TSTP Solution File: KLE054+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE054+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %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 : Sat Dec 25 12:05:59 EST 2010
% Result : Theorem 239.91s
% Output : CNFRefutation 239.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 53 ( 5 sgn 28 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',additive_commutativity) ).
fof(9,axiom,
! [X1] : multiplication(X1,one) = X1,
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',multiplicative_right_identity) ).
fof(10,axiom,
! [X4] : addition(domain(X4),one) = one,
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',domain3) ).
fof(11,axiom,
! [X4,X5] : domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5))),
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',domain2) ).
fof(12,axiom,
! [X1,X2,X3] : multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',right_distributivity) ).
fof(14,axiom,
! [X4] : addition(X4,multiplication(domain(X4),X4)) = multiplication(domain(X4),X4),
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',domain1) ).
fof(15,axiom,
! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',domain5) ).
fof(17,conjecture,
! [X4,X5] : addition(domain(multiplication(X4,X5)),domain(X4)) = domain(X4),
file('/tmp/tmp5X8qr1/sel_KLE054+1.p_5',goals) ).
fof(18,negated_conjecture,
~ ! [X4,X5] : addition(domain(multiplication(X4,X5)),domain(X4)) = domain(X4),
inference(assume_negation,[status(cth)],[17]) ).
fof(25,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[4]) ).
cnf(26,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[25]) ).
fof(35,plain,
! [X2] : multiplication(X2,one) = X2,
inference(variable_rename,[status(thm)],[9]) ).
cnf(36,plain,
multiplication(X1,one) = X1,
inference(split_conjunct,[status(thm)],[35]) ).
fof(37,plain,
! [X5] : addition(domain(X5),one) = one,
inference(variable_rename,[status(thm)],[10]) ).
cnf(38,plain,
addition(domain(X1),one) = one,
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X6,X7] : domain(multiplication(X6,X7)) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[11]) ).
cnf(40,plain,
domain(multiplication(X1,X2)) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[39]) ).
fof(41,plain,
! [X4,X5,X6] : multiplication(X4,addition(X5,X6)) = addition(multiplication(X4,X5),multiplication(X4,X6)),
inference(variable_rename,[status(thm)],[12]) ).
cnf(42,plain,
multiplication(X1,addition(X2,X3)) = addition(multiplication(X1,X2),multiplication(X1,X3)),
inference(split_conjunct,[status(thm)],[41]) ).
fof(45,plain,
! [X5] : addition(X5,multiplication(domain(X5),X5)) = multiplication(domain(X5),X5),
inference(variable_rename,[status(thm)],[14]) ).
cnf(46,plain,
addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
inference(split_conjunct,[status(thm)],[45]) ).
fof(47,plain,
! [X6,X7] : domain(addition(X6,X7)) = addition(domain(X6),domain(X7)),
inference(variable_rename,[status(thm)],[15]) ).
cnf(48,plain,
domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
inference(split_conjunct,[status(thm)],[47]) ).
fof(50,negated_conjecture,
? [X4,X5] : addition(domain(multiplication(X4,X5)),domain(X4)) != domain(X4),
inference(fof_nnf,[status(thm)],[18]) ).
fof(51,negated_conjecture,
? [X6,X7] : addition(domain(multiplication(X6,X7)),domain(X6)) != domain(X6),
inference(variable_rename,[status(thm)],[50]) ).
fof(52,negated_conjecture,
addition(domain(multiplication(esk1_0,esk2_0)),domain(esk1_0)) != domain(esk1_0),
inference(skolemize,[status(esa)],[51]) ).
cnf(53,negated_conjecture,
addition(domain(multiplication(esk1_0,esk2_0)),domain(esk1_0)) != domain(esk1_0),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(59,plain,
addition(one,domain(X1)) = one,
inference(rw,[status(thm)],[38,26,theory(equality)]) ).
cnf(60,negated_conjecture,
addition(domain(esk1_0),domain(multiplication(esk1_0,esk2_0))) != domain(esk1_0),
inference(rw,[status(thm)],[53,26,theory(equality)]) ).
cnf(120,plain,
addition(one,domain(one)) = domain(one),
inference(spm,[status(thm)],[46,36,theory(equality)]) ).
cnf(131,plain,
addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
inference(spm,[status(thm)],[42,36,theory(equality)]) ).
cnf(195,negated_conjecture,
domain(addition(esk1_0,multiplication(esk1_0,esk2_0))) != domain(esk1_0),
inference(rw,[status(thm)],[60,48,theory(equality)]) ).
cnf(203,plain,
one = domain(one),
inference(rw,[status(thm)],[120,59,theory(equality)]) ).
cnf(204,plain,
addition(one,domain(X1)) = domain(addition(one,X1)),
inference(spm,[status(thm)],[48,203,theory(equality)]) ).
cnf(208,plain,
one = domain(addition(one,X1)),
inference(rw,[status(thm)],[204,59,theory(equality)]) ).
cnf(232,plain,
domain(multiplication(X1,one)) = domain(multiplication(X1,addition(one,X2))),
inference(spm,[status(thm)],[40,208,theory(equality)]) ).
cnf(245,plain,
domain(X1) = domain(multiplication(X1,addition(one,X2))),
inference(rw,[status(thm)],[232,36,theory(equality)]) ).
cnf(356,negated_conjecture,
domain(multiplication(esk1_0,addition(one,esk2_0))) != domain(esk1_0),
inference(rw,[status(thm)],[195,131,theory(equality)]) ).
cnf(475,negated_conjecture,
$false,
inference(rw,[status(thm)],[356,245,theory(equality)]) ).
cnf(476,negated_conjecture,
$false,
inference(cn,[status(thm)],[475,theory(equality)]) ).
cnf(477,negated_conjecture,
$false,
476,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE054+1.p
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% eprover: CPU time limit exceeded, terminating
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp5X8qr1/sel_KLE054+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmp5X8qr1/sel_KLE054+1.p_2 with time limit 81
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp5X8qr1/sel_KLE054+1.p_3 with time limit 74
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmp5X8qr1/sel_KLE054+1.p_4 with time limit 55
% -prover status ResourceOut
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% -running prover on /tmp/tmp5X8qr1/sel_KLE054+1.p_5 with time limit 55
% -prover status Theorem
% Problem KLE054+1.p solved in phase 4.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE054+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE054+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------