TSTP Solution File: KLE133+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE133+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 08:09:13 EST 2010
% Result : Theorem 0.98s
% Output : Solution 0.98s
% 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/SystemOnTPTP28383/KLE133+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP28383/KLE133+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28383/KLE133+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 28479
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(5, axiom,![X4]:![X5]:forward_diamond(X4,X5)=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', forward_diamond)).
% fof(6, axiom,![X4]:![X5]:domain_difference(X4,X5)=multiplication(domain(X4),antidomain(X5)),file('/tmp/SRASS.s.p', domain_difference)).
% 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]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(9, axiom,![X4]:domain(X4)=antidomain(antidomain(X4)),file('/tmp/SRASS.s.p', domain4)).
% fof(12, axiom,![X1]:addition(X1,zero)=X1,file('/tmp/SRASS.s.p', additive_identity)).
% fof(15, axiom,![X1]:multiplication(X1,zero)=zero,file('/tmp/SRASS.s.p', right_annihilation)).
% fof(16, axiom,![X1]:multiplication(zero,X1)=zero,file('/tmp/SRASS.s.p', left_annihilation)).
% fof(19, axiom,![X4]:multiplication(antidomain(X4),X4)=zero,file('/tmp/SRASS.s.p', domain1)).
% fof(22, axiom,![X4]:addition(antidomain(antidomain(X4)),antidomain(X4))=one,file('/tmp/SRASS.s.p', domain3)).
% fof(24, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(25, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(29, conjecture,![X4]:((![X5]:addition(domain(X5),forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5)))))=forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))&![X6]:forward_diamond(X4,forward_diamond(X4,domain(X6)))=forward_diamond(X4,domain(X6)))=>![X7]:addition(forward_diamond(X4,domain(X7)),forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))))=forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7))))),file('/tmp/SRASS.s.p', goals)).
% fof(30, negated_conjecture,~(![X4]:((![X5]:addition(domain(X5),forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5)))))=forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))&![X6]:forward_diamond(X4,forward_diamond(X4,domain(X6)))=forward_diamond(X4,domain(X6)))=>![X7]:addition(forward_diamond(X4,domain(X7)),forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))))=forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))))),inference(assume_negation,[status(cth)],[29])).
% fof(31, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(32,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[31])).
% fof(40, plain,![X6]:![X7]:forward_diamond(X6,X7)=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[5])).
% cnf(41,plain,(forward_diamond(X1,X2)=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[40])).
% fof(42, plain,![X6]:![X7]:domain_difference(X6,X7)=multiplication(domain(X6),antidomain(X7)),inference(variable_rename,[status(thm)],[6])).
% cnf(43,plain,(domain_difference(X1,X2)=multiplication(domain(X1),antidomain(X2))),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[7])).
% cnf(45,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[44])).
% fof(46, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[8])).
% cnf(47,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X5]:domain(X5)=antidomain(antidomain(X5)),inference(variable_rename,[status(thm)],[9])).
% cnf(49,plain,(domain(X1)=antidomain(antidomain(X1))),inference(split_conjunct,[status(thm)],[48])).
% fof(54, plain,![X2]:addition(X2,zero)=X2,inference(variable_rename,[status(thm)],[12])).
% cnf(55,plain,(addition(X1,zero)=X1),inference(split_conjunct,[status(thm)],[54])).
% fof(62, plain,![X2]:multiplication(X2,zero)=zero,inference(variable_rename,[status(thm)],[15])).
% cnf(63,plain,(multiplication(X1,zero)=zero),inference(split_conjunct,[status(thm)],[62])).
% fof(64, plain,![X2]:multiplication(zero,X2)=zero,inference(variable_rename,[status(thm)],[16])).
% cnf(65,plain,(multiplication(zero,X1)=zero),inference(split_conjunct,[status(thm)],[64])).
% fof(70, plain,![X5]:multiplication(antidomain(X5),X5)=zero,inference(variable_rename,[status(thm)],[19])).
% cnf(71,plain,(multiplication(antidomain(X1),X1)=zero),inference(split_conjunct,[status(thm)],[70])).
% fof(76, plain,![X5]:addition(antidomain(antidomain(X5)),antidomain(X5))=one,inference(variable_rename,[status(thm)],[22])).
% cnf(77,plain,(addition(antidomain(antidomain(X1)),antidomain(X1))=one),inference(split_conjunct,[status(thm)],[76])).
% fof(80, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[24])).
% cnf(81,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[80])).
% fof(82, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[25])).
% cnf(83,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[82])).
% fof(90, negated_conjecture,?[X4]:((![X5]:addition(domain(X5),forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5)))))=forward_diamond(star(X4),domain_difference(domain(X5),forward_diamond(X4,domain(X5))))&![X6]:forward_diamond(X4,forward_diamond(X4,domain(X6)))=forward_diamond(X4,domain(X6)))&?[X7]:~(addition(forward_diamond(X4,domain(X7)),forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))))=forward_diamond(star(X4),domain_difference(domain(X7),forward_diamond(X4,domain(X7)))))),inference(fof_nnf,[status(thm)],[30])).
% fof(91, negated_conjecture,?[X8]:((![X9]:addition(domain(X9),forward_diamond(star(X8),domain_difference(domain(X9),forward_diamond(X8,domain(X9)))))=forward_diamond(star(X8),domain_difference(domain(X9),forward_diamond(X8,domain(X9))))&![X10]:forward_diamond(X8,forward_diamond(X8,domain(X10)))=forward_diamond(X8,domain(X10)))&?[X11]:~(addition(forward_diamond(X8,domain(X11)),forward_diamond(star(X8),domain_difference(domain(X11),forward_diamond(X8,domain(X11)))))=forward_diamond(star(X8),domain_difference(domain(X11),forward_diamond(X8,domain(X11)))))),inference(variable_rename,[status(thm)],[90])).
% fof(92, negated_conjecture,((![X9]:addition(domain(X9),forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9)))))=forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9))))&![X10]:forward_diamond(esk1_0,forward_diamond(esk1_0,domain(X10)))=forward_diamond(esk1_0,domain(X10)))&~(addition(forward_diamond(esk1_0,domain(esk2_0)),forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))))=forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))))),inference(skolemize,[status(esa)],[91])).
% fof(93, negated_conjecture,![X9]:![X10]:((forward_diamond(esk1_0,forward_diamond(esk1_0,domain(X10)))=forward_diamond(esk1_0,domain(X10))&addition(domain(X9),forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9)))))=forward_diamond(star(esk1_0),domain_difference(domain(X9),forward_diamond(esk1_0,domain(X9)))))&~(addition(forward_diamond(esk1_0,domain(esk2_0)),forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))))=forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))))),inference(shift_quantors,[status(thm)],[92])).
% cnf(94,negated_conjecture,(addition(forward_diamond(esk1_0,domain(esk2_0)),forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0)))))!=forward_diamond(star(esk1_0),domain_difference(domain(esk2_0),forward_diamond(esk1_0,domain(esk2_0))))),inference(split_conjunct,[status(thm)],[93])).
% cnf(95,negated_conjecture,(addition(domain(X1),forward_diamond(star(esk1_0),domain_difference(domain(X1),forward_diamond(esk1_0,domain(X1)))))=forward_diamond(star(esk1_0),domain_difference(domain(X1),forward_diamond(esk1_0,domain(X1))))),inference(split_conjunct,[status(thm)],[93])).
% cnf(96,negated_conjecture,(forward_diamond(esk1_0,forward_diamond(esk1_0,domain(X1)))=forward_diamond(esk1_0,domain(X1))),inference(split_conjunct,[status(thm)],[93])).
% cnf(99,plain,(antidomain(antidomain(multiplication(X1,antidomain(antidomain(X2)))))=forward_diamond(X1,X2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[41,49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(102,plain,(multiplication(antidomain(antidomain(X1)),antidomain(X2))=domain_difference(X1,X2)),inference(rw,[status(thm)],[43,49,theory(equality)]),['unfolding']).
% cnf(103,negated_conjecture,(forward_diamond(esk1_0,forward_diamond(esk1_0,antidomain(antidomain(X1))))=forward_diamond(esk1_0,antidomain(antidomain(X1)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[96,49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(104,negated_conjecture,(addition(antidomain(antidomain(X1)),forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(X1)),forward_diamond(esk1_0,antidomain(antidomain(X1))))))=forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(X1)),forward_diamond(esk1_0,antidomain(antidomain(X1)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[95,49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(106,negated_conjecture,(addition(forward_diamond(esk1_0,antidomain(antidomain(esk2_0))),forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(esk2_0)),forward_diamond(esk1_0,antidomain(antidomain(esk2_0))))))!=forward_diamond(star(esk1_0),domain_difference(antidomain(antidomain(esk2_0)),forward_diamond(esk1_0,antidomain(antidomain(esk2_0)))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[94,49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),49,theory(equality)]),['unfolding']).
% cnf(110,negated_conjecture,(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))=antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[103,99,theory(equality)]),99,theory(equality)]),99,theory(equality)]),['unfolding']).
% cnf(111,negated_conjecture,(addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[104,99,theory(equality)]),99,theory(equality)]),99,theory(equality)]),99,theory(equality)]),['unfolding']).
% cnf(113,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))))!=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(domain_difference(antidomain(antidomain(esk2_0)),antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[106,99,theory(equality)]),99,theory(equality)]),99,theory(equality)]),99,theory(equality)]),99,theory(equality)]),['unfolding']).
% cnf(114,negated_conjecture,(addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))))=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[111,102,theory(equality)]),102,theory(equality)]),['unfolding']).
% cnf(115,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(esk2_0)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0)))))))))))))))!=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(esk2_0)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[113,102,theory(equality)]),102,theory(equality)]),['unfolding']).
% cnf(116,plain,(addition(antidomain(X1),antidomain(antidomain(X1)))=one),inference(rw,[status(thm)],[77,32,theory(equality)])).
% cnf(118,plain,(zero=antidomain(one)),inference(spm,[status(thm)],[81,71,theory(equality)])).
% cnf(119,plain,(addition(zero,X1)=X1),inference(spm,[status(thm)],[55,32,theory(equality)])).
% cnf(169,plain,(addition(multiplication(antidomain(X1),X2),zero)=multiplication(antidomain(X1),addition(X2,X1))),inference(spm,[status(thm)],[45,71,theory(equality)])).
% cnf(188,plain,(multiplication(antidomain(X1),X2)=multiplication(antidomain(X1),addition(X2,X1))),inference(rw,[status(thm)],[169,55,theory(equality)])).
% cnf(207,plain,(addition(multiplication(X1,X2),zero)=multiplication(addition(X1,antidomain(X2)),X2)),inference(spm,[status(thm)],[47,71,theory(equality)])).
% cnf(226,plain,(multiplication(X1,X2)=multiplication(addition(X1,antidomain(X2)),X2)),inference(rw,[status(thm)],[207,55,theory(equality)])).
% cnf(348,plain,(addition(zero,antidomain(zero))=one),inference(spm,[status(thm)],[116,118,theory(equality)])).
% cnf(415,plain,(antidomain(zero)=one),inference(rw,[status(thm)],[348,119,theory(equality)])).
% cnf(603,plain,(multiplication(addition(antidomain(X2),X1),X2)=multiplication(X1,X2)),inference(spm,[status(thm)],[226,32,theory(equality)])).
% cnf(671,plain,(multiplication(one,X1)=multiplication(antidomain(antidomain(X1)),X1)),inference(spm,[status(thm)],[603,116,theory(equality)])).
% cnf(687,plain,(X1=multiplication(antidomain(antidomain(X1)),X1)),inference(rw,[status(thm)],[671,83,theory(equality)])).
% cnf(997,plain,(multiplication(antidomain(antidomain(antidomain(X1))),one)=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(spm,[status(thm)],[188,116,theory(equality)])).
% cnf(1024,plain,(antidomain(antidomain(antidomain(X1)))=multiplication(antidomain(antidomain(antidomain(X1))),antidomain(X1))),inference(rw,[status(thm)],[997,81,theory(equality)])).
% cnf(1025,plain,(antidomain(antidomain(antidomain(X1)))=antidomain(X1)),inference(rw,[status(thm)],[1024,687,theory(equality)])).
% cnf(1055,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))))))))!=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(esk2_0)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(esk2_0))))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[115,1025,theory(equality)]),1025,theory(equality)]),1025,theory(equality)]),1025,theory(equality)])).
% cnf(1056,negated_conjecture,(addition(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0)))))))))))!=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_0))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1055,1025,theory(equality)]),1025,theory(equality)]),1025,theory(equality)])).
% cnf(1060,negated_conjecture,(addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1)))))))))))=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[114,1025,theory(equality)]),1025,theory(equality)]),1025,theory(equality)])).
% cnf(1061,negated_conjecture,(addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1)))))))))))=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(X1)),antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1060,1025,theory(equality)]),1025,theory(equality)]),1025,theory(equality)])).
% cnf(1062,negated_conjecture,(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))))))=antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[110,1025,theory(equality)]),1025,theory(equality)])).
% cnf(1063,negated_conjecture,(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(X1))))))))=antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(X1)))))),inference(rw,[status(thm)],[1062,1025,theory(equality)])).
% cnf(1655,negated_conjecture,(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(multiplication(esk1_0,antidomain(zero)))))))=antidomain(antidomain(multiplication(esk1_0,antidomain(zero))))),inference(spm,[status(thm)],[1063,118,theory(equality)])).
% cnf(1686,negated_conjecture,(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0)))))=antidomain(antidomain(multiplication(esk1_0,antidomain(zero))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1655,415,theory(equality)]),81,theory(equality)])).
% cnf(1687,negated_conjecture,(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0)))))=antidomain(antidomain(esk1_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1686,415,theory(equality)]),81,theory(equality)])).
% cnf(2056,negated_conjecture,(antidomain(antidomain(antidomain(esk1_0)))=antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0))))),inference(spm,[status(thm)],[1025,1687,theory(equality)])).
% cnf(2088,negated_conjecture,(antidomain(esk1_0)=antidomain(multiplication(esk1_0,antidomain(antidomain(esk1_0))))),inference(rw,[status(thm)],[2056,1025,theory(equality)])).
% cnf(2115,negated_conjecture,(addition(antidomain(antidomain(esk1_0)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(esk1_0))))))))=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(esk1_0)))))))),inference(spm,[status(thm)],[1061,2088,theory(equality)])).
% cnf(2137,negated_conjecture,(antidomain(antidomain(esk1_0))=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk1_0)),antidomain(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)],[inference(rw,[status(thm)],[2115,71,theory(equality)]),415,theory(equality)]),118,theory(equality)]),63,theory(equality)]),415,theory(equality)]),118,theory(equality)]),55,theory(equality)])).
% cnf(2138,negated_conjecture,(antidomain(antidomain(esk1_0))=zero),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2137,71,theory(equality)]),415,theory(equality)]),118,theory(equality)]),63,theory(equality)]),415,theory(equality)]),118,theory(equality)])).
% cnf(2163,negated_conjecture,(multiplication(zero,esk1_0)=esk1_0),inference(spm,[status(thm)],[687,2138,theory(equality)])).
% cnf(2168,negated_conjecture,(one=antidomain(esk1_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2088,2138,theory(equality)]),63,theory(equality)]),415,theory(equality)])).
% cnf(2208,negated_conjecture,(zero=esk1_0),inference(rw,[status(thm)],[2163,65,theory(equality)])).
% cnf(2233,plain,(addition(esk1_0,X1)=X1),inference(rw,[status(thm)],[119,2208,theory(equality)])).
% cnf(2235,plain,(multiplication(esk1_0,X1)=zero),inference(rw,[status(thm)],[65,2208,theory(equality)])).
% cnf(2236,plain,(multiplication(esk1_0,X1)=esk1_0),inference(rw,[status(thm)],[2235,2208,theory(equality)])).
% cnf(2378,negated_conjecture,(antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(esk2_0)))))!=antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(esk2_0)),antidomain(multiplication(esk1_0,antidomain(antidomain(esk2_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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1056,2236,theory(equality)]),2168,theory(equality)]),118,theory(equality)]),2208,theory(equality)]),2236,theory(equality)]),2168,theory(equality)]),81,theory(equality)]),1025,theory(equality)]),2233,theory(equality)])).
% cnf(2379,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[2378,2236,theory(equality)]),2168,theory(equality)]),81,theory(equality)]),1025,theory(equality)])).
% cnf(2380,negated_conjecture,($false),inference(cn,[status(thm)],[2379,theory(equality)])).
% cnf(2381,negated_conjecture,($false),2380,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 138
% # ...of these trivial : 29
% # ...subsumed : 11
% # ...remaining for further processing: 98
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 36
% # Generated clauses : 1163
% # ...of the previous two non-trivial : 696
% # Contextual simplify-reflections : 0
% # Paramodulations : 1163
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 38
% # Positive orientable unit clauses: 33
% # Positive unorientable unit clauses: 2
% # Negative unit clauses : 0
% # Non-unit-clauses : 3
% # Current number of unprocessed clauses: 275
% # ...number of literals in the above : 303
% # Clause-clause subsumption calls (NU) : 0
% # Rec. Clause-clause subsumption calls : 0
% # Unit Clause-clause subsumption calls : 10
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 95
% # Indexed BW rewrite successes : 36
% # Backwards rewriting index: 64 leaves, 1.34+/-0.888 terms/leaf
% # Paramod-from index: 31 leaves, 1.23+/-0.658 terms/leaf
% # Paramod-into index: 53 leaves, 1.32+/-0.747 terms/leaf
% # -------------------------------------------------
% # User time : 0.040 s
% # System time : 0.004 s
% # Total time : 0.044 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.16 CPU 0.24 WC
% FINAL PrfWatch: 0.16 CPU 0.24 WC
% SZS output end Solution for /tmp/SystemOnTPTP28383/KLE133+1.tptp
%
%------------------------------------------------------------------------------