TSTP Solution File: SWV050+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV050+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 12:02:42 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 30 unt; 0 def)
% Number of atoms : 54 ( 48 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 29 ( 11 ~; 8 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-3 aty)
% Number of variables : 19 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(9,axiom,
! [X4] : sum(n0,tptp_minus_1,X4) = n0,
file('/tmp/tmpNyFJA3/sel_SWV050+1.p_1',sum_plus_base) ).
fof(13,axiom,
succ(tptp_minus_1) = n0,
file('/tmp/tmpNyFJA3/sel_SWV050+1.p_1',succ_tptp_minus_1) ).
fof(17,axiom,
! [X1] : plus(X1,n1) = succ(X1),
file('/tmp/tmpNyFJA3/sel_SWV050+1.p_1',succ_plus_1_r) ).
fof(22,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/tmp/tmpNyFJA3/sel_SWV050+1.p_1',pred_minus_1) ).
fof(23,axiom,
! [X1] : plus(n1,X1) = succ(X1),
file('/tmp/tmpNyFJA3/sel_SWV050+1.p_1',succ_plus_1_l) ).
fof(27,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/tmp/tmpNyFJA3/sel_SWV050+1.p_1',pred_succ) ).
fof(55,conjecture,
( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )
=> ( n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ),
file('/tmp/tmpNyFJA3/sel_SWV050+1.p_1',cl5_nebula_norm_0022) ).
fof(63,negated_conjecture,
~ ( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )
=> ( n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ),
inference(assume_negation,[status(cth)],[55]) ).
fof(86,plain,
! [X5] : sum(n0,tptp_minus_1,X5) = n0,
inference(variable_rename,[status(thm)],[9]) ).
cnf(87,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[86]) ).
cnf(96,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[13]) ).
fof(103,plain,
! [X2] : plus(X2,n1) = succ(X2),
inference(variable_rename,[status(thm)],[17]) ).
cnf(104,plain,
plus(X1,n1) = succ(X1),
inference(split_conjunct,[status(thm)],[103]) ).
fof(113,plain,
! [X2] : minus(X2,n1) = pred(X2),
inference(variable_rename,[status(thm)],[22]) ).
cnf(114,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[113]) ).
fof(115,plain,
! [X2] : plus(n1,X2) = succ(X2),
inference(variable_rename,[status(thm)],[23]) ).
cnf(116,plain,
plus(n1,X1) = succ(X1),
inference(split_conjunct,[status(thm)],[115]) ).
fof(128,plain,
! [X2] : pred(succ(X2)) = X2,
inference(variable_rename,[status(thm)],[27]) ).
cnf(129,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[128]) ).
fof(172,negated_conjecture,
( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& ( n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ),
inference(fof_nnf,[status(thm)],[63]) ).
cnf(173,negated_conjecture,
( pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) ),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(174,negated_conjecture,
pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(175,negated_conjecture,
pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))),
inference(split_conjunct,[status(thm)],[172]) ).
cnf(184,plain,
plus(tptp_minus_1,n1) = n0,
inference(rw,[status(thm)],[96,104,theory(equality)]),
[unfolding] ).
cnf(186,plain,
pred(plus(X1,n1)) = X1,
inference(rw,[status(thm)],[129,104,theory(equality)]),
[unfolding] ).
cnf(187,plain,
plus(n1,X1) = plus(X1,n1),
inference(rw,[status(thm)],[116,104,theory(equality)]),
[unfolding] ).
cnf(208,plain,
minus(plus(X1,n1),n1) = X1,
inference(rw,[status(thm)],[186,114,theory(equality)]),
[unfolding] ).
cnf(214,plain,
plus(n1,tptp_minus_1) = n0,
inference(rw,[status(thm)],[184,187,theory(equality)]) ).
cnf(220,plain,
minus(plus(n1,X1),n1) = X1,
inference(spm,[status(thm)],[208,187,theory(equality)]) ).
cnf(415,negated_conjecture,
( sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0
| $false
| sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) != pv88 ),
inference(rw,[status(thm)],[173,175,theory(equality)]) ).
cnf(416,negated_conjecture,
( sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0
| $false
| $false ),
inference(rw,[status(thm)],[415,174,theory(equality)]) ).
cnf(417,negated_conjecture,
sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0,
inference(cn,[status(thm)],[416,theory(equality)]) ).
cnf(509,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[220,214,theory(equality)]) ).
cnf(537,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[417,509,theory(equality)]),87,theory(equality)]) ).
cnf(538,negated_conjecture,
$false,
inference(cn,[status(thm)],[537,theory(equality)]) ).
cnf(539,negated_conjecture,
$false,
538,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV050+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpNyFJA3/sel_SWV050+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV050+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV050+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV050+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
%
%------------------------------------------------------------------------------