TSTP Solution File: KLE046+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE046+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 : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 07:45:19 EST 2010
% Result : Theorem 160.74s
% Output : Solution 284.47s
% 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/SystemOnTPTP21008/KLE046+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 ... star_induction_left:
% CSA axiom star_induction_left found
% Looking for CSA axiom ... star_induction_right:
% CSA axiom star_induction_right found
% Looking for CSA axiom ... order:
% CSA axiom order found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... star_unfold_right: CSA axiom star_unfold_right found
% Looking for CSA axiom ... star_unfold_left:
% CSA axiom star_unfold_left found
% Looking for CSA axiom ... right_distributivity:
% CSA axiom right_distributivity found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... left_distributivity:
% CSA axiom left_distributivity found
% Looking for CSA axiom ... additive_commutativity:
% CSA axiom additive_commutativity found
% Looking for CSA axiom ... additive_associativity:
% CSA axiom additive_associativity found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... additive_idempotence:
% CSA axiom additive_idempotence found
% Looking for CSA axiom ... multiplicative_associativity:
% CSA axiom multiplicative_associativity found
% Looking for CSA axiom ... multiplicative_right_identity:
% CSA axiom multiplicative_right_identity found
% ---- Iteration 5 (12 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :multiplicative_right_identity:multiplicative_associativity:additive_idempotence:additive_associativity:additive_commutativity:left_distributivity:right_distributivity:star_unfold_left:star_unfold_right:order:star_induction_right:star_induction_left (12)
% Unselected axioms are ... :multiplicative_left_identity:additive_identity:right_annihilation:left_annihilation (4)
% SZS status THM for /tmp/SystemOnTPTP21008/KLE046+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP21008/KLE046+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 23181
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
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% # Preprocessing time : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
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% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(2, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(3, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(4, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(5, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(6, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(7, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(8, axiom,![X1]:leq(addition(one,multiplication(star(X1),X1)),star(X1)),file('/tmp/SRASS.s.p', star_unfold_left)).
% fof(9, axiom,![X1]:leq(addition(one,multiplication(X1,star(X1))),star(X1)),file('/tmp/SRASS.s.p', star_unfold_right)).
% fof(10, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(11, axiom,![X1]:![X2]:![X3]:(leq(addition(multiplication(X1,X2),X3),X1)=>leq(multiplication(X3,star(X2)),X1)),file('/tmp/SRASS.s.p', star_induction_right)).
% fof(12, axiom,![X1]:![X2]:![X3]:(leq(addition(multiplication(X1,X2),X3),X2)=>leq(multiplication(star(X1),X3),X2)),file('/tmp/SRASS.s.p', star_induction_left)).
% fof(13, conjecture,![X4]:![X5]:(leq(multiplication(star(X5),star(X4)),multiplication(star(X4),star(X5)))=>leq(star(addition(X4,X5)),multiplication(star(X4),star(X5)))),file('/tmp/SRASS.s.p', goals)).
% fof(14, negated_conjecture,~(![X4]:![X5]:(leq(multiplication(star(X5),star(X4)),multiplication(star(X4),star(X5)))=>leq(star(addition(X4,X5)),multiplication(star(X4),star(X5))))),inference(assume_negation,[status(cth)],[13])).
% fof(15, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[1])).
% cnf(16,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[15])).
% fof(17, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[2])).
% cnf(18,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[17])).
% fof(19, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(20,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[19])).
% fof(21, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[4])).
% cnf(22,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[21])).
% fof(23, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[5])).
% cnf(24,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[6])).
% cnf(26,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[25])).
% fof(27, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(28,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X2]:leq(addition(one,multiplication(star(X2),X2)),star(X2)),inference(variable_rename,[status(thm)],[8])).
% cnf(30,plain,(leq(addition(one,multiplication(star(X1),X1)),star(X1))),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X2]:leq(addition(one,multiplication(X2,star(X2))),star(X2)),inference(variable_rename,[status(thm)],[9])).
% cnf(32,plain,(leq(addition(one,multiplication(X1,star(X1))),star(X1))),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[10])).
% fof(34, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[33])).
% cnf(35,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[34])).
% cnf(36,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[34])).
% fof(37, plain,![X1]:![X2]:![X3]:(~(leq(addition(multiplication(X1,X2),X3),X1))|leq(multiplication(X3,star(X2)),X1)),inference(fof_nnf,[status(thm)],[11])).
% fof(38, plain,![X4]:![X5]:![X6]:(~(leq(addition(multiplication(X4,X5),X6),X4))|leq(multiplication(X6,star(X5)),X4)),inference(variable_rename,[status(thm)],[37])).
% cnf(39,plain,(leq(multiplication(X1,star(X2)),X3)|~leq(addition(multiplication(X3,X2),X1),X3)),inference(split_conjunct,[status(thm)],[38])).
% fof(40, plain,![X1]:![X2]:![X3]:(~(leq(addition(multiplication(X1,X2),X3),X2))|leq(multiplication(star(X1),X3),X2)),inference(fof_nnf,[status(thm)],[12])).
% fof(41, plain,![X4]:![X5]:![X6]:(~(leq(addition(multiplication(X4,X5),X6),X5))|leq(multiplication(star(X4),X6),X5)),inference(variable_rename,[status(thm)],[40])).
% cnf(42,plain,(leq(multiplication(star(X1),X2),X3)|~leq(addition(multiplication(X1,X3),X2),X3)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, negated_conjecture,?[X4]:?[X5]:(leq(multiplication(star(X5),star(X4)),multiplication(star(X4),star(X5)))&~(leq(star(addition(X4,X5)),multiplication(star(X4),star(X5))))),inference(fof_nnf,[status(thm)],[14])).
% fof(44, negated_conjecture,?[X6]:?[X7]:(leq(multiplication(star(X7),star(X6)),multiplication(star(X6),star(X7)))&~(leq(star(addition(X6,X7)),multiplication(star(X6),star(X7))))),inference(variable_rename,[status(thm)],[43])).
% fof(45, negated_conjecture,(leq(multiplication(star(esk2_0),star(esk1_0)),multiplication(star(esk1_0),star(esk2_0)))&~(leq(star(addition(esk1_0,esk2_0)),multiplication(star(esk1_0),star(esk2_0))))),inference(skolemize,[status(esa)],[44])).
% cnf(46,negated_conjecture,(~leq(star(addition(esk1_0,esk2_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(split_conjunct,[status(thm)],[45])).
% cnf(47,negated_conjecture,(leq(multiplication(star(esk2_0),star(esk1_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(split_conjunct,[status(thm)],[45])).
% cnf(50,negated_conjecture,(~leq(star(addition(esk2_0,esk1_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(rw,[status(thm)],[46,24,theory(equality)])).
% cnf(55,plain,(multiplication(X1,X2)=multiplication(X1,multiplication(one,X2))),inference(spm,[status(thm)],[18,16,theory(equality)])).
% cnf(60,plain,(addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))),inference(spm,[status(thm)],[24,22,theory(equality)])).
% cnf(63,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[22,20,theory(equality)])).
% cnf(64,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[22,24,theory(equality)])).
% cnf(68,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[64,22,theory(equality)])).
% cnf(71,plain,(leq(addition(one,star(one)),star(one))),inference(spm,[status(thm)],[30,16,theory(equality)])).
% cnf(72,plain,(leq(addition(X1,X2),X3)|addition(X1,addition(X2,X3))!=X3),inference(spm,[status(thm)],[35,22,theory(equality)])).
% cnf(73,plain,(leq(X1,X1)),inference(spm,[status(thm)],[35,20,theory(equality)])).
% cnf(74,plain,(leq(X1,X2)|addition(X2,X1)!=X2),inference(spm,[status(thm)],[35,24,theory(equality)])).
% cnf(78,plain,(leq(multiplication(X1,X2),multiplication(X1,X3))|multiplication(X1,addition(X2,X3))!=multiplication(X1,X3)),inference(spm,[status(thm)],[35,28,theory(equality)])).
% cnf(79,plain,(addition(multiplication(X1,addition(X2,X3)),X4)=addition(multiplication(X1,X2),addition(multiplication(X1,X3),X4))),inference(spm,[status(thm)],[22,28,theory(equality)])).
% cnf(82,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[28,16,theory(equality)])).
% cnf(92,plain,(addition(addition(one,multiplication(X1,star(X1))),star(X1))=star(X1)),inference(spm,[status(thm)],[36,32,theory(equality)])).
% cnf(93,plain,(addition(addition(one,multiplication(star(X1),X1)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,30,theory(equality)])).
% cnf(94,plain,(addition(one,addition(multiplication(X1,star(X1)),star(X1)))=star(X1)),inference(rw,[status(thm)],[92,22,theory(equality)])).
% cnf(95,plain,(addition(one,addition(multiplication(star(X1),X1),star(X1)))=star(X1)),inference(rw,[status(thm)],[93,22,theory(equality)])).
% cnf(99,plain,(leq(multiplication(X1,star(X2)),X3)|~leq(addition(X1,multiplication(X3,X2)),X3)),inference(spm,[status(thm)],[39,24,theory(equality)])).
% cnf(101,plain,(leq(multiplication(multiplication(X1,X2),star(X3)),X1)|~leq(multiplication(X1,addition(X3,X2)),X1)),inference(spm,[status(thm)],[39,28,theory(equality)])).
% cnf(103,plain,(leq(multiplication(X1,multiplication(X2,star(X3))),X1)|~leq(multiplication(X1,addition(X3,X2)),X1)),inference(rw,[status(thm)],[101,18,theory(equality)])).
% cnf(105,plain,(leq(multiplication(star(X1),X2),one)|~leq(addition(X1,X2),one)),inference(spm,[status(thm)],[42,16,theory(equality)])).
% cnf(106,plain,(leq(multiplication(star(X1),multiplication(X1,X2)),X2)|~leq(multiplication(X1,X2),X2)),inference(spm,[status(thm)],[42,20,theory(equality)])).
% cnf(107,plain,(leq(multiplication(star(X1),X2),X3)|~leq(addition(X2,multiplication(X1,X3)),X3)),inference(spm,[status(thm)],[42,24,theory(equality)])).
% cnf(113,plain,(addition(multiplication(addition(X1,X3),X2),X4)=addition(multiplication(X1,X2),addition(multiplication(X3,X2),X4))),inference(spm,[status(thm)],[22,26,theory(equality)])).
% cnf(116,plain,(leq(multiplication(star(X1),multiplication(X2,X3)),X3)|~leq(multiplication(addition(X1,X2),X3),X3)),inference(spm,[status(thm)],[42,26,theory(equality)])).
% cnf(118,plain,(addition(multiplication(X1,X2),multiplication(X3,multiplication(X4,X2)))=multiplication(addition(X1,multiplication(X3,X4)),X2)),inference(spm,[status(thm)],[26,18,theory(equality)])).
% cnf(120,plain,(addition(multiplication(X1,multiplication(X2,X3)),multiplication(X4,X3))=multiplication(addition(multiplication(X1,X2),X4),X3)),inference(spm,[status(thm)],[26,18,theory(equality)])).
% cnf(132,negated_conjecture,(addition(multiplication(star(esk2_0),star(esk1_0)),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(spm,[status(thm)],[36,47,theory(equality)])).
% cnf(135,plain,(leq(X1,addition(X2,X3))|addition(X2,addition(X3,X1))!=addition(X2,X3)),inference(spm,[status(thm)],[74,22,theory(equality)])).
% cnf(142,plain,(leq(addition(one,multiplication(star(multiplication(one,X1)),X1)),star(multiplication(one,X1)))),inference(spm,[status(thm)],[30,55,theory(equality)])).
% cnf(145,plain,(addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(multiplication(one,X2),X3))),inference(spm,[status(thm)],[28,55,theory(equality)])).
% cnf(147,plain,(addition(multiplication(X1,X2),multiplication(X1,X3))=multiplication(X1,addition(X2,multiplication(one,X3)))),inference(spm,[status(thm)],[28,55,theory(equality)])).
% cnf(155,plain,(multiplication(X1,addition(X2,X3))=multiplication(X1,addition(multiplication(one,X2),X3))),inference(rw,[status(thm)],[145,28,theory(equality)])).
% cnf(158,plain,(multiplication(X1,addition(X2,X3))=multiplication(X1,addition(X2,multiplication(one,X3)))),inference(rw,[status(thm)],[147,28,theory(equality)])).
% cnf(161,plain,(addition(addition(one,star(one)),star(one))=star(one)),inference(spm,[status(thm)],[36,71,theory(equality)])).
% cnf(162,plain,(addition(one,star(one))=star(one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[161,22,theory(equality)]),20,theory(equality)])).
% cnf(172,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[35,63,theory(equality)])).
% cnf(181,plain,(addition(X1,addition(X2,X1))=addition(X2,X1)),inference(spm,[status(thm)],[63,24,theory(equality)])).
% cnf(196,plain,(leq(multiplication(X1,X2),multiplication(addition(X1,X3),X2))),inference(spm,[status(thm)],[172,26,theory(equality)])).
% cnf(200,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[172,24,theory(equality)])).
% cnf(207,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[200,22,theory(equality)])).
% cnf(231,plain,(addition(X1,addition(X2,addition(X3,X1)))=addition(X2,addition(X3,X1))),inference(spm,[status(thm)],[181,22,theory(equality)])).
% cnf(263,plain,(leq(X1,addition(X2,addition(X1,X3)))),inference(spm,[status(thm)],[207,24,theory(equality)])).
% cnf(282,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(X1,addition(X2,X4))))),inference(spm,[status(thm)],[263,28,theory(equality)])).
% cnf(283,plain,(leq(multiplication(X1,X2),addition(X3,multiplication(addition(X1,X4),X2)))),inference(spm,[status(thm)],[263,26,theory(equality)])).
% cnf(284,plain,(leq(one,addition(X1,star(one)))),inference(spm,[status(thm)],[263,162,theory(equality)])).
% cnf(306,plain,(addition(one,addition(X1,star(one)))=addition(X1,star(one))),inference(spm,[status(thm)],[36,284,theory(equality)])).
% cnf(344,plain,(leq(addition(X1,X2),X3)|addition(X1,addition(X3,X2))!=X3),inference(spm,[status(thm)],[72,24,theory(equality)])).
% cnf(390,plain,(addition(addition(X1,star(one)),X2)=addition(one,addition(addition(X1,star(one)),X2))),inference(spm,[status(thm)],[22,306,theory(equality)])).
% cnf(410,plain,(addition(X1,addition(star(one),X2))=addition(one,addition(addition(X1,star(one)),X2))),inference(rw,[status(thm)],[390,22,theory(equality)])).
% cnf(411,plain,(addition(X1,addition(star(one),X2))=addition(one,addition(X1,addition(star(one),X2)))),inference(rw,[status(thm)],[410,22,theory(equality)])).
% cnf(443,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[82,24,theory(equality)])).
% cnf(446,plain,(multiplication(addition(X1,X2),addition(X3,one))=addition(X1,addition(X2,multiplication(addition(X1,X2),X3)))),inference(spm,[status(thm)],[22,443,theory(equality)])).
% cnf(462,plain,(leq(X1,addition(X2,multiplication(X1,addition(X3,one))))),inference(spm,[status(thm)],[263,443,theory(equality)])).
% cnf(603,plain,(leq(X1,addition(X2,X3))|addition(X3,addition(X1,X2))!=addition(X2,X3)),inference(spm,[status(thm)],[35,60,theory(equality)])).
% cnf(613,plain,(leq(addition(X1,X2),addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[200,60,theory(equality)])).
% cnf(626,plain,(leq(addition(X1,X2),X3)|addition(X2,addition(X1,X3))!=X3),inference(spm,[status(thm)],[344,60,theory(equality)])).
% cnf(640,plain,(addition(X1,multiplication(X2,addition(X3,X4)))=addition(multiplication(X2,X4),addition(X1,multiplication(X2,X3)))),inference(spm,[status(thm)],[60,28,theory(equality)])).
% cnf(2418,plain,(leq(X1,addition(X2,multiplication(X1,addition(one,X3))))),inference(spm,[status(thm)],[462,24,theory(equality)])).
% cnf(3569,plain,(leq(X1,addition(X2,X3))|addition(X3,addition(X2,X1))!=addition(X2,X3)),inference(spm,[status(thm)],[135,68,theory(equality)])).
% cnf(4091,plain,(addition(one,addition(star(X1),multiplication(X1,star(X1))))=star(X1)),inference(rw,[status(thm)],[94,24,theory(equality)])).
% cnf(4095,plain,(addition(one,star(X1))=star(X1)),inference(spm,[status(thm)],[63,4091,theory(equality)])).
% cnf(4194,plain,(addition(star(X1),X2)=addition(one,addition(star(X1),X2))),inference(spm,[status(thm)],[22,4095,theory(equality)])).
% cnf(4203,plain,(leq(one,addition(star(X1),X2))|addition(X2,star(X1))!=addition(star(X1),X2)),inference(spm,[status(thm)],[603,4095,theory(equality)])).
% cnf(4214,plain,(addition(X1,star(X2))=addition(one,addition(X1,star(X2)))),inference(spm,[status(thm)],[68,4095,theory(equality)])).
% cnf(4258,plain,(leq(one,addition(star(X1),X2))),inference(ar,[status(thm)],[4203,24,18,22,theory(equality)])).
% cnf(4304,plain,(leq(one,multiplication(star(X1),addition(X2,one)))),inference(spm,[status(thm)],[4258,443,theory(equality)])).
% cnf(4565,plain,(addition(one,multiplication(star(X1),addition(X2,one)))=multiplication(star(X1),addition(X2,one))),inference(spm,[status(thm)],[4194,443,theory(equality)])).
% cnf(4574,plain,(addition(star(X1),multiplication(X1,star(X1)))=star(X1)),inference(rw,[status(thm)],[4091,4194,theory(equality)])).
% cnf(4633,plain,(addition(one,multiplication(star(X1),addition(X1,one)))=star(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[95,24,theory(equality)]),443,theory(equality)])).
% cnf(5170,plain,(leq(one,multiplication(star(X1),addition(one,X2)))),inference(spm,[status(thm)],[4304,24,theory(equality)])).
% cnf(5982,plain,(leq(multiplication(X1,star(multiplication(one,X2))),X3)|~leq(addition(X1,multiplication(X3,X2)),X3)),inference(spm,[status(thm)],[99,55,theory(equality)])).
% cnf(5994,plain,(leq(multiplication(X1,star(X2)),X1)|~leq(multiplication(X1,addition(X2,one)),X1)),inference(spm,[status(thm)],[99,443,theory(equality)])).
% cnf(5995,plain,(leq(multiplication(one,star(X1)),star(X1))),inference(spm,[status(thm)],[99,30,theory(equality)])).
% cnf(6002,plain,(addition(multiplication(one,star(X1)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,5995,theory(equality)])).
% cnf(6024,plain,(leq(one,multiplication(star(X1),star(X2)))),inference(spm,[status(thm)],[5170,4095,theory(equality)])).
% cnf(6047,plain,(addition(star(X1),multiplication(one,star(X1)))=star(X1)),inference(rw,[status(thm)],[6002,24,theory(equality)])).
% cnf(6145,plain,(addition(one,multiplication(star(X1),star(X2)))=multiplication(star(X1),star(X2))),inference(spm,[status(thm)],[36,6024,theory(equality)])).
% cnf(6197,plain,(leq(multiplication(one,star(star(X1))),star(X2))|~leq(multiplication(star(X2),star(X1)),star(X2))),inference(spm,[status(thm)],[99,6145,theory(equality)])).
% cnf(6254,plain,(leq(multiplication(X1,star(X1)),star(X1))),inference(spm,[status(thm)],[74,4574,theory(equality)])).
% cnf(6262,plain,(leq(multiplication(X1,star(X1)),addition(star(X1),X2))|addition(X2,star(X1))!=addition(star(X1),X2)),inference(spm,[status(thm)],[3569,4574,theory(equality)])).
% cnf(6313,plain,(leq(multiplication(X1,star(X1)),addition(star(X1),X2))),inference(ar,[status(thm)],[6262,24,18,22,theory(equality)])).
% cnf(6474,plain,(leq(X1,addition(X2,multiplication(X1,star(X3))))),inference(spm,[status(thm)],[2418,4095,theory(equality)])).
% cnf(6516,plain,(leq(X1,star(X1))),inference(spm,[status(thm)],[6474,4574,theory(equality)])).
% cnf(6519,plain,(leq(X1,multiplication(addition(X2,X1),star(X3)))),inference(spm,[status(thm)],[6474,26,theory(equality)])).
% cnf(6522,plain,(leq(X1,addition(multiplication(X1,star(X3)),X2))),inference(spm,[status(thm)],[6474,24,theory(equality)])).
% cnf(6531,plain,(addition(X1,star(X1))=star(X1)),inference(spm,[status(thm)],[36,6516,theory(equality)])).
% cnf(6541,plain,(multiplication(X1,star(multiplication(one,X2)))=multiplication(X1,addition(X2,star(multiplication(one,X2))))),inference(spm,[status(thm)],[155,6531,theory(equality)])).
% cnf(6556,plain,(addition(star(X1),X2)=addition(X1,addition(star(X1),X2))),inference(spm,[status(thm)],[22,6531,theory(equality)])).
% cnf(6565,plain,(leq(X1,addition(star(X1),X2))|addition(X2,star(X1))!=addition(star(X1),X2)),inference(spm,[status(thm)],[603,6531,theory(equality)])).
% cnf(6579,plain,(addition(X1,star(X2))=addition(X2,addition(X1,star(X2)))),inference(spm,[status(thm)],[68,6531,theory(equality)])).
% cnf(6591,plain,(leq(multiplication(X1,X2),multiplication(star(X1),X2))),inference(spm,[status(thm)],[196,6531,theory(equality)])).
% cnf(6594,plain,(leq(addition(X1,X2),star(X1))|addition(X2,star(X1))!=star(X1)),inference(spm,[status(thm)],[626,6531,theory(equality)])).
% cnf(6637,plain,(leq(X1,addition(star(X1),X2))),inference(ar,[status(thm)],[6565,24,18,22,theory(equality)])).
% cnf(6971,plain,(leq(addition(X1,X2),addition(star(X2),X1))),inference(spm,[status(thm)],[613,6556,theory(equality)])).
% cnf(7124,plain,(leq(X1,multiplication(star(X1),addition(X2,one)))),inference(spm,[status(thm)],[6637,443,theory(equality)])).
% cnf(7500,plain,(leq(multiplication(star(X1),X1),one)|~leq(X1,one)),inference(spm,[status(thm)],[105,20,theory(equality)])).
% cnf(7599,plain,(leq(multiplication(star(one),one),one)),inference(spm,[status(thm)],[7500,73,theory(equality)])).
% cnf(7600,plain,(leq(star(one),one)),inference(rw,[status(thm)],[7599,16,theory(equality)])).
% cnf(7616,plain,(addition(star(one),one)=one),inference(spm,[status(thm)],[36,7600,theory(equality)])).
% cnf(7618,plain,(star(one)=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7616,24,theory(equality)]),4095,theory(equality)])).
% cnf(7680,plain,(addition(one,addition(X1,addition(one,X2)))=addition(X1,addition(star(one),X2))),inference(rw,[status(thm)],[411,7618,theory(equality)])).
% cnf(7681,plain,(addition(one,addition(X1,addition(one,X2)))=addition(X1,addition(one,X2))),inference(rw,[status(thm)],[7680,7618,theory(equality)])).
% cnf(7787,plain,(leq(X1,multiplication(addition(X1,X2),star(X3)))),inference(spm,[status(thm)],[6519,24,theory(equality)])).
% cnf(7809,plain,(leq(X1,star(multiplication(X1,star(X2))))),inference(spm,[status(thm)],[6522,6531,theory(equality)])).
% cnf(8095,plain,(leq(multiplication(star(X1),star(X1)),star(X1))|~leq(star(X1),star(X1))),inference(spm,[status(thm)],[107,4574,theory(equality)])).
% cnf(8104,plain,(leq(multiplication(star(X1),X1),X2)|~leq(multiplication(X1,addition(X2,one)),X2)),inference(spm,[status(thm)],[107,443,theory(equality)])).
% cnf(8109,plain,(leq(multiplication(star(X1),star(X1)),star(X1))|$false),inference(rw,[status(thm)],[8095,73,theory(equality)])).
% cnf(8110,plain,(leq(multiplication(star(X1),star(X1)),star(X1))),inference(cn,[status(thm)],[8109,theory(equality)])).
% cnf(8114,plain,(addition(X1,star(multiplication(X1,star(X2))))=star(multiplication(X1,star(X2)))),inference(spm,[status(thm)],[36,7809,theory(equality)])).
% cnf(8766,plain,(leq(addition(multiplication(one,star(X1)),X1),star(X1))),inference(spm,[status(thm)],[6971,6047,theory(equality)])).
% cnf(9282,plain,(leq(X1,multiplication(star(X1),addition(one,X2)))),inference(spm,[status(thm)],[7124,24,theory(equality)])).
% cnf(9411,plain,(leq(X1,multiplication(star(X1),star(X2)))),inference(spm,[status(thm)],[7787,6531,theory(equality)])).
% cnf(9467,plain,(addition(X1,multiplication(star(X1),star(X2)))=multiplication(star(X1),star(X2))),inference(spm,[status(thm)],[36,9411,theory(equality)])).
% cnf(9663,plain,(multiplication(star(X1),addition(X1,one))=star(X1)),inference(rw,[status(thm)],[4633,4565,theory(equality)])).
% cnf(9711,plain,(addition(star(X1),multiplication(star(X1),X2))=multiplication(star(X1),addition(addition(X1,one),X2))),inference(spm,[status(thm)],[28,9663,theory(equality)])).
% cnf(9740,plain,(leq(multiplication(star(X1),X1),multiplication(star(X1),one))|star(X1)!=multiplication(star(X1),one)),inference(spm,[status(thm)],[78,9663,theory(equality)])).
% cnf(9750,plain,(leq(multiplication(X1,addition(X1,one)),star(X1))),inference(spm,[status(thm)],[6591,9663,theory(equality)])).
% cnf(9758,plain,(multiplication(star(X1),addition(one,X1))=star(X1)),inference(spm,[status(thm)],[9663,24,theory(equality)])).
% cnf(9761,plain,(multiplication(star(X1),addition(X2,one))=multiplication(star(X1),addition(addition(X1,one),X2))),inference(rw,[status(thm)],[9711,443,theory(equality)])).
% cnf(9762,plain,(multiplication(star(X1),addition(X2,one))=multiplication(star(X1),addition(X1,addition(one,X2)))),inference(rw,[status(thm)],[9761,22,theory(equality)])).
% cnf(9780,plain,(leq(multiplication(star(X1),X1),star(X1))|star(X1)!=multiplication(star(X1),one)),inference(rw,[status(thm)],[9740,16,theory(equality)])).
% cnf(9781,plain,(leq(multiplication(star(X1),X1),star(X1))|$false),inference(rw,[status(thm)],[9780,16,theory(equality)])).
% cnf(9782,plain,(leq(multiplication(star(X1),X1),star(X1))),inference(cn,[status(thm)],[9781,theory(equality)])).
% cnf(9869,plain,(leq(multiplication(star(addition(X1,X2)),multiplication(X2,star(X1))),star(addition(X1,X2)))),inference(spm,[status(thm)],[103,9782,theory(equality)])).
% cnf(9887,plain,(multiplication(star(X1),X2)=multiplication(star(X1),multiplication(addition(one,X1),X2))),inference(spm,[status(thm)],[18,9758,theory(equality)])).
% cnf(9901,plain,(addition(multiplication(star(X1),X2),star(X1))=multiplication(star(X1),addition(X2,addition(one,X1)))),inference(spm,[status(thm)],[28,9758,theory(equality)])).
% cnf(9951,plain,(multiplication(star(star(X1)),star(X1))=star(star(X1))),inference(spm,[status(thm)],[9758,4095,theory(equality)])).
% cnf(10015,plain,(addition(multiplication(star(X1),star(X1)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,8110,theory(equality)])).
% cnf(10424,plain,(multiplication(X1,addition(multiplication(addition(one,X3),X2),X4))=multiplication(X1,addition(X2,addition(multiplication(X3,X2),X4)))),inference(spm,[status(thm)],[155,113,theory(equality)])).
% cnf(10425,plain,(leq(X1,addition(multiplication(addition(X1,X3),star(X2)),X4))),inference(spm,[status(thm)],[6522,113,theory(equality)])).
% cnf(10894,plain,(addition(X1,multiplication(star(X1),addition(one,X2)))=multiplication(star(X1),addition(one,X2))),inference(spm,[status(thm)],[36,9282,theory(equality)])).
% cnf(11271,plain,(addition(multiplication(X1,addition(X1,one)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,9750,theory(equality)])).
% cnf(11809,plain,(addition(one,addition(X1,multiplication(star(one),star(X2))))=addition(X1,multiplication(star(one),star(X2)))),inference(spm,[status(thm)],[7681,9467,theory(equality)])).
% cnf(11905,plain,(addition(one,addition(X1,multiplication(one,star(X2))))=addition(X1,multiplication(star(one),star(X2)))),inference(rw,[status(thm)],[11809,7618,theory(equality)])).
% cnf(11906,plain,(addition(one,addition(X1,multiplication(one,star(X2))))=addition(X1,multiplication(one,star(X2)))),inference(rw,[status(thm)],[11905,7618,theory(equality)])).
% cnf(12009,plain,(leq(multiplication(star(X1),multiplication(X2,star(addition(X1,X2)))),star(addition(X1,X2)))),inference(spm,[status(thm)],[116,6254,theory(equality)])).
% cnf(13522,negated_conjecture,(leq(star(esk2_0),multiplication(star(esk1_0),star(esk2_0)))),inference(spm,[status(thm)],[6522,132,theory(equality)])).
% cnf(13564,negated_conjecture,(addition(star(esk2_0),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(spm,[status(thm)],[36,13522,theory(equality)])).
% cnf(13912,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(spm,[status(thm)],[6556,13564,theory(equality)])).
% cnf(13971,negated_conjecture,(addition(multiplication(star(esk1_0),star(esk2_0)),X1)=addition(esk2_0,addition(multiplication(star(esk1_0),star(esk2_0)),X1))),inference(spm,[status(thm)],[22,13912,theory(equality)])).
% cnf(14225,negated_conjecture,(leq(multiplication(esk2_0,star(esk2_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(spm,[status(thm)],[6313,13564,theory(equality)])).
% cnf(15488,plain,(addition(one,multiplication(addition(X1,one),star(X2)))=multiplication(addition(X1,one),star(X2))),inference(spm,[status(thm)],[11906,26,theory(equality)])).
% cnf(15612,plain,(leq(multiplication(one,star(X1)),star(multiplication(one,X1)))),inference(spm,[status(thm)],[99,142,theory(equality)])).
% cnf(16614,plain,(leq(addition(X1,multiplication(one,star(X1))),star(X1))),inference(rw,[status(thm)],[8766,24,theory(equality)])).
% cnf(16616,plain,(leq(multiplication(star(one),X1),star(X1))),inference(spm,[status(thm)],[107,16614,theory(equality)])).
% cnf(16623,plain,(leq(multiplication(one,X1),star(X1))),inference(rw,[status(thm)],[16616,7618,theory(equality)])).
% cnf(16627,plain,(addition(multiplication(one,X1),star(X1))=star(X1)),inference(spm,[status(thm)],[36,16623,theory(equality)])).
% cnf(16749,plain,(addition(multiplication(one,X1),star(X2))=addition(multiplication(one,addition(X1,X2)),star(X2))),inference(spm,[status(thm)],[79,16627,theory(equality)])).
% cnf(18878,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),addition(star(esk2_0),X1)))=multiplication(star(esk1_0),addition(star(esk2_0),X1))),inference(spm,[status(thm)],[13971,28,theory(equality)])).
% cnf(18879,negated_conjecture,(addition(esk2_0,multiplication(addition(star(esk1_0),X1),star(esk2_0)))=multiplication(addition(star(esk1_0),X1),star(esk2_0))),inference(spm,[status(thm)],[13971,26,theory(equality)])).
% cnf(20537,negated_conjecture,(addition(multiplication(esk2_0,star(esk2_0)),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(spm,[status(thm)],[36,14225,theory(equality)])).
% cnf(20538,negated_conjecture,(multiplication(addition(esk2_0,star(esk1_0)),star(esk2_0))=multiplication(star(esk1_0),star(esk2_0))),inference(rw,[status(thm)],[20537,26,theory(equality)])).
% cnf(20541,negated_conjecture,(addition(multiplication(star(esk1_0),star(esk2_0)),multiplication(X1,star(esk2_0)))=multiplication(addition(addition(esk2_0,star(esk1_0)),X1),star(esk2_0))),inference(spm,[status(thm)],[26,20538,theory(equality)])).
% cnf(20566,negated_conjecture,(addition(multiplication(X1,star(esk2_0)),multiplication(star(esk1_0),star(esk2_0)))=multiplication(addition(X1,addition(esk2_0,star(esk1_0))),star(esk2_0))),inference(spm,[status(thm)],[26,20538,theory(equality)])).
% cnf(20600,negated_conjecture,(multiplication(addition(star(esk1_0),X1),star(esk2_0))=multiplication(addition(addition(esk2_0,star(esk1_0)),X1),star(esk2_0))),inference(rw,[status(thm)],[20541,26,theory(equality)])).
% cnf(20601,negated_conjecture,(multiplication(addition(star(esk1_0),X1),star(esk2_0))=multiplication(addition(esk2_0,addition(star(esk1_0),X1)),star(esk2_0))),inference(rw,[status(thm)],[20600,22,theory(equality)])).
% cnf(20610,negated_conjecture,(multiplication(addition(X1,star(esk1_0)),star(esk2_0))=multiplication(addition(X1,addition(esk2_0,star(esk1_0))),star(esk2_0))),inference(rw,[status(thm)],[20566,26,theory(equality)])).
% cnf(22684,plain,(addition(multiplication(one,star(X1)),star(multiplication(one,X1)))=star(multiplication(one,X1))),inference(spm,[status(thm)],[36,15612,theory(equality)])).
% cnf(27936,plain,(multiplication(star(X1),star(X1))=star(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[10015,24,theory(equality)]),443,theory(equality)]),24,theory(equality)]),4095,theory(equality)])).
% cnf(27939,plain,(addition(star(X1),multiplication(X2,star(X1)))=multiplication(addition(star(X1),X2),star(X1))),inference(spm,[status(thm)],[26,27936,theory(equality)])).
% cnf(27944,plain,(leq(multiplication(star(star(X1)),star(X1)),star(X1))|~leq(star(X1),star(X1))),inference(spm,[status(thm)],[106,27936,theory(equality)])).
% cnf(27963,plain,(addition(multiplication(star(X1),X2),star(X1))=multiplication(star(X1),addition(X2,star(X1)))),inference(spm,[status(thm)],[28,27936,theory(equality)])).
% cnf(28021,plain,(leq(star(star(X1)),star(X1))|~leq(star(X1),star(X1))),inference(rw,[status(thm)],[27944,9951,theory(equality)])).
% cnf(28022,plain,(leq(star(star(X1)),star(X1))|$false),inference(rw,[status(thm)],[28021,73,theory(equality)])).
% cnf(28023,plain,(leq(star(star(X1)),star(X1))),inference(cn,[status(thm)],[28022,theory(equality)])).
% cnf(28068,plain,(addition(star(star(X1)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,28023,theory(equality)])).
% cnf(28074,plain,(star(star(X1))=star(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[28068,24,theory(equality)]),6531,theory(equality)])).
% cnf(28468,plain,(addition(star(X1),multiplication(X1,addition(X1,one)))=star(X1)),inference(rw,[status(thm)],[11271,24,theory(equality)])).
% cnf(28568,plain,(leq(multiplication(X1,X1),star(X1))),inference(spm,[status(thm)],[282,28468,theory(equality)])).
% cnf(28716,plain,(addition(multiplication(X1,X1),star(X1))=star(X1)),inference(spm,[status(thm)],[36,28568,theory(equality)])).
% cnf(28734,plain,(star(X1)=addition(star(X1),multiplication(X1,X1))),inference(spm,[status(thm)],[24,28716,theory(equality)])).
% cnf(29077,plain,(leq(multiplication(X1,addition(X1,X2)),star(addition(X1,X2)))),inference(spm,[status(thm)],[283,28734,theory(equality)])).
% cnf(32008,negated_conjecture,(multiplication(addition(star(esk2_0),star(esk1_0)),star(esk2_0))=multiplication(star(esk1_0),star(esk2_0))),inference(rw,[status(thm)],[13564,27939,theory(equality)])).
% cnf(32109,negated_conjecture,(addition(multiplication(X1,star(esk2_0)),multiplication(star(esk1_0),star(esk2_0)))=multiplication(addition(X1,addition(star(esk2_0),star(esk1_0))),star(esk2_0))),inference(spm,[status(thm)],[26,32008,theory(equality)])).
% cnf(32165,negated_conjecture,(multiplication(addition(X1,star(esk1_0)),star(esk2_0))=multiplication(addition(X1,addition(star(esk2_0),star(esk1_0))),star(esk2_0))),inference(rw,[status(thm)],[32109,26,theory(equality)])).
% cnf(32923,plain,(multiplication(star(X1),addition(X2,one))=multiplication(star(X1),addition(X2,star(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[27963,24,theory(equality)]),443,theory(equality)])).
% cnf(37137,plain,(addition(X1,multiplication(addition(X1,one),star(X2)))=multiplication(addition(X1,one),addition(star(X2),one))),inference(spm,[status(thm)],[446,15488,theory(equality)])).
% cnf(37348,plain,(addition(X1,multiplication(addition(X1,one),star(X2)))=multiplication(addition(X1,one),star(X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[37137,24,theory(equality)]),4095,theory(equality)])).
% cnf(38297,plain,(leq(multiplication(star(addition(X1,one)),star(X1)),star(addition(X1,one)))),inference(spm,[status(thm)],[5994,9782,theory(equality)])).
% cnf(41552,plain,(leq(multiplication(star(X1),X1),X2)|~leq(multiplication(X1,addition(one,X2)),X2)),inference(spm,[status(thm)],[8104,24,theory(equality)])).
% cnf(45653,plain,(multiplication(star(X1),addition(X1,multiplication(star(one),star(X2))))=multiplication(star(X1),addition(multiplication(star(one),star(X2)),one))),inference(spm,[status(thm)],[9762,9467,theory(equality)])).
% cnf(45773,plain,(multiplication(star(X1),addition(X1,star(X2)))=multiplication(star(X1),addition(multiplication(star(one),star(X2)),one))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[45653,7618,theory(equality)]),158,theory(equality)])).
% cnf(45774,plain,(multiplication(star(X1),addition(X1,star(X2)))=multiplication(star(X1),star(X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[45773,7618,theory(equality)]),24,theory(equality)]),443,theory(equality)]),24,theory(equality)]),4095,theory(equality)]),55,theory(equality)])).
% cnf(45909,plain,(multiplication(star(X1),addition(star(X2),X1))=multiplication(star(X1),star(X2))),inference(spm,[status(thm)],[45774,24,theory(equality)])).
% cnf(48410,negated_conjecture,(multiplication(star(addition(esk2_0,star(esk1_0))),multiplication(addition(one,star(esk1_0)),star(esk2_0)))=multiplication(star(addition(esk2_0,star(esk1_0))),star(esk2_0))),inference(spm,[status(thm)],[9887,20610,theory(equality)])).
% cnf(48501,negated_conjecture,(multiplication(star(addition(esk2_0,star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(addition(esk2_0,star(esk1_0))),star(esk2_0))),inference(rw,[status(thm)],[48410,4095,theory(equality)])).
% cnf(49228,plain,(multiplication(star(X1),addition(X2,one))=multiplication(star(X1),addition(X2,addition(one,X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[9901,24,theory(equality)]),443,theory(equality)])).
% cnf(49368,plain,(multiplication(star(addition(X1,X2)),addition(one,addition(X1,X2)))=multiplication(star(addition(X1,X2)),addition(X2,one))),inference(spm,[status(thm)],[49228,231,theory(equality)])).
% cnf(49501,plain,(star(addition(X1,X2))=multiplication(star(addition(X1,X2)),addition(X2,one))),inference(rw,[status(thm)],[49368,9758,theory(equality)])).
% cnf(50034,negated_conjecture,(multiplication(addition(esk2_0,multiplication(star(star(esk1_0)),addition(one,X1))),star(esk2_0))=multiplication(multiplication(star(star(esk1_0)),addition(one,X1)),star(esk2_0))),inference(spm,[status(thm)],[20601,10894,theory(equality)])).
% cnf(50364,negated_conjecture,(multiplication(addition(esk2_0,multiplication(star(esk1_0),addition(one,X1))),star(esk2_0))=multiplication(multiplication(star(star(esk1_0)),addition(one,X1)),star(esk2_0))),inference(rw,[status(thm)],[50034,28074,theory(equality)])).
% cnf(50365,negated_conjecture,(multiplication(addition(esk2_0,multiplication(star(esk1_0),addition(one,X1))),star(esk2_0))=multiplication(star(esk1_0),multiplication(addition(one,X1),star(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[50364,28074,theory(equality)]),18,theory(equality)])).
% cnf(54287,plain,(addition(star(X2),multiplication(one,addition(X1,X2)))=addition(multiplication(one,X1),star(X2))),inference(rw,[status(thm)],[16749,24,theory(equality)])).
% cnf(55408,plain,(leq(X1,star(multiplication(addition(X1,X2),star(X3))))),inference(spm,[status(thm)],[10425,6531,theory(equality)])).
% cnf(55482,plain,(leq(X1,star(multiplication(addition(X1,X2),one)))),inference(spm,[status(thm)],[55408,7618,theory(equality)])).
% cnf(55564,plain,(leq(X1,star(addition(X1,X2)))),inference(rw,[status(thm)],[55482,16,theory(equality)])).
% cnf(55607,plain,(addition(X1,star(addition(X1,X2)))=star(addition(X1,X2))),inference(spm,[status(thm)],[36,55564,theory(equality)])).
% cnf(55767,plain,(multiplication(star(star(addition(star(X1),X2))),star(addition(star(X1),X2)))=multiplication(star(star(addition(star(X1),X2))),star(X1))),inference(spm,[status(thm)],[45909,55607,theory(equality)])).
% cnf(55937,plain,(addition(X1,star(addition(X2,X3)))=addition(X2,addition(X1,star(addition(X2,X3))))),inference(spm,[status(thm)],[68,55607,theory(equality)])).
% cnf(56122,plain,(addition(X1,star(addition(X2,X1)))=star(addition(X2,X1))),inference(spm,[status(thm)],[55607,181,theory(equality)])).
% cnf(56140,plain,(star(addition(star(X1),X2))=multiplication(star(star(addition(star(X1),X2))),star(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[55767,28074,theory(equality)]),27936,theory(equality)])).
% cnf(56141,plain,(star(addition(star(X1),X2))=multiplication(star(addition(star(X1),X2)),star(X1))),inference(rw,[status(thm)],[56140,28074,theory(equality)])).
% cnf(56566,plain,(multiplication(star(star(addition(X1,star(X2)))),star(addition(X1,star(X2))))=multiplication(star(star(addition(X1,star(X2)))),star(X2))),inference(spm,[status(thm)],[45909,56122,theory(equality)])).
% cnf(56939,plain,(star(addition(X1,star(X2)))=multiplication(star(star(addition(X1,star(X2)))),star(X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[56566,28074,theory(equality)]),27936,theory(equality)])).
% cnf(56940,plain,(star(addition(X1,star(X2)))=multiplication(star(addition(X1,star(X2))),star(X2))),inference(rw,[status(thm)],[56939,28074,theory(equality)])).
% cnf(65638,plain,(multiplication(star(multiplication(one,X1)),star(multiplication(one,X1)))=multiplication(star(multiplication(one,X1)),addition(multiplication(one,star(X1)),one))),inference(spm,[status(thm)],[32923,22684,theory(equality)])).
% cnf(65688,plain,(multiplication(X1,star(multiplication(one,X2)))=multiplication(X1,addition(star(X2),star(multiplication(one,X2))))),inference(spm,[status(thm)],[155,22684,theory(equality)])).
% cnf(65827,plain,(star(multiplication(one,X1))=multiplication(star(multiplication(one,X1)),addition(multiplication(one,star(X1)),one))),inference(rw,[status(thm)],[65638,27936,theory(equality)])).
% cnf(65828,plain,(star(multiplication(one,X1))=multiplication(star(multiplication(one,X1)),star(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[65827,24,theory(equality)]),443,theory(equality)]),24,theory(equality)]),4095,theory(equality)]),55,theory(equality)])).
% cnf(67390,negated_conjecture,(multiplication(star(addition(star(esk2_0),star(esk1_0))),multiplication(addition(one,star(esk1_0)),star(esk2_0)))=multiplication(star(addition(star(esk2_0),star(esk1_0))),star(esk2_0))),inference(spm,[status(thm)],[9887,32165,theory(equality)])).
% cnf(67474,negated_conjecture,(multiplication(star(addition(star(esk2_0),star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(addition(star(esk2_0),star(esk1_0))),star(esk2_0))),inference(rw,[status(thm)],[67390,4095,theory(equality)])).
% cnf(70582,negated_conjecture,(addition(esk2_0,multiplication(multiplication(addition(star(esk1_0),one),star(X1)),star(esk2_0)))=multiplication(multiplication(addition(star(esk1_0),one),star(X1)),star(esk2_0))),inference(spm,[status(thm)],[18879,37348,theory(equality)])).
% cnf(70939,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),multiplication(star(X1),star(esk2_0))))=multiplication(multiplication(addition(star(esk1_0),one),star(X1)),star(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[70582,24,theory(equality)]),4095,theory(equality)]),18,theory(equality)])).
% cnf(70940,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),multiplication(star(X1),star(esk2_0))))=multiplication(star(esk1_0),multiplication(star(X1),star(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[70939,24,theory(equality)]),4095,theory(equality)]),18,theory(equality)])).
% cnf(71917,plain,(leq(multiplication(star(X1),X1),star(X2))|~leq(multiplication(X1,star(X2)),star(X2))),inference(spm,[status(thm)],[41552,4095,theory(equality)])).
% cnf(77844,plain,(multiplication(star(addition(X1,X2)),addition(one,X2))=star(addition(X1,X2))),inference(spm,[status(thm)],[49501,24,theory(equality)])).
% cnf(95154,plain,(leq(multiplication(X1,star(addition(X1,X2))),star(star(addition(X1,X2))))),inference(spm,[status(thm)],[29077,55607,theory(equality)])).
% cnf(95352,plain,(leq(multiplication(X1,star(addition(X1,X2))),star(addition(X1,X2)))),inference(rw,[status(thm)],[95154,28074,theory(equality)])).
% cnf(112471,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),star(multiplication(one,esk2_0))))=multiplication(star(esk1_0),star(multiplication(one,esk2_0)))),inference(spm,[status(thm)],[70940,65828,theory(equality)])).
% cnf(113031,negated_conjecture,(addition(X1,multiplication(star(esk1_0),star(multiplication(one,esk2_0))))=addition(esk2_0,addition(X1,multiplication(star(esk1_0),star(multiplication(one,esk2_0)))))),inference(spm,[status(thm)],[68,112471,theory(equality)])).
% cnf(113140,negated_conjecture,(addition(multiplication(star(esk1_0),X1),multiplication(star(esk1_0),star(multiplication(one,esk2_0))))=addition(esk2_0,multiplication(star(esk1_0),addition(star(multiplication(one,esk2_0)),X1)))),inference(spm,[status(thm)],[640,112471,theory(equality)])).
% cnf(113272,negated_conjecture,(multiplication(star(esk1_0),addition(X1,star(multiplication(one,esk2_0))))=addition(esk2_0,multiplication(star(esk1_0),addition(star(multiplication(one,esk2_0)),X1)))),inference(rw,[status(thm)],[113140,28,theory(equality)])).
% cnf(302203,negated_conjecture,(multiplication(star(addition(star(esk2_0),star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))=star(addition(star(esk2_0),star(esk1_0)))),inference(rw,[status(thm)],[67474,56141,theory(equality)])).
% cnf(302303,negated_conjecture,(addition(star(addition(star(esk2_0),star(esk1_0))),multiplication(X1,star(esk2_0)))=multiplication(addition(multiplication(star(addition(star(esk2_0),star(esk1_0))),star(esk1_0)),X1),star(esk2_0))),inference(spm,[status(thm)],[120,302203,theory(equality)])).
% cnf(302392,negated_conjecture,(addition(star(addition(star(esk2_0),star(esk1_0))),multiplication(X1,star(esk2_0)))=multiplication(addition(star(addition(star(esk2_0),star(esk1_0))),X1),star(esk2_0))),inference(rw,[status(thm)],[302303,56940,theory(equality)])).
% cnf(376957,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),addition(X1,star(multiplication(one,esk2_0)))))=multiplication(star(esk1_0),addition(X1,star(multiplication(one,esk2_0))))),inference(spm,[status(thm)],[113031,28,theory(equality)])).
% cnf(378732,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),addition(multiplication(one,X1),star(multiplication(one,esk2_0)))))=multiplication(star(esk1_0),addition(multiplication(one,addition(X1,multiplication(one,esk2_0))),star(multiplication(one,esk2_0))))),inference(spm,[status(thm)],[113272,54287,theory(equality)])).
% cnf(379023,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),addition(X1,star(multiplication(one,esk2_0)))))=multiplication(star(esk1_0),addition(multiplication(one,addition(X1,multiplication(one,esk2_0))),star(multiplication(one,esk2_0))))),inference(rw,[status(thm)],[378732,155,theory(equality)])).
% cnf(379024,negated_conjecture,(addition(esk2_0,multiplication(star(esk1_0),addition(X1,star(multiplication(one,esk2_0)))))=multiplication(star(esk1_0),addition(X1,addition(esk2_0,star(multiplication(one,esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[379023,158,theory(equality)]),155,theory(equality)]),22,theory(equality)])).
% cnf(559083,plain,(leq(multiplication(star(X1),X1),star(addition(X1,X2)))),inference(spm,[status(thm)],[71917,95352,theory(equality)])).
% cnf(560129,plain,(leq(star(addition(one,X1)),star(addition(addition(one,X1),X2)))),inference(spm,[status(thm)],[559083,77844,theory(equality)])).
% cnf(560289,plain,(leq(star(addition(one,X1)),star(addition(one,addition(X1,X2))))),inference(rw,[status(thm)],[560129,22,theory(equality)])).
% cnf(769646,negated_conjecture,(multiplication(star(esk1_0),addition(X1,star(multiplication(one,esk2_0))))=multiplication(star(esk1_0),addition(X1,addition(esk2_0,star(multiplication(one,esk2_0)))))),inference(rw,[status(thm)],[379024,376957,theory(equality)])).
% cnf(894531,plain,(leq(multiplication(one,star(multiplication(one,X1))),star(X1))),inference(spm,[status(thm)],[5982,30,theory(equality)])).
% cnf(894697,plain,(addition(multiplication(one,star(multiplication(one,X1))),star(X1))=star(X1)),inference(spm,[status(thm)],[36,894531,theory(equality)])).
% cnf(894725,plain,(addition(star(X1),multiplication(one,star(multiplication(one,X1))))=star(X1)),inference(rw,[status(thm)],[894697,24,theory(equality)])).
% cnf(895681,plain,(multiplication(X1,star(X2))=multiplication(X1,addition(star(X2),star(multiplication(one,X2))))),inference(spm,[status(thm)],[158,894725,theory(equality)])).
% cnf(896913,plain,(multiplication(X1,star(X2))=multiplication(X1,star(multiplication(one,X2)))),inference(rw,[status(thm)],[895681,65688,theory(equality)])).
% cnf(898794,plain,(multiplication(X1,addition(multiplication(one,star(X2)),X3))=multiplication(X1,addition(star(multiplication(one,X2)),X3))),inference(spm,[status(thm)],[155,896913,theory(equality)])).
% cnf(899993,plain,(multiplication(X1,addition(star(X2),X3))=multiplication(X1,addition(star(multiplication(one,X2)),X3))),inference(rw,[status(thm)],[898794,155,theory(equality)])).
% cnf(905113,negated_conjecture,(multiplication(star(esk1_0),addition(star(esk2_0),X1))=multiplication(star(esk1_0),addition(X1,star(multiplication(one,esk2_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[113272,899993,theory(equality)]),18878,theory(equality)])).
% cnf(906772,negated_conjecture,(multiplication(star(esk1_0),addition(X1,addition(esk2_0,star(multiplication(one,esk2_0)))))=multiplication(star(esk1_0),addition(star(esk2_0),X1))),inference(rw,[status(thm)],[769646,905113,theory(equality)])).
% cnf(924303,plain,(leq(multiplication(one,star(X1)),star(X2))|~leq(multiplication(star(X2),star(X1)),star(X2))),inference(rw,[status(thm)],[6197,28074,theory(equality)])).
% cnf(1045147,negated_conjecture,(multiplication(addition(esk2_0,multiplication(star(esk1_0),addition(star(esk2_0),one))),star(esk2_0))=multiplication(star(esk1_0),multiplication(addition(one,addition(esk2_0,star(multiplication(one,esk2_0)))),star(esk2_0)))),inference(spm,[status(thm)],[50365,906772,theory(equality)])).
% cnf(1045620,negated_conjecture,(multiplication(star(esk1_0),star(esk2_0))=multiplication(star(esk1_0),multiplication(addition(one,addition(esk2_0,star(multiplication(one,esk2_0)))),star(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1045147,24,theory(equality)]),4095,theory(equality)]),13912,theory(equality)]),18,theory(equality)]),27936,theory(equality)])).
% cnf(1045621,negated_conjecture,(multiplication(star(esk1_0),star(esk2_0))=multiplication(star(esk1_0),multiplication(addition(esk2_0,star(multiplication(one,esk2_0))),star(esk2_0)))),inference(rw,[status(thm)],[1045620,4214,theory(equality)])).
% cnf(1102660,negated_conjecture,(addition(multiplication(star(esk1_0),star(esk2_0)),multiplication(X1,star(esk2_0)))=multiplication(addition(multiplication(star(esk1_0),addition(esk2_0,star(multiplication(one,esk2_0)))),X1),star(esk2_0))),inference(spm,[status(thm)],[120,1045621,theory(equality)])).
% cnf(1102680,negated_conjecture,(addition(multiplication(X1,star(esk2_0)),multiplication(star(esk1_0),star(esk2_0)))=multiplication(addition(X1,multiplication(star(esk1_0),addition(esk2_0,star(multiplication(one,esk2_0))))),star(esk2_0))),inference(spm,[status(thm)],[118,1045621,theory(equality)])).
% cnf(1102860,negated_conjecture,(multiplication(addition(star(esk1_0),X1),star(esk2_0))=multiplication(addition(multiplication(star(esk1_0),addition(esk2_0,star(multiplication(one,esk2_0)))),X1),star(esk2_0))),inference(rw,[status(thm)],[1102660,26,theory(equality)])).
% cnf(1102861,negated_conjecture,(multiplication(addition(star(esk1_0),X1),star(esk2_0))=multiplication(addition(multiplication(star(esk1_0),star(esk2_0)),X1),star(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1102860,6541,theory(equality)]),896913,theory(equality)])).
% cnf(1102883,negated_conjecture,(multiplication(addition(X1,star(esk1_0)),star(esk2_0))=multiplication(addition(X1,multiplication(star(esk1_0),addition(esk2_0,star(multiplication(one,esk2_0))))),star(esk2_0))),inference(rw,[status(thm)],[1102680,26,theory(equality)])).
% cnf(1102884,negated_conjecture,(multiplication(addition(X1,star(esk1_0)),star(esk2_0))=multiplication(addition(X1,multiplication(star(esk1_0),star(esk2_0))),star(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1102883,6541,theory(equality)]),896913,theory(equality)])).
% cnf(1104490,negated_conjecture,(multiplication(multiplication(star(esk1_0),star(esk2_0)),star(esk2_0))=multiplication(addition(multiplication(star(esk2_0),star(esk1_0)),star(esk1_0)),star(esk2_0))),inference(spm,[status(thm)],[1102884,132,theory(equality)])).
% cnf(1104886,negated_conjecture,(multiplication(star(esk1_0),star(esk2_0))=multiplication(addition(multiplication(star(esk2_0),star(esk1_0)),star(esk1_0)),star(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1104490,18,theory(equality)]),27936,theory(equality)])).
% cnf(1112119,negated_conjecture,(multiplication(addition(star(esk2_0),star(esk1_0)),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1104886,24,theory(equality)]),27939,theory(equality)]),24,theory(equality)]),18,theory(equality)])).
% cnf(1112127,negated_conjecture,(leq(multiplication(star(addition(star(esk2_0),star(esk1_0))),multiplication(star(esk1_0),star(esk2_0))),multiplication(star(esk1_0),star(esk2_0)))|~leq(multiplication(star(esk1_0),star(esk2_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(spm,[status(thm)],[106,1112119,theory(equality)])).
% cnf(1112497,negated_conjecture,(leq(star(addition(star(esk2_0),star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))|~leq(multiplication(star(esk1_0),star(esk2_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(rw,[status(thm)],[1112127,302203,theory(equality)])).
% cnf(1112498,negated_conjecture,(leq(star(addition(star(esk2_0),star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))|$false),inference(rw,[status(thm)],[1112497,73,theory(equality)])).
% cnf(1112499,negated_conjecture,(leq(star(addition(star(esk2_0),star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))),inference(cn,[status(thm)],[1112498,theory(equality)])).
% cnf(1160319,negated_conjecture,(addition(star(addition(star(esk2_0),star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(spm,[status(thm)],[36,1112499,theory(equality)])).
% cnf(1160320,negated_conjecture,(multiplication(addition(star(addition(star(esk2_0),star(esk1_0))),star(esk1_0)),star(esk2_0))=multiplication(star(esk1_0),star(esk2_0))),inference(rw,[status(thm)],[1160319,302392,theory(equality)])).
% cnf(1181244,plain,(leq(star(addition(one,X1)),star(addition(one,star(addition(X1,X2)))))),inference(spm,[status(thm)],[560289,55607,theory(equality)])).
% cnf(1181254,plain,(leq(star(addition(one,X1)),star(addition(one,star(X1))))),inference(spm,[status(thm)],[560289,6531,theory(equality)])).
% cnf(1181622,plain,(leq(star(addition(one,X1)),star(addition(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1181244,4095,theory(equality)]),28074,theory(equality)])).
% cnf(1181632,plain,(leq(star(addition(one,X1)),star(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1181254,4095,theory(equality)]),28074,theory(equality)])).
% cnf(1181767,plain,(leq(star(addition(X1,one)),star(X1))),inference(spm,[status(thm)],[1181632,24,theory(equality)])).
% cnf(1181843,plain,(addition(star(addition(X1,one)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,1181767,theory(equality)])).
% cnf(1181852,plain,(addition(star(X1),star(addition(X1,one)))=star(X1)),inference(rw,[status(thm)],[1181843,24,theory(equality)])).
% cnf(1188880,plain,(leq(star(addition(X1,one)),star(addition(X1,X2)))),inference(spm,[status(thm)],[1181622,24,theory(equality)])).
% cnf(1205603,plain,(addition(star(addition(X1,one)),star(addition(X1,X2)))=star(addition(X1,X2))),inference(spm,[status(thm)],[36,1188880,theory(equality)])).
% cnf(1205849,plain,(leq(star(addition(X1,one)),star(star(multiplication(X1,star(X2)))))),inference(spm,[status(thm)],[1188880,8114,theory(equality)])).
% cnf(1206088,plain,(leq(star(addition(X1,one)),star(multiplication(X1,star(X2))))),inference(rw,[status(thm)],[1205849,28074,theory(equality)])).
% cnf(1221219,negated_conjecture,(star(addition(star(esk2_0),star(esk1_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1160320,24,theory(equality)]),56122,theory(equality)]),56141,theory(equality)])).
% cnf(1221517,negated_conjecture,(star(multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(spm,[status(thm)],[28074,1221219,theory(equality)])).
% cnf(1239735,negated_conjecture,(leq(star(addition(addition(esk2_0,star(esk1_0)),one)),star(multiplication(star(esk1_0),star(esk2_0))))),inference(spm,[status(thm)],[1206088,20538,theory(equality)])).
% cnf(1239833,negated_conjecture,(leq(star(addition(esk2_0,star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1239735,22,theory(equality)]),24,theory(equality)]),4095,theory(equality)]),1221517,theory(equality)])).
% cnf(1282307,negated_conjecture,(addition(star(addition(esk2_0,star(esk1_0))),multiplication(star(esk1_0),star(esk2_0)))=multiplication(star(esk1_0),star(esk2_0))),inference(spm,[status(thm)],[36,1239833,theory(equality)])).
% cnf(1299877,negated_conjecture,(addition(multiplication(star(esk1_0),star(esk2_0)),star(addition(esk2_0,star(esk1_0))))=multiplication(star(esk1_0),star(esk2_0))),inference(rw,[status(thm)],[1282307,24,theory(equality)])).
% cnf(1301270,negated_conjecture,(multiplication(multiplication(star(esk1_0),star(esk2_0)),star(esk2_0))=multiplication(addition(star(esk1_0),star(addition(esk2_0,star(esk1_0)))),star(esk2_0))),inference(spm,[status(thm)],[1102861,1299877,theory(equality)])).
% cnf(1302425,negated_conjecture,(multiplication(star(esk1_0),star(esk2_0))=multiplication(addition(star(esk1_0),star(addition(esk2_0,star(esk1_0)))),star(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1301270,18,theory(equality)]),27936,theory(equality)])).
% cnf(1302426,negated_conjecture,(multiplication(star(esk1_0),star(esk2_0))=multiplication(star(addition(esk2_0,star(esk1_0))),star(esk2_0))),inference(rw,[status(thm)],[1302425,56122,theory(equality)])).
% cnf(1340183,plain,(star(addition(X1,X2))=addition(star(addition(X1,X2)),star(addition(X1,one)))),inference(spm,[status(thm)],[24,1205603,theory(equality)])).
% cnf(1341158,plain,(leq(addition(addition(X1,X2),star(addition(X1,one))),star(addition(X1,X2)))),inference(spm,[status(thm)],[6594,1205603,theory(equality)])).
% cnf(1342826,plain,(leq(addition(X2,star(addition(X1,one))),star(addition(X1,X2)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1341158,22,theory(equality)]),55937,theory(equality)])).
% cnf(1819906,negated_conjecture,(leq(multiplication(star(addition(esk2_0,star(addition(esk2_0,star(esk1_0))))),multiplication(star(esk1_0),star(esk2_0))),star(addition(esk2_0,star(addition(esk2_0,star(esk1_0))))))),inference(spm,[status(thm)],[9869,1302426,theory(equality)])).
% cnf(1820680,negated_conjecture,(leq(multiplication(star(esk1_0),star(esk2_0)),star(addition(esk2_0,star(esk1_0))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1819906,55607,theory(equality)]),28074,theory(equality)]),48501,theory(equality)]),1302426,theory(equality)]),55607,theory(equality)]),28074,theory(equality)])).
% cnf(1821161,negated_conjecture,(addition(multiplication(star(esk1_0),star(esk2_0)),star(addition(esk2_0,star(esk1_0))))=star(addition(esk2_0,star(esk1_0)))),inference(spm,[status(thm)],[36,1820680,theory(equality)])).
% cnf(1821162,negated_conjecture,(multiplication(star(esk1_0),star(esk2_0))=star(addition(esk2_0,star(esk1_0)))),inference(rw,[status(thm)],[1821161,1299877,theory(equality)])).
% cnf(2962798,plain,(leq(multiplication(one,star(X1)),star(addition(X1,one)))),inference(spm,[status(thm)],[924303,38297,theory(equality)])).
% cnf(2962867,plain,(addition(multiplication(one,star(X1)),star(addition(X1,one)))=star(addition(X1,one))),inference(spm,[status(thm)],[36,2962798,theory(equality)])).
% cnf(2965135,plain,(multiplication(X1,addition(multiplication(addition(one,one),star(X2)),star(addition(X2,one))))=multiplication(X1,addition(star(X2),star(addition(X2,one))))),inference(spm,[status(thm)],[10424,2962867,theory(equality)])).
% cnf(2967064,plain,(multiplication(X1,star(addition(X2,one)))=multiplication(X1,addition(star(X2),star(addition(X2,one))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2965135,20,theory(equality)]),2962867,theory(equality)])).
% cnf(2967065,plain,(multiplication(X1,star(addition(X2,one)))=multiplication(X1,star(X2))),inference(rw,[status(thm)],[2967064,1181852,theory(equality)])).
% cnf(3381949,plain,(leq(multiplication(star(X1),multiplication(one,star(X1))),star(addition(X1,one)))),inference(spm,[status(thm)],[12009,2967065,theory(equality)])).
% cnf(3382798,plain,(leq(star(X1),star(addition(X1,one)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3381949,55,theory(equality)]),27936,theory(equality)])).
% cnf(3382826,plain,(addition(star(X1),star(addition(X1,one)))=star(addition(X1,one))),inference(spm,[status(thm)],[36,3382798,theory(equality)])).
% cnf(3382845,plain,(star(X1)=star(addition(X1,one))),inference(rw,[status(thm)],[3382826,1181852,theory(equality)])).
% cnf(3385701,plain,(leq(addition(X1,star(X2)),star(addition(X2,X1)))),inference(rw,[status(thm)],[1342826,3382845,theory(equality)])).
% cnf(3385723,plain,(addition(star(X1),star(addition(X1,X2)))=star(addition(X1,X2))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1340183,3382845,theory(equality)]),24,theory(equality)])).
% cnf(3445502,plain,(leq(star(addition(X1,X2)),star(addition(addition(X1,X2),star(X1))))),inference(spm,[status(thm)],[3385701,3385723,theory(equality)])).
% cnf(3445947,plain,(leq(star(addition(X1,X2)),star(addition(X2,star(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[3445502,22,theory(equality)]),6579,theory(equality)])).
% cnf(3616500,negated_conjecture,(leq(star(addition(esk1_0,esk2_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(spm,[status(thm)],[3445947,1821162,theory(equality)])).
% cnf(3617080,negated_conjecture,(leq(star(addition(esk2_0,esk1_0)),multiplication(star(esk1_0),star(esk2_0)))),inference(rw,[status(thm)],[3616500,24,theory(equality)])).
% cnf(3617081,negated_conjecture,($false),inference(sr,[status(thm)],[3617080,50,theory(equality)])).
% cnf(3617082,negated_conjecture,($false),3617081,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 34822
% # ...of these trivial : 16020
% # ...subsumed : 13969
% # ...remaining for further processing: 4833
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 4
% # Backward-rewritten : 958
% # Generated clauses : 2076542
% # ...of the previous two non-trivial : 1373495
% # Contextual simplify-reflections : 0
% # Paramodulations : 2076542
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 3871
% # Positive orientable unit clauses: 2915
% # Positive unorientable unit clauses: 13
% # Negative unit clauses : 1
% # Non-unit-clauses : 942
% # Current number of unprocessed clauses: 1030649
% # ...number of literals in the above : 1422045
% # Clause-clause subsumption calls (NU) : 308659
% # Rec. Clause-clause subsumption calls : 308659
% # Unit Clause-clause subsumption calls : 6619
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 59610
% # Indexed BW rewrite successes : 660
% # Backwards rewriting index: 1298 leaves, 4.79+/-6.738 terms/leaf
% # Paramod-from index: 650 leaves, 4.52+/-6.104 terms/leaf
% # Paramod-into index: 1175 leaves, 4.69+/-6.578 terms/leaf
% # -------------------------------------------------
% # User time : 71.209 s
% # System time : 2.609 s
% # Total time : 73.818 s
% # Maximum resident set size: 0 pages
% PrfWatch: 122.75 CPU 126.08 WC
% FINAL PrfWatch: 122.75 CPU 126.08 WC
% SZS output end Solution for /tmp/SystemOnTPTP21008/KLE046+1.tptp
%
%------------------------------------------------------------------------------