality)])).
% cnf(2863,plain,(addition(X2,multiplication(coantidomain(X1),X2))=X2),inference(rw,[status(thm)],[1852,65,theory(equality)])).
% cnf(9857,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)))),inference(spm,[status(thm)],[49,1887,theory(equality)])).
% cnf(9963,plain,(antidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(multiplication(X1,coantidomain(X1))))))=multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(multiplication(X1,coantidomain(X1))))),inference(spm,[status(thm)],[438,9857,theory(equality)])).
% cnf(10051,plain,(multiplication(X1,coantidomain(X1))=multiplication(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)),coantidomain(multiplication(X1,coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[9963,83,theory(equality)]),457,theory(equality)]),9857,theory(equality)]),438,theory(equality)])).
% cnf(10052,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10051,83,theory(equality)]),457,theory(equality)])).
% cnf(10157,plain,(addition(antidomain(multiplication(X1,coantidomain(X1))),antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[47,10052,theory(equality)])).
% cnf(10191,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=antidomain(multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[10157,426,theory(equality)]),1209,theory(equality)])).
% cnf(30135,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),zero)=zero),inference(spm,[status(thm)],[137,970,theory(equality)])).
% cnf(30145,plain,(addition(multiplication(X1,coantidomain(addition(X2,X1))),zero)=zero),inference(spm,[status(thm)],[210,970,theory(equality)])).
% cnf(30377,plain,(multiplication(X1,coantidomain(addition(X1,X2)))=zero),inference(rw,[status(thm)],[30135,69,theory(equality)])).
% cnf(30384,plain,(multiplication(X1,coantidomain(addition(X2,X1)))=zero),inference(rw,[status(thm)],[30145,69,theory(equality)])).
% cnf(42993,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(X1,X2)))=multiplication(X1,X2)),inference(spm,[status(thm)],[1081,1591,theory(equality)])).
% cnf(42995,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),X1))=X1),inference(spm,[status(thm)],[1081,1522,theory(equality)])).
% cnf(43121,plain,(multiplication(antidomain(antidomain(X1)),multiplication(X1,X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[42993,235,theory(equality)])).
% cnf(43123,plain,(multiplication(antidomain(antidomain(X1)),X1)=X1),inference(rw,[status(thm)],[42995,235,theory(equality)])).
% cnf(43174,plain,(multiplication(antidomain(coantidomain(multiplication(X1,coantidomain(X1)))),multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1)))))=multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[43123,10191,theory(equality)])).
% cnf(43182,plain,(multiplication(antidomain(coantidomain(zero)),multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[43123,1314,theory(equality)])).
% cnf(43236,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[43174,438,theory(equality)]),83,theory(equality)]),1356,theory(equality)]),1365,theory(equality)]),100,theory(equality)])).
% cnf(43241,plain,(zero=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[43182,429,theory(equality)]),79,theory(equality)])).
% cnf(44221,plain,(addition(multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1)),multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1)))))=antidomain(antidomain(antidomain(X1)))),inference(spm,[status(thm)],[1082,1522,theory(equality)])).
% cnf(44224,plain,(addition(multiplication(X1,antidomain(coantidomain(X1))),zero)=X1),inference(spm,[status(thm)],[1082,43241,theory(equality)])).
% cnf(44333,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[44221,43123,theory(equality)]),102,theory(equality)])).
% cnf(44336,plain,(multiplication(X1,antidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[44224,69,theory(equality)])).
% cnf(44379,plain,(multiplication(antidomain(X1),antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[1522,44333,theory(equality)])).
% cnf(44513,negated_conjecture,(multiplication(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(esk3_0)))!=zero),inference(rw,[status(thm)],[97,44333,theory(equality)])).
% cnf(49783,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(coantidomain(coantidomain(X1)),antidomain(antidomain(antidomain(coantidomain(X1))))))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[1082,43236,theory(equality)])).
% cnf(49878,plain,(multiplication(coantidomain(coantidomain(X1)),antidomain(coantidomain(X1)))=coantidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[49783,44333,theory(equality)]),235,theory(equality)])).
% cnf(51154,plain,(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),multiplication(antidomain(X1),antidomain(antidomain(X1))))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(spm,[status(thm)],[43121,44379,theory(equality)])).
% cnf(51258,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(antidomain(X1),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[51154,44333,theory(equality)]),1591,theory(equality)])).
% cnf(51348,plain,(addition(coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))))),inference(spm,[status(thm)],[49,51258,theory(equality)])).
% cnf(51427,plain,(coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))))),inference(rw,[status(thm)],[51348,1887,theory(equality)])).
% cnf(63048,plain,(antidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))),coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))))))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))),coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))))),inference(spm,[status(thm)],[438,51427,theory(equality)])).
% cnf(63246,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1))),coantidomain(multiplication(antidomain(X1),coantidomain(antidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[63048,83,theory(equality)]),457,theory(equality)]),51427,theory(equality)]),438,theory(equality)])).
% cnf(63247,plain,(multiplication(antidomain(X1),coantidomain(antidomain(X1)))=multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[63246,83,theory(equality)]),457,theory(equality)])).
% cnf(63525,plain,(addition(multiplication(antidomain(X1),coantidomain(antidomain(X1))),multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(antidomain(antidomain(X1)))))=coantidomain(coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[1082,63247,theory(equality)])).
% cnf(63620,plain,(multiplication(coantidomain(coantidomain(antidomain(X1))),antidomain(X1))=coantidomain(coantidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[63525,44333,theory(equality)]),235,theory(equality)])).
% cnf(83779,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=antidomain(multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))),inference(rw,[status(thm)],[1384,1209,theory(equality)])).
% cnf(83848,plain,(multiplication(antidomain(coantidomain(multiplication(X1,coantidomain(X1)))),multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2)))))=multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),inference(spm,[status(thm)],[43123,83779,theory(equality)])).
% cnf(84090,plain,(multiplication(X1,coantidomain(X1))=multiplication(X1,antidomain(antidomain(multiplication(coantidomain(X1),X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[83848,438,theory(equality)]),83,theory(equality)]),1356,theory(equality)])).
% cnf(85651,plain,(addition(multiplication(antidomain(X1),X1),multiplication(antidomain(X1),multiplication(coantidomain(X2),X1)))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(coantidomain(X2),X1),coantidomain(X1)))),inference(spm,[status(thm)],[1599,2863,theory(equality)])).
% cnf(85652,plain,(addition(multiplication(antidomain(X1),X1),multiplication(antidomain(X1),multiplication(antidomain(X2),X1)))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(antidomain(X2),X1),coantidomain(X1)))),inference(spm,[status(thm)],[1599,2106,theory(equality)])).
% cnf(86116,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(coantidomain(X2),X1),coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[85651,1522,theory(equality)]),235,theory(equality)])).
% cnf(86117,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86116,83,theory(equality)]),100,theory(equality)]),235,theory(equality)])).
% cnf(86118,plain,(multiplication(antidomain(X1),multiplication(antidomain(X2),X1))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(antidomain(X2),X1),coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[85652,1522,theory(equality)]),235,theory(equality)])).
% cnf(86119,plain,(multiplication(antidomain(X1),multiplication(antidomain(X2),X1))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86118,83,theory(equality)]),100,theory(equality)]),235,theory(equality)])).
% cnf(92880,plain,(addition(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1))),multiplication(antidomain(X1),coantidomain(antidomain(X1))))=multiplication(coantidomain(X2),antidomain(X1))),inference(spm,[status(thm)],[1081,86117,theory(equality)])).
% cnf(92884,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1)))=multiplication(coantidomain(X2),X1)),inference(spm,[status(thm)],[1081,86117,theory(equality)])).
% cnf(92891,plain,(multiplication(antidomain(coantidomain(X1)),coantidomain(antidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[43121,86117,theory(equality)])).
% cnf(93021,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1)))=multiplication(coantidomain(X2),antidomain(X1))),inference(rw,[status(thm)],[92880,102,theory(equality)])).
% cnf(93025,plain,(multiplication(antidomain(antidomain(X1)),multiplication(coantidomain(X2),X1))=multiplication(coantidomain(X2),X1)),inference(rw,[status(thm)],[92884,235,theory(equality)])).
% cnf(93189,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X2),X1)))=multiplication(antidomain(X2),X1)),inference(spm,[status(thm)],[1081,86119,theory(equality)])).
% cnf(93345,plain,(multiplication(antidomain(antidomain(X1)),multiplication(antidomain(X2),X1))=multiplication(antidomain(X2),X1)),inference(rw,[status(thm)],[93189,235,theory(equality)])).
% cnf(97281,plain,(multiplication(antidomain(antidomain(antidomain(coantidomain(X1)))),multiplication(coantidomain(X1),antidomain(coantidomain(X1))))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(spm,[status(thm)],[43121,92891,theory(equality)])).
% cnf(97409,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(X1),antidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[97281,44333,theory(equality)]),1591,theory(equality)]),1365,theory(equality)])).
% cnf(103715,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(X1))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[1356,93021,theory(equality)])).
% cnf(104467,plain,(addition(multiplication(antidomain(X1),coantidomain(antidomain(X1))),multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))))=coantidomain(antidomain(X1))),inference(spm,[status(thm)],[1082,103715,theory(equality)])).
% cnf(104611,plain,(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1)))=coantidomain(antidomain(X1))),inference(rw,[status(thm)],[104467,235,theory(equality)])).
% cnf(107741,plain,(addition(multiplication(coantidomain(X1),antidomain(coantidomain(X1))),coantidomain(coantidomain(X1)))=antidomain(coantidomain(X1))),inference(spm,[status(thm)],[1773,49878,theory(equality)])).
% cnf(107743,plain,(addition(multiplication(coantidomain(antidomain(X1)),antidomain(antidomain(X1))),multiplication(antidomain(X1),coantidomain(antidomain(X1))))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[1773,63247,theory(equality)])).
% cnf(107744,plain,(addition(multiplication(coantidomain(antidomain(X1)),antidomain(X1)),coantidomain(coantidomain(antidomain(X1))))=antidomain(X1)),inference(spm,[status(thm)],[1773,63620,theory(equality)])).
% cnf(107948,plain,(coantidomain(coantidomain(X1))=antidomain(coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[107741,97409,theory(equality)]),235,theory(equality)])).
% cnf(107950,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[107743,104611,theory(equality)]),2106,theory(equality)])).
% cnf(107951,plain,(coantidomain(coantidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[107744,103715,theory(equality)]),235,theory(equality)])).
% cnf(108177,plain,(multiplication(X1,coantidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[44336,107948,theory(equality)])).
% cnf(108557,plain,(multiplication(coantidomain(antidomain(X1)),multiplication(coantidomain(X2),X1))=multiplication(coantidomain(X2),X1)),inference(rw,[status(thm)],[93025,107950,theory(equality)])).
% cnf(108559,plain,(multiplication(coantidomain(antidomain(X1)),multiplication(antidomain(X2),X1))=multiplication(antidomain(X2),X1)),inference(rw,[status(thm)],[93345,107950,theory(equality)])).
% cnf(108568,plain,(multiplication(coantidomain(antidomain(X1)),multiplication(X1,X2))=multiplication(X1,X2)),inference(rw,[status(thm)],[43121,107950,theory(equality)])).
% cnf(108586,plain,(multiplication(X1,coantidomain(antidomain(multiplication(coantidomain(X1),X2))))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[84090,107950,theory(equality)])).
% cnf(108587,negated_conjecture,(multiplication(coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),coantidomain(antidomain(esk3_0)))!=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[44513,107950,theory(equality)]),107950,theory(equality)]),107950,theory(equality)])).
% cnf(108588,negated_conjecture,(multiplication(coantidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(coantidomain(antidomain(esk3_0)))),esk1_0))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[98,107950,theory(equality)]),107950,theory(equality)])).
% cnf(109835,plain,(addition(zero,multiplication(X1,coantidomain(coantidomain(addition(X1,X2)))))=X1),inference(spm,[status(thm)],[1774,30377,theory(equality)])).
% cnf(109837,plain,(addition(zero,multiplication(X1,coantidomain(coantidomain(addition(X2,X1)))))=X1),inference(spm,[status(thm)],[1774,30384,theory(equality)])).
% cnf(109957,plain,(multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))=X1),inference(rw,[status(thm)],[109835,205,theory(equality)])).
% cnf(109959,plain,(multiplication(X1,coantidomain(coantidomain(addition(X2,X1))))=X1),inference(rw,[status(thm)],[109837,205,theory(equality)])).
% cnf(109984,plain,(addition(coantidomain(X1),multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1)))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1773,108177,theory(equality)])).
% cnf(110092,plain,(coantidomain(X1)=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[109984,1365,theory(equality)]),1365,theory(equality)]),102,theory(equality)])).
% cnf(116505,plain,(multiplication(multiplication(X1,coantidomain(X2)),coantidomain(coantidomain(X1)))=multiplication(X1,coantidomain(X2))),inference(spm,[status(thm)],[109957,1774,theory(equality)])).
% cnf(116669,plain,(multiplication(X1,multiplication(coantidomain(X2),coantidomain(coantidomain(X1))))=multiplication(X1,coantidomain(X2))),inference(rw,[status(thm)],[116505,83,theory(equality)])).
% cnf(116900,plain,(multiplication(multiplication(X1,antidomain(X2)),coantidomain(coantidomain(X1)))=multiplication(X1,antidomain(X2))),inference(spm,[status(thm)],[109959,2299,theory(equality)])).
% cnf(117061,plain,(multiplication(X1,multiplication(antidomain(X2),coantidomain(coantidomain(X1))))=multiplication(X1,antidomain(X2))),inference(rw,[status(thm)],[116900,83,theory(equality)])).
% cnf(119053,plain,(multiplication(coantidomain(coantidomain(coantidomain(X1))),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X2),coantidomain(X1))),inference(spm,[status(thm)],[108557,107948,theory(equality)])).
% cnf(119204,plain,(multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X2),coantidomain(X1))),inference(rw,[status(thm)],[119053,110092,theory(equality)])).
% cnf(119762,plain,(multiplication(coantidomain(coantidomain(coantidomain(X1))),multiplication(antidomain(X2),coantidomain(X1)))=multiplication(antidomain(X2),coantidomain(X1))),inference(spm,[status(thm)],[108559,107948,theory(equality)])).
% cnf(119896,plain,(multiplication(coantidomain(X1),multiplication(antidomain(X2),coantidomain(X1)))=multiplication(antidomain(X2),coantidomain(X1))),inference(rw,[status(thm)],[119762,110092,theory(equality)])).
% cnf(120485,plain,(multiplication(antidomain(X1),coantidomain(antidomain(multiplication(X1,X2))))=multiplication(antidomain(X1),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[108586,108568,theory(equality)])).
% cnf(120823,plain,(multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X1),coantidomain(X2))),inference(spm,[status(thm)],[116669,110092,theory(equality)])).
% cnf(121620,plain,(multiplication(coantidomain(X1),multiplication(antidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X1),antidomain(X2))),inference(spm,[status(thm)],[117061,110092,theory(equality)])).
% cnf(126867,plain,(multiplication(coantidomain(X2),coantidomain(X1))=multiplication(coantidomain(X1),coantidomain(X2))),inference(rw,[status(thm)],[120823,119204,theory(equality)])).
% cnf(127144,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))!=zero),inference(rw,[status(thm)],[108587,126867,theory(equality)])).
% cnf(127418,plain,(multiplication(antidomain(X2),coantidomain(X1))=multiplication(coantidomain(X1),antidomain(X2))),inference(rw,[status(thm)],[121620,119896,theory(equality)])).
% cnf(525440,negated_conjecture,(multiplication(coantidomain(antidomain(esk2_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))))=zero),inference(rw,[status(thm)],[108588,107951,theory(equality)])).
% cnf(525651,negated_conjecture,(multiplication(multiplication(coantidomain(antidomain(esk3_0)),esk1_0),zero)=multiplication(multiplication(coantidomain(antidomain(esk3_0)),esk1_0),coantidomain(antidomain(esk2_0)))),inference(spm,[status(thm)],[116669,525440,theory(equality)])).
% cnf(525936,negated_conjecture,(zero=multiplication(multiplication(coantidomain(antidomain(esk3_0)),esk1_0),coantidomain(antidomain(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[525651,83,theory(equality)]),81,theory(equality)]),81,theory(equality)])).
% cnf(525937,negated_conjecture,(zero=multiplication(coantidomain(antidomain(esk3_0)),multiplication(esk1_0,coantidomain(antidomain(esk2_0))))),inference(rw,[status(thm)],[525936,83,theory(equality)])).
% cnf(526057,negated_conjecture,(addition(zero,multiplication(coantidomain(coantidomain(antidomain(esk3_0))),multiplication(esk1_0,coantidomain(antidomain(esk2_0)))))=multiplication(esk1_0,coantidomain(antidomain(esk2_0)))),inference(spm,[status(thm)],[1773,525937,theory(equality)])).
% cnf(526255,negated_conjecture,(multiplication(antidomain(esk3_0),multiplication(esk1_0,coantidomain(antidomain(esk2_0))))=multiplication(esk1_0,coantidomain(antidomain(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[526057,107951,theory(equality)]),205,theory(equality)])).
% cnf(528042,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))=multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(spm,[status(thm)],[120485,526255,theory(equality)])).
% cnf(528202,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))=multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[528042,107950,theory(equality)])).
% cnf(528203,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),coantidomain(antidomain(multiplication(esk1_0,coantidomain(antidomain(esk2_0))))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[528202,107950,theory(equality)]),107950,theory(equality)]),107951,theory(equality)]),127418,theory(equality)]),73,theory(equality)])).
% cnf(528204,negated_conjecture,($false),inference(sr,[status(thm)],[528203,127144,theory(equality)])).
% cnf(528205,negated_conjecture,($false),528204,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 18611
% # ...of these trivial                : 2445
% # ...subsumed                        : 14831
% # ...remaining for further processing: 1335
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 2
% # Backward-rewritten                 : 462
% # Generated clauses                  : 265012
% # ...of the previous two non-trivial : 140654
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 264991
% # Factorizations                     : 0
% # Equation resolutions               : 21
% # Current number of processed clauses: 871
% #    Positive orientable unit clauses: 599
% #    Positive unorientable unit clauses: 26
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 245
% # Current number of unprocessed clauses: 78815
% # ...number of literals in the above : 120282
% # Clause-clause subsumption calls (NU) : 54171
% # Rec. Clause-clause subsumption calls : 54171
% # Unit Clause-clause subsumption calls : 837
% # Rewrite failures with RHS unbound  : 412
% # Indexed BW rewrite attempts        : 3411
% # Indexed BW rewrite successes       : 756
% # Backwards rewriting index:   506 leaves,   2.49+/-2.651 terms/leaf
% # Paramod-from index:          313 leaves,   2.03+/-1.624 terms/leaf
% # Paramod-into index:          426 leaves,   2.54+/-2.802 terms/leaf
% # -------------------------------------------------
% # User time              : 6.910 s
% # System time            : 0.240 s
% # Total time             : 7.150 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.26 CPU 13.45 WC
% FINAL PrfWatch: 13.26 CPU 13.45 WC
% SZS output end Solution for /tmp/SystemOnTPTP17599/KLE102+1.tptp
% 
%------------------------------------------------------------------------------