TSTP Solution File: SWV194+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SWV194+1 : TPTP v5.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 12:23:05 EST 2010
% Result : Theorem 0.27s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 398 ( 216 equ)
% Maximal formula atoms : 74 ( 11 avg)
% Number of connectives : 450 ( 87 ~; 82 |; 267 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 11 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 46 ( 0 sgn 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(16,axiom,
! [X1] : ~ gt(X1,X1),
file('/tmp/tmpnMMBv3/sel_SWV194+1.p_1',irreflexivity_gt) ).
fof(35,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,pred(pv5)) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5) )
=> a_select3(u_defuse,X8,X9) = use ) ),
file('/tmp/tmpnMMBv3/sel_SWV194+1.p_1',quaternion_ds1_inuse_0005) ).
fof(52,axiom,
! [X1] :
( ( leq(n0,X1)
& leq(X1,n0) )
=> X1 = n0 ),
file('/tmp/tmpnMMBv3/sel_SWV194+1.p_1',finite_domain_0) ).
fof(68,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,pred(pv5)) )
=> a_select3(z_defuse,X6,X7) = use ) )
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5) )
=> a_select3(u_defuse,X8,X9) = use ) ),
inference(assume_negation,[status(cth)],[35]) ).
fof(69,plain,
! [X1] : ~ gt(X1,X1),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(70,plain,
( epred1_0
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pred(pv5)) )
=> a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ( leq(n0,X6)
& leq(n0,X7)
& leq(X6,n2)
& leq(X7,pred(pv5)) )
=> a_select3(z_defuse,X6,X7) = use ) ) ),
introduced(definition) ).
fof(71,negated_conjecture,
~ ( epred1_0
=> ! [X8,X9] :
( ( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5) )
=> a_select3(u_defuse,X8,X9) = use ) ),
inference(apply_def,[status(esa)],[68,70,theory(equality)]) ).
fof(106,plain,
! [X2] : ~ gt(X2,X2),
inference(variable_rename,[status(thm)],[69]) ).
cnf(107,plain,
~ gt(X1,X1),
inference(split_conjunct,[status(thm)],[106]) ).
fof(143,negated_conjecture,
( epred1_0
& ? [X8,X9] :
( leq(n0,X8)
& leq(n0,X9)
& leq(X8,n2)
& leq(X9,pv5)
& a_select3(u_defuse,X8,X9) != use ) ),
inference(fof_nnf,[status(thm)],[71]) ).
fof(144,negated_conjecture,
( epred1_0
& ? [X10,X11] :
( leq(n0,X10)
& leq(n0,X11)
& leq(X10,n2)
& leq(X11,pv5)
& a_select3(u_defuse,X10,X11) != use ) ),
inference(variable_rename,[status(thm)],[143]) ).
fof(145,negated_conjecture,
( epred1_0
& leq(n0,esk1_0)
& leq(n0,esk2_0)
& leq(esk1_0,n2)
& leq(esk2_0,pv5)
& a_select3(u_defuse,esk1_0,esk2_0) != use ),
inference(skolemize,[status(esa)],[144]) ).
cnf(151,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[145]) ).
fof(176,plain,
! [X1] :
( ~ leq(n0,X1)
| ~ leq(X1,n0)
| X1 = n0 ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(177,plain,
! [X2] :
( ~ leq(n0,X2)
| ~ leq(X2,n0)
| X2 = n0 ),
inference(variable_rename,[status(thm)],[176]) ).
cnf(178,plain,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
inference(split_conjunct,[status(thm)],[177]) ).
fof(196,plain,
( ~ epred1_0
| ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X4,X5] :
( ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5))
| a_select3(u_defuse,X4,X5) = use )
& ! [X6,X7] :
( ~ leq(n0,X6)
| ~ leq(n0,X7)
| ~ leq(X6,n2)
| ~ leq(X7,pred(pv5))
| a_select3(z_defuse,X6,X7) = use ) ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(197,plain,
( ~ epred1_0
| ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X8,X9] :
( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,pred(pv5))
| a_select3(u_defuse,X8,X9) = use )
& ! [X10,X11] :
( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,pred(pv5))
| a_select3(z_defuse,X10,X11) = use ) ) ),
inference(variable_rename,[status(thm)],[196]) ).
fof(198,plain,
! [X8,X9,X10,X11] :
( ( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,pred(pv5))
| a_select3(z_defuse,X10,X11) = use )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,pred(pv5))
| a_select3(u_defuse,X8,X9) = use )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0) )
| ~ epred1_0 ),
inference(shift_quantors,[status(thm)],[197]) ).
fof(199,plain,
! [X8,X9,X10,X11] :
( ( ~ leq(n0,X10)
| ~ leq(n0,X11)
| ~ leq(X10,n2)
| ~ leq(X11,pred(pv5))
| a_select3(z_defuse,X10,X11) = use
| ~ epred1_0 )
& ( ~ leq(n0,X8)
| ~ leq(n0,X9)
| ~ leq(X8,n2)
| ~ leq(X9,pred(pv5))
| a_select3(u_defuse,X8,X9) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(rho_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(sigma_defuse,n5) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n0,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n1,n0) = use
| ~ epred1_0 )
& ( a_select3(u_defuse,n2,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_mean_defuse,n5) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n0) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n1) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n2) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n3) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n4) = use
| ~ epred1_0 )
& ( a_select2(xinit_noise_defuse,n5) = use
| ~ epred1_0 )
& ( leq(n0,pv5)
| ~ epred1_0 )
& ( leq(pv5,n0)
| ~ epred1_0 )
& ( leq(pv5,n998)
| ~ epred1_0 )
& ( gt(pv5,n0)
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[198]) ).
cnf(200,plain,
( gt(pv5,n0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(202,plain,
( leq(pv5,n0)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(203,plain,
( leq(n0,pv5)
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[199]) ).
cnf(257,plain,
( leq(n0,pv5)
| $false ),
inference(rw,[status(thm)],[203,151,theory(equality)]) ).
cnf(258,plain,
leq(n0,pv5),
inference(cn,[status(thm)],[257,theory(equality)]) ).
cnf(259,plain,
( leq(pv5,n0)
| $false ),
inference(rw,[status(thm)],[202,151,theory(equality)]) ).
cnf(260,plain,
leq(pv5,n0),
inference(cn,[status(thm)],[259,theory(equality)]) ).
cnf(269,plain,
( gt(pv5,n0)
| $false ),
inference(rw,[status(thm)],[200,151,theory(equality)]) ).
cnf(270,plain,
gt(pv5,n0),
inference(cn,[status(thm)],[269,theory(equality)]) ).
cnf(324,plain,
( n0 = pv5
| ~ leq(n0,pv5) ),
inference(spm,[status(thm)],[178,260,theory(equality)]) ).
cnf(325,plain,
( n0 = pv5
| $false ),
inference(rw,[status(thm)],[324,258,theory(equality)]) ).
cnf(326,plain,
n0 = pv5,
inference(cn,[status(thm)],[325,theory(equality)]) ).
cnf(603,plain,
gt(n0,n0),
inference(rw,[status(thm)],[270,326,theory(equality)]) ).
cnf(604,plain,
$false,
inference(sr,[status(thm)],[603,107,theory(equality)]) ).
cnf(605,plain,
$false,
604,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SWV/SWV194+1.p
% --creating new selector for [SWV003+0.ax]
% -running prover on /tmp/tmpnMMBv3/sel_SWV194+1.p_1 with time limit 29
% -prover status Theorem
% Problem SWV194+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SWV/SWV194+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SWV/SWV194+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
%
%------------------------------------------------------------------------------