TSTP Solution File: KLE089+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : KLE089+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 12:14:09 EST 2010
% Result : Theorem 0.17s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 27 unt; 0 def)
% Number of atoms : 39 ( 37 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 0 |; 3 &)
% ( 0 <=>; 1 =>; 2 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 22 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1] : addition(X1,zero) = X1,
file('/tmp/tmpo4CkMI/sel_KLE089+1.p_1',additive_identity) ).
fof(4,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/tmp/tmpo4CkMI/sel_KLE089+1.p_1',left_distributivity) ).
fof(5,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/tmp/tmpo4CkMI/sel_KLE089+1.p_1',additive_commutativity) ).
fof(16,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/tmp/tmpo4CkMI/sel_KLE089+1.p_1',domain1) ).
fof(18,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/tmp/tmpo4CkMI/sel_KLE089+1.p_1',domain4) ).
fof(19,conjecture,
! [X4,X5] :
( multiplication(domain(X4),X5) = zero
<= addition(domain(X4),antidomain(X5)) = antidomain(X5) ),
file('/tmp/tmpo4CkMI/sel_KLE089+1.p_1',goals) ).
fof(20,negated_conjecture,
~ ! [X4,X5] :
( multiplication(domain(X4),X5) = zero
<= addition(domain(X4),antidomain(X5)) = antidomain(X5) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(21,negated_conjecture,
~ ! [X4,X5] :
( addition(domain(X4),antidomain(X5)) = antidomain(X5)
=> multiplication(domain(X4),X5) = zero ),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(26,plain,
! [X2] : addition(X2,zero) = X2,
inference(variable_rename,[status(thm)],[3]) ).
cnf(27,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[26]) ).
fof(28,plain,
! [X4,X5,X6] : multiplication(addition(X4,X5),X6) = addition(multiplication(X4,X6),multiplication(X5,X6)),
inference(variable_rename,[status(thm)],[4]) ).
cnf(29,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X3,X4] : addition(X3,X4) = addition(X4,X3),
inference(variable_rename,[status(thm)],[5]) ).
cnf(31,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[30]) ).
fof(52,plain,
! [X5] : multiplication(antidomain(X5),X5) = zero,
inference(variable_rename,[status(thm)],[16]) ).
cnf(53,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[52]) ).
fof(56,plain,
! [X5] : domain(X5) = antidomain(antidomain(X5)),
inference(variable_rename,[status(thm)],[18]) ).
cnf(57,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[56]) ).
fof(58,negated_conjecture,
? [X4,X5] :
( addition(domain(X4),antidomain(X5)) = antidomain(X5)
& multiplication(domain(X4),X5) != zero ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(59,negated_conjecture,
? [X6,X7] :
( addition(domain(X6),antidomain(X7)) = antidomain(X7)
& multiplication(domain(X6),X7) != zero ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,negated_conjecture,
( addition(domain(esk1_0),antidomain(esk2_0)) = antidomain(esk2_0)
& multiplication(domain(esk1_0),esk2_0) != zero ),
inference(skolemize,[status(esa)],[59]) ).
cnf(61,negated_conjecture,
multiplication(domain(esk1_0),esk2_0) != zero,
inference(split_conjunct,[status(thm)],[60]) ).
cnf(62,negated_conjecture,
addition(domain(esk1_0),antidomain(esk2_0)) = antidomain(esk2_0),
inference(split_conjunct,[status(thm)],[60]) ).
cnf(63,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(esk2_0)) = antidomain(esk2_0),
inference(rw,[status(thm)],[62,57,theory(equality)]),
[unfolding] ).
cnf(64,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),esk2_0) != zero,
inference(rw,[status(thm)],[61,57,theory(equality)]),
[unfolding] ).
cnf(73,negated_conjecture,
addition(antidomain(esk2_0),antidomain(antidomain(esk1_0))) = antidomain(esk2_0),
inference(rw,[status(thm)],[63,31,theory(equality)]) ).
cnf(163,plain,
addition(multiplication(X1,X2),zero) = multiplication(addition(X1,antidomain(X2)),X2),
inference(spm,[status(thm)],[29,53,theory(equality)]) ).
cnf(184,plain,
multiplication(X1,X2) = multiplication(addition(X1,antidomain(X2)),X2),
inference(rw,[status(thm)],[163,27,theory(equality)]) ).
cnf(491,plain,
multiplication(addition(antidomain(X2),X1),X2) = multiplication(X1,X2),
inference(spm,[status(thm)],[184,31,theory(equality)]) ).
cnf(532,negated_conjecture,
multiplication(antidomain(esk2_0),esk2_0) = multiplication(antidomain(antidomain(esk1_0)),esk2_0),
inference(spm,[status(thm)],[491,73,theory(equality)]) ).
cnf(553,negated_conjecture,
zero = multiplication(antidomain(antidomain(esk1_0)),esk2_0),
inference(rw,[status(thm)],[532,53,theory(equality)]) ).
cnf(554,negated_conjecture,
$false,
inference(sr,[status(thm)],[553,64,theory(equality)]) ).
cnf(555,negated_conjecture,
$false,
554,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/KLE/KLE089+1.p
% --creating new selector for [KLE001+0.ax, KLE001+4.ax]
% -running prover on /tmp/tmpo4CkMI/sel_KLE089+1.p_1 with time limit 29
% -prover status Theorem
% Problem KLE089+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/KLE/KLE089+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/KLE/KLE089+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
%
%------------------------------------------------------------------------------