TSTP Solution File: SWV168+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV168+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% 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 : Sun Dec 26 12:21:17 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 322 ( 71 equ)
% Maximal formula atoms : 47 ( 9 avg)
% Number of connectives : 420 ( 131 ~; 137 |; 112 &)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 69 ( 0 sgn 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(51,conjecture,
( ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n135299) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(q_init,X4,X5) = init ) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(rho_init,X6) = init )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,pred(pv40)) )
=> a_select2(mu_init,X7) = init )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,pred(pv40)) )
=> a_select2(sigma_init,X8) = init )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select3(center_init,X9,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> a_select2(muold_init,X10) = init ) )
& ( gt(loopcounter,n1)
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,n4) )
=> a_select2(rhoold_init,X11) = init ) )
& ( gt(loopcounter,n1)
=> ! [X12] :
( ( leq(n0,X12)
& leq(X12,n4) )
=> a_select2(sigmaold_init,X12) = init ) ) )
=> a_select3(q_init,pv46,pv40) = init ),
file('/tmp/tmpusBWyg/sel_SWV168+1.p_1',cl5_nebula_init_0016) ).
fof(67,negated_conjecture,
~ ( ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n135299) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(q_init,X4,X5) = init ) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(rho_init,X6) = init )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,pred(pv40)) )
=> a_select2(mu_init,X7) = init )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,pred(pv40)) )
=> a_select2(sigma_init,X8) = init )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select3(center_init,X9,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> a_select2(muold_init,X10) = init ) )
& ( gt(loopcounter,n1)
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,n4) )
=> a_select2(rhoold_init,X11) = init ) )
& ( gt(loopcounter,n1)
=> ! [X12] :
( ( leq(n0,X12)
& leq(X12,n4) )
=> a_select2(sigmaold_init,X12) = init ) ) )
=> a_select3(q_init,pv46,pv40) = init ),
inference(assume_negation,[status(cth)],[51]) ).
fof(69,plain,
( epred1_0
=> ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X4] :
( ( leq(n0,X4)
& leq(X4,n135299) )
=> ! [X5] :
( ( leq(n0,X5)
& leq(X5,n4) )
=> a_select3(q_init,X4,X5) = init ) )
& ! [X6] :
( ( leq(n0,X6)
& leq(X6,n4) )
=> a_select2(rho_init,X6) = init )
& ! [X7] :
( ( leq(n0,X7)
& leq(X7,pred(pv40)) )
=> a_select2(mu_init,X7) = init )
& ! [X8] :
( ( leq(n0,X8)
& leq(X8,pred(pv40)) )
=> a_select2(sigma_init,X8) = init )
& ! [X9] :
( ( leq(n0,X9)
& leq(X9,n4) )
=> a_select3(center_init,X9,n0) = init )
& ( gt(loopcounter,n1)
=> ! [X10] :
( ( leq(n0,X10)
& leq(X10,n4) )
=> a_select2(muold_init,X10) = init ) )
& ( gt(loopcounter,n1)
=> ! [X11] :
( ( leq(n0,X11)
& leq(X11,n4) )
=> a_select2(rhoold_init,X11) = init ) )
& ( gt(loopcounter,n1)
=> ! [X12] :
( ( leq(n0,X12)
& leq(X12,n4) )
=> a_select2(sigmaold_init,X12) = init ) ) ) ),
introduced(definition) ).
fof(70,negated_conjecture,
~ ( epred1_0
=> a_select3(q_init,pv46,pv40) = init ),
inference(apply_def,[status(esa)],[67,69,theory(equality)]) ).
fof(160,negated_conjecture,
( epred1_0
& a_select3(q_init,pv46,pv40) != init ),
inference(fof_nnf,[status(thm)],[70]) ).
cnf(161,negated_conjecture,
a_select3(q_init,pv46,pv40) != init,
inference(split_conjunct,[status(thm)],[160]) ).
cnf(162,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[160]) ).
fof(188,plain,
( ~ epred1_0
| ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X4] :
( ~ leq(n0,X4)
| ~ leq(X4,n135299)
| ! [X5] :
( ~ leq(n0,X5)
| ~ leq(X5,n4)
| a_select3(q_init,X4,X5) = init ) )
& ! [X6] :
( ~ leq(n0,X6)
| ~ leq(X6,n4)
| a_select2(rho_init,X6) = init )
& ! [X7] :
( ~ leq(n0,X7)
| ~ leq(X7,pred(pv40))
| a_select2(mu_init,X7) = init )
& ! [X8] :
( ~ leq(n0,X8)
| ~ leq(X8,pred(pv40))
| a_select2(sigma_init,X8) = init )
& ! [X9] :
( ~ leq(n0,X9)
| ~ leq(X9,n4)
| a_select3(center_init,X9,n0) = init )
& ( ~ gt(loopcounter,n1)
| ! [X10] :
( ~ leq(n0,X10)
| ~ leq(X10,n4)
| a_select2(muold_init,X10) = init ) )
& ( ~ gt(loopcounter,n1)
| ! [X11] :
( ~ leq(n0,X11)
| ~ leq(X11,n4)
| a_select2(rhoold_init,X11) = init ) )
& ( ~ gt(loopcounter,n1)
| ! [X12] :
( ~ leq(n0,X12)
| ~ leq(X12,n4)
| a_select2(sigmaold_init,X12) = init ) ) ) ),
inference(fof_nnf,[status(thm)],[69]) ).
fof(189,plain,
( ~ epred1_0
| ( a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299)
& ! [X13] :
( ~ leq(n0,X13)
| ~ leq(X13,n135299)
| ! [X14] :
( ~ leq(n0,X14)
| ~ leq(X14,n4)
| a_select3(q_init,X13,X14) = init ) )
& ! [X15] :
( ~ leq(n0,X15)
| ~ leq(X15,n4)
| a_select2(rho_init,X15) = init )
& ! [X16] :
( ~ leq(n0,X16)
| ~ leq(X16,pred(pv40))
| a_select2(mu_init,X16) = init )
& ! [X17] :
( ~ leq(n0,X17)
| ~ leq(X17,pred(pv40))
| a_select2(sigma_init,X17) = init )
& ! [X18] :
( ~ leq(n0,X18)
| ~ leq(X18,n4)
| a_select3(center_init,X18,n0) = init )
& ( ~ gt(loopcounter,n1)
| ! [X19] :
( ~ leq(n0,X19)
| ~ leq(X19,n4)
| a_select2(muold_init,X19) = init ) )
& ( ~ gt(loopcounter,n1)
| ! [X20] :
( ~ leq(n0,X20)
| ~ leq(X20,n4)
| a_select2(rhoold_init,X20) = init ) )
& ( ~ gt(loopcounter,n1)
| ! [X21] :
( ~ leq(n0,X21)
| ~ leq(X21,n4)
| a_select2(sigmaold_init,X21) = init ) ) ) ),
inference(variable_rename,[status(thm)],[188]) ).
fof(190,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ( ( ~ leq(n0,X21)
| ~ leq(X21,n4)
| a_select2(sigmaold_init,X21) = init
| ~ gt(loopcounter,n1) )
& ( ~ leq(n0,X20)
| ~ leq(X20,n4)
| a_select2(rhoold_init,X20) = init
| ~ gt(loopcounter,n1) )
& ( ~ leq(n0,X19)
| ~ leq(X19,n4)
| a_select2(muold_init,X19) = init
| ~ gt(loopcounter,n1) )
& ( ~ leq(n0,X18)
| ~ leq(X18,n4)
| a_select3(center_init,X18,n0) = init )
& ( ~ leq(n0,X17)
| ~ leq(X17,pred(pv40))
| a_select2(sigma_init,X17) = init )
& ( ~ leq(n0,X16)
| ~ leq(X16,pred(pv40))
| a_select2(mu_init,X16) = init )
& ( ~ leq(n0,X15)
| ~ leq(X15,n4)
| a_select2(rho_init,X15) = init )
& ( ~ leq(n0,X14)
| ~ leq(X14,n4)
| a_select3(q_init,X13,X14) = init
| ~ leq(n0,X13)
| ~ leq(X13,n135299) )
& a_select2(mu_init,pv40) = init
& leq(n0,pv40)
& leq(n0,pv46)
& leq(pv40,n4)
& leq(pv46,n135299) )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[189]) ).
fof(191,plain,
! [X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ( ~ leq(n0,X21)
| ~ leq(X21,n4)
| a_select2(sigmaold_init,X21) = init
| ~ gt(loopcounter,n1)
| ~ epred1_0 )
& ( ~ leq(n0,X20)
| ~ leq(X20,n4)
| a_select2(rhoold_init,X20) = init
| ~ gt(loopcounter,n1)
| ~ epred1_0 )
& ( ~ leq(n0,X19)
| ~ leq(X19,n4)
| a_select2(muold_init,X19) = init
| ~ gt(loopcounter,n1)
| ~ epred1_0 )
& ( ~ leq(n0,X18)
| ~ leq(X18,n4)
| a_select3(center_init,X18,n0) = init
| ~ epred1_0 )
& ( ~ leq(n0,X17)
| ~ leq(X17,pred(pv40))
| a_select2(sigma_init,X17) = init
| ~ epred1_0 )
& ( ~ leq(n0,X16)
| ~ leq(X16,pred(pv40))
| a_select2(mu_init,X16) = init
| ~ epred1_0 )
& ( ~ leq(n0,X15)
| ~ leq(X15,n4)
| a_select2(rho_init,X15) = init
| ~ epred1_0 )
& ( ~ leq(n0,X14)
| ~ leq(X14,n4)
| a_select3(q_init,X13,X14) = init
| ~ leq(n0,X13)
| ~ leq(X13,n135299)
| ~ epred1_0 )
& ( a_select2(mu_init,pv40) = init
| ~ epred1_0 )
& ( leq(n0,pv40)
| ~ epred1_0 )
& ( leq(n0,pv46)
| ~ epred1_0 )
& ( leq(pv40,n4)
| ~ epred1_0 )
& ( leq(pv46,n135299)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[190]) ).
cnf(192,plain,
( leq(pv46,n135299)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[191]) ).
cnf(193,plain,
( leq(pv40,n4)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[191]) ).
cnf(194,plain,
( leq(n0,pv46)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[191]) ).
cnf(195,plain,
( leq(n0,pv40)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[191]) ).
cnf(197,plain,
( a_select3(q_init,X1,X2) = init
| ~ epred1_0
| ~ leq(X1,n135299)
| ~ leq(n0,X1)
| ~ leq(X2,n4)
| ~ leq(n0,X2) ),
inference(split_conjunct,[status(thm)],[191]) ).
cnf(229,plain,
( leq(n0,pv40)
| $false ),
inference(rw,[status(thm)],[195,162,theory(equality)]) ).
cnf(230,plain,
leq(n0,pv40),
inference(cn,[status(thm)],[229,theory(equality)]) ).
cnf(231,plain,
( leq(n0,pv46)
| $false ),
inference(rw,[status(thm)],[194,162,theory(equality)]) ).
cnf(232,plain,
leq(n0,pv46),
inference(cn,[status(thm)],[231,theory(equality)]) ).
cnf(233,plain,
( leq(pv40,n4)
| $false ),
inference(rw,[status(thm)],[193,162,theory(equality)]) ).
cnf(234,plain,
leq(pv40,n4),
inference(cn,[status(thm)],[233,theory(equality)]) ).
cnf(235,plain,
( leq(pv46,n135299)
| $false ),
inference(rw,[status(thm)],[192,162,theory(equality)]) ).
cnf(236,plain,
leq(pv46,n135299),
inference(cn,[status(thm)],[235,theory(equality)]) ).
cnf(443,plain,
( a_select3(q_init,X1,X2) = init
| $false
| ~ leq(X2,n4)
| ~ leq(X1,n135299)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[197,162,theory(equality)]) ).
cnf(444,plain,
( a_select3(q_init,X1,X2) = init
| ~ leq(X2,n4)
| ~ leq(X1,n135299)
| ~ leq(n0,X2)
| ~ leq(n0,X1) ),
inference(cn,[status(thm)],[443,theory(equality)]) ).
cnf(445,plain,
( ~ leq(pv40,n4)
| ~ leq(pv46,n135299)
| ~ leq(n0,pv40)
| ~ leq(n0,pv46) ),
inference(spm,[status(thm)],[161,444,theory(equality)]) ).
cnf(446,plain,
( $false
| ~ leq(pv46,n135299)
| ~ leq(n0,pv40)
| ~ leq(n0,pv46) ),
inference(rw,[status(thm)],[445,234,theory(equality)]) ).
cnf(447,plain,
( $false
| $false
| ~ leq(n0,pv40)
| ~ leq(n0,pv46) ),
inference(rw,[status(thm)],[446,236,theory(equality)]) ).
cnf(448,plain,
( $false
| $false
| $false
| ~ leq(n0,pv46) ),
inference(rw,[status(thm)],[447,230,theory(equality)]) ).
cnf(449,plain,
( $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[448,232,theory(equality)]) ).
cnf(450,plain,
$false,
inference(cn,[status(thm)],[449,theory(equality)]) ).
cnf(451,plain,
$false,
450,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV168+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpusBWyg/sel_SWV168+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV168+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV168+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV168+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
%
%------------------------------------------------------------------------------