TSTP Solution File: KLE072+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE072+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %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 : Sat Dec 25 12:11:29 EST 2010
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 7 ( 7 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 33 ( 0 sgn 20 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmp-sN2q2/sel_KLE072+1.p_1',left_distributivity) ).
fof(6,axiom,
! [X4,X5] : domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5))),
file('/tmp/tmp-sN2q2/sel_KLE072+1.p_1',domain2) ).
fof(9,axiom,
! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
file('/tmp/tmp-sN2q2/sel_KLE072+1.p_1',domain5) ).
fof(10,conjecture,
! [X4,X5,X6] : domain(multiplication(addition(X4,X5),domain(X6))) = addition(domain(multiplication(X4,domain(X6))),domain(multiplication(X5,domain(X6)))),
file('/tmp/tmp-sN2q2/sel_KLE072+1.p_1',goals) ).
fof(11,negated_conjecture,
~ ! [X4,X5,X6] : domain(multiplication(addition(X4,X5),domain(X6))) = addition(domain(multiplication(X4,domain(X6))),domain(multiplication(X5,domain(X6)))),
inference(assume_negation,[status(cth)],[10]) ).
fof(12,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[1]) ).
cnf(13,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[12]) ).
fof(22,plain,
! [X6,X7] : domain(multiplication(X6,X7)) = domain(multiplication(X6,domain(X7))),
inference(variable_rename,[status(thm)],[6]) ).
cnf(23,plain,
domain(multiplication(X1,X2)) = domain(multiplication(X1,domain(X2))),
inference(split_conjunct,[status(thm)],[22]) ).
fof(28,plain,
! [X6,X7] : domain(addition(X6,X7)) = addition(domain(X6),domain(X7)),
inference(variable_rename,[status(thm)],[9]) ).
cnf(29,plain,
domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,negated_conjecture,
? [X4,X5,X6] : domain(multiplication(addition(X4,X5),domain(X6))) != addition(domain(multiplication(X4,domain(X6))),domain(multiplication(X5,domain(X6)))),
inference(fof_nnf,[status(thm)],[11]) ).
fof(31,negated_conjecture,
? [X7,X8,X9] : domain(multiplication(addition(X7,X8),domain(X9))) != addition(domain(multiplication(X7,domain(X9))),domain(multiplication(X8,domain(X9)))),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,negated_conjecture,
domain(multiplication(addition(esk1_0,esk2_0),domain(esk3_0))) != addition(domain(multiplication(esk1_0,domain(esk3_0))),domain(multiplication(esk2_0,domain(esk3_0)))),
inference(skolemize,[status(esa)],[31]) ).
cnf(33,negated_conjecture,
domain(multiplication(addition(esk1_0,esk2_0),domain(esk3_0))) != addition(domain(multiplication(esk1_0,domain(esk3_0))),domain(multiplication(esk2_0,domain(esk3_0)))),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(41,negated_conjecture,
domain(addition(multiplication(esk1_0,domain(esk3_0)),multiplication(esk2_0,domain(esk3_0)))) != domain(multiplication(addition(esk1_0,esk2_0),domain(esk3_0))),
inference(rw,[status(thm)],[33,29,theory(equality)]) ).
cnf(145,negated_conjecture,
domain(multiplication(addition(esk1_0,esk2_0),esk3_0)) != domain(multiplication(addition(esk1_0,esk2_0),domain(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[41,13,theory(equality)]),23,theory(equality)]) ).
cnf(146,negated_conjecture,
$false,
inference(rw,[status(thm)],[145,23,theory(equality)]) ).
cnf(147,negated_conjecture,
$false,
inference(cn,[status(thm)],[146,theory(equality)]) ).
cnf(148,negated_conjecture,
$false,
147,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE072+1.p
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% -running prover on /tmp/tmp-sN2q2/sel_KLE072+1.p_1 with time limit 29
% -prover status Theorem
% Problem KLE072+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE072+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE072+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
%
%------------------------------------------------------------------------------