TSTP Solution File: KLE036+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE036+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 07:46:39 EST 2010
% Result : Theorem 62.77s
% Output : Solution 62.77s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP15349/KLE036+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP15349/KLE036+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP15349/KLE036+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 15481
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.03 WC
% PrfWatch: 9.91 CPU 10.04 WC
% PrfWatch: 11.90 CPU 12.05 WC
% PrfWatch: 13.90 CPU 14.05 WC
% PrfWatch: 15.88 CPU 16.06 WC
% PrfWatch: 17.88 CPU 18.07 WC
% PrfWatch: 19.87 CPU 20.07 WC
% PrfWatch: 21.69 CPU 22.08 WC
% PrfWatch: 23.54 CPU 24.09 WC
% PrfWatch: 25.52 CPU 26.09 WC
% PrfWatch: 27.50 CPU 28.10 WC
% PrfWatch: 29.48 CPU 30.11 WC
% PrfWatch: 31.42 CPU 32.11 WC
% PrfWatch: 33.38 CPU 34.12 WC
% PrfWatch: 35.37 CPU 36.13 WC
% # Preprocessing time : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 37.36 CPU 38.13 WC
% PrfWatch: 39.35 CPU 40.14 WC
% PrfWatch: 41.35 CPU 42.15 WC
% PrfWatch: 43.34 CPU 44.15 WC
% PrfWatch: 45.34 CPU 46.16 WC
% PrfWatch: 47.32 CPU 48.16 WC
% PrfWatch: 49.32 CPU 50.17 WC
% PrfWatch: 51.32 CPU 52.18 WC
% PrfWatch: 53.31 CPU 54.18 WC
% PrfWatch: 55.30 CPU 56.19 WC
% PrfWatch: 57.30 CPU 58.20 WC
% PrfWatch: 59.28 CPU 60.20 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:leq(addition(one,multiplication(X1,star(X1))),star(X1)),file('/tmp/SRASS.s.p', star_unfold_right)).
% fof(2, axiom,![X1]:leq(addition(one,multiplication(star(X1),X1)),star(X1)),file('/tmp/SRASS.s.p', star_unfold_left)).
% fof(3, 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(4, 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(5, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(6, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(7, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(8, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(9, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(10, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(11, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(12, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(13, axiom,![X1]:![X2]:![X3]:multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3),file('/tmp/SRASS.s.p', multiplicative_associativity)).
% fof(17, conjecture,![X4]:leq(star(X4),addition(one,multiplication(X4,star(X4)))),file('/tmp/SRASS.s.p', goals)).
% fof(18, negated_conjecture,~(![X4]:leq(star(X4),addition(one,multiplication(X4,star(X4))))),inference(assume_negation,[status(cth)],[17])).
% fof(19, plain,![X2]:leq(addition(one,multiplication(X2,star(X2))),star(X2)),inference(variable_rename,[status(thm)],[1])).
% cnf(20,plain,(leq(addition(one,multiplication(X1,star(X1))),star(X1))),inference(split_conjunct,[status(thm)],[19])).
% fof(21, plain,![X2]:leq(addition(one,multiplication(star(X2),X2)),star(X2)),inference(variable_rename,[status(thm)],[2])).
% cnf(22,plain,(leq(addition(one,multiplication(star(X1),X1)),star(X1))),inference(split_conjunct,[status(thm)],[21])).
% fof(23, plain,![X1]:![X2]:![X3]:(~(leq(addition(multiplication(X1,X2),X3),X2))|leq(multiplication(star(X1),X3),X2)),inference(fof_nnf,[status(thm)],[3])).
% fof(24, plain,![X4]:![X5]:![X6]:(~(leq(addition(multiplication(X4,X5),X6),X5))|leq(multiplication(star(X4),X6),X5)),inference(variable_rename,[status(thm)],[23])).
% cnf(25,plain,(leq(multiplication(star(X1),X2),X3)|~leq(addition(multiplication(X1,X3),X2),X3)),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X1]:![X2]:![X3]:(~(leq(addition(multiplication(X1,X2),X3),X1))|leq(multiplication(X3,star(X2)),X1)),inference(fof_nnf,[status(thm)],[4])).
% fof(27, plain,![X4]:![X5]:![X6]:(~(leq(addition(multiplication(X4,X5),X6),X4))|leq(multiplication(X6,star(X5)),X4)),inference(variable_rename,[status(thm)],[26])).
% cnf(28,plain,(leq(multiplication(X1,star(X2)),X3)|~leq(addition(multiplication(X3,X2),X1),X3)),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[5])).
% cnf(30,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[29])).
% fof(31, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[6])).
% cnf(32,plain,(multiplication(one,X1)=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)],[7])).
% 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,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[8])).
% cnf(38,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[9])).
% cnf(40,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[10])).
% cnf(42,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[11])).
% cnf(44,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[12])).
% cnf(46,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X4]:![X5]:![X6]:multiplication(X4,multiplication(X5,X6))=multiplication(multiplication(X4,X5),X6),inference(variable_rename,[status(thm)],[13])).
% cnf(48,plain,(multiplication(X1,multiplication(X2,X3))=multiplication(multiplication(X1,X2),X3)),inference(split_conjunct,[status(thm)],[47])).
% fof(55, negated_conjecture,?[X4]:~(leq(star(X4),addition(one,multiplication(X4,star(X4))))),inference(fof_nnf,[status(thm)],[18])).
% fof(56, negated_conjecture,?[X5]:~(leq(star(X5),addition(one,multiplication(X5,star(X5))))),inference(variable_rename,[status(thm)],[55])).
% fof(57, negated_conjecture,~(leq(star(esk1_0),addition(one,multiplication(esk1_0,star(esk1_0))))),inference(skolemize,[status(esa)],[56])).
% cnf(58,negated_conjecture,(~leq(star(esk1_0),addition(one,multiplication(esk1_0,star(esk1_0))))),inference(split_conjunct,[status(thm)],[57])).
% cnf(84,plain,(addition(X1,addition(X2,X3))=addition(X3,addition(X1,X2))),inference(spm,[status(thm)],[42,44,theory(equality)])).
% cnf(88,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[44,46,theory(equality)])).
% cnf(89,plain,(addition(addition(X2,X1),X3)=addition(X1,addition(X2,X3))),inference(spm,[status(thm)],[44,42,theory(equality)])).
% cnf(94,plain,(addition(X2,addition(X1,X3))=addition(X1,addition(X2,X3))),inference(rw,[status(thm)],[89,44,theory(equality)])).
% cnf(98,plain,(leq(X1,X1)),inference(spm,[status(thm)],[35,46,theory(equality)])).
% cnf(105,plain,(leq(multiplication(X1,star(one)),X2)|~leq(addition(X2,X1),X2)),inference(spm,[status(thm)],[28,30,theory(equality)])).
% cnf(107,plain,(leq(multiplication(multiplication(X1,X2),star(X2)),X1)|~leq(multiplication(X1,X2),X1)),inference(spm,[status(thm)],[28,46,theory(equality)])).
% cnf(108,plain,(leq(multiplication(X1,star(X2)),X3)|~leq(addition(X1,multiplication(X3,X2)),X3)),inference(spm,[status(thm)],[28,42,theory(equality)])).
% cnf(111,plain,(leq(multiplication(X1,multiplication(X2,star(X2))),X1)|~leq(multiplication(X1,X2),X1)),inference(rw,[status(thm)],[107,48,theory(equality)])).
% cnf(118,plain,(leq(multiplication(star(X1),multiplication(X1,X2)),X2)|~leq(multiplication(X1,X2),X2)),inference(spm,[status(thm)],[25,46,theory(equality)])).
% cnf(119,plain,(leq(multiplication(star(X1),X2),X3)|~leq(addition(X2,multiplication(X1,X3)),X3)),inference(spm,[status(thm)],[25,42,theory(equality)])).
% cnf(133,plain,(addition(multiplication(X1,X2),X1)=multiplication(X1,addition(X2,one))),inference(spm,[status(thm)],[38,30,theory(equality)])).
% cnf(163,plain,(leq(multiplication(star(X1),multiplication(X2,X3)),X3)|~leq(multiplication(addition(X1,X2),X3),X3)),inference(spm,[status(thm)],[25,40,theory(equality)])).
% cnf(167,plain,(addition(multiplication(X1,X2),X2)=multiplication(addition(X1,one),X2)),inference(spm,[status(thm)],[40,32,theory(equality)])).
% cnf(191,plain,(addition(addition(one,multiplication(X1,star(X1))),star(X1))=star(X1)),inference(spm,[status(thm)],[36,20,theory(equality)])).
% cnf(194,plain,(leq(addition(one,star(one)),star(one))),inference(spm,[status(thm)],[20,32,theory(equality)])).
% cnf(195,plain,(addition(one,addition(multiplication(X1,star(X1)),star(X1)))=star(X1)),inference(rw,[status(thm)],[191,44,theory(equality)])).
% cnf(197,plain,(addition(addition(one,multiplication(star(X1),X1)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,22,theory(equality)])).
% cnf(200,plain,(addition(one,addition(multiplication(star(X1),X1),star(X1)))=star(X1)),inference(rw,[status(thm)],[197,44,theory(equality)])).
% cnf(259,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[35,88,theory(equality)])).
% cnf(332,plain,(addition(addition(one,star(one)),star(one))=star(one)),inference(spm,[status(thm)],[36,194,theory(equality)])).
% cnf(333,plain,(addition(one,star(one))=star(one)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[332,44,theory(equality)]),46,theory(equality)])).
% cnf(413,plain,(leq(X1,addition(X3,addition(X1,X2)))),inference(spm,[status(thm)],[259,84,theory(equality)])).
% cnf(1262,plain,(addition(X1,multiplication(X1,X2))=multiplication(X1,addition(X2,one))),inference(rw,[status(thm)],[133,42,theory(equality)])).
% cnf(1293,plain,(leq(X1,addition(X2,multiplication(X1,addition(X3,one))))),inference(spm,[status(thm)],[413,1262,theory(equality)])).
% cnf(1365,plain,(addition(X2,multiplication(X1,X2))=multiplication(addition(X1,one),X2)),inference(rw,[status(thm)],[167,42,theory(equality)])).
% cnf(1370,plain,(multiplication(addition(X1,one),multiplication(X1,X2))=multiplication(X1,addition(X2,multiplication(X1,X2)))),inference(spm,[status(thm)],[38,1365,theory(equality)])).
% cnf(1380,plain,(leq(X1,multiplication(addition(X2,one),X1))),inference(spm,[status(thm)],[259,1365,theory(equality)])).
% cnf(1397,plain,(leq(X1,addition(X2,multiplication(addition(X3,one),X1)))),inference(spm,[status(thm)],[413,1365,theory(equality)])).
% cnf(1407,plain,(multiplication(addition(X1,one),multiplication(X1,X2))=multiplication(X1,multiplication(addition(X1,one),X2))),inference(rw,[status(thm)],[1370,1365,theory(equality)])).
% cnf(2717,plain,(leq(multiplication(X1,star(one)),X1)|~leq(X1,X1)),inference(spm,[status(thm)],[105,46,theory(equality)])).
% cnf(2732,plain,(leq(multiplication(X1,star(one)),X1)|$false),inference(rw,[status(thm)],[2717,98,theory(equality)])).
% cnf(2733,plain,(leq(multiplication(X1,star(one)),X1)),inference(cn,[status(thm)],[2732,theory(equality)])).
% cnf(2740,plain,(leq(star(one),one)),inference(spm,[status(thm)],[2733,32,theory(equality)])).
% cnf(2745,plain,(addition(star(one),one)=one),inference(spm,[status(thm)],[36,2740,theory(equality)])).
% cnf(2747,plain,(star(one)=one),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2745,42,theory(equality)]),333,theory(equality)])).
% cnf(2781,plain,(leq(X1,X2)|~leq(addition(X2,X1),X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[105,2747,theory(equality)]),30,theory(equality)])).
% cnf(3133,plain,(leq(X1,X2)|~leq(addition(X1,X2),X2)),inference(spm,[status(thm)],[2781,42,theory(equality)])).
% cnf(3261,plain,(addition(addition(X1,one),multiplication(X1,multiplication(addition(X1,one),X2)))=multiplication(addition(X1,one),addition(multiplication(X1,X2),one))),inference(spm,[status(thm)],[1262,1407,theory(equality)])).
% cnf(3293,plain,(addition(X1,addition(one,multiplication(X1,multiplication(addition(X1,one),X2))))=multiplication(addition(X1,one),addition(multiplication(X1,X2),one))),inference(rw,[status(thm)],[3261,44,theory(equality)])).
% cnf(4042,plain,(leq(multiplication(X1,star(X2)),X1)|~leq(multiplication(X1,addition(X2,one)),X1)),inference(spm,[status(thm)],[108,1262,theory(equality)])).
% cnf(4060,plain,(leq(X1,addition(X2,multiplication(X1,addition(one,X3))))),inference(spm,[status(thm)],[1293,42,theory(equality)])).
% cnf(4093,plain,(leq(X1,addition(X2,multiplication(addition(one,X3),X1)))),inference(spm,[status(thm)],[1397,42,theory(equality)])).
% cnf(5924,plain,(leq(X1,multiplication(addition(one,X2),addition(X3,X1)))),inference(spm,[status(thm)],[4093,38,theory(equality)])).
% cnf(6838,plain,(leq(X1,multiplication(addition(one,X2),addition(X1,X3)))),inference(spm,[status(thm)],[5924,42,theory(equality)])).
% cnf(7648,plain,(addition(one,multiplication(addition(X1,one),star(X1)))=star(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[195,42,theory(equality)]),1365,theory(equality)])).
% cnf(7651,plain,(addition(one,star(X1))=star(X1)),inference(spm,[status(thm)],[88,7648,theory(equality)])).
% cnf(7658,plain,(leq(one,multiplication(addition(X1,one),star(X1)))|~leq(star(X1),multiplication(addition(X1,one),star(X1)))),inference(spm,[status(thm)],[3133,7648,theory(equality)])).
% cnf(7717,plain,(leq(multiplication(star(addition(X1,one)),one),star(X1))|~leq(star(X1),star(X1))),inference(spm,[status(thm)],[119,7648,theory(equality)])).
% cnf(7749,plain,(leq(one,multiplication(addition(X1,one),star(X1)))|$false),inference(rw,[status(thm)],[7658,1380,theory(equality)])).
% cnf(7750,plain,(leq(one,multiplication(addition(X1,one),star(X1)))),inference(cn,[status(thm)],[7749,theory(equality)])).
% cnf(7762,plain,(leq(star(addition(X1,one)),star(X1))|~leq(star(X1),star(X1))),inference(rw,[status(thm)],[7717,30,theory(equality)])).
% cnf(7763,plain,(leq(star(addition(X1,one)),star(X1))|$false),inference(rw,[status(thm)],[7762,98,theory(equality)])).
% cnf(7764,plain,(leq(star(addition(X1,one)),star(X1))),inference(cn,[status(thm)],[7763,theory(equality)])).
% cnf(7783,plain,(addition(star(X1),X2)=addition(one,addition(star(X1),X2))),inference(spm,[status(thm)],[44,7651,theory(equality)])).
% cnf(7855,plain,(leq(X1,multiplication(star(X2),addition(X1,X3)))),inference(spm,[status(thm)],[6838,7651,theory(equality)])).
% cnf(7863,plain,(leq(X1,addition(X2,multiplication(X1,star(X3))))),inference(spm,[status(thm)],[4060,7651,theory(equality)])).
% cnf(8499,plain,(addition(one,multiplication(star(X1),addition(X2,one)))=multiplication(star(X1),addition(X2,one))),inference(spm,[status(thm)],[7783,1262,theory(equality)])).
% cnf(8638,plain,(addition(star(addition(X1,one)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,7764,theory(equality)])).
% cnf(8790,plain,(addition(one,multiplication(addition(X1,one),star(X1)))=multiplication(addition(X1,one),star(X1))),inference(spm,[status(thm)],[36,7750,theory(equality)])).
% cnf(8798,plain,(star(X1)=multiplication(addition(X1,one),star(X1))),inference(rw,[status(thm)],[8790,7648,theory(equality)])).
% cnf(8805,plain,(addition(star(X1),multiplication(X2,star(X1)))=multiplication(addition(addition(X1,one),X2),star(X1))),inference(spm,[status(thm)],[40,8798,theory(equality)])).
% cnf(8809,plain,(addition(addition(X1,one),star(X1))=multiplication(addition(X1,one),addition(star(X1),one))),inference(spm,[status(thm)],[1262,8798,theory(equality)])).
% cnf(8849,plain,(multiplication(addition(one,X1),star(X1))=star(X1)),inference(spm,[status(thm)],[8798,42,theory(equality)])).
% cnf(8853,plain,(multiplication(addition(X2,one),star(X1))=multiplication(addition(addition(X1,one),X2),star(X1))),inference(rw,[status(thm)],[8805,1365,theory(equality)])).
% cnf(8854,plain,(multiplication(addition(X2,one),star(X1))=multiplication(addition(X1,addition(one,X2)),star(X1))),inference(rw,[status(thm)],[8853,44,theory(equality)])).
% cnf(8857,plain,(addition(X1,star(X1))=multiplication(addition(X1,one),addition(star(X1),one))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[8809,44,theory(equality)]),7651,theory(equality)])).
% cnf(8858,plain,(addition(X1,star(X1))=star(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[8857,42,theory(equality)]),7651,theory(equality)]),8798,theory(equality)])).
% cnf(8963,plain,(addition(X1,star(X2))=addition(X2,addition(X1,star(X2)))),inference(spm,[status(thm)],[94,8858,theory(equality)])).
% cnf(9776,plain,(multiplication(star(X1),star(star(X1)))=star(star(X1))),inference(spm,[status(thm)],[8849,7651,theory(equality)])).
% cnf(10476,plain,(addition(star(X1),star(addition(X1,one)))=
% PrfWatch: 61.27 CPU 62.21 WC
% # Cannot determine problem status: Terminated by signal. Cleaning up
% /home/graph/tptp/Systems/EP---1.2/eproof: line 62: kill: (-15482) - No such process
% star(X1)),inference(rw,[status(thm)],[8638,42,theory(equality)])).
% cnf(10843,plain,(leq(multiplication(star(X1),multiplication(one,star(X1))),star(X1))|~leq(star(X1),star(X1))),inference(spm,[status(thm)],[163,8798,theory(equality)])).
% cnf(10884,plain,(leq(multiplication(star(X1),star(X1)),star(X1))|~leq(star(X1),star(X1))),inference(rw,[status(thm)],[10843,32,theory(equality)])).
% cnf(10885,plain,(leq(multiplication(star(X1),star(X1)),star(X1))|$false),inference(rw,[status(thm)],[10884,98,theory(equality)])).
% cnf(10886,plain,(leq(multiplication(star(X1),star(X1)),star(X1))),inference(cn,[status(thm)],[10885,theory(equality)])).
% cnf(12684,plain,(leq(X1,multiplication(star(X2),star(X1)))),inference(spm,[status(thm)],[7855,8858,theory(equality)])).
% cnf(12703,plain,(addition(X1,multiplication(star(X2),star(X1)))=multiplication(star(X2),star(X1))),inference(spm,[status(thm)],[36,12684,theory(equality)])).
% cnf(12826,plain,(addition(X1,addition(X2,multiplication(X1,star(X3))))=addition(X2,multiplication(X1,star(X3)))),inference(spm,[status(thm)],[36,7863,theory(equality)])).
% cnf(13593,plain,(multiplication(star(X1),addition(X1,one))=star(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[200,42,theory(equality)]),1262,theory(equality)]),8499,theory(equality)])).
% cnf(13653,plain,(multiplication(star(X1),addition(one,X1))=star(X1)),inference(spm,[status(thm)],[13593,42,theory(equality)])).
% cnf(13792,plain,(multiplication(star(addition(X1,star(one))),addition(X1,star(one)))=star(addition(X1,star(one)))),inference(spm,[status(thm)],[13653,8963,theory(equality)])).
% cnf(13818,plain,(multiplication(star(star(X1)),star(X1))=star(star(X1))),inference(spm,[status(thm)],[13653,7651,theory(equality)])).
% cnf(13875,plain,(multiplication(star(addition(X1,one)),addition(X1,one))=star(addition(X1,star(one)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[13792,2747,theory(equality)]),2747,theory(equality)])).
% cnf(13876,plain,(multiplication(star(addition(X1,one)),addition(X1,one))=star(addition(X1,one))),inference(rw,[status(thm)],[13875,2747,theory(equality)])).
% cnf(17816,plain,(leq(multiplication(star(X1),multiplication(star(X1),star(star(X1)))),star(X1))),inference(spm,[status(thm)],[111,10886,theory(equality)])).
% cnf(17824,plain,(leq(star(star(X1)),star(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17816,9776,theory(equality)]),9776,theory(equality)])).
% cnf(17831,plain,(addition(star(star(X1)),star(X1))=star(X1)),inference(spm,[status(thm)],[36,17824,theory(equality)])).
% cnf(17850,plain,(star(star(X1))=star(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[17831,42,theory(equality)]),8858,theory(equality)])).
% cnf(17930,plain,(multiplication(star(X1),star(X1))=star(star(X1))),inference(rw,[status(thm)],[13818,17850,theory(equality)])).
% cnf(17931,plain,(multiplication(star(X1),star(X1))=star(X1)),inference(rw,[status(thm)],[17930,17850,theory(equality)])).
% cnf(18034,plain,(addition(star(X1),multiplication(star(X1),X2))=multiplication(star(X1),addition(star(X1),X2))),inference(spm,[status(thm)],[38,17931,theory(equality)])).
% cnf(18093,plain,(multiplication(star(X1),addition(X2,one))=multiplication(star(X1),addition(star(X1),X2))),inference(rw,[status(thm)],[18034,1262,theory(equality)])).
% cnf(22653,plain,(multiplication(star(X1),multiplication(addition(X2,one),star(X1)))=multiplication(star(X1),addition(multiplication(X2,star(X1)),one))),inference(spm,[status(thm)],[18093,1365,theory(equality)])).
% cnf(28640,plain,(multiplication(addition(X1,multiplication(star(X2),star(one))),star(X1))=multiplication(addition(multiplication(star(X2),star(one)),one),star(X1))),inference(spm,[status(thm)],[8854,12703,theory(equality)])).
% cnf(28768,plain,(multiplication(addition(X1,star(X2)),star(X1))=multiplication(addition(multiplication(star(X2),star(one)),one),star(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[28640,2747,theory(equality)]),30,theory(equality)])).
% cnf(28769,plain,(multiplication(addition(X1,star(X2)),star(X1))=multiplication(star(X2),star(X1))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[28768,2747,theory(equality)]),30,theory(equality)]),42,theory(equality)]),7651,theory(equality)])).
% cnf(29154,plain,(multiplication(star(X1),star(star(X1)))=multiplication(star(addition(X1,one)),star(star(X1)))),inference(spm,[status(thm)],[28769,10476,theory(equality)])).
% cnf(29237,plain,(star(X1)=multiplication(star(addition(X1,one)),star(star(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[29154,17850,theory(equality)]),17931,theory(equality)])).
% cnf(29238,plain,(star(X1)=multiplication(star(addition(X1,one)),star(X1))),inference(rw,[status(thm)],[29237,17850,theory(equality)])).
% cnf(70620,plain,(leq(multiplication(star(addition(X1,one)),star(X1)),star(addition(X1,one)))|~leq(star(addition(X1,one)),star(addition(X1,one)))),inference(spm,[status(thm)],[4042,13876,theory(equality)])).
% cnf(70645,plain,(leq(star(X1),star(addition(X1,one)))|~leq(star(addition(X1,one)),star(addition(X1,one)))),inference(rw,[status(thm)],[70620,29238,theory(equality)])).
% cnf(70646,plain,(leq(star(X1),star(addition(X1,one)))|$false),inference(rw,[status(thm)],[70645,98,theory(equality)])).
% cnf(70647,plain,(leq(star(X1),star(addition(X1,one)))),inference(cn,[status(thm)],[70646,theory(equality)])).
% cnf(70800,plain,(addition(star(X1),star(addition(X1,one)))=star(addition(X1,one))),inference(spm,[status(thm)],[36,70647,theory(equality)])).
% cnf(70809,plain,(star(X1)=star(addition(X1,one))),inference(rw,[status(thm)],[70800,10476,theory(equality)])).
% cnf(128331,plain,(multiplication(star(X1),addition(one,multiplication(X2,star(X1))))=multiplication(star(X1),multiplication(addition(X2,one),star(X1)))),inference(rw,[status(thm)],[22653,42,theory(equality)])).
% cnf(740897,plain,(addition(X1,addition(one,multiplication(X1,multiplication(addition(X1,one),X2))))=multiplication(addition(X1,one),addition(one,multiplication(X1,X2)))),inference(rw,[status(thm)],[3293,42,theory(equality)])).
% cnf(742329,plain,(addition(X1,addition(one,multiplication(X1,star(X1))))=multiplication(addition(X1,one),addition(one,multiplication(X1,star(X1))))),inference(spm,[status(thm)],[740897,8798,theory(equality)])).
% cnf(743779,plain,(addition(one,multiplication(X1,star(X1)))=multiplication(addition(X1,one),addition(one,multiplication(X1,star(X1))))),inference(rw,[status(thm)],[742329,12826,theory(equality)])).
% cnf(2071448,plain,(leq(multiplication(star(addition(X1,one)),addition(one,multiplication(X1,star(X1)))),addition(one,multiplication(X1,star(X1))))|~leq(addition(one,multiplication(X1,star(X1))),addition(one,multiplication(X1,star(X1))))),inference(spm,[status(thm)],[118,743779,theory(equality)])).
% cnf(2072337,plain,(leq(star(X1),addition(one,multiplication(X1,star(X1))))|~leq(addition(one,multiplication(X1,star(X1))),addition(one,multiplication(X1,star(X1))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2071448,70809,theory(equality)]),128331,theory(equality)]),8798,theory(equality)]),17931,theory(equality)])).
% cnf(2072338,plain,(leq(star(X1),addition(one,multiplication(X1,star(X1))))|$false),inference(rw,[status(thm)],[2072337,98,theory(equality)])).
% cnf(2072339,plain,(leq(star(X1),addition(one,multiplication(X1,star(X1))))),inference(cn,[status(thm)],[2072338,theory(equality)])).
% cnf(2074386,negated_conjecture,($false),inference(rw,[status(thm)],[58,2072339,theory(equality)])).
% cnf(2074387,negated_conjecture,($false),inference(cn,[status(thm)],[2074386,theory(equality)])).
% cnf(2074388,negated_conjecture,($false),2074387,['proof']).
% # SZS output end CNFRefutation
% FINAL PrfWatch: 61.27 CPU 62.59 WC
% SZS output end Solution for /tmp/SystemOnTPTP15349/KLE036+1.tptp
%
%------------------------------------------------------------------------------