TSTP Solution File: KLE074+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE074+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 12:11:41 EST 2010
% Result : Theorem 0.26s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 16 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 16 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
! [X1,X2,X3] : multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
file('/tmp/tmpzV_cK8/sel_KLE074+1.p_1',multiplicative_associativity) ).
fof(6,axiom,
! [X4,X5] : domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5))),
file('/tmp/tmpzV_cK8/sel_KLE074+1.p_1',domain2) ).
fof(10,conjecture,
! [X4,X5,X6] : domain(multiplication(multiplication(X4,X5),domain(X6))) = domain(multiplication(X4,domain(multiplication(X5,domain(X6))))),
file('/tmp/tmpzV_cK8/sel_KLE074+1.p_1',goals) ).
fof(11,negated_conjecture,
~ ! [X4,X5,X6] : domain(multiplication(multiplication(X4,X5),domain(X6))) = domain(multiplication(X4,domain(multiplication(X5,domain(X6))))),
inference(assume_negation,[status(cth)],[10]) ).
fof(18,plain,
! [X4,X5,X6] : multiplication(X4,multiplication(X5,X6)) = multiplication(multiplication(X4,X5),X6),
inference(variable_rename,[status(thm)],[4]) ).
cnf(19,plain,
multiplication(X1,multiplication(X2,X3)) = multiplication(multiplication(X1,X2),X3),
inference(split_conjunct,[status(thm)],[18]) ).
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(30,negated_conjecture,
? [X4,X5,X6] : domain(multiplication(multiplication(X4,X5),domain(X6))) != domain(multiplication(X4,domain(multiplication(X5,domain(X6))))),
inference(fof_nnf,[status(thm)],[11]) ).
fof(31,negated_conjecture,
? [X7,X8,X9] : domain(multiplication(multiplication(X7,X8),domain(X9))) != domain(multiplication(X7,domain(multiplication(X8,domain(X9))))),
inference(variable_rename,[status(thm)],[30]) ).
fof(32,negated_conjecture,
domain(multiplication(multiplication(esk1_0,esk2_0),domain(esk3_0))) != domain(multiplication(esk1_0,domain(multiplication(esk2_0,domain(esk3_0))))),
inference(skolemize,[status(esa)],[31]) ).
cnf(33,negated_conjecture,
domain(multiplication(multiplication(esk1_0,esk2_0),domain(esk3_0))) != domain(multiplication(esk1_0,domain(multiplication(esk2_0,domain(esk3_0))))),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(38,plain,
domain(multiplication(X1,domain(multiplication(X2,X3)))) = domain(multiplication(X1,multiplication(X2,domain(X3)))),
inference(spm,[status(thm)],[23,23,theory(equality)]) ).
cnf(39,plain,
domain(multiplication(X1,multiplication(X2,X3))) = domain(multiplication(X1,multiplication(X2,domain(X3)))),
inference(rw,[status(thm)],[38,23,theory(equality)]) ).
cnf(95,negated_conjecture,
domain(multiplication(esk1_0,multiplication(esk2_0,esk3_0))) != domain(multiplication(multiplication(esk1_0,esk2_0),domain(esk3_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[33,23,theory(equality)]),23,theory(equality)]) ).
cnf(96,negated_conjecture,
domain(multiplication(esk1_0,multiplication(esk2_0,esk3_0))) != domain(multiplication(esk1_0,multiplication(esk2_0,domain(esk3_0)))),
inference(rw,[status(thm)],[95,19,theory(equality)]) ).
cnf(153,negated_conjecture,
$false,
inference(rw,[status(thm)],[96,39,theory(equality)]) ).
cnf(154,negated_conjecture,
$false,
inference(cn,[status(thm)],[153,theory(equality)]) ).
cnf(155,negated_conjecture,
$false,
154,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE074+1.p
% --creating new selector for [KLE001+0.ax, KLE001+5.ax]
% -running prover on /tmp/tmpzV_cK8/sel_KLE074+1.p_1 with time limit 29
% -prover status Theorem
% Problem KLE074+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE074+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE074+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
%
%------------------------------------------------------------------------------