%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE124+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 08:04:52 EST 2010

% Result   : Theorem 14.21s
% Output   : Solution 14.21s
% 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/SystemOnTPTP3805/KLE124+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP3805/KLE124+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3805/KLE124+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 3901
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.02 WC
% PrfWatch: 3.54 CPU 4.03 WC
% PrfWatch: 5.19 CPU 6.03 WC
% PrfWatch: 7.19 CPU 8.04 WC
% # Preprocessing time     : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.17 CPU 10.04 WC
% PrfWatch: 11.16 CPU 12.05 WC
% PrfWatch: 13.15 CPU 14.05 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(2, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(3, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(4, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(6, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(7, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(8, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(9, axiom,![X4]:![X5]:backward_diamond(X4,X5)=codomain(multiplication(codomain(X5),X4)),file('/tmp/SRASS.s.p', backward_diamond)).
% fof(10, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(13, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(14, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(16, axiom,![X4]:![X5]:addition(antidomain(multiplication(X4,X5)),antidomain(multiplication(X4,antidomain(antidomain(X5)))))=antidomain(multiplication(X4,antidomain(antidomain(X5)))),file('/tmp/SRASS.s.p', domain2)).
% fof(17, axiom,![X4]:![X5]:addition(coantidomain(multiplication(X4,X5)),coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)))=coantidomain(multiplication(coantidomain(coantidomain(X4)),X5)),file('/tmp/SRASS.s.p', codomain2)).
% fof(19, axiom,![X4]:codomain(X4)=coantidomain(coantidomain(X4)),file('/tmp/SRASS.s.p', codomain4)).
% fof(20, axiom,![X4]:multiplication(X4,coantidomain(X4))=zero,file('/tmp/SRASS.s.p', codomain1)).
% fof(21, axiom,![X4]:addition(coantidomain(coantidomain(X4)),coantidomain(X4))=one,file('/tmp/SRASS.s.p', codomain3)).
% fof(22, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(23, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(24, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(25, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(27, conjecture,![X4]:![X5]:![X6]:![X7]:![X8]:(((addition(domain(X6),domain(X5))=domain(X5)&addition(backward_diamond(X4,domain(X5)),domain(X7))=domain(X7))&addition(domain(X7),domain(X8))=domain(X8))=>addition(backward_diamond(X4,domain(X6)),domain(X8))=domain(X8)),file('/tmp/SRASS.s.p', goals)).
% fof(28, negated_conjecture,~(![X4]:![X5]:![X6]:![X7]:![X8]:(((addition(domain(X6),domain(X5))=domain(X5)&addition(backward_diamond(X4,domain(X5)),domain(X7))=domain(X7))&addition(domain(X7),domain(X8))=domain(X8))=>addition(backward_diamond(X4,domain(X6)),domain(X8))=domain(X8))),inference(assume_negation,[status(cth)],[27])).
% fof(29, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(30,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(32,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(34,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[4])).
% cnf(36,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(38,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[6])).
% cnf(40,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[7])).
% cnf(42,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[8])).
% cnf(44,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X6]:![X7]:backward_diamond(X6,X7)=codomain(multiplication(codomain(X7),X6)),inference(variable_rename,[status(thm)],[9])).
% cnf(46,plain,(backward_diamond(X1,X2)=codomain(multiplication(codomain(X2),X1))),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[10])).
% fof(48, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[47])).
% cnf(49,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[48])).
% fof(55, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[13])).
% cnf(56,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[14])).
% cnf(58,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[57])).
% fof(61, plain,![X6]:![X7]:addition(antidomain(multiplication(X6,X7)),antidomain(multiplication(X6,antidomain(antidomain(X7)))))=antidomain(multiplication(X6,antidomain(antidomain(X7)))),inference(variable_rename,[status(thm)],[16])).
% cnf(62,plain,(addition(antidomain(multiplication(X1,X2)),antidomain(multiplication(X1,antidomain(antidomain(X2)))))=antidomain(multiplication(X1,antidomain(antidomain(X2))))),inference(split_conjunct,[status(thm)],[61])).
% fof(63, plain,![X6]:![X7]:addition(coantidomain(multiplication(X6,X7)),coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)))=coantidomain(multiplication(coantidomain(coantidomain(X6)),X7)),inference(variable_rename,[status(thm)],[17])).
% cnf(64,plain,(addition(coantidomain(multiplication(X1,X2)),coantidomain(multiplication(coantidomain(coantidomain(X1)),X2)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),X2))),inference(split_conjunct,[status(thm)],[63])).
% fof(67, plain,![X5]:codomain(X5)=coantidomain(coantidomain(X5)),inference(variable_rename,[status(thm)],[19])).
% cnf(68,plain,(codomain(X1)=coantidomain(coantidomain(X1))),inference(split_conjunct,[status(thm)],[67])).
% fof(69, plain,![X5]:multiplication(X5,coantidomain(X5))=zero,inference(variable_rename,[status(thm)],[20])).
% cnf(70,plain,(multiplication(X1,coantidomain(X1))=zero),inference(split_conjunct,[status(thm)],[69])).
% fof(71, plain,![X5]:addition(coantidomain(coantidomain(X5)),coantidomain(X5))=one,inference(variable_rename,[status(thm)],[21])).
% cnf(72,plain,(addition(coantidomain(coantidomain(X1)),coantidomain(X1))=one),inference(split_conjunct,[status(thm)],[71])).
% fof(73, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[22])).
% cnf(74,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[73])).
% fof(75, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[23])).
% cnf(76,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[75])).
% fof(77, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[24])).
% cnf(78,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[77])).
% fof(79, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[25])).
% cnf(80,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[79])).
% fof(83, negated_conjecture,?[X4]:?[X5]:?[X6]:?[X7]:?[X8]:(((addition(domain(X6),domain(X5))=domain(X5)&addition(backward_diamond(X4,domain(X5)),domain(X7))=domain(X7))&addition(domain(X7),domain(X8))=domain(X8))&~(addition(backward_diamond(X4,domain(X6)),domain(X8))=domain(X8))),inference(fof_nnf,[status(thm)],[28])).
% fof(84, negated_conjecture,?[X9]:?[X10]:?[X11]:?[X12]:?[X13]:(((addition(domain(X11),domain(X10))=domain(X10)&addition(backward_diamond(X9,domain(X10)),domain(X12))=domain(X12))&addition(domain(X12),domain(X13))=domain(X13))&~(addition(backward_diamond(X9,domain(X11)),domain(X13))=domain(X13))),inference(variable_rename,[status(thm)],[83])).
% fof(85, negated_conjecture,(((addition(domain(esk3_0),domain(esk2_0))=domain(esk2_0)&addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk4_0))=domain(esk4_0))&addition(domain(esk4_0),domain(esk5_0))=domain(esk5_0))&~(addition(backward_diamond(esk1_0,domain(esk3_0)),domain(esk5_0))=domain(esk5_0))),inference(skolemize,[status(esa)],[84])).
% cnf(86,negated_conjecture,(addition(backward_diamond(esk1_0,domain(esk3_0)),domain(esk5_0))!=domain(esk5_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(87,negated_conjecture,(addition(domain(esk4_0),domain(esk5_0))=domain(esk5_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(88,negated_conjecture,(addition(backward_diamond(esk1_0,domain(esk2_0)),domain(esk4_0))=domain(esk4_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(89,negated_conjecture,(addition(domain(esk3_0),domain(esk2_0))=domain(esk2_0)),inference(split_conjunct,[status(thm)],[85])).
% cnf(96,negated_conjecture,(addition(antidomain(antidomain(esk3_0)),antidomain(antidomain(esk2_0)))=antidomain(antidomain(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[89,40,theory(equality)]),40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(97,negated_conjecture,(addition(antidomain(antidomain(esk4_0)),antidomain(antidomain(esk5_0)))=antidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[87,40,theory(equality)]),40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(98,negated_conjecture,(addition(backward_diamond(esk1_0,antidomain(antidomain(esk2_0))),antidomain(antidomain(esk4_0)))=antidomain(antidomain(esk4_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[88,40,theory(equality)]),40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(99,negated_conjecture,(addition(backward_diamond(esk1_0,antidomain(antidomain(esk3_0))),antidomain(antidomain(esk5_0)))!=antidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[86,40,theory(equality)]),40,theory(equality)]),40,theory(equality)]),['unfolding']).
% cnf(100,plain,(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X2)),X1)))=backward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[46,68,theory(equality)]),68,theory(equality)]),['unfolding']).
% cnf(102,negated_conjecture,(addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(antidomain(esk4_0)))=antidomain(antidomain(esk4_0))),inference(rw,[status(thm)],[98,100,theory(equality)]),['unfolding']).
% cnf(103,negated_conjecture,(addition(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))),antidomain(antidomain(esk5_0)))!=antidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[99,100,theory(equality)]),['unfolding']).
% cnf(105,plain,(multiplication(multiplication(X2,coantidomain(X2)),X1)=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[58,70,theory(equality)])).
% cnf(106,plain,(multiplication(X1,multiplication(X2,coantidomain(X2)))=multiplication(X2,coantidomain(X2))),inference(spm,[status(thm)],[56,70,theory(equality)])).
% cnf(107,plain,(addition(X1,multiplication(X2,coantidomain(X2)))=X1),inference(spm,[status(thm)],[44,70,theory(equality)])).
% cnf(108,plain,(zero=coantidomain(one)),inference(spm,[status(thm)],[80,70,theory(equality)])).
% cnf(112,plain,(multiplication(multiplication(antidomain(X2),X2),X1)=multiplication(antidomain(X2),X2)),inference(spm,[status(thm)],[58,74,theory(equality)])).
% cnf(116,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[78,74,theory(equality)])).
% cnf(150,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[32,34,theory(equality)])).
% cnf(155,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[44,30,theory(equality)])).
% cnf(157,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[49,30,theory(equality)])).
% cnf(164,negated_conjecture,(addition(antidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk3_0)))),esk1_0))))!=antidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[103,30,theory(equality)])).
% cnf(173,plain,(addition(multiplication(X2,coantidomain(X2)),X1)=X1),inference(spm,[status(thm)],[155,70,theory(equality)])).
% cnf(201,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[76,30,theory(equality)])).
% cnf(209,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[201,116,theory(equality)])).
% cnf(211,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[209,155,theory(equality)])).
% cnf(213,plain,(antidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[116,211,theory(equality)])).
% cnf(214,plain,(coantidomain(antidomain(zero))=zero),inference(rw,[status(thm)],[108,211,theory(equality)])).
% cnf(215,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[201,211,theory(equality)])).
% cnf(216,plain,(multiplication(X1,antidomain(zero))=X1),inference(rw,[status(thm)],[78,211,theory(equality)])).
% cnf(217,plain,(multiplication(antidomain(zero),X1)=X1),inference(rw,[status(thm)],[80,211,theory(equality)])).
% cnf(330,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[150,30,theory(equality)])).
% cnf(345,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=one),inference(rw,[status(thm)],[72,30,theory(equality)])).
% cnf(346,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=antidomain(zero)),inference(rw,[status(thm)],[345,211,theory(equality)])).
% cnf(362,plain,(addition(zero,coantidomain(zero))=antidomain(zero)),inference(spm,[status(thm)],[346,214,theory(equality)])).
% cnf(366,plain,(coantidomain(zero)=antidomain(zero)),inference(rw,[status(thm)],[362,155,theory(equality)])).
% cnf(373,plain,(antidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[213,366,theory(equality)])).
% cnf(374,plain,(coantidomain(coantidomain(zero))=zero),inference(rw,[status(thm)],[214,366,theory(equality)])).
% cnf(375,plain,(addition(coantidomain(X1),coantidomain(coantidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[346,366,theory(equality)])).
% cnf(376,plain,(multiplication(X1,coantidomain(zero))=X1),inference(rw,[status(thm)],[216,366,theory(equality)])).
% cnf(377,plain,(multiplication(coantidomain(zero),X1)=X1),inference(rw,[status(thm)],[217,366,theory(equality)])).
% cnf(382,plain,(antidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[373,70,theory(equality)])).
% cnf(389,plain,(coantidomain(coantidomain(multiplication(X1,coantidomain(X1))))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[374,70,theory(equality)])).
% cnf(401,plain,(multiplication(X1,coantidomain(multiplication(X2,coantidomain(X2))))=X1),inference(spm,[status(thm)],[376,70,theory(equality)])).
% cnf(564,negated_conjecture,(multiplication(X1,antidomain(antidomain(esk5_0)))=addition(multiplication(X1,antidomain(antidomain(esk4_0))),multiplication(X1,antidomain(antidomain(esk5_0))))),inference(spm,[status(thm)],[36,97,theory(equality)])).
% cnf(850,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),multiplication(X2,coantidomain(addition(X1,X2))))=zero),inference(spm,[status(thm)],[70,38,theory(equality)])).
% cnf(862,negated_conjecture,(multiplication(antidomain(antidomain(esk2_0)),X1)=addition(multiplication(antidomain(antidomain(esk3_0)),X1),multiplication(antidomain(antidomain(esk2_0)),X1))),inference(spm,[status(thm)],[38,96,theory(equality)])).
% cnf(863,negated_conjecture,(multiplication(antidomain(antidomain(esk5_0)),X1)=addition(multiplication(antidomain(antidomain(esk4_0)),X1),multiplication(antidomain(antidomain(esk5_0)),X1))),inference(spm,[status(thm)],[38,97,theory(equality)])).
% cnf(897,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=coantidomain(zero)),inference(rw,[status(thm)],[215,366,theory(equality)])).
% cnf(906,plain,(multiplication(addition(antidomain(X2),antidomain(antidomain(X2))),X1)=X1),inference(spm,[status(thm)],[377,897,theory(equality)])).
% cnf(907,plain,(multiplication(X1,addition(antidomain(X2),antidomain(antidomain(X2))))=X1),inference(spm,[status(thm)],[376,897,theory(equality)])).
% cnf(914,plain,(addition(antidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[150,897,theory(equality)])).
% cnf(950,plain,(addition(multiplication(antidomain(X2),X1),multiplication(antidomain(antidomain(X2)),X1))=X1),inference(rw,[status(thm)],[906,38,theory(equality)])).
% cnf(951,plain,(addition(multiplication(X1,antidomain(X2)),multiplication(X1,antidomain(antidomain(X2))))=X1),inference(rw,[status(thm)],[907,36,theory(equality)])).
% cnf(982,plain,(coantidomain(zero)=addition(coantidomain(zero),antidomain(X1))),inference(spm,[status(thm)],[30,914,theory(equality)])).
% cnf(985,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[38,914,theory(equality)])).
% cnf(995,plain,(multiplication(X1,coantidomain(zero))=addition(multiplication(X1,antidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(spm,[status(thm)],[36,914,theory(equality)])).
% cnf(1007,plain,(X2=addition(multiplication(antidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[985,377,theory(equality)])).
% cnf(1008,plain,(X2=addition(multiplication(antidomain(X1),X2),X2)),inference(rw,[status(thm)],[1007,377,theory(equality)])).
% cnf(1014,plain,(X1=addition(multiplication(X1,antidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(rw,[status(thm)],[995,376,theory(equality)])).
% cnf(1015,plain,(X1=addition(multiplication(X1,antidomain(X2)),X1)),inference(rw,[status(thm)],[1014,376,theory(equality)])).
% cnf(1103,plain,(multiplication(X2,multiplication(coantidomain(X2),X1))=multiplication(X2,coantidomain(X2))),inference(rw,[status(thm)],[105,42,theory(equality)])).
% cnf(1149,plain,(multiplication(coantidomain(X1),coantidomain(coantidomain(X1)))=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[1103,106,theory(equality)])).
% cnf(1237,plain,(multiplication(antidomain(X2),multiplication(X2,X1))=multiplication(antidomain(X2),X2)),inference(rw,[status(thm)],[112,42,theory(equality)])).
% cnf(1240,plain,(multiplication(antidomain(X1),X1)=multiplication(X1,coantidomain(X1))),inference(spm,[status(thm)],[106,1237,theory(equality)])).
% cnf(1285,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)],[36,1240,theory(equality)])).
% cnf(1300,plain,(multiplication(antidomain(X1),multiplication(X1,X2))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[1237,1240,theory(equality)])).
% cnf(1306,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)],[1285,38,theory(equality)])).
% cnf(1347,plain,(addition(antidomain(zero),antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1))))))=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(spm,[status(thm)],[62,70,theory(equality)])).
% cnf(1384,plain,(coantidomain(zero)=antidomain(multiplication(X1,antidomain(antidomain(coantidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1347,366,theory(equality)]),982,theory(equality)])).
% cnf(1508,plain,(addition(X2,multiplication(antidomain(X1),X2))=X2),inference(rw,[status(thm)],[1008,30,theory(equality)])).
% cnf(1589,plain,(addition(coantidomain(multiplication(X1,coantidomain(X1))),coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1)))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(spm,[status(thm)],[64,1240,theory(equality)])).
% cnf(1590,plain,(addition(coantidomain(multiplication(X1,multiplication(X2,X3))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3)))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,X2))),X3))),inference(spm,[status(thm)],[64,42,theory(equality)])).
% cnf(1721,plain,(multiplication(addition(coantidomain(X2),coantidomain(coantidomain(X2))),X1)=X1),inference(spm,[status(thm)],[377,375,theory(equality)])).
% cnf(1722,plain,(multiplication(X1,addition(coantidomain(X2),coantidomain(coantidomain(X2))))=X1),inference(spm,[status(thm)],[376,375,theory(equality)])).
% cnf(1737,plain,(addition(coantidomain(X1),coantidomain(zero))=coantidomain(zero)),inference(spm,[status(thm)],[150,375,theory(equality)])).
% cnf(1781,plain,(addition(multiplication(coantidomain(X2),X1),multiplication(coantidomain(coantidomain(X2)),X1))=X1),inference(rw,[status(thm)],[1721,38,theory(equality)])).
% cnf(1782,plain,(addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(coantidomain(X2))))=X1),inference(rw,[status(thm)],[1722,36,theory(equality)])).
% cnf(1844,plain,(coantidomain(zero)=addition(coantidomain(zero),coantidomain(X1))),inference(spm,[status(thm)],[30,1737,theory(equality)])).
% cnf(1847,plain,(multiplication(coantidomain(zero),X2)=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(spm,[status(thm)],[38,1737,theory(equality)])).
% cnf(1858,plain,(multiplication(X1,coantidomain(zero))=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(spm,[status(thm)],[36,1737,theory(equality)])).
% cnf(1873,plain,(X2=addition(multiplication(coantidomain(X1),X2),multiplication(coantidomain(zero),X2))),inference(rw,[status(thm)],[1847,377,theory(equality)])).
% cnf(1874,plain,(X2=addition(multiplication(coantidomain(X1),X2),X2)),inference(rw,[status(thm)],[1873,377,theory(equality)])).
% cnf(1880,plain,(X1=addition(multiplication(X1,coantidomain(X2)),multiplication(X1,coantidomain(zero)))),inference(rw,[status(thm)],[1858,376,theory(equality)])).
% cnf(1881,plain,(X1=addition(multiplication(X1,coantidomain(X2)),X1)),inference(rw,[status(thm)],[1880,376,theory(equality)])).
% cnf(1915,plain,(addition(coantidomain(multiplication(X2,coantidomain(X2))),coantidomain(X1))=coantidomain(multiplication(X2,coantidomain(X2)))),inference(spm,[status(thm)],[1844,70,theory(equality)])).
% cnf(1941,negated_conjecture,(addition(antidomain(antidomain(esk4_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))))=antidomain(antidomain(esk4_0))),inference(rw,[status(thm)],[102,30,theory(equality)])).
% cnf(1949,negated_conjecture,(leq(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),antidomain(antidomain(esk4_0)))),inference(spm,[status(thm)],[157,1941,theory(equality)])).
% cnf(2089,plain,(addition(X1,multiplication(X1,antidomain(X2)))=X1),inference(rw,[status(thm)],[1015,30,theory(equality)])).
% cnf(3232,plain,(addition(X2,multiplication(coantidomain(X1),X2))=X2),inference(rw,[status(thm)],[1874,30,theory(equality)])).
% cnf(3311,plain,(addition(X1,multiplication(X1,coantidomain(X2)))=X1),inference(rw,[status(thm)],[1881,30,theory(equality)])).
% cnf(12266,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(coantidomain(coantidomain(X1)),coantidomain(X1)))),inference(spm,[status(thm)],[64,1915,theory(equality)])).
% cnf(12375,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)],[382,12266,theory(equality)])).
% cnf(12474,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)],[12375,42,theory(equality)]),401,theory(equality)]),12266,theory(equality)]),382,theory(equality)])).
% cnf(12475,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(X1)),coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[12474,42,theory(equality)]),401,theory(equality)])).
% cnf(17313,negated_conjecture,(addition(multiplication(antidomain(antidomain(antidomain(esk5_0))),antidomain(antidomain(esk4_0))),multiplication(antidomain(antidomain(esk5_0)),coantidomain(antidomain(antidomain(esk5_0)))))=multiplication(antidomain(antidomain(esk5_0)),coantidomain(antidomain(antidomain(esk5_0))))),inference(spm,[status(thm)],[564,1240,theory(equality)])).
% cnf(17343,negated_conjecture,(multiplication(antidomain(antidomain(antidomain(esk5_0))),antidomain(antidomain(esk4_0)))=multiplication(antidomain(antidomain(esk5_0)),coantidomain(antidomain(antidomain(esk5_0))))),inference(rw,[status(thm)],[17313,107,theory(equality)])).
% cnf(17454,negated_conjecture,(multiplication(antidomain(antidomain(antidomain(esk5_0))),antidomain(antidomain(esk4_0)))=zero),inference(rw,[status(thm)],[17343,70,theory(equality)])).
% cnf(29993,plain,(addition(multiplication(X1,coantidomain(addition(X1,X2))),zero)=zero),inference(spm,[status(thm)],[150,850,theory(equality)])).
% cnf(30006,plain,(addition(multiplication(X1,coantidomain(addition(X2,X1))),zero)=zero),inference(spm,[status(thm)],[330,850,theory(equality)])).
% cnf(30268,plain,(multiplication(X1,coantidomain(addition(X1,X2)))=zero),inference(rw,[status(thm)],[29993,44,theory(equality)])).
% cnf(30277,plain,(multiplication(X1,coantidomain(addition(X2,X1)))=zero),inference(rw,[status(thm)],[30006,44,theory(equality)])).
% cnf(37920,negated_conjecture,(addition(multiplication(antidomain(antidomain(esk3_0)),antidomain(esk2_0)),multiplication(antidomain(esk2_0),coantidomain(antidomain(esk2_0))))=multiplication(antidomain(esk2_0),coantidomain(antidomain(esk2_0)))),inference(spm,[status(thm)],[862,1240,theory(equality)])).
% cnf(37998,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),antidomain(esk2_0))=multiplication(antidomain(esk2_0),coantidomain(antidomain(esk2_0)))),inference(rw,[status(thm)],[37920,107,theory(equality)])).
% cnf(38019,negated_conjecture,(zero=multiplication(antidomain(antidomain(esk3_0)),antidomain(esk2_0))),inference(rw,[status(thm)],[37998,70,theory(equality)])).
% cnf(38186,negated_conjecture,(addition(multiplication(antidomain(antidomain(esk4_0)),antidomain(esk5_0)),multiplication(antidomain(esk5_0),coantidomain(antidomain(esk5_0))))=multiplication(antidomain(esk5_0),coantidomain(antidomain(esk5_0)))),inference(spm,[status(thm)],[863,1240,theory(equality)])).
% cnf(38264,negated_conjecture,(multiplication(antidomain(antidomain(esk4_0)),antidomain(esk5_0))=multiplication(antidomain(esk5_0),coantidomain(antidomain(esk5_0)))),inference(rw,[status(thm)],[38186,107,theory(equality)])).
% cnf(38285,negated_conjecture,(zero=multiplication(antidomain(antidomain(esk4_0)),antidomain(esk5_0))),inference(rw,[status(thm)],[38264,70,theory(equality)])).
% cnf(40931,plain,(coantidomain(antidomain(antidomain(X1)))=multiplication(antidomain(X1),coantidomain(antidomain(antidomain(X1))))),inference(spm,[status(thm)],[107,950,theory(equality)])).
% cnf(40933,plain,(coantidomain(antidomain(X1))=multiplication(antidomain(antidomain(X1)),coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[173,950,theory(equality)])).
% cnf(41048,plain,(addition(multiplication(X1,coantidomain(X1)),multiplication(antidomain(antidomain(X1)),X1))=X1),inference(spm,[status(thm)],[950,1240,theory(equality)])).
% cnf(41183,plain,(multiplication(antidomain(antidomain(X1)),X1)=X1),inference(rw,[status(thm)],[41048,173,theory(equality)])).
% cnf(41809,negated_conjecture,(addition(zero,multiplication(antidomain(antidomain(esk4_0)),antidomain(antidomain(esk5_0))))=antidomain(antidomain(esk4_0))),inference(spm,[status(thm)],[951,38285,theory(equality)])).
% cnf(41810,negated_conjecture,(addition(zero,multiplication(antidomain(antidomain(esk3_0)),antidomain(antidomain(esk2_0))))=antidomain(antidomain(esk3_0))),inference(spm,[status(thm)],[951,38019,theory(equality)])).
% cnf(41916,negated_conjecture,(multiplication(antidomain(antidomain(esk4_0)),antidomain(antidomain(esk5_0)))=antidomain(antidomain(esk4_0))),inference(rw,[status(thm)],[41809,155,theory(equality)])).
% cnf(41917,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),antidomain(antidomain(esk2_0)))=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[41810,155,theory(equality)])).
% cnf(43271,plain,(addition(antidomain(X1),multiplication(antidomain(antidomain(antidomain(X1))),antidomain(antidomain(X1))))=antidomain(antidomain(antidomain(X1)))),inference(spm,[status(thm)],[951,41183,theory(equality)])).
% cnf(43339,plain,(multiplication(antidomain(coantidomain(zero)),multiplication(X1,antidomain(antidomain(coantidomain(X1)))))=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(spm,[status(thm)],[41183,1384,theory(equality)])).
% cnf(43352,plain,(antidomain(X1)=antidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[43271,1240,theory(equality)]),107,theory(equality)])).
% cnf(43413,plain,(zero=multiplication(X1,antidomain(antidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[43339,373,theory(equality)]),58,theory(equality)])).
% cnf(43576,negated_conjecture,(multiplication(antidomain(esk5_0),antidomain(antidomain(esk4_0)))=zero),inference(rw,[status(thm)],[17454,43352,theory(equality)])).
% cnf(44012,negated_conjecture,(addition(zero,multiplication(antidomain(esk5_0),antidomain(antidomain(antidomain(esk4_0)))))=antidomain(esk5_0)),inference(spm,[status(thm)],[951,43576,theory(equality)])).
% cnf(44053,negated_conjecture,(multiplication(antidomain(esk5_0),antidomain(esk4_0))=antidomain(esk5_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[44012,43352,theory(equality)]),155,theory(equality)])).
% cnf(44075,negated_conjecture,(multiplication(antidomain(esk5_0),X1)=multiplication(antidomain(esk5_0),multiplication(antidomain(esk4_0),X1))),inference(spm,[status(thm)],[42,44053,theory(equality)])).
% cnf(45243,negated_conjecture,(multiplication(antidomain(antidomain(antidomain(esk4_0))),antidomain(antidomain(esk4_0)))=multiplication(antidomain(antidomain(esk4_0)),coantidomain(antidomain(antidomain(esk4_0))))),inference(spm,[status(thm)],[1300,41916,theory(equality)])).
% cnf(45278,negated_conjecture,(multiplication(antidomain(esk4_0),antidomain(antidomain(esk4_0)))=multiplication(antidomain(antidomain(esk4_0)),coantidomain(antidomain(antidomain(esk4_0))))),inference(rw,[status(thm)],[45243,43352,theory(equality)])).
% cnf(45279,negated_conjecture,(multiplication(antidomain(esk4_0),antidomain(antidomain(esk4_0)))=zero),inference(rw,[status(thm)],[45278,70,theory(equality)])).
% cnf(45309,negated_conjecture,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(antidomain(esk4_0)))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(antidomain(esk4_0))))),inference(spm,[status(thm)],[64,45279,theory(equality)])).
% cnf(45344,negated_conjecture,(coantidomain(zero)=coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(antidomain(esk4_0))))),inference(rw,[status(thm)],[45309,1844,theory(equality)])).
% cnf(45888,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),X1)=multiplication(antidomain(antidomain(esk3_0)),multiplication(antidomain(antidomain(esk2_0)),X1))),inference(spm,[status(thm)],[42,41917,theory(equality)])).
% cnf(45891,negated_conjecture,(multiplication(antidomain(antidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0)))=multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(spm,[status(thm)],[1300,41917,theory(equality)])).
% cnf(45926,negated_conjecture,(multiplication(antidomain(esk3_0),antidomain(antidomain(esk3_0)))=multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[45891,43352,theory(equality)])).
% cnf(45927,negated_conjecture,(multiplication(antidomain(esk3_0),antidomain(antidomain(esk3_0)))=zero),inference(rw,[status(thm)],[45926,70,theory(equality)])).
% cnf(45954,negated_conjecture,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0)))))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0))))),inference(spm,[status(thm)],[64,45927,theory(equality)])).
% cnf(45989,negated_conjecture,(coantidomain(zero)=coantidomain(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[45954,1844,theory(equality)])).
% cnf(50798,plain,(addition(zero,multiplication(X1,antidomain(antidomain(antidomain(coantidomain(X1))))))=X1),inference(spm,[status(thm)],[951,43413,theory(equality)])).
% cnf(50995,plain,(multiplication(X1,antidomain(coantidomain(X1)))=X1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[50798,43352,theory(equality)]),155,theory(equality)])).
% cnf(51049,plain,(addition(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1))=antidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[3232,50995,theory(equality)])).
% cnf(51621,negated_conjecture,(multiplication(antidomain(esk5_0),zero)=multiplication(antidomain(esk5_0),coantidomain(addition(antidomain(esk4_0),X1)))),inference(spm,[status(thm)],[44075,30268,theory(equality)])).
% cnf(51670,negated_conjecture,(zero=multiplication(antidomain(esk5_0),coantidomain(addition(antidomain(esk4_0),X1)))),inference(rw,[status(thm)],[51621,56,theory(equality)])).
% cnf(53870,plain,(addition(antidomain(X1),coantidomain(antidomain(antidomain(X1))))=antidomain(X1)),inference(spm,[status(thm)],[3311,40931,theory(equality)])).
% cnf(58701,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)],[1306,3232,theory(equality)])).
% cnf(58704,plain,(addition(multiplication(antidomain(X1),X1),multiplication(antidomain(X1),multiplication(X1,coantidomain(X2))))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(X1,coantidomain(X2)),coantidomain(X1)))),inference(spm,[status(thm)],[1306,3311,theory(equality)])).
% cnf(59134,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)],[58701,1240,theory(equality)]),173,theory(equality)])).
% cnf(59135,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),X1))=multiplication(X1,coantidomain(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[59134,42,theory(equality)]),106,theory(equality)]),173,theory(equality)])).
% cnf(59140,plain,(multiplication(X1,coantidomain(X1))=addition(multiplication(X1,coantidomain(X1)),multiplication(multiplication(X1,coantidomain(X2)),coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[58704,1240,theory(equality)]),1300,theory(equality)]),173,theory(equality)])).
% cnf(59141,plain,(multiplication(X1,coantidomain(X1))=multiplication(X1,multiplication(coantidomain(X2),coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[59140,42,theory(equality)]),173,theory(equality)])).
% cnf(63822,negated_conjecture,(multiplication(multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(antidomain(esk4_0))),coantidomain(zero))=zero),inference(spm,[status(thm)],[70,45344,theory(equality)])).
% cnf(63959,negated_conjecture,(multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(antidomain(esk4_0)))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[63822,42,theory(equality)]),376,theory(equality)])).
% cnf(64148,negated_conjecture,(addition(zero,multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(antidomain(antidomain(esk4_0)))))=coantidomain(coantidomain(antidomain(esk4_0)))),inference(spm,[status(thm)],[951,63959,theory(equality)])).
% cnf(64203,negated_conjecture,(multiplication(coantidomain(coantidomain(antidomain(esk4_0))),antidomain(esk4_0))=coantidomain(coantidomain(antidomain(esk4_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[64148,43352,theory(equality)]),155,theory(equality)])).
% cnf(64262,negated_conjecture,(addition(antidomain(esk4_0),coantidomain(coantidomain(antidomain(esk4_0))))=antidomain(esk4_0)),inference(spm,[status(thm)],[3232,64203,theory(equality)])).
% cnf(64297,negated_conjecture,(addition(multiplication(antidomain(antidomain(esk4_0)),antidomain(esk4_0)),multiplication(antidomain(antidomain(esk4_0)),coantidomain(coantidomain(antidomain(esk4_0)))))=addition(multiplication(antidomain(esk4_0),coantidomain(antidomain(esk4_0))),multiplication(coantidomain(coantidomain(antidomain(esk4_0))),coantidomain(antidomain(esk4_0))))),inference(spm,[status(thm)],[1306,64262,theory(equality)])).
% cnf(64393,negated_conjecture,(multiplication(antidomain(antidomain(esk4_0)),coantidomain(coantidomain(antidomain(esk4_0))))=addition(multiplication(antidomain(esk4_0),coantidomain(antidomain(esk4_0))),multiplication(coantidomain(coantidomain(antidomain(esk4_0))),coantidomain(antidomain(esk4_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[64297,1240,theory(equality)]),70,theory(equality)]),155,theory(equality)])).
% cnf(64394,negated_conjecture,(multiplication(antidomain(antidomain(esk4_0)),coantidomain(coantidomain(antidomain(esk4_0))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[64393,70,theory(equality)]),12475,theory(equality)]),70,theory(equality)]),155,theory(equality)])).
% cnf(64744,negated_conjecture,(multiplication(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0))),coantidomain(zero))=zero),inference(spm,[status(thm)],[70,45989,theory(equality)])).
% cnf(64881,negated_conjecture,(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(esk3_0)))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[64744,42,theory(equality)]),376,theory(equality)])).
% cnf(65070,negated_conjecture,(addition(zero,multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(antidomain(antidomain(esk3_0)))))=coantidomain(coantidomain(antidomain(esk3_0)))),inference(spm,[status(thm)],[951,64881,theory(equality)])).
% cnf(65125,negated_conjecture,(multiplication(coantidomain(coantidomain(antidomain(esk3_0))),antidomain(esk3_0))=coantidomain(coantidomain(antidomain(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[65070,43352,theory(equality)]),155,theory(equality)])).
% cnf(65184,negated_conjecture,(addition(antidomain(esk3_0),coantidomain(coantidomain(antidomain(esk3_0))))=antidomain(esk3_0)),inference(spm,[status(thm)],[3232,65125,theory(equality)])).
% cnf(65217,negated_conjecture,(addition(multiplication(antidomain(antidomain(esk3_0)),antidomain(esk3_0)),multiplication(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(antidomain(esk3_0)))))=addition(multiplication(antidomain(esk3_0),coantidomain(antidomain(esk3_0))),multiplication(coantidomain(coantidomain(antidomain(esk3_0))),coantidomain(antidomain(esk3_0))))),inference(spm,[status(thm)],[1306,65184,theory(equality)])).
% cnf(65312,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(antidomain(esk3_0))))=addition(multiplication(antidomain(esk3_0),coantidomain(antidomain(esk3_0))),multiplication(coantidomain(coantidomain(antidomain(esk3_0))),coantidomain(antidomain(esk3_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[65217,1240,theory(equality)]),70,theory(equality)]),155,theory(equality)])).
% cnf(65313,negated_conjecture,(multiplication(antidomain(antidomain(esk3_0)),coantidomain(coantidomain(antidomain(esk3_0))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[65312,70,theory(equality)]),12475,theory(equality)]),70,theory(equality)]),155,theory(equality)])).
% cnf(65381,negated_conjecture,(addition(zero,multiplication(antidomain(antidomain(antidomain(esk3_0))),coantidomain(coantidomain(antidomain(esk3_0)))))=coantidomain(coantidomain(antidomain(esk3_0)))),inference(spm,[status(thm)],[950,65313,theory(equality)])).
% cnf(65426,negated_conjecture,(multiplication(antidomain(esk3_0),coantidomain(coantidomain(antidomain(esk3_0))))=coantidomain(coantidomain(antidomain(esk3_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[65381,43352,theory(equality)]),155,theory(equality)])).
% cnf(73563,plain,(addition(coantidomain(X1),antidomain(coantidomain(coantidomain(X1))))=antidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[51049,30,theory(equality)])).
% cnf(113342,plain,(coantidomain(multiplication(X1,coantidomain(X1)))=coantidomain(multiplication(coantidomain(coantidomain(antidomain(X1))),X1))),inference(rw,[status(thm)],[1589,1915,theory(equality)])).
% cnf(113352,plain,(antidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),coantidomain(multiplication(X1,coantidomain(X1))))))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),coantidomain(multiplication(X1,coantidomain(X1))))),inference(spm,[status(thm)],[382,113342,theory(equality)])).
% cnf(113571,plain,(multiplication(X1,coantidomain(X1))=multiplication(multiplication(coantidomain(coantidomain(antidomain(X1))),X1),coantidomain(multiplication(X1,coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[113352,42,theory(equality)]),401,theory(equality)]),113342,theory(equality)]),382,theory(equality)])).
% cnf(113572,plain,(multiplication(X1,coantidomain(X1))=multiplication(coantidomain(coantidomain(antidomain(X1))),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[113571,42,theory(equality)]),401,theory(equality)])).
% cnf(116238,plain,(addition(coantidomain(multiplication(X1,multiplication(X2,coantidomain(X2)))),coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2))),inference(spm,[status(thm)],[1590,1240,theory(equality)])).
% cnf(116689,plain,(coantidomain(multiplication(X2,coantidomain(X2)))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[116238,106,theory(equality)]),1915,theory(equality)])).
% cnf(130747,plain,(addition(multiplication(coantidomain(antidomain(X1)),X1),multiplication(X1,coantidomain(X1)))=X1),inference(spm,[status(thm)],[1781,113572,theory(equality)])).
% cnf(130945,plain,(multiplication(coantidomain(antidomain(X1)),X1)=X1),inference(rw,[status(thm)],[130747,107,theory(equality)])).
% cnf(132119,plain,(X1=multiplication(X1,coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[173,1782,theory(equality)])).
% cnf(132163,plain,(addition(multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1)),multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1)))))=antidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1782,1240,theory(equality)])).
% cnf(132168,negated_conjecture,(addition(multiplication(antidomain(esk3_0),coantidomain(antidomain(esk3_0))),coantidomain(coantidomain(antidomain(esk3_0))))=antidomain(esk3_0)),inference(spm,[status(thm)],[1782,65426,theory(equality)])).
% cnf(132172,negated_conjecture,(addition(multiplication(antidomain(antidomain(esk4_0)),coantidomain(antidomain(esk4_0))),zero)=antidomain(antidomain(esk4_0))),inference(spm,[status(thm)],[1782,64394,theory(equality)])).
% cnf(132173,negated_conjecture,(addition(multiplication(antidomain(antidomain(esk3_0)),coantidomain(antidomain(esk3_0))),zero)=antidomain(antidomain(esk3_0))),inference(spm,[status(thm)],[1782,65313,theory(equality)])).
% cnf(132226,negated_conjecture,(addition(zero,multiplication(antidomain(esk5_0),coantidomain(coantidomain(addition(antidomain(esk4_0),X1)))))=antidomain(esk5_0)),inference(spm,[status(thm)],[1782,51670,theory(equality)])).
% cnf(132264,plain,(addition(zero,multiplication(X1,coantidomain(coantidomain(addition(X1,X2)))))=X1),inference(spm,[status(thm)],[1782,30268,theory(equality)])).
% cnf(132265,plain,(addition(zero,multiplication(X1,coantidomain(coantidomain(addition(X2,X1)))))=X1),inference(spm,[status(thm)],[1782,30277,theory(equality)])).
% cnf(132353,plain,(multiplication(antidomain(coantidomain(coantidomain(X1))),coantidomain(X1))=antidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[132163,1149,theory(equality)]),1149,theory(equality)]),107,theory(equality)])).
% cnf(132356,negated_conjecture,(coantidomain(coantidomain(antidomain(esk3_0)))=antidomain(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[132168,70,theory(equality)]),155,theory(equality)])).
% cnf(132360,negated_conjecture,(coantidomain(antidomain(esk4_0))=antidomain(antidomain(esk4_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[132172,40933,theory(equality)]),44,theory(equality)])).
% cnf(132361,negated_conjecture,(coantidomain(antidomain(esk3_0))=antidomain(antidomain(esk3_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[132173,40933,theory(equality)]),44,theory(equality)])).
% cnf(132408,negated_conjecture,(multiplication(antidomain(esk5_0),coantidomain(coantidomain(addition(antidomain(esk4_0),X1))))=antidomain(esk5_0)),inference(rw,[status(thm)],[132226,155,theory(equality)])).
% cnf(132430,plain,(multiplication(X1,coantidomain(coantidomain(addition(X1,X2))))=X1),inference(rw,[status(thm)],[132264,155,theory(equality)])).
% cnf(132431,plain,(multiplication(X1,coantidomain(coantidomain(addition(X2,X1))))=X1),inference(rw,[status(thm)],[132265,155,theory(equality)])).
% cnf(132715,negated_conjecture,(leq(coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(esk2_0)))),esk1_0))),coantidomain(antidomain(esk4_0)))),inference(rw,[status(thm)],[1949,132360,theory(equality)])).
% cnf(133091,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),multiplication(antidomain(antidomain(esk2_0)),X1))=multiplication(antidomain(antidomain(esk3_0)),X1)),inference(rw,[status(thm)],[45888,132361,theory(equality)])).
% cnf(133092,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),multiplication(antidomain(antidomain(esk2_0)),X1))=multiplication(coantidomain(antidomain(esk3_0)),X1)),inference(rw,[status(thm)],[133091,132361,theory(equality)])).
% cnf(133122,negated_conjecture,(addition(antidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(coantidomain(antidomain(esk3_0)))),esk1_0))))!=antidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[164,132361,theory(equality)])).
% cnf(133800,negated_conjecture,(addition(antidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))))!=antidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[133122,132356,theory(equality)])).
% cnf(136317,plain,(addition(coantidomain(antidomain(antidomain(X1))),antidomain(X1))=coantidomain(antidomain(antidomain(X1)))),inference(spm,[status(thm)],[2089,130945,theory(equality)])).
% cnf(136465,plain,(antidomain(X1)=coantidomain(antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[136317,30,theory(equality)]),53870,theory(equality)])).
% cnf(136739,plain,(coantidomain(antidomain(X1))=antidomain(antidomain(X1))),inference(spm,[status(thm)],[136465,43352,theory(equality)])).
% cnf(137027,plain,(antidomain(coantidomain(antidomain(X1)))=coantidomain(coantidomain(antidomain(X1)))),inference(spm,[status(thm)],[136739,136739,theory(equality)])).
% cnf(137124,plain,(coantidomain(coantidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[136465,136739,theory(equality)])).
% cnf(137227,negated_conjecture,(addition(coantidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))))!=antidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[133800,136739,theory(equality)])).
% cnf(137228,negated_conjecture,(addition(coantidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))))!=coantidomain(antidomain(esk5_0))),inference(rw,[status(thm)],[137227,136739,theory(equality)])).
% cnf(138626,plain,(antidomain(coantidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[137027,137124,theory(equality)])).
% cnf(139225,plain,(addition(coantidomain(X1),multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1)))))=coantidomain(coantidomain(coantidomain(X1)))),inference(spm,[status(thm)],[1781,132119,theory(equality)])).
% cnf(139338,plain,(coantidomain(X1)=coantidomain(coantidomain(coantidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[139225,1149,theory(equality)]),1149,theory(equality)]),107,theory(equality)])).
% cnf(145398,plain,(addition(coantidomain(X1),antidomain(coantidomain(coantidomain(X1))))=coantidomain(X1)),inference(spm,[status(thm)],[1508,132353,theory(equality)])).
% cnf(145491,plain,(antidomain(coantidomain(coantidomain(X1)))=coantidomain(X1)),inference(rw,[status(thm)],[145398,73563,theory(equality)])).
% cnf(145624,plain,(antidomain(coantidomain(X1))=coantidomain(coantidomain(X1))),inference(spm,[status(thm)],[136739,145491,theory(equality)])).
% cnf(157517,plain,(addition(multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(coantidomain(coantidomain(X1))))),multiplication(coantidomain(coantidomain(X1)),coantidomain(coantidomain(coantidomain(X1)))))=multiplication(coantidomain(X2),coantidomain(coantidomain(coantidomain(X1))))),inference(spm,[status(thm)],[1781,59141,theory(equality)])).
% cnf(157685,plain,(multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X2),coantidomain(coantidomain(coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[157517,139338,theory(equality)]),1149,theory(equality)]),1149,theory(equality)]),107,theory(equality)])).
% cnf(157686,plain,(multiplication(coantidomain(X1),multiplication(coantidomain(X2),coantidomain(X1)))=multiplication(coantidomain(X2),coantidomain(X1))),inference(rw,[status(thm)],[157685,139338,theory(equality)])).
% cnf(168902,plain,(multiplication(multiplication(X1,coantidomain(X2)),coantidomain(coantidomain(X1)))=multiplication(X1,coantidomain(X2))),inference(spm,[status(thm)],[132430,1782,theory(equality)])).
% cnf(169121,plain,(multiplication(X1,multiplication(coantidomain(X2),coantidomain(coantidomain(X1))))=multiplication(X1,coantidomain(X2))),inference(rw,[status(thm)],[168902,42,theory(equality)])).
% cnf(169381,plain,(multiplication(multiplication(X1,antidomain(X2)),coantidomain(coantidomain(X1)))=multiplication(X1,antidomain(X2))),inference(spm,[status(thm)],[132431,2089,theory(equality)])).
% cnf(169604,plain,(multiplication(X1,multiplication(antidomain(X2),coantidomain(coantidomain(X1))))=multiplication(X1,antidomain(X2))),inference(rw,[status(thm)],[169381,42,theory(equality)])).
% cnf(174345,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),multiplication(coantidomain(antidomain(esk2_0)),X1))=multiplication(coantidomain(antidomain(esk3_0)),X1)),inference(rw,[status(thm)],[133092,136739,theory(equality)])).
% cnf(284585,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1)))=multiplication(coantidomain(X2),antidomain(X1))),inference(spm,[status(thm)],[157686,137124,theory(equality)])).
% cnf(299451,plain,(multiplication(antidomain(X1),multiplication(coantidomain(X2),antidomain(X1)))=multiplication(antidomain(X1),coantidomain(X2))),inference(spm,[status(thm)],[169121,137124,theory(equality)])).
% cnf(366644,plain,(multiplication(coantidomain(X2),antidomain(X1))=multiplication(antidomain(X1),coantidomain(X2))),inference(rw,[status(thm)],[299451,284585,theory(equality)])).
% cnf(443035,negated_conjecture,(leq(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))),coantidomain(antidomain(esk4_0)))),inference(rw,[status(thm)],[132715,136465,theory(equality)])).
% cnf(443036,negated_conjecture,(addition(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))),coantidomain(antidomain(esk4_0)))=coantidomain(antidomain(esk4_0))),inference(spm,[status(thm)],[50,443035,theory(equality)])).
% cnf(443492,negated_conjecture,(addition(coantidomain(antidomain(esk4_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))))=coantidomain(antidomain(esk4_0))),inference(rw,[status(thm)],[443036,30,theory(equality)])).
% cnf(443539,negated_conjecture,(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))),coantidomain(coantidomain(coantidomain(antidomain(esk4_0)))))=coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)))),inference(spm,[status(thm)],[132431,443492,theory(equality)])).
% cnf(443682,negated_conjecture,(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))),coantidomain(antidomain(esk4_0)))=coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0)))),inference(rw,[status(thm)],[443539,137124,theory(equality)])).
% cnf(444835,negated_conjecture,(multiplication(antidomain(coantidomain(antidomain(esk4_0))),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))))=multiplication(coantidomain(antidomain(esk4_0)),coantidomain(coantidomain(antidomain(esk4_0))))),inference(spm,[status(thm)],[59135,443682,theory(equality)])).
% cnf(444929,negated_conjecture,(multiplication(antidomain(esk4_0),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))))=multiplication(coantidomain(antidomain(esk4_0)),coantidomain(coantidomain(antidomain(esk4_0))))),inference(rw,[status(thm)],[444835,138626,theory(equality)])).
% cnf(444930,negated_conjecture,(multiplication(antidomain(esk4_0),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk2_0)),esk1_0))))=zero),inference(rw,[status(thm)],[444929,70,theory(equality)])).
% cnf(445057,negated_conjecture,(multiplication(multiplication(coantidomain(antidomain(esk2_0)),esk1_0),zero)=multiplication(multiplication(coantidomain(antidomain(esk2_0)),esk1_0),antidomain(esk4_0))),inference(spm,[status(thm)],[169604,444930,theory(equality)])).
% cnf(445155,negated_conjecture,(zero=multiplication(multiplication(coantidomain(antidomain(esk2_0)),esk1_0),antidomain(esk4_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[445057,42,theory(equality)]),56,theory(equality)]),56,theory(equality)])).
% cnf(445156,negated_conjecture,(zero=multiplication(coantidomain(antidomain(esk2_0)),multiplication(esk1_0,antidomain(esk4_0)))),inference(rw,[status(thm)],[445155,42,theory(equality)])).
% cnf(445216,negated_conjecture,(multiplication(coantidomain(antidomain(esk3_0)),zero)=multiplication(coantidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(esk4_0)))),inference(spm,[status(thm)],[174345,445156,theory(equality)])).
% cnf(445291,negated_conjecture,(zero=multiplication(coantidomain(antidomain(esk3_0)),multiplication(esk1_0,antidomain(esk4_0)))),inference(rw,[status(thm)],[445216,56,theory(equality)])).
% cnf(445635,negated_conjecture,(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk4_0))))=coantidomain(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk4_0)))),inference(spm,[status(thm)],[1590,445291,theory(equality)])).
% cnf(445711,negated_conjecture,(coantidomain(zero)=coantidomain(multiplication(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),antidomain(esk4_0)))),inference(rw,[status(thm)],[445635,1844,theory(equality)])).
% cnf(461976,negated_conjecture,(coantidomain(multiplication(antidomain(esk4_0),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0)))))=coantidomain(zero)),inference(rw,[status(thm)],[445711,366644,theory(equality)])).
% cnf(461977,negated_conjecture,(multiplication(multiplication(antidomain(esk4_0),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0)))),coantidomain(zero))=zero),inference(spm,[status(thm)],[70,461976,theory(equality)])).
% cnf(462368,negated_conjecture,(multiplication(antidomain(esk4_0),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[461977,42,theory(equality)]),376,theory(equality)])).
% cnf(462895,negated_conjecture,(addition(zero,multiplication(antidomain(esk4_0),coantidomain(coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))))))=antidomain(esk4_0)),inference(spm,[status(thm)],[1782,462368,theory(equality)])).
% cnf(463002,negated_conjecture,(multiplication(antidomain(esk4_0),coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0)))=antidomain(esk4_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[462895,139338,theory(equality)]),155,theory(equality)])).
% cnf(463119,negated_conjecture,(addition(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0)),antidomain(esk4_0))=coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),inference(spm,[status(thm)],[1508,463002,theory(equality)])).
% cnf(463773,negated_conjecture,(addition(antidomain(esk4_0),coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0)))=coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))),inference(rw,[status(thm)],[463119,30,theory(equality)])).
% cnf(481334,plain,(coantidomain(coantidomain(multiplication(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2),coantidomain(multiplication(X2,coantidomain(X2))))))=multiplication(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2),coantidomain(multiplication(X2,coantidomain(X2))))),inference(spm,[status(thm)],[389,116689,theory(equality)])).
% cnf(481846,plain,(multiplication(X2,coantidomain(X2))=multiplication(multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2),coantidomain(multiplication(X2,coantidomain(X2))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[481334,42,theory(equality)]),401,theory(equality)]),116689,theory(equality)]),389,theory(equality)])).
% cnf(481847,plain,(multiplication(X2,coantidomain(X2))=multiplication(coantidomain(coantidomain(multiplication(X1,antidomain(X2)))),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[481846,42,theory(equality)]),401,theory(equality)])).
% cnf(482710,plain,(addition(multiplication(X2,coantidomain(X2)),multiplication(coantidomain(coantidomain(coantidomain(multiplication(X1,antidomain(X2))))),X2))=X2),inference(spm,[status(thm)],[1781,481847,theory(equality)])).
% cnf(483084,plain,(multiplication(coantidomain(multiplication(X1,antidomain(X2))),X2)=X2),inference(rw,[status(thm)],[inference(rw,[status(thm)],[482710,139338,theory(equality)]),173,theory(equality)])).
% cnf(483352,plain,(multiplication(X1,coantidomain(coantidomain(X1)))=multiplication(X1,coantidomain(multiplication(X2,antidomain(coantidomain(coantidomain(X1))))))),inference(spm,[status(thm)],[169121,483084,theory(equality)])).
% cnf(483655,plain,(X1=multiplication(X1,coantidomain(multiplication(X2,antidomain(coantidomain(coantidomain(X1))))))),inference(rw,[status(thm)],[483352,132119,theory(equality)])).
% cnf(483656,plain,(X1=multiplication(X1,coantidomain(multiplication(X2,coantidomain(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[483655,145624,theory(equality)]),139338,theory(equality)])).
% cnf(484184,negated_conjecture,(multiplication(coantidomain(addition(antidomain(esk4_0),X1)),coantidomain(antidomain(esk5_0)))=coantidomain(addition(antidomain(esk4_0),X1))),inference(spm,[status(thm)],[483656,132408,theory(equality)])).
% cnf(488461,negated_conjecture,(addition(coantidomain(antidomain(esk5_0)),coantidomain(addition(antidomain(esk4_0),X1)))=coantidomain(antidomain(esk5_0))),inference(spm,[status(thm)],[3232,484184,theory(equality)])).
% cnf(497238,negated_conjecture,(addition(coantidomain(antidomain(esk5_0)),coantidomain(coantidomain(multiplication(coantidomain(antidomain(esk3_0)),esk1_0))))=coantidomain(antidomain(esk5_0))),inference(spm,[status(thm)],[488461,463773,theory(equality)])).
% cnf(497404,negated_conjecture,($false),inference(sr,[status(thm)],[497238,137228,theory(equality)])).
% cnf(497405,negated_conjecture,($false),497404,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 17390
% # ...of these trivial                : 3176
% # ...subsumed                        : 12158
% # ...remaining for further processing: 2056
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 5
% # Backward-rewritten                 : 826
% # Generated clauses                  : 260175
% # ...of the previous two non-trivial : 149668
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 260151
% # Factorizations                     : 0
% # Equation resolutions               : 24
% # Current number of processed clauses: 1225
% #    Positive orientable unit clauses: 951
% #    Positive unorientable unit clauses: 20
% #    Negative unit clauses           : 1
% #    Non-unit-clauses                : 253
% # Current number of unprocessed clauses: 75530
% # ...number of literals in the above : 122902
% # Clause-clause subsumption calls (NU) : 56040
% # Rec. Clause-clause subsumption calls : 56040
% # Unit Clause-clause subsumption calls : 696
% # Rewrite failures with RHS unbound  : 304
% # Indexed BW rewrite attempts        : 4789
% # Indexed BW rewrite successes       : 1013
% # Backwards rewriting index:   825 leaves,   2.17+/-1.959 terms/leaf
% # Paramod-from index:          499 leaves,   1.96+/-1.360 terms/leaf
% # Paramod-into index:          733 leaves,   2.19+/-2.008 terms/leaf
% # -------------------------------------------------
% # User time              : 7.178 s
% # System time            : 0.268 s
% # Total time             : 7.446 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.36 CPU 14.43 WC
% FINAL PrfWatch: 13.36 CPU 14.43 WC
% SZS output end Solution for /tmp/SystemOnTPTP3805/KLE124+1.tptp
% 
%------------------------------------------------------------------------------