TSTP Solution File: MSC010+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MSC010+1 : TPTP v5.0.0. Released v3.1.0.
% 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 21:09:43 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 3
% Syntax : Number of formulae : 36 ( 15 unt; 0 def)
% Number of atoms : 414 ( 101 equ)
% Maximal formula atoms : 68 ( 11 avg)
% Number of connectives : 459 ( 81 ~; 77 |; 233 &)
% ( 0 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-3 aty)
% Number of variables : 106 ( 0 sgn 96 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
file('/tmp/tmprYp5Uz/sel_MSC010+1.p_1',n1) ).
fof(2,conjecture,
~ ~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
file('/tmp/tmprYp5Uz/sel_MSC010+1.p_1',n91) ).
fof(3,negated_conjecture,
~ ~ ~ ( ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) )
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(8,plain,
( epred5_0
=> ( pv63 != pv64
& leq(n0,pv5)
& leq(n0,pv63)
& leq(n0,pv64)
& leq(pv5,n998)
& leq(pv63,n5)
& leq(pv64,n5)
& ! [X1,X2] :
( ( leq(n0,X1)
& leq(n0,X2)
& leq(X1,n2)
& leq(X2,n5) )
=> a_select3(h_ds1_filter_init,X1,X2) = init )
& ! [X3,X4] :
( ( leq(n0,X3)
& leq(n0,X4)
& leq(X3,n5)
& leq(X4,n5) )
=> a_select3(phi_ds1_filter_init,X3,X4) = init )
& ! [X5,X6] :
( ( leq(n0,X5)
& leq(n0,X6)
& leq(X5,n5)
& leq(X6,n0) )
=> a_select3(dv_ds1_filter_init,X5,X6) = init )
& ! [X7,X8] :
( ( leq(n0,X7)
& leq(n0,X8)
& leq(X7,n5)
& leq(X8,n5) )
=> a_select3(q_ds1_filter_init,X7,X8) = init )
& ! [X9,X10] :
( ( leq(n0,X9)
& leq(n0,X10)
& leq(X9,n2)
& leq(X10,n2) )
=> a_select3(r_ds1_filter_init,X9,X10) = init )
& ! [X11,X12] :
( ( leq(n0,X11)
& leq(n0,X12)
& leq(X11,n5)
& leq(X12,n0) )
=> a_select3(xhatmin_ds1_filter_init,X11,X12) = init )
& ! [X13,X14] :
( ( leq(n0,X13)
& leq(n0,X14)
& leq(X13,n5)
& leq(X14,n5) )
=> a_select3(pminus_ds1_filter_init,X13,X14) = init )
& ! [X15,X16] :
( ( leq(n0,X15)
& leq(n0,X16)
& leq(X15,n5)
& leq(X16,n5) )
=> ( ( X15 = pv63
& gt(pv64,X16) )
=> a_select3(id_ds1_filter_init,X15,X16) = init ) )
& ! [X17,X18] :
( ( leq(n0,X17)
& leq(n0,X18)
& leq(X17,n5)
& leq(X18,n5) )
=> ( gt(pv63,X17)
=> a_select3(id_ds1_filter_init,X17,X18) = init ) )
& ! [X19] :
( ( leq(n0,X19)
& leq(X19,pred(pv63)) )
=> ! [X20] :
( ( leq(n0,X20)
& leq(X20,n5) )
=> a_select3(id_ds1_filter_init,X19,X20) = init ) ) ) ),
introduced(definition) ).
fof(9,plain,
( epred5_0
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
inference(apply_def,[status(esa)],[1,8,theory(equality)]) ).
fof(10,negated_conjecture,
~ ~ ~ ( epred5_0
=> ! [X21,X22] :
( ( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5) )
=> ( ( pv64 != X22
& X21 = pv63
& leq(X22,pv64) )
=> a_select3(id_ds1_filter_init,X21,X22) = init ) ) ),
inference(apply_def,[status(esa)],[3,8,theory(equality)]) ).
fof(15,plain,
( ~ epred5_0
| ! [X21,X22] :
( ~ leq(n0,X21)
| ~ leq(n0,X22)
| ~ leq(X21,n5)
| ~ leq(X22,n5)
| pv64 = X22
| X21 != pv63
| ~ leq(X22,pv64)
| a_select3(id_ds1_filter_init,X21,X22) = init ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(16,plain,
( ~ epred5_0
| ! [X23,X24] :
( ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,n5)
| ~ leq(X24,n5)
| pv64 = X24
| X23 != pv63
| ~ leq(X24,pv64)
| a_select3(id_ds1_filter_init,X23,X24) = init ) ),
inference(variable_rename,[status(thm)],[15]) ).
fof(17,plain,
! [X23,X24] :
( ~ leq(n0,X23)
| ~ leq(n0,X24)
| ~ leq(X23,n5)
| ~ leq(X24,n5)
| pv64 = X24
| X23 != pv63
| ~ leq(X24,pv64)
| a_select3(id_ds1_filter_init,X23,X24) = init
| ~ epred5_0 ),
inference(shift_quantors,[status(thm)],[16]) ).
cnf(18,plain,
( a_select3(id_ds1_filter_init,X1,X2) = init
| pv64 = X2
| ~ epred5_0
| ~ leq(X2,pv64)
| X1 != pv63
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[17]) ).
fof(19,negated_conjecture,
( epred5_0
& ? [X21,X22] :
( leq(n0,X21)
& leq(n0,X22)
& leq(X21,n5)
& leq(X22,n5)
& pv64 != X22
& X21 = pv63
& leq(X22,pv64)
& a_select3(id_ds1_filter_init,X21,X22) != init ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(20,negated_conjecture,
( epred5_0
& ? [X23,X24] :
( leq(n0,X23)
& leq(n0,X24)
& leq(X23,n5)
& leq(X24,n5)
& pv64 != X24
& X23 = pv63
& leq(X24,pv64)
& a_select3(id_ds1_filter_init,X23,X24) != init ) ),
inference(variable_rename,[status(thm)],[19]) ).
fof(21,negated_conjecture,
( epred5_0
& leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n5)
& leq(esk2_0,n5)
& pv64 != esk2_0
& esk1_0 = pv63
& leq(esk2_0,pv64)
& a_select3(id_ds1_filter_init,esk1_0,esk2_0) != init ),
inference(skolemize,[status(esa)],[20]) ).
cnf(22,negated_conjecture,
a_select3(id_ds1_filter_init,esk1_0,esk2_0) != init,
inference(split_conjunct,[status(thm)],[21]) ).
cnf(23,negated_conjecture,
leq(esk2_0,pv64),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(24,negated_conjecture,
esk1_0 = pv63,
inference(split_conjunct,[status(thm)],[21]) ).
cnf(25,negated_conjecture,
pv64 != esk2_0,
inference(split_conjunct,[status(thm)],[21]) ).
cnf(26,negated_conjecture,
leq(esk2_0,n5),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(27,negated_conjecture,
leq(esk1_0,n5),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(28,negated_conjecture,
leq(n0,esk2_0),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(29,negated_conjecture,
leq(n0,esk1_0),
inference(split_conjunct,[status(thm)],[21]) ).
cnf(30,negated_conjecture,
epred5_0,
inference(split_conjunct,[status(thm)],[21]) ).
cnf(168,negated_conjecture,
leq(n0,pv63),
inference(rw,[status(thm)],[29,24,theory(equality)]) ).
cnf(169,negated_conjecture,
leq(pv63,n5),
inference(rw,[status(thm)],[27,24,theory(equality)]) ).
cnf(174,negated_conjecture,
a_select3(id_ds1_filter_init,pv63,esk2_0) != init,
inference(rw,[status(thm)],[22,24,theory(equality)]) ).
cnf(219,plain,
( pv64 = X2
| a_select3(id_ds1_filter_init,X1,X2) = init
| pv63 != X1
| $false
| ~ leq(X2,pv64)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[18,30,theory(equality)]) ).
cnf(220,plain,
( pv64 = X2
| a_select3(id_ds1_filter_init,X1,X2) = init
| pv63 != X1
| ~ leq(X2,pv64)
| ~ leq(X2,n5)
| ~ leq(X1,n5)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[219,theory(equality)]) ).
cnf(221,negated_conjecture,
( pv64 = esk2_0
| ~ leq(esk2_0,pv64)
| ~ leq(esk2_0,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,esk2_0)
| ~ leq(n0,pv63) ),
inference(spm,[status(thm)],[174,220,theory(equality)]) ).
cnf(222,negated_conjecture,
( pv64 = esk2_0
| $false
| ~ leq(esk2_0,n5)
| ~ leq(pv63,n5)
| ~ leq(n0,esk2_0)
| ~ leq(n0,pv63) ),
inference(rw,[status(thm)],[221,23,theory(equality)]) ).
cnf(223,negated_conjecture,
( pv64 = esk2_0
| $false
| $false
| ~ leq(pv63,n5)
| ~ leq(n0,esk2_0)
| ~ leq(n0,pv63) ),
inference(rw,[status(thm)],[222,26,theory(equality)]) ).
cnf(224,negated_conjecture,
( pv64 = esk2_0
| $false
| $false
| $false
| ~ leq(n0,esk2_0)
| ~ leq(n0,pv63) ),
inference(rw,[status(thm)],[223,169,theory(equality)]) ).
cnf(225,negated_conjecture,
( pv64 = esk2_0
| $false
| $false
| $false
| $false
| ~ leq(n0,pv63) ),
inference(rw,[status(thm)],[224,28,theory(equality)]) ).
cnf(226,negated_conjecture,
( pv64 = esk2_0
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[225,168,theory(equality)]) ).
cnf(227,negated_conjecture,
pv64 = esk2_0,
inference(cn,[status(thm)],[226,theory(equality)]) ).
cnf(228,negated_conjecture,
$false,
inference(sr,[status(thm)],[227,25,theory(equality)]) ).
cnf(229,negated_conjecture,
$false,
228,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MSC/MSC010+1.p
% --creating new selector for []
% -running prover on /tmp/tmprYp5Uz/sel_MSC010+1.p_1 with time limit 29
% -prover status Theorem
% Problem MSC010+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MSC/MSC010+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MSC/MSC010+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
%
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